{"text":"Question: Let t(l) = 2*l + l + 0 + 5*l**2 + 1 - 2*l**2. Give t(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 1 and -1\/68 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = -s**2 + 7*s + 9. Let n be p(8). Let w be (-5)\/(n + 34) + 29\/7. Solve -21 = -w*l - 5*i, -3*l = 2*l + 2*i - 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ccag when four letters picked without replacement from {g: 1, a: 1, w: 5, c: 3}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from xaaxxx. What is prob of sequence xxxa?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z**2 + 25*z**2 + 0*z - 24 + 5*z - 2*z**4 + 0 - 8*z**3 + 3*z = 0. Calculate z.\nAnswer: -6, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h - 2*x + 1448 = 0, 488 = -2*h - 3*x + 1930. What is the remainder when h is divided by 142?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 14980509 to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*d - 4*d. Suppose z + 135 = 4*z + 3*s, -3*z + 155 = -s. Suppose m + m - z = d. Solve -5*g + 0*g - m = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine m, given that -2*m**5\/11 + 2218*m**4\/11 - 554372*m**3\/11 - 34437872*m**2\/11 + 36089920*m\/11 + 69971200\/11 = 0.\nAnswer: -52, -1, 2, 580","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = f**2 - 12*f + 37. Let r be d(8). Suppose -23 - 177 = -10*k. Solve r*s = 3*h - 32, 2*s + 0*h = 3*h - k for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 240*g + 551 + 550 + 480 - 1593 to j + i*g and give j.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 4030 and 4433.\nAnswer: 44330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 1165005*f**3 - 252124*f?\nAnswer: 6990030*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 4*a**3 - 67231*a**2 + 83768*a?\nAnswer: 24*a - 134462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = -5*b - 50. Let j be i(-10). Solve 5*w = -3*a - j*a - 2, 3 = 4*a + w for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 9 - 1\/((-1)\/(-5)). Solve q + 0*q = -t for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1 or 106154?\nAnswer: 106154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 16729*i**4*s**3 + i*s**3 - 6*i*s**2 - 671*s**3 wrt i.\nAnswer: 200748*i**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 796 = -306*v + 505*v. Solve -2*j + v*t = -2, -j - 5*t + 5 = 25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.02 in 2\/9, 0.3, -2\/279?\nAnswer: -2\/279","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (-186)\/1491 + (66\/(-77))\/6 and 19\/11?\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 182\/(-1183) + (1 - 1) + 225\/(-819)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2244649.\nAnswer: 11, 204059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a + 180 = 168. Suppose 0 = a*n - 2*p - 46, -5*n + 5*p = -n - 43. Let w be 264\/32*1*n. What is the highest common factor of w and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.0125083 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t = -14 - -24. Let m(v) = -490*v - 1467. Let w be m(-3). Solve w*h - t = h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1 + 0. Let n = -0.4 - -0.5. Let f = 0.2 - n. What is the nearest to -0.1 in o, f, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 231 minutes before 2:12 PM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = 1211*m**3 - 3*m**2 + 3*m - 9. Let o(g) = -3634*g**3 + 8*g**2 - 8*g + 24. Determine -8*h(b) - 3*o(b).\nAnswer: 1214*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x = t + 51 - 156, 0 = -3*x + 12. Suppose 93*g = t*g + 36. Solve -2*w - 3 + g = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 54\/5 of a milligram?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 83727063 to the nearest integer?\nAnswer: 9150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 340237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 472635 is divided by 157428.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 17, 14, 3, -10, -19?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 27*b**3 - 92985*b + 186765*b - 2*b**3 - 93780*b.\nAnswer: 25*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = -28*d - 3. Let p be a(-2). Suppose t = -4*f + p, t - 3 = -2*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: Suppose -a - d = 4*d + 16, 3*d + 6 = 0. Let u = a - -1. Does 14 divide (-158)\/(-5) - 2\/u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -162 - -224. Find the second derivative of -v**4 - 5 + w*v**2 - 47*v - 63*v**2 + 5 wrt v.\nAnswer: -12*v**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:01 PM and 3:37 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -c*z**3 - 20*c - 2*z**4 - 1132*z**2 - 49 with respect to z.\nAnswer: -3*c*z**2 - 8*z**3 - 2264*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2727094 divided by 2.\nAnswer: 1363547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i = 12.9 + 2.2. Let o = 6 - -5.1. Let z = o - i. Which is the second smallest value? (a) -18 (b) z (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*f - 4 - 8 = z, -10 = 3*f + z for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -48 = -3*i - 66. What is the lowest common multiple of 191\/21 - i\/(-63) and 19?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -13*160\/(-624)*(24\/110)\/(-2)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -194*q**3 - 253*q + 1 wrt q.\nAnswer: -1164*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.13 in -2, 0, -2\/9, 1, -150?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = -d**3 + 5*d**2 - 2*d + 5. Determine m(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d be 0\/1 + -1 + -28. Let v = 35 + d. Suppose 5*l - m - 24 = -v, 0 = l - 5*m - 18. Solve -4*u - 3*b + 0*b - 17 = 0, -u - 11 = l*b for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -86 + 119. Is q a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 1, -5, -33 in decreasing order.\nAnswer: 5, 1, -5, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 36371411 and 7295.\nAnswer: 1459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = 306 - 310 - 3*o + 0*o. What is m(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 14\/77 + 9004790\/1012. Let j = w - 8897. What is the common denominator of -11\/5 and j?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from hhhww. What is prob of picking 3 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (119*z**3 - 222*z**3 + 115*z**3)*(4 + 5*z + 1 - 4).\nAnswer: 60*z**4 + 12*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 1 - 1c?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -96 divided by 858\nAnswer: -16\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in 79.6042 weeks?\nAnswer: 13373.5056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 191 a factor of 175773039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-351)\/(-26))\/(1\/4). What is the greatest common divisor of v and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 20 times -25531.6?\nAnswer: -510632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -104743 (base 8) in base 6?\nAnswer: -431231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide 3 by 72536.\nAnswer: 3\/72536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify s*s\/s**(-2)*s**(1\/4)*s**(4\/7)*s**4\/s assuming s is positive.\nAnswer: s**(219\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-2)\/4)\/(3\/5). Let a = -3\/2 - o. Let v = -3.5 - -3.4. What is the nearest to a in -0.3, -4, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = -a**2 + 1. Suppose 0 = 5*j - 2 - 8. Let n(u) = -u**2 + u + 1. Let w(d) = j*n(d) - m(d). Determine w(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = -2*w + 35. Let p be a(12). Suppose -2*v - 165 = -7*v. Calculate the highest common divisor of p and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) be the third derivative of b**6\/120 - b**5\/30 + 2*b**3\/3 - b**2 + 2*b - 1553. Determine o(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 209 and 133.\nAnswer: 1463","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -19 + (5 - (-19 + 5)) + -7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 7, t: 8, x: 1, f: 4}. Give prob of picking 1 t and 1 f.\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -168, -258, -348, -438, -528?\n\"Answer: -90*s - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (53 + 15*p - 53)*(0 - 2*p + 0)*(p - p + 3*p) + 3*p**2 + p**3 - 3*p**2.\nAnswer: -89*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 6635051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a\/((a\/((a*a\/a**5)\/a)*a)\/a*a))\/a*a\/(a\/(a\/(a\/(a*(a**(-1\/8)\/a)\/a))))*(a**(2\/3)*a*a)**(4\/19)*((a**(-1\/2)*a)**(-2\/17))**(-3\/4) assuming a is positive.\nAnswer: a**(-50539\/7752)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) be the third derivative of -7*z**5\/60 - 13*z**4\/8 - z**3\/2 + 21*z**2. Let k = 5 + 44. What is the remainder when k is divided by q(-5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 11 - 6. Let z be ((-2)\/w)\/((-7)\/(-5)). Let x = 5\/13 + -41\/39. Which is smaller: z or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 37392 and 4512747?\nAnswer: 2337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.1 and 0.74153.\nAnswer: 0.074153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -0.056 (b) 2\/41 (c) -3\/8 (d) -0.0287\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) be the third derivative of 11*g**5\/30 + 11*g**2. Let q(f) = f**2 + f - 13. Let s be q(4). Let a(k) = 9*k + s*k - 14*k. What is a(b(j))?\nAnswer: 44*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xgx when three letters picked without replacement from xxgxxxxggg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 1085730 a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3231521?\nAnswer: 3231521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.1, -0.21, 4, -1.5, 2 in decreasing order.\nAnswer: 4, 2, 0.1, -0.21, -1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*p + 2*p + 2*p)*(-3 + 5 - 1) + 8*p - 2*p + 3*p - p + 2*p + p + (-45 + 45 + 24*p)*(8 + 0 + 1).\nAnswer: 226*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(-6*sqrt(55)*-3 - sqrt(55))\/(sqrt(405)*-3).\nAnswer: -17*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((-3 + 0 + 2)*(7*w - 4*w + 5*w) - 3*w - 3 + 3)*(-2*w**2 - 3 + 3) to the form j*w**2 + t + o*w**3 + a*w and give o.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*((sqrt(11) - (sqrt(11) + sqrt(176)))*4 + 1 + 2).\nAnswer: -16*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = c**3 - 5*c**2 - 3*c + 6. What are the prime factors of x(6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = -2*b + 1. Let a = -9 - -5. Let d(g) = 8*g + 97. Calculate the remainder when d(-10) is divided by n(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence deq when three letters picked without replacement from eddqfe.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 9078*b*q**2 - 10114648*b*q + 330*q**2 wrt q.\nAnswer: 18156*b + 660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -2ddad5 - 1?\nAnswer: -2ddad6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = 19*g - 236. What is y(0)?\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 54\/105 - 8\/(-28).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 16.7959 + -16.8. What is a rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 r and 2 j when three letters picked without replacement from rjiiiijirjjijjjiiri?\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v = -2\/7 - 4\/35. What is the smallest value in -3, 3\/2, v, 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -302 + 300. Let k(p) = -3 - 21*p + 10 - 24. Let a(t) = -5*t - 4. Calculate s*k(x) + 9*a(x).\nAnswer: -3*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of -2 + (-10038)\/(-11) + (-132)\/242 and 2080.\nAnswer: 14560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4 = 71*l - 69*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 364601 is divided by 121484?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000114648 rounded to 5 dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r = -25 + 21. Let y be (-2)\/r*84\/7. Let m be 13\/(-39) - 4\/y. Sort m, 1, 3 in increasing order.\nAnswer: m, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -55 - -80. Suppose -f*w + 9*w = -1600. Suppose 3*l - w = l. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-35)\/21)\/((-6)\/18)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 4241 divide 30755732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 29443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Work out -58677.6264 - 42.5.\nAnswer: -58720.1264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -980, -1958, -2936, -3914, -4892?\nAnswer: -5870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*a - 4*a - 5*h + 26, 0 = a - h + 1. Let m be a*(4 - 1 - 12). List the prime factors of 8\/(-3)*m\/18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d = -5*p + 6 - 38, 5*p = -4*d + 94. Solve 0 = 2*l + 5*l + d for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yy when two letters picked without replacement from yyyyyyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r*r**(-1))\/r)**(2\/73)\/(r**0*r)**(-1\/7) assuming r is positive.\nAnswer: r**(59\/511)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h + 8*h = -550000. Round h to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 a when two letters picked without replacement from pcaagqpppppc?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p be (182\/(-145600))\/((-92)\/(-10)). Which is bigger: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = 199*h**2 - 7*h - 5. Determine x(-1).\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = -y**3 + 55*y**2 - 568*y - 265. Determine m(41).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -53*j**2 + 53*j**2 + 1847 + 1913 + j**3 - 3760.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 1023433*f**2 + 271118*f wrt f?\nAnswer: 2046866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in twenty-six fifths of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -d**4 - d - 16 - 9*d**2 - 4*d**3 + 0*d + 45 + 7*d**2 - 14 as l*d**2 + x*d**4 + y*d**3 + c + g*d and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 797*t - 9660 = 787*t. Does t = 968?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 8\/(2 + 0) + -1. Let h be (1 - 77\/66)\/((-2)\/4). Which is the third biggest value? (a) p (b) h (c) 0.23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 552.1368 centimeters to nanometers.\nAnswer: 5521368000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d**5\/7 + 1362*d**4\/7 + 15140*d**3\/7 + 58000*d**2\/7 + 88512*d\/7 + 44288\/7 = 0. What is d?\nAnswer: -4, -2, -1, 692","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0 - 2 + 0)*(63*c + 10*c + 27*c)*(-3*c + 0*c - 9*c) to the form h*c + k*c**2 + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 48 divided by -2.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -4.541197 and 6?\nAnswer: -27.247182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i - 5*t + 43 = -53, 4*i - 284 = 5*t. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -34*m + 37*m = 5*p - 72667, 0 = -2*m + 2. List the prime factors of p.\nAnswer: 2, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -182 + 179.93. Let r = -6.83 + v. Round r to zero dps.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(104)*-5 - -3*sqrt(104)*2)\/(sqrt(1152) - ((sqrt(1152) - 4*2*sqrt(1152)) + sqrt(1152))).\nAnswer: sqrt(13)\/84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round 79.595 to 0 dps.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p - u = -10, -3*p = -0*p - 2*u - 16. Suppose p*g - 685 - 1059 = 4*y, -3*g = 4*y - 1322. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 75\/10*(2\/(-4))\/((-189)\/(-126))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ll when two letters picked without replacement from {n: 7, i: 1, t: 6, k: 1, l: 2, b: 2}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = 1457*l**2 + 141*l. Let g(j) = -52*j**2 - 5*j. Let b = -8998 - -8857. What is b*g(w) - 5*f(w)?\nAnswer: 47*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(975) + (sqrt(975)*1*-2 - sqrt(975)) - sqrt(975))\/(6*(1*sqrt(27) - sqrt(3))).\nAnswer: -5*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -18 - 14 + 15 - 129*o + 17.\nAnswer: -129*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.2 + 0.5. Let f = u + 2.7. What is the closest to 0.1 in -1, -2\/15, f?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = 36*r**3 + 2*r**2 - 2*r - 3. Calculate c(-1).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = 5*p + 4. Let s be ((-6)\/(-4))\/((-6)\/16). Let o(c) be the first derivative of 7*c**2 + 11*c + 7. Let v(n) = s*o(n) + 11*k(n). Give v(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -11592 divided by 1524?\nAnswer: -966\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express -33*q**2 - 45*q - 25*q + 34*q**2 in the form r*q**2 + k*q + p and give k.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 61447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -20110 + -1002122202?\nAnswer: -1002220012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b = 792 + -662. Let l be 3\/((-3)\/2) - -4. Let x(y) = -136*y**2 + 270*y**2 - b*y**l. Let v(a) = 6*a. Give x(v(g)).\nAnswer: 144*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (24\/16)\/((-21)\/4).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 6 - 14\/7*(-54)\/(-24)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 443699256 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-1370)\/(-60) - 6) + ((-27)\/36)\/(63\/(-14)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:14 PM and 8:24 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*-2*((0 + sqrt(1700) - sqrt(1700))**2 - sqrt(1700)).\nAnswer: -80*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0 + 2*x + 0)*(-1 - 5 + 5) - 49*x - 1309 + 1309 to the form s*x + o and give s.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m = 2*m - 3*v - 1, -3*m + 25 = -5*v. Suppose 176 = m*o + 3*o. Suppose 400 - o = 3*t. Is 18 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-1)\/(-21)*(-279)\/(-62))\/(12\/(-14)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**9)**(-33)\/((l\/(l**8*l))\/(l\/(l*l\/l**(-8)*l))) assuming l is positive.\nAnswer: l**(-299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 306325 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i + 17 = -b, -5*i - 5*b - 5 = -0*b. Suppose -48*k + 12 = -42*k. Calculate the least common multiple of k and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 3 + -2 + 1733\/(-1898). Let o = -392479\/244842 - m. Let n = o - -1\/43. What is the nearest to -1 in -1\/5, n, 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 539*a - 10182 + 30664 = 0 for a.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l = -4 - -7. Let y(m) = 2*m + 1. Does 7 divide y(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) be the second derivative of -11*p**3\/6 - p**2\/2 + 11*p. Suppose -5*z + 16*z - 11 = 0. Let w(k) = 3 - 3 + 113*k + z - 107*k. Give -4*n(o) - 7*w(o).\nAnswer: 2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a = 2.599998 + -2.6. Round a to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 509268 and 955710.\nAnswer: 2192398740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-47)\/(-94))\/(3\/72)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: (3 - 0) + 0 + (32 - (-30 + 43))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 39283 and 241?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = 13*y**3 + 51*y**2 + 10*y + 1. Let f(k) = -5*k**3 - 25*k**2 - 6*k - 1. Give 5*f(i) + 2*s(i).\nAnswer: i**3 - 23*i**2 - 10*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4572*j - 13712*j + 1 + 4569*j - 1 + 4577*j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = u**3 - 6*u**2 + 5*u - 6. Let o be n(6). Suppose q = -2*q + o. Let k be q\/6 - 55\/(-15). What is the highest common factor of 20 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 - 12 = -2*a. Is a bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -15087 (b) 5 (c) 0 (d) -28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 4088 less than 4835?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Multiply 101878 and -26.7.\nAnswer: -2720142.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = -21*h - 3. Is 39 a factor of c(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 174.7 - 175. What is the nearest to -13 in g, 0.3, 0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -2 + 3. Let t = -2 + 2. Let g = t + 0.2. Which is the second biggest value? (a) -5 (b) y (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.7901688 days in seconds?\nAnswer: 68270.58432","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} {"text":"Question: Round 0.0319277508 to four decimal places.\nAnswer: 0.0319","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xzxxzzz. Give prob of sequence zzz.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h = 5 + -3. Let w be 26\/6 - h\/6. Let m(n) = -37*n**2 + 3*n - 2*n + 33*n**2 + n**3. Determine m(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = 23*i**2 - 4*i. Let n(d) = -d - 264. What is h(n(x))?\nAnswer: 23*x**2 + 12148*x + 1604064","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4 - 6) + 31 + -24 + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in one fifth of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 50481541 to the nearest integer?\nAnswer: 7105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {d: 5, n: 1, u: 3}. What is prob of picking 1 d, 2 u, and 1 n?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.26 * -2062662.\nAnswer: -536292.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2 - (8 - 2)) + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 7, q: 4}. What is prob of picking 2 j?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand v**2 - v - 31 + 349 + 3*v**2 - v**2 - 2*v**2 + 5*v**2 + (0*v + 3*v - v)*(0*v + 2*v - v) - 2*v**2 + 2*v**2 + v**2.\nAnswer: 9*v**2 - v + 318","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(-1 + sqrt(704) - sqrt(704))**2*-5.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = 5*i**2 + 8*i + 12. Calculate y(-3).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-119 - 103 + 205 - 3*w)*(3 - 3 - w**2).\nAnswer: 3*w**3 + 17*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pcdp when four letters picked without replacement from ddpcpcdcpcdd?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -152*g**2 - 232 wrt g.\nAnswer: -304*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 30380708 and 18936.\nAnswer: 546852744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 291598 or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b = 17 - 17. Let n = 0.06 - 0.26. What is the closest to b in n, 2, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -2\/36135, 0.6, -0.8 in increasing order.\nAnswer: -3, -0.8, -2\/36135, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round 7923.5 to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c = 2585 - 2603. Put 4, c, -2\/9 in descending order.\nAnswer: 4, -2\/9, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*x + 4*l - 13*l + l - 344, 2*x - 5*l - 216 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is next in 6696, 5418, 1904, -4962, -16296, -33214, -56832?\nAnswer: -88266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -32299189*h**4 - 2*h**2 - 201549623 wrt h.\nAnswer: -129196756*h**3 - 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 49000219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 870707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = 2*s**2 + 3*s. Let h be a(-3). Suppose h*m + 55 = 4*m. Sort m, 2, 4 in decreasing order.\nAnswer: 4, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -5 + 6. Let b be w + 1*4\/(-8). Let g = -0.1 + 1.1. What is the closest to 2 in -1\/9, b, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = -40878*c. Let j(q) = 48*q - 1. Determine j(h(a)).\nAnswer: -1962144*a - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 2 + c)*(-31*c**4 + 41*c**4 - 24*c**4) - 7*c**2 - c**5 + 7*c**2 + (-1 + 0 - 1)*(2*c**5 + 0*c**5 + 0*c**5).\nAnswer: -19*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:24 PM and 9:47 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 0 + 27405574?\nAnswer: 27405574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1292 and 4484.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -86*j = -85*j - 6 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d = 80 - 68. What is the highest common divisor of 20 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.1 * 2.3.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s = -4317 + 4676. Is s a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -51*p = -47*p + 5*b - 17280, 0 = 2*p - 4*b - 8614. List the prime factors of p.\nAnswer: 5, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*w**2\/3 + 575970*w.\nAnswer: -2*w*(w - 863955)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 879343216?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round -0.42277 to two dps.\nAnswer: -0.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b = -50 + 20. Let g = -33 - b. Let w be 1*(4\/(-4) - g). Solve 3*r + 10 = o, -3*o + w*r - 7*r + 2 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 31824 divided by -221\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 43, 107, 173, 241, 311?\n\"Answer: a**2 + 61*a - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Product of 1144 and 0.009089.\nAnswer: 10.397816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 172722553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = l**3 - 4*l + 3. Let k be w(2). Suppose -6*z = -k*z + 18. Let s(p) = p + 7. Give s(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = -u + 6. Suppose 1540 = u*s - 1306. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = -3*i**3 + 37*i**2 + 1713*i + 17. Let t(v) = v**3 - 13*v**2 - 573*v - 6. What is -17*t(s) - 6*w(s)?\nAnswer: s**3 - s**2 - 537*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -2\/7 (b) -4 (c) 15 (d) -0.51\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 1000302304442 - 1?\nAnswer: 1000302304441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 6540?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nnnn when four letters picked without replacement from nnnvnnnnnvnnnnnvvv.\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 9\/27*38*(-600)\/200?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 1481842079 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 18*((-208)\/(-3360) - (-7)\/210) + 75\/(-42)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 36 = 5*v - 8*v. Let j be (15\/60)\/((-163)\/v). Let r = 555\/3586 - j. Does 1 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -15 (base 16) to base 4\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = 5 - -2. Find the third derivative of 5*k**6 + 2*k**3 - 468*k**2 + v*k**6 + 416*k**2 wrt k.\nAnswer: 1440*k**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -3214 + 4643. Solve 5*b + 1419 - n = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1812463 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/5 in -5, -0.08302, -3\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0020295 to 4 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 5 + -154231?\nAnswer: -154223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*j + 6 = 7*j. Find the common denominator of 6\/15 + (-349)\/10 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = 8*d - 1. Suppose 0 = -0*q - 4*q. Suppose 3*k - 2*k - 2 = q. Is w(k) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -22332467.00132 plus -19?\nAnswer: -22332486.00132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u = 7445 + -4723. What are the prime factors of u?\nAnswer: 2, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = 2*d + 4. Let h be z(-2). Suppose 6*q - q = 0. Suppose q = 3*f - 6*f. Solve h = -3*x - f*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -x**2\/7 - 16*x\/7 - 15\/7 = 0.\nAnswer: -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = -c**2 - 22*c - 45. Calculate f(-25).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 203, 759, 1685, 2981, 4647, 6683, 9089?\n\"Answer: 185*o**2 + o + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -4 + 6 - d + 1 + 3. Let w be v(5). Suppose -4*o = 2*a - 36, -a = -5*o - 3*a + 45. What is the greatest common factor of o and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 62106?\nAnswer: 2, 3, 11, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 6752016 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10*d**3 + 5*d**3 - 16*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l + 89 = 3*j, -j + 19 + 18 = -3*l. What is the remainder when 368 is divided by j?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 17 - 21. Which is the third biggest value? (a) 0.4 (b) -3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = 2*v**3 - 2*v**2 - 2*v + 1. Let r be f(2). Sort 2, r, -1.\nAnswer: -1, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 2055, 2079, 2087, 2055, 1959, 1775, 1479, 1047?\n\"Answer: -4*j**3 + 16*j**2 + 4*j + 2039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 17*-1.2.\nAnswer: -20.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x = -5.35 - 0.95. Let o = x - 0.7. Let g = -7 - o. What is the third smallest value in 0.6, -0.2, g?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*f = -14*f + 150. Solve -5 + 0 = -p + x, f*x + 25 = -5*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from fyffffffyffffyff. What is prob of sequence fff?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -29*p**2\/6 - 59*p\/6 - 1\/3 = 0 for p.\nAnswer: -2, -1\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve o - 11 = -5*k, 5*k - 7 = 4*o + 24 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -s**3 - 6*s**2 + 6*s - 6. Let n = -5 + -2. Let r be v(n). Let b(z) = z. Let d be b(4). Solve d + r = 5*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5111474963?\nAnswer: 7, 101, 7229809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*sqrt(1280))\/(sqrt(110)\/sqrt(176) - sqrt(10)).\nAnswer: -64*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y = -7.7 - -5. Let w = 1.3 - y. Let x = 869 - 1739\/2. Put x, 0, w, -0.4 in descending order.\nAnswer: w, 0, -0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 172010000 to the nearest 1000000.\nAnswer: 172000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 32, 47, 62, 77, 92?\n\"Answer: 15*c + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 27 + -14 - 28 - -12?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-8)\/6)\/((-6)\/(-621)*23). Let i(z) be the first derivative of 2*z**3\/3 + 5*z**2 + 7*z + 3. Determine i(t).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -10*w + 7*w + 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t = -4.24 + 0.24. Let c = -17\/15 + 9\/5. Let r = -15.8 - -16. Put r, t, c in decreasing order.\nAnswer: c, r, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -38328, -76285, -114242?\n\"Answer: -37957*c - 371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -u**3\/5 - 61*u**2\/5 - 192*u - 180.\nAnswer: -(u + 1)*(u + 30)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(140) + (5*(sqrt(140) + 2*sqrt(140)) - sqrt(140)) + (sqrt(140) - -2*sqrt(140))*-5)\/(sqrt(70)\/(sqrt(10) - (sqrt(10) - sqrt(30)\/sqrt(3))*-1)*-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 72\/5 of a decade in months?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = 24*x**2 + 4*x + 69. Let t(z) = 23*z**2 + 3*z + 67. Determine -6*t(a) + 5*u(a).\nAnswer: -18*a**2 + 2*a - 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -5 divided by 229011603\nAnswer: -5\/229011603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = 4*a**2 + 22*a - 30. Let f be j(1). Put f, 4\/5, 16 in descending order.\nAnswer: 16, 4\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-1 + -4 - -5) + 1 + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = 13*g**2 + 2808*g + 4. Calculate f(-216).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (2\/(-6))\/((-18)\/(-50)) and (-25984)\/1914 + 30\/2?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s = 0, -5*t - 4 = -3*s - 29. Suppose -3*w = -5*w. Let q = t - w. Which is the closest to 1? (a) 0.2 (b) q (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {k: 4, x: 3, b: 7}. What is prob of picking 2 k and 2 x?\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t be (2 - (-22)\/(-12))*(-5 - -6). Let y = -2 - -1.5. Let f = 3.1 - 3. Sort t, f, y in decreasing order.\nAnswer: t, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) be the first derivative of -2450000*f**4 + f**3\/3 + f**2\/2 - 2*f + 10. Let i be n(1). What is i rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -16 (base 8) to base 4.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sum 4 and 4.02530826298.\nAnswer: 8.02530826298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0 + 40. Let s be (0\/24)\/(-7 + 1). Suppose s*i - 788 = -4*i. What is the remainder when i is divided by t?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 5621861225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s be 1\/1*1\/(-1). Let r be (12\/15)\/((-98)\/(-35)). What is the nearest to 0 in r, 4, s?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 447 a factor of 314794386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ppphh. Give prob of picking 1 h and 2 p.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 282084 (base 10) to base 8\nAnswer: 1046744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = g**3 - 3*g**2 - 12*g + 19. What is t(2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Add together 0.049786789 and -135.\nAnswer: -134.950213211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p = 452 + -464. Let y(a) = 7*a**2 + 24*a + 21. Let g(w) = 6*w**2 + 23*w + 21. Let f(v) = -6*g(v) + 5*y(v). Is 21 a factor of f(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = j**2 - 6*j - 11. Let k be ((-172)\/6)\/((-38)\/57). Suppose k - 3 = 5*t. Calculate the lowest common multiple of 5 and u(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -2 divided by -444\nAnswer: 1\/222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*z + 3 = -3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -4924349, -9848805, -14773261?\n\"Answer: -4924456*z + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k be (0\/1)\/(-2 - 0). Let t = k - 0. Let s = 0.3 + -0.5. What is the second biggest value in s, -2\/17, t?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 289 minutes before 4:34 AM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*y + 44*a + 16 = 45*a, a = 2*y + 8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 67182?\nAnswer: 2, 3, 11197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = 78*x**2 - 68*x - 97. Is 23 a factor of v(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mmm when three letters picked without replacement from {r: 1, j: 3, m: 5}?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 1799072 rounded to the nearest one hundred thousand?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = -h**2. Let k(n) = -2261*n. What is s(k(d))?\nAnswer: -5112121*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = 2*c**3 - 4 + 4. Let h = -26 - -24. Let z be -4 + h\/3*6. Let g(j) = -3*j**3. Give z*m(w) - 5*g(w).\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -39515, -79131, -118745, -158357, -197967, -237575, -277181?\nAnswer: -316785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11 - 3 = l - 3*d, 0 = -5*l - 5*d + 30. Suppose -l = 4*w - 8*w + s, 2*s + 2 = -3*w. Suppose 8*t = 3*t. Is w bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -706 = -375*p + 117*p - 3802 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 89 divided by -16963\nAnswer: -89\/16963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xx when two letters picked without replacement from {r: 6, x: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 4720970 rounded to the nearest one hundred thousand?\nAnswer: 4700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from dmdoomdddo. What is prob of picking 2 o and 1 m?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = -k**3 - 5*k**2 - 4*k - 1. Suppose -5*y - 2 + 127 = 0. Let s = y + -52. Let i be (s\/90 + 1\/(-5))*6. Calculate g(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*b - 977015 - 1096281 = 0. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 29009 a multiple of 252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 524790113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 89 + -68 - 16 - 25\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 2\/(-3)*(-6)\/(-88)*4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = 242\/3 - 80. Suppose 8 = k - 4*i, -2*k - 4*i + 6 = 2. Which is the nearest to m? (a) k (b) -6\/5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1 divided by -458031?\nAnswer: -1\/458031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = x**2 - 22. Calculate n(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*y - 45 = -9*y. Let l be 2*51 - (y + -3). Suppose -15 = -5*j + 10, 0 = -5*a - 2*j + l. Calculate the highest common divisor of a and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 26.163 - 26.463. Which is the fifth biggest value? (a) 0 (b) 94 (c) -2 (d) y (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 + -1 + 12 + (-34 - -37).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 691 minutes after 4:18 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -5 (b) 0.2 (c) 3.1 (d) 491 (e) 0.012\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h be (24\/15)\/(8\/(-20)). Let x be (h\/7)\/(40\/(-140)). Sort x, 13, 3, -3.\nAnswer: -3, x, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/34675? (a) -44 (b) -1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 991432495?\nAnswer: 5, 198286499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = 8*g**3 - 4*g**2 - 9*g. Let l(n) = 10*n**3 - 4*n**2 - 15*n. Determine 6*j(i) - 5*l(i).\nAnswer: -2*i**3 - 4*i**2 + 21*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1 - -1.2. Which is the second biggest value? (a) -2\/9 (b) w (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.78 and 12.1.\nAnswer: 9.438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n = 28646 + -143232\/5. Which is the nearest to n? (a) -3 (b) 24 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i + 2*m = 7*m - 7, 0 = 3*i - 5*m + 2. Let q be (-4)\/(-6)*(5 + i). Let l be (-5)\/q*(-1 + -3). Solve -l*a - 4*p = -5, a + 5*p = 6*a - 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -2140304 (base 5) to base 7.\nAnswer: -212511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand 13*j - 13*j + 3*j**4 + (3 + 2*j**3 - 3)*(0*j - 2*j - 9*j).\nAnswer: -19*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 2677199032 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = -o**2 - 33*o - 7. Let k(f) = -38*f - 8. Calculate 6*k(b) - 7*r(b).\nAnswer: 7*b**2 + 3*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = -2*u + 317. Determine x(-13).\nAnswer: 343","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in one quarter of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0.06609729 rounded to 5 decimal places?\nAnswer: 0.0661","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ps when two letters picked without replacement from ppkpkskp.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 4, 15, -6 in ascending order.\nAnswer: -6, -1, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand -j**3 + 2*j**4 + j**3 + (3*j - 3*j + 2*j**2)*(0*j**2 + 3*j**2 - 2*j**2) + 5*j**4 - 3*j**4 + 7*j**4.\nAnswer: 13*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (3*-1*sqrt(28) - (sqrt(224)\/(sqrt(40)\/sqrt(5)) - sqrt(28)))\/((sqrt(144) + sqrt(144)*2*-4 - sqrt(144))*2).\nAnswer: sqrt(7)\/32 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11*c**2 - c - 4*c + 5*c.\nAnswer: -11*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 120\/(-8) + -10 + 72\/6?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g - 3*a = -5*a - 24, 3*g - 36 = 2*a. Let i = g + -9. Is ((-455)\/(-15))\/(1\/i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-6)\/(-8) - (-354)\/(-472). Solve 3*j + 2*f - 17 = n, 2*j - 22 = -2*j - 2*f for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = -2*h - 12. Let k be l(-6). Suppose 1232 = -k*b + 7*b. Suppose -4*n + 0*n = -b. Calculate the least common multiple of n and 6.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 4, -3, 0.1, -4\/5, -159?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s = 56 - 49. Does 7 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s = -5*s - 12. What is the units digit of s\/3 - (-8 - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y + 4*j = 30, -3*y + 3*j - 14 = -j. Suppose -17 = y*t - 4*t + 3*h, -5*t - 5*h = -5. List the prime factors of 37\/t + 6\/(-24).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 41452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v be (309\/(-54))\/((-24)\/48). Let h = -35\/3 + v. Put -113, h, 0.1 in descending order.\nAnswer: 0.1, h, -113","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 + 0 - (-8 + -1 + (12 - 7))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c = 3 + 2. Suppose -c*o - 30 = -80. Suppose 0 = -2*d - 0 + 4. Calculate the smallest common multiple of o and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 6\/(-8)*(0 + 10\/15). Put 1, 4, 82, y in increasing order.\nAnswer: y, 1, 4, 82","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) be the second derivative of 817*y**7\/21 - 10*y**3\/3 + 7*y**2\/2 + 9*y - 91. Find the second derivative of x(b) wrt b.\nAnswer: 32680*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 87143498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose l = -l - 2*y + 26, -2*l - y + 27 = 0. Suppose l*g - 140 = 7*g. What is the least common multiple of g and 178?\nAnswer: 1780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 714 minutes after 10:25 AM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = 7*z - 1. Let m be i(-1). Let s = 3 + m. Let l(h) = h**2 + 3*h - 4. What is the units digit of l(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 80999 and 0.2.\nAnswer: 16199.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 62500 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 42469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w = -997\/5 + 200. Let c = w - 17\/45. Let u = 0.4 - 0.9. What is the third biggest value in -3, u, c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 691193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = -268*y - 495. What are the prime factors of m(-13)?\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 40*x - 46 = -6 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v = -12 - 6. Let y = 12 + v. Let i(b) be the second derivative of -b**4\/12 - 5*b**3\/6 - 5*b**2\/2 - 42*b. Determine i(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 6\/301, -1.7, 5, -2 in decreasing order.\nAnswer: 5, 6\/301, -1.7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u be 820\/50 + (-2)\/5. Let x be (((-800)\/70)\/(-20))\/((-2)\/(-14)). Solve 3*w + 5*o + 5 = -7, 0 = x*w - o + u for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = -8*f + 80. Let p(x) = -2*x**2 + 70*x - 123. Let l be p(33). Give d(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 209 and 2147.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:31 PM and 11:59 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 58149 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 205*m + 1204*m = 21508 - 6009 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 233 divided by -392656.\nAnswer: -233\/392656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 1\/10 of a kilometer?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 201749.\nAnswer: 229, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = p**3 + 7*p**2 + 7*p - 1. Calculate the remainder when 81 is divided by d(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 465.863 centuries?\nAnswer: 4658.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -1117 divided by -1\nAnswer: 1117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 4 and 8366?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 1785, 3569, 5353?\n\"Answer: 1784*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*-6*(((sqrt(1700) - (sqrt(1700)*-1 + -5)) + sqrt(1700) - sqrt(1700)) + -4 + 6*sqrt(1700)*2*6))**2.\nAnswer: 213120*sqrt(17) + 1340524944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b = -7 + 11. Let t(d) = -d**3 + 4*d**2 + 3*d - 2. Let i be t(b). Let p = -5 + i. Let f(r) = -r**3 + 5*r**2 + 7. Determine f(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 13\/(165828\/1)*(-2 - 224) and 89\/20.\nAnswer: 63780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -442 greater than -434?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x*x**(-1\/2)*x)\/x)\/x**(4\/5)*(x*((x*(x**(-2\/17)*x*x)\/x*x)\/x)\/x)\/(((x\/(x*x**(-7)*x))\/x)\/x) assuming x is positive.\nAnswer: x**(-411\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 289295 is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert 415.5366 millennia to centuries.\nAnswer: 4155.366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Determine w so that 2*w**5\/3 - 1152*w**4 - 975632*w**3\/3 - 20672516*w**2 + 86963802*w - 65964924 = 0.\nAnswer: -129, 1, 3, 1982","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g be 787020\/(-234)*(-6)\/4. What is the highest common factor of 5 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = -i**2 + 9*i + 312. Calculate the lowest common multiple of 12 and n(21).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-12)\/45 + (-714)\/(-315) - 55919\/(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (4*t**2 + 0 + 0)*(24*t - 14*t + 51*t) as q*t**3 + y*t + c*t**2 + p and give q.\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = -2*t**3 + 5*t**2 + 5. Let r = 7 + -2. Let a(j) = -2*j**3 + 4*j**2 + 4. Determine r*a(s) - 4*c(s).\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 3453471.9 seconds in hours?\nAnswer: 959.29775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7*r - 7 + 28. Let c(u) = -u**3 + 6*u**2 - 6*u + 45. Let p be c(5). Let 12*k - p*k**3 + 2*k**4 - 5*k**4 - 43*k**3 + 74*k**r = 0. Calculate k.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -3866 + 7957. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 19674521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 26807815230 + 982.1.\nAnswer: 26807816212.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 5, -5, 2254029, -2\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 49881.79ug in grams?\nAnswer: 0.04988179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -2*n**2 + 2 + 1 - n**2 in the form m + j*n + a*n**2 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Work out -5 + -8852.1.\nAnswer: -8857.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a + 34 = -3*a. Let x(m) = 110*m + 8. Let t be x(6). What is the remainder when (-2)\/(5 - t\/132) is divided by a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: (-22)\/(-5) + (-102)\/30\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) 0 (b) 71 (c) 1\/6 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 372, 753, 1134, 1515?\n\"Answer: 381*c - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -a916 + -2?\nAnswer: -a918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (k - 4*k + 2*k)*(-k**3 + 2*k**3 + 13*k**3 + (-k - 4*k + 7*k)*(1 - 2*k**2 - 1) + k**3 + 0*k + 0*k).\nAnswer: -11*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Are 23253 and 23254 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = 6*f - 4*f. Let a be f\/(-22) + 18\/22. Solve -4 = -w - a for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s = -23 - 49. Let d be (-2)\/(-5)*20\/s. What is the fourth biggest value in 5, d, 3, -0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = s**2 + 31*s - 1437. What is z(33)?\nAnswer: 675","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 4 + -a733?\nAnswer: -a72a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h be 68\/578 + 2\/(-17). Suppose 5*p = 5, -3*m - 2*p + 2744 - 399 = h. Calculate the greatest common divisor of m and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3982571.5 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round -6.625443 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o - 2*z = -4*o - 4, -5*o = -5*z. List the prime factors of o\/(20\/697) + 4\/(-10).\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = -102*k**2 + 2266*k + 20. Determine c(22).\nAnswer: 504","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 40 and 327120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*t + 3*t + 4*p + 1435, -5*t + 4*p = -2397. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-2)\/6)\/((-3)\/(-9)). Let r be (-3)\/(-2 - (w - 0)). Suppose r*h + 49 = 232. Calculate the remainder when h is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = 14 - 31 + 11 - f - 6*f**2. Let q be t(-3). What is q rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-501)\/2839)\/(15\/(-17))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -48714*q - 2132 - 4655*q**2 + 24356*q + 478 + 24358*q wrt q.\nAnswer: -9310*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(76) + -2 - sqrt(95)\/sqrt(180))**2 - (sqrt(171)*2*-2)\/(sqrt(90)\/(sqrt(10)*2 + sqrt(10)))) + 4.\nAnswer: 14*sqrt(19)\/3 + 2587\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 222733 and 168139720.\nAnswer: 4739","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from hhmttoothitmmtofmmmt.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 10101113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 31, 68, 147, 280, 479, 756, 1123?\nAnswer: 1592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = -3*c. Let g(t) = -72*t**2. Give g(b(r)).\nAnswer: -648*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + 3*(-1 + (sqrt(7) - (sqrt(7) + -1)*-2)))**2.\nAnswer: -90*sqrt(7) + 592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -0.09 and 606099.13626849?\nAnswer: 606099.22626849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert -769 (base 16) to base 13.\nAnswer: -b2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put together 1058.39 and 6.\nAnswer: 1064.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose q - 4*q + 6295 = b, -10503 = -5*q + 4*b. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 43\/2 of a meter?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/5? (a) 174 (b) 446\/15 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 75, 138, 173, 168, 111, -10, -207, -492?\nAnswer: -877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3126961068.\nAnswer: 2, 3, 7, 11, 181, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0015136 rounded to 4 dps?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = -i**3 + 2*i**2 + 10*i + 5. Determine y(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 190*i - 298 = -28 + 300 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1\/((-9)\/(-3672)) + (1 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -62 divided by 4553998\nAnswer: -31\/2276999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 160413?\nAnswer: 3, 11, 4861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 40 minutes before 11:11 AM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -12374661, -12374653, -12374641, -12374625, -12374605?\nAnswer: -12374581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round -0.237990799 to 4 decimal places.\nAnswer: -0.238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -0.2 + -1.1869275867763?\nAnswer: -1.3869275867763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 89 (b) 3\/2 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*(sqrt(3000) + sqrt(3000) + -1*sqrt(3000))*4)\/((-2*sqrt(864)*-3 - sqrt(864))*1).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 90045, 90323, 90589, 90843, 91085, 91315, 91533?\n\"Answer: -6*n**2 + 296*n + 89755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*sqrt(91)\/(2*sqrt(7)) + sqrt(13) + -6*sqrt(52) + -4)**2 - (sqrt(39)\/(1*sqrt(3)) + -2 - ((sqrt(13) - (sqrt(91)*-1)\/sqrt(7)) + 0)).\nAnswer: 101*sqrt(13) + 8197\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**(-3)*a*a**(10\/11))\/(a**(1\/11))**28 assuming a is positive.\nAnswer: a**(-40\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 14 - -183b0634?\nAnswer: 183b0648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -63\/115 and 26\/22011.\nAnswer: 110055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o = 893354\/3 - 297784. Let 2560\/3*f + o*f**5 + 2048\/3 + 1280\/3*f**2 + 40\/3*f**4 + 320\/3*f**3 = 0. Calculate f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (1*3)\/((-11)\/(-11)). Suppose 0 = -2*v + 4*c + 56, -y*v = 5*c - 72 + 10. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = u**3 - 6*u**2 - 5*u + 15. Give r(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 75 = 5*p + 3*i, -2*i = -5*p - 4*i + 70. What is the smallest common multiple of 8 and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 220120 - -11?\nAnswer: 220201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 14.86? (a) 101 (b) -0.3 (c) -2 (d) -2\/3 (e) -5 (f) -1\/8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (28\/98*1*23)\/(54\/189)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = 13.97 + -14.97. Which is the closest to f? (a) -2 (b) -23 (c) -1 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 0\/3 - 4\/(-1). Suppose -6*j = 3*k - 3*j + 18, 0 = f*k + 3*j + 22. Calculate the common denominator of 38\/5 and (-1)\/k - (-26)\/(-72).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 78 (b) 5 (c) -95 (d) -3\/2 (e) -3\/35 (f) -4 (g) 0.2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) be the first derivative of -m**4\/4 + 3*m**2\/2 + 2*m + 1. Let x be o(3). Let a = x - -26. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 9 and 5\/25 - (-4)\/30*51?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 5014 and 2?\nAnswer: 5014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round -157809750 to the nearest 100000.\nAnswer: -157800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = 5*b**3 + 2*b**2 - 3. Let w(o) = 10*o**3 + 3*o**2 - 5. Let j(x) = 5*f(x) - 3*w(x). What is the third derivative of j(i) wrt i?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 486*b**3 + 458*b**3 - 939*b**3.\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = 10*i + 215. Let l be c(-21). Suppose 18*p - 21*p = -4*s + 976000, l*s - 2*p = 1220000. What is s rounded to the nearest ten thousand?\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 121 - 26. Let j = q - 46. What is the greatest common factor of 196 and j?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y**(2\/9)\/y*y**(9\/8)\/y*y)\/(y**(-12))**(-23))**(-14\/5) assuming y is positive.\nAnswer: y**(138929\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) be the first derivative of -44\/3*r**3 - 12 - 14\/5*r**5 - 6*r - 13*r**2 - 9*r**4 - 1\/3*r**6. Factor m(p).\nAnswer: -2*(p + 1)**4*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -5 - -3. Is 14\/(-5)*(t - 3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-120*u + 439*u - 113*u)*(-8*u**4 + u**4 - 6*u**4).\nAnswer: -2678*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 31747, 31748, 31749?\n\"Answer: j + 31746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.4, 1, 0.3, 0.02, -1\/807 in ascending order.\nAnswer: -0.4, -1\/807, 0.02, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 = 4*s - 9*s. Let r be 56\/(-168) + 11*(-2)\/(-30). Let p = 5.3 + -5. Which is the closest to 0? (a) s (b) p (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) be the third derivative of -r**5\/30 - 3*r**4\/2 + 7*r**3 + 80*r**2 - 1. Let p be j(-17). Solve -88 + p = 3*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 33\/(-22) + (-5805)\/(-42). Let j = z + -137. What is the second smallest value in 7, j, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 32, 58, 108, 188, 304, 462?\nAnswer: 668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v**11\/v)\/v**(-1\/11))**(11\/4) assuming v is positive.\nAnswer: v**(111\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Does 37 divide 382210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -3791, -7910, -12029, -16148, -20267, -24386?\n\"Answer: -4119*m + 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -31 - (-24 - -21) - -50.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:01 AM and 10:11 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = -5*c. Let h(f) = -32*f**2 + 3*f + 6. Let y(p) = 1500*p**2 - 140*p - 280. Let a(v) = -280*h(v) - 6*y(v). Determine a(r(s)).\nAnswer: -1000*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 49*v + 8694 = 5*x + 8429, 2*x = -5*v - 17 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Do 1 and -7\/2945261 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) be the third derivative of 0*m**3 + 0*m**5 - 1\/105*m**7 - 1\/4*m**4 + 0*m + 0 + 0*m**6 + 6*m**2. Find the second derivative of l(q) wrt q.\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -61 + 58 + 28 - 51.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = 15*x**2 - 2*x + 3. Calculate the remainder when g(2) is divided by 10\/(-12) - (-231)\/18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = 2*q**3 - 6*q**2 + q - 1. Let r be m(3). Suppose 33 = -r*x + 3*x + g, g = -5*x + 177. Suppose -13 + x = z. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -154, 2 in increasing order.\nAnswer: -154, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h = -127.8 + 190.9. Let u = 63 - h. Which is the third biggest value? (a) 2\/23 (b) 3 (c) 0.3 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose u - 15 - 17 = 0. Suppose -14*d = -u - 10. Which is the closest to 0? (a) d (b) 0.4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0.5, -1\/3, 892, -2\/7, 6, 2 in descending order.\nAnswer: 892, 6, 2, 0.5, -2\/7, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put together -800561 and 0.15.\nAnswer: -800560.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 158 is divided by (2\/(-2) + 13)\/((-58)\/(-116)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = -5*p**2 + 70*p - 80. Let m = -522 - -517. Let u(f) = 5*f**2 - 72*f + 79. Let k(a) = m*u(a) - 4*b(a). Determine j, given that k(j) = 0.\nAnswer: 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 8? (a) -0.1 (b) 3\/4 (c) 4 (d) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) be the second derivative of q**5\/20 + 5*q**4\/12 - 4*q**3\/3 - 9*q**2\/2 + 2*q + 10. What is t(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.47 - 108.53. Let j = 109.106 + d. Round j to two decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:32 PM and 1:58 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-164)\/38 + 9\/((-27)\/(-12)). Is -1 bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 1 + -3536?\nAnswer: -3535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from pyp. Give prob of picking 2 p.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 85010929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = 5*f**2 + 136*f + 25. Let m be l(-27). Put 274, m, -5, -3 in descending order.\nAnswer: 274, m, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -847 + 614. Let v = w + 344. Is v a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 242 and 13260.\nAnswer: 1604460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = -47 + 18 + 10 + 5*j + 13*j. Is q(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 370087 and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.07 in -2, 0.1, 12, -0.3, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 1222689 to the power of 1\/2, to the nearest integer?\nAnswer: 1106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*(0 + sqrt(80) + -4 + -2*sqrt(80)*-6 + sqrt(80) - ((-6*(-1 + sqrt(80)) - sqrt(80)) + 2)) + -1)**2.\nAnswer: -7728*sqrt(5) + 141649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = h**3 - 8*h**2 + h - 2. What are the prime factors of d(8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -91*t + 30 = -183 - 697 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 2\/43 (b) 0.5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = 25*m - 146. Let s be n(6). Solve s*w = -8, 0 = -2*h + 5*w + 6 + 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -17.906 - -17.7. Round t to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 0.1, 24, -2\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -248.9 rounded to the nearest ten?\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -245, -552, -911, -1316, -1761?\n\"Answer: d**3 - 32*d**2 - 218*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from rxxrsrrxrxp. Give prob of picking 1 r, 1 p, and 2 x.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 72 divide -4 - ((-44)\/(-16) + -2)\/(1\/(-332))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 388 minutes before 4:04 AM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: (-65 - -76) + (-20 - -5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w = 2*r - 34 - 3, 4*r + 43 = w. Suppose w = 2*d - 55. Calculate the remainder when d is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 23\/90120 and -6\/11?\nAnswer: 991320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 7209786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -3634, -7255, -10876, -14497, -18118?\n\"Answer: -3621*s - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve y = t - 2*t - 2, 4*t = -3*y - 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Determine h, given that 2*h**4\/3 + 33860*h**3\/3 + 12258376*h**2 + 13720013756*h\/3 + 1719539913254\/3 = 0.\nAnswer: -15793, -379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1390498?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.046 - 0.054. Which is the nearest to -1\/2? (a) -14 (b) g (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f + 312 = 3*d, 4*d = -f - 22 - 37. Let g = f + 130. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -1, 3\/4, 7 in decreasing order.\nAnswer: 7, 4, 3\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*h - 46*h + 172 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -633*b**4 + b**3 - 11*b**2 + 127701*b wrt b.\nAnswer: -7596*b**2 + 6*b - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 212917 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: (1 + -2)*(-24)\/(-468)*(25049\/(-1702) + 15)\nAnswer: -1\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 20809 + -9534. Is 275 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 57 + -8. Let l = -47 + f. Calculate the remainder when l is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 16195 and 35.\nAnswer: 113365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 85463 - 13*s**2 - 85463 - 125*s**3 - 8*s wrt s?\nAnswer: -750","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -i**2*k**2 + 2*i**2 - 843*i*k**2 - 2*i*k + k**3 - 732 wrt k.\nAnswer: -2*i**2 - 1686*i + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 2\/11, 6.584, 129?\nAnswer: 6.584","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 14 minutes before 6:14 PM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = 1796*a - 12. Let y(o) = 51*o**2. Give u(y(g)).\nAnswer: 91596*g**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put -10, 4, -5, 8 in decreasing order.\nAnswer: 8, 4, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 12621842, 12621850, 12621858?\n\"Answer: 8*q + 12621834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = v**2 - 18354*v. Let l(w) = -w - 22619. Give l(x(p)).\nAnswer: -p**2 + 18354*p - 22619","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1*12\/(-20)*-5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 64147 to the nearest 100.\nAnswer: 64100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert 111001 (base 2) to base 6.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -25\/4072 and 22\/2143399.\nAnswer: 17147192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = -g**2 - 8*g - 8. Let a be d(-6). Suppose 5*n + 85 = a*z, 0 = 4*n + 7 - 3. Is z a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 4092 and 8556?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 10504?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 12.581196951 rounded to four dps?\nAnswer: 12.5812","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of j**3*o**3 - 2582*j**3*o**2 + 11*j**3 + 715*j*o**5 + 2 wrt o.\nAnswer: 6*j**3 + 42900*j*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 76*v - 11706 + 11706 - 240*v + 72*v + 72*v.\nAnswer: -20*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 293307 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Work out -20 * 260938.\nAnswer: -5218760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1 or 26\/26843?\nAnswer: 26\/26843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = -v**2 - 28*v + 134. Calculate i(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = -6*n. Let q = 41 - 4. Let y(x) = -42 - q - 4*x + 79. Calculate t(y(w)).\nAnswer: 24*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = -31*l + 230. Let u be o(6). Suppose 42*t = u*t - 1308. Does 11 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3126.533l in millilitres?\nAnswer: 3126533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let 4*m**2\/3 - 2785168*m\/3 - 1856784 = 0. What is m?\nAnswer: -2, 696294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 40376.8712 rounded to the nearest 100?\nAnswer: 40400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y = 6353\/246 + -109\/41. Calculate the common denominator of y and -41\/336.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.05, 19, -5\/4, -1, -10.\nAnswer: -10, -5\/4, -1, 0.05, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 204669?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is ((-3)\/(-10))\/(27\/10*1104\/(-8280))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/2 at most as big as -4.97207385?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put 7, 9, -2, -6, 4, 33 in descending order.\nAnswer: 33, 9, 7, 4, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -13826 divided by 62?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is next in -67440, -269742, -606912, -1078950, -1685856, -2427630, -3304272?\nAnswer: -4315782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 46202066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*g**4 + 3952*g**3 + 1302840*g**2 + 143744048*g + 142445156.\nAnswer: 4*(g + 1)*(g + 329)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Work out 180 * 2990912.\nAnswer: 538364160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = 3*x - 1. Let l(y) = 8*y - 3. Let g(j) = -j**3 - 3*j**2 + 11*j + 29. Let u be g(-4). Let m(b) = u*l(b) - 3*p(b). Let f(w) = 366*w**2. What is f(m(k))?\nAnswer: 366*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 5 (b) -3 (c) 6.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k = -256 + 251.86. Let f = k - -4. Let m = 0.04 + f. What is the closest to 1 in m, 0.2, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -2113, -2113, -2111, -2107, -2101?\n\"Answer: k**2 - 3*k - 2111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand -78*i + 52*i + 157*i + (i + 2*i - 2*i)*(4 - 4 - 1).\nAnswer: 130*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = -j**3 + 8*j**2 - 35*j + 566. Give k(10).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = -g**3 + 15*g**2 - 16*g + 25. Let o be j(14). Sort 22, -4, o, 0.\nAnswer: -4, o, 0, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4965, 80, 3, -5, -3 in decreasing order.\nAnswer: 80, 3, -3, -5, -4965","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y be (3 + -3)\/(-1) - -7. Suppose a = y*a. Suppose a = o + 5*o - 336. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(80) + (-2 + sqrt(80))*-4)**2 - sqrt(80))*-4 + 0 + (sqrt(80) - ((sqrt(80) - (-5*sqrt(80) - sqrt(80))) + 4)**2 - sqrt(80)) + sqrt(80).\nAnswer: -7072 + 564*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 2982 and 84?\nAnswer: 5964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -15*n - 53 = -8 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.249 + 228.249. Let o = 116 - q. Let c = o - -112.59. What is c rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -4, 4168898, 0, 3, -1 in descending order.\nAnswer: 4168898, 3, 1, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:09 PM and 3:59 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jb when two letters picked without replacement from laqbljaee.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -1b (base 12) to base 14\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 36 and 66174?\nAnswer: 2382264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r*(r*r\/r**(1\/33))\/r*r)\/r*r*r*r)\/(r**4\/r) assuming r is positive.\nAnswer: r**(65\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n = 10561 - 10559. Sort -3, n, 70, -0.3, -3\/5.\nAnswer: -3, -3\/5, -0.3, n, 70","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 53600\/35376*3\/(-5)?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 9.161 rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(252) - -4*(1*sqrt(252))**2) + sqrt(252) + 1 + sqrt(252) + -4 - (sqrt(42)\/(sqrt(42)\/sqrt(7)) + 1 + (sqrt(7)*-4)**2))*1.\nAnswer: 17*sqrt(7) + 892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (0 - -3) + (-5 - 0 - -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*x - 2*z = 9*z - 62, 28 = -5*x + 3*z - 8 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/2, -4.8, -1\/4, -0.51, 1 in decreasing order.\nAnswer: 1, 1\/2, -1\/4, -0.51, -4.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find v such that -5128\/5*v - 208\/5*v**3 - 4\/5*v**4 - 2868\/5*v**2 - 2464\/5 = 0.\nAnswer: -28, -22, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -142207649520 - -269.\nAnswer: -142207649251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i = -73 + 77. Suppose -3*t - i*q = -167, -3*t + 111 + 61 = -q. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*j + i = -j + 3, 0 = 4*j - 2*i for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*m = -6*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 45 + (-97 - (-61 + 64)).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.0454 - 0.0224. Let x = 0.277 + i. What is the nearest to 3\/4 in 5, x, -2\/15?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 1 - -1951682?\nAnswer: 1951683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(sqrt(192) + -3 + 1) + 1.\nAnswer: -48*sqrt(3) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.06 and -973.78.\nAnswer: 58.4268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 207474926?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 536141, 536164, 536195, 536240, 536305, 536396, 536519, 536680?\n\"Answer: u**3 - 2*u**2 + 22*u + 536120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) be the first derivative of -2*a**5\/45 + 2*a**3\/9 + 2*a**2\/9 + 809. Suppose x(c) = 0. What is c?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -53589, 1 in ascending order.\nAnswer: -53589, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c = -2*c + i - 2, 0 = 5*c + 5*i. Let u = 54.3907 + 3.6093. Which is greater: c or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.2? (a) -2\/7 (b) -3 (c) -272 (d) 0.2 (e) 560\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round 0.041743 to 3 decimal places.\nAnswer: 0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k = 5*j - 5 - 22, -k = 2*j - 9. Let v be 5*1*j\/(-3). Let r = 0.7414 - 1.1414. Which is the third biggest value? (a) v (b) -2 (c) 0.4 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from fufzzzzffzfu.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-3 + 1)*12\/(-24). Let t be 250\/(-14) + o\/(-7). Let u = t - -22. Calculate the highest common factor of 10 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r\/r**(-4\/7))**21)**(-1\/24) assuming r is positive.\nAnswer: r**(-11\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 14, 58, 186, 440, 862?\n\"Answer: 7*d**3 - 5*d + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -313441884689 - -0.21?\nAnswer: -313441884688.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 385 minutes before 6:26 PM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*v + 25 = -4*w, 0 = w - 2*w for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 j and 1 d when two letters picked without replacement from {c: 2, d: 1, l: 3, j: 4}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*d = 4*l + 80, -5*l - 4197 + 4337 = -5*d for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -0.1 (b) 7 (c) -247 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v - 5*f + 20 = 0, -1 = -5*v + 4*f + 55. Solve -v = -7*d + 13 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -67 - -67. Suppose 10*j - 5*j - m - 664 = l, 3*m - 516 = -4*j. Let t = -90 + j. Is 4 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 3.78, 10\/9, -0.5, 59\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + -1 + sqrt(76) + (sqrt(76)*1 - sqrt(76))*-4 + 5 + sqrt(76)*-2*2 + 2)**2.\nAnswer: -96*sqrt(19) + 748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 354861 to the nearest integer?\nAnswer: 596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2 + 3*b + 4*b - 4*b**2 + b + 7*b - 18*b to v + x*b + f*b**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: (4\/66)\/((16\/3)\/(-8))\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 191 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3\/((-27)\/(-45)) + (-118)\/24.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 154516697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = -6*h + 156. Let n be v(25). Let a(k) = -3*k**2 + 30*k - 33. Let l(u) = -9*u**2 + 90*u - 98. Let q(x) = n*l(x) - 17*a(x). Factor q(y).\nAnswer: -3*(y - 9)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-10)\/(-115)*1*-1. Let h = -20 - -19. Is h > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 3\/7, -2\/5, 2\/11, 0.5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = 7*d - 11. Let r be 36 + 1 - ((-6)\/2)\/(-1). Let m(j) = j - 5*j + r - 28. Let o(f) = 3*f**2 - 30*f + 3. Let y be o(10). What is y*a(u) + 5*m(u)?\nAnswer: u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/757595 in -30, 0.02, 1, 0.5, 2\/3?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 547?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = -57*j + 69 + 55*j - 69. Let g(i) = 4*i**2 - 2*i - 3. Let t(f) = -16*f**2 + 9*f + 13. Let x(y) = -26*g(y) - 6*t(y). What is b(x(c))?\nAnswer: 16*c**2 + 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: (-45)\/(-20)*(-368)\/(-207)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*h = -8056*t + 8053*t, -3*h - 34 = -5*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-173)\/(30275\/(-450)))\/(2\/21).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t + 0*n = 5*n + 10, t - 5*n = 10. Let x = 16 - 7. Let q(d) = 2*d - 22. Let k be q(x). What is the smallest value in 1.4, t, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 33 divide 2079?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = -o - 6. Let c be p(-1). Let k be (1 + -8)\/(c\/(15 - 5)). Is 15 at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -116, -115, -118, -131, -160, -211?\nAnswer: -290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = -t. Let a(j) = -5*j. Calculate -2*a(p) - 6*k(p).\nAnswer: 16*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*v**4\/5 + 16*v**3 + 68*v**2\/5 - 152*v\/5.\nAnswer: 4*v*(v - 1)*(v + 2)*(v + 19)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w = 283500 - -1009500. Round w to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 12 minutes after 3:48 AM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate -21*56\/(-6272)*16.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express 2*c**2 - 1 + 6 + 1 - 5 as i*c**2 + d + q*c and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 7\/240 and 101\/432.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1785.57 - -1780. Sort -0.3, -2, n in decreasing order.\nAnswer: -0.3, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 3 - -22. Suppose -2*u - 2*r + 15 = u, -5*r - m = -5*u. Let z(c) = c**2 + 16*c + 49. Let a be z(-12). Solve -a = -4*n - u for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 30*a = 1149 - 819 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -2637047831, -2637047830, -2637047829, -2637047828?\n\"Answer: d - 2637047832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3? (a) 4 (b) 1\/3 (c) -3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-790 - -806) + (-7 - -16 - (1 + -7)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 156\/(-52) - (2 + -2228*1) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 18 - 13. Suppose 2*a = -2*q - a + 21, 0 = t*a - 15. Is 2 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*k**2 - 26*k - 11 + 18*k - 1 - 13.\nAnswer: 2*k**2 - 8*k - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -0.25393692544601 less than 0.4?\nAnswer: 0.65393692544601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 249161.443 rounded to the nearest one hundred?\nAnswer: 249200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 10161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b**(-1)\/b)**(12\/7)*(b**(2\/5))**(7\/6))**(-6\/7) assuming b is positive.\nAnswer: b**(622\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 0.05, 3, 0.03, 2\/19, -4\/3?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -151868, -151219, -150570?\nAnswer: -149921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = -139 + 150. Let j(u) = -u**3 + 12*u**2 - 9*u - 13. Determine j(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7\/((-490)\/(-124)) + (-42)\/35.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = -q**3 - 2*q**2 + 2*q + 1. Let r(z) be the first derivative of -z**4 - 3*z**3 + 9*z**2\/2 + 3*z - 1. Let k = -8900 - -8891. What is k*b(x) + 2*r(x)?\nAnswer: x**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 25*s - 54 - 18 = 7*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1059 + 1047. What is the third biggest value in j, 0.01, -0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 192916 by -804.\nAnswer: -48229\/201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*s - 5*s + 4*s)*(-3*s**3 - 2*s**3 + 4*s**3) + s**4 + 2*s - 2*s + 12212*s - 540*s**4 - 12212*s.\nAnswer: -541*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 439955.\nAnswer: 5, 87991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 46157 less than or equal to 46359?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -156723, -2, -2\/3, -0.2, 0.04?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-42)\/(-7) + -7)\/1. Put l, -2, -19 in descending order.\nAnswer: l, -2, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k**2*k)\/k*k\/(k\/k**(-12))*k*k*k**(-11\/4)*k\/k**(-2\/33))**(15\/2) assuming k is positive.\nAnswer: k**(-6395\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y = -56 + 57. Let c be (-6)\/4*4*y\/(-2). What is the common denominator of (-3)\/(-14)*61\/c and 69\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 327 - 354 - 198\/(-8).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (6\/2)\/(-3 + 2). Let r be a\/(-12) - 86\/(-8). Suppose -2*q = 2*j - 10, 2*j - 5*q - 27 - r = 0. What is the remainder when j is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:27 AM and 5:22 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in 5, 32, 61, 92, 125, 160, 197?\nAnswer: 236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 4092, 16363, 36816, 65451, 102268?\nAnswer: 147267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) be the second derivative of -85\/2*s**2 + 42*s + 0 - 2885\/6*s**3. Let i be u(19). Round i to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6 + 6 + -2 + -4 + -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(4 + ((-5 + sqrt(22)\/((sqrt(11)*-4 - sqrt(11)) + sqrt(11)) + (sqrt(72) + -2)*-5)*6)**2).\nAnswer: -21780*sqrt(2) + 133577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = -2*c**2 + 8*c - 1. Let v(p) = p**2 - 2*p - 6. Let j be v(0). Let d(b) = 2*b**2 - 7*b + 1. Calculate j*k(m) - 7*d(m).\nAnswer: -2*m**2 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = 3*l**2 + 182*l - 4251. Let s be j(95). Calculate the greatest common divisor of 62 and s.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 59\/464318 and -83\/46?\nAnswer: 10679314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: (-4)\/(25*(-14)\/(-35))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -3\/32, 68, 5, -0.13.\nAnswer: -0.13, -3\/32, 5, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k = 50686359\/13286315 - -862\/19117. Let r = -2\/695 + k. Calculate the common denominator of 73\/3 and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 11\/70 and 67\/525?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -12763477, -25526956, -38290433, -51053908, -63817381, -76580852?\nAnswer: -89344321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 199643?\nAnswer: 181, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate -15 - (102 - (279 + -289 - (-1 - 4))) - -11.\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 2 and 6448?\nAnswer: 6448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -119 = 4*s - 11*s. Let b = -11 - -17. Calculate the remainder when s is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = -4*p**2 - 6*p + 7. Let f(v) = v**2 - 1. Let r(m) = -5*f(m) - k(m). Let l be r(8). Let g = 129 + l. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -10.0322009 and -1.\nAnswer: 10.0322009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many kilometers are there in 6.16359m?\nAnswer: 0.00616359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = -11588 - -11585. Let p(t) be the second derivative of -5*t**3\/6 + 5*t**2\/2 - 7*t. Calculate p(o).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 16 + -15.7. Let z = -10 + -2. Let j = 13 + z. Which is the nearest to j? (a) -1\/6 (b) g (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 121 divide 57475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = -2*v**3 + v - 1. Suppose 25*x + 183 = -192. Let t(f) = f**3 - 11*f**2 - 10*f + 6. Let c be t(7). Let h be x\/(-13) - (-40)\/c. What is a(h)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -37*f - 97116 + 97412 = 0 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -12001 - 11220011?\nAnswer: -12002012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = -33*o - 22. Let i be d(-4). What is the greatest common divisor of 10 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14102 less than 13461?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p = 727 - 727.1. What is the nearest to -0.3 in -1\/5, -0.3, p?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1511 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 2884, 3003, 3110, 3199, 3264, 3299, 3298?\n\"Answer: -m**3 + 126*m + 2759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 438500 and 500?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*z - 6 + 18 = 0. Suppose 2*f = 5*y - 11, 4*y = -y + 15. What is the second derivative of 2*t**z - 2*t - t**2 + 0*t**f wrt t?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = -d**2. Let t(z) = 4*z**2 - 11*z. Let v be ((-2)\/4)\/((-6)\/72). Let s(r) = -2*r**2 + 6*r. Let k(h) = v*t(h) + 11*s(h). Determine w(k(q)).\nAnswer: -4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u - 4*y = 7, -4*u + 0*y - y = -32. What is the second derivative of 2*g + g - u*g - g + g**5 wrt g?\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 273769083 to the nearest integer?\nAnswer: 649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 19 or -99?\nAnswer: -99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.2143 + 0.3543. Which is greater: y or 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -16871 + 19645. What is the highest common factor of r and 646?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 4, w: 1, f: 9, e: 1}. What is prob of sequence wwz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 20647.\nAnswer: 11, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u**(-2\/3)\/(u*u**2))\/(u**(-1\/5)*(u**6*u)\/u))\/((u**(-1))**11*(u**(-2\/5)\/u)**(9\/5)) assuming u is positive.\nAnswer: u**(304\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from jjybjyjyjjbj. What is prob of picking 1 j and 2 y?\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m = -28 + 31. Suppose m = 2*r - 3. Suppose 12 = r*y - 5*y. Which is greater: -20\/3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 328.3414 rounded to 0 decimal places?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 - 16 = -4*i. Suppose -4*o = 4 - 0. Let n be 3 + (i - o)\/(-2). Calculate the greatest common divisor of 2 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5594 is divided by 127.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-3102)\/(-235))\/(-6) - (-77)\/22.\nAnswer: 13\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 8 - 4. Let f = 13 - 16. Which is the closest to 2\/3? (a) x (b) -4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 1*(2 - -3) + -2. Suppose -5*c = g - 87, 225 = y*g - 3*c - 90. Is 3 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} {"text":"Question: Which is greater: -10 or -19?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 793927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = -m**3 + 14*m**2 - 14*m + 17. Let k be p(13). Suppose k*b - 7 = 57. Is b a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-9 - (4 - 1)) + -1. Is k > -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.28 + -0.68. Suppose -3*l = -3*s - 102, 0 = -4*s + 2*l - 0*l - 144. Let y = s + 33. Put o, -3, y, 0.5 in descending order.\nAnswer: 0.5, o, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -103*v + 105*v + 11*l + 18 = 0, 5*l = 2*v - 14 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 0 - 10 + 1311*g**3 - 19 - 1346*g**3 wrt g.\nAnswer: -105*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*o + 16*o = 16. Let a(i) = 6*i + 0*i + 11 + 7*i. Let r(h) = -6*h - 5. What is o*a(y) + 9*r(y)?\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.03 from -180390507.\nAnswer: -180390506.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t - 61 = 15. Suppose 11*z + 92 = 15*z. Let a = t + z. What are the prime factors of a?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k - 970 = -3*k. Suppose -5*b + o = -745, -4*b + 5*o + 111 = -k. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 0 (b) 5 (c) 1680.1 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.29 + -0.2. Which is the closest to 2? (a) n (b) 0.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 107 - 106. Let f(b) = -13*b**3 - b**2 - b + 1. Give f(d).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3382588.033057 + -5.\nAnswer: 3382583.033057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -1\/29682 and -11\/36?\nAnswer: 59364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = o**3 - o**2 - o. Let m(d) = -d**3 + 22*d - 5*d**3 + 4*d**2 - 17*d. Determine 4*b(y) + m(y).\nAnswer: -2*y**3 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort 8, 1\/7, -4036, -0.05, 4, -5 in descending order.\nAnswer: 8, 4, 1\/7, -0.05, -5, -4036","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -12 = 1227*p - 1230*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xxl when three letters picked without replacement from {l: 5, x: 15}.\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 1195.624 weeks in nanoseconds?\nAnswer: 723113395200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 5, j: 11}. What is prob of picking 2 j?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*j**3 - 25304*j**2 + 253404*j - 228096 = 0 for j.\nAnswer: -6336, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = h**3 - 3*h**2 + 9*h - 9. Suppose -1 - 4 = -o. What is the least common multiple of 2 and u(o)?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 - ((0 - -4) + -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1090 is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = -28958*o + 8. Let d(f) = -9655*f + 3. Determine 8*d(g) - 3*s(g).\nAnswer: 9634*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -917, -6670, -22299, -52748, -102961, -177882, -282455?\nAnswer: -421624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*d = 2*d - t - 7, 3*t - 29 = -4*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -557 = -94*o + 33*o - 8 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*v + 10*z = 6*z + 11, 5 = -5*v + 5*z for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 830519 and 436567?\nAnswer: 947","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(180) + 0 - sqrt(125)*-1.\nAnswer: 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -38079*g**3 - 153*g**2 - 295 wrt g?\nAnswer: -228474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express -1236*t**2 + 8 + 564*t**2 - 915*t**2 + 84*t**2 in the form r + h*t + p*t**2 and give p.\nAnswer: -1503","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is -18\/115 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -73 - ((-226464)\/2940 + 4).\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = -6*s. Let z(u) be the second derivative of 0 + 43*u + 5\/6*u**3 + 0*u**2. Give l(z(o)).\nAnswer: -30*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 121559528 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2452297489.\nAnswer: 8423, 291143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -881850*f + 881852*f = -z - 5, 7 = -4*z + 5*f for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 12638125*2\nAnswer: 25276250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 774679007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -1308137*l**3*w + l**3 + 260503*l**2 wrt w.\nAnswer: -1308137*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9592081?\nAnswer: 23, 103, 4049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u = -2172 + 2175. Solve 0 = -5*m - x - 6, 4*x + 5 = -4*m + u*x for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 13 and 0.091?\nAnswer: 1.183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 45034 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = -x**3 + 48*x**2 + 26*x - 3397. Calculate c(47).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = -z - 3. Let q be x(-4). Let t be q*26\/4*-2. Let d(i) = i - 5. Let l(o) = -1. Let f(m) = -2*d(m) + 6*l(m). Let p(w) = -w + 2. What is t*p(h) + 6*f(h)?\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1\/3)\/((-4)\/(-24)*-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m - 4 = 29. Suppose 3*f = -m - 4. List the prime factors of 146\/10 - 2\/f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = -4*m. Suppose -241 = -4*n - 3*k, -2*n + k + 118 = 3*k. Let t = -138 + n. Let i = -76 - t. What is d(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = -18*f**2 + f - 2 - 8*f**2 - 9*f**2 + 50*f**2 - 12*f**2. Suppose -2*r + 0 + 4 = 0. Determine t(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = h**3 + 3*h**2 - 12*h - 7. Let b be w(-5). Suppose 0*f = b*f - 4101. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 29\/868 or -1?\nAnswer: 29\/868","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is (58 - (-7605)\/(-130))*2\/14?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 3593927?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = 2*l**2 - l. Let a be x(2). Suppose -5*p + 2*p + a = 0. What is the second derivative of 3*v - v**5 - 5*v**p + 5*v**2 + 2*v**5 wrt v?\nAnswer: 20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 3, x: 1, l: 5, o: 1, f: 1}. Give prob of sequence ol.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = r + 6. Let c(g) = -5*g - 11. Let w(y) = 6*y + 11. Let o(n) = -3*c(n) - 2*w(n). Let s(h) = 7*l(h) - 3*o(h). Calculate s(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in one eighteenth of a day?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 3 and 408417?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0.19, -27\/7, -0.1?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = -r + 5. Let s be n(3). Let p be 356\/20 - (-4)\/(-5). Let x = p + s. List the prime factors of x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {y: 9}. Give prob of picking 3 y.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x**3\/5 + 281*x**2\/5 + 14539*x\/5 + 210459\/5 = 0. What is x?\nAnswer: -219, -31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -170949, -170948, -170947, -170946?\nAnswer: -170945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = -7*c**3 - 4 - c**2 + 1047*c + 8 - 1088*c - 11*c**3 + 5. Is r(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 185 a factor of 31045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:54 AM and 12:06 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 480984 and 9016?\nAnswer: 11062632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = -2*j**2 - 6*j - 10. Let s be c(-5). Let i = s - -28. Let o(x) = 2*x**3 + x**2 - 4*x - 3. Give o(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (17*(-35)\/1785)\/(8\/1632).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) be the third derivative of 0 + 1\/6*t**3 + 0*t - 1\/24*t**4 - 50*t**2. What is q(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-190)\/(-5415) - 257176\/(-3477).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put 3833, 1\/2, -2, 12.8 in decreasing order.\nAnswer: 3833, 12.8, 1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = 21*q - 14. Let p(l) = 3*l**2 - 2*l. Calculate the remainder when n(2) is divided by p(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 65.7 (b) -1 (c) 2\/3 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-270 - 2*v + 8*v**2 + 270)*(-16*v - 39*v + 15*v).\nAnswer: -320*v**3 + 80*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = -1512*x - 41. Let l(b) = b - 21. Calculate -2*l(w) + m(w).\nAnswer: -1514*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: (18\/(288\/(-10)))\/((-3)\/24)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = 14 + -46. Let l = 37 + v. Solve -2*b - 27 = -5*r, 0 = -2*b + l*r - 3*r - 12 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 4*(10\/(-8) + 2). Suppose d*s = 6*s - 12. What is the units digit of (0 + 1)*(s - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.4287194ml to litres.\nAnswer: 0.0004287194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -3, -1\/14, -0.5041?\nAnswer: -0.5041","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(75) - (5 + (sqrt(75) - sqrt(75)*3)))*-5*-1 + 3)**2.\nAnswer: -3300*sqrt(3) + 17359","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 4 + 1 = -k, -5*d - 3*k - 21 - 13 = 6 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + sqrt(2))*-5 + (sqrt(2) + -3 + -4)**2.\nAnswer: -19*sqrt(2) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -131.51 rounded to the nearest integer?\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.4, 9\/11, 0, 1 in ascending order.\nAnswer: -0.4, 0, 9\/11, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 4096, 4034, 3970, 3904, 3836?\n\"Answer: -f**2 - 59*f + 4156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-2 + 1)\/(2\/(-18)). Let u be (-23 - -22)\/(2*1\/(-716)). Suppose -u = -s*g + 65. What is g rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = -t**3 - 7*t**2 + 9*t + 8. Give z(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 9 - (-7 - (-11 + -13)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/4? (a) -4 (b) 91\/18 (c) -0.4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Are -1 and -27970 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does 15 divide 961359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 349928618 to the nearest integer?\nAnswer: 705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*z - 31090 + 5830 = 0. Is (7\/(-5))\/((-10524)\/z + -5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*v + 2*v - 20. Calculate the common denominator of 46\/v + 2\/(-4) and 27*15\/100*-2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 863*w + 569*w - 78760 for w.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-10)\/15*-57 + (-1 - -5). Calculate the greatest common divisor of 12 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3*f**2 + f**2 + 0*f**2)*(2*f**2 + 0*f**2 + 0*f**2) + 354*f**3 - 67*f**4 - 354*f**3 to i*f**4 + u + d*f**3 + b*f**2 + p*f and give i.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Subtract -66 from -1121928.\nAnswer: -1121862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-91)\/(-14) - 6\/4. Solve -j*c - 3*v = 12, c = -0*c - 3*v for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {o: 1, r: 1, z: 9, m: 5}. What is prob of picking 3 z and 1 r?\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 606 >= 588?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = p**2 - 19*p - 2. What is l(17)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 13 (base 5) to base 9\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = 74321.966 + -74422. Let m = 107.1 + -207.1. Let b = n - m. What is b rounded to 3 dps?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (0 - 20\/(-6))\/(5\/(-15)). What is the common denominator of 43\/20 and ((-2)\/r)\/((-2)\/104)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) be the first derivative of -1\/3*a**6 - 2\/9*a**3 + 0*a + 0*a**2 + 2\/3*a**5 + 7 - 1\/6*a**4. Factor y(q).\nAnswer: -2*q**2*(q - 1)**2*(3*q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -257\/3 smaller than -278640?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 503885*x - 8 = 503883*x, 0 = -5*v + x - 74 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express (-291*b - 59 + 575*b - 281*b + (2 + 3 - 4)*(b + 0*b - 3*b))*(b**2 - b**2 - 2*b**2) in the form f*b + n*b**3 + k + a*b**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 13\/8 of a meter in millimeters?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 4\/39767725 and -39\/83120?\nAnswer: 636283600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 o and 1 g when two letters picked without replacement from {g: 1, o: 1, y: 1, d: 1, e: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put 43, -3, 46, 58, 5 in decreasing order.\nAnswer: 58, 46, 43, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 52054794 to the power of 1\/3, to the nearest integer?\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 22a4 + -14?\nAnswer: 2290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 1\/33, -0.3, 2\/7, -39?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 978.7156cm in micrometers?\nAnswer: 9787156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 2 - 2395c3?\nAnswer: -2395c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = y**2 - 16. What are the prime factors of x(11)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 158700*y**3 + 101654940*y**2 + 55653507*y + 7620480.\nAnswer: 3*(y + 640)*(230*y + 63)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = -18*k. Let d(t) be the second derivative of 1\/6*t**3 - 8*t + 1 + 0*t**2. Determine v(d(o)).\nAnswer: -18*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-26)\/273)\/((-759)\/231).\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 306 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -8*r**2 + 0*r + 50*r**4 - 2*r**3 - 1 - 2*r - 21*r**4 - 14*r**4 - 14*r**4 to the form p*r**4 + v*r**3 + f*r**2 + w*r + i and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = h - 4*l - 18, 5*h - 2*l - 18 = -0*l. Suppose 0 = -h*q - q + 9. Let d = -12 - -17. Which is the third biggest value? (a) q (b) d (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -4303372, -8606747, -12910122, -17213497, -21516872, -25820247?\nAnswer: -30123622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: ((-27)\/12*(-32)\/(-60))\/((-10)\/5)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 45260, 181081, 407450, 724367, 1131832?\nAnswer: 1629845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose t**5 + 700*t**4\/9 + 401*t**3\/3 - 1004*t**2\/9 - 404*t\/3 + 304\/9 = 0. Calculate t.\nAnswer: -76, -2, -1, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 a and 1 q when two letters picked without replacement from qqqqqqaaqq?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = -d**3 + 2*d**2 - 10*d + 3. Let p(m) = 3*m**3 - 5*m**2 + 29*m - 8. Let z(g) = 17*l(g) + 6*p(g). Give z(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 781.7422kg to nanograms.\nAnswer: 781742200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-6)\/42 + (-6 - 114\/(-14)). Solve 2 + 78*d**3 - 654*d**3 - 20*d**5 - 184*d**4 - 2 - 648*d**r + 377*d - 485*d = 0.\nAnswer: -3, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 426 times 0.11?\nAnswer: 46.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1 - 3 + 1)*(2*s**2 + s**2 - 4*s**2) + (-5172 + 5172 + 520*s)*(2*s - 3*s - s) to k*s**2 + q*s + n and give k.\nAnswer: -1039","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is next in -55, -282, -669, -1222, -1947, -2850?\nAnswer: -3937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 46 + 24 = -5*l. Let d = l - -29. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4*51962796.\nAnswer: -207851184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) be the first derivative of -2\/21*b**3 + 1\/14*b**4 + 2\/7*b - 32 - 1\/7*b**2. Factor j(v).\nAnswer: 2*(v - 1)**2*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (38 + 411 + 220 + 376)*(-t + t + 3*t)*(6*t - 2*t - 2*t)*(0*t + 0*t + 3*t) as c + b*t**3 + a*t**2 + k*t and give b.\nAnswer: 18810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 19*b**2 + 13*b - 5*b**3 + 183*b**2 - 2*b.\nAnswer: -5*b**3 + 202*b**2 + 11*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = 40*t**3 + 6*t**2 - 57*t - 8. Let n(m) = 87*m**3 + 14*m**2 - 113*m - 17. Calculate -6*n(g) + 13*x(g).\nAnswer: -2*g**3 - 6*g**2 - 63*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (86\/108)\/(8\/(-24)) and (7\/24)\/(9\/(-84)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = -8*d + 2. Let l(i) = -23*i + 9. Determine 6*l(t) - 17*m(t).\nAnswer: -2*t + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand -p**4 - 4*p**4 - 3*p**4 + (2*p**4 - 2*p**4 - p**4)*(-4 + 0 + 2).\nAnswer: -6*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -123332 - -132?\nAnswer: -123200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is -1 smaller than -2385?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*-5*(sqrt(175) - sqrt(175)*3))**2.\nAnswer: 437500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 211625 - 211625 - 138*w to the form p + g*w and give g.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = -f + 2. Suppose 4*s + 2*l - 88 = 0, 107 = 5*s - l + 4. Suppose -11 = 5*b - s. What is j(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many kilometers are there in 968194.8 meters?\nAnswer: 968.1948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 36724.\nAnswer: 2, 9181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 38208 less than 5?\nAnswer: -38203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -3 - -9d22?\nAnswer: 9d1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 4 - 4*h)*(19*h - 69*h - 150*h).\nAnswer: 800*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -32*a + 174*a - 10764 = 16*a - 81*a for a.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 450 minutes before 2:36 AM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} {"text":"Question: What is 13 - (-106 - (-105 - -48))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -21 + (-10 - (4 + 12 + 0 + -10)) + 12?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 29349121 and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = -w**3 + 26. What is the remainder when g(0) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*k - i - 15, -3*k - 5*i + 19 = 26 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = p**2 - 3*p + 15. Give t(6).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -998, -3951, -8856, -15713, -24522, -35283, -47996?\n\"Answer: -976*a**2 - 25*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = -38*p - 57. Let m be h(-2). Let j(d) = -d**2 - 5*d + 2. Let b be j(-5). Suppose o = -b*n + 463, -4*n + m = -1. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((m\/(m*m\/(m\/(m\/((m\/m**(1\/8))\/m)))))\/(m\/m**(1\/3)))\/((m**14\/m)\/m**(-7)))**(-48) assuming m is positive.\nAnswer: m**1046","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 150 and 60050?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = a**2 + 19*a + 77. Give t(-11).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) be the third derivative of 0*a**5 + 2*a**2 - 1\/24*a**4 - 13\/20*a**6 - 20*a**3 + 75 + 0*a. What is the derivative of g(b) wrt b?\nAnswer: -234*b**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (1476\/(-16) - 1)*(0 + 4). Let q = 376 + r. Solve -9*k + 12 = -q*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: (-344484)\/(-4684709) - 4\/(-298)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = 14*y**2. Let g(a) = -2469*a + 2. Calculate w(g(u)).\nAnswer: 85343454*u**2 - 138264*u + 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = z**2 + 3*z - 7. Let j be a(-5). Suppose 0*k - 60 = -j*k. Is 8 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00000049560076 to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8 + -5 + 6 + -16 + 2 - -16?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 7678180?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) be the second derivative of -j**3\/2 + 15*j. Let c(q) = 5*q. What is c(d(a))?\nAnswer: -15*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) be the third derivative of -1\/60*b**5 + 0 + 1\/2*b**3 + b**2 + 0*b - 1\/24*b**4. Suppose 0 = 8*g - 3*g. What is m(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -409142, -1636751, -3682762, -6547175, -10229990, -14731207, -20050826?\nAnswer: -26188847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 126334279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 17 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = l**3 - 29*l**2 - 50*l - 4. Let a be u(30). Let f = a - -401. What is the tens digit of f*(-3)\/6*2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1589 + a**3 - 139*a - 1589 - 24*a**2.\nAnswer: a**3 - 24*a**2 - 139*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) be the third derivative of f**3 + 0*f + 0 - 7\/12*f**4 - 30*f**2. Let u be a(-1). Calculate the highest common divisor of u and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2441 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -30.71 - 2.5\nAnswer: -33.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.06*-4.512.\nAnswer: -0.27072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 916, -2297, 2 in increasing order.\nAnswer: -2297, 2, 916","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = 181*v + 6. Let j(b) = -3*b + 2. Let h be j(5). Let p = 7 + h. Let i be d(p). What is i rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-2 - 2)*6\/8. Let t = 0.31094 - 0.81094. What is the fourth biggest value in -0.3, -2\/9, t, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -3194 (base 10) to base 4\nAnswer: -301322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v - v = -45. Let n = 2 + v. Let i = n + 6. Is i a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) be the second derivative of a**4\/42 - 11*a**3\/7 + 1186*a. Suppose x(k) = 0. What is k?\nAnswer: 0, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 9\/(-6) + (-19)\/(-2). What is the greatest common divisor of 1 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -302.60088397 + 302.6. Round c to 5 decimal places.\nAnswer: -0.00088","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 7*w + 10*w**4 - 7*w**4 + 3*w**2 - 2*w**4 in the form z + v*w**3 + s*w + j*w**4 + a*w**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is (-4542615)\/(-43470)*(-6)\/19?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(-3)*y)**(14\/9)\/(y**(7\/8)\/y**(-4)) assuming y is positive.\nAnswer: y**(-575\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + -3*sqrt(19)*-1.\nAnswer: -4 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-1)\/(-60)*6)\/(5\/1150).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:53 AM and 10:16 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = 100*b**4 + 6*b**3 - 4172*b. Let g(w) = 200*w**4 + 12*w**3 - 8347*w. Let o(n) = 7*g(n) - 13*q(n). What is the second derivative of o(c) wrt c?\nAnswer: 1200*c**2 + 36*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -43b + 3a41?\nAnswer: 3602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort -13, -331, -3 in ascending order.\nAnswer: -331, -13, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 227*l**2*t**2 + t**2 + 285*t wrt l.\nAnswer: 454*l*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 16\/1449 and 53\/273.\nAnswer: 18837","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6757.\nAnswer: 29, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n = -81 + 88. What is the third derivative of 3*y**5 - 408 + 408 - 2*y**6 + 50*y**2 - n*y**5 wrt y?\nAnswer: -240*y**3 - 240*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = q**5 + 4*q**2 + q - 1. Let m(d) = -d**5 - 91*d**2 + 84*d + 22. Let n(i) = m(i) + 6*y(i). Find the second derivative of n(u) wrt u.\nAnswer: 100*u**3 - 134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from emmimkdiidd. Give prob of sequence eedk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 268 is divided by 50?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = 5*u - 60. Let p be (2\/(-3))\/(18\/(-324)). Let w be z(p). Solve 0 = -d - w*d + 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*a**3*s**3 + 2*a**3 - 4161*a**2*s**2 - 2*a**2*s - 3632*a*s**3 - 2*s**3 wrt s.\nAnswer: -12*a**3 - 21792*a - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor o**3\/5 + 9*o**2\/5 - 9*o\/5 - 81\/5.\nAnswer: (o - 3)*(o + 3)*(o + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = -3*j**2 - 317*j - 172. Determine i(-105).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -21c - -2338?\nAnswer: 211a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o = -3.3 - 0.7. Let f = -60 + 61. Which is the second smallest value? (a) o (b) 2\/23 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1947 in 0.06, 6, -0.3, -109?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose h - 2*h - 3*z = -40, h - 24 = z. Suppose -h = -x - 3*o, 0*o - 98 = -4*x + 2*o. Let w = 58 - x. Is w a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-1)\/(-2) - (-1)\/(8\/12). Suppose 2*u + 89714 = w*a - 1278412, -2*u = 6. Suppose -10 = -5*i, -4*p + 9315950 = 5*i - a. Round p to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -151 + 214 = -63*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 0 + 3)*(20 + 3 + 9)*(-5 + 5 - 7*w).\nAnswer: -448*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 636 is divided by 212?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Determine s so that -2*s**3 + 34*s**2 - 62*s + 30 = 0.\nAnswer: 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -3 * -223\nAnswer: 669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y\/(y*y\/(y\/y**2)))\/y)**(-1\/55)*((y\/(y**(-1\/5)*y))\/y)\/(y\/y**(-8))*y\/(y*y*y**(2\/15)\/y*y)*y**(-1\/3)*y**(-1\/3)*y*y*y*y\/y**8 assuming y is positive.\nAnswer: y**(-171\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 4834 and 846745193.\nAnswer: 2417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express -62*q - 15*q + 9*q - 10*q as b*q + y and give b.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = -53*r**2 + 26*r**3 + 21*r - 9*r + 14*r**2 - 51*r - 39. Let z(a) = a**3 - a**2 - a - 1. Give s(h) - 39*z(h).\nAnswer: -13*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a = -5181 - -2443. Let q = 1751 + a. Find the common denominator of 2\/11 and (-188)\/q*(0 - 36\/(-1)).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -399.63 + 372.7. Round x to the nearest integer.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -2\/11764073 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -66 - 49 + 164*b + 116.\nAnswer: 164*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 74a + 363?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o = 251 + -36. Suppose -o = -9*z + 28. Calculate the greatest common divisor of z and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-33)\/38*4\/12. Which is smaller: k or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -d + 13 = 3*k, -d + 0*k + k - 3 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 6\/11 (b) -11 (c) 565\/4 (d) 1 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of u**5*y + 1121*u**3*y**2 - 216*u*y**2 - y**2 wrt u?\nAnswer: 20*u**3*y + 6726*u*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 23 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand 3379*z**4 - 3154*z**4 + 1730*z**4 + (-z - 2 + 2)*(z - z - 2*z**3).\nAnswer: 1957*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(10)*-5)\/sqrt(5))**2 + 1.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r = 10.79 + -11. Let q = r - -0.252. What is q rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -30*v - 201*v - 115*v - 32*v + 10*v as d*v + p and give d.\nAnswer: -368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 6668173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 12560 to the power of 1\/2, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 2 (b) -4 (c) 594 (d) -1\/9 (e) -4\/7 (f) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -166141 - -3?\nAnswer: -166135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(((sqrt(100)\/sqrt(4))\/sqrt(5) - (sqrt(125) - (-1 + sqrt(125)))**2) + (sqrt(320) + (sqrt(320) + -1)*-3)**2).\nAnswer: -95*sqrt(5) + 1288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k = -3*d - 0*d + 18, -3*k = 4*d - 17. Let i be (6\/d - 4) + 1. Let g(w) = -3*w + 2*w + i*w. Let x(q) = -3*q**2. Calculate g(x(t)).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 4193711 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: Let h(s) be the third derivative of -7*s**5\/60 + 8*s**3\/3 - s**2. What is the first derivative of h(j) wrt j?\nAnswer: -14*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 615?\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11 - 354343*i + 9 - 56652*i + 2.\nAnswer: -410995*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 96067*u**3 + 57853*u**2 wrt u.\nAnswer: 576402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r = 142.3 + -142. Which is the biggest value? (a) r (b) 0 (c) 0.025 (d) -2 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 497? (a) -43\/5 (b) -1.3 (c) -3 (d) -4 (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w = -46 + 46. Let s = 7 - 5. Suppose 3*i + s*i - 32 = 3*k, 3*k + 28 = 4*i. Solve w = -i*a + 5 + 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*g + 0*g - 2*g + (g + 1 - 1)*(-2 + 6 - 2)*(25 - 8 + 26 + 0 + 0 + 1 + (2 - 4 + 4)*(0 - 1 + 3) + 1 + 3 - 2).\nAnswer: 101*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -193, -83, 99, 353?\n\"Answer: 36*t**2 + 2*t - 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-38)\/(-8) + 1)\/(2\/(-8)). Let u = 60 - m. What are the prime factors of u?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 295 minutes after 7:16 PM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 2*3 - (6 + (-4 - 0))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 9758 and 25466.\nAnswer: 1044106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = 455 + 453 - 904 - s. What is q(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*k - 17 + 3 + 11 - 20*k.\nAnswer: -25*k - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 707 or 4?\nAnswer: 707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -6 - -133204?\nAnswer: 133187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-1 - -1)\/2 - (-11 + 11). Suppose m = 3*h - r - 164, 5*r + 7 + 3 = 0. Let d = h - 55. Put 5, d, 4 in ascending order.\nAnswer: d, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -0.01 and -1461299.902361.\nAnswer: -1461299.912361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -4*w**3 + 65*w + 150 - 65*w + 2 wrt w.\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1.3 - -3.5. Let g = o - -0.2. Let i = -7 + 5. Sort i, -4, g in decreasing order.\nAnswer: g, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l - i - 99 = 0, i = -5*l - 3*i - 110. Let o = l - -26. Suppose 13*p - 14*p - 5 = o. Sort 1, 9, p, 0.\nAnswer: p, 0, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2345 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u = -11841\/64 - -185. Let q = u + -111\/1088. Let g = 0 + 4. Which is the closest to 1? (a) g (b) 0.4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -17641 + 123237\/7. Let s = q - -36. Which is the third smallest value? (a) -0.1 (b) s (c) -1 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 4952?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x = 5 - -12. Let j = 15 - x. What is the nearest to -0.1 in j, 1\/4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-5)\/((-1350)\/24)*5\/(-2)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = 9*j**2 - 1108*j + 33981. What is i(65)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express -684*q - 2281*q - 1604*q + 672*q - 825*q as y*q + z and give y.\nAnswer: -4722","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: What is -20610 (base 7) in base 12?\nAnswer: -2b53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 7, g: 4, x: 1, i: 8}. What is prob of sequence gi?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -103 - -1011204?\nAnswer: 1011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in -0.1, 3, 35.82, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3\/(-15))\/((-16)\/(-10)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = -40*k - 393. Determine c(-9).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 28574 and 6734.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r = -86 + 141. Is r a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 63357 and 42.\nAnswer: 126714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:31 PM and 12:05 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find m such that 92*m + 10*m**3 + 24 + 20 - 6*m**3 + 52*m**2 = 0.\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((1*(1*sqrt(5) - sqrt(5)) - (-1 + 2 + sqrt(5))) + 0 - -6*((sqrt(50) - sqrt(450))\/sqrt(10) + (sqrt(5) + -2)*3))*-1)**2.\nAnswer: -370*sqrt(5) + 1494","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o = -14321 - -14279. What is the fourth biggest value in 1, 2, 0.1, 0, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 251547 is divided by 41923?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -862021, -861967, -861881, -861763, -861613?\n\"Answer: 16*v**2 + 6*v - 862043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 12936 and 1080618?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 8 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1328 divided by 6.\nAnswer: 664\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + (1 - 9) + 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zzczcvkgvvazvzg. Give prob of sequence ggz.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = -3*b**3 - 10*b**2 + 7*b - 6. Let g(c) = 7*c**3 + 21*c**2 - 15*c + 13. What is -6*g(r) - 13*j(r)?\nAnswer: -3*r**3 + 4*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/4? (a) 1\/6 (b) 5\/2 (c) -4557\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18 = -6*x + 6. Let a = -5\/3 - x. Factor -2\/3 - 1\/3*t + a*t**2.\nAnswer: (t - 2)*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (((-918)\/(-150))\/(-9))\/((-1)\/5)?\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 2 a factor of 11828925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 586, 576, 552, 508, 438, 336, 196, 12?\n\"Answer: -z**3 - z**2 + 588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 0 (base 6) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*y - u + 14, 0*u + u + 6 = 2*y. Suppose -y*d = -0*d. Suppose -a + 1500 - 250 = d. Round a to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = j - 8. Let w be d(-7). Find the common denominator of 45\/7 and (-10)\/w + (-236)\/(-60).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = -5*d - 78. Give x(-12).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 563894553.\nAnswer: 3, 61, 3081391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -759 or -2?\nAnswer: -759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c be (1 + (-2)\/(-4))\/(126\/168). Solve -c*o = -0*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = 5*c, -c - 4*c = 4*q - 65. Let r(f) = 29*f - 35. What is the tens digit of r(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 111 and 185.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 318 minutes after 4:40 AM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 424 minutes after 9:41 PM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 4, i: 9, l: 1, b: 2}. Give prob of sequence il.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 31*d**2 - 12*d**2 - 20*d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 47 + 1 = -6*x. Is (-5 - x) + (-1506)\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) 0.2 (b) -3\/8 (c) 2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d - 62 + 17 = 0. Calculate the greatest common factor of 30 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -2a24696 (base 12) to base 4.\nAnswer: -200131203102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 134583.75 to the nearest 1000.\nAnswer: 135000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = -d**2 + 2*d + 11. Let k be y(5). Sort 11, k, -2 in ascending order.\nAnswer: k, -2, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) be the second derivative of -m**6\/55 - 17*m**5\/55 - 21*m**4\/22 + 4*m**3\/33 + 36*m**2\/11 + 57*m + 3. Let c(n) = 0. What is n?\nAnswer: -9, -2, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00027193906 rounded to 6 decimal places?\nAnswer: 0.000272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 = 5*t, 5*t - 9 = -0*k - 2*k. Put 54, k, 2 in decreasing order.\nAnswer: 54, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -9281, -14061, -18827, -23573, -28293?\n\"Answer: h**3 + h**2 - 4790*h - 4493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 f and 1 t when three letters picked without replacement from {t: 2, w: 1, g: 2, r: 3, n: 1, f: 3}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-6 + 0)*(-2)\/3. Let u be (l\/(-6))\/((-2)\/18). What is the first derivative of f - 7 + u - 2*f wrt f?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -18 divided by -18?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 1535 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*a**2\/5 - 30764*a\/5 + 859824\/5.\nAnswer: 2*(a - 15354)*(a - 28)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 36523 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/7, -3\/7, 6, 3579, -0.12 in increasing order.\nAnswer: -3\/7, -1\/7, -0.12, 6, 3579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 1, -9, -3.\nAnswer: -9, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2, -9, -26, -49, -78, -113?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is (0 - -11) + (40 - -8) + -43?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 22 divide 153270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*g**2\/13 + 70152*g\/13 - 615162888\/13.\nAnswer: -2*(g - 17538)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose c = -3*d - 9, 4*d = -8*c + 12*c + 20. Let g(j) = -4*j**2 + 8. Let u be (-32)\/40 + (-42)\/10. Let i(n) = 5*n**2 - 9. Give c*g(s) + u*i(s).\nAnswer: -s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f = 240.9268129 + 0.0745771. Let g = 115 - 356. Let b = f + g. Round b to four dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) be the second derivative of 7*q**4\/12 + q**3\/2 + q**2 + q. Suppose 5 = -6*y - 7. Does 12 divide o(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 4, 24613549.\nAnswer: 3, 4, 24613549","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor -n**3\/7 + 95990*n**2\/7 - 2304191808*n\/7 + 4605696288.\nAnswer: -(n - 47988)**2*(n - 14)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a = 140.15 - 124. Let n = 0.15 - a. Let s = n + 15.999918. Round s to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u + 28 = 2*u. Find the second derivative of u*k**2 - 5*k + 2*k - 8*k**2 wrt k.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -96293, -192589, -288885, -385181, -481477?\nAnswer: -577773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -4976 take away 1519?\nAnswer: -6495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -2\/11 (b) -0.075 (c) -0.3 (d) 0 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = -1 - f**3 + 35*f - 347*f**2 + 687*f**2 - 348*f**2. Let c be o(3). Solve 5*s + c*h - 10 = -0*h, -s + 3*h + 2 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -5 in -0.2, 0.4, -34?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-196)\/6 + (-4)\/(-6). Let c = -17 - d. Solve 0 = b - 4*b - c for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -6 - -3. Let q = b + 8. Let h(i) = -1286*i**2 + 640*i**2 + 4*i + 7*i + 1 - 5*i + 645*i**2. Determine h(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 517 minutes after 1:57 PM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u be (510\/(-40))\/((-3)\/((-24)\/(-2))). Suppose -u*m = -625 + 115. Calculate the remainder when 699 is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 52366122 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 492 is divided by 56.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u be 30\/(42\/(-12) + 5). Calculate the greatest common factor of 60 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -0.08 (b) 2 (c) 0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -5, -2, 4, -3 in decreasing order.\nAnswer: 4, 2, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 451*b**3 - 87*b**2 + 104*b**3 - 105*b**2 + 190*b**2 to d*b**2 + f*b**3 + u + k*b and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -18059093, -18059087, -18059081?\n\"Answer: 6*t - 18059099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = 7103*g + 5006. Calculate k(-1).\nAnswer: -2097","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -144*k**2 + 755*k + 765*k + 150*k**2 - 1520*k.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 802100189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l - 2*l - 3 = 4*j, -4*j - 13 = -5*l. Suppose -l*m + 94 = -2*p, -6 = 5*p - 21. Calculate the highest common divisor of 4 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (0 - (-1)\/(-9))*(-2)\/106. Let x = 350 + -349. Is t < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 18 and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t be -15 + 5\/(-15)*-12 + 13. Sort 1, 53, t, 6, -5.\nAnswer: -5, 1, t, 6, 53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 2290450 by 52.\nAnswer: 1145225\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = 122*a + 1. Let y be j(-6). Let f = -2171\/3 - y. Let p be (1 + (-4)\/6)\/((-9)\/(-162)). Which is greater: p or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence lnfp when four letters picked without replacement from nvpffvfvvlxvp?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s = 4*z - 68, -4*s + 31 = 4*z - 85. Let q be (-18)\/s - (-6)\/8. Suppose q = -14*a + 12*a + 76. What is the remainder when a is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 110 + -10001?\nAnswer: -1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0001416 rounded to five dps?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = 3*y**2. Let l be u(-1). Sort l, 13, -5.\nAnswer: -5, l, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -0.1, 2\/3, -38.7 in increasing order.\nAnswer: -38.7, -0.1, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 53231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: (52\/54 - 1 - 38090*(-74)\/39960)\/(-6)\nAnswer: -47\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 t, 1 z, and 2 h when four letters picked without replacement from ztzztzhh.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*m**2\/5 + 8*m\/5 - 234\/5.\nAnswer: 2*(m - 9)*(m + 13)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 50\/75*45\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 6 - -497?\nAnswer: 49d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -575459975 = 3*a - 6*a - 5*l, 0 = a + 5*l - 191819975. What is a rounded to the nearest 1000000?\nAnswer: 192000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 12210021310 (base 4) to base 16.\nAnswer: 1a4274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-13)\/26*(-8 + 2). Solve 0 = 4*s + u - 2*u - 7, c*u - 9 = 2*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose z = 2*d + 3, 19*z = 23*z - 2*d - 12. Solve 0 = -2*x - 2*f - z*f + 8, 0 = f for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = -4119996*f - 2. Let l(u) = 4119995*u + 2. Let p(b) = 2*l(b) + 3*z(b). Let d be p(1). What is d rounded to the nearest one hundred thousand?\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*s = 3*s + 1211. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: bb9d (base 14) to base 15\nAnswer: 9954","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand c - 5*c + 3 + 6*c + (4*c + 0*c - 6*c)*(266 + 75 - 89).\nAnswer: -502*c + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = 11902*b**2 + 38*b + 17. Is c(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 5 (b) -0.079 (c) 0.3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = -g - 8. Let i be c(-3). Let f = 33 - i. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*s - 1159 = -279. What is the least common multiple of 20 and s?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve h - 5*a - 28 = 0, -1 = -3*h - a + 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u = 49 - 52. Is u at most as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 202 - 46. Suppose -5*q + 41 + 77 = 4*d, -5*d - 2*q + k = 0. Let c = d + -22. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) be the first derivative of 10*i**3 + 5019. Let m(g) = -3*g + 23. What is m(w(v))?\nAnswer: -90*v**2 + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x = 10.2903 + -10.690299. Let i = -0.4 - x. What is i rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s - 9 = 3*x + 5*s, 12 = -4*s. Let n be ((-35)\/20)\/x + -2. Which is the closest to -1\/4? (a) -0.4 (b) n (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1199 - 1365.7. Let f = s - -167. What is the third biggest value in -2, f, 120?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:28 AM and 10:58 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 79*f + 10 = 84*f. Suppose -5*j + 43 = 2*n, -5*n - f*j = -4*j - 64. Let s = -6 - -8. Calculate the greatest common divisor of s and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -2164 and -2148 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 24*(-1*(-2)\/10)\/((-226)\/565)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 g and 1 o when four letters picked without replacement from gddgoydgod?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = -2*u**3 + 29*u**2 - 69*u + 179. Calculate r(12).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p = -3*l - 27, 5*p - 10*p = 3*l. Suppose 2*v = 3*h - 997, v + 4 = 2. Suppose -40 = p*t - h. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from nihhehnznzni. What is prob of picking 1 n and 2 h?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -702, -701, -700, -699?\n\"Answer: y - 703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = 3461621\/3150 + -9889\/9. Find the common denominator of 14\/15 and i.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 34438958?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3 + -6 + (-7 - -5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*c - 4*b + 2*b = 4, -11 = -3*c + 4*b for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 355 minutes before 12:10 AM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = -499*r**3 + 15*r**2 - 18*r. Let d = -747 - -752. Let m be v(d). What is m rounded to the nearest one thousand?\nAnswer: -62000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 + 10*k**3 + 18*k**3 + 3 - 42*k**3 + 20*k**3.\nAnswer: 6*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = -u**3 - 5*u**2 - 5*u. Suppose -5 = n - 0. Let k be 5 + (1 + -2)*2. Suppose -k*j = -j + 4. Let x(d) = 2*d**2 + 2*d. Calculate j*i(z) + n*x(z).\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = -8*m + 8. Let l(f) = f + 1. What is 10*l(p) + n(p)?\nAnswer: 2*p + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = 804*c**3 + 3*c**2 + 52*c - 181. List the prime factors of r(3).\nAnswer: 2, 5, 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -68*l + 34*l - 136 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-6)\/(-21) - 350\/196.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 173604293 to the nearest integer?\nAnswer: 13176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(304)\/(sqrt(48)\/sqrt(24))*3)\/((sqrt(98)\/((sqrt(7) + sqrt(28)\/sqrt(4) - sqrt(7)) + sqrt(7)))\/(sqrt(7)*1*3)) + 5.\nAnswer: 5 + 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -522 divided by -58?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort 10, 5, -871 in ascending order.\nAnswer: -871, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zw when two letters picked without replacement from {n: 2, w: 2, z: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from mxdpdxeq. Give prob of sequence xqx.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 161\/14256 and 125\/69989832.\nAnswer: 139979664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z**4\/z)\/(z\/(z*(z**(-1)\/z)\/z*z*z*z)))\/(z**(-13)*z\/(z*z**(1\/9)*z*z)) assuming z is positive.\nAnswer: z**(163\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 161025 and 5763.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r be 73\/57 + (1768\/494)\/68. Suppose 1\/3*b**4 - r*b**3 + 0 + 1\/6*b**5 + 0*b + 0*b**2 = 0. Calculate b.\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -31, -0.08, 0.09, 9?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3013108 to the nearest integer?\nAnswer: 1736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -409050590 divided by -5?\nAnswer: 81810118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9140 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 3\/4 and (-197)\/(-16) + (-5 - (-7 - -8))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 355 - 355.05. Which is the closest to z? (a) -2\/3 (b) -1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9102697?\nAnswer: 41, 53, 59, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Determine g, given that 18*g**3 - 309*g**2 + 738*g + 840 = 0.\nAnswer: -5\/6, 4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z = -109 - -1468. What is the greatest common divisor of z and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (0 - -9) + 11940\/60?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 140626, 140628, 140630, 140632, 140634?\n\"Answer: 2*n + 140624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:32 AM and 2:09 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k = 24 - 19. Suppose 4*h - k = -h + 4*l, 12 = h - 3*l. Let s be (2\/15)\/((h\/3)\/(-1)). Which is the third smallest value? (a) s (b) -2\/7 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 683544 to the power of 1\/4, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 90146*f*w + f + 31341 wrt w.\nAnswer: 90146*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1538 + 2182. Let l = x + -430. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*u**3 - 8*u**3 + 6*u**3 + 1678198 + 2*u**3 - 839100 - 839098.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 490672 and 520.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand 0 - k + 0 + (2 - 3 + 4)*(-898 + 898 - 30*k).\nAnswer: -91*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v = 29 - -36. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = k**2 - 24*k + 46. Calculate v(19).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 22584 is divided by 2509?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b = -3*c + 109, b - 198 = -5*c - 9. Calculate the remainder when 113 is divided by c.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 456 + -429. Calculate the remainder when 100 is divided by y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1158\/7 + -6269\/42. Let s be ((-20)\/6)\/(2\/(-114)). Calculate the common denominator of ((-3)\/(-2))\/(6\/s) and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qrsk when four letters picked without replacement from ksrydqks.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1341 is divided by 398.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 + -0.275.\nAnswer: -0.275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Work out 126.4433 * 0.2.\nAnswer: 25.28866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = z**2 + 5*z - 4. Let o be n(-7). Let u be 12\/18 - 8\/o. Sort 4, u, 0.3 in ascending order.\nAnswer: u, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.04889403742 to 5 dps.\nAnswer: 0.04889","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Multiply 2.5 and 2.038913.\nAnswer: 5.0972825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round 417212 to the nearest 10000.\nAnswer: 420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from gaasskakgkarasaak. What is prob of picking 1 k, 1 r, and 1 a?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**(-6)\/j*j*j**(-5)*j)\/((j\/j**(2\/17))\/(((j*j\/(j**(3\/2)\/j))\/j)\/j)) assuming j is positive.\nAnswer: j**(-387\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-999)\/15)\/(((-33912)\/(-1256))\/((-90)\/(-2))).\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = -51*x**2 + 3*x + 2. Determine u(-1).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*r + 15 + 20 = 7*b, -5*r - 61 = -3*b for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) be the first derivative of 4977*q**4\/4 + q**3\/3 + q**2 + 8*q - 1. Let h be a(-6). Let r be ((-40)\/(-1))\/(5\/h). Round r to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1101029?\nAnswer: 179, 6151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 204 - 20110?\nAnswer: -14401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from rfrfrgr. What is prob of sequence rgf?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 15111 and 7?\nAnswer: 105777","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 4525 and 109505?\nAnswer: 905","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in 10\/9, 95, -2, 1763, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-one halves of a year in months?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 2201, 2201, 2199, 2195, 2189, 2181?\n\"Answer: -q**2 + 3*q + 2199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 72 and 4980.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q + 13 = 11. Suppose 0 = c + q - 36. Is 17 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 2 + 1)*(1 - 1 - m + (3*m - 4*m - m)*(-2 + 0 + 0))*(-102*m + 5 + 47*m - 3).\nAnswer: -330*m**2 + 12*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l be (2 + -3)\/(50\/(-15) - -3). Suppose -644 = -4*i + 3*t + 617, -i - l*t + 334 = 0. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 1581 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 25020821, 50041642, 75062463, 100083284?\n\"Answer: 25020821*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 107\/385296 and -125\/48.\nAnswer: 385296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) be the third derivative of 0*z - 4*z**2 + 1\/8*z**4 + 0 + 0*z**3. Let n(l) = 3*l**2. Calculate n(f(b)).\nAnswer: 27*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-66)\/(-8))\/(3\/72*1). Suppose 5*c - 264 = -2*g, 7*c - 39 = 6*c - 5*g. Calculate the highest common factor of c and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 88616107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 0.5, -2, -5 in descending order.\nAnswer: 0.5, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 49056 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 21600.91 rounded to the nearest one thousand?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r = -60 + 70.8. What is r rounded to 0 dps?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -503820 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*m - 24*k + 22*k - 54, -m + 18 = 2*k. Suppose 6 = 2*n + n. Calculate the highest common divisor of n and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 415, 1661, 3735, 6637, 10367, 14925, 20311?\n\"Answer: 414*c**2 + 4*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 41546887*u + 7796*u**3 - 41546887*u.\nAnswer: 7796*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) be the first derivative of -n**5\/30 - n**4\/6 + n**3 - 5*n**2\/3 + 7*n\/6 - 2561. Determine p, given that f(p) = 0.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 126579 to the power of 1\/2, to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort 65, -5, -4, 8, -1 in ascending order.\nAnswer: -5, -4, -1, 8, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-5 + 24*g - 27*g + 1)*(-13 - 1 + 6 + (-3 - 1 + 6)*(1 - 2 - 1)) to v + s*g and give s.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = b**2 - 9*b - 6. Let n(a) = a**2 - 10*a - 4. Let g(w) = -4*n(w) + 3*y(w). Calculate the smallest common multiple of 16 and g(12).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 54998, 110357, 165694, 220997, 276254, 331453, 386582, 441629?\n\"Answer: -2*t**3 + t**2 + 55370*t - 371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = 1677*g + 545. Let w(v) = 6*v. Let c(p) = -t(p) + 4*w(p). Differentiate c(u) with respect to u.\nAnswer: -1653","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m*m**(2\/13)\/m)\/m**(-1\/6))\/(m*m\/(m*m\/m**26))**15 assuming m is positive.\nAnswer: m**(-30395\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = -255*s**2. Let v(g) = g**2. Determine v(m(h)).\nAnswer: 65025*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: (18*(-115)\/(-20700))\/(69\/(-12))\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand 6*y**5 - 24*y**5 + 16*y**5 + (y**5 - 2*y**3 + 2*y**3)*(-4 + 14 + 3).\nAnswer: 11*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 42740198, 85480371, 128220544, 170960717, 213700890?\n\"Answer: 42740173*n + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Work out 2 - -27664.\nAnswer: 27666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Product of -266321 and 0.04.\nAnswer: -10652.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 3 + 2 - (-9 - (12 - (19 + -6)))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 324982?\nAnswer: 2, 7, 139, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 3154 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Total of 5189433365 and 1.4.\nAnswer: 5189433366.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1153 and 10.\nAnswer: 11530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = 3*i + 17. Calculate w(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = -2*k**3 - 9*k**2 - 13. Let a be c(-5). Suppose 4*q = 2*q + 5*n + 3, -4*n = -4*q + a. Sort -5, q, -0.2 in descending order.\nAnswer: q, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 501292 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = o**2 - 41*o + 453. Let n be h(18). Solve -n = 22*v + 71 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 3 - (42 - 2)\/(-2). Let k(y) = -15*y - 10*y + g*y. Let o(j) = -9*j. Determine k(o(w)).\nAnswer: 18*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-2628)\/1679)\/(-2))\/(2\/46).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s*s**3)\/s*s\/(s\/(s*(s*s\/s**3*s)\/s)))**(3\/22) assuming s is positive.\nAnswer: s**(9\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/3 in -2915\/408, -0.04, 0.3?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = 12*v**3 - 9*v**2 + v - 9. Let p(u) = -u**3 + u**2 + u + 1. Give 2*m(n) + 18*p(n).\nAnswer: 6*n**3 + 20*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: (-3)\/18 + 19205\/1002\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 4\/9 (b) 22 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is -60 > -5206.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 139 + -320 + -85 + 162.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert -32 (base 12) to base 10.\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 1283204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 689 minutes after 8:20 AM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -687*n + 686*n = -15. Calculate the remainder when 6104 is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 4163.228 - 4162.98499196. Let q = t + -0.243. What is q rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 199\/1140 and 41\/210?\nAnswer: 7980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + sqrt(171) + -1)**2.\nAnswer: -36*sqrt(19) + 207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -0.88 times -0.1\nAnswer: 0.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1422*j**3 + 30*j**2 + 540607*j.\nAnswer: -8532*j + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Product of 5042.6 and 0.2.\nAnswer: 1008.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 3482*f + 71712 = 1490*f for f.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 3 + 54*z - 8*z**2 - 54*z wrt z.\nAnswer: -16*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 71.34 + -71. Let b = h - 115.34. Let j = -110 - b. Sort -4\/7, 0, 0.8, j in descending order.\nAnswer: j, 0.8, 0, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2991*v - 11*v - 1231*v - 1616*v + 862*v to the form n*v + t and give n.\nAnswer: -4987","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 2, -1, -0.3, -2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Does 574 divide 17768744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) be the third derivative of 0*b**5 - 12*b**2 + 0*b - 1\/6*b**4 + 13\/2*b**3 + 4 + 1\/24*b**6. Find the first derivative of p(l) wrt l.\nAnswer: 15*l**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence oxx when three letters picked without replacement from jeexenvojevx?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = -3*m**2 - 4*m. Let o(d) = d**2 + d. Let t be 2\/(-4) - (-3)\/(-2). Give t*o(g) - a(g).\nAnswer: g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -34922 = -10*p + 30228. Suppose -17*n = -p + 1364. List the prime factors of n.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = -k**3 - 9*k**2 - 8*k. Let p be w(-8). Find the common denominator of 1 + p + (-146)\/(-36) and -47\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p\/(((p\/(p\/p**(-22)))\/p)\/p))\/p**(-2\/33) assuming p is positive.\nAnswer: p**(827\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t = 3.1 - 3. Let u = -64266 + 64265.764. Which is the second biggest value? (a) -1 (b) t (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 2255 - -161?\nAnswer: 2446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(99)*2 + sqrt(99))*6)\/sqrt(9) + sqrt(704) + 1 + sqrt(121)\/(sqrt(11)*1).\nAnswer: 1 + 27*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = 4305*y**2 + y. Let g(s) = -s. Calculate g(m(q)).\nAnswer: -4305*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s = 72 - -2213. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -1.0052 and 3.\nAnswer: -3.0156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = 1219*d - 10935. What is the ten thousands digit of p(28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19 = -4*x + 1. Suppose -h - 4*j = -20, 2*h + 0*j = 4*j - 8. Suppose -h*z + 11 = -x. Solve 2*p - 2 = 2*c, -z*p + 0*c = c + 21 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = -13*x**3 - 4*x**2 + 5*x + 7. Let j(h) = h**2 + h - 2. Determine 3*j(i) + q(i).\nAnswer: -13*i**3 - i**2 + 8*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) be the third derivative of -r**4\/6 - 5*r**3\/6 - 18*r**2. Determine b(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) be the second derivative of m**5\/48 + 5*m**4\/96 + 11*m**2\/2 + 9*m. Let j(d) be the first derivative of g(d). Determine l, given that j(l) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-13)\/(-26) - 33\/6) + 22. Calculate the greatest common factor of 187 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -17 + 0 + (-3 + (-4 - -5) - 5).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*x + 4*f + 14 = 2*f, 0 = -2*x - 4*f - 16 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = -2*y**2. Let n(p) = p + 3. Let t be 5 + -2 - (2 + -2). Let s be n(t). Let r(a) = s*a**2 - 3*a**2 + a**2. Give r(x(j)).\nAnswer: 16*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*j = -4*a + 11, -2*j = -4*a + 15 - 9 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 731935609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -5088 divided by 106\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 k and 1 r when two letters picked without replacement from {n: 2, k: 4, m: 8, r: 1}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-5002)\/1159*-10 - (-48)\/(-304)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -46 - 84 = -5*a. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -4558, -4469, -4382, -4297, -4214?\n\"Answer: -d**2 + 92*d - 4649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = -2*i**3 - 2*i**2 - i + 2. Let v be b(-2). Suppose 5*s + 2 - v = 0. Suppose -s*y + 16 = -2. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 19529 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is -3 + (-1 - -112) + 3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -0.2 less than 0.0654?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -61094, -122211, -183326, -244439, -305550?\n\"Answer: k**2 - 61120*k + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = 57\/4 - 14. Let j(v) be the second derivative of a*v**4 - 1\/10*v**5 + 0*v**3 - 2*v + 0*v**2 + 0. Find the third derivative of j(d) wrt d.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 2\/3969, 3, -1\/10?\nAnswer: 2\/3969","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x be 4\/28 + 145\/(-35). What is the units digit of (-2076)\/(-42) - x\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 223310030 (base 7) to base 10\nAnswer: 13582478","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 813, 642, 447, 234, 9, -222, -453, -678?\nAnswer: -891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r - 58 = -4*q, -4*q + 5*r + 76 = r. Let a be 32*(-2 + (19 - 3)\/4). Let g be ((-285)\/(-76))\/(6\/a). What is the highest common factor of q and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is fourty-two fifths of a milligram in micrograms?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -4 - (-12 + 3 - (-1 - (-3 + -2)))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 10 bigger than -15065?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a = -2*a - 0*a. Suppose a = q - 3*q + 7*q. Determine n so that 7\/3*n**2 + 2\/3*n + 5\/3*n**3 + q = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = -55*m - 275. Let i be c(-5). Find the second derivative of i - 6*r + 12 + 1 + r**3 + 13*r**2 + 4*r + 4*r**2 wrt r.\nAnswer: 6*r + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*v - 20. Is 12 a factor of v\/18 - 652\/(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 697303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:42 PM and 3:05 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (40*b**3 - 1011*b**2 + 1011*b**2)*(2*b**2 + 2*b - 2*b).\nAnswer: 80*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in ten thirds of a hour?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -1, -826, -2 in increasing order.\nAnswer: -826, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y + 62 = 3*l + 367, l - 169 = -3*y. Let m be (-1 + 0\/2)\/(551\/y). Which is the fourth biggest value? (a) -3 (b) m (c) -1 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 45 + 83*j**2 - 45 + (1 - 1 + 3*j)*(-4 - 1 + 2)*(1 + 2*j - 1).\nAnswer: 65*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d = 21 + -30. Let z = -6 - d. Solve 0*p = -z*p + 15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*p + j - 20 = 0, -2*j = -j + 3*j for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.2 in -0.17, 3, 225, 4\/5, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 85\/686 and 140\/(-1617)*(-336)\/(-245)?\nAnswer: 7546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 26 + -23. Let p = z + -7. Let u = 90 + -86. Which is the fourth smallest value? (a) p (b) u (c) 2 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/5 of a meter in centimeters?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide 680 by -17.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l = -14 - -23. Let h = 22 + -12. Let t = h - l. What is the second smallest value in t, -5\/4, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 321 minutes before 8:14 PM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 337362, 1349272, 3035790, 5396916, 8432650?\nAnswer: 12142992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 308879?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 5 + -60232220735?\nAnswer: -60232220730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 61 + -20 + 13 + -19 + 0.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 4114, 4114, 4120, 4138, 4174, 4234?\n\"Answer: w**3 - 3*w**2 + 2*w + 4114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 528441 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 977 = 65*q - 2652 + 1224 for q.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(-6*(-1 + sqrt(176)))**2.\nAnswer: -6372 + 288*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o + 14 = 5*s, 3*s - 2 = -0*s - 5*o. Let j(t) = -2*t**2 + 7*t - 1. Let n be j(s). Sort n, 0.2, -3\/7 in decreasing order.\nAnswer: 0.2, -3\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = -175*y - 113. Let m(s) = 173*s + 89. What is 4*g(b) + 5*m(b)?\nAnswer: 165*b - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kqpqsqqksqqk. Give prob of picking 2 s.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s + 2*v - 4 = v, 0 = 2*s - 4*v + 16. Let r(l) = 2*l**2 + 2*l - 2. Let t be r(-2). Let h(w) = -t - 1 - 9*w**2 + 8*w**2. Determine h(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = 3*n**2 + 3*n + 1. Let o be s(-2). Suppose 359 + 978 = o*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-2)\/4 - (-6)\/4. Suppose -3*v + 2*k + 72 = 0, 5*v = -4*k + 34 + 64. Let a be v\/432 + 98\/1323. Is a less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-6*(-2)\/(-80)*1*-2)\/((-1480)\/(-400))?\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = 4*f**3 - f**2 + 2*f. Let s = 8 + -6. Let k(b) = 13*b**3 - 4*b**2 + 7*b - 1. Calculate s*k(t) - 7*v(t).\nAnswer: -2*t**3 - t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 11*p + 3 - 80. What is the lowest common multiple of 37 and p?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*p**2 + 6*p**2 - 2*p**2 - 10*p**2.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) be the second derivative of -5\/6*x**3 + 5\/24*x**6 - 7\/16*x**4 + 1\/4*x**5 - 1\/2*x**2 + 4*x + 0. Factor c(p).\nAnswer: (p - 1)*(p + 1)*(5*p + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v + v = -1578. Is 20 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 41\/(-4) + (-4)\/(-16). Let i be h\/35 - 30\/(-7). What is the third derivative of 2*t**2 - 3*t**4 - 4*t**4 + 3*t**4 - i*t**2 wrt t?\nAnswer: -96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.021620523 to four decimal places.\nAnswer: 0.0216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort -11, -5, 14 in descending order.\nAnswer: 14, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = i**3 - 3*i**2 - 4*i + 2. Let w be q(4). Suppose 5*k + 26 = 4*g, 2*g = -w*g - k + 14. Which is bigger: g or 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (27\/(-12))\/((-9)\/24). Suppose -69 - r = -5*d. Let y = 35 - d. Is y a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4*(-18)\/(-96)*(-8)\/(-14)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 2*8\/(-12)*1\/(-4)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*r**3 - 112024*r**2 + 4*r + 112024.\nAnswer: -4*(r - 1)*(r + 1)*(r + 28006)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 205 * -0.754496\nAnswer: -154.67168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is ((-1)\/(-9))\/((-6)\/18)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 3213 and 3426050817?\nAnswer: 3213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = 4*c**2. Let j(d) = 4*d**2 - 4. Let s(b) = -1. Let u(q) = j(q) - 4*s(q). Calculate u(h(k)).\nAnswer: 64*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.3523 - -0.6493. Round x to two dps.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = -29*g**3 + g**2 - 3*g + 1. Let j be w(1). Let d = j + 18. Let b = d + 55. Calculate the remainder when 171 is divided by b.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = k - 0*k - 3*x - 14, 0 = k - 5*x - 12. Solve 4*z = -2*n - 4, k = -3*z + 5*n - 12 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 1 (b) -4\/9 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4565361402 divided by -6.\nAnswer: 760893567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t + 28 = 2*k, 2*k + t = 4*k - 7. Let v(u) be the second derivative of k + 1\/10*u**5 + 0*u**2 + 2\/3*u**4 - 34*u + u**3. Factor v(q).\nAnswer: 2*q*(q + 1)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -294029 * 0.08.\nAnswer: -23522.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x**2\/2 + 563*x\/2 + 281 = 0. What is x?\nAnswer: -562, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m + 13*q - 17*q = -13, -5*m = -5*q + 15. Let u = 1 + -1. Suppose u = z + 3*b - 10, 3*z - b - 18 - 2 = 0. Solve 5*f - z - 4 = 2*h, -m = h - f for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 4*c**2 - 411524460*c + 823048904 = 0. What is c?\nAnswer: 2, 102881113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.4, 591\/4, 3\/38?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 83213*r**3 + 180*r + 362 wrt r?\nAnswer: 499278*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -22 and -30.62?\nAnswer: 673.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 97084, 388332, 873752, 1553350, 2427132, 3495104?\nAnswer: 4757272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is -23 at most as big as 3894544?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 445728.93 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 - 8 = -4*q - 2*t, 4*t - 20 = 0. Let i be ((-4)\/(-2)*(-5)\/q)\/(-1). Suppose i*g - 185 = -3*j - 2*j, 5*j = -2*g + 71. Is g a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p + 4*m = 28, 0*p + 5*m - 17 = -p. Let l(a) = a**3 + a**2 - 28*a - 51. Let n be l(-4). Which is bigger: n or p?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-2 + -1 - 0) + 2. Which is the second smallest value? (a) -2 (b) 6 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i\/(i*i*i**(-1\/2)))**(-23)*(i**1\/i)**(27\/2))**(-3\/16) assuming i is positive.\nAnswer: i**(-69\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-15)\/10 + 45\/2. Let n be -2 + 2*u\/6. Solve 0 = -n*f - 12 - 13 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -h*p**2 + 2425*h*p*x**3 - 2*h*x**3 - 47*h*x + 11*p**2 - 45*x**3 wrt p.\nAnswer: -2*h*p + 2425*h*x**3 + 22*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 - (-1 - (3 + -2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k - 4*t - 25 = 0, k + t = 1 - 5. Let c(l) = 7*l**2 - 3*l - 3. Let q(a) = a + 1. Let u(y) = k*c(y) + 3*q(y). Let f(r) = r. Calculate u(f(w)).\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -q**6 + 2235043*q**3 + 70386594*q**2?\nAnswer: -120*q**3 + 13410258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in seventeen sixths of a century?\nAnswer: 3400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = 7654.99 - 7655. Sort 115, g, -0.4 in ascending order.\nAnswer: -0.4, g, 115","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = 35*n**2 - 61*n - 54. Let r(z) = 58*z**2 - 121*z - 109. Let m(o) = 15*d(o) - 9*r(o). Factor m(k).\nAnswer: 3*(k + 1)*(k + 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w - 18 = w. Let v = -1 - w. What is the remainder when v is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 0.002 and 126356231.\nAnswer: 126356231.002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1\/4)\/((33\/(594\/(-12)))\/(4392\/(-27))).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 379 - -112?\nAnswer: 48b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.5, -18, 12551155 in descending order.\nAnswer: 12551155, 0.5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = 165*m. Let s(i) = i. Calculate s(u(y)).\nAnswer: 165*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 2821, 1.1, -1\/3?\nAnswer: 2821","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*i = -2*x - 78, 4*i + 573 - 604 = x. Solve 0 = 2*c + 3*v - 4, -3*v + 7 = 3*c + x for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = 3*d**2 - 7*d - 5. Suppose 7*m = 9*m - 18. Does 25 divide t(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -19 - -88. What is the remainder when y is divided by -1 - (6\/2 - 22)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -15\/249541061 and 1\/6481586?\nAnswer: 499082122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/13? (a) 0.08 (b) 306255 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 66 - -62?\nAnswer: c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 11101 (base 7) in base 13?\nAnswer: 136c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -1023 - -3?\nAnswer: -1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) -0.9 (b) -17\/6 (c) 0.5 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 429*v - 16 = 425*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1133870054.\nAnswer: 2, 23, 97, 163, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = -2*v - 2. Let x be a(2). Let l be ((-3)\/x*0)\/1. Solve -p + l*p = -1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 13*d - 41*d + 29*d + 75.\nAnswer: d + 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 110037 is divided by 12764?\nAnswer: 7925","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -1\/9, 2\/3, 3\/8, 8, 0.69?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = -48*q + 6. Let o(k) = -k. Calculate o(r(y)).\nAnswer: 48*y - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Divide -118910172 by 4.\nAnswer: -29727543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*w + 9, 20*f - 18*f = -4*w + 134. Solve -37*c + f*c = 48 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (12\/12)\/(1\/182).\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 25\/2 of a kilometer in meters?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_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: What is 146023 times 0.5?\nAnswer: 73011.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 8 and 28?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*y**3 + 9*y**3 - 4*y**3 - 2 + 5*y**2 + 28*y - 33*y to the form j + b*y + i*y**3 + p*y**2 and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000003177 to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -1 (b) -2 (c) 21 (d) 39 (e) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 205\/574*(-1)\/(30\/(-8))\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 208249?\nAnswer: 29, 43, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = -299 - t**3 + 2*t + 301 - 2*t**3 + 2*t**3 + 3*t**2. What is w(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b*b*b**(-1\/3)*b)**(-5\/18)\/(b*b**(2\/5)\/b)**(1\/16))**(23\/3) assuming b is positive.\nAnswer: b**(-19021\/3240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -363 = -3*h - 996. Let g = -209 - h. Solve 3*a + 2 = g*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 77030486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = -29*z**2 - 34*z - 11. Let u(s) = 14*s**2 + 17*s + 5. Let j(k) = 2*d(k) + 5*u(k). Let w be j(-4). Suppose -37 - w = -r. List the prime factors of r.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -3027 and 6106.\nAnswer: -18482862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 4\/7? (a) 14 (b) -374 (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Determine r, given that -4*r**5 - 728*r**4 + 4468*r**3 - 8248*r**2 + 4512*r = 0.\nAnswer: -188, 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w = 11403 - 19543. Round w to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = -p**2 + 137*p + 2254. Determine x(-15).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w = -4\/53 - 995\/159. What is the third biggest value in -3, w, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g - 694 = -690, 2*s - 5*g - 108 = 0. Calculate the remainder when 1*171 - (-3 + 3) is divided by s.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 143 + 4e?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -n*s**2 - 4*n*s - 4*n - 33958957*s**2 - 43*s + 275 wrt s?\nAnswer: -2*n - 67917914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 382 a factor of 166212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*((sqrt(21) + sqrt(84)\/sqrt(4) + sqrt(21))*6 - (2*sqrt(84))\/sqrt(4))\/(2*sqrt(448) + -2*-1*sqrt(7)).\nAnswer: -32*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f be 3 + 0 + -4 + 0. Let u be f + -3 - (3 - 10). Suppose 0 = 4*l + q - 5*q - 148, -u*q + 201 = 5*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:36 AM and 4:25 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(208) + 0)*4)**2.\nAnswer: 3328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -1000000001 - 2?\nAnswer: -1000000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:07 AM and 8:12 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 9015908 and 36542.\nAnswer: 99174988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express -3*t**2 + 391*t**3 - 3 + 2*t**2 + 0 + t - 3*t + 192*t**3 as s*t**2 + i*t**3 + n*t + x and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m = 21882 - 21880. Factor 4\/3 + 2*a + 2\/3*a**m.\nAnswer: 2*(a + 1)*(a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*sqrt(1377)*2*6.\nAnswer: -216*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 + 19*h**2 + 4*h + 2 + 72*h**2.\nAnswer: 91*h**2 + 4*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 200 and 5693975.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s + 6 = -8. Let x be ((-21)\/6)\/s - 0. Which is the second biggest value? (a) 3\/8 (b) -2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 100 = 4*k - 4*o, -40*o + 39*o = -1. What are the prime factors of k?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-1)\/(1*1\/(-2)). Suppose 12 = -q + 4*n, 2*q + 4 = 5*n - 2*n. Suppose i*m + 3*u = 8*u - q, -4 = -2*u. Solve 9 = -5*r + 4*a, -2*r - 1 = m*a - 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-2)\/(-4)*(7 - 3). Let q be (-2 - 0)\/c + 3. Suppose -r = 3, -3*i - 1 = 5*r + q. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1076873 to the power of 1\/3, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -0.109 (b) 1 (c) -6 (d) -80 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) be the third derivative of -o**8\/2688 - 29*o**7\/5040 - o**6\/72 + 5*o**4\/4 + 2*o**2 + 32*o. Let g(p) be the second derivative of h(p). Factor g(c).\nAnswer: -c*(c + 5)*(5*c + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1516 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 0 - 2 - (9 + 131530\/(-7)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 3 + 1*(-454)\/(-2). Suppose v = 3*u - 313. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 5 by -465.\nAnswer: -1\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 12 + -13 + 2 + -4 + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in eleven halves of a tonne?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 7886983 and 193609.\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 g and 3 p when four letters picked without replacement from {g: 1, p: 11}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = 28927*w. Let f(d) = -9*d**2 - 4*d. What is f(v(u))?\nAnswer: -7530941961*u**2 - 115708*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*h**2 - 19*h**2 - 10*h**2.\nAnswer: -29*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*o + 4*t + 11 + 1 = 0, -5*o + 3*t = -11 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -23 (base 4) to base 13\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 101 minutes before 10:38 PM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l = -27 - -26.906. Round l to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 271*d - 265*d - 90. Calculate the greatest common divisor of d and 54.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 99494330.\nAnswer: 2, 5, 13, 67, 11423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 5 (b) -5 (c) 2\/15 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = 322130*c + 2899210. Give v(-9).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1.5 + 1.34. Let k = w + 0.06. Which is the closest to 0? (a) -1 (b) -0.3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -963087 by -3837.\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = 12*p**2 + 16*p + 22. Let t(j) = 4*j**2 + 5*j + 7. Calculate 5*f(c) - 16*t(c).\nAnswer: -4*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 209951 is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 18*j**2*u - 387471*j**2 + 2019*j*u with respect to u.\nAnswer: 18*j**2 + 2019*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify y**(-2\/25)\/((y\/y**(4\/5))\/y*y*y)*y**(-5\/2)\/y*y**20\/y*y assuming y is positive.\nAnswer: y**(761\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = 8*u - 12. Let i(t) = 26 - t - 46 + 21. Give -12*i(r) - q(r).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o be 17\/34*(43 + -1). Calculate the greatest common factor of 357 and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = -m**3 - 543*m**2 + 316290*m - 760. Give b(353).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -7*g**3*x**2 - 8*g**3*x + 8*g*x**4 + 2*g*x**2 - 21*x wrt x?\nAnswer: -14*g**3 + 96*g*x**2 + 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10011000 - 111100111010111000101?\nAnswer: -111100111010100101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2*sqrt(312) - sqrt(312))\/sqrt(6))\/(1*sqrt(36)).\nAnswer: sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.256168 + -0.256. What is w rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -31.5*-3252.7.\nAnswer: 102460.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 16 greater than or equal to -60?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -31 - 5 = -6*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1075178?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = 2*z**3 - 2*z**2 + z. Let b be l(1). Let s(r) = -2*r - 3. Let y be s(-5). Let d(i) = -6 + y - 2. Let g(a) = -a + 2. Determine b*g(f) + 2*d(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 15554\/(-704) - (-154)\/(-10 - -17)\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3133 + 3133 + 89*q**2 - 88*q**2.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 2101041732?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round 13932.238 to the nearest 100.\nAnswer: 13900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 116*n + n - 1605 = 10*n for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w = -64 + 31. Let p = 42 + w. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1157289918.0974434035914 + 1972.0974465035914. Let d = 1157287879 + y. Let o = d + 67. What is o rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from auauwnnuu. What is prob of sequence uu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -2 - -2615774?\nAnswer: 2615772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = g. Let q be 0 + (-2)\/4 + 91\/156. Let f(t) be the third derivative of -2*t**2 + 0*t**3 + 0 + 0*t - q*t**4. Calculate f(c(b)).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -124, -512, -1172, -2116, -3356, -4904?\nAnswer: -6772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*c - 4*d + 4, -4 = d - 5. Suppose -2*p = c, -4*k + 3*p + 4768 = 5*p. Suppose x - 987 - k = 0. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*v + 649 = 14761. Does 24 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*f + 3*f - 18. Calculate the remainder when (2\/(-3))\/(4\/(-420)) is divided by f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -593 + 618. Let i(w) = -w**3 + 26*w**2 - 5*w + 37. Let t be i(j). What is t rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) be the second derivative of -k**4\/12 - 7*k**3\/3 - 18*k**2 + 90*k. Calculate the lowest common multiple of 64 and z(-10).\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b - 4*b + 174 = 4*n, 4*n = 4*b + 156. Suppose 2*x - 22 = -x + w, 0 = 5*x + w - n. Solve -7*m + x*m = 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d = 2*k - 4, -d + 17*k - 21*k = 1. Solve 4 = -d*r - 5 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = c. Let d(n) be the second derivative of n**4\/3 + n**3\/3 - n**2\/2 + 3*n. Let k(t) = d(t) - 2*p(t). Differentiate k(q) with respect to q.\nAnswer: 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -1984.4, -1, 4\/5, -2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 5 - 4 - (5 - 3) - 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find t, given that 2*t**5\/5 - 1116*t**4\/5 + 155682*t**3\/5 = 0.\nAnswer: 0, 279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2 or -158\/65?\nAnswer: -158\/65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 17 a factor of 446590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2 or 27\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = -1 - 3 - 2*h + 5 + 8. Give o(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 325381 divided by -7?\nAnswer: -46483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = -x**2 + x + 1. Let y(l) = -112*l**2 + 9*l + 9. What is -18*k(o) + 2*y(o)?\nAnswer: -206*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 0, -8, 2 in increasing order.\nAnswer: -8, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 3 + -780?\nAnswer: -77c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q\/(q**(2\/25)\/q))\/q)**(-9)\/(q**(-15))**24 assuming q is positive.\nAnswer: q**(8793\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = 2*t**2 + 15*t + 1. Calculate u(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 316236298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose o = -7*o + 4*o. Let g(y) be the first derivative of -y**2 + o*y**4 + 0*y**3 + 3\/5*y**5 - 2 + 0*y. Find the second derivative of g(t) wrt t.\nAnswer: 36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.3906519 rounded to 3 decimal places?\nAnswer: -0.391","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate -190266 divided by -2.\nAnswer: 95133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -294*b - 495*b + 90 + 1211.\nAnswer: -789*b + 1301","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = 25*q. Let p(h) = 3*h + 7396. Calculate p(o(k)).\nAnswer: 75*k + 7396","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = s**2 + 13*s + 11. Give f(-13).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xak when three letters picked without replacement from kxaxkxxk.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 119\/1339880 and -61\/3280?\nAnswer: 2679760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s - l = -8, -12 = 2*s - 2*l - 2. Suppose 5*t - 3*m - 45 = 0, t = -t - 3*m + 39. Is s - t\/8*-18 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 1910500 to the nearest 100000.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 376880790 to the power of 1\/2, to the nearest integer?\nAnswer: 19413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -848*g**4*h**2 - g**2*h**3 + 325*g*h**2 + 3*h**3 wrt g?\nAnswer: -10176*g**2*h**2 - 2*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*m + 0*m - m)*(2 - 1 - 2)*(-3 + 3 - 1).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = j**3 + 5*j**2 - 84*j + 15. Let x = -359 + 673. What is the remainder when x is divided by y(-12)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (1\/3)\/((-314)\/(-2826))*360\/9?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -222210 - 11?\nAnswer: -222221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*3*sqrt(30))\/((sqrt(10) - sqrt(30)\/sqrt(3))*-5 + sqrt(10)).\nAnswer: 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 - 6 = 13*f. Solve f = -13*u + 14*u + 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k - 65*q = -70*q + 125, -k + 4*q - 16 = 0. Let s(r) = r**3 + 27*r**2 - 27*r + 26. What is s(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-10)\/5)\/6 + 5 + -5)\/(37\/1887).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f be 2 - 2\/(-1) - 2. Let n be 18\/4 - (-1)\/f. Let p(t) = -t**3 - t**2 + 2*t + 3. Let j be p(-2). Sort n, -3, j in decreasing order.\nAnswer: n, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = 2*s + 24. Let o(x) = x + 12. Let w(b) = 7*o(b) - 3*p(b). Let n be w(0). Suppose -20 = -3*m + 2*q + 3*q, 0 = -m + 3*q + n. Is m not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.0749 + 0.0418. Round q to 3 decimal places.\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (41 - (122 + -73)) + (-2 + 0 + 3 - -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 600 a factor of 318775200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = -29*p + 1130. Let y be t(32). Put -1, 1, y in increasing order.\nAnswer: -1, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 19 + -12. Let l = c + -1. Solve -t = t - l for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -5, 5, -1.32?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p be 2\/(-7) - (-52)\/(-14). Let w be p\/(-8) - 1\/2. Suppose 0 = 3*f + 3, w = -c - 2*c + 4*f + 16. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4 + 9*h - 8*h + 18.\nAnswer: h + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Work out 127028 * 1311.\nAnswer: 166533708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z be -3 + (-22)\/(-2 - 0). Suppose -z*y + 6*y = -14. Let a be 2\/(-4)*(-9 + y). Is a != 3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -138 + 2?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -2 + -3 + (29 + -18 - 20)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 33499132.\nAnswer: 2, 23, 41, 83, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*p**3 - 4*p**3 + 2*p**3)*(-7*p - 26 + 5 + 5).\nAnswer: 14*p**4 + 32*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y = 3088689\/118 + -26175. Let q = -31711\/8998 + -176\/409. Calculate the common denominator of q and y.\nAnswer: 1298","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8803 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v = -3.91 + -0.09. Let p(z) = -z**3 - z + 6. Let k be p(0). Suppose o - 3*b = -4, -11*o + k*o + 2*b = -6. Put -1, v, o in decreasing order.\nAnswer: o, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -7.6 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 7727419539 to the nearest integer?\nAnswer: 87906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let -c**4\/7 - 9075*c**3\/7 + 209094*c**2\/7 - 1455380*c\/7 + 2729400\/7 = 0. Calculate c.\nAnswer: -9098, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o = 5 + -6. Let i = 3 - 6. Let y(k) = -k - 1. Let q be y(4). Sort q, o, i in decreasing order.\nAnswer: o, i, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 221 divided by -17.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:10 AM and 1:43 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g = g + 30. Suppose -g = 3*q - 5*q. Solve 10 = q*j - 0*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2 + -3 + 3 + (23 - 107 - -59)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = -968*h - 17398. Give s(-18).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 4\/27 in -0.25, 0.4, 20, -6, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -206 (base 12) to base 5\nAnswer: -2134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o + 8 = 0, -4*b + 3*b - 38 = 5*o. Suppose 165*r + 1188 = 132*r. Let q be 707997\/4 + r\/b. What is q rounded to the nearest 10000?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8110 + 1889 = 3*i. Let u = i - 1886. Let w = 2177 - u. Round w to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1914 divided by 1.\nAnswer: -1914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = 15*x - 6. Let t(z) = -5*z + 2. What is -3*g(a) - 8*t(a)?\nAnswer: -5*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 32 = 15*v - 7*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d = -88405571.3 - -88405197.795253. Let p = d + 342.50472. Let c = p - -31. What is c rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide (2860\/11)\/(9\/(27225\/11))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 24280.\nAnswer: 2, 5, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*u + 3*f - 21 = 12*u, -5*u - f - 33 = 0 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + ((2*sqrt(171) + sqrt(171))*-4)\/((2*sqrt(54))\/sqrt(6)) + 3*((sqrt(684) + sqrt(684)*2 + sqrt(684))**2 + (sqrt(19) - (0 + 1*sqrt(19)))).\nAnswer: -6*sqrt(19) + 32831","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 161\/36000 and 77\/558000.\nAnswer: 1116000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = 31*k + 39*k + 31*k + 1 - 104*k. Let j(m) = -2*m + 1. Calculate -5*j(a) + 3*r(a).\nAnswer: a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*y = 185 - 17. Calculate the highest common divisor of 84 and y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = 5*g - 345. Let u be f(0). Calculate the common denominator of -107\/10 and u\/100 - (-16)\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -8829 - -8532. What is the closest to -6 in c, 3, -1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = 2*h + 45. Suppose -f = -2*v - 70, -4*f - 2*v + 290 = -0*v. Suppose -b = -f - 0. Calculate the remainder when b is divided by a(-4).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) be the second derivative of -17*t**8\/56 + 11*t**4\/12 - 9*t. Find the third derivative of d(z) wrt z.\nAnswer: -2040*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -4 or 280?\nAnswer: 280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1576897?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*c - 2 = -3*g - 1, -2*g + 3*c = 21 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = 9*l**2 - 2*l + 2. Let w(c) be the third derivative of -c**5\/60 + c**4\/24 - c**3\/6 - 7*c**2. Let v(h) = -r(h) - 3*w(h). Determine v(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*z**2 + 7*z + 3.\nAnswer: (z + 3)*(2*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: (-28)\/8*(-19)\/(399\/(-60))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 33 and 2937?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 5453?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = 5*s**3 + 19*s**2 - 14*s - 17. Let y = 9 - 14. Let x(f) = -2*f**3 - 10*f**2 + 7*f + 8. Let z(g) = y*x(g) - 3*t(g). Is z(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*m - 5*m + 20 = 0. Let l = 2 + m. Solve -3*d - 3*n = -l*d, d + 12 = -5*n for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 + 4 = 2*h. Let b(t) be the first derivative of 0*t**4 - 1\/15*t**5 + 1\/9*t**3 + 0*t**h + 0*t + 3. What is x in b(x) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -61 less than -309?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = 3*k + 4. Let b be l(-3). Let j be (-2)\/(-6) - b\/(-15). Suppose -2*u = -j*h - 3*h + 10, -u = -4*h + 5. Put 1, -2, u in increasing order.\nAnswer: u, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = -3 + 7*w - 15*w - 1 - w**2. Let v = -6 - 1. Let n be a(v). Solve 6 = 3*p - n*j, -6*p - j + 22 = -p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -14\/11*y**2 - 2\/11*y**3 - 16\/11 - 28\/11*y = 0 for y.\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = -r**2 + 12*r + 12. Let f be k(13). Calculate the common denominator of (-2)\/(360\/294) - (f - 0) and -73\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*c**2 + c**2 + 0*c**2 + (-2 - 3 + 2)*(-2*c**2 - 4*c**2 + 4*c**2) - c**2 + 4*c**2 + 0*c**2 + (-c - c + c)*(-6*c + 3*c + 4*c) + 2*c**2 - 4*c**2 + c**2.\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) be the third derivative of -5*s**4\/8 - s**2 - 67*s + 5. Let w(d) = -18*d + 6. Give w(z(c)).\nAnswer: 270*c + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d = -696 + -1996. Let n = d - -48487\/18. Calculate the common denominator of -117\/14 and n.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence saas when four letters picked without replacement from sssiasarrassrr?\nAnswer: 15\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = 10616*g + 2. Let d(l) = l**2. Calculate d(b(s)).\nAnswer: 112699456*s**2 + 42464*s + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.1 and -7.06?\nAnswer: 0.706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 7792 and 307760624.\nAnswer: 307760624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b = -43 - -48. Let n = 2.723 - 0.023. Let j = n + -2.9. What is the third biggest value in j, -2\/13, b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -6, 10, -1155.\nAnswer: -1155, -6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j = 10 + -6. Let a be 89\/58 + 0 + 0. Let h = 1\/29 - a. Sort h, -1, j.\nAnswer: h, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 1605*c**3*f*t**2 + c*t**2 + f - 8691*t**2 wrt c.\nAnswer: 4815*c**2*f*t**2 + t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 58 divide 718237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -0.01, 632\/11, -10\/31, 4.3?\nAnswer: 632\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(-9))**(-34)\/(p**35\/p**11) assuming p is positive.\nAnswer: p**282","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1214.998932 - -1215. What is l rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -83*m*s**2*t**5 - 18*m*s**2*t**2 - 4*m*s*t**2 + 3*m*t**5 + 2*s**2*t**2 wrt t.\nAnswer: -4980*m*s**2*t**2 + 180*m*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 l, 1 i, and 1 o when three letters picked without replacement from flonisif.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n = 10017\/200 + -401\/8. Let r = -5 + 5.2. Is n at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -30 + 26. What is the second smallest value in 2\/15, -0.09, a?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -2434 - -4355. Let z = h + -5816\/3. Calculate the common denominator of z and (-21)\/4*(-20)\/(-55).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(105)*-1)\/sqrt(7)*5)\/(sqrt(108) + 6*sqrt(108)*-1).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 a and 3 d when four letters picked without replacement from ddnaoaadooooaoooh.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = -x**3 - 5*x**2 + 2*x + 4. Let f(u) = -u**3 + 5*u**2 - 5*u - 1. Let y be f(4). Let n be p(y). Let r = -11183 - -11184. Sort r, n, 0, -5.\nAnswer: n, -5, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (45\/(-15))\/(-15)*(-280)\/(-48).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = 27*y - 225. Calculate d(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = 5*d**4 + 5*d**3 - 19*d**2 - 21*d - 20. Let x(t) = 27*t**4 + 25*t**3 - 96*t**2 - 105*t - 110. Let s(y) = -11*a(y) + 2*x(y). Factor s(u).\nAnswer: -u*(u - 3)*(u + 1)*(u + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -18 + 107. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1122\/204)\/((-24)\/(-2)*4\/(-8))*-2.\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -140180, -140871, -141564, -142259, -142956?\nAnswer: -143655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 316 + 260 = 96*n. Put n, -3, -60 in descending order.\nAnswer: n, -3, -60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -197*h**3*r**3 + h**2*r**3 + 96*h**2*r + h**2 wrt h.\nAnswer: -1182*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = d. Let v be w(3). Suppose -2*z + 5*g + 5 + 43 = 0, g + 72 = v*z. Suppose 4*i - z = -0. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -301453.0553 rounded to the nearest 1000?\nAnswer: -301000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) be the second derivative of -328*z**7\/21 - z**4\/4 - 113*z**2\/2 - 940*z. What is the third derivative of b(p) wrt p?\nAnswer: -39360*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = -125*g**2 - 8*g - 9. Suppose 40*r = 37*r - 24. Let p(n) = 375*n**2 + 22*n + 26. Let t(s) = r*l(s) - 3*p(s). Find the second derivative of t(b) wrt b.\nAnswer: -250","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 10 (base 2) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 12.952 times -0.0783\nAnswer: -1.0141416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 16*-2.9.\nAnswer: -46.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 342755.\nAnswer: 5, 7, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 48\/72 - (-2)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -8220129, -16440260, -24660391?\n\"Answer: -8220131*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence aoo when three letters picked without replacement from aoohd.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z = 204 + -68. Calculate the greatest common divisor of 8 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 32 and 500?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-12)\/16)\/(4 + 1125\/(-280)). Calculate the common denominator of 14\/41 and q\/70 + -1 + (-309)\/40.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1755065932.\nAnswer: 2, 367, 1195549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -28 - 50 - 40 = 2*q + 24 for q.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i + 58 = 3*y, 2*i + 2*y = 41 - 11. What is the closest to 1 in i, 4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -147*g**2 + 35*g + 10893 wrt g?\nAnswer: -294*g + 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of h*p*v**2 + 354*h*v**3 - 40*p + 5*v**3 wrt h.\nAnswer: p*v**2 + 354*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = -l**4 - l**3 + l**2 + l + 1. Let a(d) = -2*d**4 - 3*d**3 + 3*d**2 + 3*d + 5. Let f(t) = -5*a(t) + 15*c(t). Find the first derivative of f(k) wrt k.\nAnswer: -20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 215*g*j**2 - 4474*g*j + 6*j**3 - 55*j**2 - 566*j wrt j.\nAnswer: 430*g + 36*j - 110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Do -321 and -319 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Divide 144 by 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*q - 2*n + 200, 3*n = -2*q - 2*q + 268. Suppose s - q - 33 = -4*a, -3*s - 3*a = -273. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h - 74 = -x, -3*h = x + 3*x - 62. Let j(y) = 37*y + 995. Let m be j(-23). Calculate the highest common factor of m and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-2)\/(-2) - (-58)\/(-174). Find b such that 4\/3 + h*b**2 - 2*b = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000012429 to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 1 greater than -7\/12101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 324813 to the power of 1\/2, to the nearest integer?\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) be the second derivative of 11\/6*i**3 - 40*i + 3*i**2 + 0 + 11\/12*i**4 + 1\/20*i**5. Give c(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6.995163 weeks in hours?\nAnswer: 1175.187384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 4662 and 144?\nAnswer: 37296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g be (47\/(-24) - -2)*8. Let w = 41461\/38 + -1091. Let s = w + -157\/1026. Which is the biggest value? (a) -2 (b) s (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {a: 7, t: 5, n: 4, d: 2}. Give prob of picking 1 t and 3 d.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((v**(-5\/6)*v)\/v)**(-2\/3))**39 assuming v is positive.\nAnswer: v**(65\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -1379, -5638, -12775, -22790, -35683, -51454, -70103?\n\"Answer: -1439*n**2 + 58*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = 500 + -289. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) be the first derivative of -7*v**4\/4 - 5*v**3\/3 + 1. Find the third derivative of t(x) wrt x.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 249*p**2 + 175*p**2 + 325*p**2.\nAnswer: 749*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) be the second derivative of c + 1\/2*c**4 + 0*c**3 + 3\/20*c**5 + 0*c**2 + 0. Solve m(i) = 0 for i.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 245 + -25?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -p - 0 + 8. What is the smallest common multiple of 7 and p?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 = -4*h + 3*i + i, i = 2*h - 13. Let n = h + -10. Is n < -1\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 381*q - 4142 = 7288. Solve -153*n + q = -159*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 91*s - 86*s = -5*n - 85, -13 = n - s - 0 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = -76*k**2 - 77*k**2 - 28 + 152*k**2 + 15*k. Let r be h(12). Let n be (11\/(-2))\/(12\/r - 2). Calculate the highest common factor of n and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 21781 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = -13*y**2 - 352*y + 84. What is the remainder when 933 is divided by i(-27)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) be the third derivative of 1\/8*t**4 + 0 - 7*t**2 + 1\/2*t**3 - 1\/60*t**5 + 0*t. Find the second derivative of i(h) wrt h.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1809451?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 121856.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*n = n + 14. Let w = n + -4\/5. Solve 0 + 2\/5*s - w*s**3 - 4\/5*s**2 = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 30 + (-28 - -8 - 2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -37559, -75118, -112679, -150242, -187807, -225374, -262943?\nAnswer: -300514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m = -33738\/25 - -1349. Find the common denominator of -29\/40 and m.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2094663?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 311388*g**2 - 313973*g**2 - 2*g + 4*g to m + k*g + h*g**2 and give h.\nAnswer: -2585","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 58.82 plus -81812517507?\nAnswer: -81812517448.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(-9)*f\/f**9)\/((f*(f\/(f\/(f\/((f\/f**(-1))\/f*f))*f))\/f*f)\/f)**(2\/91)*((f*f**1)**42)**(-43) assuming f is positive.\nAnswer: f**(-330235\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f = 27 - 23. Let l(b) = -2*b - 34. Let u(a) = a + 34. Let r(k) = f*l(k) + 5*u(k). What is the first derivative of r(p) wrt p?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(216) + (sqrt(216) - -3*sqrt(216)))\/(sqrt(512) - (sqrt(512) - (sqrt(512)*1 + sqrt(512)))) + -3.\nAnswer: -3 + 15*sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round -3851932230 to the nearest 1000000.\nAnswer: -3852000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = -3 + 12*s**2 - 30 + 72 - 14*s - 13. What is the tens digit of h(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 18 - (-41)\/(5576\/(-2464))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2141616?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h = 57 + -61. Let t(f) = f - 2. Calculate t(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = l**2 + 55*l - 54. Suppose 23*v + 2072 = -14*v. Let y be f(v). Solve 3*w - y*w = 2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = -a**3 + 4*a**2 + 5*a - 5. Let f be v(5). Let t(i) be the second derivative of 32*i + 3*i**2 + 1\/2*i**3 + 0. What is t(f)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 32559 or -0.914?\nAnswer: 32559","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 644 and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 4\/1*2\/(-4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 484 (base 12) to base 5\nAnswer: 10201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Work out -63232.3 * 0.4.\nAnswer: -25292.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 c when two letters picked without replacement from mlryncr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-40)\/(-12))\/((-2)\/(-72)). Let z = x - 73. Suppose z + 13 = 3*k. Solve 6*d = d - k for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -9673 - 9676 + 13*p**2 + 19336 in the form r + l*p + f*p**2 and give f.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.05? (a) -150 (b) 1\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y be -12 + (896\/(-280))\/((-2)\/5). Let o(u) = 55*u. Let c(z) = -55*z. What is y*c(m) - 5*o(m)?\nAnswer: -55*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0 - 4 + 63*v**2 + 4 - 122*v**2 + 66*v**2.\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -135 and -0.2?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Multiply -7177 and 2.6.\nAnswer: -18660.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2\/8*(-212 + 219)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 102*s - 3*s**3 - 2*s**2 - 3 - 52*s - 52*s + s**4 to c*s**4 + n*s**2 + x + t*s + f*s**3 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = -6*d + 8. Let u(o) = o + 2. Let z be u(9). Suppose -z*a + 21*a = -90. Let k(y) = -13*y + 17. Calculate a*c(j) + 4*k(j).\nAnswer: 2*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 5 and 245.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 2, q: 2, m: 2, l: 3}. Give prob of sequence fl.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:16 AM and 1:16 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = 9 + 3*k + 7 - 2*k. What are the prime factors of i(-10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v - 1187 = -5*k, 0 = -5*k + 6*k + 2*v - 241. Solve k*n - 232*n + 12 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 24643*p**3 + 16*p - 1689904.\nAnswer: 73929*p**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 177297 is divided by 17728.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = 277*y**2 + y - 1. Let x be l(1). Suppose 3366 = -16*v - v. Let w = x + v. List the prime factors of w.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 9196*f - 102195 + 1039 = 0 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -612674, -612552, -612430?\n\"Answer: 122*o - 612796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = 64*d - 395. List the prime factors of t(86).\nAnswer: 3, 13, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -g - 1276*y + 1271*y = -232, -103 = 3*g - 2*y for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 60239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round 3559222.48 to the nearest one thousand.\nAnswer: 3559000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5390318788?\nAnswer: 2, 241, 5591617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 287 and 21?\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w be 81\/(-7 + 1589\/224). Let j = -6052\/7 + w. Which is the closest to 4? (a) -4 (b) 0 (c) j (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in 2, 4.3964, 3, -26?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*n = -4*p - 12*n + 26136, -n = 4*p - 26133. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l - 1 = -3*l. Let b be (0 + l + -3)\/((-81)\/(-5346)). What is the common denominator of 93\/26 and 2\/5*1770\/b?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 3 + 3)*(4*t + 3*t - 4*t) - 2*t - t - t - 41*t + 553*t - 33*t.\nAnswer: 481*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 136 minutes before 6:01 AM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -16034077119 + 15*p**3 + 16034077119 + 2*p**2.\nAnswer: 15*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 197989 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -12, -9, 4, 33, 84, 163, 276, 429?\nAnswer: 628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {i: 2, p: 2, m: 1, j: 1}. What is prob of sequence jmi?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q = -23.38 - -20.38. Let v be -2*(-18)\/(-4) + 2. Let s = v - -5. Sort s, 0.1, q.\nAnswer: q, s, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7340 is divided by 3617.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose v + d = -2*d + 13, -9 = -3*d. Let w(i) = 3*i - 8. Let h be w(v). Suppose -h - 6 = 2*z. What is z rounded to 0 decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((d**(-14))**(3\/13))**(1\/38))**(-50) assuming d is positive.\nAnswer: d**(1050\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 109\/8346 and -11\/4?\nAnswer: 16692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 1d7 - 88?\nAnswer: 14e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -0.4 plus 2.32?\nAnswer: 1.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 10977769 to the nearest integer?\nAnswer: 3313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 918 at least 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = -b**2 - 24*b - 14. Let x be a(-14). What is the tens digit of (-28)\/x - ((-2112)\/(-27))\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -30210 divided by 159\nAnswer: -190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 m and 1 j when three letters picked without replacement from mmmmmmmmmmjmmmmmmj?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 13*n + 119 = -s, 3*s - n = n - 8*n + 2*n - 182 for s.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 571.908376 - 18?\nAnswer: 553.908376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = -1 - j**3 + 3 + 5*j**2 + 4 + 0*j**2. Suppose 0 = -3*f + 16 - 1. Calculate y(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 3 * 4549.8\nAnswer: 13649.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nschqch. Give prob of picking 1 q and 1 h.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m = -69 + 214. Let q = m + 175. Let l be (-1 - -3)\/(944\/18880). What is the highest common factor of l and q?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = 5*f**4 - 5*f**3 + f**2 - 5. Let y(m) = -5*m**4 + 4*m**3 - m**2 + 4. Let j(b) = 4*n(b) + 5*y(b). What is the third derivative of j(p) wrt p?\nAnswer: -120*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0 - 0.1. Let u be 6\/(-8)*(-20)\/(-25). Which is the nearest to s? (a) -0.1 (b) u (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j = 3*i - 497 + 46, 2*i + 4*j - 298 = 0. Suppose -10*l + 80 = -5*l. What is the remainder when i is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*g - 160 - 56 = 0. Let j = 36 - g. Suppose -3*l + 4*l - 24 = j. What is the smallest common multiple of l and 14?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 87959*q**3 - 18946*q**3 + 380912*q**3.\nAnswer: 449925*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2283 = -4*m - 115. Suppose 4*i - m = -26. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30 = -4*j - 4*a - a, 5*a = -j + 15. Sort j, 0.1, 2, 0.01 in increasing order.\nAnswer: 0.01, 0.1, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 134.4 - 127. Let z = 1.01 + -8.31. Let u = k + z. Which is the nearest to u? (a) 5 (b) 1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from zlrrrrccrtzr. What is prob of sequence zczl?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*g = -3*b - 2, 3*b + 232 = -g + 225 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1\/(5 - 4) - -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) be the first derivative of -l**3\/3 + 127*l**2 + 512*l - 2928. Determine u, given that w(u) = 0.\nAnswer: -2, 256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = -t + 9. Let m be n(5). Solve m*c + 19 = -1 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-4)\/6*(-42)\/(-4). Let u = m - -9. Is u at least as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kqyo when four letters picked without replacement from {p: 4, y: 1, q: 1, o: 2, k: 3}?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 3307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*f + f + 2*q - 1, -3*f + 5 = -q. Suppose -3*t = t - 140. Let u be (-160)\/t - (-3)\/(-7). What is the nearest to f in u, 2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 4\/9, -2, 0.5, 26\/15, 5?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) be the first derivative of r**7\/35 + 3*r**3\/2 + r**2 + 11. Let q(s) be the second derivative of t(s). What is the first derivative of q(g) wrt g?\nAnswer: 24*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is i in -5*i**5\/2 + 150*i**4 - 1835*i**3\/2 - 600*i**2 + 3710*i = 0?\nAnswer: -2, 0, 2, 7, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -33\/394, 1\/2, -1\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c be 29*(-6)\/(-21) - (-2)\/(-7). Let a be 3 - (-3)\/(6\/c). Let v(g) = g**2 + 7*g - 4. Let m be v(5). Calculate the highest common divisor of a and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 893, 902, 923, 962, 1025?\nAnswer: 1118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = -32 - -32. Suppose 6*k - 4*k = a. Solve -x + 3*q = -2*x + 7, k = -2*x - 3*q + 5 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 5, r: 1, n: 7}. Give prob of sequence rl.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 196227503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 180, -4, 15.\nAnswer: -4, 15, 180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -2 = -2*u - 4*c + 8, 4*u = c - 7 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = -i**2 - 23*i + 5. Calculate the lowest common multiple of 9 and y(-19).\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 x, 1 t, and 1 r when three letters picked without replacement from clltrlclx.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2 + -8. Let y = w - -9. Suppose 5*n - 5*j = 60, y*n + j + 15 = 47. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 170385 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 p = -437 - -436.797. Let k = p + 0.136. Let j = -0.07 - k. What is j rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (1 - 2 - 2 + (1 + 1 + 0)*(-3 + 3 + 2) + 1 + 2 - 2 + 0 - 3 + 4)*(-8*d - 69*d + 14*d) in the form p*d + m and give p.\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x = 13\/7 - 2. Let d = -0.2 + 0.1. What is the closest to 1 in d, -5, x?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -x**3\/3 - 1739*x**2\/3 + 2323*x - 1743.\nAnswer: -(x - 3)*(x - 1)*(x + 1743)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -1472*t**3 - 3*t + 819?\nAnswer: -8832*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -123151, -246309, -369467, -492625, -615783, -738941?\nAnswer: -862099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = -10 + 393. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-2)\/(-8) - 711\/36. Let h = n + 19. Which is bigger: h or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 12313\/11 - (-4 - (-30)\/5). Let p = s - 1116. Let v = 23\/33 - p. Which is the closest to -0.6? (a) 0.1 (b) 3\/2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*y = -5*y - 143. Let x(i) = -6*i**2 + i + 1. Let v be x(-1). Let f = y + v. What is the greatest common divisor of f and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 1, 73663, -2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r be 14\/(-77) - 1524\/(-33). Calculate the highest common divisor of r and 368.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 185644789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.1, -646, -0.2 in decreasing order.\nAnswer: -0.1, -0.2, -646","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4072*i - 4072*i + 123*i**2 - 125*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 94734661?\nAnswer: 7, 71, 190613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = -q**3 + 41*q**2 - 670*q + 38247. Calculate c(45).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m = -34144723\/180 + 189692. Find the common denominator of 73\/210 and m.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2578?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -5632, -45069, -152108, -360553, -704208?\nAnswer: -1216877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = 5*z**2 + 144*z - 4. Let y(t) = 21*t**2 + 648*t - 18. Let c(i) = -9*h(i) + 2*y(i). Let l(j) = 1000*j**2 + 2*j. Give l(c(k)).\nAnswer: 9000*k**4 - 6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:42 AM and 7:55 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -h**3 + 345*h**2 - 1694*h - 2040 = 0.\nAnswer: -1, 6, 340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -7 + (-4)\/(-7)*(-525)\/(-50)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = -80*i - 205. Let t(n) = -2*n + 5. Let x(w) = -r(w) + 6*t(w). Differentiate x(v) wrt v.\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2661, -2663, -2677, -2709, -2765?\nAnswer: -2851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = 16*p + 652. Let k be y(0). Suppose -168 = d - k. Is 11 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 118960601 to the nearest integer?\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -3, 0.218799, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(2\/7)*u)**(-2\/13)*(u**(-1\/3))**(-9\/13) assuming u is positive.\nAnswer: u**(3\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i = -3*r + 10, 2*i + 6*r = 2*r - 30. Let m(k) = 3*k**3 + 0 - 5*k**3 + 5 + 4*k**2 + 3*k**3 - 3*k. Give m(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00972010311 to five dps.\nAnswer: 0.00972","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 71*q = 68*q + 5*h + 16, 14 = 3*q - 4*h for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 67950, 133136, 198318, 263496, 328670, 393840, 459006?\n\"Answer: -2*p**2 + 65192*p + 2760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 391 minutes before 11:39 AM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 10 + 41 + -59 + (-1 - -38).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -63, -60, -57, -54, -51, -48?\n\"Answer: 3*v - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 4*c**2 + 4 - 4 - 254*c**2 - 58*c**2 + 226*c**5 wrt c?\nAnswer: 13560*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = 442*h - 52. Let j be m(18). Let w = j + -3121. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -5 and -0.0855374.\nAnswer: 0.427687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.0593 + 5.0593. Let z = 26.98 + -27. Let n = -0.12 - z. Put 3\/7, m, n, -3 in descending order.\nAnswer: m, 3\/7, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (0 - 2 + 1 + (1 - 1 + 2)*(-2 + 3 + 0))*((2 + 4 - 7)*(3 - 2 + 2) - 3 - 1 + 6 + 1 + 0 - 4)*(16*u**2 + 22*u - 22*u) as n*u**2 + b + a*u and give n.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put 19, -1304, -3 in increasing order.\nAnswer: -1304, -3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3727 is divided by 46.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = -o. Let u be (((-30)\/3)\/(-2))\/1. Let x(r) = 4*r. Let n(v) = u*d(v) + x(v). Let t(z) be the first derivative of z**3\/3 - 2. Calculate n(t(i)).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -23884 or -23886?\nAnswer: -23884","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) be the second derivative of v**4\/6 + 4*v. Let h(w) = 3*w. Determine h(k(b)).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-17)\/(-9) - 2)\/((-282)\/(-423))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*k + 0 + 0)*(-10 + 13 + 7).\nAnswer: 40*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -2\/11, 0, -44366 in decreasing order.\nAnswer: 0, -2\/11, -4, -44366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 324 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: Which is bigger: 2\/11 or -17707475?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -63*q = -322 - 182 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t = 24 - 12. Suppose t = 2*z + 6. Let i be 6\/4*(-2)\/5. What is the closest to 0 in z, -0.5, i?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-1)\/3)\/(1\/(-2)). Let o be (-3)\/15 + 2431\/2805. Which is the nearest to o? (a) -0.2 (b) -4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify a**2\/a**(2\/3)*a**(-3)\/(a*a**(-6)*a) assuming a is positive.\nAnswer: a**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = 9*l - 11. Let a(u) = 0 + 4*u - 1 - 4. What is 5*a(b) - 2*o(b)?\nAnswer: 2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is next in -6, 35, 120, 267, 494, 819, 1260, 1835?\nAnswer: 2562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -15, -3, 4, -5, -4 in decreasing order.\nAnswer: 4, -3, -4, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k*k\/k**(-1)*((k**3\/k)\/k)\/k*k*k**(4\/11)*k*k*k\/(k*k**(-2\/27)*k*k))**(2\/7) assuming k is positive.\nAnswer: k**(2636\/2079)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*g**2\/9 - 236*g\/9 - 464\/9.\nAnswer: -2*(g + 2)*(g + 116)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = l**2 + 58*l + 315. Determine q(-7).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s = 272\/805 + -6\/115. Let c be 1\/3*9\/1. What is the second smallest value in -3, s, c?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + 5*-4*sqrt(176))**2 + 3 + ((sqrt(66) - (-2*sqrt(66)*-5 - sqrt(66) - sqrt(66))) + sqrt(66) + sqrt(66))\/(sqrt(6) - -1*sqrt(294)).\nAnswer: -5125*sqrt(11)\/8 + 70419","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f be 3\/2*((-2)\/6 + 1). Solve -f = 3*x + 14 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.4, -0.2, 2, -3\/25, 1.2 in descending order.\nAnswer: 2, 1.2, 0.4, -3\/25, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0 or -14\/98411?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gg when two letters picked without replacement from {z: 3, g: 11}?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 7749058697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = -13609*j + 323. Is r(-16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -193\/43819200 and -137\/3360.\nAnswer: 306734400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.2 and -49703?\nAnswer: -9940.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y = -281608955.00004925 - -281609136. Let h = 181 - y. What is h rounded to 6 dps?\nAnswer: 0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = y**2. Let c(n) = -192*n. Calculate c(q(o)).\nAnswer: -192*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = -3*m + 23. What is the remainder when 408 is divided by j(-12)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2620219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a + 3*f = 1049, -3*a - f = -121 - 506. Suppose 2*b - 13 = -d + 15, -3*d - 5*b = -83. What is the highest common divisor of d and a?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 32 and 60592128.\nAnswer: 60592128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor 0 - 2\/7*s**3 + 0*s - 10\/7*s**2.\nAnswer: -2*s**2*(s + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.5 - 1.5. Suppose -3*w = 4*s - 17, -4*w + w = -5*s + 1. Sort 1, 2\/5, f, w in ascending order.\nAnswer: f, 2\/5, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 2944 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1221.5 - -1221.7. Let w = 0.3 + -0.6. What is the second smallest value in -2\/5, s, 15, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = m**2 - 6*m - 6. Let i be j(5). Let t(p) = -9*p**2 + 4*p + 2. Let s(u) = 5*u**2 - 2*u - 1. Let v(l) = i*s(l) - 6*t(l). Factor v(a).\nAnswer: -(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: (-8)\/9*(456\/228)\/(16\/6)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: (168\/(-196))\/((-3)\/2)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -1707*b*d**3 - 2*b*q + 2*d**3*q - 11*d**3 - 18*d*q wrt b?\nAnswer: -1707*d**3 - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u = 10369 + -10367.9646. What is u rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = 2*s**3 + s + 1. Let z(q) = -11*q**3 - 7*q**2 - 6*q + 1. Calculate 5*m(i) + z(i).\nAnswer: -i**3 - 7*i**2 - i + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert -3 (base 14) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f = 6*f + 12, 12 = -y - 4*f. Suppose y*q - 21 + 1 = 3*m, -5*q = 3*m - 25. Put 1, -18, m in decreasing order.\nAnswer: 1, m, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 50, -6, -5 in decreasing order.\nAnswer: 50, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 161\/870 and -119\/18650.\nAnswer: 1622550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f = -7 - -7. Let h(k) = -3*k + 27. Does 9 divide h(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-4*sqrt(12)\/sqrt(4))**2*3 - ((sqrt(33) - sqrt(99)\/sqrt(3))\/sqrt(11) - 2*sqrt(363)))*-5.\nAnswer: -720 - 110*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) be the second derivative of -y**4\/12 + y**3\/6 + 3*y**2 + 692*y. What is n(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = -92*n - 1301. What is g(-14)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put 8000, 2, 3\/14 in increasing order.\nAnswer: 3\/14, 2, 8000","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 3 + 1)*(-862 + 430 - 2207*z + 433).\nAnswer: -11035*z + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 42156142781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*b - 285 = -295 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 277 minutes after 2:15 AM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 10384 and 176?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f = -921\/14 - -137\/2. Suppose -5 = -i - 2, -3*u + 39 = 5*i. What is the common denominator of f and ((-6)\/15)\/(u\/730)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -10 (base 9) in base 16?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = -2*f + 17. Determine l(-6).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in seventeen halves of a century?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17 = -3*o + 5. What is the tens digit of (-104)\/o*1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 59\/76160 and 121\/4760.\nAnswer: 76160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-18 + 20 - 7476*v + 9327*v)*(-2 + 4 + 0).\nAnswer: 3702*v + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u = -2263.7 - -2264. Put 89, u, 3 in ascending order.\nAnswer: u, 3, 89","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*d**3 + 6*d**3 + 9*d**3 + (-2 + 8*d + 2)*(-4*d**2 - 4*d**2 + 3*d**2).\nAnswer: -25*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1537608005?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 6387782 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = -b**3 - 7*b**2 - 7*b + 8. Suppose 4*h = 5*h. Suppose 6 + h = -j. Let o be c(j). Which is smaller: o or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1286989?\nAnswer: 11, 79, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = -6*m**2 - 35*m + 192. Let z(c) = -3*c**2 - 17*c + 96. Let x(g) = 6*j(g) - 13*z(g). Calculate the remainder when x(6) is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -3 - -3. Let m = 3 - -5. Let q = m - 11. Which is the biggest value? (a) 4\/5 (b) q (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 2, l: 2, e: 10}. Give prob of picking 1 f and 1 e.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Work out -72 * -2.25.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (13\/13)\/((1596\/1288)\/(-57))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i be 42\/(-10) + 2\/10. Let u be i\/(-6)*(-4 + 7). Let m(n) = -2*n + u*n - n - 2*n. Let o(g) = -g**2. Calculate o(m(c)).\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 22047955 a multiple of 962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r = 2.42 + -2.47. Which is the smallest value? (a) r (b) -3 (c) -1\/6 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -87\/56 and -73\/4?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 1, 0.05, -1\/2, 351, -626, -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -1 (b) -256 (c) -1010\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) be the first derivative of 32*l**6 - l**5 - l**4\/4 - 521*l**3\/3 - 6*l - 2165. Find the third derivative of r(k) wrt k.\nAnswer: 11520*k**2 - 120*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = u + 9. Let a be n(-9). Let t(f) = -4*f + 1. Let i be t(-1). Suppose -4*d - s = -d - 26, 5*d - 40 = -i*s. Solve a = -2*k - k + d for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -61\/830 and -59\/11534842?\nAnswer: 57674210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m = -552 - -562. Solve -k - 15 = -m for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.11 + -32.11. Let z = 22418.6 - 22450.6086. Let t = l - z. What is t rounded to three dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 61507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express (10*y + 7*y - 19*y + 3)*(2 - 3 + 5)*(y - 2*y + 2*y) in the form v + b*y**2 + h*y and give h.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -124*m - 5*m**2 - 272*m - 6*m**2 + 396*m + 9*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 4 - -1*48\/(-14)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = -2*u**2. Let s(i) = -1451344*i**2. Determine k(s(t)).\nAnswer: -4212798812672*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -0.02 + -3.8642311\nAnswer: -3.8842311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2 - 2 + 2)*(34 - 115 - 89)*(5*f - f - 3*f)*(0 + 1 - 2) to the form g + u*f and give u.\nAnswer: 340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 569 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = -6*k - 9. What is the lowest common multiple of 26 and j(-2)?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 3\/7 in -0.38, -3, 37, -5?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = 3*j**3 + 6*j**2 - 10*j - 3. Let q be o(-3). Suppose q = 19*l - 43*l. Solve 3*z + m + l + 4 = 0, -m = 2*z + 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -872*j**2 - 927*j**2 + 170*j**2.\nAnswer: -1629*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 126320892 is divided by 247688?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**(-1\/2))**(-2\/37)*i**(3\/2)*i*i*i**(3\/2) assuming i is positive.\nAnswer: i**(186\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 7138 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q = -3 + 7. Suppose k = -q*m - 2, -m - 6 = 4*k - k. Suppose h + m + 3 = 0. Are -3 and h non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose x**4 + 3*x**3 - 154*x**2 = 0. What is x?\nAnswer: -14, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from llvyyyoobalyabobaova. What is prob of picking 1 a and 1 v?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify k\/(k*k**(1\/36))*(k**6\/k)\/k assuming k is positive.\nAnswer: k**(143\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5161603167?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(2\/9))**(-9\/5)\/((k*k**(1\/14)*k)\/k*k*k*k**(-5\/3)) assuming k is positive.\nAnswer: k**(-379\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert -d56cc (base 16) to base 13.\nAnswer: -247b93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = -52*t. Suppose 5*z + 4 = z. Is s(z) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = 2*m - m**2 - 2*m + 4*m - 3*m. Let r be x(2). Let z be r\/3 - 40\/(-42). Is -1 less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -167 - -170. Solve 4*t = -2*u + 20, 26 = 2*u + r*u + 2*t for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = 3*x**2 - 144*x + 65. Let w be d(47). Let j be 3\/((-18)\/10)*45. Which is bigger: w or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/3? (a) 59 (b) 0 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 1090*j - 31 = 1094*j - 3*w, j = 5*w - 29 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -66398, -132816, -199238, -265664, -332094, -398528, -464966?\nAnswer: -531408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = -299 - -306. What is the remainder when (3\/(-1))\/(1\/(-11)) is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00007326 to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 21304 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((y**(1\/8)\/y)\/y)\/y)\/y)\/y**18 assuming y is positive.\nAnswer: y**(-175\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z be (2\/2)\/(3 - 4). Let p(u) = -11*u**2. Let k be p(1). Is k\/4*4*z 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 4*b**3*x**3 - 43*b**3*x - b**3 + 2*b**2*x**4 - 3*b**2*x + b wrt x?\nAnswer: 24*b**3*x + 24*b**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p + 20 = 5*h, -2*p - 12 = -4*h - 4*p. Suppose 10 + h = 4*r. Suppose -43 = -4*q + r*b, -q - b = -0*q - 2. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(5) + (sqrt(15)*2)\/sqrt(3) - (sqrt(5) - sqrt(180)\/sqrt(9)))**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert 2dc5 (base 16) to base 15.\nAnswer: 3712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 3075029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b = 322.4142 - -2.0258. Let c = b - 319. What is c rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 33503 is divided by 571.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t - 4 - 12 = -5*l, 3*t = l - 1. Suppose 2*v + 20 = -y + l*y, 0 = y + v - 5. Solve -1 = -5*m - y for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = -2*c**2 + 102*c - 817. Let a be w(41). Solve 0 = -2*u - 5*f + 7, a*u + 14 = 2*f - 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*k + 7*k - o = 505, -12 = -2*o. Solve 10*l - 163 = -k for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.29 + -0.23. Let a = -0.51973 - y. What is a rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 67645275 is divided by 38.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 306112 is divided by 16099?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = 2*c**2 - 6. Suppose 0 = -5*l + 109 - 14. Suppose -h + l = -16. What is the remainder when h is divided by g(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = -2*j**2. Let w(s) = s + 184. Determine p(w(n)).\nAnswer: -2*n**2 - 736*n - 67712","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Multiply 2.0149 and 0.2.\nAnswer: 0.40298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does 23 divide 16473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand ((0*z + 2*z - z)*(5 - 1 - 1) - 2*z - 6*z + 3*z)*(1 + 17 + 11).\nAnswer: -58*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t\/(t**5*t)*t*(t**4\/t)\/t)**39*(t**(-7\/5)*(t\/(t**4\/t))\/t)\/(t*t\/(t\/(t**(1\/5)\/t))*(t*t**1)\/t) assuming t is positive.\nAnswer: t**(-418\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort -299, -12, -5 in ascending order.\nAnswer: -299, -12, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from aaaaakak.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round -8136828.75 to the nearest 1000.\nAnswer: -8137000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22*j = -17*j + 490. Suppose 0 = -3*r - 5*u - 686, 0 = 2*r + 5*u + 395 + 54. Let h = j - r. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:49 PM and 9:58 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:54 AM and 8:25 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 749461?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 47364824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 6 in 0.069, -0.1, 1, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + 2*sqrt(1872)*4*6 + 1 + (6*(3 + sqrt(13)) - (sqrt(156) + sqrt(156)*1 + sqrt(156) + sqrt(156))\/sqrt(12)).\nAnswer: 19 + 578*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 63489437?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round 3.65326 to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Work out 168603 * -48.\nAnswer: -8092944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 645.\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (10\/66)\/((-35)\/42).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*z + 3*z - 4*z + (5 - 4 - 2)*(4 - 2*z - 4) - 3*z + 12 - 12 + (-3*z + 5*z - 4*z)*(6 - 2 - 3))*(2 + 2 - 2).\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -49\/18 and -43\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand 232*y**4 + 4064 - 4064 - 2*y**4 - y**3 + y**3 - y**4 + 2*y**4 + y**4 + (-2*y**2 + 4*y**2 + 0*y**2)*(-2 + 2 + 2*y**2) + 6*y**4 - 3*y**4 - 2*y**4.\nAnswer: 237*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 2, w: 1, c: 1, z: 1}. What is prob of sequence fz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*j**3 + 102532*j**2 - 1286403330*j - 713686725864.\nAnswer: -2*(j - 25899)**2*(j + 532)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ngo when three letters picked without replacement from omwgn?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -33808*t + 31769*t - 136613 = 0 for t.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -42764622 - 120\nAnswer: -42764742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -302*r + 1194852 = 28*r - 5787288. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = 3366*k**3 + 7583*k**2 + 6*k. Let a(w) = 16831*w**3 + 37916*w**2 + 28*w. Let h(n) = 3*a(n) - 14*q(n). What is the third derivative of h(x) wrt x?\nAnswer: 20214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.68431 to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = -2*z**3 - 4*z**2 + 6*z + 4. Let t be y(-4). Let f = -40 + t. Solve 0 = 5*m + 2*g - 7, -2*g = -f*m - 0*g + 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ninnrrnrrn. What is prob of picking 1 r and 1 n?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 2 - -84?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h = 727471\/2473517 - -2\/145501. Let o be 16\/3 - 2\/6. Which is the third smallest value? (a) 1 (b) o (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.3 + -1.3. Let g = 0.685 + 2.315. What is the closest to -0.1 in g, f, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a + 5*a + 36 = 0. Let o be 2\/(-4) + a\/(-8). Solve 8*y - o*y = 20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 571*v**5 + 17*v**2 - 1 - 723*v**5 + 3 wrt v.\nAnswer: -9120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10521 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3524*4\/48 - 1\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f*f\/((f\/(f\/f**(2\/25)))\/f))**(-12) assuming f is positive.\nAnswer: f**(-876\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 = 3*s - 6. Suppose -s*h = -24 - 26. What is h rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose v + 12 = 7*v. Let j(f) = f**2 - f + 25. Let l be j(0). Suppose -5*d + 2*w + 10 = 0, -w - l = 4*w. Solve d*t + 8 = -v*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3906\/55552*(-64)\/(-12).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.03 + -0.83. Let z = 0.746229 + 0.053819. Let f = z + q. What is f rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000273478 rounded to seven decimal places?\nAnswer: -0.0000273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*g - 3*g = 0. Which is smaller: -3\/19 or g?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25*v + 215 = -135. What is the highest common divisor of 238 and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*z**4 - 112*z**3 - 3472*z**2 + 7360*z.\nAnswer: 4*z*(z - 46)*(z - 2)*(z + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1236)\/3399 + 84\/(-11)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10 - 24 - 433*f**3 - 120*f**3 + 42 - 8.\nAnswer: -553*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 7298428 to the nearest integer?\nAnswer: 2702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a = -3 + 1. Let u = 5 + a. Let x = 9 + -5. Calculate the remainder when x is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 487? (a) -8 (b) -2 (c) -6 (d) -4 (e) -3\/8 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor -q**2\/7 - 70806*q\/7 - 80912.\nAnswer: -(q + 8)*(q + 70798)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 1524\/127 + (-1907)\/158 and 77\/8.\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(sqrt(98) - (-3*sqrt(98)*3)**2) - ((-5 + sqrt(200) + -1 + sqrt(200) + sqrt(200))*-4)**2.\nAnswer: -69066 + 5795*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1.5 + -0.5. Let a = 6 + -5.9. What is the second smallest value in a, h, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 7, -4, 0, -26, -5 in ascending order.\nAnswer: -26, -5, -4, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -24349 = -10*t - 20*t - 25429 for t.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 686.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 45 + 45 = 3*k. Let t = k + -16. Solve -d - t = 4*g, 3*g = -5*d + 4*g + 14 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-h**2 + h**2 + 2*h**3)*((-2 - 2 + 2)*(1 + 2 + 0) - 6 + 1 + 4) + (0*h + h + 2*h)*(36 - 36 - 3*h**2) to f*h + u*h**3 + b + i*h**2 and give u.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -7, 2, -31, -76 in decreasing order.\nAnswer: 2, 1, -7, -31, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g = 85 + -49. Let h be (-2)\/9 - (-44)\/g. Let a(u) = 8 - 5 + 1 - h - u. What is a(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 2\/703, -0.4, 0, -0.5, -9, -11?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -290829*t**2 - 51020*t + 3 wrt t.\nAnswer: -581658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p be -1*(4 + -30)\/13. Solve 2*o + 13 = -3*d, 3*d = -3*o + p*d - 9 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (2\/(-3))\/(2\/6). Let q = -28802\/7 - -4115. Let z = -16.7 + 17.1. Which is the nearest to t? (a) q (b) -0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 4191078460?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t = 15.9 + -19.9. Let q = -0.98 - -1.38. Which is the nearest to -1? (a) t (b) 1\/2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 183149171?\nAnswer: 7933, 23087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = -i**3 - 4*i**2 - 2*i - 5. Let y be t(-4). Let z = y + -1. Let n = 0 - -4. Calculate the remainder when n is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 466 minutes before 6:15 AM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 50174282?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 22392816*t**3*w + 5*t**3 + 14966249*t**2*w + 7*w wrt t.\nAnswer: 134356896*w + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 18.3 * 23.7361\nAnswer: 434.37063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 82877?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -57 = -4*v - 5*c + 54, 4*c - 132 = -5*v. Suppose 0*y - 2*y - 5*u + v = 0, 0 = -2*u + 8. Solve i = -y*i + 15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = -s + 16. Let r be b(14). Let q(z) = z**2 + 3*z - 3. Let f be (-16)\/3 + (-6)\/9. Let h be q(f). Solve 3*w + h = -r*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 32.5 - 34.1. Is 0 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/2 of a gram in milligrams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -u**2 - 8*u + u + 7*u**2 + u as d + r*u + z*u**2 and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in twenty-one quarters of a kilometer?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 624 minutes before 12:58 PM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 w and 1 o when four letters picked without replacement from {o: 2, b: 4, m: 1, w: 3}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qcxj when four letters picked without replacement from cdxxdqcqcyqddycjxdqq?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = 13*p - 146. What is x(11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*i - 14 = -12*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 53002104.\nAnswer: 2, 3, 2208421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) be the second derivative of -r**3\/6 - r. Let o(i) = -6*i**2 - 3*i + 10*i - 7*i. Determine f(o(g)).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 120091965 divided by -8006131?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-160)\/8)\/(-2 - 0). Let y(p) = p**2 - 11*p + 14. Let g be y(s). Let m(b) = 2*b**2 - 4*b - 2. What is the units digit of m(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -10 - 11122120201211100?\nAnswer: -11122120201211110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from gjgggjgjdddgg. Give prob of sequence jjgg.\nAnswer: 21\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of 137535724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t = -5*t - 8. Let f = 3 + t. What is the derivative of f + v + 0 - 5 - 3*v wrt v?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 10063 + -3854134\/383. Is -1 not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-2)\/7 + 45992\/56 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1020?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.09 + -4.09. Let o = 1056\/7 - 151. Which is the third smallest value? (a) -2\/13 (b) u (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = -84*x**3 + 2*x**2 - x - 2. Is i(-1) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 16872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) be the second derivative of -g**5\/110 + 167*g**4\/33 + g**3\/33 - 334*g**2\/11 - 79*g. Let f(m) = 0. Calculate m.\nAnswer: -1, 1, 334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 6023\/1746 - 1\/194. What is the common denominator of 95\/102 and n?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 102*b + 1 = 101*b. Let m be (-154)\/(-12) - 1*b\/6. Let s(c) = 3*c + 7. Let d(t) = -6*t - 15. Give m*s(u) + 6*d(u).\nAnswer: 3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z = -22\/15 + 16\/15. Do -3\/2 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1832, -3485, -5108, -6701?\nAnswer: -8264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-4)\/(-8) - 10\/(-4). Suppose -7*z + 15 = -m*y - 4*z, -20 = y - 4*z. Which is smaller: y or 1\/200?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -105.71 - 1.29. Let d = 106 + b. Let z be ((-8)\/(-3))\/((-2)\/(-3)). What is the closest to 0.2 in d, z, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*u = -2*u + 84. Let n be (6\/(-5))\/((-170)\/25 - u). Which is the second smallest value? (a) n (b) -1\/2 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1\/(-10) + (-16)\/(-10)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put -0.276, 22\/3, 2, -1\/2, 1, 0.1 in ascending order.\nAnswer: -1\/2, -0.276, 0.1, 1, 2, 22\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*x = -5*x + 4*j + 11, 0 = -2*x + 5*j + 16 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor c**3\/3 + 437*c**2\/3 - 30685*c\/3 - 21804761\/3.\nAnswer: (c - 209)*(c + 323)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -34564 = 13*t - 14*t + 4*h, 69093 = 2*t - 3*h. Calculate the highest common factor of t and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 126*v**2 - 7*v + 318*v**2 + 4*v - 2 + 3*v in the form n*v**2 + z + q*v and give n.\nAnswer: 444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express -4159 - 4135 + a + 4600*a**3 + 8294 in the form k + s*a**3 + m*a**2 + v*a and give s.\nAnswer: 4600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l = 2 + -1.894. Let z = l - 0.12. Round z to three decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-54)\/(-5) - 3\/(-15). Calculate the greatest common divisor of i and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 4791, 9814, 15103, 20790, 27007, 33886, 41559?\nAnswer: 50158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -2301100 + 11331?\nAnswer: -2223103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -11035d (base 16) to base 15\nAnswer: -170568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -30.8131 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 20919649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*m = -17*m. Which is bigger: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k = -3*b + 54, -k - 3*b = -6*b - 2. Suppose -k = u - 21. Calculate the common denominator of -111\/10 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (6\/(-3))\/(-4)*(-5 + 109). Suppose -m*q = -49*q - 879. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2674405879?\nAnswer: 23059, 115981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Subtract 512844 from -16.\nAnswer: -512860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 1287078531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y = 5636 + -2971. Is 27 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = 10*m + 25. Calculate i(-6).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -1 * -0.29\nAnswer: 0.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = -57*x**3 - x**2 + 2*x. Let v be a(1). Let q = -95 - -153. Let h = q + v. Solve -4*t = -5*y - 0*t - 29, -3*y + h*t - 17 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (12576*r - 12576*r + 108*r**2)*(-4 + 3 + 4).\nAnswer: 324*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = -v + 19. Suppose -n + 3*b = -8, 564*b = 3*n + 560*b + 1. Determine k(n).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 2459066.7541 + -2458878. Let u = -188.6 + r. Round u to 2 decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-35)\/((-1330)\/988) - 1\/2*0. Solve -10*w - v = -23*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.079 - 70?\nAnswer: -70.079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m\/(m**(2\/3)*m))**(-31\/2)\/((m*m**(-2)\/m)\/m)**(-5\/2) assuming m is positive.\nAnswer: m**(17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wwwr when four letters picked without replacement from rwwwwrrwwrwrw?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 169287205 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 293 + 19 = 39*i for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*g + 21 = -3*m, 1152*m + 0*g - 111 = 2268*m - 1138*m - 3*g for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -422.96744 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = 373*j + 2935. Calculate f(-6).\nAnswer: 697","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 847994?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 2, v: 1, y: 2, c: 10, m: 2, n: 3}. Give prob of sequence sm.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) be the first derivative of 2*s**3\/3 + 591. Let x(z) = 4*z - 6. Let v(y) = -45*y + 65. Let d(t) = -6*v(t) - 65*x(t). Determine o(d(f)).\nAnswer: 200*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1\/34 - -8\/17. Let f = 128 + -131. What is the closest to 0.1 in k, -2, f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 = -18*d + 16*d. Suppose d = s - 2*q, q - 50 = -5*s - 3*q. What is the first derivative of -5 + s + 2 - 5*n**3 wrt n?\nAnswer: -15*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = v - 4. Let w be i(2). What is the smallest common multiple of (-2)\/3 + 141\/9 and -1*(-198)\/9*(-1)\/w?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is five eighths of a milligram in micrograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 18.6*39824.\nAnswer: 740726.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6 divided by -3512729.\nAnswer: 6\/3512729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = -j**3 - 12*j**2 + 26*j - 18. Let v be c(-14). Solve -5*m = -v*m - 25 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q + 2*h + 4 + 8 = 0, -5*q + 3*h - 4 = 0. Let v be q\/(2\/4 - 1). Solve -3*g + 0*g + 23 = -v*x, -2*x = -5*g + 29 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -345, -366, -383, -396, -405, -410?\nAnswer: -411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 + 3*o)*(-4 - 3 + 6) - 1301*o + 735*o - 1694*o.\nAnswer: -2263*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l - 14 = 3*r, l + l - 4*r = 0. Solve -l = 5*p + 11 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) be the first derivative of q**2\/2 + 4*q - 4. Let v be l(-3). Find the first derivative of 1 + v + 0*n**3 + 3*n**3 wrt n.\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 3.4905906 hours to weeks.\nAnswer: 0.020777325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*v + 3*v + 0*v)*(v**2 - 2*v**3 - v**2) + 3*v**4 + 2*v**4 - v**4 + 1 - 2*v**4 + 1 + 3*v**4 + (-4*v**2 + v**2 + 0*v**2)*(-v**2 - 3*v**2 + 5*v**2).\nAnswer: 6*v**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 14219036 or 156409398\/11?\nAnswer: 156409398\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000022299 rounded to 7 decimal places?\nAnswer: -0.0000223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = -4*k + 6*k. Solve 0 = -k*i + 1 - 10 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = 2*p + 18. Let m(z) = -z - 1. Let h(r) = -7*r - 6. Let s(u) = h(u) - 6*m(u). Give g(s(b)).\nAnswer: -2*b + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g = 3*v - 6*g - 21, 4*v + 4*g = 28. Let a(p) be the first derivative of -v*p + 0*p**2 - 33 + 17\/3*p**3. What is the first derivative of a(t) wrt t?\nAnswer: 34*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 3356142, 3356141, 3356140, 3356139?\n\"Answer: -i + 3356143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = 2 + 4*s**2 + s**2 + 0*s**3 - s**3. Suppose -3*l + 5*j + 10 = 0, 2*j = 1 + 1. Let i be v(l). Calculate the greatest common divisor of 18 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1221101122 (base 3) in base 4?\nAnswer: 21110303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 divided by 866.\nAnswer: -2\/433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -14212*n**4 + 2*n**2 + 1245807.\nAnswer: -56848*n**3 + 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose f = -2*s, 0 = -2*f + 262*s - 264*s + 6. Solve 0 = -7*b + f*b + 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} {"text":"Question: Let k = 253.7 + -254. Let l = -9 + 4. Which is the nearest to 0? (a) k (b) 0.09 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 117 - 117.4. What is the third biggest value in d, 4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 1, e: 6, f: 10}. Give prob of sequence eeff.\nAnswer: 45\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 106*k**4 + 108*k**2 + 54*k**3 - 34*k**3 - 56*k**4 - 22*k**4 wrt k.\nAnswer: 672*k + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = -s**3 + 11*s**2 - 20*s + 20. Let t be x(9). Solve 4 = 3*v - t*b - 9, -27 = -5*v - 2*b for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 6\/(-33) - ((-794)\/11 + -1). Suppose -3*x - 32 = 58. Let h = w - x. Calculate the remainder when h is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 14 and 610.\nAnswer: 4270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6\/(-4)*((-140896)\/111)\/(-68)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 45, 205, 565, 1125?\n\"Answer: 100*k**2 - 140*k + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -1ad0 (base 15) to base 12\nAnswer: -3450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1780271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0 + 2 + 0)*(0*s - 2*s + s) - 3*s - 9 + 11 - 5 to d + b*s and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = -1859*g - 3716. Let m be y(-2). Put m, 12, -4, 19 in ascending order.\nAnswer: -4, m, 12, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.28 + 9940.\nAnswer: 9940.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -8548\/25, -0.7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 92*l - 186559 - 3237. List the prime factors of l.\nAnswer: 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*l**2 + 154*l**2 - 64*l**2 + 1474*l**2 + 1699*l**2.\nAnswer: 3268*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = -54*b**2 - 4*b + 7. Let l be q(-3). What is l rounded to the nearest ten?\nAnswer: -470","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 13422770935 and 0.4349.\nAnswer: 13422770935.4349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a + 10 = -5. Suppose 3*x + 2*v = 2, -a*x - 2 + 17 = v. Which is greater: 9 or x?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 324 and 18?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = -10*g**2 - 26*g + 6. Let o(z) = 2*z**2 + 5*z - 1. Let t be (36\/(-15))\/(-2)*5. Suppose t*f + 103 = 7. Give f*o(i) - 3*x(i).\nAnswer: -2*i**2 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*5*(2*sqrt(3))**2.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p = 0, 0 = -2*a + 5*p - 24 - 6. Let q = -27 - a. Let j = -9 - q. Solve -5 + 11 = -j*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x - 4711 = -4*q, 0 = 2*x - 5*q + 842 - 2700. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = -s**2 + 57*s + 5974. Calculate the lowest common multiple of c(-53) and 81.\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1855, 1857, 1859, 1861, 1863?\nAnswer: 1865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 125681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.971 - -0.029. What is the nearest to h in -0.2, 2\/5, -1\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 6, 5, -3.3, 3 in decreasing order.\nAnswer: 6, 5, 3, -3.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b = 69 + -66. What is the units digit of b\/(12*(-1)\/(-1996))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) be the second derivative of -a**4\/12 - a**3\/3 + a**2 - 159*a. Calculate m(4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 50026?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -5*b**2*p*v - b**2*p + 6*b**2*v**2 - 2*b*p**3*v**2 + b*v - p**3 wrt v.\nAnswer: 12*b**2 - 4*b*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*y**2\/2 + 4445*y + 3951605\/2.\nAnswer: 5*(y + 889)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 4 + z**2)*(480 - 791 - 514).\nAnswer: -825*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000732 to five dps.\nAnswer: 0.00073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3087*u + 3095*u - 9291*u + 3116*u.\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = s - 4. Let f(l) = -3. Let d be 6\/4*88\/(-33). Give d*f(t) + 3*h(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Does 53 divide 142305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -4 divided by -2514?\nAnswer: 2\/1257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 3591 divided by -63?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 41\/10 and 56\/39.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 368.1424l?\nAnswer: 368142.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 x, 1 w, and 1 i when three letters picked without replacement from zzcicwx.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (-12*y - 3 + 3)*(-18 - 9 + 12)*((4 - 3 + 1)*(-3 + 2*y + 3) + 2*y + 1 - 1 + 3 + 2*y - 3).\nAnswer: 1440*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -291883*m**3 + 18*m + 2660.\nAnswer: -1751298*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -1126751*2\nAnswer: -2253502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-5 - -7 - 0 - 1) + -27 + 15.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -231, -461, -691, -921?\nAnswer: -1151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 572.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -15287, -15167, -15033, -14885, -14723, -14547?\nAnswer: -14357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = 11 - f**2 - 10 - 8 + 7. Let v(g) = -461*g - 2. Calculate h(v(l)).\nAnswer: -212521*l**2 - 1844*l - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 590503*u - 590087*u = 28288 for u.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {a: 4, j: 15}. What is prob of sequence jaa?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 5, -81, -29, -4, 0 in descending order.\nAnswer: 5, 4, 0, -4, -29, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u - 22 = -2. Let w be ((-6)\/u)\/(6\/156). Let b(h) = 27*h**2 + 2*h + 1. Let k be b(-1). What is the highest common divisor of w and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = 2*k**2 - 1. Let n be a(-1). Let j(h) = -6*h**2 - n - h**3 - 2*h + 1 + 3. Determine j(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = 7*y**3 - 5*y**2 + 7*y + 4. Suppose 22*n = 23*n + 3. Let j(m) = -m**3 - m**2 + 1. Let d(x) = n*j(x) + k(x). Find the second derivative of d(q) wrt q.\nAnswer: 60*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} {"text":"Question: Let o = -16 - -16. Let s be o + (2 + 13)*-1. Let k be ((-20)\/6)\/(10\/s). Solve 0 = k*r - 5*j - 5, 5*r - 2*j - 8 = -3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1113200 (base 4) in base 11?\nAnswer: -4231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 1 take away 44232?\nAnswer: -44231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express -65*l**2 + 2*l**3 + 2*l**4 + 26*l**2 + 44*l**2 + (7*l**3 - 5*l**3 + 21*l**3)*(-l - 2 + 2) in the form z + d*l + y*l**4 + k*l**2 + x*l**3 and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Does 74 divide 165245503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -13, -26, -61, -130, -245?\nAnswer: -418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in 217, 219, 221, 223, 225, 227?\nAnswer: 229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = -466*t - 12122. Determine q(-29).\nAnswer: 1392","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = 7*a**2 - 12*a - 26. Calculate z(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1 or 97\/1033?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j = -905\/4 + 226. Sort -3, j, 2, 1\/3 in ascending order.\nAnswer: -3, j, 1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 25*-4291\nAnswer: -107275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate (24\/2)\/((-245988)\/(-225489)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = -543 + 559. Suppose 0*s - v = 4*s, s = -5*z + 5806. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 - 8760398284\nAnswer: -8760398285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*u - 5 = 4*u + 4*r, 4*u + 5*r + 37 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4647460717.\nAnswer: 2957, 1571681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 189530 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w be 80\/12 + -6 + (-8)\/(-6). Suppose -w*o + 115 = 5*f, -2*f - 5*o - 12 = -37. What is the remainder when f is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 1535, 3109, 4727, 6395, 8119?\n\"Answer: n**3 + 16*n**2 + 1519*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) be the first derivative of -1\/2*b**2 + 0*b - 1. Let x(g) be the second derivative of 11*g**4\/12 - g. What is j(x(q))?\nAnswer: -11*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-4)\/14 + 188\/(-28). Let i = 19 - k. Find the common denominator of -89\/14 and (-15)\/10*i\/12.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = 137*k**3 + 20*k**2 + 32*k - 235. Is q(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(3\/16)\/(t\/t**(-41)))\/(t*t*t**(-1\/32)*t*(t\/(t\/t**(15\/7)*t))\/t) assuming t is positive.\nAnswer: t**(-10063\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is (((-4)\/(-9))\/4)\/(1\/(-21))?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 702448 is divided by 8416?\nAnswer: 3920","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 18 a factor of 8403327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = -8*i + 14 - i + 8*i. Let l be h(11). Suppose -4*c = -16, 5*m + c - 71 = -l*c. List the prime factors of m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be -1 + 4 - (-1)\/1. Suppose 3*w = 5*d - 25, -t - 23 = -d + 5*w. Suppose 0 = c + d*z - 4*z + 8, 5*c = -4*z + 30. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5*26733.\nAnswer: -133665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1652172 and 281388?\nAnswer: 1572","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q = 28.3 + -22.01. Let x = -10.29 + q. Which is the closest to -2\/5? (a) 9 (b) 1\/2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (58*f - 129*f - 66*f)*(80*f + 59*f - 81*f)*(-1 + 1 - 1).\nAnswer: 7946*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c be 4\/6 + 67\/3. Suppose 0 = 18*z - c*z. Solve u - 2*o - 11 = z, -2*o - 38 = -4*u - 12 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:45 PM and 6:52 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 1316364 + -5?\nAnswer: 1316356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*a - 20 = -5*y, -52*a + 49*a = -2*y + 14 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qgaqqqbqepqaabqaqgpb. What is prob of picking 1 a and 1 p?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y = -28 + 28. Let x be (-1)\/3 + 230\/6. Suppose 7 = -c - 3*u, -4*c + 4*u - 2 + x = y. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = l**3 - 2*l**2 - 9*l + 3. Let s(b) = 2*b**2 + 8*b - 2. What is -5*r(t) - 6*s(t)?\nAnswer: -5*t**3 - 2*t**2 - 3*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1196719671?\nAnswer: 3, 7, 56986651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -237954900 rounded to the nearest 1000000?\nAnswer: -238000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1492270 is divided by 497407.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = -3272*s**3 + 2515*s**2 - 10. Let u(b) = 1636*b**3 - 1257*b**2 + 4. Let v(y) = 2*o(y) + 5*u(y). What is the third derivative of v(k) wrt k?\nAnswer: 9816","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = -1329*g**2 + 10*g. Let p(b) = -b**3 - 7*b**2 - 5*b - 4. Let h be p(-6). Let m be c(h). What is m rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 173250703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 1019368153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} {"text":"Question: Let j = -3 - -12. Let s = j - 10. Put -2, -5, s in ascending order.\nAnswer: -5, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -1685, -1524, -1425, -1382, -1389?\n\"Answer: f**3 - 37*f**2 + 265*f - 1914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = -12*q. Let h = 239 + -235. Let j(s) = h*s**2 + 94 - 94. Determine c(j(y)).\nAnswer: -48*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = -q**3 - 8*q**2 - 5*q + 5. Let m(t) = 4*t**2 + 1. Let s(j) = -b(j) - 2*m(j). Give s(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) -3 (c) -1 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f = 14206 - 14210. Let y = 6.3 + -6. What is the third smallest value in y, 5, f, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = 3*d + 6. Let v be f(-4). List the prime factors of (1\/(-2))\/(v\/180).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -97, -357, 150.\nAnswer: -357, -97, 150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) be the first derivative of 3*j**5\/20 + j**4\/12 + 4*j + 4. Let r(i) be the first derivative of q(i). Find the third derivative of r(t) wrt t.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 165843663?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 2, r: 2}. What is prob of picking 1 l and 1 r?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 9173915 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 198 is divided by -30*(-19)\/((-285)\/(-50))?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is h in -2*h**5 - 7*h**4 + 10*h**3 + 17*h**2 - 26*h + 8 = 0?\nAnswer: -4, -2, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert -313 (base 10) to base 2.\nAnswer: -100111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 34402.\nAnswer: 2, 103, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 419 or 432?\nAnswer: 432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -2000 (base 3) to base 5\nAnswer: -204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*q + t = -75, -145*q - 156*q + 3*t + 65 = -306*q for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 27102*l**3 + 728*l + 14 wrt l?\nAnswer: 162612*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i = 11.0955 + -8.0955. Let o = 3 + -3. Which is the second smallest value? (a) i (b) -31 (c) o (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1131 and 27898.\nAnswer: 83694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = f**2 + 8*f + 1. Suppose 0 = 4*v - 0*v + 28. Let q be a(v). Let n(i) = i**3 + 6*i**2 - i + 5. Is 10 a factor of n(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (2\/6)\/((-2)\/(-30)). Suppose 5*j + 10 = 0, 0 = -i*h - 0*h - 5*j. Solve 3 = -g + h*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.01 - 5.99. Let k = q + 9. Is 2\/7 less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-575)\/100*56\/(-14)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(-1\/4)\/n)**(-2\/33)\/((n\/(n\/((n\/(n**(1\/5)\/n*n))\/n*n))*n)\/(n\/((n*n**(3\/2))\/n))) assuming n is positive.\nAnswer: n**(-367\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence de when two letters picked without replacement from {e: 9, h: 2, d: 6}.\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2 - -12) + (822 - 860).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Are 0.01 and 2\/1658269 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 53, 90, 131, 176, 225, 278, 335?\n\"Answer: 2*i**2 + 31*i + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = n + 5. Let c(z) = z + 1. Let q(y) = 2*c(y) - l(y). Let m be q(5). Put -3, -2, m in increasing order.\nAnswer: -3, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 209 + -95. Suppose -62*o + 60*o + 76 = 0. Calculate the highest common factor of o and i.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-61 - 1)*(-528)\/352.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 783 - 5433 = 93*z for z.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = -5*n**2 + 17*n + 13. Let d(w) = -14*w**2 + 50*w + 38. Let v(h) = -6*d(h) + 17*o(h). Suppose 687*k + 3343 = -2153. Determine v(k).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r = -4*x + 60, -3*x + 0*x + 4*r + 45 = 0. Suppose 0 = -5*v + v + 28. Suppose -v*d - x = -2*d. Let t(o) = o + 1. Determine t(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 445, 631, 829, 1045, 1285, 1555, 1861, 2209?\nAnswer: 2605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4 - 3*q**4 - q + 3 + q**3 + 295*q**2 - 292*q**2 to the form a*q**4 + s*q**2 + f*q + k + x*q**3 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in 1\/51, 2\/5, 4, -4?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o = -69374 + 69373. Let p(x) = x**3 - 5*x**2 - 7*x + 4. Let k be p(6). Sort o, k, -3, 10.\nAnswer: -3, k, o, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.22 - -1.12. Let f = w + -0.9. Let l = -4.02 - -0.02. Which is the third biggest value? (a) 2\/7 (b) f (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = -u**3 + 4*u**2 + 4*u + 12. Let v be z(5). Suppose 0 = -3*x + v + 17. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t + 147 = 5*x, -t = -3*x + 36 + 53. Suppose -s + x = -0*s - 2*v, -118 = -4*s + 5*v. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(26)\/sqrt(512))**2.\nAnswer: 13\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.98814 and 2022.\nAnswer: 1998.01908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 599 times -0.2?\nAnswer: -119.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = 37*b + 19. Give g(-1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose y + 0 = 2. Suppose -y = -0*o - 2*o. Let a be 3\/(3\/2) - o. What is the third biggest value in a, -0.2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-12 + 12 + a**2)*(-8 + 3 + 2)*(-3 + 4 - 7) in the form v + s*a + o*a**2 and give o.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 24921\/(-1404)*1*(-8)\/2.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 320287 divided by 320287\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in twenty-nine fifths of a kilometer?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence uet when three letters picked without replacement from {u: 2, e: 2, t: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 34322 + -1?\nAnswer: 34321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 27\/4 of a kilometer in meters?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 + (9 - 1) - (-40 + -7 + (60 - 12))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 387634378 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(3\/13)*w**(-11))**(-23)*(w**9\/(w\/(w*(w*((w\/(w*(w*w**1*w*w)\/w*w))\/w)\/w*w*w)\/w)))\/(((w\/w**(-1\/4))\/w)\/w*w)**(-17) assuming w is positive.\nAnswer: w**(13361\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 19631 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = l**3 + 3*l**2 - 2*l - 1. Let a be w(-3). Let q be (3*4\/(-20))\/((-1)\/35). Suppose -2*g - q = -23. Sort 2, a, g in descending order.\nAnswer: a, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = -846*y**3 - y**2 + 2*y + 2. What is the remainder when s(-1) is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.05608895+-1639\nAnswer: -1639.05608895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 40 and 7340?\nAnswer: 14680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert -bd23d (base 15) to base 9.\nAnswer: -1115684","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 9801*x - 9888*x - 165 = -2514 for x.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of -3*(-4)\/(-3) - -13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -18300 rounded to the nearest one thousand?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 4, -24, -4, 24, 235 in ascending order.\nAnswer: -24, -4, -2, 4, 24, 235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((f**(-2\/5))**(-5))**27)**37 assuming f is positive.\nAnswer: f**1998","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put 90, -3, -2, -5 in descending order.\nAnswer: 90, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -411*o - 19*o - 5182 = 84*o + 68320 for o.\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 139*j - 82*j - 559 = 1720 + 58 for j.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is (0 - 3\/(-6))\/(-2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Divide -849 by 12.\nAnswer: -283\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(-3*sqrt(2800)*1 - sqrt(2800)))\/((5*sqrt(180) - sqrt(20))\/((sqrt(100)\/sqrt(4))\/sqrt(5))).\nAnswer: 80*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -500471 or -500472?\nAnswer: -500472","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 38.7197 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = 5*z**2 + 6*z. Let i(u) = -2*u**2 - 3*u. Let g(b) = -7*i(b) - 3*w(b). Let h be g(3). Let s be (-3 - 1)\/(1 + h). Put 4, s, 2 in ascending order.\nAnswer: s, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = -152*c. Let v(m) be the second derivative of 45*m**3\/2 - 14614*m. What is v(p(d))?\nAnswer: -20520*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 1\/7 (b) -3\/5 (c) 86\/141 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -7\/167 and 55\/6.\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p = 3053576\/587 + -5202. Let a = p - -3508\/4109. Determine w so that -6\/7*w - 2\/7*w**3 + 2\/7 + a*w**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -116 and -22.2112061.\nAnswer: -138.2112061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = -28 + 12*t - t + 12*t**2 - 2*t - 10*t**2. Is k(-14) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -77 and 4.\nAnswer: -308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 15726984 and 9?\nAnswer: 47180952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (3795\/(-22) - 1\/2)*-1?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-6 + (-340)\/(-55) - 258\/(-33))\/(-2). Sort -29, -8, u in decreasing order.\nAnswer: u, -8, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -12557 + 12561. Solve 0*u - 8 = 4*u, -2*w - 6 = k*u for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3 in 2, -3, 1, 34?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 95537 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {y: 5, p: 9}. What is prob of picking 1 p and 2 y?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -99644*c - 15076 wrt c.\nAnswer: -99644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = -81*r**3 - r**2 - 9*r - 63. What is the ten thousands digit of c(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-17 - 6*g + 3*g + 4*g + (-1 + 1 - 3*g)*(5 + 5 + 5))*(-5 + 2 + 4) in the form y + u*g and give y.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*a - 6 = n + 13*a, -73 = 39*n - 5*a for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 1\/4058, 2, 0.1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 38*s - 64*s + 41*s + 2*s**3 - 5 to the form v + q*s + o*s**3 + p*s**2 and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22*j - 30 = -17*j. Let k be j\/(-18)*(-26)\/2*-3. Let w(d) = k - 10 - 3 + 4*d**2. Let x(p) = -5*p**2. What is x(w(f))?\nAnswer: -80*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u = 26 - 26.2. Suppose h - 2*d = 4*h + 16, 0 = -h - 4*d - 22. What is the nearest to 1\/4 in 3, h, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = -s + 7*s**3 + 69*s**2 - 5*s**4 - 40*s**2 + 0*s**4 - 9. Let m(n) = -n**4 + 2*n**3 + 7*n**2 - 2. Let w(i) = 18*m(i) - 4*z(i). Factor w(h).\nAnswer: 2*h*(h + 1)**2*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(-2\/9)*d**(3\/4))\/(d\/((d**(-9)*d)\/d)*d\/(d\/(d\/((d**(-16)*d)\/d))*d)) assuming d is positive.\nAnswer: d**(-917\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.11 - -0.56. Let u = l - 0.35. Let s = 28 + -27. What is the nearest to u in 1\/5, s, 7\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -q**3*z + 102*q**3 + 10219*q + 968068*z wrt z.\nAnswer: -q**3 + 968068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = v**2 + 10*v - 37. Let s be z(3). Let c(i) = -i. Let b be c(-3). Let f(j) = 4*j - j - 6*j**b + j**s - 2*j. What is f(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 28143764, 28143750, 28143734, 28143716, 28143696?\nAnswer: 28143674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:31 AM and 8:33 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = 2*f - 696. Let c(y) = 150*y + 2. Give d(c(j)).\nAnswer: 300*j - 692","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*r**3\/5 - 732*r**2\/5 - 736*r\/5 = 0.\nAnswer: -1, 0, 184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 116153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) be the second derivative of a**7\/70 + 3*a**6\/25 - 33*a**5\/100 - 3*a**4 + 10*a**3 - 408*a. Solve f(n) = 0.\nAnswer: -5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = -6*q. Let a(j) = -72*j**2 - 2. Give a(g(x)).\nAnswer: -2592*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Work out -21.6 - 199.\nAnswer: -220.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 2, l: 1, b: 2, a: 1, e: 8, n: 1}. What is prob of picking 2 b?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -402500 divided by 460.\nAnswer: -875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = 4*p. Suppose 0 = -8*n + 15*n + 7. Let o(c) = c**2 + 20*c - 3. Let f(d) = n*o(d) + 3*v(d). What is f(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be -2*7\/98 - 18\/(-105). Which is the closest to x? (a) -0.3 (b) 5 (c) 0.1 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 573 - 567. Solve j = 5*g - 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:11 PM and 12:06 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is ((5\/(-35))\/(22*(-18)\/(-42)))\/(40\/(-220))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2)\/16 - 715\/104.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-1 - -2)*(-2)\/2. Let v be 1 - (2 + -1)*k. Suppose -t = -3*t + v. Put t, 3, -5 in decreasing order.\nAnswer: 3, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -91025, -91157, -91369, -91655, -92009, -92425, -92897, -93419?\n\"Answer: s**3 - 46*s**2 - s - 90979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 69 minutes before 10:04 PM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 0.49 * -4\nAnswer: -1.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = 4*r + o, 3*r - 32 = -r - 4*o. Let k(c) = 4*c - 5*c - 14 - 9 + 6*c. Let s be k(5). Solve -s*i = 2*i + r for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -90849, -90821, -90793, -90765?\n\"Answer: 28*c - 90877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 35, 73, 143, 245, 379, 545?\nAnswer: 743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = 959\/349 - -3\/1396. Find t such that -1\/8*t**5 - t**4 - 9\/8*t - c*t**3 - 3*t**2 + 0 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -9 - -19. Suppose -5*n = 15 - i. List the prime factors of ((-10)\/(-1))\/(n\/(-4)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 17, 2, 138, -5, 6.\nAnswer: -5, 2, 6, 17, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Add together -237933 and 211853.\nAnswer: -26080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express 3*r**3 + 47 + 2*r - 14 - 35 - r**2 in the form k*r**3 + s*r**2 + p*r + t and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -411 - -23402?\nAnswer: 22441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h = 13714 + 2477. Does 85 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = -z**3 + 3*z - 1. Let d(j) = -j + 1. Determine 3*d(b) + t(b).\nAnswer: -b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 63 divided by 5?\nAnswer: 63\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = 3*a**2 - 2*a + 1. Let x be t(2). Suppose -3*o + x + 0 = 0. Is o bigger than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 396248 is divided by 317.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h = -7660 + 10893. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -4365, 4\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 14902 is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = p**3 - 12*p**2 + 23*p - 10. Let g be h(10). Let x be (0 - -1)*-4*g\/(-16). Solve -25 = -4*n - x for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -1 + 11103?\nAnswer: 11102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -0.031 (b) 1\/2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + (sqrt(18) + (sqrt(18) - (sqrt(18) + sqrt(288))))\/sqrt(6).\nAnswer: -3*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-b + 0 + 0 + (-3*b + 2*b + 0*b)*(-1 + 0 + 0) - b + 2*b - 7*b)*(-9*b - 17*b + 8*b).\nAnswer: 108*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -16 + ((48 - 86)\/(-38))\/(16\/278).\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) be the second derivative of -y - 1\/6*y**3 + 0*y**2 + 0. Let w(p) = -p**2 - 2*p. Let s(i) = -i**2 - 3*i. Let x(l) = 2*s(l) - 3*w(l). Determine c(x(n)).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does 1095 divide 5110392375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 218300.\nAnswer: 2, 5, 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -4, -28, 0, -206, -40.\nAnswer: -206, -40, -28, -4, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g = -411 + 416. Calculate the remainder when ((-150)\/5)\/(-1) + (-2)\/(-2) is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 99*m - 143*m + 5296 = 287*m for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v be 1*(-1)\/(-2)*0. Let z(s) = s**2 - 2*s + 3. Let h be z(v). Let q(m) = 4*m**2 + m + 8. Does 5 divide q(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = 16*y**3 + 2*y**2 - 20*y + 9. Let f be j(7). Suppose 0 = 42*n - 47 - f. Calculate the remainder when n is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 230607287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round -0.013044 to 4 dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 7364836 and 5214908.\nAnswer: 8884","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 2153704 divided by -538426?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) be the second derivative of b**4\/12 - 5*b**3\/6 - 2*b**2 + 3*b. Let a be y(6). Let m be 2*(1\/a + -1). Which is smaller: m or 1\/13?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v + 2*w = 42, v - 24 = -332*w + 329*w. Solve 24*h + 198 - v = 0 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 3 or 9\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 6736832 and 151341?\nAnswer: 6585491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.9686987 millennia to months.\nAnswer: 11624.3844","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} {"text":"Question: Rearrange 173 - 622*v - 95 - 78 to b + d*v and give d.\nAnswer: -622","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 67916899 <= 67916898?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 11 + (-175029)\/10660 + 9\/468?\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: (-1)\/((-996)\/(-42))*20*25\/(-875)\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.106, -1.5, -1\/7 in decreasing order.\nAnswer: 0.106, -1\/7, -1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 4518.857 centuries in years?\nAnswer: 451885.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 6392, 6393, 6394, 6395?\nAnswer: 6396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2*a**3*j**3 - 10*a**3*j - 18*a**2 + a*j**2 - 6*a*j + 44*j**3 wrt a?\nAnswer: 12*a*j**3 - 60*a*j - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 = -5*o + 2*m - 0, -o - m = 0. Let a(v) = 10*v**2 + 2*v - 2. Let r be a(o). Suppose 2*i + 3*i = r. Let b(z) = -2*z**2 - z - 1. Give b(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -7 + 0*w**3 - 2*w**3 + 1 + 5 - 3*w**4 + 2*w in the form r + l*w + y*w**2 + u*w**3 + g*w**4 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j = 3*y - 52, -3*y - 20 = 3*j - 50. Let w = -540 - -556. Let t = j + w. What is the greatest common divisor of t and 216?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -1257.65 to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) be the first derivative of 5*w**6\/6 - 32*w**5 + 2005*w**4\/4 - 12350*w**3\/3 + 18750*w**2 - 45000*w + 1170. Suppose z(m) = 0. Calculate m.\nAnswer: 5, 6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 49\/78 and 44\/195.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 353784 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = 88*p**2 + 12*p + 6. Let g(b) = -171*b**2 - 23*b - 15. Determine 2*g(f) + 5*t(f).\nAnswer: 98*f**2 + 14*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -29*k**2*u**3 - k**2*u - 85*k*u**3 + 28*k*u**2 - u**3 + 10 wrt u?\nAnswer: -174*k**2 - 510*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 13037057 to the power of 1\/2, to the nearest integer?\nAnswer: 3611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s + 3*f + 93 = -2*f, -s = 5*f - 93. Let m = -84 + s. Suppose m*r - 5*r = 220. List the prime factors of r.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -y + 7 = 4*u, 5*y - 5 + 30 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*y - 10*l = -2*l - 5*l + 2, -22*y - 2*l = 20 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -3 divided by 465927\nAnswer: -1\/155309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = 15*b - 34. Calculate c(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z be -1*(3 + -1)\/((-6)\/12). Let s(v) = 2*v + 1. Let g be s(2). Suppose -z*j + 8 = 0, g*b - 3*j - 259 = -0*j. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 3\/(-2) + 8*264\/(-128)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = -256*z**2 - 4351*z + 63. Calculate i(-17).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 5 (b) 15 (c) -1 (d) 2\/9 (e) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d = -510 + 572. Let r(n) = 13*n - 5. Let q be r(5). Find the second derivative of 9*u**2 - d*u - 47*u**2 + q*u wrt u.\nAnswer: -76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -6831, -13653, -20471, -27285, -34095, -40901?\nAnswer: -47703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4\/(-14) - 1656\/(-63) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 104*h = -312 - 1680 - 88 for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 125 and 30375?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 39116098429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(25) - -6*sqrt(25)*1)\/sqrt(5).\nAnswer: 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t = 0, 2*s - 3*t = -4 - 10. Is s > -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*n + 3*o + 15 - 11 = 0, 0 = -2*n + 4*o + 2 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 33037306 to the power of 1\/4, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -61*i + 53 + 128 + 124. Let z be -5 + (1 - 0) - 1. Which is the fourth biggest value? (a) i (b) -7 (c) z (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} {"text":"Question: Divide -149 by 15.\nAnswer: -149\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = 14117*t + 5903. What is the tens digit of m(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 21828 divided by -1819?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = 2. Let f(k) = 2*k - 1. Calculate -f(b) + 3*q(b).\nAnswer: -2*b + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q - 4*s = 100, -2*q - 3*s - 100 = -6*q. Let p = 43 + 40. Suppose 18 = -5*r + p. Calculate the remainder when q is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 3865, 31144, 105211, 249460, 487285, 842080, 1337239?\nAnswer: 1996156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(640) - (sqrt(640) - sqrt(640)*1) - sqrt(10))\/((sqrt(22)*2)\/sqrt(11)).\nAnswer: 7*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*b - 2*t - 110, -5*b - 13 + 113 = -4*t. Let k = -19 + b. Find the third derivative of 16*x**2 + 9*x**5 + 5*x**5 + x**k - 2*x**5 wrt x.\nAnswer: 780*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -5155326 or -5155325?\nAnswer: -5155326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19 - 13 = -4*q. Suppose -q*n + 15 = -5*n. Let w be 1\/3*(74\/(-7) - -11). Which is the third biggest value? (a) w (b) n (c) 9 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = 5*n + 20. Let m be (4\/64)\/((-2400186)\/(-1200088) + n). Let j = -7497 + m. Calculate the common denominator of -13\/20 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 63 is divided by 38?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -10a (base 11) to base 7\nAnswer: -245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -1.9 times -0.3\nAnswer: 0.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -64 divided by -64?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = -y**3 - 10*y**2 - 8*y - 895. Calculate t(-14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 28 and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + -1 + 4 + sqrt(1900) + 1 + -1)**2.\nAnswer: -40*sqrt(19) + 1904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of (8230\/15)\/((-6)\/(-9))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-6 - (-364)\/63)*(4 - 13). Which is smaller: r or 26\/11?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3092767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -4, 3, 6, 2 in descending order.\nAnswer: 6, 3, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j = 222 + -220. Let w(a) = -82 + a - j*a + 92. What is w(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2*(54\/(-4))\/(-3)*-1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -2 - -0.339511\nAnswer: -1.660489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -11084964 divided by 3694988\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = -8*d**3 + 8*d**2 + d + 2. Let s(k) = -k**3 - k**2. Let z(m) = p(m) + 6*s(m). Suppose 32 = 4*l + 40. Does 30 divide z(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) be the first derivative of 0*b**2 - 4\/3*b**3 + 0*b - 181. Let h(x) = 48*x**2. What is h(n(d))?\nAnswer: 768*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of -11 + 68 + 3*1.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 3 - 1)*(36676*d**4 + 2*d**2 - 36669*d**4 + 24*d**2).\nAnswer: -14*d**4 - 52*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 3 and 56964803?\nAnswer: 170894409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -146, -151, -156?\n\"Answer: -5*a - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1639413 divided by 3.\nAnswer: 546471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 12 - (8 + (-23 - -20))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = -c**3 + 87*c**2 - 108*c + 598. What is the tens digit of x(68)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -89.1 to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 o and 1 g when three letters picked without replacement from {o: 11, g: 5}.\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o be 45 + (9\/(-10) - (-3)\/(-30)). Suppose 4*a - 2*h = 162, -6 + o = a + 2*h. Calculate the smallest common multiple of a and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*o + 63 = -13*o. What is the common denominator of -81\/8 and 4172\/(-240)*2\/o?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1863, -7412, -16613, -29472, -45995, -66188, -90057, -117608?\nAnswer: -148847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = -72.3 + 71.3. Which is the second smallest value? (a) -2 (b) w (c) 82\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -889*s - 2*i + 80 = -894*s, -2*s - 23 = i. Let f(p) = -p - 41. Give f(s).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) be the third derivative of 13*q**8\/42 + 177*q**5\/20 + 789*q**2. Find the third derivative of o(b) wrt b.\nAnswer: 6240*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 8 + -8. Let c be (3 + -1 + -3)*-6. Let -c*f**2 + 1 + y + 4*f**2 - f = 0. Calculate f.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1 at most 1.3332?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/75? (a) 3\/4 (b) 2 (c) -6.5 (d) 0 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-2)\/(-1))\/((-25)\/5).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1 - -2. Suppose 159*q - 161*q = 2. Sort -2, q, x in descending order.\nAnswer: x, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = s**2 + 11*s + 30. Let u be p(-4). Suppose u*f = -13 + 7. What is the least common multiple of 30 and (16 + 5 + f)*(-10)\/(-6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -18.989 + 19. Let g = s - 4.011. Which is smaller: -5\/6 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = -253*z - 779. Let q(h) = -491*h - 1557. Let i(v) = 6*q(v) - 15*y(v). Find the first derivative of i(m) wrt m.\nAnswer: 849","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 474 minutes after 6:53 AM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 1\/2 (b) 4\/31 (c) -5 (d) 1\/5 (e) -0.5 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o = 4*o + 100. Let a be (-3)\/(26\/o - -1). Let p be 5\/2*8\/a. Is 2 not equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) be the first derivative of 5*f**3\/3 - f - 1. Let i be y(-1). Find the second derivative of -4 + 2*o**4 - o**i + 4 + o wrt o.\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 615258 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-3 + 3 - 1)*(1 - 1 + 2) + 4 - 2 - 3 - 2 + 1 - 1 - 1 - 1 + 1 + 1 - 8 - 7 + 1 + 2 - 5)*(-3*l - 5*l + 0*l) + 0*l - 2*l + 0*l + 2 - 3*l + 3 - 2.\nAnswer: 171*l + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) be the third derivative of 2*x**4\/3 - 23*x**3\/3 + 17*x**2. What is the hundreds digit of d(16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -32 - -32. Which is the closest to 2? (a) 0.3 (b) -2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 98815, 197632, 296451, 395272, 494095, 592920, 691747?\nAnswer: 790576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6747 is divided by 75.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate (16\/80)\/(44\/20 - 3).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t - 2*p + 3*p + 901 = 0, 0 = -2*t + 3*p + 463. Let l be (t\/40)\/((-4)\/(-30)). Suppose -2*z + 291 = 5*o, l = o + 2*z - 7*z. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = f**2 + 19*f + 27. Let h be o(-19). Suppose 5*j - h = -2*l, -5*l = 2*j + 6 - 21. Let z = 7 - -2. Calculate the greatest common factor of l and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*f - 6 = -5*p + 8*p, -7 = 2*p + f for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*p - s = 10, 0 = 476*p - 471*p - 3*s - 10 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert -67063 (base 8) to base 16.\nAnswer: -6e33","meta":{"dup_signals":{},"source":"numbers__base_conversion_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 smaller: 914 or 915?\nAnswer: 914","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**19*r**24*r**25\/r*(r*(r**(2\/5)*r)\/r)\/r)**(-1\/14) assuming r is positive.\nAnswer: r**(-337\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 133 - (-23 - (3 + (1 - (36 + -19))))?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 1631 + 5758 = -118*z - 703*z for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4*u**2 - u**2 + 3*u**2)*(-u + u - u + (7 + 4 - 5)*(-2*u + 2*u - u)) to the form x*u**2 + d + f*u + p*u**3 and give p.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = -2*h**2 + 25*h + 18. Let q be m(13). Suppose -q*p + 67 = 57. Suppose -5*l = 2*c - 951, -l + 195 = -0*l - p*c. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (0 - (-15 - 3))\/2. Let p(q) = 2*q + 7. What are the prime factors of p(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = m**2 - 117*m + 1434. What is s(15)?\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -30425, -30428, -30431, -30434?\n\"Answer: -3*m - 30422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 48\/14*((-231)\/(-2))\/11 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 7\/(42\/9)*-2. Is 0 - (j - -15)\/(-4) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) be the first derivative of -7\/3*a**3 + 1\/2*a**4 - 2*a + 64 + 3\/2*a**2. Give q(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 6*l**2\/7 - 1363540*l\/7 - 454514\/7.\nAnswer: 2*(l - 227257)*(3*l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -0.946562+18.11421\nAnswer: 17.167648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Are -49728 and -49731 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1088.046 - 1087. Let x = 0.943 + b. Let m = -0.011 - x. Sort -1\/6, m, -3.\nAnswer: -3, m, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 2178000 to the nearest ten thousand.\nAnswer: 2180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve h + 136 - 130 = -2*r, 4*h + 2*r = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 112.9462 years in months?\nAnswer: 1355.3544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 209 minutes after 7:40 PM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -21*d + 3. Let w be v(-2). Suppose -8*u - w = -11*u. Factor -11*q + 0 + 5*q**2 + u - 2*q - 7*q.\nAnswer: 5*(q - 3)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z = 12, -39*c - 3*z - 19780 = -41*c. Is 14 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f - 2*f + 9 = -n, -2*f = 3*n + 17. Let v be (-12)\/f*130\/(-39). Which is the nearest to 6? (a) v (b) -2\/11 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-5 - -8)*-1 - 17\/(-5). Sort -3\/7, -9, m, -5.\nAnswer: -9, -5, -3\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 398\/9, -0.1, -6, -5, 0.\nAnswer: -6, -5, -0.1, 0, 398\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r be -1*(-6 + 3 - 33). What is the greatest common factor of r and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-119)\/(-238) - (-172)\/8?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v = 4*d - 103042, -51541 = 65*d - 67*d + 3*v. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z + 0*z = -72. Calculate the remainder when 69 is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = 3*c**2 - 7*c + 6. Let m be u(2). What is b in 4*b**4 + 6*b**4 + m*b**5 - 3*b**5 + 0*b**4 = 0?\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -102 = -34*u + 68. Suppose 0*w - 2*w = 0. Suppose w*p + u*p - 65 = 0. Does 4 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.07037 + 67\nAnswer: 67.07037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 = -2*t - 3*j, 0 = -4*j + j. Let f be (t\/70)\/(1\/((-35)\/14)). Let r = -0.03 - -0.12. What is the nearest to f in r, 0.2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 1, o: 1, p: 1, f: 2, c: 2}. Give prob of sequence fpo.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -115793, -463212, -1042251, -1852916, -2895213, -4169148, -5674727?\n\"Answer: -u**3 - 115804*u**2 + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*q + 14*q - 7225 = 0. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -121 + 2013?\nAnswer: 1342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) be the second derivative of x**5\/20 + x**4\/2 - 84*x**2 - 4*x + 5. Let l(r) be the first derivative of z(r). Factor l(o).\nAnswer: 3*o*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -62*t**2 - 339*t + 206. Give b(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 479 minus 0.1?\nAnswer: 478.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: (3*(-4)\/48)\/(297\/216)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Do 46118 and -14\/39 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r - 5*b + 4595 = 0, r + 2 = -3*b - 921. Round r to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1 - -0.2767?\nAnswer: 0.1767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -4\/5 (b) 8 (c) 2\/7 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Does 70 divide 1\/2 - (-14 - (-217910)\/(-28))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + (sqrt(1900) - (-5 + sqrt(1900)) - sqrt(1900))**2.\nAnswer: -100*sqrt(19) + 1923","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3\/8 in -5, 10063, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*u = 4*m + 348 - 337, -5*m = -u - 10 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = -3*q, i = q + q + 67239. Suppose -z - 106215 = 4*z. Let l = z + i. What is l rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-206)\/412)\/(11\/4)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {v: 2, n: 5, r: 4}. What is prob of sequence nvrv?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 9746 and 6.\nAnswer: 29238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 37 is divided by (8 - -7)\/((-6)\/(-8))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 6, 20, 36, 54, 74, 96?\n\"Answer: g**2 + 11*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*m - 2118*m**3 - 966*m**3 - 60*m**2 + 121*m**2 - 61*m**2.\nAnswer: -3084*m**3 - 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k = -0*k + 60. Let p(i) = i**2 - 8*i + 8. Let o = -11 - -19. What is the remainder when k is divided by p(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 4 + 2 + (-3 - -2). Let l(b) = -4*b - b**2 + u*b + 6*b - 8. Determine l(8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 301014396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Add together -0.1 and 66.5.\nAnswer: 66.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p = -53 + 27. Let s = p + 18. Let t = 7.6 + s. Which is the second smallest value? (a) t (b) -6 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 879, 899, 945, 1029, 1163?\nAnswer: 1359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = -28*x - 2. Let u be m(-4). Let w = u + -57. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-9)\/(-12) + 9\/4. Let y = 0 - -6. Suppose -3*h = 4*r - y, 6 = 2*h + r - d. Calculate the highest common divisor of 42 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 319741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 1122554 (base 8) to base 2\nAnswer: 1001010010101101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify x**5*x**(2\/9)*(x**(-4\/5))**(2\/3) assuming x is positive.\nAnswer: x**(211\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3.5*0.018.\nAnswer: -0.063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 29\/3727 or -1?\nAnswer: 29\/3727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 508*s**2 - 508*s**2 - 28*s**3 - 61 + 61 - 34*s**3 + 58*s**3.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 284 a factor of 154888863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = -78*h - 1317. Give t(-9).\nAnswer: -615","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 16932491 at most as big as 16932491?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = 20*u + 6. Let h be 8 + (-3 - 2) + 2 + -2. What is the units digit of i(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -25372*f**2*l**2 + 170*f*l**2 - 124*l**2 wrt f.\nAnswer: -50744*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = -4*r - 1. Suppose -o - 9 = r*o. Suppose -50*u + 72*u = 4*k - 10, -3*k = u - 25. Put u, 2, -5, o in decreasing order.\nAnswer: 2, u, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 36 divide 3532680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = 2*q**3 - 3*q**2 - 3*q. Suppose -2*y + 79 - 13 = 0. What is the remainder when y is divided by l(3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-6)\/10 - (-843)\/5. Suppose 14*k = 15*k - 6, 3*f + 2*k - 60 = 0. What is the highest common factor of f and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Do -1 and -2\/5385 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m = 22 + -18. Let y = 12 - m. Calculate the highest common divisor of y and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 199, 191, 181, 169?\n\"Answer: -z**2 - 5*z + 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) be the third derivative of -8*q**7\/105 + 3*q**5\/10 - 17*q**2. Find the third derivative of x(z) wrt z.\nAnswer: -384*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-1)\/(-4) - 78\/(-8). Suppose -5*h + 10*h = s. Solve h = -j - 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 466155.\nAnswer: 3, 5, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is next in -827, -829, -831?\nAnswer: -833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round 8.0568141 to 1 decimal place.\nAnswer: 8.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-36)\/(-6) - 1) + 14. Calculate the highest common divisor of j and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in 0.08, 0.082, -1\/5?\nAnswer: 0.082","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1367 - -1278.7. Let j = q + 88.300754. Round j to 5 dps.\nAnswer: 0.00075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 22 + -22.9. Let r = -0.2 + 0.3. Let o = r - v. Which is the smallest value? (a) o (b) -4 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -9795886*k*o**6 - 9*k*o**2 - 2439302*k wrt o?\nAnswer: -1175506320*k*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) be the second derivative of 3*i**5\/20 - i**4\/4 - 3*i. Factor b(l).\nAnswer: 3*l**2*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 14 (b) 1\/2 (c) -1 (d) 3\/8 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1 - 0.9. Let o = 0.1 - a. Which is smaller: o or 7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + sqrt(12)\/sqrt(4) + -5 + (sqrt(75))**2 - (sqrt(363)*1 - (0 + sqrt(3) + -1)).\nAnswer: -9*sqrt(3) + 65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*p + 0*p + 5*p + (1 - 1 + 2*p)*(3 - 4 + 0) + 2*p - 3*p - p - 2*p + 4*p - p - 5*p + p + 2*p + 5*p - 3*p - 3*p + 16 - 16 + 252*p + 6*p - p - 4*p.\nAnswer: 248*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {c: 7, d: 7}?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m - 6 = 2*z - 18, 2*z - 42 = -4*m. Suppose -u - 4 = 4*l, -z = 2*u - 3. Solve 3*a - 15 = l, -4*k + 4*a + 0*a = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-2100)\/1*(9574\/(-6) - (-10)\/(-2)). Round b to the nearest ten thousand.\nAnswer: 3360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-21)\/105)\/((4\/(-25))\/(16\/40))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(1\/3))**(1\/7)\/(u*u*u**(-1\/3)*u*u*u\/u**(-1\/3)) assuming u is positive.\nAnswer: u**(-104\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-6*(sqrt(300) + -1))**2 + (2 + -1*sqrt(300) + sqrt(300) - sqrt(300))**2)*-5 + (-4 + sqrt(300) + -5 + sqrt(300)*-2 + sqrt(300))**2*5.\nAnswer: -55295 + 3800*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is (5558\/21)\/((-36)\/(-540)) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = -n**2 + 27*n - 19. Let p be d(19). Suppose 11*l - p + 56 = 0. Solve 0 = -3*f - l + 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4619371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2095.\nAnswer: 5, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1355622 is divided by 112938.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = -w + 1. Suppose -h - 18 = -4*h. Let k be (h\/4)\/(18\/24). Suppose 10*q - 11*q + k = 0. Determine p(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 6952\/19 - 366. Let l = 59 + -64. Which is the second smallest value? (a) 0.5 (b) l (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s*s**11*s**(1\/12)*s)\/(s**(-4\/5)\/s**0) assuming s is positive.\nAnswer: s**(833\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = 15*y**2 - 2*y - 17. Let r(l) = 7*l**2 - l - 8. Suppose -25 = -3*p + 8*p + 5*b, -p = 3*b + 3. What is p*x(n) + 13*r(n)?\nAnswer: n**2 - n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = -6*p**2 - 4. Suppose x = 4*x + 3. Let l(j) = -j**2 - j - 1. Let m(a) = x*u(a) + 4*l(a). Let m(y) = 0. Calculate y.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(693)\/(sqrt(11) - sqrt(11)*-1))\/sqrt(9).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b = -17 + 23. What is the tens digit of (-1)\/b*8 - -34?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.05*38\nAnswer: 1.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 948*f**2 - 273*f?\nAnswer: 1896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 7 + 4 + -15 + 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = f**3 - 19*f**2 - 44*f + 46. Let m be t(21). Solve i = m*p + 14, -3*p - 11 = -i - 1 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1880235?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1061\/3493 + 9\/499. Which is the closest to n? (a) 0.5 (b) -21 (c) -5\/2 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 656*s + 108993 = -1182*s + 26212 - 10957 for s.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -123301 (base 4) to base 16\nAnswer: -6f1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 4\/(-1) + (-702)\/(-169)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 84264 and 17592.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/7 in -5, -0.1, 885?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q be 1\/(-3)*-3*0. Let h be 6\/(6\/4 + q). Solve 0 = 2*n + h for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1 + -2. Let k be 7 + z + 0 + -2. What is the third derivative of 2*b**2 - k*b**6 + 0*b**6 + 3*b**6 wrt b?\nAnswer: -120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -0.03 (b) 2\/3 (c) -1\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f - 4*a = 1, -4*f - 4*a - 3 = -5*f. Let n be (f - -2) + 3\/((-3)\/(-3)). Suppose c = n + 3. Calculate the highest common divisor of c and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = -q + 19. Let n(o) = -2*o**3 - 10*o**2 - 3*o - 10. Calculate the smallest common multiple of n(-5) and m(11).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 26 - 22. Let d be (-2)\/b - ((-12)\/8 + 1). Suppose 2 + d = 2*h. Are 0 and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4.4103 rounded to one dp?\nAnswer: -4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o = 5*q + 43, 0 = 3*q + 10 - 1. Let p = -4 - o. Suppose -2*m - 2 = 0, -m + 1 = 3*s - 16. Solve -n = s - p for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 39 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3*p + p + 3*p)*(-3*p - 3*p + 4*p) - 3*p**2 + 0*p**2 + 2*p**2 - 87*p**2 - 19*p**2 - p - 28*p**2 to the form i + w*p**2 + m*p and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1991650.\nAnswer: 2, 5, 61, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x be -18*3\/1*(-54)\/81. Let y = x - 36. Let r be (-1)\/(7\/(-2) + 3). Solve r*a - 2 = -o - 2*o, o = y for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = -j**2 - 5*j + 98. Let o be a(-13). Let n(m) = -12*m - 18*m - 8 + 26*m. Calculate n(o).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 36 = 3*t + 27. Suppose -l - t*l - 12 = -3*k, 0 = 5*l + k - 4. Solve -3*x + 12 = -l for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 93 + -92 + (1 - 7)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/4 in -0.2, 4, 1\/152, 2, 5\/43?\nAnswer: 5\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t be (57\/2)\/((-15)\/(-20)). Solve 3*h - 41 + t = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 42589 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/2 in -0.8, -5\/3, -0.3, 1494, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -300 divided by 7\nAnswer: -300\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4488 is divided by 490?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 140639 a multiple of 221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 2 (base 7) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x - 3*a - 44 = -a, -4*a + 42 = 3*x. Suppose 5*d = 5*w - x, 0*w = 2*w - 6. List the prime factors of d - 0 - 0 - -5.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 1 + 0)*(-70131 + 70134 + 472*w - 43*w).\nAnswer: -429*w - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o\/o**(-2\/9))**(-7)*(o**(-1\/2)\/o)\/(o\/(o*o**(-5\/6)\/o*o))*(o*o*(o**(2\/7)*o)\/o)**(-1\/6)*o\/(o\/(o\/(o**8*o*o)))*o*o*o**(-2) assuming o is positive.\nAnswer: o**(-1277\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express (2*a - 2*a + 2*a)*(0*a - 3*a + 2*a) + (-2*a + 3 - 3)*(-6*a + a + 0*a) as l + f*a**2 + s*a and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 45909 to the power of 1\/2, to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence fgrh when four letters picked without replacement from rhvfbgb?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -2011022 (base 4) to base 14\nAnswer: -316a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*(sqrt(132)\/(sqrt(36)\/sqrt(3)) + sqrt(11)))**2.\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - 1 + 8)*(-3 - 13 + 24)*(-3*k + 6*k + 7*k).\nAnswer: 400*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*z + 39*z + 324 = 159 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-5)\/3 + 5995\/33. What is the highest common factor of 20 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -33 in 1, -1\/3, 0.2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = -w**3 - 10*w**2 - 6*w + 16. Let o = 2875 - 2884. Determine g(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10575166787 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -b37a69 (base 13) to base 7\nAnswer: -50406115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 126725*w**2 - 126725*w**2 - 804 - 2106*w**3 with respect to w.\nAnswer: -6318*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1001111100010 + -100010100?\nAnswer: -1010011110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t = 5.35 + -7. Let v = 0.15 - t. Let m = v + 2.2. Which is the second biggest value? (a) -0.1 (b) 3\/5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*k = 5*l - 22, 2*k - 115*l + 118*l - 13 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 181031948 to the nearest integer?\nAnswer: 566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1247, -1248, -1249, -1250, -1251?\nAnswer: -1252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*z - 3*b + 61254, 17407 = 3*z + 5*b - 43835. What are the prime factors of z?\nAnswer: 2, 3, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -460*f**2 - 14 - 28 + 68 - 46 to the form w + y*f**2 + h*f and give y.\nAnswer: -460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v = 35222\/7 + -5040. Let w = v - -559\/70. Let x = -40 - -35. What is the nearest to w in x, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-5 + (1 - -3))\/((-2)\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-10)\/25 + (-77)\/(-5). Suppose 6*w - 2*w + d - c = 0, -d = 3*w - 12. Solve -4*v = -w*v - 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 17 - 2 - 9 + 3*k**2 - 1 + 9*k.\nAnswer: 3*k**2 + 9*k + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -4 (b) -14\/3 (c) -0.4 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r + 1 + 39 = 0. Let l(y) = -2*y - 22. Let x be l(r). Let w(n) = -6*n + 10. Let f be w(x). What is the greatest common divisor of 22 and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -2 - -24. Suppose -4*g + 22 = -3*c + c, g = 0. Let x(d) = -10*d - 24. What is the remainder when x(c) is divided by a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = 2968*u + 98071. What is w(-33)?\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v = -51 + 53. Suppose 0 = -v*t + 10, f + 2*f + t - 11 = 0. Suppose -i + 10 + 11 = 2*c, -4*i + 64 = -f*c. Is 2 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 77 = -18*f + 203 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -25\/16522476 and -37\/3.\nAnswer: 16522476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z = 69 + -47. Let m(v) = -23*v**4 - 10*v**3 + 9*v**2 - 11*v - 11. Let l(g) = -g**4 + g**2 - g - 1. Let y(b) = z*l(b) - 2*m(b). Determine n so that y(n) = 0.\nAnswer: -1\/2, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*q = 3*p + 6, -4*p + 10 = 3*q - 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c + 6 = 4*u, -3*c + c + u = -16. Let o = c - 2. Suppose 2*a + 14 = -5*z + o, -21 = -3*a + 4*z. Is a a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = -7*w**3 - w**2 - w - 1. Let j be -6 - (1 + -4 + 3). Let i(o) = -o**2 - 8*o - 13. Let a be i(j). Calculate p(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -5739, -4297, -357, 7329, 20009, 38931?\nAnswer: 65343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = 11383\/5 + -1035533\/455. What is the common denominator of 71\/8 and z?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -54 + 70. What is the remainder when 111 is divided by s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -87 + 81. Let u be v\/30 + 4555\/(-100). Which is smaller: -46 or u?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*m**4 - 572*m**3 + 34122*m**2 + 968968*m + 5739272.\nAnswer: 2*(m - 154)**2*(m + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = -106*k. Let h(c) = 287*c**2. Give d(h(y)).\nAnswer: -30422*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = o**2 + 13*o + 36. Let w be n(-8). Let v = 4 + -4.1. Suppose 2*r - 4 = -0. Which is the second biggest value? (a) r (b) v (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -148*c - 51*c - 611*c + 5 - 593*c to p + m*c and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*(2 + -5*(sqrt(180) + -4 + sqrt(180)))**2.\nAnswer: -55452 + 7920*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = 333*v - 24075. Calculate a(72).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 175.37 times 0.1?\nAnswer: 17.537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1.8 - 26. Let l = 16 + m. Let q = 12 + l. What is the second smallest value in -0.8, q, -1?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 6*1 - (-2 + 5). Suppose -2*j = 4*r - 16, -2*r + 4*j = g*r - 46. Let m = r - 3. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = 45*u. Let m(b) = -2*b**2. What is q(m(d))?\nAnswer: -90*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:34 AM and 1:46 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = -3. Let l(f) = -2. Let a(o) = 2*l(o) - y(o). Let n(g) = -1 + g + 0 + 6 - 4. What is -2*a(u) - 3*n(u)?\nAnswer: -3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express -293*i**3 - 72*i + i**4 + 2*i**4 - 68*i - 75*i - i**2 + 213*i in the form m*i + z*i**3 + l*i**4 + c + d*i**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 5 = 4*j - 3*p + 4, -4*p = j - 24 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (48*t**2 - 27*t**2 + 13*t**2)*(-3*t**2 - 2*t**2 + 2*t**2) - 3*t + 3*t + 7*t**4 + t**4 - t**3 + t**3 to f + m*t**4 + y*t**2 + u*t + i*t**3 and give m.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express -5*p**3 - 1 + p**2 + 2*p**4 + 2 + 0 + 4*p**3 in the form i*p + s*p**2 + l*p**3 + k*p**4 + u and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express -3 + 3 - 2*q + (-1 + 2 - 3)*(0*q + 2*q - q) - 4*q + 5*q + 0*q + 6 - 6 - 4*q + (-q - 5*q + 4*q)*(-20 - 3 - 24) as b + c*q and give c.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 112 and 30231131?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = -2*p**2 - 2500. Let a(z) = 58895*z. Give m(a(d)).\nAnswer: -6937242050*d**2 - 2500","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence to when two letters picked without replacement from ioiokoyotk?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 12\/25 of a milligram?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 177 + 468 = -53*h - 97 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*u + 4*d - 35, 3*u = -d + 30 - 2. What is the remainder when 1042 is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q = -220.85 + -5.15. Let s = q + 225. What is the nearest to 15 in -0.5, -0.3, s?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -10.22 - 0.28. Let n = d - -5. Let w = n - -4. Round w to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 50\/(-115)*552\/(-1380)?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 1139041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 21032686 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 4672 and 32?\nAnswer: 4672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) be the third derivative of -461*k**6\/12 + 232*k**5\/5 + 905*k**2. What is the third derivative of l(x) wrt x?\nAnswer: -27660","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*m - 0*m + 4. Differentiate -7*y**4 - 3 + 4*y**4 - m*y**4 wrt y.\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*a**4\/4 + 175*a**3\/2 + 8775*a**2\/4 - 7175*a + 4895 = 0 for a.\nAnswer: -22, 1, 2, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let -1\/5*k - 2\/5*k**2 + 0 - 1\/5*k**3 = 0. Calculate k.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 - (81 + -63 - (11 + -4))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ddddpdpdpddddd. What is prob of sequence pp?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*y - 35*z - 6760430, 2*y - 6760504 = 7*y - 2*z. Round y to the nearest one hundred thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1146 + -1141. Let r = 0.1 - 0.5. Which is the nearest to 0? (a) k (b) 2\/13 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*u**2\/11 + 11022712*u\/11 + 15187522479368\/11.\nAnswer: 2*(u + 2755678)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -10, 6, -1494, -5.\nAnswer: -1494, -10, -5, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-5)\/3)\/(3\/(-9)). Suppose -2*u = 6, -62 = r*x - 2*u - 783. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 0.0376144 and -8451012.\nAnswer: -8451011.9623856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor 445*c**3 + 78143790*c**2 + 3430591841820*c + 77091912040.\nAnswer: 5*(c + 87802)**2*(89*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 36*a*q*z**2 - 2*a*z + 12*q*z**2 - 2*q*z + 36902*q - 566*z**2 wrt z.\nAnswer: 72*a*q + 24*q - 1132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1747530?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6*x + 7 + 9*x - 6*x)*(-126*x**2 + 60*x**2 + 73*x**2 - 111*x).\nAnswer: -21*x**3 + 382*x**2 - 777*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 15\/8 (b) -0.4 (c) 42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -448059000 rounded to the nearest 1000000?\nAnswer: -448000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n be 298\/5 - 4\/(-10). Let g = 1751 + -1661. Calculate the highest common divisor of n and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 25\/10*85916\/10. Suppose 0 = 15*m - 62*m - t. What is m rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 119*c**2*h**5 + 9*c**2*h + 2*c**2 + 2*h wrt h.\nAnswer: 2380*c**2*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put -3656, 1, 0, -1, -71, 4 in decreasing order.\nAnswer: 4, 1, 0, -1, -71, -3656","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q = -26.7 + 27. Let y = 2243 - 2242. What is the closest to -0.1 in y, q, 2, 26?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 13202671, 13202653, 13202629, 13202599, 13202563, 13202521, 13202473?\nAnswer: 13202419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i be (6\/12*0)\/(-2). Suppose 4*k - 1269 = -w, 0 = w - i - 1. What are the prime factors of k?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -7 in 2\/7, -1\/5, 0?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r + 3*x = 9, 4*r + 4*x = 2*r + 12. Let o = 2288 - 1641. Suppose -4*z + 5*g + 505 = r, 0 = 9*z - 14*z + g + o. What are the prime factors of z?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*m = 2*b - 10, 5*b + 4*m + 40 - 17 = b + 5*b for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) be the third derivative of r**5\/180 + r**4 + 72*r**3 + 5*r**2. Factor p(i).\nAnswer: (i + 36)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -148*w**2 + 228*w**2 + 0 + 3 - 135*w**2 - 2.\nAnswer: -55*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 80, 82, 86, 92?\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -442*a**2 - 10*a + 1663*a**2 - 2*a.\nAnswer: 1221*a**2 - 12*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let -40*l**2 + 117*l**2 - 45 - 35*l**2 - 37*l**2 = 0. Calculate l.\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 153388, 306799, 460210?\nAnswer: 613621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p**5\/7 + 10*p**4\/7 - 40*p**2\/7 + 32*p\/7 = 0. Calculate p.\nAnswer: -2, 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g = 20 + -20. Suppose 3*a - z = 33, g*a + 55 = 5*a + 5*z. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = 9*a**2 - 4*a**2 - 7*a**2. Suppose n - 2*o - 9 = 0, 0 = -n - 2*o - 3*o - 12. Let q(b) = -b + n*b + 2*b. Determine l(q(v)).\nAnswer: -32*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 5, 2, -5, -4 in descending order.\nAnswer: 5, 4, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 925342.\nAnswer: 2, 11, 42061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3 + -3 + 3 + -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = 16271\/38031 - -4\/5433. Which is the smallest value? (a) j (b) -5 (c) 2\/3 (d) -1\/3 (e) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 c and 2 p when three letters picked without replacement from {u: 1, p: 3, f: 1, b: 1, c: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -16 - -1*11\/22*54?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v**2\/3 + 4992*v - 209272\/3 = 0. Calculate v.\nAnswer: 14, 7474","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -17 (base 15) in base 14?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 134956?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = 40*d. Let x(p) = 6*p + 2. Give x(n(c)).\nAnswer: 240*c + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -3*f - 1. Let p(x) be the second derivative of x**3\/2 + x**2 - 2*x. Let b = 35720 + -35716. Calculate b*q(v) + 3*p(v).\nAnswer: -3*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -25 and -10.35?\nAnswer: 258.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 503 minutes before 3:43 PM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = -l**2 - 14*l + 58. Let c be o(-21). Let j = c - -615. What are the prime factors of j?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 464262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j = -17 + 15. Let c(u) = -8 + 14 - 7. Let g(a) = 4*a**3 + 2. Give j*c(x) - g(x).\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = n**3 + 2*n**2 - 4*n - 1. Let k(q) = 5*q**3 - 78*q**2 - 380*q - 3. Let l(g) = 6*f(g) - 2*k(g). Factor l(s).\nAnswer: -4*s*(s - 46)*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((q\/(q\/(q**(-6\/11)\/q)*q*q))\/(q*q\/q**7)*(q*(q*q**(-1\/4)*q)\/q)**(-33))**1)**(-1\/25) assuming q is positive.\nAnswer: q**(2477\/1100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.25 or 0.3?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 2851013815 to the nearest integer?\nAnswer: 1418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = -4*u + 91. Let h = -26 + u. Let a(l) = -l**2 - 2*l + 1. Determine a(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = -2 - 98*u - 118*u + 218*u. Suppose -3*b + 8 = 4*h - 8, 0 = b. What is z(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 74297.19 years in millennia?\nAnswer: 74.29719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -59\/2 and -7\/62554.\nAnswer: 62554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -9837\/26 or -379?\nAnswer: -379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 518045287 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose j - 4*a - 743 = 0, 10 = 5*a - 10*a. What is the hundreds digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-16692)\/(-1092) + 14\/(-49)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 2 + 69?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = -c**3 - 3*c**2 - 11*c. Let t be h(-9). Suppose 2*a - 390 = 5*v, -2*v = -3*a + 3*v + t. Suppose 6*k - k = a. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -228*f**2 - 22*f**2 + 206*f**3 + 51*f**2 + 47*f**3 wrt f.\nAnswer: 1518","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 5 + -9. Let x be 2\/t + (-27)\/(-30). Which is the second biggest value? (a) x (b) -1\/7 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = 37*f**2 - 83*f + 2. Let j(l) = 35*l**2 - 83*l + 3. Let u(t) = -2*j(t) + 3*w(t). What is the second derivative of u(s) wrt s?\nAnswer: 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6990 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*u**2\/7 + 20079*u\/7 - 7461714\/7.\nAnswer: 3*(u - 353)*(u + 7046)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (24 - 27 - (-1 - 10)) + (0 - -17)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26 - 2 = 5*o - 2*r, -4*o = -2*r - 18. Let j(q) = 2*q. Let f(d) = 2*d. Let h(t) = o*j(t) - 7*f(t). Let p(y) = -2*y. Calculate h(p(b)).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*x - 56*b + 57*b + 7, 0 = x + 3*b + 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 3160 = -1874*o - 1834*o + 3668*o for o.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = l + 23. Let d(x) = -x - 6. Calculate the smallest common multiple of h(9) and d(-8).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = 3*x**2 + 12*x - 5. Suppose -u - 17 = v + 3*u, -6 = 3*u. What is the tens digit of i(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -d - 4*d + 5*d**3 - 5795*d**2 + 243764 - 237969.\nAnswer: 5*(d - 1159)*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 135, -44.764, 1.9 in descending order.\nAnswer: 135, 1.9, -44.764","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = y**3 - 5*y**2 - y + 3. Suppose 0*w = 5*w - 25. Let c be i(w). Let n(q) = -2*q**3 - 2*q**2 + q. Calculate n(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = -3*u - 14. Let c(s) = s + 5. Let d(a) = 9*a**3 - a. Let q be d(-1). Calculate q*c(x) - 3*n(x).\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r = 10582 + -4828. Is r a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**12*(i*i*i**(-13)*i*i)\/i)\/(i**1*i)**41 assuming i is positive.\nAnswer: i**(-80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.62? (a) -2\/9 (b) 1 (c) -2\/13 (d) 4 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 0\/((-5)\/(-10)*-16 + 6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let 22*g**3\/3 - 105*g**2 + 98*g\/3 = 0. Calculate g.\nAnswer: 0, 7\/22, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = -h + 1. Let q(b) = -b**2 - 8*b + 0 + 11*b + 1. Give -d(u) - q(u).\nAnswer: u**2 - 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1139 and 306?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify i**(-2\/45)*i*i**(18\/5)\/i assuming i is positive.\nAnswer: i**(32\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate -186 divided by -3.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = o**3 - 5*o**2 + o - 2. What is v(4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put 0.5, -1\/2, -642.23 in increasing order.\nAnswer: -642.23, -1\/2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 101210 and 349?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:12 PM and 6:58 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 5 - 3)*(2*w - 4*w + 4*w)*(0 - 2 + 3).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 60*i - 48*i - 60 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = -8843*b - 61918. Calculate i(-7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 2356 - 36112?\nAnswer: -33534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = 3*w**2 - w - 1. Let p(l) = -10*l**2 + 4*l + 4. Let q(y) = 21*a(y) + 6*p(y). Let s be q(-1). Solve 2*d = 4*o - 2, -3*o + s*d = 5*d + 9 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 63793? (a) -10 (b) 4 (c) 5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1559930572?\nAnswer: 2, 389982643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m = 278.655 + 0.545. Let l = m + -329. What is l rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -205*m - 3788 + 918 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m = 25 + -23. Let n(k) = 2*k**2 + 10*k - 11 + 5*k**m - 19*k + 0*k**2 + 5*k**3. Let x(v) = -2*v**3 - 3*v**2 + 4*v + 5. Calculate 4*n(t) + 9*x(t).\nAnswer: 2*t**3 + t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 59 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.2? (a) -2 (b) -1 (c) 76\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = -3. Let x(p) = -498*p + 7. Determine -2*w(n) - x(n).\nAnswer: 498*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 5503, -53, 4\/7?\nAnswer: 5503","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2685?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h - 3787452 = -0*h. Let x = h - -2406863. Round x to the nearest one hundred thousand.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 4\/(-14) + (-2121)\/(-49). Let b = 40 - m. Is 0.08 > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) be the first derivative of 37\/3*x**3 + 0*x**2 + 47*x - 17. What is the first derivative of b(k) wrt k?\nAnswer: 74*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -6d4 + 618b?\nAnswer: 59a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u - 56 = -u. Let p be -4*(-6)\/4*u\/21. Find the third derivative of 0*j**p - 89*j**2 + 2*j**4 + 109*j**2 wrt j.\nAnswer: 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 1429 by 34.\nAnswer: 1429\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 4697 and 4191?\nAnswer: 1789557","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + (4*3*2*sqrt(2) - -6*(sqrt(162) + sqrt(2))))**2.\nAnswer: 336*sqrt(2) + 14116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t = 4.2 + -4.66. Let d = t - -0.06. Which is the third biggest value? (a) d (b) 5 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -15216, -4\/795, 0?\nAnswer: -4\/795","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 3, i: 1, h: 2, e: 1}. Give prob of sequence vv.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 8\/25 of a tonne in kilograms?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = 45 + -45. Let t(z) = z - 7. What is t(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 42*n + 16*n = 116. Let h(o) = 3*o**2 + 11*o - 11. Let f(y) = 2*y**2 + 6*y - 6. Let s(w) = -5*f(w) + 3*h(w). Calculate s(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence av when two letters picked without replacement from {v: 1, r: 5, t: 10, a: 1}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23*x = 34838 + 23467. Is x a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -882*p**4 + 18844*p**3\/3 - 38134*p**2\/3 + 10168*p - 2856 = 0. What is p?\nAnswer: 6\/7, 1, 119\/27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 14615370?\nAnswer: 2, 3, 5, 7, 11, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 75633208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:32 PM and 7:54 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 325 and 2340.\nAnswer: 11700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b = -4*x + 6*x, -4*b - 17 = -3*x. Let h = -6.12 + 0.12. Let i = -5 - h. What is the third smallest value in x, i, -2\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose u + u - 16 = 0. Suppose 3*p = -p + u. Suppose -p*v + 21 = -m, 5*v + 2*m - 3*m = 54. List the prime factors of v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3 + -3 - 4 - -2) + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u = -5*s + 11, 6 - 1 = u + 2*s. Let l be (-30)\/5*u\/2. What are the prime factors of 26\/4*(l + 3)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 89511723?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} {"text":"Question: Let p = 34 + -7. Solve 4*a = -3*b - 18 - 1, 5*b + 2*a = -p for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 1*-2*(-5)\/4*-4. Let m be 0\/(5\/(s\/4)). Let c(i) = -i**3 - i**2 + i + 8. Determine c(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 3\/5 of a week?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1002598407.\nAnswer: 3, 47, 317, 7477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 4418 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-1)\/2 - 5\/10. Let g = -1 - u. Let x(p) = -2*p + g*p - 1 - 2*p. Calculate x(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -59.4 + 3.4. Let z = -51 + -2. Let s = z - b. What is the second smallest value in s, 0.2, -0.5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.18 - 19.18. Let n = -673.65104 - -692.65. Let r = n + c. What is r rounded to four decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -2, -5, -9, -1968 in ascending order.\nAnswer: -1968, -9, -5, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*n**4 - 131213025*n**3 + 262426035*n**2 - 131213015*n.\nAnswer: 5*n*(n - 26242603)*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00067149 rounded to six decimal places?\nAnswer: 0.000671","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sum -18719 and 12.812733.\nAnswer: -18706.187267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n = -13 + 17. Let o be n\/5 - 44\/55. Solve -6*m + m + 10 = o for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -126.84 * -0.9062.\nAnswer: 114.942408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p = 13952 + -69757\/5. Which is the biggest value? (a) -13 (b) -6 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.08 and -140.02.\nAnswer: 11.2016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*w - w - 4*w)*(-1 + 1 - 2*w**2) - 2*w**3 + w**3 + 2*w**3 + 0*w + 0*w + w**3 + (-4*w**2 + 0*w**2 + 3*w**2)*(-3*w - 2*w + 7*w).\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert -a7678 (base 11) to base 9.\nAnswer: -257651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 2224699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r = -14 + 40. What is the remainder when ((-28)\/(-6))\/((-5)\/(420\/(-8))) is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u*u*u**35)\/(u\/u**(16\/5)))**46 assuming u is positive.\nAnswer: u**(9016\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w = -261\/2 + 125. Let y = 1196\/9 - 22391\/171. What is the common denominator of w and y?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = i**3 + 7*i**2 + 30*i + 147. Let z be q(-6). What is the greatest common divisor of 141 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2279*d - 2274*d - n + 19, 10 = -2*d + n for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 a when two letters picked without replacement from amqmaqaq?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 341718583.\nAnswer: 503, 679361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = j**2 - 4*j + 2. Let o(d) = d**2 - 9*d + 6. Let w be o(12). Let s be (-12)\/(-15) - w\/(-10). Calculate a(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -24416 and -1.\nAnswer: -24417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Divide 975928 by 8.\nAnswer: 121991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -698698, -698590, -698482, -698374, -698266, -698158?\n\"Answer: 108*v - 698806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = -57*p**3 + 5*p**2 + 31*p + 231. Is d(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1*2)\/((66\/9)\/(-11)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = -2 + 8*d - 1 + 35*d. Is r(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = -o**3 - 4*o**2 + 5*o + 1. Let l be a(-5). Let v be (-67 - -45) + ((-136)\/(40\/(-5)) - 8). Put v, -8, l, -2 in increasing order.\nAnswer: v, -8, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve c = -69358*t + 69356*t + 21, 0 = -13*c - 4*t + 295 for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 20 a factor of 2480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = 3073*w**3 - 8755*w**2 - 12*w + 12. Let v(f) = -2*f**3 + 5*f**2 - 2*f + 2. Let a(g) = s(g) - 6*v(g). Find the third derivative of a(z) wrt z.\nAnswer: 18510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x = -x - 2. Let u be ((-140)\/(-44) + -4)*x. Which is bigger: -3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-5 + -4*sqrt(245)*-4*4*3 + 3 + 2)*5)**2.\nAnswer: 225792000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -2 - 39 - (33 + -38) - 5 - -8?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 12025 + 8756 = -389*o - 5482 + 3312 for o.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k\/(k\/(k**(1\/4)\/k)))**(-16))**(-5\/9) assuming k is positive.\nAnswer: k**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 776754961 to the power of 1\/2, to the nearest integer?\nAnswer: 27870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*h + 1 + 14. Solve 0 = 4*c - 2*p, 0 = -c - 2*p - h*p - 22 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = -o**2 + 5*o**2 + 2*o**2. Let p be a(2). Let h(b) = -b**2 + 3*b + 12. Let l be h(0). Calculate the greatest common factor of l and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 290938523 is divided by 459.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(189)\/(3*sqrt(7)))\/(sqrt(9)*1*5).\nAnswer: sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 96737879.\nAnswer: 7, 53, 239, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand 3 - 3 - y + (0 + 3 + 0)*(-3*y + 7*y - 3*y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -0.4, 6\/29, 1\/4, 1\/7, -2\/11, -59.1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1556831535?\nAnswer: 3, 5, 7, 2017, 7351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d - d = -5*l + 1735920, -3*l = 2*d - 1041559. Let k = l - 59020801\/170. Let z = k + -36\/17. Calculate the common denominator of -25\/2 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 870*b - 1688*b + 818*b + 21*b**2.\nAnswer: 21*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = 2*d**3 - 5*d**2 + 6*d - 3. Let t be z(6). Suppose -5*q = -v - t, 43 = -3*q - v + 214. What are the prime factors of q?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 117 minutes before 6:01 PM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-2)\/(-6) + (-13)\/57. Let d = -0.02 - 0.24. Let i = d - 0.04. Which is the second biggest value? (a) z (b) i (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 6128, 6038, 5918, 5786, 5660, 5558, 5498?\n\"Answer: 3*o**3 - 33*o**2 - 12*o + 6170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = -71 - -105. Let w(f) be the first derivative of f**5 + s*f + 3*f**5 - 36*f - 2*f**5 + 16. What is the first derivative of w(h) wrt h?\nAnswer: 40*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 114649?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = 20 - u - 7*u**2 + 11*u + 17*u**2 - 9*u**2. Calculate the remainder when l(-9) is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 8, 2, 1, 3, 240 in descending order.\nAnswer: 240, 8, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -13*o + 8*o + 8*o.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1686 is divided by 94.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q = -2 + 3. Let i(f) = f**2 - 6. Let k be i(-3). Suppose -4*r = -k*r - 2. Are r and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (6\/(-9))\/(1\/81). What is the tens digit of 76\/(-6)*z\/36?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 23\/320 and 31\/15?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 133 (base 5) in base 12?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = z**3 - 3*z - 12. What is n(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in -11586988, -11587035, -11587114, -11587225, -11587368, -11587543, -11587750?\nAnswer: -11587989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = -26537*y - 1. Let b(w) = 52*w - 11. Calculate b(z(m)).\nAnswer: -1379924*m - 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) be the second derivative of -s**5\/40 + 213*s**4\/8 - 45369*s**3\/4 + 9663597*s**2\/4 + 441*s. Factor p(w).\nAnswer: -(w - 213)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 272422 is divided by 528?\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = 2*x - 2*m, -3*x - 6*m + 7*m + 8 = 0. Factor -v - 1\/2 - 1\/2*v**x.\nAnswer: -(v + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -36 + 156 - 6*z - 350 + 11*z as t*z + i and give i.\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = -f**3 + 2*f**2 + 11*f + 78. Let j be u(6). Solve 13*h - 12*h + 1 = j for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) be the second derivative of f**4\/12 - 5*f**3\/6 + 7*f**2 - 230*f. Calculate m(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 0 by -7567.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 256 and 3688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m be 34\/(-51) - 8\/(-3). Let r(n) = -11*n + m*n - 5*n + n**2 + 7 + 6*n. Calculate r(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r + g - 12 + 5 = 0, -g - 13 = -3*r. Let a = r - 1. What are the prime factors of (-31)\/(-3) + (-1)\/a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) be the second derivative of z**7\/7 + z**4\/12 + 4*z. What is the third derivative of f(s) wrt s?\nAnswer: 360*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = -389909460*f. Let r(b) = 3*b**2. Calculate r(o(t)).\nAnswer: 456088160992474800*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z = c - 28, 9*z = -2*c + 6*z - 9. Put -3, 7, c in descending order.\nAnswer: 7, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.3 in -1\/2, 2\/23, 3, 0, -21\/10?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x = -43 - -30. Let o = 18 + x. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -11 - -16. Suppose 2 = -2*y, -z + x*y + 12 = -15. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 12*h**3*w - 26*h*j**2 - 68*h*w - 1905*j**2 + 12*j*w wrt h.\nAnswer: 36*h**2*w - 26*j**2 - 68*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 236 minutes after 3:42 AM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 22613.\nAnswer: 22613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a = -0.3 - -0.3. Let s = a - -0.1. Let y(t) = t**3 - 7*t**2 - 9*t + 6. Let f be y(8). Does s = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 25\/(3 + 2) - -3950.\nAnswer: 5, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -109108 + 185529 = -61*i + 1862196. List the prime factors of i.\nAnswer: 5, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1514.\nAnswer: 2, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x = -687.82 - -690. Round x to one dp.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -125 - 667 = -6*o. Let q = -129 + o. Solve 4 = 3*c + 2*y, -q*c + 9 = 5*y - 1 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = 7*u**3 - 2*u**2 - 5*u. Let x = -33 + 28. Let a(o) = 14*o**3 - 5*o**2 - 10*o. Let l(c) = x*p(c) + 2*a(c). Find the second derivative of l(w) wrt w.\nAnswer: -42*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -24 in -0.06, -6, -27, 4\/9?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = v**2 + 2*v. Let k be x(0). What is m in -2\/5*m + k + 4\/5*m**3 + 2\/5*m**2 = 0?\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = -49523*m + 1. Let l be a(7). Let k = -2053340 + l. What is k rounded to the nearest 100000?\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 1\/2*w**3 - 3*w + 0 + 5\/2*w**2.\nAnswer: w*(w - 1)*(w + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 361276 * -0.3\nAnswer: -108382.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from fmffmmfffmfffcmrcoqm. What is prob of picking 1 q and 1 o?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {h: 4, p: 2, s: 7}. Give prob of picking 2 p and 1 h.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c be (((-5330)\/90)\/41)\/(10\/(-3) + 3). Factor -c*u**2 - 16\/3*u + 1 + 2*u**3.\nAnswer: (u - 3)*(u + 1)*(6*u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1\/6 + 1\/2. Let o = 0 - 0. What is the closest to o in x, 4, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4 + 454*q**3 + 4.\nAnswer: 454*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) be the second derivative of -3*u**5\/40 + u**4\/12 + 20*u**3\/3 - 40*u. Let k(x) be the second derivative of c(x). Determine k(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*l = 21, 6*t = 10*t - 0*t + t - l + 12 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h + 112 = l - 285, 3*h - 9 = 0. Suppose -133 + l = 3*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -2.2 * -223.33\nAnswer: 491.326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -18 in 4, 2\/23, -2\/7, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 6086?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(117)\/(sqrt(9) - (sqrt(225) - -2*sqrt(225))) - sqrt(130)\/(-1*sqrt(10))*4.\nAnswer: 55*sqrt(13)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 275048 - 275048 - 62*g + 41*g.\nAnswer: -21*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f + 4*b = 16, 0 = 2*f + 3*f + 4*b - 2. Find the common denominator of 23\/20 - f\/8 and (657\/(-2))\/9 + -2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b + 685 = 5*a, -3*b + 409 = -0*a + a. Let c = 36 + -19. What is the greatest common factor of c and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o - u + 23 + 10 = 0, 5*u - 15 = 0. Suppose o = 5*k - 2*k. Let y(g) = -5*g + g**2 + g**3 - k + g**2 + 0*g**2. Calculate y(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 0\/(-5 - (-3 - 1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 4, 10, 20, 34?\n\"Answer: 2*z**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 193 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 588 and 882.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 2.4 + 9504651791\nAnswer: 9504651793.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1220 = -29*x - p, 2*p = -3*p + 10. What is the smallest common multiple of x and 756?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -75 plus 51739?\nAnswer: 51664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z = 137\/6 - 23. Let w = -9145 + 27433\/3. Which is the nearest to w? (a) 2 (b) z (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -32, -45, -58?\n\"Answer: -13*r - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0 - -0.1. Let p = -282 - -281.5. Sort z, p, -0.3, 5.\nAnswer: p, -0.3, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (8\/5)\/((-2)\/(-5)). Let r be (4\/10)\/((-1)\/(-10)). Find the first derivative of 2*h**4 - p*h**r + 2 - 1 wrt h.\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = -5*h + 17. Let b be q(2). Solve 2*c - 6 = 2*d, 0*c - d - b = -3*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -k**2*w + 316*k**2 - 8*w**3 - 1 wrt w?\nAnswer: -k**2 - 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*a + 2*a = -5*x + 23, -5*x - 5*a + 20 = 0. Suppose 5*u = 4*u. Suppose -5*t + x = -u. Solve t = d - 1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 330 and 39930.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does 85 divide 304116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 2253, 4476, 6713, 8970, 11253?\n\"Answer: q**3 + q**2 + 2213*q + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-9*62\/8*(-460)\/(-345))\/(-3).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 117 or 3?\nAnswer: 117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in one tenth of a week?\nAnswer: 1008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 42*l + 620 + 51*l - 619 + 56*l.\nAnswer: 149*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: (-4)\/(-1)*8*(-7)\/1008\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = -9*d + 14*d - 2*d**3 + 6*d**2 + 18 + 18*d**2 - 52*d. What is the tens digit of o(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 89*0.8105\nAnswer: 72.1345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round 0.190146 to 3 dps.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.1, -32\/15, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7339622427.\nAnswer: 3, 79, 10322957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from udoudoud.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t = 23 + -12. Suppose c + 0*c + t = 2*n, -3*n - 5*c + 10 = 0. Suppose 2*v = 4*w - 3*v - 52, 3*v = -n*w + 28. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 24*o - 49*o + 2*o**2 + 25*o - 1 + 2*o**3 to r*o**2 + p*o + x*o**3 + j and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 2536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = 77*m**2 + 8*m + 7. Let i be o(-1). Suppose -2540 = i*k - 81*k. What are the prime factors of k?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 405 minutes after 5:20 AM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -3*x**2. Let d(s) = 7*s - 6. Let o(u) = 20*u - 17. Let t(l) = 17*d(l) - 6*o(l). Let r(p) = -6*p. Let c(n) = r(n) - 4*t(n). Calculate c(y(w)).\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = 2*p**2 + 8*p + 9. Suppose -2*k - 25 + 29 = 0. Calculate the least common multiple of l(-4) and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 15165.\nAnswer: 3, 5, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1135, -2258, -3365, -4450, -5507, -6530?\nAnswer: -7513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 258703304?\nAnswer: 2, 32337913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i be 292 - (-21)\/((-126)\/(-24)). Suppose 2*h - 5*w - 17 = 32, 4*h - 163 = -3*w. What is the greatest common factor of h and i?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 4 - 2. Suppose 3*b + 5*r + 171020 = 0, 0*b + 4*b + 227992 = h*r. Round b to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -324 (base 9) to base 10\nAnswer: -265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = -i**2 - 6*i + 10. Let l be s(-8). Let g be -2*(-3)\/(1*l). What are the prime factors of 3\/(-3*g\/5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(sqrt(243) - (sqrt(243) + -3 + -1 + sqrt(243)))**2.\nAnswer: -144*sqrt(3) + 518","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*j**3 + 24*j**2 - 512.\nAnswer: -2*(j - 8)**2*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = 151*i**2 + 23*i + 37. Calculate d(-2).\nAnswer: 595","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) be the second derivative of -n**4\/24 + 12*n**2 - 11*n. Let w(l) be the first derivative of s(l). What is w(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 831 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -17*u**2 + 15*u - 9. Let c(q) = -9*q**2 + 8*q - 5. Let d(v) = -v**3 + 5*v**2 + 7*v. Let i be d(6). Let x = -1779 - -1768. What is i*o(f) + x*c(f)?\nAnswer: -3*f**2 + 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = 7. Let o(l) = -11. Let t(q) = -3*o(q) - 5*r(q). Let b(h) = -h**2 - 1. Let f be ((-4)\/(-12))\/(1\/6). Give f*t(n) - 4*b(n).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 40 and 688?\nAnswer: 3440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -17237 = -324*r - 106*r + 25090 - 9647 for r.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put 849, 2, 4, -2 in decreasing order.\nAnswer: 849, 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = 7*r**2 - 124*r - 26. Let n be y(18). Solve 4*o = -0*w - 5*w + n, 4*o = 5*w + 30 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor s**3\/5 - 3*s**2 + 54*s\/5 - 8.\nAnswer: (s - 10)*(s - 4)*(s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) be the third derivative of h**5\/60 + h**4\/24 - h**3\/6 + h**2. Let o be v(2). Let l = o - -13. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gb when two letters picked without replacement from fgbb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -86*a - 24 = -74*a. Let m be 442\/143 - a\/(-22). Solve u + 4 = -m*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -484 - -613. What is the remainder when s is divided by 73?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 z and 2 r when three letters picked without replacement from rrbrozbkrrzbbkrrbk.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 35692627, 142770500, 321233629, 571082020, 892315679, 1284934612?\nAnswer: 1748938825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 10b26d4 - -1?\nAnswer: 10b26d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*q = -2 - 19 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from gssggsgggggg. What is prob of sequence gs?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 45\/2 of a meter?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Total of 0.12 and -29.325353.\nAnswer: -29.205353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -37 - -13781825?\nAnswer: 13781788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -386, -283, -106, 139, 446, 809?\n\"Answer: -u**3 + 43*u**2 - 19*u - 409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1\/27529 or -1?\nAnswer: 1\/27529","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 4 - (11 - -1 - (40 + 67 + -31))\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify v*v**(4\/13)\/v*v**12*v*v**(3\/5)\/(v*v**16) assuming v is positive.\nAnswer: v**(-201\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is next in 8, 12, 4, -22, -72?\nAnswer: -152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*l**2\/2 + 69*l - 135\/2.\nAnswer: -3*(l - 45)*(l - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 36*l*y**3 - l*y**2 + 31*l*y - y**3 + 5*y**2 - 39*y wrt y.\nAnswer: 216*l*y - 2*l - 6*y + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(88) + sqrt(88)*2*3)*-5)\/((sqrt(72) + sqrt(72)*-2)*-2) + 5.\nAnswer: -35*sqrt(11)\/6 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand ((2 - 5 + 1)*(4*h + 21*h + 11*h) + 4*h - 1 + 1)*(-2 + 0 + 1) + (0 + 1 + 2)*(2*h - 4 + 4).\nAnswer: 74*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 751aa3 + -5?\nAnswer: 751a99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n = 9849\/4 + -2448. Find the common denominator of -91\/6 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1726 is divided by 54?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11 + 1 = 3*r. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -20670*b**3 + 182860 wrt b?\nAnswer: -62010*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = 49*b + 2793. Is t(30) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -2704946 * -0.193\nAnswer: 522054.578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0.07, 276\/11, -4\/7, -0.5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*c - 3*s - 2*s - 12339, 4*c - 3*s = 16463. Is c a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 29 + -26. Suppose 31 = w*f - 4*f. Let x = f + 41. Solve -5*p = z - 20, x = -0*z + 2*z for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c\/(c\/(((c**1\/c*c)\/c)\/c)))\/c*c*c**(-3)*(c*c**7)\/((c\/c**7)\/c))**(-7\/6) assuming c is positive.\nAnswer: c**(-77\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -28304, -30462, -34058, -39092?\n\"Answer: -719*r**2 - r - 27584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 2858486 to the power of 1\/3, to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = 39*u**3 - 3*u**2 + 3*u. Let f be w(1). Let r = 43 - f. Solve -r*v + v - 6 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = -2*p**2 - 1072*p - 1. Let o(r) = 598*r - 1217*r + 617*r. Give o(n(h)).\nAnswer: 4*h**2 + 2144*h + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 50971732 is divided by 269.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 0 times 0.097\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -6985*w**3 + 6572895*w**2 - 9410*w = 0.\nAnswer: 0, 2\/1397, 941","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-1)\/(-1) + (21*-58)\/(-6). Let k = -17 + q. What are the prime factors of k?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(1\/4))**(-1\/6)*((p**7*p)\/p)\/((p*p**(-5)*p)\/p*p) assuming p is positive.\nAnswer: p**(239\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*a - 12*a = 0. Solve 5*x + 27 = 3*u, 2*x + u = -a*x - 2 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o - 4*x = -1604, -o + 5*x + 296 = -492. Calculate the highest common divisor of 171 and o.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2\/15*j**2 - 8\/15 - 2\/5*j.\nAnswer: 2*(j - 4)*(j + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) 474 (b) -5 (c) 43 (d) -105\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + -9 + -33 + -52 + 87.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 1001100001 (base 2) to base 3\nAnswer: 211120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = -7*x - 5. Let m(u) = 13*u - 8*u - 6*u - 4 - 5*u. Determine 4*m(s) - 3*z(s).\nAnswer: -3*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -5026, -10047, -15066, -20083, -25098, -30111, -35122?\nAnswer: -40131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*v**2 + 7*v**2 - 22*v**3 - 7*v**2 - 23*v - 7 - 38*v**3.\nAnswer: -60*v**3 + 4*v**2 - 23*v - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y - 5*a = 23, 2*y + 28 = 3*a - 0. What is the common denominator of 58\/3 and ((-26)\/78)\/(y\/45)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) be the first derivative of 11*l**2\/2 + l + 1. Suppose 0 = 2*f + 121 - 129. Suppose 2*s = -f*h - 3 + 15, -4*h = -s - 6. What is o(s)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:48 AM and 6:52 PM?\nAnswer: 604","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 12276.\nAnswer: 2, 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = n**2 - 5*n + 6. Let i be y(4). Suppose 5 = 5*c + z - 21, 4*z = -3*c + i. Let k be (7\/3 + -1)\/(2\/c). Let g(q) = q**3 - 5*q**2 - q. What is g(k)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 6 - 2. Suppose 2 = -i + q. Suppose -2*j + i*c = -54, 4*j - c = 2*c + 107. List the prime factors of j.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 182526, 365128, 547810, 730572, 913414, 1096336, 1279338?\n\"Answer: 40*f**2 + 182482*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g be 0 + (-102)\/140 - 189\/(-441). Which is the closest to -1\/5? (a) g (b) -2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = -79*p. Let k = -21 + 99. Let j(s) = -6*s. Let f(t) = k*j(t) - 6*h(t). Let b(o) = -124*o + 250*o - 127*o. Give f(b(y)).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 49011825.\nAnswer: 3, 5, 653491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 4 less than -742354277039?\nAnswer: -742354277043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose f = -2*f + 123. Let n = f + -23. Suppose -r + n = -5*x, -7*x = -r - 3*x + 17. Solve -5*l + 9 = 3*d - r, d = l - 6 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -0.2, 3397, -2\/17, -3, -3\/2?\nAnswer: 3397","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Total of 34.48799 and -8371.\nAnswer: -8336.51201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 945646 and 78.\nAnswer: 2836938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 7871*n**3 + 10*n**2 + 151045.\nAnswer: 23613*n**2 + 20*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -58369.065 + -0.3.\nAnswer: -58369.365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) be the first derivative of -23 + 0*q**4 + 0*q**2 - 47*q - 2\/3*q**3 + 3\/5*q**5. What is the derivative of n(l) wrt l?\nAnswer: 12*l**3 - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-648)\/32)\/27)\/(6\/(-8)*(-4)\/12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 i, 2 b, and 1 m when four letters picked without replacement from {m: 4, b: 12, i: 4}.\nAnswer: 352\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose w**2\/3 - 2248*w\/3 + 1263376\/3 = 0. What is w?\nAnswer: 1124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 28802486.\nAnswer: 2, 23, 293, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = n**3 + 13*n**2 + 12*n + 4. Let t be w(-12). Suppose 2*a + 54 = -t. Let o = 83 + a. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 336 is divided by 122?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = 3*a**2 - 2*a - 3. Let b(k) = -k**2 - 7*k + 3. Let n be b(-7). Let o be x(n). Suppose 0 = 3*h - 3, -4*h - o = -3*f + 11. Is f a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = 5*w**3 + 21*w**2 - 2*w - 21. Let d be u(-4). What is the hundreds digit of d\/((-24)\/(-490))*(-20 - -24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = -d + 2. Let p be ((-3)\/(-5))\/((-22)\/110). Let j be n(p). Suppose j*y = 6*y - 33. Does 10 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*k + k + k + 0*k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose d = -16*d - 10336. Let u = 613 + d. Let j(b) = -b**3 + 4*b**2 + 6*b - 2. Let x be j(5). Solve -2*k - u*s = -14, -x*k + 7*k = 5*s - 32 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -1\/3157442 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 8939, 35761, 80471, 143069, 223555, 321929?\nAnswer: 438191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = 3828 - 1999. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 191880?\nAnswer: 2, 3, 5, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = 1530*g**2 - 10*g + 79. Is b(12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 99 and 27.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0 + -7. Let g(t) = -4*t**2 - 5*t + 10. Let y be g(x). Let f = 216 + y. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 117764*x - 117764*x - x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 392 + -48.\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y - 1 - 9 = 0. Let t(z) = 3*z + 2. Let l be t(-2). Which is the third smallest value? (a) 0 (b) l (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d + 2*z - 3762 = 1372, -3*d = 2*z - 3853. What are the prime factors of d?\nAnswer: 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -1.4 and 153679.\nAnswer: -215150.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*z = -3*i - 1 - 19, 12 = -3*i for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Divide -175 by -7.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5 divided by 16369781.\nAnswer: 5\/16369781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -588*r = 3*m - 536*r + 92, m - 5*r - 14 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 3\/2*(-4)\/(-2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w be -12*1 - -4*(-6)\/(-8). What are the prime factors of (42\/w)\/7*-375?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -11 + 8. Calculate the remainder when 12 is divided by (-2 + -1 - z) + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -287, -1135, -2543, -4505, -7015, -10067, -13655, -17773?\n\"Answer: b**3 - 286*b**2 + 3*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -134*q - k = -135*q + 2, 3*q - 2*k = 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -458499*u - 385244.\nAnswer: -458499","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6332 divided by -3166.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: (-40)\/(-2) + 1603311\/(-58515)\nAnswer: -37\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -20\/9 (b) -63 (c) 352.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*s**2 - s**3 - 4*s**2 + (s - s - s**2)*(43*s + 59*s - 84*s).\nAnswer: -19*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + 2*(sqrt(1584) + 1) + -1)**2 + 0 + (-2 + (sqrt(176) - 2*sqrt(176)) + sqrt(176) + sqrt(176))**2 + 5.\nAnswer: 32*sqrt(11) + 6522","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -670, 640, 1952, 3260, 4558?\nAnswer: 5840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is (0 - 4) + (3 - (6 + -7))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is ((-8)\/(-16))\/(51\/204 + (-2)\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yy when two letters picked without replacement from {z: 7, y: 9}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k = 16 - 16. Suppose -3*m + 5*r + 31 = k, -m + 2*r = -4*m - 4. Suppose -f = -m - 27. Is f a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose h - w = -2 - 4, 4*h + 2*w = -12. Let l(i) = i**3 + 7*i**2 - 4*i + 1. Let y be l(h). Let v = 133 - y. List the prime factors of v.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) be the first derivative of i**2 + 15*i - 5. Let f be p(-5). Suppose 5*k - 3*w = k + 7240003, 0 = -f*k - 3*w + 9049997. Round k to the nearest 100000.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 1101 + 122?\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Divide 30 by -21.\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v + 95 = 31. Let x be v\/20 - (-1254)\/5. Suppose -61 = -0*s - s - 2*p, -5*p + x = 4*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((-2 + 5 - 4)*(2*d - 4*d + 3*d) - 4*d + 4 - 4 - 3*d + 5*d - 7*d)*(-76*d - 29*d**2 + 76*d) to x + p*d**3 + q*d**2 + k*d and give p.\nAnswer: 290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 45930 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = d + 2*t - 117, -2*d - 5*t - 44 = -278. Calculate the remainder when d is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.352 - 0.758. Let n = 128.806 + v. What is n rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 507 minutes after 4:48 PM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -317884344*p + 13303199?\nAnswer: -317884344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 294?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 16803950?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = f - 4 + 4. Let d(u) be the first derivative of -19*u**2 - 2*u**3 + u**3 + 19*u**2 + 1. Determine b(d(w)).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b = -5 + 28. Let s = -125 + 407\/4. Find the common denominator of s and b*(-4)\/8 + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -11.03 - -11. Let y = 65 + -68. Sort m, y, -2 in increasing order.\nAnswer: y, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 130*p*v**3 + 6*p*v**2 + 40235*p*v + 2*v**2 wrt v.\nAnswer: 780*p*v + 12*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Multiply -6 and -0.388.\nAnswer: 2.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2587 divided by -199.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g = 54 - 84. What is the units digit of 3094\/12 + (4 - 9)\/g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2391466 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 3187309 a multiple of 237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -v**4 - 729*v**2 + 1500?\nAnswer: -4*v**3 - 1458*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u + 36 = 4*b, -6*b + 3*u = -8*b + 18. Suppose 0 = 6*r - b*r + 2*g + 1102, r - 359 = -g. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = -789*i + 8. Let p(f) = 37*f. Calculate q(p(v)).\nAnswer: -29193*v + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0874458858 to 5 dps.\nAnswer: 0.08745","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 402155389 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -427359*21.1\nAnswer: -9017274.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -83*f + 75 = -68*f. Suppose -a + 33 = 3*a - 5*y, 3*a - 16 = -5*y. What is the second derivative of -7*l**5 - l**f - a*l**5 + 6*l + 0*l wrt l?\nAnswer: -300*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -216*n**2 - 1 - 66*n + 219*n**2 - 42*n + 1 + 11*n.\nAnswer: 3*n**2 - 97*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1089 is divided by 265?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 25981122517 plus 0.03?\nAnswer: 25981122517.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(-2\/89)*u**(2\/19))\/(u\/u**0*u*u*u*(u*u**(-28\/9)*u)\/u) assuming u is positive.\nAnswer: u**(-27487\/15219)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r + 2*m + 41149 = 0, 22715 = 5*r + m - 18443. Let g = -4751 + r. Let u = 94024\/27 - g. Calculate the common denominator of u and -55\/6.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -42.00828 rounded to the nearest integer?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*z**2 - 21*z = 0.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 20973 is divided by 5243?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -252, -255, -258, -261, -264, -267?\nAnswer: -270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*n + 453 + 1029. Let c = n + 204. Let a = c - 289. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 9 by -13818.\nAnswer: -3\/4606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l = -2 + 4. Let w be l\/(-1) - 6\/(-3). Suppose -p + 2*p = w. Solve p = -u - u + 2, 0 = -2*c - 2*u + 2 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-5)\/(-4))\/((-1)\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 10 - 9. What is the nearest to 0.1 in 5\/2, x, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) be the first derivative of -2\/3*c**3 + 0*c**2 + 5 + 2\/5*c**5 - 1\/3*c**6 + 1\/2*c**4 + 0*c. Solve k(y) = 0 for y.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 4 + 7 - (2 - -1). Solve -s = -59*b + 61*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -4.906 - 0.094. Let v(r) = -9*r**2. Let n be v(-1). Let x = 2522 + -2521.9. Which is the nearest to x? (a) o (b) n (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(-3)*q**17)\/(((q\/q**(1\/46))\/q)\/(q*q**15\/q)) assuming q is positive.\nAnswer: q**(1335\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o + 39 = 3*p, -o - o + 5*p - 37 = 0. Which is the third biggest value? (a) -4 (b) -3 (c) 0.04 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) 5 (c) -2\/19 (d) 3\/8 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*k + 29 = -3*y + 2*k, -17 = -y - 5*k for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -137*d - 60*d + 394. Solve -2*i + 2*r + 12 = 0, 0 = -d*i - 2*r + 11 - 3 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(7) + -1)*-5)**2 + (sqrt(7) + (sqrt(7) - (sqrt(7) + -3)))*6.\nAnswer: -44*sqrt(7) + 218","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 500 and 200.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 324483966 less than 324483965?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is (-60)\/(-9)*((-18)\/20)\/(97\/((-14065)\/696))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f be (4 - 3)*-8 + 3 + -4. Let p(s) = 3*s + 25. Let q be p(f). Which is the closest to 0? (a) 0.3 (b) 0.5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4\/(-3)*(-855)\/(-27930))\/((-216)\/27).\nAnswer: 1\/196","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -125, -144, -189, -272, -405, -600, -869?\nAnswer: -1224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f + 10 = -b, 3*b - 5*f = 7*b - 35. Let u(a) = -2 - 5 + 6*a**2 - a + 2 - a - a**3. Let h be u(b). Calculate the greatest common factor of h and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 0.3, -17, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = 1079*x - 191491. Give r(177).\nAnswer: -508","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -36 in 3\/7, -0.011, 2, 0, 1?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l = -2*c + 44, 2*c - 2*l = -5*l + 43. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f = 3*w - 11, -f = -3*f - 3*w + 8. Let h = f + 1. What is the units digit of 21\/7*h\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 6666256 (base 7) to base 13.\nAnswer: 22a9aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = -2*j. Let y(g) be the second derivative of 0*g**2 - g - 7\/12*g**4 + 0*g**3 + 0. Give y(x(i)).\nAnswer: -28*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 358 smaller than 359?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q*q**(-1\/7)*q**(-6\/17))**(-7\/6) assuming q is positive.\nAnswer: q**(-10\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 14532 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t + 8 = 7*t. Suppose -t*l = 8*l. Suppose r + r - 5*v - 118 = 0, l = -2*r - 5*v + 78. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = -6*i**2 - 24*i - 21. Let z(p) = 2*p**2 + 8*p + 7. Let d(h) = -6*v(h) - 17*z(h). List the prime factors of d(7).\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 779, 3105, 6981, 12407, 19383, 27909, 37985?\n\"Answer: 775*n**2 + n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 5796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 t and 1 s when two letters picked without replacement from vbtbvtbsbbbv?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of n*s**3*t - 365*n*s**3 - 63*n*s*t + 6*n*s - 5*s**3*t + 43*s**3 - 2*s**2*t - 18*s**2 + s*t - 4 wrt s.\nAnswer: 6*n*t - 2190*n - 30*t + 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-172*k + 6 + 178*k - 17)*(-3*k + 3*k + 3*k).\nAnswer: 18*k**2 - 33*k","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} {"text":"Question: Let z(o) = -32*o + 9. Let p be z(7). Let t = p + 405. Suppose -i = -2*j + 3*j - 45, -t = -4*i - 2*j. Calculate the remainder when i is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -70\/14548707 and 145\/432.\nAnswer: 232779312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a be -6 - -8 - 20\/6. Put a, 2\/7, 2\/9 in descending order.\nAnswer: 2\/7, 2\/9, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000014 to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -43*x + 45*x = 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0.06 (b) -2\/5 (c) -17 (d) 2.98 (e) -2\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4919004102?\nAnswer: 2, 3, 109, 941, 7993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(-5\/2)*u*u*((u\/(u\/(u**(-1\/7)\/u*u)))\/u*u)\/u)**(-37)\/((u**(1\/2))**(-29))**(-33) assuming u is positive.\nAnswer: u**(-2924\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose w = 3*w + 4746. Let y = -14381\/6 - w. Let g = -842 + 4224\/5. Calculate the common denominator of g and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 132353 + -70808914\/535. What is the common denominator of 55\/642 and h?\nAnswer: 3210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:48 AM and 6:50 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -4395.61 take away -3?\nAnswer: -4392.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -8, -12, -18, -26?\n\"Answer: -o**2 - o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s - j - 26 = 0, 5*j - 3*j = -4*s + 18. Let b(p) be the first derivative of p**4\/4 - 3*p**2 - 8*p - 1. Is b(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = -18*z + 24. Calculate the remainder when 382 is divided by g(0).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (1 - (-44)\/16)*3264\/18?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (0*c**4 - 3*c**4 + 6*c**4)*(2 + 12 - 5) in the form u + z*c**4 + b*c**2 + q*c + m*c**3 and give z.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is (2\/5)\/(6\/30) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -971 - -971.17. Let t = -38 - -37.63. Let p = d + t. Which is the smallest value? (a) p (b) -0.5 (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 99, 1134, 2859, 5274, 8379?\n\"Answer: 345*o**2 - 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b + 53 = -w, 2*w + 10 = 4*w. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 406425873?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 22 divided by -11\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c = -118 + 119. What is the nearest to c in -0.8, 3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (0 + 0 - 2*r)*(2*r - 6*r + 3*r) + 47*r**2 + 38*r**2 - 11*r**2 + r as w + h*r**2 + u*r and give h.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*s = -6*s - 10. What is the remainder when 29 + (4\/2 - 1) is divided by (s + -8)*6\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 82 a factor of 134480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -2 + -40?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = l**3 + 6*l**2 + l + 8. Let d be r(-6). Let u(f) = d*f + 0 - 6 + 6. Calculate u(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -142 + -1512?\nAnswer: -2054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r + 28 = -14. Let i be 56\/r*18\/(-4). Calculate the least common multiple of 8 and ((-200)\/15)\/(8\/i).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 0 + -3 + (0 - -3). Suppose t*p - 7 = -p. Let a be (-2)\/p + (-92)\/(-28). Solve 0*u - 9 = a*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1 - -1.1. Let g = -0.2 - d. Which is the closest to 1? (a) -3\/2 (b) 0.5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 50537?\nAnswer: 97, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ssacsiccscsccscscca. What is prob of sequence acs?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4 + -26 - (19 - 107)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 12*f + 2*f + 5*f to z + w*f and give w.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 6 - 264021036?\nAnswer: -264021030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Are 5955986 and 7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1218, -11096, 0.05?\nAnswer: -1218","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Do 4739 and 0.3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*j - 2*j = -8. Suppose 0 = -j*m + 3*w - 3, 4*m + 0*m + 2 = 2*w. Let t = 313 - 313. Solve m = -t*i - i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 238 - 238.3. What is the biggest value in -0.12, -4, h, -1\/4?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = -k**3 + 7*k**2 - 12*k + 5. Let s be v(4). Suppose 14 = s*i + 19. Let l = 62 + -79. Is i > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -39*i**3*q**3 - 11*i**3*q**2 + 5*i**3*q - 2*i**2*q**3 wrt q?\nAnswer: -234*i**3 - 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((k\/(k*k\/(k*(k\/(k\/k**(-5)))\/k)*k)*k)\/k*k)\/k**(-5\/4))**14)**(2\/7) assuming k is positive.\nAnswer: k**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 46768 is divided by 266?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -1 (base 15) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -712*i**2 + 2718.\nAnswer: -1424*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q = 748\/5 - 149. Let y = 0.15 + -0.55. Which is the nearest to -0.2? (a) 0.5 (b) y (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:43 AM and 3:08 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - 49 - 44)*(3*a**2 + 4*a**3 - 3*a**2) + (-a**3 - 2 + 2)*(1 + 2 - 2) + a**3 + 0*a**3 + a**3 + 2 + a**3 - 2.\nAnswer: -378*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 96982691011 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.5981 and 5897?\nAnswer: 3526.9957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = 4*n + 9. Suppose 0 = -3*t - 2*s - 15, -5*s - 4 = 2*t + 6. Let q(i) = 6*i + 1. Let w(v) = -14*v. Let g(h) = 5*q(h) + 2*w(h). Give t*g(b) + 3*u(b).\nAnswer: 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = -4*m - 2. Let g be t(-2). Let b = 8 - g. Suppose 0*y - b*y + 158 = 0. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9687?\nAnswer: 3, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 58106687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g be 2\/9 + ((-24)\/(-135) - 0). Let r(s) be the second derivative of s**4 - 2*s**2 + 0 + g*s**5 - 6*s + 0*s**3. Let r(m) = 0. What is m?\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 387.806 rounded to the nearest ten?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 c and 1 g when four letters picked without replacement from {g: 1, v: 2, c: 3, i: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:14 AM and 8:19 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f be 2*3*1\/2. Suppose a = f + 2. Solve 5*n + 4*d + 11 = -2, 5*n - 5*d = a for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 518*d - 8288 = -4542 + 11794 for d.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = 19*t**3 + 2*t + 4. Let o(p) = -58*p**3 - 7*p - 12. Let u(r) = -2*o(r) - 7*y(r). Differentiate u(d) with respect to d.\nAnswer: -51*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*s - 7*n - 363 = 0, -296*s - n = -300*s + 63 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:26 AM and 1:19 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o = -9 - -20. Let f(n) = -n + 11. Let r be f(9). Let p be 24 - 7\/(7\/r). What is the highest common divisor of p and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = -14*z + 10. Let g(r) be the third derivative of -r**5\/30 + 999*r**2. Give h(g(o)).\nAnswer: 28*o**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort -6347\/120, -0.5, 0.2, 11\/2.\nAnswer: -6347\/120, -0.5, 0.2, 11\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-2)\/(48\/(-27)) - 1. Which is the second smallest value? (a) 0.4 (b) x (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = 4*r + 42. Let q(a) be the second derivative of 3*a**4\/4 + 7378*a. Calculate q(i(y)).\nAnswer: 144*y**2 + 3024*y + 15876","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g = -313\/264 + 27\/22. Does g = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -84\/5 at least -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 0, -118, -344, -672, -1096?\n\"Answer: d**3 - 60*d**2 + 55*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s = -4*s - 13. Let a(w) = 10*w**2 - 3*w - 12. Let d be a(-2). Let m = s + d. Calculate the remainder when m is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 81877\/10 + -8178. Find the common denominator of 114\/(-232) - (-4)\/(-16) and t.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a + 4*x = -119, 0*x = -4*a + x + 137. Is (-22)\/a + 226\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10667 times 0.01?\nAnswer: 106.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x = -219501.135698719 - -219501.15. Let t = x - 0.0143. Round t to 7 dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-6)\/(-21)*4\/(-44). Let m = 136\/693 - p. Let g = 17 - 12. Sort 4, g, m in descending order.\nAnswer: g, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -4*h**2*l + 5*h**2*o + 3*h*l*o + 6*l - 8*o wrt h.\nAnswer: -8*l + 10*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = -p**3 + 2*p**2 + 3*p + 3. Let s be y(3). Suppose -421 + 411 = -5*k. Let i be 0 + 2 - 4\/2. Solve n + k + s = i for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = 20*q - 8. Let n be c(-3). Let u = n + 83. Suppose -u = -9*x + 12. Solve w + w - 2 = j, -13 = x*j + w for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -626 and 0.9.\nAnswer: -563.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1230 + 1230.871. Let w = s + -64.971. Round w to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = -2*s**3 + 11*s**2 + 6*s. Let w be z(6). Let r = -1.9228 - 0.0772. Which is the nearest to w? (a) 6 (b) r (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 1357965*m**3*s**2*t - 137*m**3 + 46317*m*t - 5*s**2*t + 1 wrt s?\nAnswer: 2715930*m**3*s*t - 10*s*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a = 4 + -8. Let y be ((-91)\/a)\/(4\/16). Calculate the greatest common factor of 13 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 353, 342, 315, 266, 189, 78, -73, -270?\nAnswer: -519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 117911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/11 in 1\/3, 5151, -15, 3\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let 4*m**4 + 2384592*m**3 + 355399591608*m**2 + 2132333166096*m + 3198467557476 = 0. What is m?\nAnswer: -298071, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 255149 is divided by 298?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d**2 + 2*d + 1\/2*d**3 + 0 = 0. Calculate d.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = -2*j**2 - 9174*j + 165823. Give h(18).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = -2*t**3 - 8*t**2 - 14*t + 24. Let d(h) be the second derivative of h**4\/12 - h**3\/6 - 5*h - 3. Let w(s) = -6*d(s) + g(s). Factor w(b).\nAnswer: -2*(b - 1)*(b + 2)*(b + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -21 - 3631?\nAnswer: -3652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 21*o**2*w**4 - 412759*o**2*w**3 - 4*o**2*w + 9*o**2 - 2*o*w - 12757*w wrt w?\nAnswer: 252*o**2*w**2 - 2476554*o**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h = -3978 + 3978.3. Which is the third smallest value? (a) h (b) 5\/3 (c) -4.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*-2*sqrt(5) + (sqrt(5) - sqrt(5)*-2*-6)**2)*5.\nAnswer: 10*sqrt(5) + 3025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + sqrt(2) + 3 - (sqrt(200) - (sqrt(200)*-5 - sqrt(200))) - (-4 + (-3*sqrt(2))**2 + sqrt(50)*-4).\nAnswer: -49*sqrt(2) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -461, -466, -473, -482, -493?\n\"Answer: -l**2 - 2*l - 458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Total of -100.6086021 and -3.\nAnswer: -103.6086021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) be the third derivative of o**5\/60 - 3*o**4\/8 - 5*o**3\/3 + o**2. Let b be n(11). Suppose b = x + 3*x. Does 3 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = o**2 - 156. Let i(n) = -16*n**2. What is i(p(s))?\nAnswer: -16*s**4 + 4992*s**2 - 389376","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(-5 + sqrt(1088) + -2)**2 + (sqrt(68) + 2)*1*-3.\nAnswer: -2280 + 218*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 10223798 and 479850?\nAnswer: 9743948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 120470387?\nAnswer: 569, 211723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1828678000.\nAnswer: 2, 5, 914339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 4*a*m**3*w*y**2 - 479*a*m**3 + 8*a*m**2*w*y**2 - 351*a*m**2 + 4*m**3*w*y - 3*m**2*w + m**2 wrt m?\nAnswer: 24*a*w*y**2 - 2874*a + 24*w*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -9 + 19 - 17 - (-1 + -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -323010, -322998, -322978, -322950, -322914?\nAnswer: -322870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify o**(1\/3)\/(o\/o**4)*(o**(1\/3))**(-43) assuming o is positive.\nAnswer: o**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 475435376 and 624?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) 33.9 (b) -4 (c) -86 (d) 0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -89325, -179005, -268685?\n\"Answer: -89680*z + 355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00000013812 to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -180 = -11*n + 14*n. Let t be 3\/(24\/3830690) - 45\/n. Let y = t + -327837. Round y to the nearest ten thousand.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine p so that p**2\/3 - 22*p\/3 + 19 = 0.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in 18306, 18295, 18270, 18225, 18154, 18051, 17910, 17725?\nAnswer: 17490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = 75 - 41. Suppose -76 - 116 = -n - 132. What is the remainder when n is divided by k?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -11122 (base 3) to base 5\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 11 + -c?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) be the second derivative of 0 - 8\/3*y**3 + 3*y - 2*y**2 - 1\/12*y**4. What is the units digit of a(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 j and 2 i when three letters picked without replacement from {i: 2, c: 1, h: 6, j: 1, t: 2}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1173 or -4\/23?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*m + 3*w + 1226, 11*w - 1515 = -5*m + 6*w. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1 divided by -595?\nAnswer: -1\/595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Determine i so that -i**3 - 11546*i**2 + 23095*i - 11548 = 0.\nAnswer: -11548, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) be the third derivative of -2*b**2 + 0 - 5\/24*b**4 - 1\/6*b**3 + 0*b. What is the tens digit of m(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*q**3 - 3 + 3.\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 111060642.\nAnswer: 2, 3, 7, 11, 421, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k = 19 + -18. Let j = 0.38 + -0.08. Which is the third biggest value? (a) k (b) j (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 2 - (-2)\/((-6)\/9). Let f be (a\/(-2))\/(3\/72). Suppose -4*z = -2*z - f. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -10d36 - 168?\nAnswer: -10e9e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is (-1161)\/(-51) + (23430\/(-561) - -42)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -7418, -6911, -6066, -4883, -3362, -1503?\nAnswer: 694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put 19, 14, -5, 0.4 in descending order.\nAnswer: 19, 14, 0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from auu. What is prob of sequence uu?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-6)\/4)\/(9\/(-24)). Let m(u) = -5*u + 30. Let p be m(6). Suppose -k*o + p*o = -16. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -8818743*j**3 + 4108426*j**2 wrt j.\nAnswer: -52912458","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} {"text":"Question: Sort 2187, -5, 787 in descending order.\nAnswer: 2187, 787, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is (3\/(-2) - 2\/(-4)) + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 3\/((-84)\/(-22)) - (-28)\/(-56). Suppose -3*r = 3*r - 6. Let l = -67 - -62. Which is the third biggest value? (a) l (b) n (c) r (d) 2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 2539\/5 - 507. Sort -0.3, -61, r, -2\/3 in increasing order.\nAnswer: -61, -2\/3, -0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0.3 (b) 1 (c) 0 (d) 11\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w - 2*c = 16, c + 0 = 3*w - 24. Let h = w + -9. Let a be 12\/9 + (-2)\/2. Is a less than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -148850916*m**3 - 172372139*m**2 wrt m?\nAnswer: -893105496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -14 + 14 - (-3 + -2 - -1) - 18.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 249 minutes after 10:33 AM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x - x - 13 = k, x = 2*k + 11. Suppose 0 = 7*w + 186 - 60. Let z = w + 23. Solve 0 = -3*r - 11 - 4, x*v + z*r + 25 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 15.15532 meters?\nAnswer: 15155320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -12 times -0.037\nAnswer: 0.444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x = 6 - 5. Let s(y) = -3*y**2 - 148*y + 103. Let v be s(-50). Solve x = 2*u + 3*a - 2*a, 3*u = -v*a for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-16)\/(-6)*9\/6. Suppose b - 1 = -m. Let w(u) = 3*u**2 + 4. Let l(a) = 2*a**2 + 3. Let t(p) = m*w(p) + 4*l(p). Let o(f) = -f. Determine o(t(q)).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-24)\/(-9))\/(2\/3). Suppose 2*n - 4 = f. Solve n*h - 1 = -17 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 9947, 8799, 6863, 4133, 603, -3733?\nAnswer: -8881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1257\/328 or -3?\nAnswer: -1257\/328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o = -199 - -209. Calculate the remainder when o is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -20\/9 in 2\/13, 5, -2\/9, 2\/3, -150?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -58, -64, -70, -76, -82, -88?\n\"Answer: -6*a - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = d**2 - 21*d + 129. What is t(12)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Determine g, given that -g**3\/2 + 11*g**2 + 975*g\/2 + 1350 = 0.\nAnswer: -20, -3, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = 3416*h - 47522. Calculate s(14).\nAnswer: 302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 61*s + 1186 = 62*s. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from nnncncorhrhhchnunhr. Give prob of picking 1 c, 1 r, and 1 h.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 34201399?\nAnswer: 17, 283, 7109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x - 180 = -31*d + 32*d, -x - 1 = 0. Let b = 229 + d. Is 5 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 15519?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4 + -5 - (3 + (-4 - -1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*x - 58665*a + 58664*a = -4, 4*x + 4*a = -24 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -78 divided by -6?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 384741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**7)**(-42)*(b*((b\/b**(-19))\/b)\/b)\/(b**(-22)\/b) assuming b is positive.\nAnswer: b**(-252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.3 from 58287978.2.\nAnswer: 58287977.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Divide 2095 by 30023.\nAnswer: 2095\/30023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -8729075 or -8729070?\nAnswer: -8729070","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) be the first derivative of -3*g**5\/10 + 3*g**2 - 7*g - 4. Let l(d) be the first derivative of n(d). What is the derivative of l(p) wrt p?\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -5*t. Let b(a) = a - 2. Let m be b(4). Suppose -m*r - 5 = 3*r. Calculate p(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (5\/(-3))\/(-18*(-415)\/363042).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2865\/30 - -5)\/((-183)\/122).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = -2*x. Let q(m) = -141*m**2. Calculate v(q(u)).\nAnswer: 282*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does 16 divide 5525008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2.5 + 2.3. What is the nearest to 0 in -0.3, 0, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r - 5*c + 100 = 0, -r = 2*r - c + 104. Let d be (56\/r)\/((-4)\/10). Solve -4*t = y, 0 = 2*t - d*y - 0*y for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t = -8 - 4. Let q(v) = -92572*v**3 + v - 1. Let o be q(t). Suppose -o = -y + 1300560. Round y to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1965807 <= 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*u = 12*v - 8*v + 16, -u + 16 = -4*v for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(121)\/(sqrt(22)\/sqrt(2)) - ((sqrt(11) + 1 - sqrt(11)) + 4))**2 + sqrt(55)\/(sqrt(10)\/sqrt(2))*-1 + -3.\nAnswer: -11*sqrt(11) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = -18*q - 464. Let m be b(-26). Solve -2*r - 4 = 2*x, -4*x - 5 + 13 = -m*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -9 = 4*y - 2*p + p, 6*p - 2*p - 3*p = 1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 10 (base 13) in base 15?\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = -0.05711 + -6.43489. What is a rounded to zero decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 38 a factor of 392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o - 2 = 3*o. Let c be (-2)\/(o - (-32)\/20). Suppose -79 + 14 = -c*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 200\/(-60)*((-38)\/10 + -1). Suppose -3*z = -7*z - u. Let m = 0.9 + -1. Which is the third smallest value? (a) m (b) -0.4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x - 8 = -2*x. Suppose -x = -g + 2. Sort 1, -5, g in descending order.\nAnswer: g, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 425 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x - 72 = -4*m + x, -x = 4*m - 84. Let i(w) = 13*w + w + 3*w**2 - m*w + 6*w. Let o(u) = 13*u**2 + 0 + 0. What is o(i(j))?\nAnswer: 117*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is (-18)\/(-24)*(5 - 786\/150)*(-40)\/216?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -2 + 3. Suppose -g - l = y - 14, 22 = 2*g - 2*y. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1 - (-3 + 1 + 2)) + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = -2708 + 2806. Calculate the remainder when m is divided by (-316)\/(-12) + 2\/3.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11 = -6*l + 3*l - 2*p, 0 = -2*l + 4*p + 14. Let s be (1*2)\/(l\/4). Let o be (-2 - -4)\/((-4)\/s). Let y(d) = d**2 - 2*d - 2. What is y(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*w + 5*y + 40 = 0, 15 = w - 2*y - 0*y for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u be (495\/(-44) - 2*-4) + 2. What is the closest to -0.3 in u, -7, 15?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1878*d = 1892*d + 56 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t = -87\/22 + 695\/198. Which is the closest to 2\/13? (a) 4 (b) 3 (c) 0.1 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7810529297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) be the first derivative of h**6\/2 - 3*h**5\/5 - 9*h**4\/4 + h**3 + 3*h**2 - 15. Factor t(b).\nAnswer: 3*b*(b - 2)*(b - 1)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = -17*c - 2. Let s be w(-1). Suppose 149 = 4*a - 179. Let z = a + s. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x - 19 + 31 = 0. Suppose -w + 12 = -7*w. Sort -7, w, x.\nAnswer: -7, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 4284 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = s**2 + 10*s - 6. Determine k(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) be the third derivative of -12299*j**6\/120 + j**5\/60 - j**4\/12 + 12*j**2. Let b be m(1). What is b rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 14 in 1\/3, 0, 3.65?\nAnswer: 3.65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f be 10*(4\/10)\/2. Solve c - 2*c = -f*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = -c + 11. Let d be p(11). Suppose -2*y + v + 4*v + 74 = d, -y = -4*v - 31. What are the prime factors of y?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2184 is divided by 110.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*((2 + -1 + sqrt(1620) + 2)**2 + ((sqrt(180) + -2 + sqrt(180) + -4)*-2)**2).\nAnswer: -4653 + 468*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = -8*i + 49. What is a(-6)?\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.0894*2.\nAnswer: 0.1788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand 3036 - 83*u**3 - 3036 + (2 - 2 - 1)*(u**3 + 0*u**3 - 3*u**3).\nAnswer: -81*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {y: 5, g: 1, k: 2, s: 2, w: 4, a: 1}. Give prob of sequence wkgw.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) be the third derivative of -67*k**7\/1008 + 17*k**5\/60 - 8*k**2. Let s(n) be the third derivative of r(n). Let h be s(2). Round h to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 37, 38, 55, 94, 161, 262, 403, 590?\n\"Answer: k**3 + 2*k**2 - 12*k + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -43, -47, -53, -61, -71, -83, -97?\n\"Answer: -f**2 - f - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*c - 5*l = 25, 0 = -5*l + 2 - 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h = 169 - 170. Is 1\/17 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 448 and 113982372?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-5)\/(1136601\/10716 - 106).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 6965 a factor of 1494369265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 66 >= -38.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sum 955690 and 7655.\nAnswer: 963345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 72 = -p - j, -2*p + 9*j - 8*j - 162 = 0. What is the biggest value in p, 1, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from uvnvllvlwvuvulvu. Give prob of sequence vvwl.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) be the second derivative of -1051*h**4\/12 - 1015*h**3\/6 - 21*h - 19. What is the second derivative of c(x) wrt x?\nAnswer: -2102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 127, 302, -14940?\nAnswer: -14940","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 8*l - 21*l + 2*l + 2 to the form w*l + f and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1777 + 1777.001049. Round s to 4 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 12601, 6, -652 in decreasing order.\nAnswer: 12601, 6, -652","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 3 times -3.01?\nAnswer: -9.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = -z, 5*r - 3*z - 232 - 131 = 0. Suppose -3*f + f + r = 0. Is 18 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1494592 a multiple of 482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 14*j - 20*j - 3*j - 18*j. Let g(u) be the second derivative of j*u**2 - u + 0 + 1\/100*u**5 - 1\/15*u**4 + 0*u**3. Factor g(a).\nAnswer: a**2*(a - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 9 - 12. Which is the third smallest value? (a) -0.4 (b) v (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-1 + 4)*(1 - 0). Let m be (1 - g)*2\/4. Let d(l) be the first derivative of 8*l**3\/3 - 1. Calculate d(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0052935 to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1255018 is divided by 303?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 236003 is divided by 2843.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 3805 divided by -115\nAnswer: -761\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 1209960*l**3 + 83*l**2 - 7072 wrt l?\nAnswer: 7259760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort -22, -5, -72959, -2, -3.\nAnswer: -72959, -22, -5, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round -44443 to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 - 30 = -5*v. Let t = v + -6. Is 2\/5 < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 16328036.\nAnswer: 2, 79, 163, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 59005 to the power of 1\/2, to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u = -208\/357 + -602113\/3927. Let s = 154 + u. Which is bigger: s or 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.058 rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -4411 (base 6) to base 13\nAnswer: -601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0 + 0 - b)*((2 + 2 - 2)*(2 - 3 + 2) - 1 + 0 - 4)*(10*b + 5*b - 11*b) to c*b**2 + y*b + w and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = -o**2 - 11*o + 12. Let m be k(-12). Find the first derivative of m*l - 3 + 4*l - l + 0 wrt l.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -8*t**4 + t - 5952?\nAnswer: -32*t**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 divided by 89.\nAnswer: -1\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -1, -1\/4, -3\/2, 35, 0.01?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 11090 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-5)\/(-3) - (-98)\/294. Solve f - 7 = 2*u, 5*u - 2*f + 16 = -q for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 80631135?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7 - 6 - 2 - 100*g - g**3 - 2.\nAnswer: -g**3 - 100*g - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*u + 3 - 3 + (8 + 18 + 40)*(0*u - 2*u - 4*u).\nAnswer: -394*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 1, 3\/7, -0.4, 5\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -1201, -2352, -3443, -4474?\n\"Answer: 30*n**2 - 1241*n + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p be (640\/30)\/((-1)\/(-33)). What is the greatest common factor of p and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 649*m - 222*m - 263*m - 4592 = 0 for m.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f = -236\/15 + 77\/5. Sort 3, f, -0.2, -0.029.\nAnswer: f, -0.2, -0.029, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*v**2 + 2*v**2 + 0*v**2)*(v + v + v)*(132*v - 132*v - 23*v**2).\nAnswer: -138*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -5, 34 in ascending order.\nAnswer: -5, 3, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 7659 or 7668?\nAnswer: 7659","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -275, -273, -271, -269, -267?\nAnswer: -265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -25920723938149+2\nAnswer: -25920723938147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 51\/69464 and 117\/20.\nAnswer: 347320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k = -111 - -114. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-6)\/(-14) + (-546)\/(-98). Let s(m) = 3*m - 5. Let y(x) = -2*x + 4. Let p(n) = 5*s(n) + 6*y(n). What is p(z)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 85145 to the power of 1\/2, to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand -5*j**3 - j**3 + j**3 + (3*j - 4*j + 2*j + 2)*(2*j**2 - 3*j + 3*j).\nAnswer: -3*j**3 + 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express -9*m**3 + m**4 + 36*m - 171*m**2 - 1 - 38*m + 9*m**3 - 23*m**2 as h*m**4 + u*m**2 + r*m**3 + f*m + s and give u.\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 z and 1 h when four letters picked without replacement from {o: 1, z: 8, d: 1, h: 1, f: 4}.\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:39 AM and 5:16 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*c + 364 = -6*c. Let f = 4.64 + -5.04. What is the third biggest value in f, c, -3, -0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2.017 - -776.84?\nAnswer: 778.857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = -9*h**2. Let n(s) be the second derivative of 0 + 0*s**2 + 0*s**3 + 40*s - 1\/12*s**4. Determine b(n(c)).\nAnswer: -9*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 720786 a multiple of 489?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 52563 is divided by 27.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find d, given that -14*d**5\/15 + 60596*d**4\/15 + 43294*d**3\/15 - 5772*d**2\/5 = 0.\nAnswer: -1, 0, 2\/7, 4329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 46 + 135)*(-2*j - j + 4*j)*(-j**2 + 0 + 0)*(-5 + 5 - 8*j**2 + (2*j**2 - 2*j**2 - 2*j**2)*(1 + 1 - 5)).\nAnswer: 366*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 66761.\nAnswer: 101, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -0.1, -3\/5, 193889, 3, 0.3, -0.4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -2100 + -100?\nAnswer: -2200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = 9295*g**2 + 4*g + 12. Let u be m(-2). Suppose 0 = 4*r + 2*c - 29746, -5*r - 9*c + u = -6*c. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:59 AM and 10:35 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-w - 2*w + 2*w)*(2*w - 3*w + 13*w)*(-27 + 26 + 38*w**2 + 5*w**2).\nAnswer: -516*w**4 + 12*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c be (3\/4)\/(1\/76). Let g = c + -29. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -100*g*p**4 - 4*g*p**2 + g + 1381*p wrt p?\nAnswer: -1200*g*p**2 - 8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -43\/21 and 8\/181170129?\nAnswer: 181170129","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 29 (b) 8 (c) -5 (d) 60 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:18 PM and 5:06 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -6*y**3 + 47*y + 6*y**2 + 26*y + 8*y**3 wrt y?\nAnswer: 12*y + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = s**3 + 71*s**2 + 26*s - 6807. Give n(-69).\nAnswer: 921","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23508 = -26*v + 42038. What is the thousands digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 249 and 41468045.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is -1 not equal to 25\/167842?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2167 + 2162. Let a = 1 - -1. Let o = a - 1.5. Put -1, -3, q, o in ascending order.\nAnswer: q, -3, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 d and 2 i when three letters picked without replacement from dvppppvppdvipidpd.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Subtract -64 from 1.1.\nAnswer: 65.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gn when two letters picked without replacement from nng?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 4547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 0.1, -1, 943?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 18, 46, 92, 162, 262, 398, 576, 802?\n\"Answer: a**3 + 3*a**2 + 12*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is (-20)\/(-440) - (-24)\/(-44)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = -2*h**3 + 22*h**2 + 11*h - 24. What is the tens digit of d(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -877*r**2 + 136*r**2 - 1361*r**2 + 368*r**2 - 657*r**2.\nAnswer: -2391*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 314249 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n + 5*n - 4*s - 35 = 0, -3*n = -s - 20. Suppose -m + 1 = -2*l, 2 = -m + 5*l - 0*l. Solve m = -3*o, n*o + 15 = 4*u + u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 11\/2 + 2\/4. Let p(n) = 2*n**2 - 2. Let m be p(-2). Suppose -z = 4*w - m*w. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find k, given that -2*k**2 + 82594*k + 165196 = 0.\nAnswer: -2, 41299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i = -9604 + 9728. Calculate the remainder when 1001 is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 2411\/4 or 602?\nAnswer: 2411\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l = -r, 0*l + 2 = r + 4*l. Put r, -3, -7 in descending order.\nAnswer: r, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 221 is divided by 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = -q**2 + 9*q - 10. Let c be i(8). Is 540\/28 + c\/7 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = -111*w. Determine x(-1).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 34 divided by -1?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 861 and 5289?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -28 (base 11) to base 15\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 33407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l = -97720\/3 - -32573. What is the nearest to 2 in 2, -722, l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 478494 is divided by 31.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -180*s + 1223 - 138 + 1435 = 0 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nyyuuyynununnnynun. Give prob of picking 2 y.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(-4\/3)*(b**7*b)\/b)\/(b**(-2))**(-3\/34) assuming b is positive.\nAnswer: b**(280\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = -3*j**2 - 38*j + 24. Let n = -8 - -2. Let m(r) = r**2 + 13*r - 8. Let l(b) = n*u(b) - 17*m(b). Let c be l(7). Round c to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -120202010 (base 3) in base 5?\nAnswer: -331403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in 27, 116, 265, 474, 743, 1072?\nAnswer: 1461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = -2*i + 50. Let s be n(14). Let y = s - 38. Let m be 0\/(-4)*(2 + (-4)\/4). Which is the fourth biggest value? (a) m (b) -2 (c) -2\/7 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 707 minutes before 11:15 AM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u*(u*u**2)\/u*u)**26\/(u**(-7)*u*u*u**(-6)*u) assuming u is positive.\nAnswer: u**114","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 3, x: 1, p: 11}. Give prob of sequence hh.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-2737)\/(-46)*(-3)\/(-7))\/((-669)\/(-892))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 9734816 to the power of 1\/2, to the nearest integer?\nAnswer: 3120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.4 - -0.2. Let g(k) = k**3 + 7*k**2 + 7*k - 21. Let v be g(-9). Let n = v + 2704\/11. What is the second smallest value in 0.4, m, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -394625016 and 148650.\nAnswer: -394476366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -23040, -22932, -22744, -22476, -22128, -21700, -21192?\n\"Answer: 40*n**2 - 12*n - 23068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 317790343?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 52*b - 1 - 209 + 2 = 0. Let h(v) = -v**3 + 3*v**2 - 10*v + 5. Determine h(b).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/4? (a) 0.08 (b) -26 (c) 958\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is g in -3*g**2 + 2463*g - 2460 = 0?\nAnswer: 1, 820","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of ((-1555)\/15 + 5)*-12?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 + 2 + 0 + -3 + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 129*c = 127*c + 18. Solve 0 = -10*y + 13*y + c for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = v**2 + 95*v + 642. Let p be f(-89). What is the highest common divisor of 2556 and p?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -12 = -t - 3*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a - n = -31, 3*a = 2*a + 3*n - 16. Let s = 8 + a. What are the prime factors of s\/(-3) + 364\/21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1066737.\nAnswer: 3, 7, 79, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*f - 4*m, -4*m + 34 = -3*f + 2. Let a(z) be the first derivative of 16001*z**2\/2 + 4*z + 1. Let q be a(f). Round q to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 5 + 0 + (0 + 1 + 1)*(1 + 2 - 5))*(2 - 2 + 4)*(-16*q - 16 + 16).\nAnswer: 128*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s**3 + 298*s**2 - 1166*s + 870 = 0. What is s?\nAnswer: 1, 3, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 16, h: 4}.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -82, -228, -374, -520, -666, -812?\n\"Answer: -146*i + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 7, -3, 82, 17907 in descending order.\nAnswer: 17907, 82, 7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) be the first derivative of 8*c + 1 + 1\/3*c**3 + 9\/2*c**2. Let j be w(-8). Solve -5*s + k + 20 = -2*s, j = -5*k - 25 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 4620 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 1130*p - 2582 = 167*p - 328*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = f**2 + 2*f - 4. Let t be d(-3). Suppose 2*g + 2*z = 3814, -13*z = -3*g - 14*z + 5717. Let q(r) = -3*r + 6*r + 1906 - 2*r - g. Calculate q(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -56985*18.1\nAnswer: -1031428.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 0.628384 centuries?\nAnswer: 754.0608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 318 = 6*g + r, -5*g + 2 = -r - 263. Solve 52*m - g*m - 4 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 13620 to the power of 1\/2, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate (45\/(-270)*-78)\/(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify s**(-5\/8)\/((s\/(((s*(s*s**(3\/22))\/s)\/s)\/s*s))\/s)*(s**(-1\/20)*s*s)\/(s*((s*s**17)\/s)\/s) assuming s is positive.\nAnswer: s**(-6837\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -906*q + 2021*q + 387*q + 994*q.\nAnswer: 2496*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 7\/2 of a milligram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = -11*j**3 - 7*j**2 + 5*j - 1. Let p(z) = -1 + 12*z**2 - 6*z + 2*z**3 - 4*z**2 + 8*z**3 + 2. Let u(m) = -6*p(m) - 7*r(m). Calculate u(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = 2*w**2 - 11*w + 4. Calculate q(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d + 7*d = 75. Suppose 8*j = 3*j + d. Let h(r) = -r**3 + 4*r**2 - 5*r + 4. What is h(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = 21*k**3 + 10*k**2 + 26*k + 2. What is the smallest common multiple of i(3) and 3283?\nAnswer: 36113","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((24\/3)\/(-40))\/(12\/(-120)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let 246*y**3\/13 + 470*y**2\/13 = 0. Calculate y.\nAnswer: -235\/123, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express (0 + 3 - 1 + 2 - 6 + 2 + (2 + 0 + 0)*(3 + 2 - 3) + 0 + 5 - 3 + (-2 - 1 + 0)*(2 - 2 - 1))*(2*n - 3*n + 3*n) in the form j*n + q and give j.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000076 rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in seven eighths of a second?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -p - p - 3*w - 36 = p, 12591*p - 12589*p + w = -23 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 30, 51, 72, 93?\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.775 + -5.775. Let u be -5 - -7 - 4\/1. What is the closest to g in -0.3, u, -3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 20363461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 331, 436, 541?\n\"Answer: 105*a + 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = 33*v + 1415. Let x be j(-42). Calculate the highest common factor of x and 4727.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = -3*m**2 - 20*m - 4. Let g(x) = 16*x**2 + 102*x + 20. Let a(s) = -4*g(s) - 21*y(s). Calculate a(14).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = 2*x**2 - 5*x - 40. Let y(a) = -a**2 + 3*a + 39. Let c(f) = 3*w(f) + 4*y(f). What is the first derivative of c(j) wrt j?\nAnswer: 4*j - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j - 3*k = -5*k - 18, -21 = 5*j + 4*k. Let t(u) = 0*u + 3*u + 7*u. Let g(h) = -4*h. Let y(d) = j*t(d) - 12*g(d). Let v(r) = 8*r. Determine y(v(o)).\nAnswer: -16*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: (5 - (-176)\/(-33))\/((-180)\/8)\nAnswer: 2\/135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -176, -177, -178?\nAnswer: -179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = -9 - -25. Let c = b - 6. Solve -h = h - c for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 348 and 1044?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = -3*t**2 + 3*t - 1. Let b be 5*(-2 - (-192)\/(-30)). Let m(h) = 3*h + 129. Let x be m(b). Calculate a(x).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -6 and -1857208062688?\nAnswer: 1857208062682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -12*h + 7*h - 25 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = -o**2 + 16*o - 8. Let x be b(15). Calculate the greatest common factor of x and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -d**3 + 5*d**2 + 2. Let u be v(5). Suppose 4*o - u*o + 3*a - 1 = 0, -3*o + 4*a = -10. Solve -o*j - 8 = -0*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j + 33 = 7*j. Let s(m) = m**3 - 10*m**2 - 11*m - 3. Let o be s(j). Suppose 3 = 2*q + 1. Sort q, o, -2, 2 in decreasing order.\nAnswer: 2, q, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -l + 3143*l**2 - 3121*l**2 + l.\nAnswer: 22*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h + 5*q + 27504 = 0, 34143 = 5*h + 2*q - 270. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 2 + 2*x)*(-x**2 - 3*x**2 + 2*x**2)*(4 + 5 - 3)*(4 - 2 - 3)*(-1 + 2 - 3).\nAnswer: -48*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a + 12 = 6. Suppose 2*m - 10 = -a*m. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = -27*u + 11. Let f = -560 - -554. Let v(c) = -7*c + 3. What is f*i(j) + 22*v(j)?\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 2.81446729 rounded to 1 dp?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-140)\/(-56) - (-10 + 12). Which is the biggest value? (a) 5\/7 (b) 3.8 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*r + 5 - 12 - 114*r + 7.\nAnswer: -106*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 71136107 at most 71136110?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -239 + 251 = -4*l - 4*b, -l + 5*b = -15 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s + 139 = 3*x, -4*x + 6*s + 188 = 2*s. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = w**2 - 12*w + 27. What is x(11)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*o + n - 6 = 0, -1 - 7 = 5*o - n for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 122 is divided by 49?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 10378 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 165178?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3596, -3609, -3620, -3629, -3636, -3641?\nAnswer: -3644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = -s**2 - 65*s + 135. Calculate g(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = 1. Let j(w) = 41*w - 1. Determine -2*i(g) - j(g).\nAnswer: -41*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor -9*w**3\/2 - 4521*w**2 + 6034*w - 2012.\nAnswer: -(w + 1006)*(3*w - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 39049 or 78099\/2?\nAnswer: 39049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w be (33 - 37)\/(9 - -1). Let d = 5 - 9. Which is the biggest value? (a) d (b) 0.2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-8)\/84)\/((-20)\/(-30)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1122 - -1121. What is the nearest to z in -0.2, -2\/3, -3.3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s, 1 k, and 1 b when three letters picked without replacement from {c: 3, k: 2, r: 1, x: 1, s: 1, b: 5}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o = -6 - -2. Let b = 10 - o. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0.018 greater than 147.356?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 4\/11? (a) -17 (b) -144 (c) 1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*b - 3 = 5*b. Suppose 0 = -b*y - 6, -u + 126 = -4*y - 39. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -146*c + 138*c = -4472. Let p = 576 - c. Calculate the remainder when 81 is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 21286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -22, -19, -8, 11, 38, 73?\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f be 6\/20 - (-146)\/((-153300)\/1155). Let a = 0.4 - 0.37. What is the smallest value in 4, a, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 59*s = 12*s + 2626 + 147. What is the remainder when 996 is divided by s?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 587 - 200?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 1476 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*a + 22*a - 19*a - 16 - 26*a**2.\nAnswer: -26*a**2 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = r**2 + 286*r - 403168. Give h(508).\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 312.75 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) be the third derivative of -l**6\/120 - 3*l**5\/20 - l**4\/24 + l**3\/2 + l**2. What is the tens digit of d(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 12140?\nAnswer: 2, 5, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 35 divide 426346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -45*q + 3*q - 36*q.\nAnswer: -78*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:08 PM and 3:21 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(2 + (sqrt(12) + -3)**2 + ((5*(sqrt(75) - sqrt(3)) + sqrt(3))*-3)**2)*-1.\nAnswer: -24*sqrt(3) + 23860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = -8*q - 16. Let m be (2 - 8\/3)\/((-2)\/(-15)). Let n be v(m). What is the greatest common divisor of 120 and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10977 = -7*f + 10*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o = 4 + 6. Suppose 2*h - 92 = -o*h. What is the highest common divisor of 207 and h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-48)\/(-9) - 2\/6. Suppose g*v + 19 = 3*z, 0*z - z - 27 = 5*v. Let m(u) = -u + 2. Let b be m(2). Put -2\/13, v, b in descending order.\nAnswer: b, -2\/13, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 533 + -161. Let k = 52 - o. Let w = 7033\/22 + k. Calculate the common denominator of -113\/10 and w.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*w**2 + 242*w\/3 - 40\/3.\nAnswer: -2*(w - 20)*(6*w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = 7*m + 23. Let y be w(-3). Suppose y*a - 1161 = 1141. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be -1 + -2 + (-36)\/2. Let a = -19 - s. Let l be 9\/(54\/(-16)) + a. Which is greater: l or -3.6?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2 - -4. Suppose 5*l = 2*u + 3, 0 = u - l - 2*l + d. Suppose -3*k = -6 - 0. Which is the nearest to u? (a) k (b) 1\/5 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in two fifteenths of a week?\nAnswer: 80640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 4, -4, 199?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -19*o + 2*o - 3*o.\nAnswer: -20*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (23*b - 20*b - 91 - b)*(-2*b + 7 + b**2 + 1 - 11).\nAnswer: 2*b**3 - 95*b**2 + 176*b + 273","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1820 and 2921880?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round -563781.203 to the nearest ten.\nAnswer: -563780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) be the third derivative of q**5\/60 - 274*q**2. Let o(l) be the second derivative of 2*l + 0*l**2 + 0 + 3\/4*l**4 + 0*l**3. Give t(o(f)).\nAnswer: 81*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kk when two letters picked without replacement from ukk?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (13*y - 27*y - y)*(1 - 1 - 3)*(17*y**2 - 41*y + 41*y) to the form w*y**2 + s*y**3 + r*y + q and give s.\nAnswer: 765","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round -1.0263341 to two decimal places.\nAnswer: -1.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate -546998 divided by -474.\nAnswer: 273499\/237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y = -168272.0000169289 + 168272. What is y rounded to seven decimal places?\nAnswer: -0.0000169","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*w**3 - 6*w**3 + 3*w**3 - 2*w**3 - 16*w**2 to q*w**3 + s + x*w**2 + j*w and give x.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (0 - 37) + (26 - (46 + -16) - (-9 - 0)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*f - 11 = -3 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*x**3\/7 + 4*x**2\/7 - 286*x\/7 = 0 for x.\nAnswer: -13, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) be the first derivative of -16*b**4 - 58 - 14\/3*b**3 + 0*b**2 - 2*b. Find the third derivative of j(h) wrt h.\nAnswer: -384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.5 - 19.5. Let y = -17.8 - s. Let i = -0.2 + y. Sort -4, i, -5 in decreasing order.\nAnswer: i, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 837.4742 + -2381415.\nAnswer: -2380577.5258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 4? (a) -13\/2 (b) 30 (c) 0.1 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 285571440\/29 or 9847291?\nAnswer: 9847291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 19796 divided by -14?\nAnswer: -1414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -11545, -23086, -34627, -46168?\n\"Answer: -11541*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = 2*f**2 + 4*f + 6. Suppose -4*m + 3*m = 3, -3*q - 5*m - 27 = 0. What are the prime factors of s(q)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 9 - (-3 + 2 + 1). Let l = q - 14. Sort 0, 1, l in decreasing order.\nAnswer: 1, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -2*v**4 + 1882*v**3 - 591570*v**2 + 62504222*v - 122657188 = 0. Calculate v.\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate -292 divided by -65.\nAnswer: 292\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = 12*i + 226*i**2 + 5*i - 16 + i**2 - 2*i. What is the least common multiple of 22 and y(1)?\nAnswer: 2486","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: (2 - 14)*(-1380)\/(-360)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -12 (base 7) in base 15?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 48520144 to the nearest integer?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in 3, -1\/2, 7, 4\/5, -0.3, 0.052?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-171)\/1026 + (-17210)\/(-12). Does r = 1435?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (0*u - 3*u + 2*u)*(-2*u + 2 - 2)*(10 - 9 + 17 - 41 + 15 + 72 + (-3 + 2 + 0)*(1 - 5 + 3)) in the form d*u**2 + v*u + l and give d.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 190331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1254?\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 456 at most 455?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-238)\/105 - ((-253)\/33 + 9). Let i be -3 - 0 - 2\/2. Let k = i - r. Is -0.01 less than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j - 216 = 2*j. Suppose 2*r + r = 5*x + 64, 100 = 3*r + 4*x. Calculate the common denominator of 25\/12 and ((-38)\/14)\/(j\/r).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 211 is divided by 74?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose i = -4*i - c - 23, 0 = 5*c - 10. Put 3, -2, i in decreasing order.\nAnswer: 3, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1255 (base 6) to base 10.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 445450151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.34, 0.1, -0.3, -10, -4, 13 in decreasing order.\nAnswer: 13, 0.1, -0.3, -0.34, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = -5. Let y(b) = -b + 1. What is -p(g) - 4*y(g)?\nAnswer: 4*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = -23*j - 5. Is v(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -501*d = 10966 + 2936 + 126 for d.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) -2\/13 (b) -0.3 (c) -0.4 (d) -1\/66 (e) 204\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 1, y: 3, c: 1}. What is prob of sequence ycy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2 - 3 - 2*n + 4)*(-15 - 12*n + 3 + 16*n) to the form j*n**2 + k + v*n and give v.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:46 PM and 10:01 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/7 in 2\/13, 1\/2, 4, -0.3, 116?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -853280 or -5972952\/7?\nAnswer: -5972952\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 280 and 1036280.\nAnswer: 1036280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*a - 60 = -64 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 14926897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 x and 1 e when three letters picked without replacement from exxxxxxxxxxexxxxxx?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1314.9 - -1315. Which is the second biggest value? (a) m (b) -1\/3 (c) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 4003744*b - 121512?\nAnswer: 4003744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -813*y - 1008 - 2150 = 5785 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s be 2 + 1 + -4 - 0. Let n be -4*(-1 + s\/(-2)). What is the tens digit of (n\/(-4))\/((-1)\/20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 33 - -53054344?\nAnswer: 53054421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 4, c: 2}. Give prob of sequence ucc.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many kilometers are there in 478400.6 meters?\nAnswer: 478.4006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 110 minutes after 9:57 PM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 12*k = 11*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q = 30 - 2. Suppose -19*c + 434 + 616 = 6*c. What is the greatest common factor of q and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a - 611 = 2*t, 5*t + 337 = 3*a - 22. What is the remainder when a is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(140)\/(sqrt(7) + sqrt(14)\/sqrt(2)))\/(-2*sqrt(250) + sqrt(250))*-1.\nAnswer: sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-4)\/10 + (-52)\/20. Let w = 93095 + -93094.6. Which is the closest to -9.1? (a) v (b) -1\/7 (c) 0 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/3? (a) 0.2 (b) 2\/9 (c) 5\/6 (d) -4.5 (e) 28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = 4. Let x(o) = -o + 13. Let p(u) = -2*u + 26. Let a(l) = 6*p(l) - 13*x(l). Suppose 0 = -4*z - 524 + 516. Determine z*a(i) - 7*d(i).\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = -5*a**3 + 2*a + 4. Suppose -5*z - 88 = -4*p, 3*p + 2*z - z - 85 = 0. Let n = 31 - p. Let v(y) = -y**3 + y + 1. Determine n*v(b) - j(b).\nAnswer: b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q be 0 + 3 + 1*-1. Let t be (-20)\/(q + 104412\/(-52203)). Suppose 5*l + t = -r, l - 4*l = 6. Round r to the nearest 10000.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is fifty-one fifths of a microgram in nanograms?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8*o - o**2 + 9*o**2 + 5*o**2 - 853 - 2*o**2.\nAnswer: 11*o**2 - 8*o - 853","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 17 divided by -593\nAnswer: -17\/593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j - 4 = -0*j. Let x = j + 2. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = -155*b - 7172. What is f(-49)?\nAnswer: 423","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put -0.1, -9, -0.3, -3\/2 in increasing order.\nAnswer: -9, -3\/2, -0.3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 8.820045 meters in centimeters?\nAnswer: 882.0045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 46763?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 28431000 rounded to the nearest one million?\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 3 and 1534092?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 498325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = o**3 + 14*o**2 - 20*o - 25. Let i be n(-14). Which is greater: i or 256?\nAnswer: 256","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.5756*-3717.\nAnswer: -2139.5052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q + 3 = -2*q. Let i be (10\/(-4))\/(1\/2). Let o(r) = -8141*r - 16282. Let z be o(-2). Which is the closest to z? (a) 4 (b) i (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) be the third derivative of 0*k**4 + 0*k**5 + 0*k + 0*k**3 - 1\/1176*k**8 + 5 + 3*k**2 + 1\/735*k**7 + 0*k**6. Factor q(r).\nAnswer: -2*r**4*(r - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -87 - -97. Let s(o) = o**3 - 10*o**2 + 13*o - 10. Does 12 divide s(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1889148231 to the power of 1\/2, to the nearest integer?\nAnswer: 43464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5 + -17 + 5 - (-5 + -9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = 599*i. Let y(v) = 13*v**2. Give y(f(j)).\nAnswer: 4664413*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Add together -0.035 and 0.1451.\nAnswer: 0.1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f\/f**(-9))\/(f\/(((f*((f*f**(-1\/12))\/f)\/f)\/f)\/f)))\/(f**1)**(-1\/20) assuming f is positive.\nAnswer: f**(209\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert 297.85221 minutes to days.\nAnswer: 0.2068418125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1326931 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 23927964 is divided by 516.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = 32*a - 4. Let x be s(2). Suppose 3*c - 44 = -0*b + 4*b, 0 = 5*c - 4*b - x. Solve 4 = 3*t - y, 3*t = c*t + 5*y - 40 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*k - 8*k - 6. Let t be (-2 + (-7)\/k)*-6. Let s(x) = x + 2. What is s(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = 22*h**2 + 3*h - 11. What are the prime factors of y(-6)?\nAnswer: 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -2, 131 in increasing order.\nAnswer: -2, 5, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 6*(-1)\/(-2) + 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = -2*z. Let f(q) = q + 0*q + 2*q - 5*q - 102*q**2 + 386*q**2. Calculate f(h(x)).\nAnswer: 1136*x**2 + 4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 6068 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + -1 + (0 + sqrt(2448))*-5.\nAnswer: -60*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*z**3 - 2*z**3 - z**3)*(-607*z - 199*z - 159*z - 29*z).\nAnswer: -994*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-3984)\/(-42) - 30\/35. What is the first derivative of -72*o**2 + 11 - 35*o**2 + s*o**2 + 2*o + 96 - 80*o**2 wrt o?\nAnswer: -186*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) be the second derivative of 3 - 23\/12*r**4 - 15*r + 0*r**2 + 0*r**3. Let n(v) = 2*v - v - 2*v. Calculate l(n(o)).\nAnswer: -23*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -14*x + 1763. Determine y(20).\nAnswer: 1483","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -90 + 102 - (2 - 0).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -106, -52, 2, 56?\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w**2 + 84*w = 0. What is w?\nAnswer: -21, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 353 minutes after 7:24 PM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 x and 1 h when two letters picked without replacement from {g: 1, x: 2, u: 8, l: 2, h: 2}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -0.001431470516 rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = 4*b**2 + 38*b + 21. Let c(n) = -5*n**2 - 46*n - 20. Let d(k) = -5*c(k) - 6*q(k). What is d(-8)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = -t**2 - 15*t - 5. Let j be x(-15). Let b = 41 + -284\/7. Let r = -4 + 5. What is the nearest to r in 0.5, j, b?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1301 + 2102. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 4241 and 20.\nAnswer: 84820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 2\/125 of a gram?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -69474 = -2758*i - 98997 - 102861 for i.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -127 - 13*l + 127.\nAnswer: -13*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -58*u**2 - 96*u**2 + 31*u**2.\nAnswer: -123*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate (7\/75)\/(5740\/(-7380)).\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1382 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.46 + -1.54. Let m be 0*(4\/18 - (-20)\/72). What is the nearest to 0.1 in 5, m, v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1137521528 a multiple of 162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f be (21 - 22)\/(((-1)\/(-2))\/(-1)). Let k be (4 - (f - (-2 - -4))) + -1. Sort -14, -3, k in ascending order.\nAnswer: -14, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = -2*q**3 - q**2 - q + 2. Let h be j(-2). List the prime factors of h\/1 - (-4)\/(-2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -a + 2*h + 7, -4*a - 2*h + 0*h = 22. Let y = -23 + -7. Let p be -3*5\/y*-2. Sort 5, p, a in descending order.\nAnswer: 5, p, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -83\/1087200 and -101\/24.\nAnswer: 1087200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) be the second derivative of 0*o**3 + 0 + 0*o**2 - 1\/112*o**7 + 9*o + 3\/160*o**5 - 1\/16*o**4 + 1\/40*o**6. Find u such that g(u) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -312445*p**4 - 45*p**2 + 12980.\nAnswer: -7498680*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -7 - (-6 + (-1 + (9 - 3) - -1))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*v + 44*v = 765. What is the remainder when 328 is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 327 (b) -68 (c) -4 (d) 3 (e) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put -167909, 5, 0 in ascending order.\nAnswer: -167909, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: (-1545)\/(-310) - ((-2080)\/(-420) - -5*8\/840)\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 8? (a) -17 (b) 1932 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify z**(-11\/3)*z**(-3\/8) assuming z is positive.\nAnswer: z**(-97\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*s - 1 - 14. Let a be 7\/2 - (6 - s). Let u = 1.3 + 3.7. What is the closest to a in 2\/3, u, 0.3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = -2*g - 8. Let y be -3*7\/((-42)\/20). Let c = y - 1. Let q(a) = 2 + c - 4 - a + 3*a. What is -7*q(h) - 6*v(h)?\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1835, 3653, 5471, 7289, 9107?\nAnswer: 10925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-9*b + 7 + 10 - 8)*(b**3 + 0 + 0 + (b + 0*b + 0*b)*(-4*b**2 + 0*b**2 + 2*b**2) + b**3 + 2*b**3 - 4*b**3 + 15*b + 37*b**3 - 15*b).\nAnswer: -315*b**4 + 315*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v + 41 = -x, -3*x - 20 = -v + 3. Let a = -30 - -62. Suppose v + a = 2*j. Does 15 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -346 - 2*j - 345 + 691.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -107, -429, -961, -1703, -2655, -3817, -5189?\n\"Answer: -105*k**2 - 7*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) be the second derivative of -j + 0*j**2 - 1\/2*j**3 + 0. Let w(u) = -3*u. Give o(w(m)).\nAnswer: 9*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1167 - 397 = 11*q. What is the remainder when 558 is divided by q?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of g**2*x**4 - 276*g**2*x**2 + 3*g**2*x - 11*g**2 - 3*x wrt x?\nAnswer: 12*g**2*x**2 - 552*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 f, 1 t, and 1 b when four letters picked without replacement from vbfbvbvbbftt?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20*x = -26*x - 6. Is (2*-442 - x)\/(31\/(-341)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-k + 0*k + 3*k)*(2*k + 5*k - 5*k)*(-k**3 - 8*k**3 + k**3).\nAnswer: -32*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 3768.892 tonnes in milligrams?\nAnswer: 3768892000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = c**2 + c - 2. Let v = 239 - 235. Suppose 3*i = 4*d + 12, 0 = -v*d - 2*i + 3*i - 12. Determine z(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 56346707, 112693414, 169040121, 225386828, 281733535?\n\"Answer: 56346707*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 10144800 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d - 25 - 23 = 0. Suppose -2 = -l + d. Calculate the remainder when 26 is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a - 17 = 7. Let n(h) = 2*h**2 + 5*h - 3. Let q be n(3). What is the greatest common factor of q and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*g - 276 = 18*p, p + 1559*g = 1562*g - 21 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2 - 1. Let a = -40.61 - -41. Let q = 0.01 + a. What is the nearest to f in q, 0.2, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 4? (a) -5749 (b) 1 (c) 3 (d) -1\/4 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = 6*k**2 - 22*k - 345. Is r(-12) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 60\/4*2\/(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = -27 + 29. Suppose -k*u - 2*v + 92 = 0, v + v - 10 = 0. Is u a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((3*sqrt(352) - sqrt(22))\/(sqrt(2) - sqrt(36)\/sqrt(2)))**2*1.\nAnswer: 1331\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = -7 + 2 - 3 - 3*g - g**3 + g + 13*g**2. Let t be k(12). Let y = -64 + t. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 124\/19 - 15023\/2299. Let w be (-27)\/3 - (-21 - -13). Is w at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.4 + 0.3. Let q = -4225857\/34 + 124290. Put 3, m, -4, q in increasing order.\nAnswer: -4, m, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -5\/136 and -65\/6426.\nAnswer: 25704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y = 8 - 20. Let h = -2 - -8. Calculate the greatest common factor of y and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 55914249.\nAnswer: 3, 379, 49177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m = 20 + -17.4. Let y = m + -2.574. What is y rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*h**2 + 6*h**2 + 25*h**2)*(2*h**2 + 0*h + 0*h)*(-2*h + 0 + 0) + (4*h**2 - 5*h**2 - h**2)*(h**3 + 2*h - 2*h) + h**5 - h**5 + h**5.\nAnswer: -113*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -12859*u + 6419*u + 6438*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 3687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor 15*g**2 + 82*g + 104.\nAnswer: (g + 2)*(15*g + 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Divide -1665 by 333.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -1533 (base 13) to base 9\nAnswer: -4206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express 14 + 7*u**2 - 41 - 2*u + 10 + 13 as q*u + h*u**2 + s and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = 5*c + 23, 2*c - 116 = 4*u. Let q = u - -36. Suppose -1255 = -q*n + 7030. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence fg when two letters picked without replacement from fggmgmdmfdmm.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r*r**(-9)*r**3\/r)**(-3\/16))**4 assuming r is positive.\nAnswer: r**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*p + 2*p + 5*a - 19 = 0, -a + 5 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*m**2\/8 - 42495*m\/8 + 42519.\nAnswer: -3*(m - 8)*(m + 14173)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -0.115327 rounded to two dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 1385 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:08 AM and 7:27 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -840, -3371, -7590, -13497, -21092, -30375, -41346?\nAnswer: -54005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 81916?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2.3 in 8, 2, -0.8, 5, 0.7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g = 23 + -51. Let a(i) = -2*i - 22. Let j be a(-14). Calculate the remainder when 53 is divided by j\/14 + (-744)\/g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 15 + -7. Let l(u) = -2*u - 4 + 3*u + u - u. Let f be l(w). Solve 0 = f*g - 3*d + 5 - 24, -5*d = 5 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7140694 + 7140694 + 6*k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 708 minutes before 2:55 AM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v = 14 + 0. Suppose 10*f - v*f = -20. Suppose 2*k = -f*x + 676 + 1389, -k = 0. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*g**6*t - 12355*g**4*t**3 + 110*g**2*t**3 + 2*g*t**3 - 13*g*t**2 - 4 wrt g.\nAnswer: -240*g**3*t - 296520*g*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -757*f - 886*f + 4509*f**5 + 0*f**3 - 3009*f**5 + 0*f**3 wrt f.\nAnswer: 30000*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -399, -799, -1201, -1605, -2011, -2419?\nAnswer: -2829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 16537 and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(88) + (sqrt(88) - 1*(2*sqrt(88) - sqrt(88))) - sqrt(88))\/(sqrt(72)*-2 + sqrt(72)) - ((sqrt(1100) + 0)*3)**2*-1.\nAnswer: 9900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 2864 divide 425223228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put together -3 and -185343.87546626.\nAnswer: -185346.87546626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -183, -266, -357, -456, -563, -678, -801?\nAnswer: -932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -7 divided by 1391\nAnswer: -7\/1391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in t**3 + 1441283*t - 1441283*t.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) be the second derivative of 115\/6*n**4 + 2 + 0*n**3 - 64*n**2 + 9*n. Find the first derivative of p(v) wrt v.\nAnswer: 460*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2234084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from nnynnhnyi. Give prob of sequence yyni.\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -2*y + 2. Let p(z) = 8 + 0 - 5 - 2. Determine 4*p(d) - q(d).\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8192 is divided by 38.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -3444 divided by 3?\nAnswer: -1148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v = -921\/8 + 115. Which is the second biggest value? (a) 5 (b) v (c) 3 (d) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 - (3 + -10) - ((5 - -15) + -8).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = 3 - 2. Let l = 0.06 + -0.26. Let y = 0.3 + l. Which is the third smallest value? (a) y (b) -2\/13 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = 2*j + 2. Let v(f) = 19*f + 0 - 23*f - 5. Let q(t) = -5*s(t) - 3*v(t). Calculate q(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 0, 22, -15, 4\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d**3 - 40*d**2 - 35*d = 0. Calculate d.\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 6 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = -6*i. Let m(j) = 4123*j + 29. Calculate z(m(w)).\nAnswer: -24738*w - 174","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (-9*s + 9*s - s**2)*(0 + 3 + 0)*(-4 + 3 + 3)*(-2 + 1 + 2).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 38333 (base 10) to base 12\nAnswer: 1a225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 32\/4*16\/128?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 35 and 195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 676135930*l + 485101591?\nAnswer: 676135930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 56 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*w + 0*w + 2*w)*(6683398 + 2812*w**3 - 6683398).\nAnswer: -5624*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-2)\/(-12))\/(65\/1170). Suppose 15\/4*a**2 + 3\/4*a**3 + j*a + 0 = 0. What is a?\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 666, 497, 328, 159, -10?\n\"Answer: -169*t + 835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12610643 - 6305153 - 3*z**2 - 6305490.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round -189600 to the nearest ten thousand.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose x**5 + 2*x**4 - 36*x**3 - 104*x**2 + 128*x + 384 = 0. Calculate x.\nAnswer: -4, -2, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round 203980.386 to the nearest 1000.\nAnswer: 204000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 60 and 660.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(5*sqrt(55))\/sqrt(5))**2.\nAnswer: 4400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -3 (b) -2\/29939 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round -161.8797 to one decimal place.\nAnswer: -161.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.0099 - -236.9901. Let m = v - 240. Which is the second smallest value? (a) 0.5 (b) -19 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 10133152533 - -5?\nAnswer: 10133152541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*k - k + 3*k - 6*k.\nAnswer: -11*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wdgd when four letters picked without replacement from dgjwjjgggdj.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = 7*q + 33. Suppose 0 = 6*j - 2*j - 3*z + 8, 2 = 2*j - 3*z. Let w be p(j). What is the hundreds digit of 1 + w - (12 - 114)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t + 716 = w, -1428 = -4*t + 109*w - 112*w. What is the lowest common multiple of t and 205?\nAnswer: 14760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1069*g**2 - 4*g + 1744*g**2 - 672*g**2.\nAnswer: 3*g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Determine s, given that 2*s**2 - 738828*s - 12560654 = 0.\nAnswer: -17, 369431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 30866 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:55 PM and 7:17 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: ((-333)\/74)\/(3\/(-4))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -7\/574240 and 113\/2025360?\nAnswer: 149876640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ccccccckccckcccccc. What is prob of picking 2 k?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 533, -1, 4?\nAnswer: 533","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 1417141760 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 129, 1569, 4289, 8283, 13545?\nAnswer: 20069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = 48 + -12. Calculate the common denominator of r and ((-98)\/20 - 0) + -1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 14*c + 3*f = 166, 292*f = 3*c + 299*f - 417 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: (-14)\/(490\/12810*427)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 k, 1 z, and 1 l when four letters picked without replacement from zzkbtztlzbblzbzbtz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 64 and 91960?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -665437*w**6 - 400*w**2 - 389*w wrt w?\nAnswer: -79852440*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o = 11949 - 334647\/28. Let d = 94123\/16660 - -3\/8330. Calculate the common denominator of d and o.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -13\/144526120 and 83\/30.\nAnswer: 433578360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 157, 160, 163, 166?\n\"Answer: 3*k + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u\/u**(3\/10))\/u**(6\/7)*((u\/(u*u*u*u\/u**(-6\/5)))\/u)\/u**(-5\/7) assuming u is positive.\nAnswer: u**(-65\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (1*sqrt(147)*1)**2 - ((sqrt(18)\/sqrt(6))**2 + 5 - (sqrt(192) + sqrt(192) + (sqrt(192) - (sqrt(192) + 0)))**2).\nAnswer: 909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u = 583 - 585. Which is the fourth biggest value? (a) u (b) -5 (c) 0.1 (d) -26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 965*w + 43994 + 17161 = -105787 + 28947 for w.\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 380*q = 372*q + 24 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 302133 (base 4) to base 14\nAnswer: 126b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 18 and 14808.\nAnswer: 44424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 715291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = -w**3 - 3*w**2 - w + 1. Let t be c(-3). Is 1 + t\/2*353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-526)\/(-6)*(9 - 6).\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 333 and 592.\nAnswer: 5328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m be (2\/6)\/((-13)\/429). Let u(r) be the second derivative of -r**3\/3 + 9*r**2 - 7*r. List the prime factors of u(m).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -8b2a4 + -2?\nAnswer: -8b2a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -93914, -93653, -92948, -91577, -89318, -85949, -81248?\n\"Answer: 37*z**3 + 2*z - 93953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 83172.661 rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 301790 - -4?\nAnswer: 301794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) be the second derivative of -j**6\/180 - j**5\/60 - j**3\/2 - 5*j. Let r(p) be the second derivative of w(p). Find the second derivative of r(c) wrt c.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.266 - 0.128. Let n = -28.694 - s. What is n rounded to the nearest integer?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4 - (3 + 5 + (3 - 3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-77 + 170 - 83)*(77 - 77 - 83*u).\nAnswer: -830*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = -460*k - 21609. Let b be m(-47). Solve 21*n - b = 20*n - 3*s, -4 = 4*n - 4*s for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 15 and 3118295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express -3*g**2 + 7*g + 9*g**4 - 94*g**3 - 9*g + 90*g**3 + 4*g**2 - 2 in the form c + j*g**3 + a*g**4 + z*g**2 + w*g and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = -f**3 + 14*f**2 - 8*f - 63. Calculate j(13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = x**2. Let v(w) = 3 - 3 + 168*w - 76*w. Calculate b(v(n)).\nAnswer: 8464*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (-l + l - 2*l)*(-2 - l + 2)*(3*l - 16*l + 5*l)*(3 - l - 3)*(-2 + 2 + 2*l).\nAnswer: 32*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m be 1\/4 - 45\/(-12). Suppose -m*x = 3*l - 21, -3 = 3*x - 2*x. Find the third derivative of 21*d**2 - 2*d**4 - 6*d**2 - l*d**4 wrt d.\nAnswer: -312*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 83805.79 micrograms to milligrams.\nAnswer: 83.80579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-one eighths of a century in months?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x + 30 = x + 2*w, -4*x + w + 33 = 0. What is the lowest common multiple of 4 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -8*u**5 - 7*u - u + 11*u + 2*u - 2*u - 3*u**5 + (3 - 2*u**2 - 3)*(-7*u**3 - 3*u + 3*u) + 2*u**4 - u**5 - 2*u**4.\nAnswer: 2*u**5 + 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 23117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 59644 is divided by 674?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 29466 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*m - 2*m - 874 + 874 - 11*m.\nAnswer: -19*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 3 + 1 - 4 = 108*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.01 - 0.01. Let j = n - -0.5. Which is the nearest to 0.1? (a) -3 (b) j (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -631, -2519, -5667, -10075, -15743, -22671, -30859?\n\"Answer: -630*s**2 + 2*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is ((-611762)\/(-57))\/((-7)\/(42\/(-4))) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(sqrt(6)\/(2*sqrt(2)))**2.\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = 258*g - 258*g + 15*g**3. Let p(l) = 22*l**3. Suppose 10*q = q - 45. Determine q*p(u) + 7*x(u).\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = 39*w**3 + 3*w**2 + 11*w + 90. What is c(0)?\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 0.17 and -3911679.7?\nAnswer: 3911679.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 8756 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 5390 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-1386)\/171 - -8 - (-118)\/38. Solve s - 4 = -a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -22 + 36. Suppose -5*y + 5*f - 1 = 4*f, y = 5*f + 19. Let s = v + y. What is the highest common divisor of 65 and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from mkbssbx. What is prob of sequence mkx?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 92 = 4*v + 4*c, 0*v + 4*v - c - 87 = 0. Let h be v\/(-4)*(2 + 1230)\/(-14). Calculate the greatest common factor of 33 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 697 minutes before 11:45 AM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 7981728 and 8732.7?\nAnswer: 7972995.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = -d**3 - 42*d**2 - 442*d - 303. Calculate l(-17).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6440344 is divided by 743.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*d - 3*j - 4 - 2, 24 = 4*d - 3*j. Solve d*i - 25 = -2*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = -z - 4*o + 21, 5 = 5*z - o. Suppose -x = z*x. What is the units digit of (-1)\/(-1) + (2 - x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 1\/6 of a day?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 712070487 to the power of 1\/2, to the nearest integer?\nAnswer: 26685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 3 - 3238?\nAnswer: -3235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -13946552, -27893081, -41839610, -55786139, -69732668?\nAnswer: -83679197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Add together -0.4 and -363.\nAnswer: -363.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x be 6*1*154\/21. What is the highest common divisor of 11 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose l = 4*g - 13, 3 = -l - 2. Let h = g - 0. Suppose 3*u - 5*u = -5*k + 137, -3*k + h*u = -83. Is k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 - 14 = -p. Suppose -3*l = -1 - p. Calculate the remainder when 14 is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9576000 rounded to the nearest 100000?\nAnswer: 9600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 2132 times 7\nAnswer: 14924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a = -25813 + 25813.06. Is 2713 at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = k**2 - 5*k - 84. Let f be r(13). Solve -f = -4*j - j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/5 of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 5 - 1ab?\nAnswer: -1a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = -855412*w + 0 - 7 + 855410*w. Let s(i) = -i**2 - 2*i - 3. Let a be s(-3). What is k(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = 2*a**3 + 4*a - 1. Let c = 90 + -86. Let x(i) = 3*i**3 + 7*i - 1. Give c*x(b) - 7*z(b).\nAnswer: -2*b**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1965 - -1964.97458. Round f to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -43\/27 and ((-145)\/20)\/(9\/(-30))?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 9\/15*410\/(-287).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is (2 - -387) + -16 + 22 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*i**2\/5 + 54*i\/5 - 56\/5.\nAnswer: 2*(i - 1)*(i + 28)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z = -3 - -6. Suppose -5*l + 120 = -z*y - 2*y, -3*l = 4*y - 72. What is the greatest common factor of 36 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 785866 < 785866?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 5*f**4 - 2*f**3 - 4687522*f**2 + 764926759.\nAnswer: 20*f**3 - 6*f**2 - 9375044*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is ((-32)\/(-44))\/((-368)\/(-46))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 8.028 + -11.04. Let s = y - -3. Round s to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1011*i**2 + 375*i**2 + 1 - 1 + 643*i**2.\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in -7, 36, 81, 128?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 11333022312 - 11?\nAnswer: 11333022301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = -p**3 + 6*p**2 - 3*p - 5. Let x be (-5 - -6) + 1*4. Let b be k(x). Let o(d) = d**3 + d**2 - 7*d. Is o(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.5? (a) 76\/7 (b) 4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 l, 1 m, and 1 u when three letters picked without replacement from uummmululumumuluumm.\nAnswer: 63\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -601, -1578, -2557, -3538?\n\"Answer: -v**2 - 974*v + 374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0.008895 rounded to four dps?\nAnswer: 0.0089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -10 + 8 - (0 + -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = -15*s - 315. What is the remainder when 3476 is divided by w(-22)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 divided by 19231.\nAnswer: -2\/19231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is (60\/22)\/((-3130)\/(-20658))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Divide 122 by -122.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = -36*b - 536. Let n be g(-15). Let q(p) = 2*p + 5. Let f(v) = -2*v - 4. Determine n*q(r) + 5*f(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t = -24 + 19. Let p be ((-24)\/30)\/((-2)\/(-5)). Sort p, t, -1.\nAnswer: t, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -447010 - 1179610 = -20*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = w**2 + 15*w + 39. Let r be l(-12). Suppose -2 = -5*s + 3*d - 11, r = -2*s + d. Solve s = -0*n - 3*n + 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 4 + 0)*(-s**2 + 3*s**2 + 0*s**2) + (-1 + 5 - 5)*(2*s + 3 - 3)*((3 - 5 + 0)*(7*s - 3*s - 2*s) + 2*s - 3*s + 0*s + 0*s - 2*s + 15*s).\nAnswer: -20*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 134*n - 1277.\nAnswer: 134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/2? (a) -0.2 (b) -0.4 (c) 1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*z**2 - 10552212*z - 13918647261618.\nAnswer: -2*(z + 2638053)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q = 451 + -261. Let a = 188 - q. Sort 3, 1, 2, a in decreasing order.\nAnswer: 3, 2, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -2 - -19 - (-122)\/(-427)*-63\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 2\/(-5) + 135\/25. Let s(o) = -98*o - 7815. Let z be s(-80). Solve -z = -5*j + 7*v - 2*v, -v = d for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (42\/((-3696)\/220))\/((-1)\/(-2)) - (-19 + -1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 376\/5 or 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:50 PM and 12:50 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j = -13 + 4. Let z be 18158\/(-18) + 2\/j. Let u = -22229\/22 - z. Calculate the common denominator of u and 85\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 107\/25866 and 139\/1034640.\nAnswer: 1034640","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} {"text":"Question: Let i(t) = 2*t**2 - 278*t + 9055. Let s be i(87). Suppose 3*c + 99 = 2*b, 5*c = c - 20. Calculate the greatest common factor of b and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 300950 and 260?\nAnswer: 601900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7779544175.\nAnswer: 5, 13, 647, 36997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = -13*d**2 + 7*d + 15. Let p(s) = 15*s**2 - 8*s - 19. Let a(t) = -4*p(t) - 5*w(t). Let i(q) = 7*q**2 - 5*q + 2. Determine -8*a(v) + 5*i(v).\nAnswer: -5*v**2 - v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b = -0*b. Suppose -2 = -2*a - b. Let o(q) = 3*q - 3*q - a - q. Give o(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 12, 2, -0.1, -0.2, 123, 1.6 in descending order.\nAnswer: 123, 12, 2, 1.6, -0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 1894090 a multiple of 485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 183639875.\nAnswer: 5, 163, 9013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -2935 + 1450 = -378*p + 5697 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor -l**5 + 3*l**4 - l**3 - 3*l**2 + 2*l.\nAnswer: -l*(l - 2)*(l - 1)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 36 and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = -12*b - 6. Let f be u(-7). Suppose q = 7*q + q - 182. What is the highest common divisor of f and q?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -966019*a**3 + 241500*a**3 + 241500*a**3 + 241525*a**3 + 241526*a**3.\nAnswer: 32*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 1\/10 (b) 1867 (c) -0.4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = c**3 + c**2 - c + 1. Let s(y) = 2*y**3 + 7*y**2 - 2*y + 3. Let x(w) = -6*n(w) + 2*s(w). Let b be x(4). Solve -13*q + b*q - 20 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1672 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = 97*o**3. Suppose 3*f = 27*f + 89*f + 791. Let k(p) = 48*p**3. Determine f*k(m) + 3*b(m).\nAnswer: -45*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d = -40.996 - -41. Round d to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -0.3 (b) 6 (c) 3\/4 (d) -2\/9 (e) 1\/246 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q - g = -145, -g = -5*q + g + 165. What is q rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5480880?\nAnswer: 2, 3, 5, 41, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 5, n: 1, z: 1, f: 1, o: 1}. Give prob of picking 1 z and 1 o.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -5.292 or -826?\nAnswer: -826","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2927601 and 138?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = z**3 - 8*z**2 - 9*z + 2. Let l be u(9). Let m = 10 - l. Is m a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve l - 16 = 4*x, 5*l - 29 = -9*x + 12*x for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u = 213 + -209. Solve 15 = o + a - 3*a, 15 = -o - u*a for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = -10*p**2 - 13*p + 19. Let u(h) = 3*h**2 + 4*h - 6. Let f be (-65)\/9 - (-4)\/18. Let r(b) = f*u(b) - 2*y(b). Determine r(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1 + 13. Let f(r) = 2*r**2 + 6*r - 5. Let o be f(4). Let h = o - n. Does 13 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a - 248 = -5*b + 972, 5*a = 3*b - 748. Let o = -99 + b. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*b**5 + 336*b**4 + 13772*b**3 - 28560*b**2 + 14450*b.\nAnswer: 2*b*(b - 1)**2*(b + 85)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r\/(r\/r**(-5))*r)\/r**4)\/((r*r*r**(-1\/9))\/(r**(-7)*r)) assuming r is positive.\nAnswer: r**(-143\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 158*l - 634 + 950 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 1.0218 rounded to 2 dps?\nAnswer: 1.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -12433, -24811, -37119, -49321, -61381, -73263?\n\"Answer: 6*v**3 - v**2 - 12417*v - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = -4*b - 4. Let g(i) = 5*i + 5. Let w be 82\/14 - 35\/(-245). What is w*r(h) + 4*g(h)?\nAnswer: -4*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is ((-93)\/(-62))\/((5 - 792\/160)*-2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -103 - -7.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 177 in 0.1, 0.9, -0.01, 1\/4?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -25 - 1.473\nAnswer: -26.473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) be the third derivative of -u**6\/240 - u**5\/60 + u**4\/12 + u**2. Let r(y) be the second derivative of w(y). What are the prime factors of r(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = -14799*x**3 - 11*x**2 - 26*x - 13. Is b(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -72 + -10. Let t = -79 - z. Solve 4*p + t = -5 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-68)\/(-12) + -5)\/(3\/18). Let r be (-4)\/10*(0 + 2\/g). Which is the nearest to -1\/3? (a) r (b) 0.3 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 0 by -7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) be the third derivative of z**8\/504 - z**6\/45 - 20*z**2 + z. Factor x(r).\nAnswer: 2*r**3*(r - 2)*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1.23? (a) 1\/375 (b) 35 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s = 789 + -788. Let h be (104\/39)\/((-21)\/(-9) + s). Let -2\/5*m**2 - h*m - 2\/5 = 0. What is m?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -695\/7 or -98?\nAnswer: -695\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.01 and -8.1995.\nAnswer: -0.081995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 24 (b) 2 (c) -2\/11 (d) -40 (e) 3\/2 (f) 0.04 (g) 7\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 6\/25 of a kilogram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n + z + 10 = 0, -n + 2*z + 1 + 4 = 0. Put 5, n, 2 in descending order.\nAnswer: 5, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 7 + -2. Sort -4, o, 31 in descending order.\nAnswer: 31, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 12685\/18 or 705?\nAnswer: 705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*x**2 - 5922*x + 29535.\nAnswer: 3*(x - 1969)*(x - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -13 = -17*n + 21 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 23\/49754 and -69\/16?\nAnswer: 398032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 0.2, 66, 3, -5, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = -2*i**2 + 3*i - 1. Let z be d(4). Is (16503\/(-4))\/(z\/28) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-3)\/423*(-54)\/(-42))\/((-5)\/((-140)\/(-24))).\nAnswer: 1\/94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 156 + 8\/12*6.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -21027\/147299 - -2565883454\/6922316505. Let c = j - 7\/1446. What is the common denominator of c and 63\/20?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/6 of a minute in milliseconds?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -5 divided by -1357?\nAnswer: 5\/1357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 87 a factor of 24232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z - 2*z = -18. Suppose -6 = -z*d + d. Suppose -12 = d*q - 141. What is the remainder when q is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -8.2 - -7.8. What is the fourth smallest value in 0.07, -2, 2, x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4\/11*w**3 + 0*w + 0 + 0*w**2 + 10\/11*w**4.\nAnswer: 2*w**3*(5*w + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve y + 11*y + 0*y = -3*y - 45 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = -2*y - 4. Let h be i(-4). Let u be 1*h - (1 - -8). Sort -0.2, u, 2 in descending order.\nAnswer: 2, -0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -29\/2110 and -67\/844.\nAnswer: 4220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round 0.287262 to 3 dps.\nAnswer: 0.287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*p + 256 - 382. Solve -2*u - 55 + p = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: (-1)\/(-2)*-15*6\/(-15)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -0.56891 rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x + q - 36 = 0, -2*x - 3*x + 4*q = -43. Calculate the remainder when 1778\/42 - (-1)\/(-3) is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r = -r. Suppose r = -2*j + 3*q + 5, 2*j - 5*q + 45 = 4*j. Suppose 0*v + j = v. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.01 and 172?\nAnswer: -1.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i = 382 - 178. Suppose -i = -3*k - k. Let j be 3\/(5 - k\/12). Solve j*o = h + 7, 2*o - 40 = -5*h - 3*o for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -3022 + 12441?\nAnswer: 4414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1830*b**2 - 671*b**2 - 528*b**2 - 633*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = -6359*k**2 - 28*k + 340. Let s(j) = -3180*j**2 - 16*j + 171. Let l(w) = -7*s(w) + 4*y(w). Find the first derivative of l(x) wrt x.\nAnswer: -6352*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 12, 6, 10, 30, 72, 142, 246, 390?\n\"Answer: q**3 - q**2 - 10*q + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l + 5 = h, 3*l + 2*l = 2*h + 1. Let w be (2 - h)\/2 - 2. Let v be -2 - w - -3*2. Calculate the greatest common factor of 54 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = -28*d**3 - 112*d**2 - 2*d - 6. What is z(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 64.78 rounded to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 13 and 2087839?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y = 31 - 16. Suppose 3*b - y + 0 = 0. Solve 5*k + b*x - 17 = x, k = 3*x + 11 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:42 PM and 5:06 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h = 68 - 96. Let o = -22 - h. Let m(t) = 2 + 0*t**3 - 1 - t**3 + 6*t**2. Calculate m(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = -l**2 - 15*l - 43. Let k be b(-4). Which is smaller: 15\/22 or k?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 482 times -88717?\nAnswer: -42761594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 20 a factor of 1796322700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 693497217*d**2 + 502950 wrt d.\nAnswer: 1386994434*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t**5\/4 - 187*t**4\/2 - 7485*t**3\/4 - 6246*t**2 + 38124*t = 0. What is t?\nAnswer: -353, -12, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 1 greater than 552?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Determine r so that 2*r**3 - 4088*r**2 - 124502*r + 128588 = 0.\nAnswer: -31, 1, 2074","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 3 - (-9 + (0 - 2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = 390*f. Let z(l) = -15*l. Give z(t(o)).\nAnswer: -5850*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 23243817.\nAnswer: 3, 59, 131321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/7? (a) 2\/9 (b) -0.2 (c) 1 (d) -4 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 3702 and 2468?\nAnswer: 7404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate -489440 divided by -35.\nAnswer: 13984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j = 84.4 - 81.4. Which is the nearest to -0.1? (a) 3\/7 (b) 10\/3 (c) j (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 (base 16) in base 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -w**2 - 14*w - 7. Let a be z(-2). Suppose -2*x + 14*n - a*n + 11 = 0, -5*x + 21 = n. Solve x*c + 12 = -2*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = b**2 - 4*b. Let t be p(0). Suppose t = -4*s - 5*c + 299, c = s - c - 91. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*(sqrt(156) - (1*sqrt(156)*-4 - sqrt(156)))*-3)\/(sqrt(48)\/sqrt(4)*5*-6*6).\nAnswer: -3*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = n**3 - 11*n**2 - 9*n + 5. Let k be b(9). Let t be 2\/(-4) - -3*(-2415)\/10. Let f = k - t. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 5*f + 0*f - 6*f**3 - 7*f in the form v*f**3 + i + h*f**2 + q*f and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 211*j + 716 + 18334 = -424*j for j.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -13061 + 28625 - 13260 = -16*b for b.\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 679 (base 15) in base 7?\nAnswer: 4161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 445 minutes after 8:05 AM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:25 AM and 3:15 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1092 + 1091.8. Which is the closest to 2? (a) -0.3 (b) h (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 39 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*l = -12 - 9. Let z = 507 - 356. Let x = -151.1 + z. What is the closest to x in l, -0.2, -24?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -36 * -4.11\nAnswer: 147.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) be the second derivative of f**7\/42 - 14*f**6\/15 + 101*f**5\/20 - 61*f**4\/6 + 8*f**3 + 2*f + 251. Factor a(s).\nAnswer: s*(s - 24)*(s - 2)*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 2\/75 - 83\/300. Suppose -10 + 2 = -2*y. Suppose k = y*k. What is the nearest to -1 in q, -0.5, k?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) be the third derivative of c**5\/120 + c**3\/6 + 5*c**2. Let h(u) be the first derivative of k(u). Let m(l) = l**2. Give h(m(w)).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -5, -20, -37, -50, -53?\n\"Answer: w**3 - 7*w**2 - w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = 165 - 165. Let g be 4\/(-2) + (-6)\/(-1). Let i be (-5 - (2 - 3)) + g. Solve p = -3*h - i*h + 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 443 - -125. Suppose -g + 126 = 5*q, 4*g + 0*q = -4*q + w. List the prime factors of g.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (49\/((-980)\/16))\/((-2)\/(-15))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-8)\/(-12) + (-44)\/(-6). Let q = -356 - -490. Suppose -q*h + 15 = -133*h. Solve -i - k = 4*b, -h + 5 = -2*i + 5*b for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2.07 - -22.\nAnswer: 24.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -126 = -10*w + 54. Is w a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1727726 and 27643616.\nAnswer: 27643616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w = -28 - -12. Let x = -15 - w. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = -5*t**2 - 2*t - 5. Suppose 8*w + 6 = -26. Let c(i) = 11*i**2 + 4*i + 11. Give w*c(n) - 9*l(n).\nAnswer: n**2 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = -5*c**3 - 16*c**2 - 175*c + 11. Let r(m) = -m**3 - 3*m**2 - 35*m + 2. Calculate 2*g(h) - 11*r(h).\nAnswer: h**3 + h**2 + 35*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate -11 + (0 - 0) + (53 - (-5 + -26 + 45)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 89, 222, 355, 488, 621, 754?\nAnswer: 887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m - 1449 = -24*m. Let x = m + 17. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 126022589 to the power of 1\/3, to the nearest integer?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*j**2 - 75*j + 180.\nAnswer: 5*(j - 12)*(j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 2, 48 in descending order.\nAnswer: 48, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 53 minutes before 8:18 AM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z = -873 + 1003.4. Round z to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify l**(-2\/5)\/(l\/(l**(-21)\/l*l)) assuming l is positive.\nAnswer: l**(-112\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: c (base 14) to base 6\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 215 is divided by 100?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a + r + 53 - 51 = 0, -3*a + 38 = 8*r. Let g(t) be the third derivative of 3\/17*t**3 + 0 + t**a + 0*t + 1\/510*t**5 - 1\/34*t**4. Factor g(x).\nAnswer: 2*(x - 3)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = -3*v. Let s(c) be the third derivative of 13*c**4\/24 - c**3\/3 + 1220*c**2 + 1. Give s(x(a)).\nAnswer: -39*a - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2 - (16\/(-3))\/2) + (-442)\/1014?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -119*v**4 + 1511*v**3 - 2*v**2 - 1063345*v wrt v?\nAnswer: -1428*v**2 + 9066*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -13*a**5 - 4250*a**4 + 546749*a**2?\nAnswer: -780*a**2 - 102000*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 4.294212 and 0.29?\nAnswer: 1.24532148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h be 24\/9 + -3 + 17 + -26 + 10. Factor 2\/9*b + h*b**2 - 2\/9*b**3 - 2\/3.\nAnswer: -2*(b - 3)*(b - 1)*(b + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = b**3 - 7*b**2 - 8*b + 12. Determine w(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**2)**(-17)*(b**(2\/3)*b)**(-2\/133) assuming b is positive.\nAnswer: b**(-13576\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = l**2 - 203*l + 3377. Give n(17).\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 611850692.\nAnswer: 2, 19, 23, 350029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -4*h**4*q + 6*h**2*q - 12*q + 4 with respect to h.\nAnswer: -16*h**3*q + 12*h*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 0.10472 times 0.335\nAnswer: 0.0350812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f + 4*a + 8 = 0, -13 = 4*f - 5*a + 22. Let h = 8 - 17. Let y = f - h. What is the closest to 1\/2 in y, -4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 115, 174, 339, 664, 1203, 2010, 3139, 4644?\nAnswer: 6579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 6*x + 2 + 34 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 178 in -4, 1\/4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p = 2.12 - -12.28. Let y = p - 14.9. What is the second biggest value in y, -3, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -46 = 4*h - 14. Let t(f) = -f**3 - 10*f**2 - 16*f + 2. Let v be t(h). Suppose l + 2*r = 32 + 56, 178 = 2*l + v*r. Is l a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose a + 0*a = 4. Suppose 4*p = -3*h + 29, -9*h + 6*h - 3*p = -30. Suppose -4*o - 4*s = -7*s - 26, -o + 3*s = -h. Solve -j - j - a = 0, -4*j = o*v + 8 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = -z**3 - 3*z**2 + 10*z + 1. Let i be b(-5). Put -1312, 2, i in increasing order.\nAnswer: -1312, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 16 divide 3\/(-24 - -30) - 39\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = 11020*y + 4998. Let s(u) = -5505*u - 2498. Let k(h) = 7*s(h) + 4*t(h). Differentiate k(n) with respect to n.\nAnswer: 5545","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 5015268 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*j**2 + 61079320*j + 183237996.\nAnswer: -4*(j - 15269833)*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f + v - 1 = 0, -2*f + v = -2*v + 3. Put f, 3\/4, 5 in descending order.\nAnswer: 5, 3\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 4 + -6. Let d = -0.13 - -4.13. Let n = -3\/10 - -41\/70. Which is the nearest to -2? (a) n (b) q (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose n + 2*n = n. Suppose -g - 4*w + 85 = 0, -545 = -n*g - 5*g + 4*w. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-36169339)\/(-902) - 2\/44.\nAnswer: 40099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2018 is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Work out 701 + 23.\nAnswer: 724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x = -9 + 9. Suppose x = 3*a - a - 8. Suppose c - 4*c + 3*p = -186, a*c - 2*p = 238. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1521706059?\nAnswer: 3, 23, 43, 7433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n = -8.0001 - -8. Round n to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -23 - -45. Let p be (-2)\/(-3) + (-2)\/(-6). Calculate the remainder when k is divided by ((-5)\/(-15))\/(p\/24).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = 7*h + 12. Let x(z) = -4*z - 6. Give 6*b(y) + 11*x(y).\nAnswer: -2*y + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 138198 is divided by 9870.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-3 + 0)\/(2\/(-2)). Let s(w) = -7*w - 15. Let t be s(-3). Suppose t = -2*c, -8*d = -4*d + 5*c - 9. Calculate the highest common factor of d and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(-1*((sqrt(1539) - sqrt(1539)*2) + sqrt(1539))*3 - 5*3*(sqrt(1539) + 1*sqrt(1539)))**2*5.\nAnswer: -13851000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = -l - 3. Let a be u(-3). Is 3 + a + 54 + 2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 548 - 449. What is the first derivative of -78 - 131 - 65*b**4 - x*b**4 wrt b?\nAnswer: -656*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*l = -2*c - 14, 0 = 4*l - 3*c - 178 + 192 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b be (0 - 20\/2)\/(328\/(-820)). Solve 17*u = -b + 76 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 94701 to the power of 1\/2, to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round 0.478207 to four dps.\nAnswer: 0.4782","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*b**4 - 44*b**3 - 52*b**2 + 44*b + 48 = 0 for b.\nAnswer: -1, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Divide 2267 by 6.\nAnswer: 2267\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -x + i - 8 = 0, -5*i - 23 = -3*x - 53 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = 2*u**3 + 16*u**2 + 15*u + 302. Determine l(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1020 is divided by 120.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/2? (a) -78 (b) 2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -512.29 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 0.156*0.3\nAnswer: 0.0468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s = 75 - 51. What is the third derivative of 0*d**3 - s*d**3 - 54*d**3 - d**2 + 36*d**2 wrt d?\nAnswer: -468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:12 AM and 1:52 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 633308 and 16025?\nAnswer: 15832700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = -4*g**3 - 3*g**2 + 7*g. Let b(f) = -7*f**3 - 5*f**2 + 14*f. Give 3*b(w) - 5*k(w).\nAnswer: -w**3 + 7*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 841 or 840?\nAnswer: 841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = l**3 + 10*l**2 - l - 10. Let x be d(-10). Let v be (x - -3) + (-16 - -2). Let g = 27 + v. Does 7 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = -28 + 18 + 10*o + 0 + 10. Determine q(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1.99 + 1.2. Round b to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -158\/18043 or 1?\nAnswer: -158\/18043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0824404 decades in millennia?\nAnswer: 0.000824404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 d and 1 u when two letters picked without replacement from uddudpduududdpuppudu.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b + 10*b = -9. Let c = 11 + b. Calculate the remainder when 16 is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -28\/3 and (-2)\/12 + ((-33)\/36 - -2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = -2*s**2 - 351*s + 1790. Give y(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w = 5332.98 + -5333. Which is the closest to w? (a) 0 (b) 2 (c) -102 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = 2*l + 5. Let a be w(5). Suppose 9*z - 4*z - a = 0. Suppose -z*g = 103703 + 16297. Round g to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t - 20 = 4*u, -5*t + 0*t + 16 = -2*u. Let c = -741 + 739. Sort u, 5, c in decreasing order.\nAnswer: 5, c, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) be the third derivative of 0*s + 0 - 32*s**2 - 2*s**3 - 2\/3*s**4 - 1\/15*s**5. Find n such that v(n) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 98 and 1358?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = -8*f + 11. Let o(q) = 3*q - 4. Let c(l) = -11*o(l) - 4*s(l). Let w(x) = 3 + 3*x - 3. Give w(c(a)).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -946*a*q*u - 698*a*q wrt u?\nAnswer: -946*a*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q = p + 20452 - 197334, -2*q = 4*p - 353754. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = -m**2 + 5. Let h be d(0). Let n be h - 1*(-2)\/(-1). What is the smallest value in -4, n, 2\/17?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1976.\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is next in 17741, 70948, 159621, 283760, 443365?\nAnswer: 638436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0.4 or 8001630?\nAnswer: 8001630","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = -z**3 + 7*z**2 + z - 1. Let c(j) = 7*j**4 + 3*j**3 - 21*j**2 - 33*j - 268. Let m(p) = c(p) + 3*s(p). Differentiate m(n) with respect to n.\nAnswer: 28*n**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -14*x - 2*x - 30 + 32*x + 6*x.\nAnswer: 22*x - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*n**2 + 0*n**2 + n**2 + (-n + 3*n - 4*n)*(-2*n + 2 - 2) + 3*n**2 + 2*n**2 - 4*n**2 + (-1 + 6 - 3)*(5*n**2 - 5*n**2 + 2*n**2).\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Work out 60 - -28548.15684866.\nAnswer: 28608.15684866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express 1886*p + 5 - 5*p**2 - 4 - 1885*p - p**4 in the form w*p + a*p**4 + v + o*p**3 + h*p**2 and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*h + 8*h - 36. Let q be h*(60\/16 - 3). Let -7 + 11*u + q*u - 18*u**2 - 4*u**4 + 4*u**3 + 9*u**4 - 4*u**4 = 0. What is u?\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*sqrt(560)*-1)\/((-4*2*sqrt(5) - sqrt(5)) + (sqrt(320) - (1*sqrt(320) + sqrt(320))) + sqrt(320)).\nAnswer: -20*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 476 divided by 119?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {n: 4, l: 3, t: 1}. What is prob of picking 1 t, 1 l, and 2 n?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 180 a factor of 90077798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -783, -1997, -3211, -4425, -5639, -6853?\n\"Answer: -1214*g + 431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 272 and 4305573.\nAnswer: 68889168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = 2*f + 3*f - 4*f. Let c(j) = 13*j. Give c(r(x)).\nAnswer: 13*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = 128*i + 890. Determine v(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 28925 and 185835.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 614618 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = -b**3 - 5*b**2 - 6*b - 4. Let s be c(-4). Suppose q - 132 = -s*t - q, 97 = 3*t + q. What is the remainder when 92 is divided by t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 3202511237?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l = 39 + -13. Is l a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4 + 10 + 7 + -1 + -12 + (-64 - -136).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w = c - 10, 4*c + 3*w - 2*w = 67. What is the greatest common factor of c and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*o - 15 - 18 = 3 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) be the first derivative of 9*w**2\/2 + 1. Suppose -19*y + 21*y = 30. Let j(x) = 8*x - 35*x + 10*x + y*x. Determine f(j(c)).\nAnswer: -18*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor -o**3 - 50*o**2 - 313*o - 516.\nAnswer: -(o + 3)*(o + 4)*(o + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = -y**3 + 3*y**2 - y + 7. Let l be j(3). What is the greatest common factor of l and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 12121220102 (base 3) to base 2.\nAnswer: 11011000010010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1791*z + 876*z - 1620*z - 153*z.\nAnswer: -2688*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -10 - -638303?\nAnswer: 638283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*((sqrt(980) - 1*sqrt(980)*-2) + sqrt(980) + sqrt(980) + sqrt(980))\/(sqrt(576) + -2*(sqrt(576)*-2 + sqrt(576))).\nAnswer: 7*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z = -5228\/474165 + 32855637463\/3063580065. Let o = 2\/2769 + z. Which is greater: 12 or o?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -243022024 (base 6) in base 16?\nAnswer: -4686a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 532 is divided by 68.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = -o + 1. Let k(u) be the second derivative of 4*u**3\/3 - 6*u**2 - 137*u. Let c(w) = -3*w + 25. Let l be c(8). What is l*k(v) + 12*b(v)?\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -0.2, -4, 12 in descending order.\nAnswer: 12, 0, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -68 and -1.7?\nAnswer: 115.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*x + 3*x = 6. What is the greatest common factor of x and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -65343\/14 + 4660. What is the common denominator of f and -46\/147?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -266718.971 - 1.02528\nAnswer: -266719.99628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 26816*s - 25779*s - 45928*s + 8813*s - 44951*s.\nAnswer: -81029*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Work out 1.1 * 2.5.\nAnswer: 2.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 38*g + 14720 = -604*g - 342*g - 488*g for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -o + 1 = -2*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence eeh when three letters picked without replacement from {e: 11, t: 3, h: 1}.\nAnswer: 11\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 76 divide 59888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 287534? (a) 1\/6 (b) -0.2 (c) 1 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 14\/68*4\/(-7)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -27.311 (b) -0.04 (c) 0 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} {"text":"Question: Let f(w) = -w - 13. Let h(s) = s**3 + 5*s**2 - 2*s + 14. Let y be h(-6). Calculate f(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 833 a factor of 1651205920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:47 PM and 6:15 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000011414 rounded to 7 dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d = -3*v + 46 + 109, 152 = 3*v + d. Let m = -51 + v. Which is smaller: -2\/31 or m?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*b**2 - 5*b**2 + 0*b**2)*(528 + 811*b**2 - 528)*(5*b + b - 5*b).\nAnswer: -1622*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (3*(sqrt(80) + sqrt(80) + ((sqrt(80) - (0 + sqrt(80) + sqrt(80))*-5) + sqrt(80) - sqrt(80)) + (4*(0 + sqrt(80)) - sqrt(80))))**2 + 4.\nAnswer: 184320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert 30b5a8 (base 12) to base 13.\nAnswer: 20aa82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is c in 36*c**3 + 34*c**2\/7 - 26*c + 36\/7 = 0?\nAnswer: -1, 2\/9, 9\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -2 times -0.296?\nAnswer: 0.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Determine f so that 3*f**3 - 402*f**2 + 4425*f - 4026 = 0.\nAnswer: 1, 11, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l = 213 + -213. Suppose 7*r - 70 - 14 = l. Solve -4*n = -3*v - 2*v - r, -5*n + 5*v = -15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -4 + 0 + 5 - 2*i**2 in the form s*i + f*i**2 + u and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*y - 4*q - 12, -3*y + 2*q - 3*q - 3 = 0. Suppose -h + o + 13 = y, 4*o = -3 - 17. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = 3*o**2 - o + 2. Let f(i) be the third derivative of i**3\/6 + 93*i**2. Let y be -2 + (0 + -1)\/(-1). Give y*w(n) + 2*f(n).\nAnswer: -3*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 + -1 + -2 + 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = -6977.5 + 6978. Let i = -0.1 + 0. What is the second biggest value in -2\/21, i, -0.3, y?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 151\/24 and 83\/8496.\nAnswer: 8496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r = -801 - -800.358. Let h = 30299.942 - 30271. Let v = h + r. What is v rounded to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -9 - (-49 + 2 + 1 + 16)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 45, 96, 35, -258, -903?\n\"Answer: -20*p**3 + 64*p**2 - p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n*n**(-6))\/(n**(-1\/3)\/n*n)*(n*n**(3\/2))**(-39))**(2\/7) assuming n is positive.\nAnswer: n**(-613\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-250182)\/(-3159) + -1 + (-2)\/3. Let n = -713\/9 + g. Calculate the common denominator of n and 37\/10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 6\/5 (b) 252 (c) 2 (d) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 45 and 180.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -24607533 divided by -8202511.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 15 and 335235.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 402 minutes before 5:21 PM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -4, 31, -1\/6, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 y and 1 v when two letters picked without replacement from {t: 2, u: 2, v: 4, y: 3}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*w + 10 = -10*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m = 61 - 36. Let x(h) = -h**3 + 24*h**2 + 27*h - 28. What is the remainder when 84 is divided by x(m)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 817 + -825. What is the closest to 1\/4 in -0.1, -0.4, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*s - 5*z - 15, 10 = -10*s + 12*s - 2*z for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 246 and 807?\nAnswer: 66174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = -9*d + 27. Let x(i) = -i. Determine -g(p) + 12*x(p).\nAnswer: -3*p - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -6507153*b*i*o**2 - 4*b*i*o - 4*b*i - 30*b - 11*i - 1 wrt o?\nAnswer: -13014306*b*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from knktkffunutnnnunnnnn. Give prob of sequence tfuu.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.609 + 0.099. Let n = 63 + -63.01. Let i = n - q. Which is smaller: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 83075 (base 9) in base 13?\nAnswer: 1bbc0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) be the third derivative of q**6\/120 + q**5\/12 - 7*q**4\/24 - q**3\/3 - q**2. Let w be x(-6). Let z = -185 - -212. Solve 0 = w*i + z - 7 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9 plus -32642316474208?\nAnswer: -32642316474199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in 9095, 9165, 9291, 9479, 9735, 10065, 10475?\nAnswer: 10971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 21\/8 of a centimeter in micrometers?\nAnswer: 26250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = w - 2, -29*i + 32*i = -4*w + 26. Solve -l = -3*s + i, s - 4*s = 5*l - 24 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 12436213 to the power of 1\/3, to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.16 - 0.36. Which is the nearest to i? (a) 1 (b) -2\/7 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 22869735?\nAnswer: 3, 5, 7, 173, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 2230 (base 11) to base 16\nAnswer: b79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(-1)\/(h*(h*h**(-1\/26))\/h*h))**(2\/25) assuming h is positive.\nAnswer: h**(-77\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Divide -59 by 1064.\nAnswer: -59\/1064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-6)\/(-171)*-3*(-887110)\/10005?\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 402 is divided by 153?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000154942011 to 7 dps.\nAnswer: -0.0001549","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k be 5735\/(-93) - 3\/9. Let g(h) = h**3 + h**2 + 64. Let y be g(0). Let o = k + y. Solve 2*t + o*t + 4 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = q**3 - 4*q**2 + q + 4. Let n be i(0). Solve -n = -2*a - 12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*o**5 + 2901*o**4 + 188358*o**3 + 4191360*o**2 + 5578752*o + 1572864 = 0. Calculate o.\nAnswer: -64, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in twenty-six fifths of a hour?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = 12\/11 + 8\/33. Let n = 127 - 126.791. Let x = n + -0.609. What is the smallest value in -5\/3, l, x?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 h and 1 s when two letters picked without replacement from ssmmpspspspmpmsushsm.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3355?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = 2*f - 1. Let b(j) be the first derivative of 3*j**2\/2 - j + 2. Let g(i) = -i. Let a be g(-5). Let v(w) = a*b(w) - 8*l(w). Calculate v(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0886 rounded to 3 dps?\nAnswer: -0.089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1226990?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 10, e: 4}. What is prob of picking 3 p and 1 e?\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*r + 179*s = 182*s - 18, 3*s = 15 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1445 + 3*b**3 - 27*b**3 + 1441 - 2886.\nAnswer: -24*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -835*h + 12121974 - 12121974 + 2*h**2.\nAnswer: 2*h**2 - 835*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m = -12 + 33. Let c = m + -3. Solve 0 = -4*u + 2*k + c, 5*k + 16 = -2*u + k for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 30\/135 + (-1670)\/(-18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5*370\/475 - 4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 16*g**3 + 940*g**2 + 692*g - 232 = 0 for g.\nAnswer: -58, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 49622557.\nAnswer: 2351, 21107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = p**3 - 11*p**2 - 3*p + 17. Give i(12).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.1002, -11, 3 in increasing order.\nAnswer: -11, 0.1002, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o = -5*n - 6*o + 23511, -18800 = -4*n - o. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 1, k: 3, u: 1, b: 2, c: 4}. What is prob of sequence tb?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1\/47 + -191\/141. Let a = 8.5 - 194.5. Let i = a - -182. What is the closest to i in -3\/5, 3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 59.74935km to micrometers.\nAnswer: 59749350000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = 14*n**2 + 8*n - 4. Is c(4) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) be the first derivative of -3824*a**6\/3 + 4289*a**3\/3 + 12230. What is the third derivative of v(r) wrt r?\nAnswer: -458880*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q = 5*n - 1 - 10, 5*n - 2 = q. Suppose 2*v = -2*v - 8. Let l = 4 - v. Calculate the highest common factor of l and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -32 - -53. Suppose 5*o + 21 = n, 3*n - u = -2*o + 25. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 573 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -43860 - 43866 + 122*n**2 + 131561 - 43835.\nAnswer: 122*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z be 70\/(-540)*-42 - (-4)\/(-9). What is the second derivative of -10934*k + 10931*k + 58*k**5 + 42*k**z - 2 wrt k?\nAnswer: 2000*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) -4\/3 (b) -3 (c) -1\/3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -18 * -0.13\nAnswer: 2.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*w - w + 16. Suppose -c + 5*o + 4 + 11 = 0, -4*o = c + 12. Let l = c - w. Solve 0*g - l*g + 20 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.3 + 0.19. Sort 1\/6, q, 4 in increasing order.\nAnswer: q, 1\/6, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 2*r**2 + 0)*(-5*r + 0*r + 3*r)*(3*r + r - 6*r)*(-r + 4 - 4).\nAnswer: 8*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = -28*s**2 - 7*s + 6. Let v be p(-7). Let j = 23693\/18 + v. Find the common denominator of j and (-10)\/((1216\/(-236))\/4) - 5.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -8*o**6 + 8*o**4 + 9*o**3 - 16*o**2.\nAnswer: -960*o**3 + 192*o + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x = 443 - 91. Is 22 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -7 - 2. Let m(s) = -s - 7. Let v be m(j). Let g(z) = -5 - v*z**2 + 4 - 4 + 5*z + 2. Give g(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = -m**2 - 8*m - 9. Let t be c(-7). What is the common denominator of 8\/t + 973\/420 and (-391)\/(-238) - (-6)\/2?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = -40*c**3 + c**2 + 4*c + 2. Determine n(-1).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 546 and 160?\nAnswer: 43680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = u**3 + 2*u**2 - 11*u - 9. Let c be d(-4). What is the tens digit of -15*(((-11)\/c)\/1)\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 29\/50 and 52\/375.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = -5*c**2. Let x(b) = 4 + 88*b - 85*b - 3 - 2. Determine n(x(i)).\nAnswer: -45*i**2 + 30*i - 5","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 91*c*p + 1759972*c + 64520*p**2 + 4 wrt p.\nAnswer: 91*c + 129040*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is -162595708 greater than -162595711?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -0.5, 3\/2, -4, 21 in descending order.\nAnswer: 21, 3\/2, -0.5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v + 7*v - 5*m = 5, 4*v - m + 11 = 0. Let o(t) = -2*t**2 - 7*t - 6. Let z(j) = 2*j**2 + 7*j + 6. Let u(h) = 5*o(h) + 4*z(h). Determine u(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 354 and -1.\nAnswer: -354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -4, 1\/6, 117, -3118, 7\/6, -2?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i = 20 - 9. Solve 0*g = -3*s - g - i, g - 5 = s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 121693724809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-2388)\/48 - (-87)\/116) + (-22 - -42).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 369901 and 4234989.\nAnswer: 207514461","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h = -21559 + 50668. What is the thousands digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = p. Let u(v) = -v**2 + 18*v + 19. Suppose 10 = w + 3*o, 3 = -3*w + 2*o - 0*o. Let a(g) = w*u(g) - 3*z(g). Is a(15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} {"text":"Question: Let s(d) = 11*d**3 - 4*d**2 + 4*d + 4. Let x(m) = 37*m**3 + 65*m**3 + 90 - 103*m**2 + 77*m - 13 + 107*m**3 + 26*m**2. Give 77*s(w) - 4*x(w).\nAnswer: 11*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = -o + 4. Let n be m(5). Let d be n\/((2 + -1)\/(-6)). Let i(f) = -f**3 + 7*f**2 - 4*f + 7. Is i(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) be the third derivative of 3*a**6\/40 + 7*a**5\/60 + a**4\/4 + a**3 + 22*a**2. Let k(u) = 8*u**3 + 6*u**2 + 5*u + 5. What is -6*k(i) + 5*v(i)?\nAnswer: -3*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t be 2\/(-2)*1 - -7. Let f(n) = -n**2 + 63*n + 5. Let o be f(0). Suppose 0 = o*r + t*i - 2*i - 292, -3*r + 159 = -3*i. Does 28 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from qddsdspdee. Give prob of sequence dds.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1515 - 789. Does 39 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 365 + -337. Is 109\/4 >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 4740 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express -9 - n**2 + 748*n - 748*n as s + x*n + w*n**2 and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 + (-2 - (-5 - -4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many days are there in 6311.7468 minutes?\nAnswer: 4.3831575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -359, -471, -559, -617, -639, -619, -551?\n\"Answer: n**3 + 6*n**2 - 137*n - 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*c = 5*w + 32, 0 = -1742*w + 1739*w + 2*c - 20 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 5796844703?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p = 17 + -13. Suppose -3*m - 2881 = 4*l - 5*l, p*l + 3*m = 11584. Let i = 1313 - l. Round i to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = a**2 + 4*a - 3. Suppose 0*f - 6 = f. Let n = f - -10. Calculate the least common multiple of n and v(-6).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 1\/1 + 0 - 42\/(-3). What is the highest common factor of a and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2371*i**2 + 953*i**2 + 944*i**2 + 486*i**2.\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -54 - 5542*j + 78 - 17 + 2*j**2 - 4*j**2.\nAnswer: -2*j**2 - 5542*j + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 112, 7, -5, -4, 2 in decreasing order.\nAnswer: 112, 7, 2, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express 45*f + 112 + 11*f + 10*f + 16*f - 80*f as i + s*f and give i.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = -j**3 - 6*j**2 - 5*j + 2. Let k be i(-5). Let a(r) = 6*r + 1. What is the units digit of a(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f + 12 + 18 = 5*k, -12 = -2*k + 3*f. Calculate the smallest common multiple of 12 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4330?\nAnswer: 2, 5, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y = 4154 - 4143. Let g be 2 + 2\/2 - -4. Solve -16 = y*d - g*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 4 - -400203?\nAnswer: 400212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put -5\/912, 4, 1, 2\/11 in increasing order.\nAnswer: -5\/912, 2\/11, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = -19*h + 57*h - 21*h - 18*h. Let n be y(-5). Let t be (5\/(-2))\/((-2)\/4). Solve -n*g = -2*l + 5, 2*l + l = t*g + 10 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -52 * 55.061\nAnswer: -2863.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express -2*v**4 - 23851*v + 149 - 144 - 4*v**4 - 38*v**3 - v**4 + 23852*v as j*v + g*v**2 + u + k*v**3 + f*v**4 and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 17\/(-3)*((-3)\/5)\/((-26)\/130)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k = 2*m - 1112, 5*m = -38*k + 36*k - 735. Is -371 greater than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4 + 6 + 3 + -7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:27 AM and 4:23 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose o = -17*k + 12*k + 16, 4*k - 8 = 0. List the prime factors of ((15330\/(-25))\/(-7))\/(o\/45).\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) be the second derivative of 13*n**4\/12 + 8*n. Let o(s) = -10*s - 7. Let k(d) = 7*d + 5. Let h(r) = 7*k(r) + 5*o(r). What is h(g(c))?\nAnswer: -13*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round -1576072.5 to the nearest 10000.\nAnswer: -1580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = 5*d**2 - 2*d + 5. Let x(m) be the second derivative of -m**4\/6 + m**3\/6 - m**2 - 3*m. Let i(f) = -3*n(f) - 8*x(f). Is i(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 50747292 to the power of 1\/2, to the nearest integer?\nAnswer: 7124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(2) + sqrt(32))**2*5 + ((sqrt(50)\/sqrt(5))\/sqrt(5))**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2*3\/39 - 1164672\/(-832)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -222202 - 2221220?\nAnswer: -10221122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*n**3 - 176256*n**2 - 1942869300*n - 27165635000.\nAnswer: -4*(n + 14)*(n + 22025)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does 18 divide 1469908782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y = -5.459 + 0.059. Let i = 5 + y. Which is the closest to 1? (a) 2\/13 (b) 3\/2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*r**3 - 2740*r**2 + 473308*r - 1395372.\nAnswer: 4*(r - 341)**2*(r - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 0 + -3 + (6 - (4 - 0))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = -2*g**3 + 24*g**2 + 17*g - 6. Let r be x(13). Let y = -114 - r. Suppose 12 = 3*s, 5*t - t - s = 32. What is the greatest common factor of y and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = -b - 1. Let d be f(0). Let q = d - -4. What is the units digit of q*(-2 - 16\/(-3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 1, s: 4, z: 2, n: 6, b: 1, h: 1}. Give prob of picking 1 k and 1 h.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.08 * -276612.\nAnswer: 22128.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-36)\/(-2))\/(6\/28). Let o(d) = d**3 + d + 1. Let b be o(2). Suppose 47 - b = 3*w. What is the greatest common divisor of w and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = -16*g**2 + 1606238. Let c(q) = 2*q**2. Determine s(c(n)).\nAnswer: -64*n**4 + 1606238","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((l**(1\/3))**(-2\/5))**(-46))**41)**22 assuming l is positive.\nAnswer: l**(82984\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Product of -5.89 and 0.039.\nAnswer: -0.22971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -3210 (base 4) to base 2\nAnswer: -11100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = b - 16. Let a be g(21). Put a, 12, -1 in ascending order.\nAnswer: -1, a, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 182419.2 weeks?\nAnswer: 1838785536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 0 - 141?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i = 4.083 - -0.157. Let n = i + 0.01. What is n rounded to 1 dp?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 52 + -52. Suppose 2*d - 35 - 105 = m. What are the prime factors of d?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = k**3 + 4*k**2 + 20*k + 14. Let v be o(10). What is the tens digit of -1*(-3)\/(-6) + v\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 580586364 to the nearest integer?\nAnswer: 834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 108829154 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 463 (base 11) to base 6\nAnswer: 2321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 29, 63, 97, 131?\n\"Answer: 34*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in 15815, 15810, 15797, 15770, 15723, 15650?\nAnswer: 15545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 9158123*p**2 - p - 177728894.\nAnswer: 18316246*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -1 divided by 12981398?\nAnswer: -1\/12981398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -14c1f - -47?\nAnswer: -14bd8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round -0.62642519 to three decimal places.\nAnswer: -0.626","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of ((-94)\/5 - -7)*-3235?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = k**2 - 3*k - 8. Let h be c(5). Let n be 2\/(2\/5*(-1)\/h). List the prime factors of 8\/6*(-495)\/n.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -18 + 24. Suppose -2*a - 2*a = -8. Calculate the smallest common multiple of k and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = -3*p**3 + 20*p**2 - 7*p - 32. Is 38 a factor of r(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify l**(-2\/15)\/l**(-16\/5) assuming l is positive.\nAnswer: l**(46\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n - 4*v = 15, n + 3*v + 4 + 4 = 0. Let m(i) = -4*i. Let l(w) = w + 1. Give n*m(q) + 2*l(q).\nAnswer: -2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*q**2 + 3 - 5*q**2 + q + q + q**2.\nAnswer: -(q - 3)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = 2*y - 3. Let m be v(3). Let j(f) = -12*f**3 + 5*f**3 + 5*f + 72*f**3 - 4*f - m*f**2. Let t be j(2). Round t to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 3020021222 (base 4) to base 7.\nAnswer: 6653066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r\/(r*r\/(r*r*r**(6\/17)*r)))\/(r*r**(-6)\/r*r))**(-41) assuming r is positive.\nAnswer: r**(-5125\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.074 - 0.026. What is the nearest to i in -2\/17, 1, -4\/7?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1115 + 5578\/5. Which is greater: x or -13\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-57)\/(-7) - (28\/(-49))\/(-4). Let 7*t**3 + 4*t**3 - 5*t**3 - 12*t + o - 2*t**3 = 0. What is t?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 624867?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-28)\/(-6) + (-2)\/(-6). Suppose 2*t - n - 1 = 0, -2*t - 4*n - 22 = 2. Sort l, t, -5 in decreasing order.\nAnswer: l, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1629*z = 1623*z + 184917 + 67209. Is 207 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -2*h**2 - 481*h + 785*h + 0*h**2 + 2775*h + 1429*h in the form g + i*h + l*h**2 and give i.\nAnswer: 4508","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6654925566?\nAnswer: 2, 3, 71, 1637, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1807\/19 - -95. Which is the nearest to 0? (a) g (b) 5 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 21144\/(-2520) + 150\/18.\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 60 + -40. What is the greatest common divisor of f and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -314013.09 to the nearest 1000.\nAnswer: -314000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(57) - sqrt(57)*-2*5 - (-1*(sqrt(57) - sqrt(513)) - sqrt(57)))*-5)\/(-2*sqrt(363)*-4*-2).\nAnswer: 25*sqrt(19)\/88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is five quarters of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = 75 - 37. Let x be (1 + 11)*57\/o. Let d = x + -15. Solve 2*p = -p + 9, d*p - 1 = -4*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 5682090 and 972610?\nAnswer: 107959710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00004298816511 to six decimal places.\nAnswer: -0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (9*x**3 - 4*x**4 - 9*x**3)*(x + 4*x - x)*(5 - 3 + 0).\nAnswer: -32*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-8)\/(-10))\/((-8)\/20). Let g(o) be the third derivative of o**6\/120 + o**5\/15 + o**4\/12 - o**2. Calculate g(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x + 37 = 4*h, 2 + 6 = -4*h - 4*x. Let w = -49 - -85. What is the highest common factor of h and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -896*x - 4728 = -1093*x for x.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 413 times -359116?\nAnswer: -148314908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 53\/4 of a kilogram?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 11323082618 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Add together 34522.97 and 0.\nAnswer: 34522.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 192 a factor of 48576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c = 5544 + -5545.1. Put 1, c, 0.05, 0.04 in ascending order.\nAnswer: c, 0.04, 0.05, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 280 is divided by 94?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*r + 5 + 1 - 6 + 245*r + 1 to v + g*r and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(3*-4*(sqrt(700) - (-2 + sqrt(700) + 1) - sqrt(700) - sqrt(700)) + -3*(-1*1*sqrt(700) + (1 + sqrt(700))*-3 + sqrt(700) + sqrt(700) + sqrt(700)))**2.\nAnswer: -2551545 + 8100*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-8)\/(-6)*(-720)\/(-96). Solve l = 57*c - 47*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = q**3 + 7*q**2 - 6*q + 3. Let k be v(-6). Let p be 88\/15 + 10\/k. Solve -3*b = c - 4*c + p, -5*b + 35 = 4*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 81 and 90?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 4021747942 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m be 32\/6 - 4\/12. Let g be (1 - 3)*(-56)\/98. Let 18\/7*k - 20\/7*k**2 - 4\/7 + 24\/7*k**4 - 10\/7*k**m - g*k**3 = 0. What is k?\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 5, -6, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1209287749.\nAnswer: 947, 1276967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 83155 is divided by 20094?\nAnswer: 2779","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 1472 = 75*h - 259*h for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o = -203 - -252. What is the second derivative of -44*d**3 + 113 - 77*d**3 + 113 - 226 - o*d wrt d?\nAnswer: -726*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 1747912 by 73.\nAnswer: 23944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 448 minutes before 12:01 AM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k and 1 f when two letters picked without replacement from wfwwkfwwwkwwwwwkw?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 56\/143 and 31\/52.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express (-19*h**2 - 141*h + 141*h)*(240 + 238 + 247 - 725 - 3729*h) in the form s*h**3 + o + w*h**2 + k*h and give s.\nAnswer: 70851","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) be the third derivative of u**6\/120 - u**5\/10 + 7*u**4\/24 - 5*u**3\/6 - 4*u**2. Let l be d(5). Let g be 10\/(-8) - (-4)\/16. Sort l, 3, g.\nAnswer: g, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = 8*l - 8. Let f be h(8). Let w = 12 + -5. What is the greatest common factor of w and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from nnederkebkknrddd. Give prob of sequence ner.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j = 6 + -5.94. Let n = 0.16 - j. Let r = n + -0.057. Round r to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 5730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose q - 3 = 3*q - 3*t, 0 = 3*q - t - 13. Let w(k) = 1 - 2*k**2 + q - 20. Let o(l) = -2*l**2. Determine w(o(f)).\nAnswer: -8*f**4 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-3)\/(-36)*-1)\/((-44)\/88)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = 4\/75 - -26\/75. What is the smallest value in 38, 4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1843*l - 987 = -1796*l for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t = 2*z - z + 83, 4*z = -8. Let o = 11 + -8. Suppose -5*h = 3*m - 159, 106 = -m + o*m - 5*h. Calculate the remainder when m is divided by t.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {q: 1, u: 4, p: 2, k: 1, o: 4, z: 2}. What is prob of sequence zoqp?\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: (1 - -1) + (-3 - (-23 - -18))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*h**3 + 3*h + h**3 + 2*h**3.\nAnswer: 9*h**3 + 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let 675*f + 5\/2*f**2 + 0 = 0. Calculate f.\nAnswer: -270, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.241 - 4.\nAnswer: -4.241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 28687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -12446, -49744, -111894, -198896, -310750, -447456?\nAnswer: -609014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 184*b + 4538 + 554 = 21*b + 528 for b.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*c - 3 - 37. Suppose -3*b = -5*w + 12, w - c = 2*b - 0*b. Find the common denominator of 119\/18 and (-87)\/36 + 4 + 1\/b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 24720 and 2933955.\nAnswer: 1545","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find q, given that 9*q**3\/4 - 33*q**2\/2 + 69*q\/4 + 36 = 0.\nAnswer: -1, 3, 16\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence lcc when three letters picked without replacement from {l: 2, j: 5, c: 4}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 7? (a) -4 (b) -1\/92 (c) -2 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round -29834.81 to the nearest one thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.2? (a) 0.1 (b) 45 (c) 4 (d) 8890 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -2397*f**4 - 15024*f - 30885154 wrt f?\nAnswer: -9588*f**3 - 15024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 10*i + 2*i + 5232. Let k = 440 + i. Sort k, -5, 6, 5 in decreasing order.\nAnswer: 6, 5, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*d + 5*d - 8. Suppose 5*l + 1300 = s, -d*l - s - 1040 = -0*s. Find the common denominator of -29\/20 and (-222)\/l + (1 - 15\/13).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 2.31 - 1195709.35\nAnswer: -1195707.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -107, 0.5, 1\/24, -2\/291?\nAnswer: -107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 504, 1008, 1512?\nAnswer: 2016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = -8*l**2 - 3*l + 6. Suppose -2*k + 37*b - 35*b + 6 = 0, b = -3*k + 21. Let z(g) = -3 - g**2 + 2*g**2 + 2. Calculate k*z(u) + j(u).\nAnswer: -2*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 283102 + 0.1.\nAnswer: 283102.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f = -2 - 1. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = 10*v**3 + 169*v**2 + 610*v + 135. Give z(-11).\nAnswer: 564","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -3, 672213 in increasing order.\nAnswer: -3, 0, 672213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 151909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q - 14 = -4*u + u, 2*u = -3*q + 18. Let o be -6*u\/(-27)*(-12)\/(-20). Solve o*f + 26\/5*f**2 + 14\/5*f**5 + 54\/5*f**3 + 0 + 46\/5*f**4 = 0 for f.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 3439953 and 792.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 254, 1284, 4138, 9728, 18966, 32764, 52034, 77688?\n\"Answer: 152*t**3 - 34*t + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = 3096 + -1963. List the prime factors of a.\nAnswer: 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: (68 + -59 - (13 - (10 + -5))) + -3 - -45\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p be -1*1 + (-1 - -5). Let v(d) = 6*d - 1. Let j be v(p). Calculate the greatest common divisor of j and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qq when two letters picked without replacement from lqlllcqqblqqqbbbbll?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 69297731 and 69297731.\nAnswer: 69297731","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s = -938\/11 - -3763\/44. Factor 1\/2*q + s*q**2 + 1\/4.\nAnswer: (q + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 45*j**4 - 1127*j**3 + 6800*j**2 - 300*j = 0. Calculate j.\nAnswer: 0, 2\/45, 10, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1\/637*14)\/((2\/210)\/((-121)\/(-363))).\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 70\/(-10) + -4 + -10*294\/(-70).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.3 - 0.1. Put -1\/4, r, 1 in increasing order.\nAnswer: -1\/4, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -31132947 and -7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*((sqrt(117) + 1)*3 + (sqrt(117) + 1 + 5)**2 - (-3 + (3*sqrt(117) + sqrt(117) + sqrt(117) + 0)**2)).\nAnswer: -180*sqrt(13) + 11064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -16 in 3, -3\/4, -0.5, 4\/3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -82571 divided by 797\nAnswer: -82571\/797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) be the second derivative of -i**4\/6 + 13*i**3\/6 - 3*i**2 - 1196*i. Determine n(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (5\/350*2)\/((-24)\/(-168)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 61589, 61582, 61571, 61556, 61537, 61514?\n\"Answer: -2*o**2 - o + 61592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 381, 3015, 10163, 24081, 47025, 81251?\nAnswer: 129015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -3*t**3 + 5*t + 5. Suppose i - c - 10 = 2*c, -5*c + 30 = 5*i. Suppose -2*m - i + 35 = 0. Let z(y) = 8*y**3 - 14*y - 14. What is m*p(h) + 5*z(h)?\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r - 13 = 17. Suppose 37 = r*i - 41. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = x + 2. Let b be w(-5). Let q be 2\/(-4) + 5 + b. What is v in v + 0 - 7\/2*v**3 - 3\/2*v**4 + 5\/2*v**5 + q*v**2 = 0?\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 40\/7 + 16\/56. Suppose 6 = 3*j - l. What is the third derivative of 0*a**4 + 4*a**4 - j*a**2 + a - a wrt a?\nAnswer: 96*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 134941014 to the power of 1\/2, to the nearest integer?\nAnswer: 11616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -76*m**3 - 87*m**3 - 83*m**3 + 335*m**3 - 86*m**3.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:42 PM and 12:33 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:46 PM and 1:00 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -1 + 15 - 3 - (3 - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 730*m = 18807 + 18927 - 15834 for m.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3177 is divided by 42.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 4, 4\/5, 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 1 - 6)*(a + 4*a - 2*a) - 4*a + 3*a - a + 2*a + 1 - 1 + (-3*a + 2*a + 0*a)*(-2 + 2 + 1) - 2 + 2 + 2*a.\nAnswer: -17*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(70)*-1 - (sqrt(70) + 3*sqrt(70)*1 - sqrt(70)))\/(sqrt(160)*2*5)*3.\nAnswer: -3*sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = w**2 + 5*w - 60. What is s(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in -5, 54.5, 3, -0.093, 0.3, 1?\nAnswer: -0.093","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -261? (a) 0.5 (b) -2\/7 (c) -9 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 42559833 to the power of 1\/5, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -12 = -w + 5*m, 4*w - 516*m - 42 = -499*m for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) be the first derivative of 11*v + 1\/6*v**4 - 14 + 0*v**3 + 9\/2*v**2. Let j(m) be the first derivative of h(m). Differentiate j(f) with respect to f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -45323 (base 6) to base 11\nAnswer: -4887","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = s - 10. Let w be t(8). Let x = -5.87 + 0.75. Let u = x + 0.12. What is the second smallest value in 3, u, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -23581764 by 5.\nAnswer: -23581764\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-3*(sqrt(288) + sqrt(288) + (-2 + sqrt(288) + 1 - sqrt(288))) + (sqrt(288) + sqrt(288) + 2)*-3*-1)*-2)**2.\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1185 is divided by 119.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Product of 27488 and 15.\nAnswer: 412320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 310 (base 9) to base 3.\nAnswer: 100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = -3*o - 49. Let u be y(-21). Let n be (-9)\/21 + (-442)\/u. Let g = n - -94. Does 13 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 86253256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 252*g = 134*g + 138*g - 660580. Is 17 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1790479 is divided by 99465?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 102 in 49, -0.2, 5?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = -3*m. Let c(j) = 4*j. Let y(f) = -4*c(f) - 5*s(f). Let u(p) be the second derivative of p**4\/6 + 2*p. What is u(y(w))?\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r = 2.06 - 0.06. Let p = -0.7 - -0.5. Let w = -86 - -343\/4. Which is the closest to w? (a) r (b) p (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -688*p + 1098*p + 1382*p + 15021 = -4691 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y = -2*y - 4, 4*u = y + 25. Suppose -17 = -6*f + 5*f. Suppose f = 5*a - 3*h - u, a + 4*h - 23 = 0. Solve a = -3*n - 5 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = -2*d + 9. Let m be n(6). Let i be -2 - -1 - (-7 + m). Is 9 > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 4370\/(-50) + (14\/10 - 1). Let y = 83 + c. Let s(j) = 2*j + 3 - 8 - 2*j**2 + 2. Let u(o) = -3*o**2 + 2*o - 4. Determine y*s(i) + 3*u(i).\nAnswer: -i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) be the second derivative of -1\/60*l**5 + 0 + 1\/18*l**3 - l + 0*l**2 - 1\/36*l**4 + 1\/90*l**6. Factor j(b).\nAnswer: b*(b - 1)**2*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -6 less than 896592?\nAnswer: 896598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort -171, -5, 8230 in increasing order.\nAnswer: -171, -5, 8230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 10*p**2 + 365*p + 20031.\nAnswer: 20*p + 365","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.3? (a) -16 (b) 255 (c) 0.2 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g = 179 - 147. Is g a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 500173 to the nearest integer?\nAnswer: 707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7956068 is divided by 532?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (-17*s + 25*s - s)*(5 - 1 - 6) + 4*s - 8*s - 15*s - s - 2*s.\nAnswer: -36*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve t = d + 1, -6*t - 1346 = 2*d - 1384 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 262 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = -2*m**3 - 6*m**2 + 7*m. Let f be n(-4). Suppose 2 = -0*r + r. What is the second derivative of 21*a**r - 80 + 80 + f*a wrt a?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -o**3\/6 + 3*o**2\/2 + 5*o\/3 = 0.\nAnswer: -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from oodooododooooo.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put -1\/8769, -4, 32.49 in decreasing order.\nAnswer: 32.49, -1\/8769, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in 23, -0.1, 0.4, 58, 2\/3, 3?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -2077 rounded to the nearest one hundred?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 36 = -v - 9. Let d = v + 40. What is the units digit of (-1)\/(d\/320) - -5?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5948 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 1, -13, -4 in decreasing order.\nAnswer: 1, -2, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 959 is divided by 305.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m + 11 = -19. Let n(q) = -2*q**2 - 15*q - 14. Let u be n(m). Let c be u\/8*16 - 3. Solve -j = -c*j + 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4733000 rounded to the nearest 100000?\nAnswer: -4700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -298 - 5?\nAnswer: -2a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o = -3 + -5. Let v be (1 + o\/(-1))*1\/3. Solve -v*h + 18 - 3 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = 3*g - 32. Let o = 38 + 16. What is 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 i = 115 + -18. Is 24 a factor of 2\/(-8) + i\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 26818*a + 198 + 42634*a - 198.\nAnswer: 69452*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i = 25 + 7. Suppose 32 = 4*r - i. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 1.001714896 to four dps.\nAnswer: 1.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/11? (a) 1 (b) 0.4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = w**2 - 2*w + 3. Let r be c(2). Suppose 3*f = -r*t + 63, -4*t + 2*f + 79 = 5*f. Let d = -6 + t. Does 6 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = 18*s**2. Let j(n) = n - 11. Let l(d) = -1. Suppose 2 = -5*t - 8. Let c(g) = t*j(g) + 22*l(g). Calculate c(m(k)).\nAnswer: -36*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 142.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -32 = -k + 5*k. Let v(g) be the first derivative of -g**3\/3 - 4*g**2 + 3*g + 21. What is the units digit of v(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5 - (3 - (8 - 3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = -8*r + 7. Determine n(-6).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.051 + -0.151. Which is the closest to 1? (a) 4 (b) 2\/5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 57 divide 1805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is ((-2)\/4)\/((-1)\/(-6)*336\/(-560))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 26 divide 38480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z*z\/(z*z*z**3*z))\/z**5)**(15\/7)\/((z*z**(-1\/3)\/z*z)**(-1\/5)*z*z**(-2\/7)*z**(-1\/5)) assuming z is positive.\nAnswer: z**(-59\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 3, e: 1, n: 1, l: 1, h: 1}. What is prob of sequence he?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:09 AM and 12:36 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000203663871 to six dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z be -193541*((-1)\/5)\/(11\/55). Suppose 68149 = -16*q + z. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) be the third derivative of r**5\/30 + 8*r**2. Let a(m) = 2*m**2. Let y(o) = -2*a(o) + s(o). Let i(g) = -10*g + 3*g**2 + 10*g. Calculate y(i(n)).\nAnswer: -18*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1308, 5278, 11908, 21198, 33148?\nAnswer: 47758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 5566 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s = 457 - 460. Let n(m) = -4*m - 37. Let h be n(-9). Sort 54, s, h in increasing order.\nAnswer: s, h, 54","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} {"text":"Question: What is fourty-four fifths of a micrometer in nanometers?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*i - 4*u + 25 = 0, i + 44*u - 108 = 65 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express 497*b**3 - 95*b**3 + 97*b**3 + (0*b + 0*b - 4*b**2)*((b - 2*b + 2*b)*(-1 - 3 + 2) - 2 + 2 - b) as a*b**3 + c*b + f + l*b**2 and give a.\nAnswer: 511","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i = 28 - 0. Let f = -25 + i. Suppose 8*k - f*k - 150 = 0. What is the greatest common factor of k and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0 less than or equal to -5244\/47111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 171716?\nAnswer: 2, 42929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 107562 is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z = -33 + 29. Let w(q) = -3*q - 10. Let j(i) = -1. Suppose -2*g + 9 - 1 = -n, 5*g = -5*n - 10. Let f(y) = n*j(y) + w(y). Give f(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-12)\/9 + 2925\/27?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -8? (a) 0 (b) 4 (c) 1\/2 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort -159963, -9, -5 in increasing order.\nAnswer: -159963, -9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -144 - 64 = -4*s. Suppose 0*m + m = s. Suppose 0 = -4*x - 4, -8 = -t + 4*x - 9*x. Calculate the greatest common factor of m and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 602 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -8729 times 7?\nAnswer: -61103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 1969 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 6*l**6 - l**5 + l**2 - 8*l wrt l.\nAnswer: 720*l**3 - 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -1.8 and -0.8?\nAnswer: 1.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 29\/2 of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Work out 1 + -3.31.\nAnswer: -2.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 14343104 (base 6) to base 11\nAnswer: 309521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*4*((sqrt(18) + (-1*sqrt(108) + sqrt(108) - sqrt(108))\/sqrt(6))\/((2*sqrt(90))\/sqrt(10)) + 5).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i = 82 + -26. Calculate the remainder when (-16)\/4 + i\/2 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 10534 and 276.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-30 - (-54 + 18)) + 6 + -1 + -52.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.0080752 and -38.\nAnswer: 0.3068576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert -156077 (base 8) to base 15.\nAnswer: -11a8d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Multiply -31405 and -19074.\nAnswer: 599018970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g + 4*k = -g, 0 = 3*g - 2*k - 25. Let v be 2*((-9)\/6 - -1)*-7. Let y(d) = -2 + 1 - 5*d + g + v*d. Calculate y(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = 23068*o - 9615. Is j(14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = -80*r - 3. Let w(s) = 2321*s + 88. Calculate -88*j(u) - 3*w(u).\nAnswer: 77*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.49 - -0.17. Let q = l - -0.32. Let y = q - -5. Which is greater: 1\/2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*g**2 - g**5 - 2*g**2 + (-1 + 10 + 13)*(2 - 2*g**2 - 2)*(-g**2 + 4 - 4)*(11*g + 25*g - 14*g).\nAnswer: 967*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 47 a factor of 611?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from foztfwot. What is prob of picking 1 w and 1 o?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 13101?\nAnswer: 3, 11, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 33077753 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) be the third derivative of -1\/120*u**6 + 0*u**5 + 0 + 0*u**3 - 1\/12*u**4 + 0*u - u**2. Find the second derivative of l(a) wrt a.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 61123577?\nAnswer: 61123577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is (-15 - -17) + -1*(497\/49 + -10)?\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 664 (b) -2\/11 (c) 0 (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 113*p + 14863 = 14750 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 158981859?\nAnswer: 3, 37, 53047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1709 + -1205. Is k a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 190\/4 - 3\/(-6). Suppose 0 = n + 3*n + f. Let i = 33 + n. Is i a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 301 + -301. What is the nearest to -1 in g, -2\/5, -1\/25?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p + 63 = 5*m, 3*m - 33 = 8*p - 11*p. Calculate the greatest common factor of 21 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 29696 and 395908.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 16*g + 3814 = 3*p + 3772, 5*g + 25 = -5*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 916 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: ((-10)\/(-14))\/(80\/(320\/8))\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 2b6 + 20?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) be the first derivative of o**4\/12 + o**3\/3 + 5*o**2\/2 - 4*o - 2. Let p(j) be the first derivative of w(j). Let n be p(-2). Solve 5*t - n = -0*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 1 - 29*w**2 + 3*w + 29*w**2 - 4 + 2*w**3 as v*w + r + u*w**2 + h*w**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 4 - -563465232?\nAnswer: 563465236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 50522004 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -442050 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = -199*i - 2. Let h(w) = 598*w + 7. Let s(p) = -2*h(p) - 7*m(p). Let j(f) = -2*f**2. Determine s(j(u)).\nAnswer: -394*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 18235262?\nAnswer: 2, 113, 80687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2178.5 - 15537.5. Let f = -17774.0106 - p. Let m = f - -58. Round m to three dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 35292054 to the power of 1\/2, to the nearest integer?\nAnswer: 5941","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*z + 15 = -4*a, -107*a = -110*a + 2*z + 6 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 34 and -150895?\nAnswer: -5130430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 4898113487?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z = 2.71958 + -1.61958. Let f = -335\/7 + 48. Sort f, 5\/4, 4, z in decreasing order.\nAnswer: 4, 5\/4, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = a**3 + 3*a**2 + 4. Let g(i) = -i**2 - i - 1. Give -3*g(d) - o(d).\nAnswer: -d**3 + 3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 1411420523 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5553205495?\nAnswer: 5, 37, 2803, 10709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is next in -188, -186, -184, -182, -180, -178?\nAnswer: -176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -23*k**3 - 13 - 127*k**4 + 606*k**2 + 609*k**2 - 1213*k**2 - 2*k - 60 wrt k.\nAnswer: -3048*k - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b - 5*u + 12468 = 71083, 0 = 2*b - u - 23446. Does 19 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -36*d**2 + 7*d**2 - 9*d**2 - 51*d**2 - 18*d**2.\nAnswer: -107*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or 15\/118549666?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = -2*w**3 - 33*w**2 + 19*w + 16. Let l be h(-17). Let d = l + 1108. List the prime factors of d.\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n + 49 = -4*n. Let s(v) = -v**2 - 8*v + 9. What is the units digit of s(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = 17*x**3 + x**2 + x - 2. Let a be r(1). Let g be (-31 + 2)*(-2 - -1). Let d = g - a. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2*2\/((-66)\/3).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 700 minutes after 8:31 PM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve s = -0*s - 5, -5*b = 2*s + 20 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24 = -4*n + 8. Let f be 1*n\/10 - (-469)\/35. Is 15 bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 103\/440 and -75\/4?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z = 393644 - 246697. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 0.5, -4, -3, -2\/1363, 1709?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0.1 (b) -2 (c) -0.2 (d) 15\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -17 in -1\/2, 0.3, -1\/6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h = -11.5 - -11. Let v = 55 - 58. Which is the nearest to v? (a) h (b) 0.4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 2326748 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 14 + 2405?\nAnswer: 2422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 856817338?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 5567 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = -s**2. Let q(b) be the first derivative of 11*b**3 + 2069. What is i(q(j))?\nAnswer: -1089*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 7, y: 6, b: 6}. Give prob of picking 1 b and 1 y.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19*u = 6563074 + 6951417. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 26784, 53567, 80348, 107127, 133904?\nAnswer: 160679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = -w - 1. Let j(x) be the second derivative of -x**3 - 3*x**2\/2 - 3*x + 6. Let r(f) = -9*a(f) + 2*j(f). Determine r(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 122\/5*b - 104 + 2\/5*b**2.\nAnswer: 2*(b - 4)*(b + 65)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q*q**(-3\/10))**(-33)*(q*(q*(q**22*q)\/q)\/q)\/(q**(-24)*q))**(2\/13) assuming q is positive.\nAnswer: q**(229\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:37 PM and 10:30 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -510 = 15*z - 17*z. Let r = z + -255. Solve -4*k - 2*f = 14, -f + 3 = -r*f for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s - 64 = -3*x, 5*x - 24 = 2*x + 3*s. Let j be 4 + -3 + 1 - -20. Which is smaller: x or j?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = p - 9. Suppose 32 - 92 = -p*x. Suppose 4*d = 4*l + d - 291, 0 = -l + 3*d + 75. Calculate the remainder when l is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 41938602*v**4 + 17*v**2 - 60987*v - 6.\nAnswer: 1006526448*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 7 + (1 - (-1 + 5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 3 and -13505.\nAnswer: -13502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 85143.97 millilitres to litres.\nAnswer: 85.14397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: (1\/(-4))\/((414\/72)\/23)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -18\/41 (b) -0.2 (c) -3\/70\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10*j**3 - 228 - 224 + 455.\nAnswer: -10*j**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = 4*v**3 + 31*v**2 + 2*v - 5. Let k(c) = 6*c**3 + 47*c**2 + 3*c - 8. What is 8*j(f) - 5*k(f)?\nAnswer: 2*f**3 + 13*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -0.78681669 rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 17 - -6316?\nAnswer: 632d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q = -7 - -8. Suppose 0 = 5*a - 9 - q. Let p = 2 - a. Do p and 5\/4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*g**5 - 966*g**4 + 14013*g**3 - 61134*g**2 + 107052*g - 66312.\nAnswer: 3*(g - 307)*(g - 9)*(g - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 174.7851 tonnes in milligrams?\nAnswer: 174785100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -6026640 to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = k**2 + 9*k - 10. Let w be v(-10). Suppose w = -4*f - 103 + 1039. Does 40 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 803155183 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Differentiate h**3*z + h**3 - 11*h**2 + 3348*h*z - 870*h - 10*z + 2 wrt z.\nAnswer: h**3 + 3348*h - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 90*168\/1620*18\/(-8).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express (-3*u**2 + u**2 + u**2)*(5 - 5 - u) + 9*u**3 - 25*u**3 - 4*u**3 + (0*u**2 + u**2 + 0*u**2)*(-3 - 2*u + 3) as i*u + m + j*u**2 + f*u**3 and give f.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-2 + 0 + 0)*(-2 + 2 - f) + 100*f + 737*f + 2547*f)*(-3*f + f + f).\nAnswer: -3386*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -0.07 times 1214179?\nAnswer: -84992.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10842*x + 1235*x**2 - 1 + 1 + 10842*x.\nAnswer: 1235*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 34091?\nAnswer: 73, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -1.418 times 4219\nAnswer: -5982.542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 38927611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = -44*w - 128. Let f be n(-3). Let p = -9\/10 + 17\/30. Sort p, f, 4\/3 in increasing order.\nAnswer: p, 4\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 10.51 + -10.41. Put -0.2, -17, 2\/7, n in ascending order.\nAnswer: -17, -0.2, n, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2665 is divided by 191?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 202091 is divided by 297.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w = -5 + 4. Let k = 4 + w. Let a = -4 + k. Which is bigger: a or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -142.1 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*t + q + 11, 5*t + 5*q + 0 + 10 = 0. Let k(l) = l**2 + 9*l - 10. Let o be k(5). Let h = o + -55. What is the nearest to t in h, 0.3, 2\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -229 and 219610?\nAnswer: -50290690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort -569, -57\/13, 3, 5 in decreasing order.\nAnswer: 5, 3, -57\/13, -569","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1152 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert 64.39576 seconds to nanoseconds.\nAnswer: 64395760000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t + 2*t + 4*g = 16, -5*t = -2*g + 152. Calculate the common denominator of 78\/1*1\/28 and (-6)\/(-10)*(-5 + t\/12).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = -2*v**2 - 11*v - 28. What is i(-4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = 12*l - 5*l + 3*l. Let c(o) be the second derivative of o**4\/6 - 3*o - 54. Calculate c(y(q)).\nAnswer: 200*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = -j**3 - 8*j**2 - 9*j + 8. Let t be x(-8). Let i be ((-24)\/(-18))\/((t\/(-6))\/(-4)). What is the second smallest value in -3\/2, i, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -123 and 69049.\nAnswer: 68926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-5*3\/9)\/((-32375)\/16650).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a be 16 + -6 + -4 + -26. Let x be (((-2145)\/a)\/(-11))\/(15\/(-40)). What is the greatest common divisor of 78 and x?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 5 - (-3 + 0) - (-4 - (-2 - 2))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 14813*0.37.\nAnswer: 5480.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort -76, -224, 1, -23 in ascending order.\nAnswer: -224, -76, -23, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = 4*a**2. Let b(j) = 46*j + 181. Let v(k) = 11*k + 40. Let o(n) = 2*b(n) - 9*v(n). What is o(z(x))?\nAnswer: -28*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 98801 less than or equal to 494011\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*q + 22 - 8 = 2*g, 0 = -5*q + 2*g - 20 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (5\/(-6))\/(5\/10)*-3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is ((-366)\/(-26))\/(-3) - (-1672 + 1665)?\nAnswer: 30\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = -y**2 - 6*y - 4. Let p = 36 + -36. Suppose -5*i - 3*u + p*u = 41, 0 = 4*i + 3*u + 34. What is f(i)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 49 is divided by 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j = -26311 + 26304. Which is the nearest to 3? (a) -4 (b) 37 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o = 2*o + 3. Solve 0*f + f - o = 0, -3 = 4*u - 5*f for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 85 * -991.67\nAnswer: -84291.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p = -4\/5 + 2. Let c be (-4)\/(-10)*(2\/4)\/(151\/302). Find b, given that p*b**3 - 6\/5*b + 2\/5*b**2 - 4\/5 + c*b**4 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -9 less than -407.948?\nAnswer: -398.948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 2259 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = -20*r**3 - 123*r**2 + 128*r - 7. What is i(1)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor -p**2\/4 + 51*p\/2 - 2601\/4.\nAnswer: -(p - 51)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + 33344111?\nAnswer: 33344111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is (-272 - -304) + (2 - 2)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = 55 + -129. Let k = 78 + g. What is the smallest value in 1\/4, -3, k, -1\/14?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**(-2\/5))**(2\/109)*(a\/a**3*a)\/a*a*a**(-3\/7) assuming a is positive.\nAnswer: a**(-5478\/3815)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 13*q + 7 = -t + 11*q, 5*t = -4*q - 29 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(132) + ((-1*sqrt(132) + sqrt(132) + sqrt(132))*-1 - sqrt(132) - sqrt(132)))\/(sqrt(12) - ((sqrt(768) + sqrt(12))*3 + sqrt(12))).\nAnswer: 2*sqrt(11)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 43.97 plus 2.9?\nAnswer: 46.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 34*k + 54*k + 34*k = -46*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g = 3\/107 + -229\/535. Which is smaller: g or 148?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -8 - 4?\nAnswer: -c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 406074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3040 is divided by 179.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-7 - -6)*(0 - 11). Let a = 249 - 150. What is the highest common factor of m and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -77*b**4 - 1204*b**3 + 2*b - 713663 wrt b?\nAnswer: -924*b**2 - 7224*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 127381*w**3 - 2*w**2 - w + 228?\nAnswer: 764286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 13789660?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ammm when four letters picked without replacement from emammeammmammefemm.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {f: 4, n: 3, y: 6}. Give prob of sequence ynff.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {d: 6, f: 13}?\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/19? (a) -2 (b) 5 (c) -2\/7 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 n and 2 k when three letters picked without replacement from {n: 1, k: 11}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(-1)\/v)**(-39)\/(v\/(v**(-2\/9)\/v)*v*v**0) assuming v is positive.\nAnswer: v**(673\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = -2*w**2 + 16*w. Let x(h) = -9*h**2. Calculate b(x(z)).\nAnswer: -162*z**4 - 144*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -0.5 plus -13197.994?\nAnswer: -13198.494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f = -3\/85 + 1369\/255. Find the common denominator of f and -18\/7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -11 times -0.82\nAnswer: 9.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 312*x + 26550 = -750*x for x.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 1\/10 of a hour?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 472, 937, 1402, 1867, 2332?\n\"Answer: 465*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m - 26 = -2*f, 5 - 3 = -2*f - 3*m. Suppose -p = 2*p - 6. Let q(w) = 0 + 2 - 2*w + f*w - w**p. Give q(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 0*l**5 - 4*l**2 - 12*l**3 + 41*l + 4*l**5 + 4*l**4 - 33*l.\nAnswer: 4*l*(l - 1)**2*(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = -2*h**3 + h. Let n be g(-2). Let m = n + -16. Sort m, -1\/10, -3 in descending order.\nAnswer: -1\/10, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from mmmwmwmmmmmw. What is prob of picking 3 w and 1 m?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h = -108 - -110. Suppose -2*y + 3*y = 5*z - 154, 2*z - h*y - 68 = 0. Is 15 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -37 - -42. Suppose y + 5*l = 7 + 8, 2*y - 20 = -a*l. Solve 2*v - y = 1 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 85*z**6 + 1134*z**2 wrt z?\nAnswer: 10200*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 129 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in -2.3, 5, -3?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 74294707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose c + 4*i = 78, -5*c = -c - 5*i - 417. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify c**(11\/5)*c**(-6\/13) assuming c is positive.\nAnswer: c**(113\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 27*c - 18 = 22*c + 2*n, -5*n = c + 18 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = f**2 + 24*f + 84. Let x(z) = -10*z - 31. Give 4*q(y) + 11*x(y).\nAnswer: 4*y**2 - 14*y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 3, -2\/5, -2, 4, 8256 in descending order.\nAnswer: 8256, 5, 4, 3, -2\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 86476373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u + 4*h + 102 = 0, -h + 11 = u - 16. What is the second biggest value in u, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -4\/5 + 29\/30. Let c be 40\/50 + 138\/(-10). Is c at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.4*435.\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 3*j**2*n*z + 4991*j**2*n + 2*j*n*z + 3*j*n + 105*j*z - 3*n + 3 wrt j?\nAnswer: 6*n*z + 9982*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in -1738448, -0.1, 0.04, -1\/6?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(117)*5*-2)\/sqrt(1296))**2.\nAnswer: 325\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00009436876 rounded to five dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = t**3 + 5*t**2 - 8*t. Let z(d) = 17*d + 2*d**3 + 3*d**2 - 3*d**3 - 14*d**2. Let m(j) = 5*u(j) + 2*z(j). Factor m(x).\nAnswer: 3*x*(x - 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 4 and 8572.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -49*22\/(-231)*(-120)\/80.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = k**2 + 88*k + 1712. Calculate l(-59).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -0.05 * 1.32\nAnswer: -0.066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3898?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 15601 + -54?\nAnswer: 15525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -5*17\/(2040\/(-16))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -16 = -6*h + 2*h + 4*p, 2*p + 13 = -3*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = -3*u - 5. Let o be a(-5). Let m(r) = r + 9. Let c be m(-9). Suppose -2*x - o + 42 = c. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xnssxsxnssssxshss. Give prob of sequence xn.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = -i**2. Let u(f) be the second derivative of -1\/6*f**4 + 0*f**3 + 16*f + 0 + 2*f**2. Calculate u(y(x)).\nAnswer: -2*x**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -t**2 + 2*t - 6. Let a be p(8). Let q = 89 + a. Let w = -19 + q. What is the smallest common multiple of 8 and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from dryrldryryy. Give prob of sequence rd.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-207)\/(-483) - 3\/((-21)\/(-115)). Let a(d) = -16*d**3 + 3*d - 3. Let r(l) = -80*l**3 + 16*l - 16. Calculate p*a(v) + 3*r(v).\nAnswer: 16*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -6? (a) 1\/2 (b) -0.2 (c) 1\/13 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (72\/21 - 5) + (2 - 0).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -8 - -12. Let q(y) = y**3 - y**2 + 2*y - 6. Does 33 divide q(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.4 - -1276.08.\nAnswer: 1276.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -61*p - 115*p - 114*p + 43*p + 22*p.\nAnswer: -225*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*n**3 + 0*n**2 + 0*n**2)*(-12 - 16 + 5).\nAnswer: 46*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d = -6345 + 6351. Solve d*x + 15 + 27 = 0 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 6\/(-36)*-6*32. Calculate the highest common divisor of r and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -192 = 27*k + 5*o, -k + 72*o - 29*o + 48 = 34*o for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 99887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 625665822 divided by 3882?\nAnswer: 161171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {c: 2, u: 2, y: 3, r: 4, s: 1}. What is prob of sequence yrcy?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -311663 minus -2.384?\nAnswer: -311660.616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -j = -2, 4*h + 19 = -j + 17 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 2331708 smaller than 2331708?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2 + -3. Let k be 1*(-2 + 2 + -3) + -39. Let q = k + 42. What is the closest to q in w, 0.01, 5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 2108*c**3 - 8884*c**2 + 23163940 wrt c?\nAnswer: 6324*c**2 - 17768*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -10010 - 10100121102?\nAnswer: -10100201112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = p**3 - 5*p**2 + p - 3. Let a be m(5). What is the closest to 1 in 2\/5, -2\/15, a?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b + 33 = 5*j - 33, 34 = 3*b - 4*j. Solve 0 = 3*r - 5*c + b, 3*r + 12 = 2*c + 1 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -r**5\/3 - 2*r**4\/3 = 0. What is r?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 32 and 663520?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 15*g - 21*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 5, -4, 6, 1 in increasing order.\nAnswer: -4, 1, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = -a**3 + 9*a**2 - 2*a + 20. Let f be h(9). Find the first derivative of -31 - f*d**3 + 6*d**3 - 24*d**3 wrt d.\nAnswer: -60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -107.16 - -1348693?\nAnswer: 1348585.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (6 - 2 + 0)*(-2*u**3 + 2*u - 2*u).\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-6)\/4*(-10 - 0). Let b = 97 - 42. Let t = 70 - b. Calculate the greatest common factor of z and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -233020 (base 4) to base 11\nAnswer: -22a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - 1 + 1)*(-z - 3*z - z)*(-z - 2 + 2).\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -976 and 79063582?\nAnswer: 79064558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: (-2 - -26)*(-6)\/(-60) + (69\/(-10))\/(-69)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 229267?\nAnswer: 229267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) be the first derivative of 1641*u**7\/7 + 1306*u**3\/3 + 1067. What is the third derivative of x(j) wrt j?\nAnswer: 196920*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-88)\/(-5))\/(24\/60). Suppose -140*a - 24 + 140*a**3 + r*a**4 + 436*a**2 - 911*a**2 + 455*a**2 = 0. Calculate a.\nAnswer: -3, -1, -2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*h = 4*g - 16, -6*h + 11*h + 20 = -3*g for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p = 59 - 49. Suppose -p*o + 505 = -5*o. Is o a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 84539002 and 26.\nAnswer: 84539028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-70)\/98*-1*7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -6738, -6735, -6730, -6723?\n\"Answer: n**2 - 6739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k be -3 + (-29)\/(-10) + 60714\/(-60). Is k at least as big as -1012?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3388037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11*g**2 + 15*g**3 - 16*g**2 + 32606684 - 32606684 + 5*g**2.\nAnswer: 15*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} {"text":"Question: Let f(i) = -7577840*i**2 + 2. Let g(q) = 4*q. Calculate g(f(b)).\nAnswer: -30311360*b**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*l**3 - 2*l**3 - 5*l**3 - 3*l**3 + 8*l**3.\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i + 0*l + 4*l - 56 = 0, 0 = -2*i - 2*l - 14. Let f be (-6)\/8 - (-51)\/i. Sort -2, f, 1 in increasing order.\nAnswer: f, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 3*1 - (80\/6)\/5. Which is the smallest value? (a) -0.5 (b) p (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 121121110 (base 3) to base 13\nAnswer: 5685","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = 584515*g. Let m(r) = -2*r. Calculate z(m(t)).\nAnswer: -1169030*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 p and 2 w when three letters picked without replacement from {w: 2, k: 1, s: 3, t: 4, p: 2, n: 2}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 2\/10 - 3085\/(-450) and 95\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4869*b - 3241*b + 15401*b)*(-3 + 0 + 2).\nAnswer: -17029*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = i**2 - i - 1. Suppose 3 = 3*b + g, -5*g - 2 = -2*b - 6*g. Let h be j(b). Which is bigger: 29 or h?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 7, p: 12}. Give prob of picking 3 z and 1 p.\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round 25890000 to the nearest 1000000.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p - 3*z + 281 = 0, -3*z = 3*p + 121 + 38. Let x be (-11)\/(p\/30)*(6 - 4). Solve 14 = a + x for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*b = 14 + 41 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 55817.08 days?\nAnswer: 4822595712000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = 6 - 2. Let h(v) be the first derivative of 1\/6*v**3 + 0*v - 1\/8*v**2 - 1\/16*v**m - 2. What is w in h(w) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8138.\nAnswer: 2, 13, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 195494 (base 12) in base 6?\nAnswer: 13311104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.5 + -2. Let w = -39799687 - -39799688.49999912. Let j = w + y. Round j to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} {"text":"Question: Let r be ((-70)\/(-21))\/(-5) + (-46)\/(-6). Differentiate r*i - 20*i + 21 + 13*i + 28*i**4 wrt i.\nAnswer: 112*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1.404 - 0.004. Let g = y - 1.3. Which is smaller: g or 19?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.161521242832 + 0.0467?\nAnswer: -0.114821242832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-22)\/(-4) + 85\/(-170). Solve 2*u - 2 + 8 = n*r, 0 = -2*r + 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 31581\/2 + -15790. Suppose 1\/6*b**5 - 2\/3*b**3 - 1\/3*b**2 + 1\/3*b**4 + 0 + d*b = 0. What is b?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1 + 3. Suppose v*q + 14 + 46 = 0. Let l = q - -12. Is l bigger than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1)\/((5\/(-3))\/((-2 - 316\/102) + 5))?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 7 rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-3)\/(-18))\/((-2)\/(-60)). Let y be (1 - -7)*5\/4. Sort 1, y, i, -1.\nAnswer: -1, 1, i, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 81.16433 from 0.\nAnswer: -81.16433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {w: 1, h: 1, x: 1, j: 1, u: 1, m: 2}. What is prob of sequence whx?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2433, 2382, 2285, 2136, 1929, 1658?\nAnswer: 1317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 7\/3890 and 47\/8.\nAnswer: 15560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 1657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence muw when three letters picked without replacement from umwuu.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5 - ((-34)\/(-8) - (5 + -5)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1107165.\nAnswer: 3, 5, 31, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (-112*f + 3 + 2*f**2 - 127*f + 266*f)*(-53*f**3 + 100*f**3 - 83*f**3).\nAnswer: -72*f**5 - 972*f**4 - 108*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s = 4337 + -4336. Let p = -4.7 + 5. Which is the nearest to s? (a) -5 (b) -0.4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 39 + -15. Let h be (-13)\/4 + 6\/j. Let f be h\/(-2) + (-30)\/12. Is 2\/9 bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -s + 10*b = -0*s - 10*b + 3*b - 76, 3*s = -0*b - b + 20 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10 + (-1 - 5) + 10 + (0 - 6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -3*j**2*w - j**2 - 4*j*w**3 + 4*w**4 - 269 wrt w.\nAnswer: -3*j**2 - 12*j*w**2 + 16*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h = -122.11 + 122.08. What is the fourth biggest value in h, 3, 2, 0.2, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -15 + 19. Which is the second biggest value? (a) 0 (b) -1\/6 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 544 and 459?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*g**2\/2 + 5122266*g + 10244535\/2 = 0 for g.\nAnswer: -1, 3414845","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-6)\/(-2) + 2\/1. Suppose 4*m + 10 = 5*k - m, l*k = -m + 4. Solve 3*f + 11 = -k for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = 17242*i**2 + 91*i - 260. Is p(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:03 PM and 2:52 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d be (6\/(-5))\/(3\/15). Let t = d - -9. Let -1\/5*m**2 + 0 - 1\/5*m**t + 0*m = 0. Calculate m.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 57 - 59. Let q be (-33)\/(-66)*x*(0 - -1). Which is smaller: 2\/349 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v = -u + 4 - 11, -v = 0. Let c(o) = o**2 + 9*o. Calculate c(u).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 672002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-1 - 4\/(-6))*(1 - 124). Let v(c) = 76 - 37 - 4*c - 4*c**2 - w - 2*c**3. Calculate v(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2981?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 r and 2 t when four letters picked without replacement from {l: 1, s: 3, t: 2, p: 6, r: 3}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 1 - 21202012?\nAnswer: -21202011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*z + 50 = -4*z. Suppose -4*t + z = -7. Calculate the remainder when 29 is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(490)\/(-4*(sqrt(250) + sqrt(10)))*-6)\/((((sqrt(343) + (sqrt(343)*-1 - sqrt(343)) - sqrt(343)) + sqrt(343))\/sqrt(7))\/(sqrt(112)*-1)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = 17*h - 9*h - 10*h. Suppose 4 = 5*o - 6. Determine v(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 1 + 550?\nAnswer: 551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = 3*i**2 - 115*i + 78. What is the units digit of a(43)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence llk when three letters picked without replacement from {k: 7, l: 5}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((j*j\/(j*j*j**5))\/j*j)\/j**(4\/5))**35)**(-40) assuming j is positive.\nAnswer: j**8120","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 375200 and 896.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1176)*-2)\/sqrt(12).\nAnswer: -14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -3847, -3868, -3905, -3958, -4027, -4112?\n\"Answer: -8*u**2 + 3*u - 3842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -133*x**6 - 123*x**2 - x wrt x?\nAnswer: -15960*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m = -14 - -17. What is the greatest common factor of m and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0.5, 2, 0.83, -27, 6\/19, -2\/13, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h\/h**(2\/9))\/((h**(-1\/31)*h*h)\/h) assuming h is positive.\nAnswer: h**(-53\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*a + 3*a + 240 = 0. Is 8 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.20711 - -0.00711. Sort 3, -2.35, -2\/15, y.\nAnswer: -2.35, y, -2\/15, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-3)\/208)\/(705\/(-1880))?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose k - 4*q - 12 = 0, 4*q = -5*k + 5 + 7. Let b be (-18 - (-24)\/k) + 5. Sort 5, b, -5, 2 in decreasing order.\nAnswer: 5, 2, -5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -101980599 rounded to the nearest 100000?\nAnswer: -102000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 d and 1 t when two letters picked without replacement from {t: 8, y: 1, d: 4, s: 2, l: 3, c: 2}.\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z - 3*d - 35 = 0, -5*d - 5 = -6*d. Calculate the highest common factor of z and 1175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = -2*m - 2*h, -7 = -4*m - 2*h + 9. Suppose 0 = -2*w + w - m*c - 4, -4*c - 27 = -3*w. Calculate the remainder when 14 is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 66 divide (-70868)\/(-6)*((-935)\/77 + 13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = 980*j**2 + 22*j + 101. What is the ten thousands digit of a(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -1806715554 divided by 6\nAnswer: -301119259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 14090233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 30553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from dcypg. What is prob of picking 1 g and 3 d?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put -6, -0.1, 4 in descending order.\nAnswer: 4, -0.1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = h**2 - 8*h + 5. Let b be x(5). Let a be 5 + -4 - (1 + b). Let d be 7 - (-1 + 3 + 0). Solve -d*f + a = -15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*c - 30951229 = 32300771. Round c to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-3 + 0 + r + 0*r)*(7787279 + 1098*r**2 - 7787279) in the form w*r**2 + p*r + y + j*r**3 and give j.\nAnswer: 1098","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate -11 - (7 + -12 + (0 - -1)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 c and 1 z when two letters picked without replacement from {v: 1, h: 3, n: 1, k: 2, c: 1, z: 5}?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c - 144 = -4*c. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -245 - -1943. What is k rounded to the nearest 100?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -120*g + 85*g + 111*g = 2280 for g.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a = -5513 + 5503. Let f(r) = 17*r**3 + 5*r**2 + 5*r. Let g(y) = -y**3 - y**2 - y. Calculate a*g(v) - 2*f(v).\nAnswer: -24*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m + 434 = 3*x, 6*x - 163 = 5*x - 4*m. Let k be -1 + 2\/(-4 + 6). Suppose 5*i - x - 92 = k. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7 - (5 + -17 + 8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -28 times -420.9?\nAnswer: 11785.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 128817 and 231.\nAnswer: 9918909","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 1612 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (17 - 17 + 10*i**2 - 2*i)*(-2*i + 3 - 3).\nAnswer: -20*i**3 + 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 4017, 4053, 4089, 4125, 4161, 4197?\n\"Answer: 36*n + 3981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 63\/42*(44\/(-6) - 0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 0.4 * -185045\nAnswer: -74018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -96371 = -4*o - 2*w - 13911, 5*w = 5*o - 103060. Suppose 34*d - 29706 = o. What is the highest common divisor of 10 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = -a**3 - 19*a**2 - 54*a + 7. Determine y(-16).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/40 of a tonne in grams?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s - 88 = 11*s. Let g = s + 23\/2. Factor 0 - g*b + 1\/2*b**2.\nAnswer: b*(b - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 526686.\nAnswer: 2, 3, 41, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 1, a: 1, i: 1, u: 1, g: 1}. What is prob of picking 1 u and 1 a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = -140*l**3 - 10*l**2 + 12*l - 24. Let q be z(-13). Suppose 904290 + q = -g. Round g to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 132674?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.11 and -35434.\nAnswer: 3897.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p - 3*s - 2*s = -38, -p = 4*s - 15. What is the lowest common multiple of p and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = 5*u**3 + u**2 - u. Determine s(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) be the third derivative of -3*d**6\/40 + d**5\/12 + 5*d**4\/24 - 126*d**2. Let h(t) = -99*t**3 + 54*t**2 + 54*t. Calculate -5*h(l) + 54*n(l).\nAnswer: 9*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g + 2970 = 3*i - 7630, -4254 = 2*g - 4*i. Let d = g + 3049. Is 22 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 137 and 548.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 5 = 3*f + 10*x - 5*x, 4*x = -4*f + 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Divide 2 by -32389.\nAnswer: -2\/32389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 2700*x = -4*z + 2697*x + 15, 5*x - 9 = -4*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 45\/3926588 and 17\/5.\nAnswer: 19632940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 963, 1922, 2881, 3840?\n\"Answer: 959*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) be the first derivative of 4*o**3\/3 - 4*o**2 - 18. Factor v(x).\nAnswer: 4*x*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-28)\/7 + -20*455\/(-2100). Let k = 2.1 + -2. Let n = 1 - 0. Which is the nearest to 0? (a) n (b) u (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 98263*i - 46509.\nAnswer: 98263","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -8*r**4 + 11*r**2 + 766 with respect to r.\nAnswer: -32*r**3 + 22*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Work out -121153890 - -253142.\nAnswer: -120900748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*d + 4*d - 2*d - 52*d.\nAnswer: -52*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:05 AM and 6:14 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1553\/2 - 2279\/3. What is the common denominator of v and -43\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = 7 + 6*p**2 - 7*p - 13 - 3*p**2. Let d be w(-5). Calculate the highest common factor of 13 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) be the first derivative of r**4 - 64*r**3\/3 - 1300. Solve y(d) = 0 for d.\nAnswer: 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} {"text":"Question: Express (-4*p + 3*p - p)*(-67 + 73 + 33) + 3*p - 9*p - 17*p in the form s + d*p and give d.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = -o**2 - 16*o + 5. Suppose 4*c + 24 = -2*n, 4*c - 4*n = 2*c - 2. List the prime factors of u(c).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(660) + sqrt(660)*-2)\/sqrt(11) - sqrt(60) - sqrt(240)*-6)\/(sqrt(300) + sqrt(300)*-2 - -1*sqrt(192)).\nAnswer: -10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 87*u**2 - 214 - 77*u**2 + 214.\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 r, 1 g, and 1 q when three letters picked without replacement from aqggqzgagqgr.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 30663691567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1110111011 - -1001110010?\nAnswer: -101001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2*(-2*sqrt(104) - sqrt(104)) - sqrt(104))\/(sqrt(88)\/(sqrt(44)\/sqrt(4))))**2 - -5*sqrt(117)*2*-2*-1.\nAnswer: 60*sqrt(13) + 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j**(-1\/4))**27*(j*j**1)**(1\/86))**17 assuming j is positive.\nAnswer: j**(-19669\/172)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 2643592 divided by 1321796?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 0.065211571 rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (56\/(-14))\/((600\/125)\/(4\/15))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 26216075 and 69525?\nAnswer: 2575","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-640)\/948 - 20\/(-15). Let a = 5212\/237 - m. What is the common denominator of 42\/29 and a?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 23520665 - 23520665.24500714. Let w = -0.245 - n. What is w rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence sr when two letters picked without replacement from {s: 3, r: 2, m: 12}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*g + g + 9. Solve g*k - 4*k - 22 = -5*c, 4*k - 32 = -4*c for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 33*x**2 - 7*x + 2646?\nAnswer: 66*x - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 109\/832 and -7\/64.\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -10, 1, 0.\nAnswer: -10, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m - 13 = -4*g, -5*m = 10*g - 5*g - 10. What is the smallest common multiple of 6 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1326, 4, -1380 in ascending order.\nAnswer: -1380, -1326, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 0.1, 7, 2, 2\/19?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.186 + 2.726. Let y = f - 0.14. Let h = 2 - y. What is h rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 72 and 8982.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = 2*t**2. Suppose 6*b + 24 = 3*b. Let z be 5\/(-2)*b\/5. Let c(j) = 0*j - 9*j + z*j - 4*j. Determine i(c(a)).\nAnswer: 162*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1344 - 455 - 441 + 236*c + 73*c - 448.\nAnswer: 309*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -40 - 33*z - 13*z + 40.\nAnswer: -46*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m be (0 + 1)*(-1)\/6. Let w = -0.088 - 4.852. Let u = w - 0.06. Which is the second smallest value? (a) u (b) m (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.5 and 17?\nAnswer: -8.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1046832 to the nearest integer?\nAnswer: 1023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t = -19384 - -3682969\/190. What is the common denominator of t and -7\/57?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = -r**2 - 92*r + 1988. Calculate m(18).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = v**3 + 6*v**2 + 4*v - 3. Let t be p(-5). Is (-1)\/t*-114 + -2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -111001000 (base 2) to base 5\nAnswer: -3311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7017181 is divided by 412?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1344) + sqrt(1344) + (sqrt(1344) - 1*sqrt(1344)))\/sqrt(7)*-4*6.\nAnswer: -384*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*p + 3 - 3)*(0*p**2 - 3*p**2 - p**2) - 3*p**2 - p**3 + 3*p**2 + (-2 - 2 + 0)*(4*p**3 + p**3 - 3*p**3).\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -22 in -3\/4, 0, -3, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 93990000 rounded to the nearest 1000000?\nAnswer: 94000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 420 minutes after 7:31 PM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort -32, 68087, -7 in decreasing order.\nAnswer: 68087, -7, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2*r*s**3*z - 70*r*s**3 + 66*r*s**2 + 3668*s**3*z + 2*s**3 - 1335*s**2*z wrt s.\nAnswer: 12*r*z - 420*r + 22008*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) be the third derivative of h**8\/168 - 149*h**7\/105 + 1406*h**6\/15 - 2738*h**5\/15 + 5*h**2 - 289*h. Determine c so that f(c) = 0.\nAnswer: 0, 1, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -45*b + 42*b - 5*j - 17, -2*j - j + 1 = -b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q = 7*z - 10*z - 16267, 2*q - 4*z - 6518 = 0. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w = 4*t + 2*w + 21, -w = 4*t + 15. Let k be (-1 + 2)\/1 + 2. Let i be (-4 + k)\/3*0. Sort i, -4, t in descending order.\nAnswer: i, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2144203124 (base 5) in base 12?\nAnswer: 16975a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 141739146 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1015 + 982. Do -29 and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = -2*i**2 + i - 3. Determine t(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u = -4\/4773 - -79033\/15910. Let m = -65885\/4 - -741232\/45. What is the common denominator of u and m?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 656357506?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o = -740 - -741. Let g be 10\/(-40) - (1218\/(-8) - o). Calculate the greatest common factor of 17 and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 1\/99 and 31\/66.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -y + 4 - 12. Let k = -4 - y. What is the least common multiple of 4 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 73\/5 of a microgram?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = 4*m - 23. Suppose 0 = m*k + 6 - 16. Suppose -w = k*a + 1, -23 = a + 4*w + w. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine v, given that 2*v**4\/9 - 78*v**3 - 16330*v**2\/9 - 3394*v - 14920\/9 = 0.\nAnswer: -20, -1, 373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 1057 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1810 - 1812.457. Round n to 1 dp.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be -2 + (-67530)\/462 - 6\/21. Let n = 149 + k. Factor 36\/11 + n*s**3 + 24\/11*s**2 - 6*s.\nAnswer: 6*(s - 1)**2*(s + 6)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q and 1 t when two letters picked without replacement from ttq?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -1092259 take away 67?\nAnswer: -1092326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Add -0.3 and 3676.\nAnswer: 3675.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = -g**3 + 7*g**2 - g - 6. Let b be q(7). Let l = b + 8. Let j = 7 + -9. What is the closest to -0.2 in -3, l, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*t**2 + 2 - 2)*(2*t**2 - t**2 + t**2) + (t**4 + 3*t**2 - 3*t**2)*(-17 - 40 - 7) - 3*t**4 + 2*t**3 + 4*t**4 + 3*t**4.\nAnswer: -64*t**4 + 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*s + 69 - 13 = 0. Suppose 5*f = -s*f + 72. Suppose 3*h - 100 = -2*w, -f*w + 7*w + 4*h = -72. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 4.80121ml?\nAnswer: 0.00480121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-10)\/(1620\/6)*2.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2070446308?\nAnswer: 2, 7, 73944511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -25*n**4 + 2*n**3 + 2*n**2*v**2 + 5*n*v**2 - 1 wrt n?\nAnswer: -300*n**2 + 12*n + 4*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k = 17 - 12. Calculate the remainder when k is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(-5 + -4*sqrt(192) + 0 + 5 + -5)*-6*-4)**2.\nAnswer: 1658880*sqrt(3) + 16054848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(2940)*2)\/(sqrt(192)\/sqrt(4) + sqrt(12)))**2.\nAnswer: 980\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1399 divided by -110659.\nAnswer: -1399\/110659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -0.3, -1820\/11 in decreasing order.\nAnswer: 0, -0.3, -1820\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 14556361.\nAnswer: 14556361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 1800307561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*i**5 - 12*i**3.\nAnswer: 3*i**3*(i - 2)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = 5*q**2 - q - 19. Let z(d) = d**2 - 4. Let v(f) = -2*y(f) + 11*z(f). Calculate the remainder when v(4) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose y - 2 = -0*y. Suppose 0 = -4*u + 3*r + 59, 5*u - y*r = -0*u + 65. Suppose -265*d + 305*d - 40 = 0. What is the greatest common divisor of u and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 34770067 or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) be the second derivative of -x**4\/6 + x**2\/2 + 42*x. Give m(-3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of a**2*s**3 + 183*a**2*s**2 - 3169*a*s**3 + 58*a*s**2 + 2*s**2 wrt s?\nAnswer: 6*a**2 - 19014*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -116*g + 198778 - 99378 + 322840 = 0. Calculate the remainder when g is divided by 35.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -3542, -28280, -95416, -226148, -441674, -763192, -1211900?\nAnswer: -1808996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = o**2 + 6*o - 4. Let t be p(-7). Let y(n) = -2*n - n + 3*n - t*n**2. Let a(j) be the third derivative of -j**4\/24 + j**2. Give y(a(g)).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = 8*c + c - 3*c. Let v be z(-1). Let q(s) = -s**2 - 9*s + 3. What is the units digit of q(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = b. Let r(k) = 27*k - 2. What is r(a(x))?\nAnswer: 27*x - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = 10*i**2 - 18*i + 14. Let y be a(14). Suppose -y - 1267 = -7*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 units digit of (-6)\/5*60\/18 - -406?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 11787 + -11788. Let f = -37\/6 - -13\/2. Which is the closest to f? (a) 0.4 (b) 2\/13 (c) 0.2 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q - 3*t - 22836 = 0, 4*q = -t + 48866 - 3180. What are the prime factors of q?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.672604 rounded to 2 decimal places?\nAnswer: -0.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = -h. Let q(n) = -223*n**2 - 26*n + 222. Give k(q(z)).\nAnswer: 223*z**2 + 26*z - 222","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 7*v - 34 - 1. Suppose 0 = -v*t + 101 + 114. List the prime factors of t.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = 3910*n + 23252. What is t(-6)?\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i be 3 + (10 + -7 - (0 + -1)). Suppose -182 = -i*t - 28. Does 18 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 0.3, 1\/9, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n = -187\/455 + 9\/35. Which is the biggest value? (a) -14 (b) n (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 4 (base 7) to base 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 58663.\nAnswer: 11, 5333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ymmysmyy. What is prob of picking 1 s and 2 m?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 49 and 148939?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(-8\/7)\/(h*h**(-5\/7)\/h*h))**43\/((h*h\/(h*h\/h**(-7)))\/(h\/(h*h\/h**(-6))*h)*(h**(9\/4)*h*h*h)\/h**6) assuming h is positive.\nAnswer: h**(-1671\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 4835?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = -u. Let v(z) = -2*z. Give 3*r(j) - 4*v(j).\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 21387, 21645, 21945, 22287, 22671?\n\"Answer: 21*x**2 + 195*x + 21171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 148956?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n be (942\/(-4))\/((-1)\/2). Suppose -n = -0*g - 3*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = -2*i. Let w be (6 - 3) + 6*-1. What is o(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2029600 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = -30*r**2. Let a(k) = 405*k - 421. Determine a(i(m)).\nAnswer: -12150*m**2 - 421","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 126668 plus -1185.573393?\nAnswer: 125482.426607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1229*m**3 + 1231*m**3 + 19077*m - 19077*m.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x = 554 + -266. Let o = x - -91. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 200111 (base 3) to base 9.\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 3078 and 2736?\nAnswer: 24624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = -k**3 - 24*k**2 - 85*k - 80. Let x be r(-20). Let g(l) = -l**3 + 13 + 21*l**2 + 4*l - 8*l**2 + 7*l**2. What is the units digit of g(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 307154708?\nAnswer: 2, 7, 17, 59, 10937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i**3 + 4*i**3 - 4*i**2 - 40 + 44 - 2*i = 0. Calculate i.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) be the second derivative of -v**3\/3 + v. Suppose -p = -5*p + 8. Let s(h) = -3*h**2 + 2*h**p - 3*h**2 - h**2. Calculate s(l(t)).\nAnswer: -20*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: (4\/8)\/(2\/12)*(-172)\/774\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 15, 11, -9, -51, -121?\nAnswer: -225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put 19, -2, -658 in ascending order.\nAnswer: -658, -2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 457705 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -1 times 30870387?\nAnswer: -30870387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -6630 divided by 26\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r be 654\/(-531) - 6\/9. Let b = r - -3657\/590. Find the common denominator of b and (-29)\/20*9\/3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1 + n**4 + 16*n + 2*n**3 - 14*n - 1 to w*n**4 + q*n**2 + l*n**3 + p + z*n and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = r**3 - 3*r**2 - 4*r + 5. Suppose -4*y + 16 = 0, k + 3*y = -k + 408. Let h = -194 + k. Calculate t(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = 777*f + 563. Let x be s(-1). Which is bigger: -217 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1, -53, -2\/13, 0, -2, -0.3, 1\/128?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -1 - -88?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 3.6286? (a) 1\/7 (b) 5 (c) -0.3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 3, d: 3, m: 1, z: 1, w: 2, k: 2}. What is prob of sequence kd?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h = 10 + -6. Let m(l) = h*l**2 + 6 + 2*l - 2*l**2 - 10*l - l**2. Suppose -4*z + 32 = 3*j, -3*j + 26 = 2*z + j. Determine m(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v = -8 + 2. Suppose -3*d + 2*m = -2692, -d - 3*m + 3612 = v*d. What is d rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4128 divided by 1032.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r = 2199.3 + -2199. What is the smallest value in 1\/3, -2, r, 205?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -49*f + 40*f + 234*f.\nAnswer: 225*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 0 - 6663?\nAnswer: -6663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 5 divided by 185939?\nAnswer: 5\/185939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t = -2*t + 200. Suppose -3*f - 48 = -2*r - 0*r, 2*r = -f + t. Suppose 5*c - 131 = -r. Calculate the greatest common divisor of c and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = -49*q**3 + 21*q**2 - 21*q - 21. Let d be ((-24)\/15)\/4 + 428\/20. Let w(j) = -12*j**3 + 5*j**2 - 5*j - 5. What is d*w(v) - 5*x(v)?\nAnswer: -7*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -1731*w**2*x**4 + 3*w**2*x**2 + 144*w*x**2 - 36938*w - 3559*x**4 wrt x.\nAnswer: -41544*w**2*x - 85416*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = -30905*x**2 - 4*x + 2. Let u(d) = 148*d**2. What is n(u(b))?\nAnswer: -676943120*b**4 - 592*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is -62497 greater than -3437331\/55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:30 AM and 2:54 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-7)\/21)\/(-3 + 2)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000000092504 rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*f - h - 185 = -155, 10 = -4*f + 2*h for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = -35 - 2*u**2 - 18 + 53. Let d(y) be the second derivative of 5*y**3 + 2*y. Determine d(m(r)).\nAnswer: -60*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) be the first derivative of 17*v**3\/3 - 3*v**2\/2 - 4*v + 3452. Let t(z) = -17*z**2 + 2*z + 3. Calculate 4*f(y) + 5*t(y).\nAnswer: -17*y**2 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 8 - ((-2 - -3 - 1) + 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 255, 5, -1\/1222?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of ((-6)\/5)\/(0 - (-5)\/(-1225)).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-z**3 + 0*z**3 + 3*z**3)*(-6 - 11554*z + 4 + 19026*z + 30196*z) to the form n*z**2 + o + h*z**4 + a*z + u*z**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify a**(-2)*a**(4\/3)*a*((a\/a**1)\/a)**(-29)*((a\/(a**(-1\/2)*a))\/a)\/a**(-1)*a**(2\/11)*a**(-6\/7) assuming a is positive.\nAnswer: a**(13471\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 136718?\nAnswer: 2, 197, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-12)\/(-66) - 2\/11. Suppose k*o + 60 = 4*o. Suppose -6*c = 3*s - c - 38, -s + o = 4*c. Is s a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*a = -20*a + 336. Calculate the remainder when a is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1348474*m - 1 + 0 - 4*m**2 + 1348474*m.\nAnswer: -4*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.5? (a) -1 (b) 357 (c) 0.5 (d) -36\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w - r + 380 = -2*r, 0 = -3*w + 5*r - 200. Let z = -51 - w. Solve -3*p - 3*k - z = 0, k - 5 = p - 3 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b*b**29)\/b)\/(b\/(b*b\/((b*b**(1\/46)*b)\/b))*b)*b\/(b**(-16\/7)*b*b)*b**12 assuming b is positive.\nAnswer: b**(13287\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort -66, -5, 0, -11, -2\/3 in descending order.\nAnswer: 0, -2\/3, -5, -11, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = -i**2 + 7*i + 3. Let q be a(4). Let h(r) = 2*r**2 - 16*r - 19. Is h(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve t - 3 = -5*r, -15 = -3*r - 12*t + 7*t for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4\/(-10) + (-5952)\/(-480).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 14*h**5 + 94*h**4 - h**2 + 9*h + 529.\nAnswer: 280*h**3 + 1128*h**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 s when three letters picked without replacement from hskshshkshh?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -50*q = -64*q + 56. Suppose 17*j = 18*j - q. Solve -2*b + 7*b - 12 = -j*s, -b - 2 = 3*s for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1290598.\nAnswer: 2, 41, 15739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is -9986 > -688\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from tkytttttttttytyt. What is prob of sequence ktyt?\nAnswer: 33\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 701*r - 704*r = -2*p + 1, 12*p - 66 = -2*r for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w = -2 + 5. Let k = w - 1. Solve -3*u = -k*p - 5, -u = 3*u - 12 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify u**(5\/4)\/u**(3\/8)*((u**(2\/25)*u)\/u)\/(u**(-2\/15)\/u) assuming u is positive.\nAnswer: u**(1253\/600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = -843*r**2 + 37*r - 7. Let d(u) = 422*u**2 - 22*u + 4. Determine 5*d(b) + 3*j(b).\nAnswer: -419*b**2 + b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 0.41 * 0.04\nAnswer: 0.0164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 124002141 (base 6) to base 8.\nAnswer: 11203355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9754658.\nAnswer: 2, 83, 58763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*x = -4*x + 429. List the prime factors of x.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r + 16*g - 12 = 13*g, 0 = -3*r + 6*g - 27. Solve x - 7 = 35*h - 34*h, -3*x - r*h = -3 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -5, -47, -125, -245, -413, -635, -917?\n\"Answer: -g**3 - 12*g**2 + g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = -710.990351 + -1.650649. Let n = -712 - i. Round n to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = a**3 + a + 2. Let w(l) = -l**2 + 3*l + 4. Let g be w(4). Let u be z(g). What is the third derivative of t**3 - 6*t**3 - 2*t**u - t**3 + t**3 wrt t?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine l, given that 4*l**4\/5 + 66*l**3 + 158*l**2 - 4962*l + 12166\/5 = 0.\nAnswer: -79, -11, 1\/2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 24, 2, -2, 5 in increasing order.\nAnswer: -2, -1, 2, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = m**3 - 8*m**2 + m - 1. Let p be f(8). Calculate the highest common divisor of p and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 31716 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: Is 2 a factor of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o = 108746 - 40995. List the prime factors of o.\nAnswer: 67751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 10361\/7, 5, -4\/83.\nAnswer: -4\/83, 5, 10361\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = p**3 - 42*p**2 + 2*p - 81. What is n(42)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x + x = -4. Suppose 0*z = -4*z - x*n + 84, 2*n + 76 = 4*z. What is the remainder when 57 is divided by z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = -29*b + 6. Let i be v(3). Let z = 926 - i. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (105 + 0)*112\/48. Let w = -95 + z. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4030.\nAnswer: 2, 5, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -82 = 22*d + 6 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Determine n, given that -6*n**4\/13 + 2056*n**3\/13 - 105150*n**2\/13 - 36652*n\/13 + 70560\/13 = 0.\nAnswer: -1, 2\/3, 63, 280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -2\/7, -91, 2, -1\/3, 13 in increasing order.\nAnswer: -91, -1\/3, -2\/7, 0, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 251 minutes before 5:31 AM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 3784225 to the power of 1\/3, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = 9*f + 7. Let y be s(-3). Let v(l) = -75*l + 75. Let x be v(y). What is x rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 5096.1 - 1782. Round r to the nearest 100.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 130948874?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x - 3*z + 0*z = 0, 4*z = -12. What is the third derivative of -d**2 - 55*d**x - 27*d**3 + 15*d - 14*d**3 + 3*d**2 wrt d?\nAnswer: -576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -180\/17 + 5011\/340. Find the common denominator of c and -145\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b - 34 = 4*p, 6*p - 4 = 4*b + p. What is the hundreds digit of 1097\/6 + (-1)\/b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 217\/56100 and 127\/990.\nAnswer: 168300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = -1 + 2*q**2 + 1. Let j(d) be the second derivative of -d**4\/12 - 3*d. What is a(j(m))?\nAnswer: 2*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:00 AM and 2:24 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = a**2 + 5*a - 18. Let p = -1098 + 1101. Give m(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 22 + 28 - 10*n**4 + n**2 + 24 + 0*n**4 - 50 + n to the form g*n**4 + q + h*n + m*n**3 + l*n**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is (-1)\/30 - (-84)\/45?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 87287524?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert -50431615 (base 7) to base 16.\nAnswer: -3ffa1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0 + 3 + 300987*g**2 - 300986*g**2 - 3.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x = -3 - -2. Let i = 27 - 30. Let n(z) = 2*z**2 + 4*z - 1. Let r(k) be the first derivative of -k**3\/3 - k**2\/2 + k + 7. Determine i*r(a) + x*n(a).\nAnswer: a**2 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 1\/20 of a hour?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00263185303 rounded to seven decimal places?\nAnswer: -0.0026319","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -193 = -4*y + 5*b, 173 = -0*y + 4*y - b. Calculate the least common multiple of 21 and y.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 758 and 118?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 12439268?\nAnswer: 2, 3109817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 6.304691ml?\nAnswer: 0.006304691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = -t**2 + 6*t - 6. Let g(o) = o**2 - 2*o - 4. Let n be g(4). Let s be w(n). Suppose 3*h = -2*v + 79, -4*v - 74 = -4*h + s*h. Is h a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 438 - 437. Put -25, 2, 5, 3, h in decreasing order.\nAnswer: 5, 3, 2, h, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) be the third derivative of -i**5\/15 + 13*i**4\/8 + 17*i**3\/3 - 245*i**2. Let l be w(11). Sort 4, -3, l, -4 in decreasing order.\nAnswer: 4, -3, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 27, -21, -79, -153, -249?\nAnswer: -373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 182*v = 176*v - 24. Let x = 451 + -454. Sort -1, -5, v, x.\nAnswer: -5, v, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-3)\/36 + -204745*(-14)\/168 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 6 and 222.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) be the second derivative of -374*k**4\/3 - k**3\/3 + 231*k**2 + 516*k + 1. What is the second derivative of c(y) wrt y?\nAnswer: -2992","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: ac26d (base 14) to base 8\nAnswer: 1457451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*w = 21*g + 57 - 177, -3*g + 29 - 9 = w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 54\/184 - 737\/16951?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (14\/6)\/(-7)*(-33)\/11.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is (-4)\/(-14) + 4 + (-29)\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/5 in 1\/61, -1, -3, -6, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -22 - (-11 + 0 + (-30 - -51) + -7).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -31, -127, -223, -319, -415?\n\"Answer: -96*t + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 307868393?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = -2*p**2 + 3*p - 6. Let f(a) be the first derivative of a**2 - 2 - 2\/3*a**3 - 5*a. Suppose 3*d = -3 - 6. Determine d*f(s) + 2*w(s).\nAnswer: 2*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((g\/(g**(1\/14)*g))\/g*g)\/g)**(1\/5) assuming g is positive.\nAnswer: g**(-3\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 9913320 divided by 5480\nAnswer: 1809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:24 AM and 1:59 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r + 31 + 218 = 2*i, 4*i - 507 = r. Let f = -63 + i. Suppose -7*h + f = -161. Calculate the remainder when h is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: (30\/(-9) - -3) + 14\/(14\/(-2))\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: (((-4)\/2)\/8)\/((-45)\/(-60))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from dlldl. Give prob of sequence dl.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -17252*p - 322 = -17275*p for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 0 - (6 - -2) - (7 + -8)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = 38*l + 13. Let r(x) = 19*x + 6. Calculate 4*n(o) - 9*r(o).\nAnswer: -19*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r + 15*r + 11*r - 37520 = 0. Calculate the smallest common multiple of r and 50.\nAnswer: 6700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -656542.52 to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(847)*2 + sqrt(847) + (sqrt(700)*2 + sqrt(7) - sqrt(7))**2 - 1*(0 + 1*sqrt(7)).\nAnswer: 32*sqrt(7) + 2800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = -2*y - 33. Let b be f(9). Which is smaller: -48 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z + 13 = -2*f - 7, -5*f - 29 = 2*z. Suppose 2*y = 171 - 165. Is z\/y - (0 - (-32)\/(-3)) 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 10461425?\nAnswer: 5, 13, 32189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-4)\/14*(-2 - (-7 - -12)). Let t(q) = -209*q**2 - 39*q + 619*q**i + 39*q. Let c(k) = 2*k**2. What is t(c(h))?\nAnswer: 1640*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let -90*w**3 - 27802*w**5 + 48*w + 40*w**2 - 40*w**4 + 27804*w**5 - 13*w + 53*w = 0. What is w?\nAnswer: -2, -1, 0, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -95, -24, 47, 118?\n\"Answer: 71*n - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -3\/4, -276, 2, -2, -0.2?\nAnswer: -276","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y - 16 = -0. Solve 2*h - y = 2*r, -5*r = 3*h - 5*h + 14 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 5\/(-3)*(-1220)\/1300 and -61\/143?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 74158989?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round -13.114031 to zero decimal places.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c + 297 = 252. Let d be (5000\/(-45))\/(-5) - (-2)\/c. Suppose -3*p - 3*w + 2*w = -66, -p + d = -w. Is p <= 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 65052 and 229671.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = -211*z - 206. Let a be p(-1). Sort -1, -236, 0, a, 4 in increasing order.\nAnswer: -236, -1, 0, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -13 - -10201133101?\nAnswer: 10201133022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -82*i**6 - 75*i**6 + 159*i**6 - 124*i**2 - 41*i**5 wrt i.\nAnswer: 240*i**3 - 2460*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -206, -410, -614, -818, -1022?\n\"Answer: -204*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = g**3 + 14*g**2 + g + 17. Let x be t(-14). Suppose 1 - 7 = -x*f. Suppose u - 3*u = -12. Calculate the remainder when u is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 13 (b) 2 (c) 1\/8 (d) 23\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = -p**3 - 5*p**2 - 4*p - 1. Let j(t) = t**3 - t + 1. Let o be j(2). Let c = 10 - o. Let v be c\/(-2)*16\/6. Give i(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 410 is divided by 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence of when two letters picked without replacement from {k: 1, p: 3, o: 3, f: 2, h: 1, y: 3}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor -l**3 + 70*l**2\/3 - 23*l\/3.\nAnswer: -l*(l - 23)*(3*l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-12)\/(1\/(5\/(-10))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -3178 = -261*b + 663*b - 13228 for b.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00010209504 to five decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = -i**2 + 11589*i - 92783. What is c(8)?\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify s**3\/(s**(-2\/17)*s)*((s**(2\/15)\/s)\/s)\/s*s*s\/s**5 assuming s is positive.\nAnswer: s**(-956\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -26 + 282a525?\nAnswer: 282a4aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express (4 - 6 + 3)*(0*d + 0*d - d) - 4006 + 4023 - 110*d - 17*d in the form p + c*d and give c.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = 20 + 87*b - 106*b**2 + 111*b**2 + 97*b - 215*b. Let h = 0 - 2. Let d(m) = -m**2 + 6*m - 4. Let u(p) = h*s(p) - 11*d(p). Calculate u(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*r + 6 - 16. Find the common denominator of ((-14)\/(-2))\/(-105)*r\/6 and 27\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 43 divided by -2?\nAnswer: -43\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 0.200756 and 3.5969?\nAnswer: 3.396144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 27 divide 179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k = -799 + 1742. What is the highest common divisor of 46 and k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify s**(-9)\/(s**(3\/2)\/s) assuming s is positive.\nAnswer: s**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 131*s + 5670 = -175*s + 396*s for s.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: (9 + 11 - (-2 - -10)) + -7\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = -61 + 60.8. Which is smaller: 0.1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 18 + -22. Suppose -2*x - 27 = 7*x. Put 3, x, w in descending order.\nAnswer: 3, x, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) be the first derivative of m**4\/4 - m**3\/3 - 2*m**2 + 3*m - 26. Let z(h) = h**3 + 6*h**2 + 4*h - 3. Let f be z(-5). Determine c(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {m: 7, t: 5, s: 1, a: 3, z: 3}. Give prob of sequence mmma.\nAnswer: 35\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -2\/51, 6, 0.08?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 223610274.\nAnswer: 2, 3, 4140931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l = 63 + -61.4. Let b = -1.59768 + l. What is b rounded to 4 decimal places?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) be the first derivative of -4*c**3\/21 + 4*c**2\/7 + 9. Determine p so that l(p) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 901816, 901785, 901754, 901723, 901692?\nAnswer: 901661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 555, 549, 543, 537, 531?\nAnswer: 525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 10.776651 rounded to one decimal place?\nAnswer: 10.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1 - (-5 + 12)) + 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -7 + (-7 - -5 - -5) + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k = -0*k + 64. Let j = -18 + k. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = -154*c**2 - c + 155*c**2 + c. Let w(r) = 9*r + 4. Let k(a) = -260*a - 117. Let g(d) = -4*k(d) - 117*w(d). What is g(u(s))?\nAnswer: -13*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -75*c = -74*c + 4*r - 5649, -4*r = -4*c + 22676. Does 55 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -57487*z + u + 9 = -57492*z, -6*z - 4*u = 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 8627? (a) 1.6 (b) -4\/5 (c) 2\/5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.03 + -4762.\nAnswer: -4761.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y = 5*y + 54. Let h = -10 - y. Is h a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = -2082*c + 476. Let q(o) = 1042*o - 235. Let v(h) = -3*f(h) - 5*q(h). Differentiate v(i) wrt i.\nAnswer: 1036","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0001825198 rounded to 5 decimal places?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = 4*y + 1. Let z(p) = -2*p - 1. Let t(o) = 4*d(o) + 10*z(o). Let v be t(-1). Let b(f) = 2*f**2 + f + 4. Does 10 divide b(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = -2*w**2 + 44*w - 7. Is 18 a factor of d(18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) be the second derivative of d**8\/1680 - d**4\/8 - d**3\/2 - 3*d. Let a(m) be the second derivative of i(m). Differentiate a(o) with respect to o.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 34 + -24. Let b(p) = -2*p**2 + 20*p + 11. Give b(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -591817*j*o**2 + 18*j + 43*o - 3 wrt o.\nAnswer: -1183634*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 141, 116, 73, 12, -67, -164?\nAnswer: -279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/3 in 44\/235, -0.4, 1\/2, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = v**2 - 2*v + 5. Suppose 8*t - 88 + 440 = 0. Let q = t - -44. Give b(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.4, 1\/4, -1.157.\nAnswer: -1.157, -0.4, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*t + 0*t - 24 = 3*i, 5*t + 35 = -4*i for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 520905262 and 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 845276.\nAnswer: 2, 211319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 24 and 5592?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = -158*y - 6962. What is p(-44)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-63)\/405*(-4)\/7 - 34\/153.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = -141*r + 999. Let u be x(7). Let o be 12\/(-3)*2\/(-4). Solve -s - 1 + u = -o*h, 0 = s - 5*h - 20 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4495194 less than -1324?\nAnswer: -4496518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put -900, -4, -174\/5, 3\/5, -2 in ascending order.\nAnswer: -900, -174\/5, -4, -2, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -56525.8529 and 0.5?\nAnswer: 56526.3529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = 7*m - 5. Let k be r(3). Let h be (-2 - (-2 + 1)) + k. What is the highest common factor of 75 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) be the second derivative of -q**3\/3 - 9*q**2\/2 + 2*q. Let z be a(-6). Solve -n + 7 = z*v, 5*v = -4*n + 3 + 4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 375573?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = -2*d**3 + 9*d**2 + 7*d + 4. Let t be s(-6). Suppose -q = -4*x - 25 + t, -363 = -2*x - 5*q. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 + 20 + -7 + -2\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = 3*p**2 + 16*p - 21. Let u(l) = -6 - 2 - 8*l - 3*l - 2*l. Let x be u(0). Is w(x) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ozzzo. Give prob of picking 2 o.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a + 8 = -a. Let b be a\/(-10) + 66\/15. Differentiate 7*o**4 - 2*o**b - 5 - 9*o**4 with respect to o.\nAnswer: -16*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8835 is divided by 94.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000002125049 to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -19123 (base 14) in base 2?\nAnswer: -1111011101101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -2123310 (base 4) to base 13\nAnswer: -4701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2737*z - 2220*z - 2*z**2 - 1575*z to the form i*z + o + k*z**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in twenty-seven fifths of a kilogram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 454142665?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 69205 - -1?\nAnswer: 69206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from mumbtggmbbm. Give prob of picking 1 t and 2 m.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*h*x**4 - 4*h*x**3 + 2*h*x**2 - 388*h*x - x**4 - 16793*x**3 - 542*x**2 wrt x?\nAnswer: -48*h*x - 24*h - 24*x - 100758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 24051.3 kilometers?\nAnswer: 24051300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 10768?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = 31*c. Let w(d) = -12790*d. Calculate f(w(z)).\nAnswer: -396490*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -16.1 times 7?\nAnswer: -112.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from hhkkzhhkzzkhkhhz. Give prob of sequence zkk.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = l**3 + 4*l**2 + 3*l. Let r be f(-2). Suppose r*t = -3*a + 10, 5*t - 7 = -5*a + 18. Factor a*m**3 + 0*m - 2*m + 2*m**3.\nAnswer: 2*m*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1067 - 1049. Let c(t) = -t**2 + 18*t + 5. Calculate c(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 1249989, 2499976, 3749963, 4999950?\n\"Answer: 1249987*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 - (9 - (10 + -4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) -0.5 (b) 1\/101 (c) 117\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) be the third derivative of a**6\/24 - 3*a**5\/20 + a**4\/12 - a**3\/2 - 3*a**2 - 2. Let z be w(2). Solve -2*j + 7*j - z = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 5328463*j*y**2 - 166*y**2 + 4701*y wrt j?\nAnswer: 5328463*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u = -14 + 17. Let y(w) = -2*w**3 - w**3 - w**3 + 3*w**3 + 7*w**2. Let f be y(7). Solve f = -0*b - u*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*m - 1682 = -1664 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = 3*i**2 + 6*i - 5. Let b(s) = -9*s**2 - 17*s + 14. Let z(y) = -4*b(y) - 11*u(y). Let x be z(1). Solve -x*q = -3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 0.2, -2, 1\/21, 4 in descending order.\nAnswer: 4, 0.2, 1\/21, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -17 + 4 + 3 + 5 - -5 - -35.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (12180\/6960)\/((-5)\/120*-57).\nAnswer: 14\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d + t = -133, -t = -4*d + 2*t + 534. What is the remainder when d is divided by 47?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 9 or 10929?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d = -4955 + 6671. What is the lowest common multiple of 1716 and d?\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 6316301 and 102343.\nAnswer: 1931","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 14136, 14098, 14062, 14028, 13996?\n\"Answer: h**2 - 41*h + 14176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (sqrt(22)\/sqrt(176) + -3 - (sqrt(8)\/(sqrt(4)*-1) - (sqrt(242) + 0)))**2.\nAnswer: -147*sqrt(2)\/2 + 2433\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 1463149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = -2*s. Let k be n(-1). Suppose 4*p = -6 + 26. Suppose -2*f - 1154 - 578 = -4*z, -p*z + k*f + 2163 = 0. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 5, -2, -5 in increasing order.\nAnswer: -5, -4, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -120.604177 rounded to 2 decimal places?\nAnswer: -120.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {m: 5, u: 8}. Give prob of picking 3 u and 1 m.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-774 + 2)*4\/(0 + 28). Let r = 110 + g. Put -1, -1\/5, r in increasing order.\nAnswer: -1, r, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 35 - (-31 + 12 + 20 + 3 + 3)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -12*k - 3*k + 6*k - 167*k**2 - 260*k**2 to the form q + p*k**2 + v*k and give p.\nAnswer: -427","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 5879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = -s - s**2 + s. Let z(a) = 2*a - 2. Let q(t) be the second derivative of 2*t**3\/3 - 5*t**2\/2 - t. Let i(h) = 2*q(h) - 5*z(h). Calculate c(i(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m = -4.6 - 0.4. Which is the biggest value? (a) -2 (b) 2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3860099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.3 * 4.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 30414080 divided by -2.\nAnswer: -15207040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d - 12 = -0*d. Suppose 440000 = s + d*s. What is s rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -381 (base 9) in base 3?\nAnswer: -102201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -86 - 64 = 2*t. Let i be 100\/t*126\/2. Is (122\/(-4))\/(14\/i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 56847104 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.2, -3, -2\/21, -53, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -4 = 2*z, 243*z - 248*z = -4*s - 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -t**3 - 4*t**2 + 62*t + 235. Calculate p(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b = 6 - 5. Suppose 3*s - 15 = 0, -4*k - 2*s + b = -17. Suppose x - 5*d = 6*x - 25, -x + 5 = k*d. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 240 by -4.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1021 divided by -8463.\nAnswer: 1021\/8463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 70b (base 12) to base 11.\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 4, -3, -4928, 2 in increasing order.\nAnswer: -4928, -3, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 10366, 20731, 31096, 41461, 51826?\nAnswer: 62191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in one quarter of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9621419.\nAnswer: 2663, 3613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 24, 104, 230, 402, 620, 884?\n\"Answer: 23*f**2 + 11*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from eueueue. Give prob of picking 3 u.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 1 - 2*y)*(269*y - 139888 + 139888) + y**2 + 0*y**2 - 3*y**2.\nAnswer: -540*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = -6 - 9*m + m - 4*m - 12*m - 10*m. Let h(l) = -476*l - 85. Give 6*h(v) - 85*q(v).\nAnswer: 34*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 88 a factor of 1760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -0.3 take away 2170054727.2?\nAnswer: -2170054727.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = 2*v - 3. Suppose 0 = 4*g - 0*g + 8. Let p = g - -4. Suppose 2*m + 4*i - 12 = -2*m, 3*m - 14 = p*i. Calculate f(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = -96*s**2 + 2*s - 142. Let c(n) = 144*n**2 - 3*n + 213. Let w(g) = -5*c(g) - 8*q(g). Find the second derivative of w(x) wrt x.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 1465.038ml?\nAnswer: 1.465038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = -44*f + 83. Let o be t(3). Let k(c) = c + 18. What is the remainder when 14\/o + 1865\/35 is divided by k(0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -165 - -331. Let r = 168 - z. Which is the nearest to -15? (a) 2\/9 (b) 4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 38712768 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -73869*k - 15 - 73870*k - 73888*k + 221626*k.\nAnswer: -k - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 3.126 times -0.5?\nAnswer: -1.563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 1 - 5)*(-336 + 92 - 39)*(-f + 5*f - 2*f).\nAnswer: 1132*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = y**3 - 7*y**2 + 4*y + 14. Let r be t(6). Suppose -12*j + r - 2 = 0. Factor 1\/3 + j*h - 1\/3*h**2.\nAnswer: -(h - 1)*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -1279902 divided by -61\nAnswer: 20982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 + (-1 - -1) + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 33*o - 162 = 60*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -20231 and 69.5?\nAnswer: -1406054.5","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} {"text":"Question: Let y = 303073.3 - 160898.1. Let r = y + -142114.199969. Let o = 61 - r. Round o to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -25*z**2 - 13*z**2 - z**3 - 3*z**2 + 7*z**3 - 3*z**3 in the form x*z + d*z**3 + b + i*z**2 and give i.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o = -10.74 - -11. Round o to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -166463\/5*z**2 + 0 - 1\/5*z**4 - 817\/5*z**3 + 167281\/5*z.\nAnswer: -z*(z - 1)*(z + 409)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*((sqrt(17) + sqrt(17) + 2)*1 - sqrt(17)))**2.\nAnswer: 36*sqrt(17) + 189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 499229741 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1\/793 or 0?\nAnswer: -1\/793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -44197, -44195, -44193?\n\"Answer: 2*i - 44199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 410 minutes after 12:48 AM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q be 0 + 2 + 365\/(-160). Are q and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 0 - 10*u**3 - 1 + 11 + 2*u**3 wrt u.\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:50 PM and 10:54 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 1665.19 rounded to the nearest 10?\nAnswer: 1670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = 55*n + 2101. Calculate b(-38).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = 4*v**2 + 359*v - 25165. Give z(-136).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} {"text":"Question: Let t(m) = -m**2 + 9*m - 1. Suppose 0*i = 3*i - 24. What is the lowest common multiple of 7 and t(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 38730815?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 d when two letters picked without replacement from eaaezzdpdeeeaddeez?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = -q**3 + 174*q**2 - 6609*q + 170. What is v(118)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 56347 and 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-172)\/4 + 28\/(-20)*5 + -7 + 11?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 176, -4, -0.5, -2\/3, 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 145, 585, 1319, 2347?\n\"Answer: 147*f**2 - f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = 904*z**2 + 1. Let t be q(1). Suppose 4*o - 3*n = 1321, 3*o - 40*n = -41*n + 1007. Let j = t - o. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*x - 3, 0*d + 2*d - 4*x - 6 = 0. Suppose 0 = -6*y + d*y. What is the nearest to 1\/2 in y, 2, -1\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 4*s**4 + 4*s**3 - 1828*s**2 - 14404*s + 16224 = 0. Calculate s.\nAnswer: -13, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -1\/2, 0.024, 0.1, -3, -640, -1\/4, 0.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = u**3 + 59*u**2 + u + 111. Let k be t(-59). Let i(x) = -x**3 + 9*x**2 - 8*x - 8. Let n be i(6). Is n != k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = 2*v + 23. What is l(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o be 6\/(-4)*(-40)\/30. Suppose o*i - 21 = 69. Does 9 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0*o + o - 2*o)*(-2*o + 3*o - 2*o) + 197*o**2 + 323*o**2 - 144*o**2 to v*o + t*o**2 + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/33, -1, 18 in decreasing order.\nAnswer: 18, 2\/33, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g be -5 - (-3 - (-6)\/(-3)). Suppose g = -0*n - 12*n + 120. What is the closest to -2\/5 in 2\/3, n, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 1 + a)*(51*a**2 - 70*a**2 + 193*a**2 + (-3*a + a + 4*a)*(0 + 2*a + 0)).\nAnswer: 178*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 2, h: 2}. Give prob of sequence rr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) be the third derivative of -q**4\/6 + q**3\/6 - 3*q**2. Calculate j(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 1\/(-4) - (-380)\/(-80). List the prime factors of (192\/(-15))\/(1\/r).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = -w**2 + 11*w - 11. Let a be m(9). Let g(r) = 6*r - 6. Let l(x) = 5 + 5 - 4*x - 6. Calculate a*l(y) + 5*g(y).\nAnswer: 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 922, 1856, 2798, 3748, 4706, 5672?\n\"Answer: 4*d**2 + 922*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.063919 in 2\/23, 5, -1\/4?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = -15437*t. Let r(g) = 2*g + 31. Determine x(r(j)).\nAnswer: -30874*j - 478547","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand -7*g**5 + 0*g**5 - 2*g**5 + (3 + 2*g**3 - 3)*(-4*g**2 + 3*g**2 + 0*g**2) + g**5 - 3*g**5 + 0*g**5.\nAnswer: -13*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -10111010010 (base 2) in base 3?\nAnswer: -2001012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -13 + -27 + 1 + -1 + 16?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 551a8a + 0?\nAnswer: 551a8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 17*d = 15*x - 13*x + 103, 0 = -8*x - 2*x + d - 95 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -336*r + 62*r - 76*r + 10500 for r.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 82153 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-160)\/(-56)*((-21)\/(-70))\/((-39)\/455)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8541 is divided by 777?\nAnswer: 771","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 2163617904 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 d and 1 c when two letters picked without replacement from {c: 1, w: 3, d: 2, p: 4}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 0 at least as big as 2\/1661725?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide 224576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-114)\/1596*(-4)\/(4\/(-2)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -83*j + 442*j + 13 + 6 + 580*j.\nAnswer: 939*j + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose s = -0*s. Let m = 71 + -68. Suppose -5*t + 345 = 4*z, 2*t - m + 1 = s. 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 second smallest value in -1\/83, -260, 0.4, 2\/13?\nAnswer: -1\/83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = -2*q**2 + 6*q + 7. Let w(f) be the first derivative of -2*f**3\/3 + 5*f**2\/2 + 6*f + 8. Give -6*t(a) + 7*w(a).\nAnswer: -2*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -6848, -13622, -20394, -27164?\n\"Answer: d**2 - 6777*d - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 8 (base 9) to base 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -87478059, -174956118, -262434177, -349912236, -437390295, -524868354?\n\"Answer: -87478059*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(13) + 4*sqrt(637) + sqrt(13) + -2*sqrt(65)\/sqrt(5) + -3 + (sqrt(832) + -1 + sqrt(832))*6 + sqrt(832))**2.\nAnswer: -2376*sqrt(13) + 226593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = -9*j**2 - j - 1. Let b(u) = 19*u**2 - 8*u + 21. Let d(h) = b(h) + 2*v(h). Calculate d(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3365*r + 807614 = -1189*r + 5443*r for r.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 240002 (base 14) to base 5.\nAnswer: 303314224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = 28*z - 6*z - 985. What is the remainder when 88 is divided by z?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = -4*z + 2. Let m be v(0). Suppose -m*l = -3*f + 41, -2*f + 7 = 9. Let n(k) = -4*k - 20. List the prime factors of n(l).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 276081232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1 + 6 - 5*r - 5 - 1009*r**4 + 1005*r**4 + 5*r**3 to the form x*r**2 + d + s*r**3 + a*r + v*r**4 and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 26119700?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from uxddadaaudddg. What is prob of picking 1 x, 1 u, and 2 d?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p - 4*r = r + 36410, -p - r + 7286 = 0. Is 1\/((-50984)\/p + 7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -0.2 and 310901176.\nAnswer: 310901175.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n - 63 = -3*a, -5*a + 3*n = 2*n - 105. What is the common denominator of -113\/6 and ((-57)\/a)\/(2*-1)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-43840)\/(-356200))\/(4\/130)*(6\/1)\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 1164 divided by 291\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = -2*x**2 - 55*x - 371. Determine f(-14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 16137, 32609, 49081?\n\"Answer: 16472*z - 335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.1 + 2.1. Let t = j - 1.7. Let f = -2.09 + 0.09. Which is the nearest to 0.1? (a) 3 (b) t (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -9 + 8.95. Let d = 0.95 - q. Let f = -53.96 + 54. Sort f, d, -0.4 in decreasing order.\nAnswer: d, f, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) be the first derivative of -6037*r**6\/3 + 7663*r**2\/2 - 7064. Find the second derivative of a(t) wrt t.\nAnswer: -241480*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1069070342 to the power of 1\/2, to the nearest integer?\nAnswer: 32697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = k**2 - 2*k. Let s(g) be the third derivative of 107*g**5\/30 - 122*g**2 + 3*g + 9. Determine s(q(z)).\nAnswer: 214*z**4 - 856*z**3 + 856*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 376 = 22*p + 25*p. What is the smallest common multiple of (-71 - -2)\/((-6)\/8) and p?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 79757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = 4*c - 1. Suppose 59 = 8*t - 13. Let f(z) = -4 + 4 + t*z - 2. Let n(l) = 6*f(l) - 13*w(l). Determine n(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 127755.\nAnswer: 3, 5, 17, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*((-2*(sqrt(432) + sqrt(432) + -4 + 4 + -3 + sqrt(432) + 3))**2 + -5).\nAnswer: -46641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 46507, 93050, 139595, 186142, 232691, 279242, 325795?\nAnswer: 372350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -8, -3, 0, 1, 0, -3, -8?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round 13881.82604 to the nearest 10.\nAnswer: 13880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = -a**3 + 2*a**2 + 3*a - 1. Let i be n(6). Suppose -1778 = -2016*d + 2030*d. Let s = d - i. Solve s = -x - 3 - 1 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-4)\/(-9)*26\/(468\/81). Solve p*r - 3*d = -9, -3*r + 16*d - 5 = 20*d for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -15*c**4 - 16*c**3*y + 764*y wrt c.\nAnswer: -60*c**3 - 48*c**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 642211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = 10*u + 1. Let g(l) = 9*l + 8. Let v be g(-1). Calculate m(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 122431277 divided by -3397.\nAnswer: -36041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q be -1*2*(-1 - 0). Suppose 7*m - 2*l - 2 = 4*m, -m - q = 2*l. Suppose 5*z - 3*n - 835 = 0, 5*n = 4*z - m*z - 668. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = -3825*b + 15347. What is f(4)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3661317 - 5788.77.\nAnswer: -3667105.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = y**3 + y**2 + y. Let n(h) = h - 5. Let f be n(4). Let s(t) = -4*t**3 - 3*t + 2. Let m(r) = f*s(r) - 3*p(r). Give m(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -g + 5, 66*k - 515 = 63*k + 2*g. What is the remainder when k is divided by 19 + 0 + -6 - 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3809 + 13782 + 5902 + 4797 = -323*s for s.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round -34459.4227 to the nearest 1000.\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert 598.4834m to centimeters.\nAnswer: 59848.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9857 is divided by 23?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -786.4*0.0204\nAnswer: -16.04256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -96*j + 211 + 77 = 0. Solve 4*c - 4*z - 5 = j, 5*c + 2*z = 31 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -35420 divided by 2.\nAnswer: -17710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 20703 - -5?\nAnswer: 20708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = l**2 - l - 11. Let o be d(0). Let a(i) = 2*i**2 - 15*i - 4. Let h be a(o). Suppose 4*r + 51 = h. Is 35 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 20\/1637 + 2894\/31103. Let b = 2 - -12. Let g = 1 - 5. What is the second smallest value in b, v, g?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1686498, -1686497, -1686494, -1686489, -1686482, -1686473, -1686462?\nAnswer: -1686449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = o**3 + 13*o**2 - o - 10. Let f be t(-13). Find the second derivative of 0*j**3 + 5*j + 7*j**3 - f*j**3 wrt j.\nAnswer: 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 125*g - 35766 + 35766.\nAnswer: 125*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2394301 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z - 2 = 13. Let v(r) = r**2 - 5*r + 2. Suppose -13 - 19 = -16*n. Let t be v(n). Sort z, 3, t in increasing order.\nAnswer: z, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m - 55 = -5*j, 5*j + 3*m = 3*j + 27. Suppose -j*x + 13 = -5. Suppose -5*o = -5*n + 2060, -x*n + 375 = 4*o + 2037. What is o rounded to the nearest 10?\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 72 - -0.16?\nAnswer: 72.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-2)\/3*(-6)\/(-4). Let x be (44\/(-33))\/(t\/9). Suppose -5*f - s = -x, f + s = 2 + 2. Solve -f*q = -0*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = -3*h. Let w = -2 + -19. Let m(r) = -4*r - 85. Let q be m(w). Let b(o) = -o - 1. Let t(s) = 4*s + 4. Let x(l) = 5*b(l) + t(l). Give q*g(u) + x(u).\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Determine j so that -j**3 + 2*j**2 - j = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round 0.326152941 to four decimal places.\nAnswer: 0.3262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 231 a factor of 156296448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Does 81 divide 2486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000214267 to 6 decimal places.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 14708 smaller than 14697?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.657 - -1.057. Which is the closest to -4\/19? (a) -0.2 (b) j (c) 0.1 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 10 - -32. What is the greatest common divisor of 28 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 1\/7 (b) 399 (c) 3\/2 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*b**2 + 388*b - 388*b.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate (4\/(-6))\/(3\/(-18)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -9537*w**3 - w**2 - 2762*w - 1 wrt w.\nAnswer: -57222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1610 and 280?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -352561 + 35?\nAnswer: -352524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = -p**3 + 4*p**2 + 4*p. Suppose -23 = -3*z - w - 3*w, 10 = 4*z - 5*w. Determine a(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.114441 weeks to microseconds.\nAnswer: 69213916800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = 3.3 + 1.7. Which is the nearest to -0.2? (a) 1\/5 (b) -10 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 91 a factor of 35679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v be 5*(-3)\/(-5)*-2. Suppose -4*w + 52 = -4*d, 11 = 5*d + 21. Calculate the least common multiple of 8\/(-12) + (-70)\/v and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 2, m: 3}. What is prob of sequence mmm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express 67414*a + 2*a**2 - 33510*a - 33513*a as q + g*a**2 + c*a and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Does 18 divide 2664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 1147381843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -192*a**3 - 4177*a**2 + 28480*a + 8?\nAnswer: -1152*a - 8354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-4)\/(-39))\/(44\/(-66)). What is the second smallest value in l, 10\/7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -1512982*b + 2965680.\nAnswer: -1512982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -10, -1162, 454, -4 in decreasing order.\nAnswer: 454, -1, -4, -10, -1162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 13748100 rounded to the nearest one hundred thousand?\nAnswer: 13700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i + a = 16 + 1, -3*i - 5*a + 16 = 0. Let t be i + (-9 - 0)\/(-3). Solve 2\/5*u + 2\/5*u**2 - 2\/5*u**4 - 2\/5*u**3 + t = 0 for u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 1 - (-5 + 14\/7). Suppose -4*w + d*g - 12 = 0, 5*w + 6 = g - 5*g. Which is the nearest to 1? (a) -7 (b) w (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*q - 20*q + 215243 - 32323. Calculate the greatest common factor of 20 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = -h - 3. Let g(b) = 9*b + 33. Let l(d) = -44*c(d) - 4*g(d). Let m(o) = o. Calculate 4*l(f) - 40*m(f).\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round -177944.37 to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = -6*p - 72. Let i = -125 - -113. Let k be z(i). Solve k*y = y + 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) be the second derivative of 0*d**5 - 6*d - 7\/10*d**6 - 5\/12*d**4 + 0*d**3 + 0 + 0*d**2. Find the third derivative of y(g) wrt g.\nAnswer: -504*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 64563.83cm in nanometers?\nAnswer: 645638300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 a when two letters picked without replacement from vvvavvvvvavv?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert 60436.46um to centimeters.\nAnswer: 6.043646","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 8 + 2*a**2 + 11 - 19 - 2*a**3 + 3*a to the form u*a**2 + j + k*a + p*a**3 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 25 minutes after 7:42 AM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = -2*s. Let o(n) = -20*n + 7. Let c(i) = 8*k(i) - o(i). Suppose -5*j - 6 = -31. Give c(j).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 24 a factor of 1356096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 = -5*g + 5. Let v = 1 - -2. What is the second derivative of -g*d + v*d + 2*d**4 - 3*d**4 wrt d?\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*sqrt(63)\/(sqrt(9) - sqrt(144)) + sqrt(42)\/(sqrt(216)\/sqrt(4)))*4.\nAnswer: -8*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -9*g + 4*g + 65. Solve 33 = -4*u - d + 6*d, 4*u = d - g for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.013848662756 to 7 decimal places.\nAnswer: -0.0138487","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = -5 + 4 + 12*n - 2*n - 2. Let g(q) be the first derivative of 5*q**2\/2 - 2*q + 47. What is 5*g(a) - 3*p(a)?\nAnswer: -5*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 995166540 to the nearest integer?\nAnswer: 998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-7923)\/342 - -25 - 1\/(-6). Solve -s - 16*h - 21 = -12*h, -x*h = -s + 3 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -28331, -28321, -28311?\n\"Answer: 10*d - 28341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 1120691\/7 - 30\/35*(-5)\/15 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -211 - -209.595. Let r = u - -34.535. Let a = 33 - r. Round a to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -153299, -306588, -459873, -613154, -766431?\nAnswer: -919704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4 - (11\/33 - (-48)\/9)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = 32*u - 302. Let o be c(33). Is 757 <= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 80481741 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8751 + 8751 + 2*m + 18*m**2.\nAnswer: 18*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -2021121 - -1?\nAnswer: -2021120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let -24*a**2 + 0*a**3 + 4*a**4 - 12*a + 2*a**3 - 17*a**3 - 7*a**4 = 0. Calculate a.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*q**3 + 7*q**3 - 3*q**3)*(q - q - q) - 2*q + 2*q + q**4.\nAnswer: -3*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-2)\/(-5) - 66\/(-10). Let h = 67 + -66. Is r less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -8812 - -8819. Let j = 202 - 813\/4. Which is the smallest value? (a) i (b) j (c) -1 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g**(5\/8))**(1\/30)\/(g*(g**35\/g)\/g*g\/(g\/(g*g\/(g*g\/(g\/g**(-1\/34)))*g))))**30 assuming g is positive.\nAnswer: g**(-146915\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*w - 2*w - 4 = -d, 8 = w + 2*d. Solve -3*l + w - 12 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6219 is divided by 1029?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) be the first derivative of 6*u**2 - 22. Let q(l) be the first derivative of -2*l**3\/3 + 2. Determine q(t(j)).\nAnswer: -288*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -3, 7.58, -5?\nAnswer: 7.58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f = -6 + 11. Suppose q = t + 1, 1 = -5*t + 2*q + f. Suppose -t*m + 3*r = -6 - 43, 5*r = -5*m + 160. Is m a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (0 + -54)\/((-4)\/26 - (-4648)\/2158).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -43\/57 - -8\/19. What is the closest to 1\/2 in -52, u, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -134581 divided by -134581.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 7 (b) -5 (c) -143\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2\/(-3))\/((-161)\/21).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.002615 - -5415.402615. What is m rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -3\/2, 7\/118, 4?\nAnswer: 7\/118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-i + 0*i + 2*i)*(-3 - 3 + 4 - 2 - 2 + 3 + (2 + 2 - 3)*(3 - 5 + 1))*(-17*i + 6*i - 22*i) to the form v*i**2 + n + g*i and give v.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = 2*h - 6. Let g = 22 + -7. Let z = -8 + g. What are the prime factors of q(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -0.16 (b) 0.929 (c) -8\/5 (d) 227\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i = 63 + -188. Let j = i - -126. What is the second smallest value in j, 0.1, 17?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -15*x**3 - 129*x**2 - 3823*x + 2928086?\nAnswer: -45*x**2 - 258*x - 3823","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 511?\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1.97 - -0.03. Let x = -5.39 + 0.39. Let r = x + g. Which is the closest to -1? (a) 2\/9 (b) 1\/6 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*t = 2119*k - 2117*k + 10, 5*t - 29 = 4*k for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = i**3 + 6*i**2. Let s be x(-6). Let u = -17.7 - -17.9. Sort -1\/3, u, s in decreasing order.\nAnswer: u, s, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = 24*l. Let t(f) = 21*f. Let c(y) = y. Let s(a) = 14*c(a) + t(a). Let z(u) = 7*i(u) - 5*s(u). Let q(g) = -20*g. Calculate q(z(h)).\nAnswer: 140*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*j = -j + 70 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.02 - 1.111407.\nAnswer: -1.131407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 158270 and 530670.\nAnswer: 9021390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = -g + 4. Let k be r(0). Suppose k*v + 0*v = 96. Suppose -3*y = -v - 33. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 16175.87 rounded to the nearest 1000?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) be the second derivative of -u**5\/20 - u**4\/2 + u**3 - 4*u**2 + 7*u. Determine d(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 925.9757 hours in seconds?\nAnswer: 3333512.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*m - 5 = -0*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of 1783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1675195002 divided by 88168158.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-5)\/10)\/((-1)\/22). Let n(t) = -8*t**3 + 3*t**2 + 2*t. Let h be n(-1). Find the second derivative of h*z - 11 + j - 7*z**3 - 3*z wrt z.\nAnswer: -42*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = 4449*o + 13624. Give c(-3).\nAnswer: 277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert 10c8dea (base 15) to base 16.\nAnswer: b7896e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r be 99\/21 + (-2)\/(-7). Let c = r - 5. Does 2 divide (c + -1)*-3 + -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify t**(4\/17)*t\/(t*t**(-17))*t*((t**(-2\/13)\/t)\/t)**8 assuming t is positive.\nAnswer: t**(222\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(225) + -1*sqrt(225))\/((sqrt(33)*2 + sqrt(33))\/sqrt(11)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the seventh biggest value? (a) 2\/39 (b) -35 (c) 0.3 (d) 5 (e) 41 (f) 3 (g) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -21*b - 111 + 27 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gkk when three letters picked without replacement from {l: 2, g: 3, k: 3}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*h - 65 = -26. Let m(u) = u**3 - 5*u**2 + u. Suppose -j + 3*j + 2 = -3*d, 0 = 5*d + 20. Let z be m(j). Solve z*c + 12 + 1 = h*f, 4*c + 4 = 4*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 16481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-2)\/(-9) + 1184\/18. Suppose -4*v - 66 = -15*v. What is the greatest common factor of v and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -296, -423, -600, -821, -1080, -1371, -1688, -2025?\n\"Answer: y**3 - 31*y**2 - 41*y - 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = -21 + 3. Let x be -2 + (w\/4)\/(-3). Which is greater: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) be the third derivative of -j**4\/12 - j**2. Let n(f) = -3*f. Let q be n(1). Determine m(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 104401 - 10?\nAnswer: 104341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -177*m**3 + 7*m**2 + 44*m - 16?\nAnswer: -1062*m + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((2 + -1)*-1)\/(25\/175). Let n be (-38)\/(-14) - 2\/u. Suppose 4*c - 125 = -2*x + 333, -4*c + 457 = n*x. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -23\/1000 and -117\/1225000.\nAnswer: 1225000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 12, e: 3}. What is prob of sequence ed?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = i**3 + 21*i**2 - 174*i + 564. Give r(-28).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19*n = 23*n - 376. Is 14 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + (sqrt(18)\/(sqrt(6) + sqrt(540)\/sqrt(10)) - (-5 + sqrt(48) + sqrt(3) + sqrt(3) - (sqrt(18) - (sqrt(18) + sqrt(288)))\/sqrt(6)))**2.\nAnswer: -195*sqrt(3)\/2 + 4931\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence lo when two letters picked without replacement from {o: 1, l: 2, t: 1, n: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 7564 and 5332.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is (-16)\/(-10)*7\/21*-15?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*m + 7*m - 7 = 0. Let t be (m + -7)\/(((-126)\/12)\/(-7)). Let f be (9\/(-12))\/(3\/t). Is f bigger than 5\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 673.3887 to the nearest integer.\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) be the first derivative of 3*b**2\/2 - 5*b + 1. Let n(u) be the second derivative of u**3\/2 - 4*u**2 - 4*u. Let p be n(4). Calculate a(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 1 + 2*r)*(5*r**2 - 3*r**2 + 3*r**2)*(r**2 + 0*r**2 - 2*r**2).\nAnswer: -10*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/5, -19, 1\/6, 2\/9 in descending order.\nAnswer: 2\/9, 1\/5, 1\/6, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -0.03 (b) -0.1 (c) -26\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2 - 326*m**2 + 661*m**2 - 336*m**2 + 275*m + 0 to the form t + o*m + c*m**2 and give o.\nAnswer: 275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 2 - 3 - (11 + 2)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = -n**2 + 32*n - 83. Let p be r(3). Suppose 0 = 5*w - 2*o - 3*o - 925, 0 = -p*w - 3*o + 740. Is 7 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.3 times 0.057?\nAnswer: 0.0171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p = 5 - 1. Let x be (-1)\/p - (-18)\/8. Suppose 0*y + 10 = x*y. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q - 3*w = 29833, -533*w = -535*w - 10. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(5\/6)\/q**(-4\/7))\/(q\/(q*q**(-7))*q**(-3\/7))*(q\/(q*q**(1\/4)*q))\/q**(-6\/7)*q**8\/(q\/q**(-8)) assuming q is positive.\nAnswer: q**(-551\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -505 = -5*o - a, o - 3*a = 2*o - 101. Let h = 26 - 23. Suppose -h*c + 31 = -47. Calculate the remainder when o is divided by c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -725*i**2 + 369*i**2 + 363*i**2.\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: (6\/(-2))\/(14\/42)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 624 = -370*v + 431 - 547 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 3 + 1)*(0*w + 20*w - 10*w)*(9*w - w - 3*w + 2*w - 3*w + 3*w + (0 + 4 - 2)*(-2*w - 2 + 2) + 0*w + 0*w - w).\nAnswer: -20*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -1082*k = -1077*k - 40 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 139947881 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-6)\/10*25\/(-30)*-4. Let g(i) = i**3 - 7*i**2 + 8*i - 5. Let u be g(6). What is the biggest value in 0.5, n, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -2 - -911. Calculate the lowest common multiple of 707 and x.\nAnswer: 6363","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 239 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = -k. Suppose 3*a - 5*i = 7, 5*i - 15 = -3*a + 2. Let c(d) = 5*d - 4. Let j(x) = a*t(x) + c(x). What is the units digit of j(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (5 + -4)\/(0 + 4). Is 2 at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t + 0*s + 6 = 2*s, 0 = t + 3*s + 1. Suppose -15 = -t*h - 5. Let l(w) = -4*w + 1. Let v be l(-6). Solve -h*c + 5 = v for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -50 - 15?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q = -20 - -25. Let d = q + -3. What is the nearest to d in -2\/13, -0.5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 6552*l + 5406 wrt l?\nAnswer: 6552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 3 (b) 0.01 (c) 0.2 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -15836, -31565, -47294, -63023?\n\"Answer: -15729*f - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1394 and 246.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = 6*v**2 - 24*v - 21. Let g(a) = -a - 1. Let b(l) = 63*g(l) - 3*t(l). Find the second derivative of b(f) wrt f.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -5? (a) 2 (b) 29 (c) -0.23 (d) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put -13, -4, 2, 211, -19, 1 in descending order.\nAnswer: 211, 2, 1, -4, -13, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u - 9 = 5*v, -2*u - 6*v + 5*v + 3 = 0. Suppose 0 = u*x - 5*f - 19, 3*f - f = 4*x - 10. What is the smallest common multiple of 19 and x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose k = 3*g - 115, -5*g + 75 = -3*g - k. What is the lowest common multiple of g and 180?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.111 + 6299.09\nAnswer: 6298.979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -136*o**6 - 43*o**5 - 1712*o**2 + 479*o**2 + 41*o**5 wrt o?\nAnswer: -16320*o**3 - 120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2, 3, 10, 25, 54, 103, 178?\nAnswer: 285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i + 10 = i + v, 0 = -2*v + 4. Let h = 3553 + -3557. Which is the third smallest value? (a) -2\/9 (b) i (c) h (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 688, -0.07 in descending order.\nAnswer: 688, 2, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*p - p + 46 = 0. Does 14 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 143.9317ng to kilograms.\nAnswer: 0.0000000001439317","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-33)\/77)\/((-1)\/7). Let j(v) = 2*v**2 - 4*v + 6. Let n be j(i). Solve 5*k = -3*r + 6, 5*k = -5*r + 4*r + n for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 9, 14, 17, 18, 17, 14, 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h = -18 + 22. Suppose 60 = 4*g + h*v, -5*v + 2*v + 5 = g. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 17 divide 803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Work out -5 * 1011.\nAnswer: -5055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*o - 4*o - 21 = 5*h, -4*o + 2*h + 14 = 0. Suppose -181 = 4*q + 171. Let y be 2\/(-5) + q\/(-20). What is the smallest value in -0.4, y, o?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*x + 4*j = 16, -2*x - 5*j + 90 = 105 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) be the first derivative of -n**6\/1800 + n**5\/60 - 5*n**4\/24 + 15*n**3 + 44. Let a(b) be the third derivative of v(b). Find x such that a(x) = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 s and 1 f when two letters picked without replacement from {s: 5, p: 2, f: 13}.\nAnswer: 13\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2838, -22610, -76244, -180672, -352826, -609638, -968040, -1444964?\nAnswer: -2057342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = -g**3 - 14*g**2 - 14*g + 16. Determine k(-13).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -171*k - 104*k + 268*k - 184*k.\nAnswer: -191*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = -10*q + 79. Let m(p) = -21*p + 159. Let h(y) = -2*m(y) + 5*w(y). Let s be h(10). What is the biggest value in s, 1\/2, 3\/8, -3\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6367 is divided by 1528.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = c + 5. Let j be k(0). Let o(m) = -j - 2*m**3 + m**2 - m + m**3 + 17. What is the tens digit of o(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 30*s + s**2 - 16*s + 0*s**2 + (-3*s + 0*s - 3*s)*(-8 + 8 - 2*s) - 5*s - s**2 + 5*s in the form h + z*s + o*s**2 and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = -u**3 - u**2 + 5*u + 7. Let t be r(-4). Suppose -l = -2*y + 19, 4*l - 13 + t = 2*y. Calculate the remainder when 41 is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence sns when three letters picked without replacement from nnsnnsnnsns?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v + 330 = 5*n, 4*n - 8*n = 3*v - 267. What is the remainder when n is divided by 25?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1354 + 1354 - 5*c.\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 9 - 7 - -11 - -7\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -180 = -2*k - 4*y, 0*y = 4*k + y - 353. Suppose -6 = 2*f, 2*f - 12 = -4*t + 78. Suppose -5*h = -2*h - t. What is the highest common divisor of h and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*y - 8 = -5*k, -4*y + 4*k - 3*k - 16 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 95012?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p be 80\/36 - (-2)\/(-9). Let k(o) = -13*o + o - 17*o + 17 - o**p + 4*o**2. Let h(m) = m**2 - 10*m + 6. Let v(y) = -8*h(y) + 3*k(y). Determine v(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**(3\/4))**(-2\/143)*j\/((j*j**(-14)\/j*j)\/j)*j**4 assuming j is positive.\nAnswer: j**(5431\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u = -4099 - -11252. What is the thousands digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18 = -5*v + 17. Suppose 45 = x + 5*p - v, 22 = x - p. What is the highest common factor of 9 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-25 + 25 + 21*k**2)*(3 + k - 3)*(0 + k + 0).\nAnswer: 21*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 182 and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 406 minutes before 6:20 AM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -10115552 divided by 5057776?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 3556*r + 2950*r + 3639*r - 162320 = 0 for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q = -5670 + 5682. Let a(v) = -5*v**2 - 3*v**2 - 2*v**3 + 2*v**2 - 3*v + 1 + 1. What is the remainder when a(-4) is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8259 is divided by 219.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 11975 and 2925.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = 10*u**2 + 2*u + 6. Calculate the remainder when 125 is divided by q(-2).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f + 4*p - 10503 = 0, -4*p = -16*f + 15*f + 2091. Let s = f + -1244. What are the prime factors of s?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 59296\/(-85)*10\/(-4)?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 37705582 to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.21 - 11139.\nAnswer: -11139.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2048748\/3381 + (-6)\/(-147) is divided by 99?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -a = -2*u - 12, 4*a = -u + 3*u + 18 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 45680 divided by 5710?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 127495338.\nAnswer: 2, 3, 109, 383, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 373998 is divided by 935.\nAnswer: 933","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -304*i**4 - 4*i**3 + 1689 wrt i?\nAnswer: -1216*i**3 - 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 4c7ca (base 16) to base 11\nAnswer: 1a441a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = -26*w**2 - 3. Let g(a) be the third derivative of 39*a**5\/10 + 13*a**3\/3 + 1662*a**2. Determine 3*g(m) + 26*u(m).\nAnswer: 26*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0801 times 0.12?\nAnswer: 0.009612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 31464 divided by 4?\nAnswer: 7866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z = -451 + 450.9845. Let h = 0.01550402 + z. Round h to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in 1, -2320, -1, 4, 0.2, 2\/135?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 0.02839 + -0.4947\nAnswer: -0.46631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) be the third derivative of -3*x**6\/40 + 7*x**5\/60 + 7*x**3\/6 - 4*x**2. Let h(z) = 5*z**3 - 5*z**2 - 5 + z**2 + 1. Give -7*h(l) - 4*s(l).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*i - 7452 = -852. Suppose o + 9*o = i. Suppose 0*m - 80 = -5*m. What is the remainder when o is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = -x**2. Let r(o) = -1. Let g(y) = 6*y - 24. Let m(f) = -g(f) - 2*r(f). Let u(j) = 2*j - 9. Let p(c) = -5*m(c) - 14*u(c). Give l(p(b)).\nAnswer: -4*b**2 + 16*b - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -4 + 32b?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) 0 (b) -1 (c) -4\/39 (d) -0.5 (e) -2.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*(sqrt(252) + sqrt(252)*-1)*-4)\/(sqrt(9) + 3*sqrt(9)*-3 + (sqrt(9) - (sqrt(9) + sqrt(9)*5*6))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h = 299\/2 + -149. Let 7\/2*s**2 - s + 0 - 9\/2*s**3 + 5\/2*s**4 - h*s**5 = 0. Calculate s.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) be the third derivative of 77*m**5\/30 + m**4\/24 - m**3\/6 + 11*m**2. Let l be y(1). What is l rounded to the nearest ten?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 17893180 to the nearest one hundred thousand.\nAnswer: 17900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -352*g**2 - 67*g**2 - 147*g**2.\nAnswer: -566*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) be the second derivative of u**7\/42 + u**2\/2 + 9*u. Let r(f) = -f**3 - 1. Suppose -5*m = -0*m - 5. Let w(s) = m*r(s) + b(s). Factor w(z).\nAnswer: z**3*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -7*z**2 + 240*z**3 + 2*z + 240*z**3 - 3*z**2 - 712*z**3 + 235*z**3 in the form r*z + c*z**2 + t + k*z**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -8489*d**3*f*p + 2*d**3*p**2 + 126*d**2*p**3 - 4*f*p**3 + f*p + 3*p**2 wrt f.\nAnswer: -8489*d**3*p - 4*p**3 + p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*s - 15 = 6*s. What is the third derivative of -w**5 - s*w**5 + w**2 + 3*w**2 + 7*w**5 wrt w?\nAnswer: 180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 266.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*k + 5*z - 11 = 4*z, -4*k + z = -21 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = 1. Let v(x) = -x + 6. Suppose 7 = -6*w + 13. Let s(o) = w*v(o) - 2*n(o). Let c = -45 + 45. Determine s(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:23 AM and 3:15 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 2376298 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -10 - 1020?\nAnswer: -1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = k**2 - 19*k + 57. Let h be a(9). Find the common denominator of (-18)\/27*117\/h and -33\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-8 + (-1096)\/(-128))\/((-3)\/(-2)). Let l(x) be the first derivative of 9 + 3\/16*x**4 - 3\/10*x**5 + 1\/2*x**3 + 0*x - o*x**2. Solve l(w) = 0.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g - 3*o = -0 + 4, 4*o + 16 = -4*g. Let r = 0.056 - 5.056. Which is smaller: r or g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 4, b: 6}. What is prob of sequence xb?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0 + 29. Let q(f) = -h + 54 - 26 - f. Let t(n) = -5*n - 6. Calculate 6*q(i) - t(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 115110 is divided by 377.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.123 (b) 0.5 (c) -0.09 (d) 17 (e) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3\/39251 or 2\/5?\nAnswer: -3\/39251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put 11, -3, 2, 3 in descending order.\nAnswer: 11, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 216832 and 175504.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.05, -73, -1511.\nAnswer: -1511, -73, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b = -3*m + 1055, -4*m + 35 = -2*b + 457. Let n = b + -116. Suppose -3*j + 8*j - n = 0. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4 = -3*u + 4*z, 5*u + 5*z = 9*u - 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 16370.\nAnswer: 2, 5, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11*x + 8*x + 6*x - 37 - 12*x + 7*x.\nAnswer: -2*x - 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2975993?\nAnswer: 23, 47, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 9*w + 38*b - 39*b + 35, -3*b - 19 = 4*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1267949?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.11 - 0.01. Let i = -17.2 + 20. Let u = i - 0.8. Is x bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6\/28*(-105)\/(-180).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 19737803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u = -167 - -172. Suppose 0*v - 6 = v + 3*s, 0 = -u*v - s - 2. Solve -3*t = -b + 3 - 7, -3*b - t + 18 = v for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 334.649383 to the nearest integer.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 677 minutes after 11:59 AM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w = 32 - 120. Let k = w - -94. Solve -r + 2 = 2*r - 5*t, 0 = -r - 5*t - k for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 301\/29 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -3233*z**3 + 2*z**2 + 4*z + 32 wrt z?\nAnswer: -19398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*(-5 + sqrt(200)*-2 - (sqrt(200)*-1 + -4)))**2 + 2.\nAnswer: 500*sqrt(2) + 5027","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m be 4915013 - (35 + -9 - 13). What is m rounded to the nearest 100000?\nAnswer: 4900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*q - 6*q + 200 = 0. Let p = q - -69. Suppose -5*o + p = -11. Solve c + 5*y - o - 10 = 0, 2*c + 16 = 3*y for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = 57*g**3 + 3*g**2 - 7*g + 7. Calculate v(2).\nAnswer: 461","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 259043 is divided by 57.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = -4*b. Let w(a) be the first derivative of -34*a**3\/3 - 62. Determine w(y(m)).\nAnswer: -544*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express -14702*o**3 + 1 - 14664*o**3 + 29301*o**3 + 19*o**2 as p*o + q*o**2 + k*o**3 + c and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(3\/5))**(-27)\/(x*x\/(x*x\/(x\/x**5)*x))**(1\/10) assuming x is positive.\nAnswer: x**(-157\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 - 3 - (-5 + (5 - 3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.449469 centuries in millennia?\nAnswer: 0.0449469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p + 10 = 44*x - 48*x, 5*p = x + 8. What is the fourth biggest value in 0.4, 2\/13, p, 0.27?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 61 divide 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 10141?\nAnswer: 10141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = -10 + 29 - h - 15 - 5. Let s be (-1 + 2)\/(4 + (-18)\/6). Determine t(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 i and 1 m when two letters picked without replacement from {c: 1, k: 3, m: 1, i: 4, y: 8}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 47704484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 253251 and 540?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y = 30.5 - 31. What is the closest to 1\/6 in 1\/3, 4\/7, y?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 875 - 2*o**2 - 875 + 38*o.\nAnswer: -2*o**2 + 38*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round -2407.04 to the nearest 100.\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 1814*i*w - 267886478*i + 14259*w wrt w.\nAnswer: 1814*i + 14259","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 1359003*p*y**2 - 7*p*y + 122948*y wrt y.\nAnswer: 2718006*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (t + 3*t - 2*t)*(5541 - 14224 + 14862 + 6300).\nAnswer: 24958*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 5, e: 8, f: 2}. What is prob of picking 2 f?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j + 1506 = 2*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f - 40 = -0*f. Let x be 3 + -1 + f\/2. Let v = x - -5. Calculate the remainder when 23 is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -3\/2 in 6, -0.3, 4\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -185a + -4?\nAnswer: -1860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1352052 divided by -12519.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*x - 202 - 212 = -40*c + 586, 0 = 4*c + 2*x - 100 for c.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 126334 and 1582?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -21 + 3 + 18 + 8*a**2.\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -44*b + 26499 = 77*b. What is the remainder when b is divided by 67?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -9155 and 0.5.\nAnswer: -4577.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = 64*k - 13. Let a(u) = -21*u + 5. Let t(g) = -8*a(g) - 3*o(g). Let z(m) = 6*m. Determine t(z(v)).\nAnswer: -144*v - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is (15 - 10 - (0 + -3)) + -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.5? (a) -1\/6 (b) -7 (c) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-12)\/(-18))\/(2\/(-3)). Let s be 3 - (a + (-2 - -2)). Let t = s + 2. What is the highest common divisor of 48 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q = k + 257035, -k - 102814 = -202*q + 200*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = -k**3 + 3*k**2 + 4*k - 2. Let b be 1 + 3 + (-1 - 0). What is the units digit of s(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = -o + 3 + 1 + 13. Let q = -156 + 162. Calculate the lowest common multiple of 13 and w(q).\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((306\/(-595))\/18)\/(5\/((-10)\/(-1))).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s = -5*x + 15, -3*x + 14 = -5*s + 5. Solve -g + 0*g - 7 = 2*v, -x*g - 12 = 3*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*h**2 + 28995*h - 1106142.\nAnswer: 3*(h - 38)*(h + 9703)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c = -12 + 16. Suppose g + 12 = c*g. Suppose g*a - 3*a = 8. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.6714 in -2\/11, 6, -4\/3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 329 to the power of 1\/6, 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 jjzjyzg. What is prob of sequence jz?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express -242*k**2 + 233*k**2 + 877*k**2 in the form o*k + p + j*k**2 and give j.\nAnswer: 868","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 348124 = 5*l - 50971. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = 5*x**2 + 84*x + 130. Let b(n) = -n**2 - 14*n - 22. Let j(r) = -5*r**2 - 1. Let v be j(1). Let o(k) = v*d(k) - 34*b(k). Find f such that o(f) = 0.\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 9 + -10 - (1 + (-8 - -4))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = 48*l**3 - 33*l**2 + 177*l - 33. Let m(f) = -3*f**3 + 2*f**2 - 11*f + 2. Let a(j) = 2*d(j) + 33*m(j). What is the second derivative of a(p) wrt p?\nAnswer: -18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1780 + -1793. Which is the closest to 5? (a) 0 (b) u (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 5670 and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rrc when three letters picked without replacement from {w: 1, c: 4, b: 2, r: 10}.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -4 times 74537\nAnswer: -298148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (480\/7776)\/(20\/(-24)).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 230930 smaller than 230932?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = -2*n**3 - 4*n**2 - 3*n. Let d be o(-3). Let l be (-12)\/(-135) - 6\/d. What is the third biggest value in 0.3, l, 0.17?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -5 - 28714.\nAnswer: -28719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is -1771108 greater than or equal to -1771113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -220*x + 70*x + 0*x - 294*x.\nAnswer: -444*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 0\/(9\/((-27)\/6))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6\/(-36)*(-1704)\/8236.\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 2*12 + 0\/(-2). Let u(g) = 80*g + 406. Let r be u(-5). Calculate the highest common factor of t and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 282 and 6956?\nAnswer: 20868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o - o = -12840000. Suppose 2*q = 4*i + o, 6000839 - 1720839 = -4*i - 4*q. Round i to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -58.013639446948 + 0.013638832948. Let w = 58 + t. What is w rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 109\/43240 and -53\/21620?\nAnswer: 43240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put 6, -4, -57 in decreasing order.\nAnswer: 6, -4, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -23 or 6?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in b - 3*b**3 + 14 + 7 - 11*b.\nAnswer: -3*b**3 - 10*b + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -504, -1005, -1506, -2007, -2508, -3009?\n\"Answer: -501*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2*sqrt(11))**2 + 1 - (sqrt(11) + (-1*sqrt(539) - sqrt(539)))) + (-1 + sqrt(275) + 3)**2.\nAnswer: 33*sqrt(11) + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = -r**3 + 15*r**2 + 32*r + 37. Let t be y(17). Suppose v - 9*m = -6*m + 40, -3*v + t*m + 120 = 0. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*x**4 + 40*x**3 - 192*x**2 - 160*x + 800 = 0 for x.\nAnswer: -2, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b - 234 = -4*b. Calculate the remainder when b is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((p*p**(-4\/7)*p)\/p)\/p)**47\/(p\/p**(-1\/20)*p**(2\/11)*p) assuming p is positive.\nAnswer: p**(-44797\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 6212 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p + 5*c - 72 = 4*c, -21 = -p + 2*c. Let n = 608343 + -608295. Calculate the lowest common multiple of p and n.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = -4*v. Let s be n(-6). Suppose 2*g + 10 = s. Suppose g*p - 5*p = 68. Is p a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 2*(-26)\/546 + (-60)\/(-189)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*y - 2*y - 4*y)*(-y + 2 - 2) + 3*y**2 - y**2 + 0*y**2 + 1 - 2*y**2 - 1 + y**2 - 3*y**2 + 0*y**2 + 0*y + 0*y - 2*y - 3*y**2.\nAnswer: -4*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round -0.527511 to 3 decimal places.\nAnswer: -0.528","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.09 - 5.09. Let p(x) = x**3 + 3*x**2 - 5*x + 1. Let i be p(-4). Suppose 45 = i*n - 5*y, y = 5*n - 3*n - 13. Put q, n, -0.4 in ascending order.\nAnswer: q, -0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1221 + -1215. Let r = -22 - -47. Calculate the remainder when r is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d - 2*d + 28 = 0. What is the second derivative of 24*g - 28*g + 7*g**4 - d*g**4 - 3*g**5 wrt g?\nAnswer: -60*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -16*t - 130 = -50 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) 2970 (b) 6 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = -2*m**2. Let j(f) = 27082141*f. What is j(h(g))?\nAnswer: -54164282*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/9, -0.2, -126, 0.2, -4 in increasing order.\nAnswer: -126, -4, -0.2, -1\/9, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m be (2\/(-22))\/((-2)\/4). Let d = 22 + -18.9. Let x = -3 + d. Which is the nearest to -0.1? (a) x (b) m (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1.04 + 0.04. Suppose 0 = m - 2*r - 1, 3*m + 4*r + 2 - 5 = 0. What is the second biggest value in -0.1, m, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1866407 is divided by 10851?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.23 + -0.68. Let l = 0.05 - z. Sort l, 1, -3.\nAnswer: -3, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 439 minutes after 6:25 AM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*d + 3*d = 5*h - 81268, 3*d - 81256 = h. What are the prime factors of d?\nAnswer: 2, 29, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s = -6 - 6. Let q be (-1)\/(4\/(-8)) - 1. Suppose -s*d + 2*r + 8 = 0, d = -2*r - r - q. Solve 0 = g + 6 - d for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) be the second derivative of -755*l**7\/14 + 317*l**4\/3 - l**2\/2 + 7*l - 6. What is the third derivative of f(r) wrt r?\nAnswer: -135900*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) be the first derivative of -9*s**2\/2 - 9*s - 9. Let d(b) = 14*b + 14. What is -5*d(y) - 8*g(y)?\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = w**2 - 11*w - 8. Let v(i) = -10*i - 8. Let l = 23 - 21. Let u(k) = l*r(k) - 3*v(k). Factor u(t).\nAnswer: 2*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -886757 times -4?\nAnswer: 3547028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-10 - -29 - -1) + 15 - 16.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = -103*w + 1. Let p be u(-1). Let l = 178 - p. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 126390 and 1023?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 39 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -6 + 58?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1.1? (a) 237.3 (b) -62 (c) -2 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express 2*j**3 + 3*j**3 - 7*j**3 - 1 + j**3 - j in the form u + n*j**3 + m*j**2 + f*j and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 70 (b) 0.17 (c) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = -21295*v - 4195151. What is q(-197)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) be the first derivative of 2*m**3\/3 + 8*m**2 + 32*m + 10. Determine d, given that v(d) = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.09 - 16.09. Let c = 14.8 + u. Let v = 1.5 + c. Which is smaller: 1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2651678060?\nAnswer: 2, 5, 132583903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hnn. Give prob of sequence hn.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((6\/(-2))\/(-12))\/((-1)\/(-6)*-4).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 6 and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 167224 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 298080191?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) be the first derivative of 4*w**3\/3 - 5*w**2\/2 + 6*w + 84. Let c be y(1). Round c to one decimal place.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 106929362 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put -2, -24, 100 in ascending order.\nAnswer: -24, -2, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1825 - -2925. Suppose -861 = -3*s + 3*g, -5*g + h = 5*s - 365. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = 52*n - 13. Let k(y) = 2*y**3 - y + 1. Let m be k(1). Suppose m*d - 4*d = -j + 14, -5*j + 46 = -2*d. Is p(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 21824 is divided by 1212.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o be (52\/(-3))\/(4\/(-6)). Suppose o + 2 = 4*y. Let p(u) = -y*u - u - 6*u + 1 + 7*u. Calculate p(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = -15*p - 6. Let v(a) = -119*a - 49. Calculate 49*i(g) - 6*v(g).\nAnswer: -21*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 564 <= 562?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate (8\/18)\/(((-880)\/(-1100))\/(12\/(-10))).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 2\/(-7) - 3137766\/42. Let l = 136709 + p. What is l rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 61 + -42. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x**(5\/7)*x*x**(-2\/45)*x)\/(x\/x**(-6\/19))**(-3\/19))**8 assuming x is positive.\nAnswer: x**(2617808\/113715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 3\/766 and -45\/152?\nAnswer: 58216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = t**3 - 8*t**2 + 8*t - 19. Calculate k(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = -5*j + 3*j - 3*j + 4*j. Let t(f) = 13*f**2 + 5*f + 5. Let k(m) = 273*m**2 + 104*m + 104. Let d(i) = -5*k(i) + 104*t(i). Give d(p(c)).\nAnswer: -13*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Work out -1068994 + -153406.\nAnswer: -1222400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k = -42748\/19 + 2250. What is the biggest value in -3\/8, k, 7, 4\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -2382175.34 and 8891?\nAnswer: 2391066.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9 + -8 - (0 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = l**3 - 21*l**2 + 20*l - 7. Let v be t(20). Let f(k) = -5*k**3 - 9*k**2 - 4*k + 17. Is f(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*l - 15*l - 20 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 299*l - 1900 = -298 + 192 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(2200) + -1*sqrt(2200) + sqrt(2200) + sqrt(2200))\/(sqrt(11) + sqrt(99)*5).\nAnswer: 5*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 4300305979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -0.025471912+0.086581\nAnswer: 0.061109088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 24374811?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = 3358*b - 30217. Let t be w(9). Suppose -k + 5*x - 7 = -24, -2*k = -x - 25. Suppose -a - 2*a = k. Put t, 4, a, -1 in descending order.\nAnswer: t, 4, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = -h + 2. Let x(o) = o**3 - 12*o**2 + 12*o - 12. Let k be x(11). Let w be 3\/(k + 5\/10). Determine b(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000007136 rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = y**2 + 16 - 2*y - 16. What is the units digit of w(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2680262837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.96074*0.12.\nAnswer: -0.1152888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*k - 1520 - 1522 - 1520 + 4566 - k.\nAnswer: k + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) be the first derivative of -2*b**3\/33 - 218*b**2\/11 - 23762*b\/11 - 175. Let n(q) = 0. Calculate q.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*q + z = -4*z + 5, 2*q - 5 = -5*z for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = c**3 + 6*c**2 + 5*c - 3. Let k be l(-4). Let w be 1\/(2\/(-14)*(-56)\/(-16)). Put 1, k, w in ascending order.\nAnswer: w, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1830847 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 5644 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 24638312 is divided by 3079789?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 202348?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f = -893\/5 + 178. Let x = -4772 + 24353\/5. Let a = x + -99. What is the nearest to a in -3, f, 0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 6 - 2. Let c = -106 - -188. Suppose -u = -2*r + 37, -4*r + 4 + c = 2*u. Calculate the lowest common multiple of r and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -331 = -12*m - 43. Suppose -8 = 8*f - m. Put 1.6, f, -0.5 in ascending order.\nAnswer: -0.5, 1.6, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hb when two letters picked without replacement from {c: 5, h: 1, x: 6, j: 2, b: 2}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = d**2. Let v(p) = -6*p + 18. Let q(o) = -7*o + 7. Let j(b) = -3*b + 3. Let c(l) = -5*j(l) + 2*q(l). Let r(i) = -18*c(i) - v(i). Calculate s(r(z)).\nAnswer: 144*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 37\/1094 and 46\/2707.\nAnswer: 2961458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c = 5*w - 28, -c - 2*w + 3*w - 6 = 0. Let h be (-76)\/66 - c\/(-11). Let m = 10 - 9. Is h <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s - 9 = 1. Let q = -2 + s. Suppose 0 = -3*p - b + 21, 0*p - b + 5 = p. Solve p = q*n - 4*k, -5*n - 2*k + 4 = -4*k for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 + -8 + 2 + (2 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.88 - -0.88176. What is z rounded to 4 dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -g**4 - 96*g**3 - 1359*g**2 + 48496*g - 47040 = 0.\nAnswer: -56, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gaau when four letters picked without replacement from uauuuaogugoouaa?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -0.6 times -100897\nAnswer: 60538.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u - 117 = 3*q - 0*q, q = -2*u + 121. Are u and 60 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -157294519 = 2*u - 2*y - 21314509, 0 = -3*u - 3*y - 203969985. What is u rounded to the nearest one million?\nAnswer: -68000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 940*q = 55*q + 9958 + 27420 - 3748 for q.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = 391 - 189 - 201. Let f(g) = -7*g + 3. Determine f(q) - 2*v(q).\nAnswer: -7*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-4)\/(-6) + 2\/(-3). Suppose x + 3*x + 3*h = 28, i = -2*x + h + 14. Is x a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 22 + -44. Which is the second biggest value? (a) -1\/4 (b) l (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = -12*k - 32*k + 46*k. Let h(x) = -x**2 - x. Determine h(u(b)).\nAnswer: -4*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 225767247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 5.041713 centuries in millennia?\nAnswer: 0.5041713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 24068 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is (-8)\/(-6)*(-24)\/16?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g - 16 + 18 = 0. Find the third derivative of -57*s**4 + 6*s - s**g - s + 0*s**2 wrt s.\nAnswer: -1368*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = -4*s**2 + 0*s - 9 + 5*s + 3*s**2 + 23. Let r be j(7). Suppose r*g - 4*g = 2*i + 4, 5*g + 4 = -2*i. Solve g = 5*a + 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -2, 1\/3, 1, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 96290 times -472\nAnswer: -45448880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p = 113 + 50. Find the first derivative of 1 - 78*w**3 + 14 + p*w**3 - 78*w**3 wrt w.\nAnswer: 21*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 2076154750?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 16511.\nAnswer: 11, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = 5*g**2 - 164*g + 829. Calculate q(23).\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00008732 rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Work out -1640637149338 - 0.1.\nAnswer: -1640637149338.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 2264 and 1219730.\nAnswer: 4878920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -857, -1710, -2563?\n\"Answer: -853*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**8)**(-26) assuming d is positive.\nAnswer: d**(-208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*n + 3*n + 5 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 17702031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-8)\/36)\/(12\/(-216)). Find the third derivative of -p**2 + 24*p**b + 2 + 108*p**2 + 126*p**5 - 4 - 124*p**5 wrt p.\nAnswer: 120*p**2 + 576*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1 - (20 - 100\/(-5)))\/(0 - 1).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: (-79 - -7)\/(368\/138)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*w - w - 14 = 0. Let s be 2\/(-8)*(-411212)\/w. Let u = s + 7340. Calculate the common denominator of u and -53\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0022272158 to five decimal places.\nAnswer: 0.00223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 50 = -w - 4*w. Let f = 2 + w. What is the units digit of 4\/f + (-260)\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -539 - -119. Let p = 857\/2 + k. Calculate the common denominator of p and -107\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in 3, -0.1, 2\/1529763, 0, -2\/13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = -3*s**2 - s + 1. Let r(b) = -7*b**2 - 3*b + 4. Let j(g) = r(g) - 4*u(g). Give j(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-4)\/6)\/(4\/(-960)). Suppose 3*q + r = -4*r + 238, -2*q = 3*r - g. List the prime factors of q.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qa when two letters picked without replacement from eyakyqx.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*f = -4*f + 30. What is the third derivative of -14*s**2 + 57*s**3 - 15*s**3 + 7*s**f + 58*s**2 wrt s?\nAnswer: 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 457635 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*-1*(-2 + sqrt(200))**2*2*1.\nAnswer: -80*sqrt(2) + 408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = -2*k**2 - 38*k + 19. Let o(w) = -4*w**2 - 76*w + 34. Let n(p) = -3*o(p) + 5*t(p). Give n(-19).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -1288, -2278, -3170, -3910, -4444?\n\"Answer: 9*d**3 - 5*d**2 - 1038*d - 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -0.018 times -7?\nAnswer: 0.126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 52092992687 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 62 = 3*z + p - 204, 4*z + 5*p = 340. Suppose -7*g = -14 - 0. Suppose -3*a = g*a - z. Calculate the smallest common multiple of 14 and a.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -56626.041 to the nearest one hundred.\nAnswer: -56600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 301871?\nAnswer: 83, 3637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-8)\/(-3) + (-2)\/(-6). Suppose 0 = 4*b - 3*v - 32, -3 = 3*b - 6*b - p*v. What is the highest common factor of 2 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 626115777?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 4560525 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 146537893 to the nearest integer?\nAnswer: 12105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j = 26 - 14. What is the greatest common divisor of 84 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 333168 and 36981648?\nAnswer: 36981648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s + 23 = -3*j, 0 = 2*j - 4*s + 5*s + 6. Let y = j - -19. Calculate the smallest common multiple of y and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2269?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = h**2 + 62*h + 525. Let u be f(-52). Let w(b) = b**2 - 3*b - 7. What is w(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -10, -8, -6?\n\"Answer: 2*r - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 2.151901 years to decades.\nAnswer: 0.2151901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = -54 - 34. Let t be 6\/9*(-12)\/l. What is the nearest to 2\/5 in t, 0.4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -5*4\/50*(-45)\/279\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 555151?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) be the first derivative of -2*o**5\/25 - o**4\/15 + 2*o**3\/45 + 14. Factor x(u).\nAnswer: -2*u**2*(u + 1)*(3*u - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6 + -4 + 8 + (-1 - -15)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -1.78456649 rounded to two decimal places?\nAnswer: -1.78","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from obbototttottt. What is prob of sequence obt?\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 62\/891 and -103\/3240.\nAnswer: 35640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.27759? (a) -2\/3 (b) -0.1 (c) -0.2 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j**(1\/4)*j*j**(-4)\/j)\/(j**(-1\/3)*j*j)**(-10))**37 assuming j is positive.\nAnswer: j**(5735\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f = -322 + 347. Solve 5*h + 5*z - f = 0, -5*z + 21 = 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -3343 or -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = 103*m**2 - 2770*m - 297. What is y(27)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 101*i - 693 = 332*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -20 (base 4) in base 2?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 30 and 870.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand -5 - d**4 + 5 + (2*d - 5*d + 2*d)*(2*d**3 + 0*d**3 - d**3) - 2*d**4 + 5*d**4 - d**4 + (2*d + d - 5*d)*(-d**3 + 3*d**3 + 0*d**3).\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = 39*f + 2. Let g(w) = 3*w**2. Determine v(g(z)).\nAnswer: 117*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h be 17\/2*(26\/(-2) - -3). Suppose -s + 6*s + 330 = 0. Let b = s - h. Calculate the greatest common factor of 38 and b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = 5*n**2 - 152*n + 1193. What is a(10)?\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = 20*k**3 - 2*k + 1. Let x be b(1). Suppose 0 = -x*h + 14*h + 455. Let y = h + -88. Which is greater: y or -5\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 4, 14.4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 388348 and 187272.\nAnswer: 1069510392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express 2 - 8*s**4 - 63*s + 34*s**4 + 2*s**3 - 6*s**4 - 15*s**4 in the form n*s**3 + v + y*s**2 + b*s + l*s**4 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p = 184\/5 + -689\/30. Let l(y) = 4*y**2 + 1. Let m be l(1). Find the common denominator of 12\/(-75)*m\/2 and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 3536 and 1360?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/40 of a kilogram in milligrams?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:11 PM and 7:36 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o = -9360 - -9361. Let d(i) be the first derivative of -1\/2*i**2 + o + 1\/3*i**3 + i. Let y(l) = -8*l**2 + 6*l - 6. What is 12*d(q) + 2*y(q)?\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -14231*s*t**2*u**3 + s*t**2*u + 13*s*t**2 - 66*s*t - 20*s*u**2 + 34*t*u**3 + t*u**2 wrt t?\nAnswer: -28462*s*u**3 + 2*s*u + 26*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (33 + -13 - 24) + 4 - ((6 - 2) + -38)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 4516278 and 2418.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j = -28 + 32. Calculate the least common multiple of j and 14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 6539, 16942, 27371, 37838, 48355?\n\"Answer: 2*g**3 + g**2 + 10386*g - 3850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 1130 (base 11) in base 3?\nAnswer: 2001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1247 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 6 and 96?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -3 - -195b?\nAnswer: 1958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor 0 - 2\/11*b**3 + 14\/11*b + 12\/11*b**2.\nAnswer: -2*b*(b - 7)*(b + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v**2 - 3833218*v + 19166115 = 0. What is v?\nAnswer: -3833223, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h = -70 - -79. Let n be (3\/h)\/(1\/(-9)) - -22. Is n greater than or equal to 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-3)\/(-2) - 1 - 1. Let u = -18 - 2. Let a be 35\/u + 1\/(-4). Which is greater: k or a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 544757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h + d - 7 = -0*d, 4*d - 16 = 0. Let k = -14 + 8. Which is the smallest value? (a) h (b) -5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = 2*k**3 - 70*k**2 - 65*k - 45. Calculate n(36).\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 1443943967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k + 5*f = -18, -3*f - 8 = k - 5*k. Let w be (-1 - k)*2*(-1)\/4. Let h = 5 - 3. Solve h*d + 7 = 2*m + 3*d, 2*m - d - 1 = w for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:04 AM and 12:18 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 27 = -8*z + 83. Suppose -z*o = -13*o + 1338. Calculate the remainder when o is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-5 - 0) + 4 + (2 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = -37.029 - -0.029. Let d = m + 34. Which is the closest to d? (a) -0.5 (b) 0.5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -0.07, -2\/9.\nAnswer: -2\/9, -0.07, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = 2*m + 1. Suppose 5*a + 0 + 2 = -3*r, 3*r = -3*a. Let v be y(r). Factor -2*c - 2 + 1\/2*c**4 + 3\/2*c**2 + 2*c**v.\nAnswer: (c - 1)*(c + 1)*(c + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-8)\/(-28) - 26\/(-7). Suppose 54 = v - 0*v - q*y, 0 = -2*v - y + 117. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -14\/26545 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = -10*a**3 - 192*a**2 + 5778*a - 59576. Let s = -150 - -152. Let c(l) = 2*l**3 + l**2 - 2*l - 1. Let h(o) = s*v(o) + 12*c(o). Factor h(j).\nAnswer: 4*(j - 31)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 164944, 1, -11, 3 in descending order.\nAnswer: 164944, 3, 1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -36*f**2 + 30*f + 3*f**2 - 13*f - 13*f + 0 - 1 to the form x*f**2 + q + y*f and give x.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2805353.\nAnswer: 2805353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 12317544 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 19402 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v = 208 - 178. Suppose -27*m + v = -17*m. Solve m*u - 4 = 4*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -21\/4 and (4\/(-30))\/((-24)\/(-1310))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-385)\/10 + -1)\/((-1)\/(-2)). Let x = 99 + h. Let i = 50 + -30. What is the least common multiple of i and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -4b23e - -1?\nAnswer: -4b23d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t + 73 + 3 = 0. Is 19 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -17 = -5*p + 4*p + 2*v, 31 = -4*p - v for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.065 - -22.0369.\nAnswer: 22.1019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g be 9\/60 + 2\/(-5). Let m(t) = -3*t + 2. Let n be m(-1). What is the nearest to g in n, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -0.005 - 2.895. What is b rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -56836459 and -0.1.\nAnswer: 5683645.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate (0 - -1)*(-9 + 5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -488 - -488. Suppose -o + 5 + 5 = s. Solve 0 = -2*y - 3*j + 16, o = 2*y - 5*y + 4*j for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) be the second derivative of -c**4\/12 + 25*c**3\/3 - 7*c - 2. What is the second derivative of l(k) wrt k?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 16\/(-136) + (-1)\/(17\/(-623919))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 53 in -64974, 1\/4, 1\/2, -0.3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o = 13 + -23. Let w = 28 - 20. Let y be (w\/o)\/((-7)\/35). Is y less than or equal to -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (14\/105*5)\/(2\/9). Solve 2*n - 3*n = -s for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = 326*g**2 - 200*g - 200. Let c be f(-1). Solve 0 = 77*s + c + 59 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = -8*u**3 - 392*u**2 + 80*u + 4323. Calculate h(-49).\nAnswer: 403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 = z - 13. Let k be (12\/(-10))\/((-3)\/z). Suppose -k*v - 88 = -10*v. List the prime factors of v.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 13908025 is divided by 702?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -47*z**3 - 37*z**3 + 20*z**3 - 49*z**3 - 11*z**2 + 11*z**2.\nAnswer: -113*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-6)\/(-18) - ((-4)\/(-3) - 1). Suppose -2*b + s + 13 = d, -9*b + 5*s + 35 = -4*b. Calculate the highest common divisor of b and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = -r + 7. Suppose 4*f + 19 = r*w - 5, 0 = w - f - 7. Calculate the remainder when -6*3*(-2)\/w is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3*w + 0*w - w)*(3 - 2 - 5)*(-5*w + 9*w - 10*w) to u*w + j + p*w**2 and give p.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -0.3 (b) 5 (c) -3 (d) 1775 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*w**3 - w**2 + w**2)*(1 - 1 - 3*w) + 4*w**4 - 3*w**4 + 0*w**4 + (17*w**3 - 8*w**3 + 8*w**3)*(-2 + 2*w + 2) - 4*w**4 + w**4 + 4*w**4.\nAnswer: 30*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 850947356?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 63178 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8 + 84*n**2 + 155*n**2 + 6 - 243*n**2 + n + 2.\nAnswer: -4*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = -v**2 - v + 1. Let m be u(1). Which is smaller: m or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide 928175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 51015312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w = -67 + 65. Let h(b) = 2*b**2 + 1. Let r(l) = 7*l**2 - l + 3. Let d(c) = 9*h(c) - 2*r(c). What is the units digit of d(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -78770 divided by 8\nAnswer: -39385\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 50*v**2 + 1210*v - 1215*v + 0 - 109*v**2 - 6 + 57*v**2.\nAnswer: -2*v**2 - 5*v - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:17 PM and 8:27 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 25\/8 of a millennium in years?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Are 0.7 and -65019787 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 - (14 - (15 - 10)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (10*q**3 + 86 - 86)*(2 + 6 - 27).\nAnswer: -190*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z = -243.32 + 243.82. What is the fifth biggest value in 4.3, z, -7, -2\/3, 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2341 + -876. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = 1 + 13 - 3 + 458*l - 446*l. Let s(r) = -5*r - 6. Let z(u) = -2*d(u) - 5*s(u). What is z(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:32 AM and 10:03 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -25*m**5 + 359315*m**4 - 14901645*m**3 - 37186975*m**2 - 28231630*m - 6305640 = 0 for m.\nAnswer: -1, -2\/5, 44, 14331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -2.989495608 rounded to 2 decimal places?\nAnswer: -2.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of ((-55)\/3)\/(39\/(-390)*30) and (-2)\/4*14\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 524154239 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 72*b + 85*b - 156*b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-27 - -28) + (-9 - (1 - -2)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -333 divided by -37?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:25 PM and 4:20 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = -1625*g**2 - 3236*g + 7. Calculate l(-2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a - 5*q - 7 + 2 = 0, -2*a = 3*q + 23. Let x = 4 - a. Suppose 3*g - x = -2. What is the greatest common factor of 1 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 96665 and 361?\nAnswer: 34896065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 b and 1 d when three letters picked without replacement from gdbvrrdbhrdddb.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(44)\/(sqrt(24)\/sqrt(216)) + (sqrt(22)\/sqrt(2) + 2)*5.\nAnswer: 10 + 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b = -258.74 + 255. Let x = b + 2.74. Is 0.54 less than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) -6\/85 (c) 37 (d) -23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = 3*s**2 - 5*s - 22. What is the least common multiple of d(-15) and 4?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from hhshhehhhehshhee. Give prob of sequence ses.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 30 a factor of 755100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 32 + -13 + 0 + -4?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -8550, -17099, -25648, -34197?\nAnswer: -42746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o + 64 = -o. Let c = o + -14. Let x be (5 - -3)\/c - -2. What is the highest common factor of x and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.3 + 1079053755777?\nAnswer: 1079053755777.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 1, 2\/15, -3, 20?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = 42*l**2 + 12*l - 43*l**2 - l - 12. Let c be q(10). Let a(p) = p**3 - 3*p - 2. What is a(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a + 1302 = -a - 4*h, 3*a + 5*h = 1964. Does 20 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (176*m**2 + 30*m**2 - 40*m**2)*(-m**2 - 2*m**3 + m + m**2).\nAnswer: -332*m**5 + 166*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -7*(-28)\/539*(-1650)\/(-60)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wlll when four letters picked without replacement from {w: 2, l: 5}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -m**3 - 6*m**2 + 2*m - 9. What is g(-6)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(144)\/(-5*(sqrt(6) - sqrt(54))))\/(sqrt(40)\/(-1*sqrt(35)\/sqrt(7))))**2.\nAnswer: 3\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 2 (base 15) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**5\/((n*n**(-2\/3)*n)\/n)*(n*n*n**1)**(-2\/37))**(-39\/4) assuming n is positive.\nAnswer: n**(-1625\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 250 minutes before 11:53 AM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jgjggcggjjgccgccccj. Give prob of picking 2 c.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 18, l: 1}. What is prob of sequence yy?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 88 divided by -545346\nAnswer: -44\/272673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 3 (b) -2\/19 (c) 469 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -41*c + 37*c + 4 = 0. Solve r = 5*t - 7 - c, -3*r + 8 = t for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 4 + -5. Let t be 10*((-105)\/(-6) + s). Suppose 6*j - t = j. Is 14 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 34.70064l?\nAnswer: 34700.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = -286 + 779. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*x + 3*r - 24, 437*x + 4*r = 434*x - 18 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = 81*h + 83. Let n(u) = -24*u - 28. Let c(r) = 10*n(r) + 3*z(r). Determine c(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = -35*c**3 + 14*c**2. Let r(a) = 12*a**3 - 5*a**2. Suppose -4*i + 2*m = -12, 5*i - 10*m - 9 = -6*m. What is i*u(p) + 14*r(p)?\nAnswer: -7*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -5*-584\nAnswer: 2920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = 1 + 0*w**2 + w**3 + 5*w**2 + 2*w**3 - 3*w - 2*w**2. Let d be g(1). What is the tens digit of d - 255\/(-3) - 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -27 + 38. Let c = s - 3. What are the prime factors of 1*(-44)\/c*22*-1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 38, -7, -84, -193?\n\"Answer: -16*a**2 + 3*a + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0.4 less than 0.051656337937?\nAnswer: -0.348343662063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -0.50954 rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) be the second derivative of -17*r**5\/20 - r**3\/2 - r**2 - 15*r. Calculate the remainder when j(-1) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c = 140 - 108. What is c rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g + 267 = 4*h - 427, -g + 347 = 4*h. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d = 34 - 14. Suppose -d*c = 4*y + y - 50, -4*y - 35 = -c. Suppose 0 = t + h + 4, 0*h = 4*t + 3*h + 12. Solve -c = 3*z - t*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = 5*o**2 + 2*o - 1. Suppose 0 = -6*y + 2*y - 4, 5*y = -4*j + 15. Suppose -3*l = j*a + 12, 5*a + 13 = l + a. Determine g(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 132 + -163 + (6 + -9 + 6 - 10) + 6\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*o**3 + 40*o**2 - 45*o.\nAnswer: 5*o*(o - 1)*(o + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = 8*y**2. Let h(q) = 8*q. Let r(c) = 2*c - 8*c - 2*c - 2*c. Let k(i) = 6*h(i) + 5*r(i). Calculate k(f(t)).\nAnswer: -16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -39\/986 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert -1187 (base 12) to base 10.\nAnswer: -1975","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n - 4*n + 1 = 0. Let o be 2*(2\/(-2))\/n. Suppose 5*d + 3 = o*p, 5*p - 38 = 3*d + 17. What is the remainder when 27 is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (3 - 13)*33*1. What is the common denominator of (-4)\/22 + (-115)\/p and -5\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*l**2\/4 - 6309*l\/4 - 490269\/2.\nAnswer: -3*(l + 169)*(l + 1934)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does 2189 divide 18479634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 t and 1 q when two letters picked without replacement from {t: 7, q: 1, i: 7, b: 1, k: 1}?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*t - 0*j + j - 24, -25 = 3*t + j. Let d(r) = -4*r**3 - 5*r**2 - r - 1. Let o be d(-2). Let q = o + t. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = -19*z + 59. Determine a(5).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 10673239 to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n be 325\/13*(-6)\/(-35)*91. Is (n\/(-24))\/5*-136 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -137\/8 > -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(49) + sqrt(784))*-6)\/(sqrt(84)\/sqrt(12)*6).\nAnswer: -5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 3, c: 6, y: 3, t: 4, r: 1, i: 1}. What is prob of picking 2 t?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o = 461 - 259. Let m = o + -119. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 3\/2*(0 - (-2 + 0)). Solve z*v + 16 = -v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = 7*v**2 - 35*v - 43. Is r(-16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 16 (base 11) to base 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w = 5 + 91. Let s = w + -39. What is the remainder when s is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -c - 86*c**3 - 7*c**3 + 3*c - 2*c**3 + 3*c - 3*c + (2*c**3 + 3*c - 3*c)*(-4 + 2 + 1) + c**3 - c**2 + c**2.\nAnswer: -96*c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is next in 155, 356, 561, 770, 983, 1200, 1421?\nAnswer: 1646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from fxxbffxmbxbbby. What is prob of sequence fbx?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 565.\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 27 and 12036477.\nAnswer: 108328293","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gg when two letters picked without replacement from cwwwggfwf?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1028?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 0.11114498 rounded to 2 dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 78 divide 8346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 39122250 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 2340301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d = -19 + 21. Suppose 2*s + d*s = -o + 25, 0 = 5*o - 2*s - 125. Calculate the remainder when 73 is divided by o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -60 (base 8) to base 7.\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -3 divided by 3689502\nAnswer: -1\/1229834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = 32*c**3 + 2*c - 3. What is h(-2)?\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-4)\/6)\/2)\/((-4)\/24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = 4 - 2. Suppose j = 24 + a. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -2\/11 (b) -3\/7 (c) 851\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -6 + 3 + (-7 - (-9 + 6)) + 2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 127.9 times 0.032\nAnswer: 4.0928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x = 19 - 16. Solve y = -4 + 1, -2*z + x*y = 1 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -2492 - -3841. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 321 (base 4) in base 15?\nAnswer: 3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: (2 - 4) + -1 + -10 + 9\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -21 times 60\nAnswer: -1260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = -276*p - 1520. What is z(-5)?\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express (-2 - q**2 - 8*q + 8*q)*(355*q**2 - 183*q**2 - 3 - 178*q**2) as l*q**4 + o*q**2 + x*q**3 + t + m*q and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = z**2 + z + 1. Let v(r) = -4*r**3 - r**2 + 4*r + 4 + r**3 + 5*r**2. Suppose -2*w + 4 + 4 = 0. Suppose -133*m = 291*m + 424. Determine m*v(l) + w*x(l).\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 155698610?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence fff when three letters picked without replacement from {f: 7, a: 2, x: 3}?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.56 and 181?\nAnswer: 101.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 321 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*f + 16 = 12*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 0 - -126c0bd1?\nAnswer: 126c0bd1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -0.14, 25.\nAnswer: -5, -0.14, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = -3829*w**2 - 4 + 3834*w**2 + 412*w - 414*w + w**3. Let j(t) = -t + 1. Let l be j(6). Calculate m(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 87989378?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0805 take away -8.4891924?\nAnswer: 8.4086924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*t**3\/7 + 34767*t**2\/7 + 26871696*t\/7 + 768564288.\nAnswer: 3*(t + 408)**2*(t + 10773)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*o**2 - 12215*o - 4*o**2 + 12138*o + (o - 3*o + 4*o)*(o + 4*o - 4*o))*(-11 - 3*o + 11)*(-1 + 0 + 0).\nAnswer: -21*o**3 - 231*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) -250 (b) 7 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = 4*k**2 + 15*k. Let v(d) = -6*d**2. What is i(v(s))?\nAnswer: 144*s**4 - 90*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sum 3067 and 0.06.\nAnswer: 3067.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = z**3 + 7*z**2 - 22*z - 2. Let q be r(-9). Let v = q + -19. Solve 2*j = 4*t + 10, -t - v = 3*t + 3*j for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 9207515 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n = 11 + -7. Suppose -b + 230 = n*b. What is the remainder when b is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -6 - (-20 + 4) - -2 - 28?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand -m + 8*m**2 + m + (m + 4*m - 6*m)*(2*m - 2*m + 3*m).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -u**2 - 6*u**2 + 1 - 1 - u**2.\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in nine tenths of a decade?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z = -299 - -2092\/7. Let g be -7 - 8\/(4 + -6). Sort -5, g, z, -9 in increasing order.\nAnswer: -9, -5, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 288930.6*-1.5.\nAnswer: -433395.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) be the first derivative of 5*o**2\/2 - 24*o + 4236. Give g(17).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 2319 + -2139. What is the highest common divisor of 240 and t?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -14, -1, -3, -114, -6, 396 in descending order.\nAnswer: 396, -1, -3, -6, -14, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1302791 is divided by 2314?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 20510 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 31 + 0 - (85 + -208 + 150)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 8374 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1442 - -1664. What is the smallest common multiple of 5 and v?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = -1001*x - 45956. What is j(-46)?\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -301, -1, 2\/11, 216, 3?\nAnswer: 216","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.1289 + -0.128899846. What is w rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 11094 and 84.2?\nAnswer: 934114.8","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} {"text":"Question: Simplify (c\/(c**(1\/5)*c*c)*c*c**(1\/10))**(-41) assuming c is positive.\nAnswer: c**(41\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express 13*w**3 + 29*w - 8*w - w**4 - 9*w**3 in the form y*w**4 + x*w**2 + b*w + v*w**3 + i and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put -16, 4, 17, -32, -3 in ascending order.\nAnswer: -32, -16, -3, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 618226 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 1916 and 398.\nAnswer: 381284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from lqqllll. What is prob of picking 2 l?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round -14924 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = u**2 + u - 11. Let p = 9 + -4. Let d be i(p). Is (d - 1) + (-2)\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l = -2*z + 14, -2*z - 3*l + 8*l = -14. Let n(h) = 9*h**2 - 9*h - 5. Is n(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 502474?\nAnswer: 2, 7, 19, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m + 3*q = 8909412, 6*m + 39*q = 34*q - 17818780. Round m to the nearest ten thousand.\nAnswer: -2970000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 449c - -13887?\nAnswer: 18056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -4*j**3*q**2*s - 3*j**3*q*s + 3*j**3*q - 607*j**2*q**2*s - 2*j*q*s - 5*q**2*s + 26*s wrt q.\nAnswer: -8*j**3*s - 1214*j**2*s - 10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 124 and 136.\nAnswer: 4216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {e: 5, z: 1, l: 4, w: 3, x: 1, p: 4}. Give prob of picking 1 l, 1 x, and 1 z.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h = -32 - -43. Suppose -h = -15*u - 116. Let f(p) = -8*p + 2. Let i(y) = 7*y - 2. Calculate u*i(c) - 6*f(c).\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d = 2206 - -2256. What are the prime factors of d?\nAnswer: 2, 23, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (33 + 29 - 11)*(3*s + 2*s - 6*s).\nAnswer: -51*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 25 (b) 1\/2 (c) -351 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:58 AM and 2:51 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 6607772 and 178409844?\nAnswer: 178409844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = -11*z**3 - 10*z**2 + 38. Let k be y(-7). What is the greatest common factor of 9 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: (-2 - -5) + -1 + 9 - (8 + -3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3571681 is divided by 99213?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:40 PM and 3:39 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 5 - (4 + 2 - 9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -163\/120 and -121\/4522170?\nAnswer: 18088680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = f**3 - 4*f**2 - 12*f - 5. Let w be z(6). Sort 5, 1, w in ascending order.\nAnswer: w, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 638 + -576. Let f(n) = -1 + i*n - 64*n + 3*n**2 - 2*n**2. Determine f(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 432*r - 16165 = 9143 + 6526 - 4186 for r.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -0.4 (b) -1\/13 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = h**3 + h. Let f(w) = -16*w**3 - w**2 - 3*w - 9. Let t(r) = f(r) + 4*i(r). Let k be t(-5). Let n = k + -938. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -18, 1, 26, 51, 70, 77, 66, 31?\n\"Answer: -d**3 + 9*d**2 - d - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.6? (a) -5 (b) 0 (c) -0.1 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*p**2 + 313*p\/3 + 21203\/3.\nAnswer: -(p - 91)*(6*p + 233)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express (-209607 + 209607 - 1704*j)*(0*j + 3*j - 2*j) in the form d*j + z + s*j**2 and give s.\nAnswer: -1704","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) be the first derivative of -168 + 0*z**2 - 47\/2*z**4 + 0*z - 155\/3*z**3. What is the third derivative of g(p) wrt p?\nAnswer: -564","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose x - 6 = 4. Let w = x + -6. Solve w*t - 3 = 5*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 18417930, 73671724, 165761380, 294686898, 460448278, 663045520, 902478624?\n\"Answer: 18417931*u**2 + u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = -10 - -108. Let j = 165 - l. Is 17 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00282190756 to 6 decimal places.\nAnswer: -0.002822","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -2 - -360?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1236162 is divided by 476.\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 95 = 2*w - 3*s, -100 = -3*w - 12*s + 8*s. Calculate the highest common divisor of 130 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = -p - 3*s + 1222, 2*s = -4*p + 4758. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (6*d + d - 3*d)*(-4 - 5 - 10) + (2 - 1 + 8)*(-d + 5*d - 5*d) as m*d + b and give m.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-6)\/48*4*(-8)\/(-10).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = -15 + 15.2. What is the smallest value in 4\/5, 1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:42 AM and 9:02 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -897 = -4*p - 2*s - 6729, -1458 = p + 5*s. Let m = -994 - p. Does 18 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.2 and 0.309671.\nAnswer: 0.0619342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from lzllttltcmzlmltm. What is prob of sequence ct?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is (2\/(-10))\/((-376)\/(-50) + 630\/(-99 + 9))?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = 11172 - 10855 + 9*d + 25*d. Is x(48) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1536480 and 14550?\nAnswer: 7682400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -128 + 2?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11584 is divided by 23.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1606195 is divided by 801?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find h such that 3*h**4\/7 + 51528*h**3 + 10840357488*h**2\/7 - 12391453440*h + 173491891200\/7 = 0.\nAnswer: -60120, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21*q = 12*q - 6219. Let j = 1152 + q. What are the prime factors of j?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:14 AM and 12:38 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = 89 + d - d**2 - 89. Suppose 4 = -g + 2. Let p(o) = -o**3 + 6*o**2 - o. What is g*h(r) - p(r)?\nAnswer: r**3 - 4*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 137 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = -17*q**2 + 3*q**2 - 3*q**2. Let o(r) = -10*r**2. What is o(t(m))?\nAnswer: -2890*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j = -344 + 636. Let q = -291.8 + j. Which is the nearest to -5? (a) -5 (b) 0.4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-6)\/14)\/((-174)\/116)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort -172, -3, -2 in decreasing order.\nAnswer: -2, -3, -172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 54 and 918?\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u = 21 + -29. Let k = 5 + u. Let g be ((-2)\/(-3))\/(k\/(-117)). What is the greatest common factor of 13 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = -2*i**2 + 2*i + 2. Let d(w) = w**2 + w. What is -d(g) - p(g)?\nAnswer: g**2 - 3*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = 37*m + 68. Give y(-6).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = 14*v. Let x(z) be the third derivative of 0*z + 10*z**2 - 1\/12*z**4 + 0 + 0*z**3. What is x(m(g))?\nAnswer: -28*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round -15259637.44 to the nearest one thousand.\nAnswer: -15260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 706 minutes before 7:19 AM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:35 PM and 7:11 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z = 2*p - 7166, p + z - 3573 = 5*z. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 48 divide 2592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-280)\/49 + (-2)\/7. Suppose 4*j = 8 - 0. What is the remainder when g\/(-4)*(-48)\/(-18) is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -104 + 104 + 67*i.\nAnswer: 67*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q + 15 + 1 = 0. Suppose q*i - 2 = -4*y + 6, -3*y + 6 = 4*i. Sort i, 4, -4, 3 in ascending order.\nAnswer: -4, i, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -6938 + 9957. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 - 9 = -4*t. Let g = -21 - -21. Find the second derivative of -7*u - t*u**2 + g*u - 7*u + u**2 wrt u.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -469 (base 13) in base 5?\nAnswer: -11023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7451972 - 0.5.\nAnswer: -7451972.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*1*sqrt(95))\/(-5*sqrt(5)*-2).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u + 3*w = 16, 0 = u - w + 729 - 725. Determine b so that 6\/5*b**3 + 2\/5 + 2\/5*b - u*b**2 = 0.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = 6077 - 6061. Calculate the remainder when 3598 is divided by c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1419 and 516?\nAnswer: 5676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 29\/2 of a centimeter in millimeters?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 7218 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 878 is divided by 182?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand ((2*x**3 + x - x)*(-4 + 2 + 1) + 26*x**2 - 26*x**2 + 7*x**3 + x**3 + x**3 + x**3)*(2 - 2 - 2).\nAnswer: -16*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (19 - 4)\/5 + 3*42?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = 4260*g**2 - 12*g + 72. Let o(t) = 4*t**2 + t - 6. Determine 12*o(w) + u(w).\nAnswer: 4308*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 5 - -78a1?\nAnswer: 78a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y = 3008173 - -1889816. Let i = y + -4897989.5100046. Let f = i - -0.51. What is f rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (6783\/646)\/(14\/20).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {z: 3, j: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v and 1 m when two letters picked without replacement from kimlqvkkmiivvii?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express -2 - 8 - 21 + 8*p**2 + 2 + 3 in the form n + w*p + o*p**2 and give n.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t = 2 + 4. Suppose -2 = s - t. Let l be (-36)\/(-207)*s\/2. Which is bigger: l or -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -27 + 19. Let q be 3\/((-6)\/44) - 24\/f. Let l = q - -43. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = h**2. Let w(u) = 3*u**2 + 9*u - 9*u - u**2. Calculate w(y(j)).\nAnswer: 2*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange j**3 + 2 - 2 + (10*j**3 + 0*j**3 - 2*j**3)*(5 - 2 - 4) + (2*j**3 + 2*j**3 - 3*j**3)*(9 - 2 + 3) to b*j**2 + h + q*j + n*j**3 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d = 5.67 + -6.07. Put 105, d, 8 in ascending order.\nAnswer: d, 8, 105","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2245120?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.532 + 0.032. Which is the nearest to -13? (a) 2\/7 (b) 5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (10 - 21 - -3) + 7 + 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*j + 500 - 1710 = 0. Let w = j - 104. Suppose -w*u - 35 = -323. Calculate the highest common divisor of 6 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -0.03 (b) -2288 (c) 0.5 (d) -3 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -954, -1935, -2916, -3897, -4878?\nAnswer: -5859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -52 - (50 + -65 + 1).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2.1 in -1\/4, -93, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = -2*i**2. Let t(s) = -19130628*s. What is t(a(v))?\nAnswer: 38261256*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z be 1\/(-3) - (-8)\/(-12). Let x be (-65)\/(-1106) - ((-136)\/448 + 12\/32). Which is smaller: x or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 2024 and 2216786?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2398638149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 11740758 is divided by 389?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = 4*l - 33. Determine u(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 5037?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*sqrt(1573)*-1.\nAnswer: 22*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*h - 3 = -3*g + 12*h, 0 = -4*g - 3*h + 18 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort -78, -4, 5 in increasing order.\nAnswer: -78, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is -6\/1286093 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = 4*r + 3*r**3 + 0*r**2 + 3*r**2 - 2*r**3 + 3*r**2 - 3. Calculate x(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -4 and -0.0238?\nAnswer: 0.0952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let 16*u**3\/5 + 89844*u**2 - 336928*u\/5 - 112308\/5 = 0. What is u?\nAnswer: -28077, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = d**3 - d + 1. Let i(h) = 3*h**3 - 58*h**2 - 2*h - 93 - h + 58*h**2 - 203*h**4. Let q(v) = -i(v) + 3*y(v). Find the first derivative of q(n) wrt n.\nAnswer: 812*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -1\/3, 1502, -2, -0.4, 0.2, -0.026?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*s + 430 = -1256. Suppose 2*q = -87 - s. Let x = -131 - q. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine t so that -t**4\/7 + 8*t**3 + 38876*t**2\/7 + 77520*t\/7 = 0.\nAnswer: -170, -2, 0, 228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 148, 151, 156, 163?\n\"Answer: d**2 + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 61\/4 of a milligram in micrograms?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f be 5\/(-15) + 2166\/18 + -1. Let p = f + -127. Sort -0.3, -1, p in descending order.\nAnswer: -0.3, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-14 + 47*i + 14)*(-4*i + 12*i + 2*i) as t*i**2 + p*i + x and give t.\nAnswer: 470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 946 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Work out -1 * 5035563.\nAnswer: -5035563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -391 * 1\nAnswer: -391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 210 + -2?\nAnswer: 20b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 56*b = -4*v + 48*b + 40, -v = 3*b - 15 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) be the third derivative of s**4\/12 + 295*s**3\/6 - 2*s**2 - 26. What are the prime factors of l(0)?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 + -3 + 12 - (-87 + 84) - -4.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -217+6418\nAnswer: 6201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = 393*u. Let i(b) = -2*b - 1235 + 1235. Determine g(i(v)).\nAnswer: -786*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = -4*l + 20. Let w(c) = 3*c - 20. Let a(s) = -2*i(s) - 3*w(s). Calculate a(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) be the first derivative of u**2\/2 - 65. Let z(h) = 3*h**2 - 4*h. Determine i(z(o)).\nAnswer: 3*o**2 - 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 25 a factor of (-7030)\/(-6)*-5*54\/(-90)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 0*((-30)\/5 + 5). Let u be 1\/(-3)*(-24)\/16. Let q = 0.2 - 0.5. Which is the closest to -2\/3? (a) f (b) u (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = a**3 - 198*a**2 + 9516*a - 349. Calculate t(82).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1095*m**2 + 8*m**3 - 13*m**3 + 12*m**3 + 150*m**2.\nAnswer: 7*m**3 - 945*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w = -192320\/5733 + 1658\/49. What is the common denominator of w and 45\/169?\nAnswer: 1521","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -5, 15, -3.\nAnswer: -5, -3, -2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 89*k + 3 - 221*k - 3.\nAnswer: -132*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round -24160 to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 16486558?\nAnswer: 2, 11, 29, 25841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = -p - 1. Let d be (-5)\/4*(-4)\/(-1). Let l be m(d). Let t(z) = 2*z - l*z - z. Let r(q) = -2*q**2. Calculate r(t(w)).\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0.09, -9, -0.2, -3, -242\/7, 1, 0?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 4064831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) be the second derivative of w**6\/105 + 3*w**5\/70 - w**4\/21 - 4*w**3\/7 - 8*w**2\/7 + 2*w - 2. Factor z(o).\nAnswer: 2*(o - 2)*(o + 1)*(o + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 9 by -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 117284933?\nAnswer: 117284933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 22*m + 13*m - 40*m.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Differentiate h**2*r**2 - 6764*h**2*r*z - 4*h**2 - 113321*h*z + 16*r*z - 3 wrt r.\nAnswer: 2*h**2*r - 6764*h**2*z + 16*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + -1*(-1*sqrt(99)*2)\/sqrt(9))**2.\nAnswer: 16*sqrt(11) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in one tenth of a gram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-3)\/(-6)*1*-8. Let z(u) be the first derivative of -1 + 4*u + 2*u**3 - 5\/2*u**2. Let k(j) = j**2 - j + 1. What is w*k(v) + z(v)?\nAnswer: 2*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2 times 0.0269699?\nAnswer: 0.00539398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = -5*j, 11 = -u - 5*j - 5. Let i = 10 - 22. Calculate the remainder when 31 is divided by (-102)\/i - 1*(-2)\/u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 15467402323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l = 8.76 + -14.75. Let y = l + -0.01. Put y, 0.1, -5 in descending order.\nAnswer: 0.1, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 54425\/2292 - -5\/1146. Let t(k) = 3*k**2 + k - 2. Let g be t(1). What is the common denominator of n and g + (-68)\/80 - 1?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -4.41 + 0.11. Let n = 1.9 + h. Let f = n - -0.4. Which is the closest to 1? (a) f (b) 5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + (sqrt(98) + (-1 + sqrt(98) - sqrt(98) - sqrt(98)))*4 + (sqrt(98) - (-2 + -1*sqrt(98))))**2.\nAnswer: -112*sqrt(2) + 408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*p**3 + 8*p - 8*p)*(-2*p + 3*p + p) + (-p + p - p**2)*(0*p**2 - 2*p**2 - p**2) + p**4 + p**4 + 0*p**4.\nAnswer: 11*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -43\/2560 and -11\/160.\nAnswer: 2560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 76360 = 3504*d + 342664 for d.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -186, -400, -614?\n\"Answer: -214*u + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2111586, -2111585, -2111584, -2111583, -2111582?\nAnswer: -2111581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = -c + 10. Determine i(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 12 = 4028*d - 4027*d + 2*i + 6, d + 5*i = -4 + 13 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n = -97058067\/13300 + 138660\/19. Let u = n - 1\/100. Put u, 0, 2\/19, -1 in decreasing order.\nAnswer: u, 2\/19, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 80.9 - 81. Which is the nearest to 0.1? (a) 0.1 (b) t (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 172283508?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n + 8 = -3*x, 0*n + 3*n + 2*x = 12. Solve m = n*m - 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*(sqrt(810)*-4 - sqrt(810))*2)\/((sqrt(98) + (sqrt(98) - 2*sqrt(98)))*4 - 3*(2*sqrt(98) - sqrt(98))).\nAnswer: 60*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = 9*x**2 - 12*x + 1. Let j be s(4). Factor -91 + 333 - j - 109 - 4*o**2.\nAnswer: -4*(o - 3)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3.338854 weeks in seconds?\nAnswer: 2019338.8992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1867, 3730, 5579, 7408, 9211, 10982?\nAnswer: 12715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: ((-13)\/(-18 - -44))\/(5\/2)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:38 AM and 9:45 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7463 is divided by 7440?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.059 - -0.059. Let x = 1.5999982 + -1.6. Let y = u + x. Round y to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*p + 39 + 337. Let t = p - 89. Let q be (t\/15)\/(38\/18 + -2). Let c(f) = 6*f + 2. What is c(q)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine c so that -2*c**4\/17 - 727316*c**3\/17 - 2909240*c**2\/17 - 2909232*c\/17 = 0.\nAnswer: -363654, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 n and 1 t when two letters picked without replacement from {t: 1, n: 11}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round 42303.176 to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 16152370?\nAnswer: 2, 5, 13, 124249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 5 - 11 - 210\/(-9)*(-4)\/(-15)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = o**3 + 25*o**2 - o - 26. Let s be t(-25). Which is the nearest to 8? (a) 3 (b) s (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0.4, 1\/5, 4, -3\/8 in decreasing order.\nAnswer: 4, 0.4, 1\/5, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3543*i - 16*i**2 + 6*i**2 + 3543*i.\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s be 6\/(-3)*(1 - 9\/(-3)). Let l be (s\/3)\/(-2 + 24\/18). Let i = -3.3 + 3. Which is the closest to -4? (a) i (b) 2\/9 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.2, 0.1, 1699\/31 in increasing order.\nAnswer: 0.1, 0.2, 1699\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -336891189+-20\nAnswer: -336891209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1.032 - 1.0317165. Round k to six dps.\nAnswer: 0.000284","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (0 - -1) + -11 + -34 + (79 - 38) - 11?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 125\/162 and -155\/1234662?\nAnswer: 33335874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = 13*l**2 - 102*l - 30. Determine m(8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -61\/45712 and -49\/97138?\nAnswer: 777104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = k**2 - k. Let l be m(-1). Let s be -2*(-1 + -1)\/l. What is the third derivative of -2*x**4 + 4*x**4 + 5*x**2 - 3*x**s wrt x?\nAnswer: 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = 4*r**2 + 9*r + 396. What is the lowest common multiple of 176 and h(-16)?\nAnswer: 5104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*q - j - 29, -5*q + 5*j + 33 = -4*q. Let d(k) = q*k + 10*k - 7*k + 8*k. Let v(x) = -x. Determine v(d(l)).\nAnswer: -19*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = 3*y + 19. Give a(-12).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = 22*i**2 - 18 + 75 - 21*i**2 - 15*i. What is the remainder when 23 is divided by d(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1940 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-5*d + 9 - 9)*(3 + 1 - 1)*(3*d - 6*d + 4*d) to the form o + y*d**2 + c*d and give y.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) be the second derivative of -2*p**3\/3 - 11*p. Let f(v) = -2252 + 1128 + 1124 - 25*v. What is f(b(k))?\nAnswer: 100*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 14653 is divided by 2321.\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = -6*o. Let z be 4*((-2)\/(-1) - -4). Let y(n) = 14*n + 8*n - z*n. Give c(y(l)).\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2756401029 to the nearest integer?\nAnswer: 1402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 + (10 - 1) + (6 + 3 - 81)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 + 5 + 2 + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-8 - -6) + (4 - (-2 + 4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 20 - -4 - 66 - -21\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) be the first derivative of -2*m**5\/5 + 7*m**4 - 98*m**3\/3 - 16. Suppose r(a) = 0. What is a?\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) be the first derivative of q**6\/27 - 14*q**5\/45 + 19*q**4\/18 - 50*q**3\/27 + 16*q**2\/9 - 8*q\/9 + 36. Factor w(y).\nAnswer: 2*(y - 2)**2*(y - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -39, -61, -63, -39, 17, 111?\nAnswer: 249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = 6*u**3 + 30*u**2 + 37*u + 208. Determine m(-5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1054 and 124?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = 11*l**2 + 8*l + 7. Calculate y(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -30192, -60261, -90298, -120309, -150300?\n\"Answer: -a**3 + 22*a**2 - 30128*a - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 110287107 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:55 PM and 1:39 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o be (378\/147)\/((-6)\/(-140)). Suppose 0 = 2*z - 2 - 2. Suppose 0 - o = -z*l. Is 6 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:32 PM and 5:44 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*y = -7*y + 21. Suppose -59 - 43 = -y*k. What are the prime factors of k?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 12681951?\nAnswer: 3, 4227317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -614 in 0.3, -7202\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = -r**2 - 2*r - 2. Let c(m) = m**2 + 3*m + 3. Let h(u) = 3*b(u) + 2*c(u). Let a(d) = -6 + 12 - 6 + 4*d. Determine h(a(p)).\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u = -181 + 1271\/7. Suppose 0 - u*g + 2\/7*g**2 = 0. What is g?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (4 - 7)*112\/(-3). What is the remainder when (-2 - 0)*8\/(-2) is divided by h\/16 + 4*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -0.6 and -237.\nAnswer: -237.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -0.325 take away -180.83068478?\nAnswer: 180.50568478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 2249*k = 2256*k + 42 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-9)\/(405\/10)*(103275\/(-25))\/(-27)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand -5*u**4 + 4*u**4 + 0*u**4 - u**4 + u**4 + u**4 + (2*u**3 + u**3 - u**3)*(5*u - 5*u + 2*u) + 232*u**3 + 16*u**4 - 232*u**3.\nAnswer: 20*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q = -41 - -50. Let z(w) = w**3 - 8*w**2 - 4*w + 2. Let x be z(q). Let d = x + -16. What is the remainder when d is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -20 + 24. Factor -g*i + 560*i**3 - 3*i + 6 - 559*i**3.\nAnswer: (i - 2)*(i - 1)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be -3*(0 + 1) + 37. Let k be t\/4 - 6\/(-12). Let c(r) = 4*r**2 - 6*r + 17. Is c(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 12727725.2 to the nearest 10000.\nAnswer: 12730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = 116899*g. Let p(b) = -8*b**2 - 1. Calculate p(w(l)).\nAnswer: -109323009608*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from flifcfcfffiffl. What is prob of picking 2 i?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 8280632 (base 10) to base 7\nAnswer: 130245533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.01 and -420.\nAnswer: -4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g - g + 35 = 0. What is the greatest common factor of g and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 3556 (base 7) to base 10.\nAnswer: 1315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find t such that 3*t**4\/4 - 222*t**3 + 27879*t**2\/4 - 61161*t\/2 - 90828 = 0.\nAnswer: -2, 8, 29, 261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 2\/(973\/49 + -20) + 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = -127*n + 24145. Determine c(190).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -160*h**2 - 143*h**2 - 170*h**2 - 155*h**2 - 159*h**2 + 775*h**2.\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand ((0*t + 2*t - 3*t)*(3*t + 1 - 1) + (2*t - 3*t + 2*t)*(t - t + 2*t))*(6*t - 5*t + 0*t) - 6 + 3*t**3 + 6.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 33054.83 microseconds in nanoseconds?\nAnswer: 33054830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 15.4*0.1\nAnswer: 1.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert -32020332333 (base 4) to base 8.\nAnswer: -16107677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j = 1917 - 403. What are the prime factors of j?\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*t - 740 = -16*t - 26*t + 548 for t.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*((sqrt(76)*-1 + -1)**2 + ((1*(sqrt(76) + sqrt(76) + sqrt(76) + -1) - sqrt(76)) + sqrt(76))**2).\nAnswer: -16*sqrt(19) + 1524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = -160*l - 3841. What is q(-24)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = 247*z**2 - 3*z - 6. Let c(i) = -243*i**2 + 2*i + 8. What is -3*c(u) - 4*g(u)?\nAnswer: -259*u**2 + 6*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*w = 3*w + 110. Suppose 74 = 4*j - 5*d, 2*j + 2*d - 6 - w = 0. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:53 PM and 10:27 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (10\/10)\/(2\/(-4)*(-2)\/11).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 14 a factor of 3454934?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hghg when four letters picked without replacement from {h: 11, g: 4, q: 4}?\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 42\/517 and -47\/261833.\nAnswer: 12306151","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-426608)\/(-6153))\/(8\/3)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 451 greater than 460?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m + 94 = -3*s, -3*s + 6*s + 376 = 4*m. Let d be 0 + (3 - (-4 + 2)). Suppose -d*l + 5*y = y - 134, 3*l + y = m. Is 15 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x = -2*z, -2*x - x - 4 = 2*z. Suppose z*c = 368 + 492. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 0 - 1200220110?\nAnswer: -1200220110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put -4\/2494287, 2\/9, -1, 4, 0.4 in decreasing order.\nAnswer: 4, 0.4, 2\/9, -4\/2494287, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -33*c + 23*c - 17*c to a + y*c and give y.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -104, -91, -2, 199, 548, 1081?\nAnswer: 1834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 14 and 420?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 459 and 1173663.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n be 62\/(-4) + (-3)\/6. Let g be 2*15*n\/(-4). Suppose -2 = 2*u, 3*u + g + 95 = 4*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = -k**3 - 4*k**2 - 2*k + 2. Let g(m) be the third derivative of 7*m**4\/12 - 15*m**3\/2 - 10*m**2 + 3. Let c be g(3). Calculate b(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-19 - (-3 + 2)) + (217 - 126) - -4?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23*u - 383 - 77 = 0. Let z(t) = -14*t + 203. What is the units digit of z(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 104 + -99. Suppose -8*m - 247 = -d*z - 9*m, 0 = 4*z + 5*m - 185. Is z a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -18, -28709, 3 in decreasing order.\nAnswer: 5, 3, -18, -28709","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 7528834087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1465883 is divided by 488624?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = -p**3 + 2*p**2. Let f be 30\/(-20)*4\/(-6). Calculate c(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -1030825 and -0.05971?\nAnswer: 1030824.94029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 3\/8 of a century?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (u**3 + u**2 - u**2)*(u - 2*u - u) - 4*u**4 - 2*u**4 + 4*u**4 + (4*u - u - u)*(-u**3 - u**3 + u**3) + 0*u**4 - 2*u**4 + 3*u**4.\nAnswer: -5*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 4592 and 39524.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -1113 (base 4) to base 16\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 56 a factor of 534031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q + 7*t - 153 = 2*t, -5*t = -3*q - 222. Let a be q\/195 - (-3)\/15. Put a, -4, -2 in ascending order.\nAnswer: -4, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -21, 17, 81, 183, 335, 549, 837?\n\"Answer: 2*s**3 + s**2 + 21*s - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = -28.121184 + 0.120664. Let p = j - -28. Round p to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 370*u - 453*u = -1844*u - 98616 for u.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 702 minutes before 8:09 PM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -1044*0.14\nAnswer: -146.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 21 and 40997397?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 37792 and 442875.\nAnswer: 1181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 2, 16, 54, 128, 250, 432, 686, 1024?\n\"Answer: 2*d**3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.142 - -2.142. Let d = 8 - 12. Let s be (-30)\/d*2\/9. What is the biggest value in -0.03, l, s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.084 and -84129.\nAnswer: -7066.836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t = 15 - 1. Let n = t - 14.0026. Round n to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = -13*l**2 + 4*l + 9. Let r(c) = -7*c**2 + 2*c + 5. Let q = -187 + 190. Suppose -23*i - q = -22*i. Determine i*d(s) + 5*r(s).\nAnswer: 4*s**2 - 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) be the first derivative of -4*p**4 - 23*p + 1 + 3 + 1. Find the first derivative of l(s) wrt s.\nAnswer: -48*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = 4*i**3 + 154*i**2 + 65*i - 411. Determine r(-38).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -337 - -352 - (3 + -7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:42 PM and 2:07 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = -15*w**3 + 11*w**2 - 9*w - 7. Let p(z) = 13*z**3 - 10*z**2 + 9*z + 6. Calculate -4*o(h) - 5*p(h).\nAnswer: -5*h**3 + 6*h**2 - 9*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Determine w so that -4*w**3\/3 + 2420*w**2\/3 - 42392*w\/3 + 75136\/3 = 0.\nAnswer: 2, 16, 587","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*h + 4*s + 16, 2*s = h - 1 - 7. Let a = h + 5. Suppose a = j, 0 = c - 3*j - 2 + 11. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 185704272 by -86.\nAnswer: -2159352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1377) + -1*sqrt(1377))*-5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3.4819 or 0.1?\nAnswer: -3.4819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round 42 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round -2106978 to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate (9\/(-6))\/((-4)\/(-8)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*w - 13*c + 14*c - 11, 5*c = -2*w + 1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000033 to seven dps.\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 3239213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w = -4 + 4. Let o(x) = -x**2 + 7*x + 1. Let i be 9\/(3\/(-1)) - 10. Let c(t) = 2*t**2 - 15*t - 3. Let d(j) = i*o(j) - 6*c(j). Calculate d(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**(-3\/5)*j*j*j)**(-8\/7)\/(j\/j**(-4))**(-49) assuming j is positive.\nAnswer: j**(8479\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort -1193, -1, -3, 2, 5 in descending order.\nAnswer: 5, 2, -1, -3, -1193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let 4*h**4 + 9832*h**3 + 6064480*h**2 + 59909400*h + 149161500 = 0. What is h?\nAnswer: -1305, -1143, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t - 3 = 7. Suppose k - 7 = t*q, 0*k - 3*q - 9 = -3*k. Solve -12 = -2*z - 2*c, -3*z - 2*c = k*c - 22 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 11\/4 or 191?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/3? (a) -4\/7 (b) 3\/34 (c) 1 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -455 = -5*a + 5*w, 7*a - 298 = 4*a - 2*w. Does 4 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: (8\/(-2))\/(-8)*(-6)\/15\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) be the third derivative of l**5\/20 + 7*l**4\/24 + l**3 - l**2. Let y be 55\/(-22)*(-2)\/(-1). Does 17 divide a(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -282 or -217?\nAnswer: -282","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00448 rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Work out -133534 * 0.3.\nAnswer: -40060.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 3.449 rounded to one dp?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) be the first derivative of x**4\/4 - 7*x**3\/3 + x**2\/2 - 5*x - 4. Let i be t(7). Find the second derivative of 56 - 56 + i*v**3 + v wrt v.\nAnswer: 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 33970?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -85\/22 and 99\/202?\nAnswer: 2222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n = -969602 + 513923. Let i = n + 455678.99000002. Let v = i - -0.01. Round v to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -4230\/11 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -36992725, -73985466, -110978205, -147970942, -184963677?\n\"Answer: z**2 - 36992744*z + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3173369?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -1437*a + 1439*a - 5*u - 2 = 0, 2*u = -3*a - 35 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1989 - -1992. What is the closest to 0 in g, -1, -11, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 2\/(-17) - (-9 + (-320)\/(-170)). Suppose -a*m + 6 = -64. Solve 0*b + 5*b = -m for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = -n**2 + 18*n + 5. Let r(d) = 5*d**2 + d. Let v be r(-2). Let l be k(v). Let u = -6 + 5.9. What is the closest to u in 0.4, 1\/6, l?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/5, 14.9, 6.\nAnswer: -1\/5, 6, 14.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 96559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -18459943*d**4 + d**2 - 3332400*d + 3.\nAnswer: -443038632*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -2410, -2415, -2424, -2437, -2454?\n\"Answer: -2*z**2 + z - 2409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = -12*r - 19. Let c be 7 - 18 - (14 + -20). What is q(c)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 528912550?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2 - -5. Suppose -2*y + 4200008 = -p*s, 0 = -s - 3*y + 2*y - 1399996. Round s to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(21) + sqrt(42)\/sqrt(2))*-2 + sqrt(21))\/sqrt(7) - sqrt(12)\/(sqrt(4) + 6*sqrt(100)).\nAnswer: -94*sqrt(3)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = -5*b**2. Let u be ((-3)\/2)\/(0 + 1\/(-14)). Suppose u*l - 26*l + 10 = 0. Let t(r) = 5*r - 2*r - 2*r - l*r. Give d(t(q)).\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b be -2 + (6 - 1) + -1. Suppose -b - 5 = -z. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = 4*u**2. Let k(q) = q + 9. What is k(v(a))?\nAnswer: 4*a**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 11 minutes after 7:05 AM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*r + 4*m - 20, m - 6*m + 25 = 3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j = -184 + 199. Calculate the lowest common multiple of 135 and j.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 611, 2388, 5357, 9524, 14895, 21476?\nAnswer: 29273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -1.324679131 + 109.85\nAnswer: 108.525320869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of 3051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 28 = -5*n + 33 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 46141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -66*x + 44766 = -12*x. What are the prime factors of x?\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -258 = -10*q - 118. Suppose -f + 2*f = -2*s + 18, -5*f + 2*s = -114. Calculate the smallest common multiple of q and f.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-18)\/10)\/(15\/(-50)). Let b = c - 3. What is the first derivative of -7 - 3*q**b - 6*q**3 + 3 wrt q?\nAnswer: -27*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = -2*j + 3 - 4 - j. Let c be i(-7). Let f be 187 - 4 - (2 + 1). Calculate the greatest common factor of c and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 1.6 - -136214465654.\nAnswer: 136214465655.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = l**2 + 11 - 2 - 9. Suppose 2*z + 1 = 3*v - 1, 0 = -v - 3*z + 8. Let m(o) = 4*o**2 - 57*o**v + 15*o**2. Determine m(k(p)).\nAnswer: -38*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*f + 0*f + 7*f + (0*f + 0*f + f)*(-1 + 1 + 2))*(-1 + 3 - 3) in the form w*f + t and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = -9*x**2. Let p be 257 - (-4 - (3 - 1)). Let t(j) = -263*j + 5*j**2 + p*j. Determine t(h(u)).\nAnswer: 405*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 77658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = c + 5. Let f be q(-4). Let u = -1033\/21 + 349\/7. Let b = 3 + -5. What is the smallest value in f, b, u?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3, 9, 27, 51, 81, 117, 159?\nAnswer: 207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -794530*x**3 - 10*x - 7*x**2 + 6*x**2 + 10*x.\nAnswer: -794530*x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Divide -168642 by 54.\nAnswer: -3123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 49 minutes before 2:23 PM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-9 + 9 - o)*(-2 + 2 - 8*o).\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = 5*o - 1. Let u be m(1). Suppose -y + u*y + 9 = 0. Which is the biggest value? (a) y (b) -0.1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = r**3 - 3*r**2 - 2. Let u(l) = -l**3 + 4*l**2 + 2. Let b = -17 - -20. What is b*u(h) + 4*k(h)?\nAnswer: h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-1 - 65\/(-25))*-5. Let l be (-2)\/(-1)*(-4)\/32. What is the nearest to 2\/9 in l, 4\/5, r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 98870704?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} {"text":"Question: What is the value of (77\/2)\/((((-10)\/(-125))\/(-2))\/((-220)\/2750))?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-6)\/4 - (-35)\/(-90). Let y = 14\/9 + d. Let z = -0.7 + -3.3. Sort z, 2\/7, y.\nAnswer: z, y, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -49*i - 205 = -283 + 911 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*l = 5*t + 16, -t - 9220*l = -9225*l - 13 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 x when two letters picked without replacement from ixixx?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = -f**3 - f**2 - f + 1. Calculate the least common multiple of 94 and h(-3).\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -47 + 267628?\nAnswer: 267591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express 53*a**3 + 1419*a**2 + 2421*a**2 - 34*a**3 - 20*a**3 as j + c*a**3 + m*a**2 + k*a and give m.\nAnswer: 3840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: Evaluate (-6)\/24*(-136)\/102.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z - 3*k = -11, 2*z + k = 6 + 7. Solve -4*u - 2*j = -26, 4*u - 5*j = z - 2 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 divided by 135110?\nAnswer: -3\/135110","meta":{"dup_signals":{},"source":"arithmetic__div_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: 552\/920 - ((1 - (-635)\/(-25)) + -1 + 3)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) be the first derivative of 3*k**2\/2 + k + 4. Let v be t(1). Suppose j - 4*q = 13, -4*q + 47 = v*j - 65. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 3449207, 6898419, 10347657, 13796933, 17246259, 20695647, 24145109, 27594657?\nAnswer: 31044303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 46 and 6394?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 26*d*v**5 + 5*d*v**2 - d*v - d + 528*v wrt v?\nAnswer: 520*d*v**3 + 10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = l - 1. Let a(r) = -8*r + 6. Let k(o) = -a(o) - 6*f(o). Let i(h) = -11*h**2. Give k(i(c)).\nAnswer: -22*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -6*n**2 - 6*n + 53 + 7*n - 121 - 4*n**2 wrt n.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qqnm. Give prob of sequence qn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 128032211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -17328*s + 1708*s - 246*s.\nAnswer: -15866*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 14.778 in 4, 9, 2\/33?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1680 - -1679.998633. What is m rounded to five dps?\nAnswer: -0.00137","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in 152, -4, 25, -58, -2\/9, -0.2?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 145 and 5445649.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 98104988?\nAnswer: 2, 193, 127079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 29\/(638\/44) - -296067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 23 divide (-1)\/(5\/(-280)) - (0 - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -495503, -991011, -1486529, -1982063, -2477619, -2973203, -3468821, -3964479?\nAnswer: -4460183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 6479815?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y = -618 - -718. Suppose 97*z + 6 = y*z. What is the second biggest value in -2\/25, -2, z?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j + 3*h = 2*j, 5 = -5*j - 5*h. Let y(o) = -o**3 - 2*o**2 + 3*o - 2. What is y(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1176 is divided by 1176?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 + 2*w**2 - 5)*(-5*w + 2*w + 0*w)*(-106*w**2 + 712*w + 640*w + 108*w**2).\nAnswer: -12*w**5 - 8112*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4 + 9346*h + 17297*h + 4 - 35573*h to the form x + a*h and give a.\nAnswer: -8930","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1723370836?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d = -279 + 284. Let v(u) = 2*u - 1. Let c be v(0). Let q be c\/6 + (-21)\/(-54). Which is smaller: d or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -52*s + 368169 - 235545 + 388312 = 0. What are the prime factors of s?\nAnswer: 2, 5009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -129? (a) 37 (b) -1\/25 (c) -69\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -0.4 take away -47993745?\nAnswer: 47993744.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = -14*w**2 + 18*w - 14. Let m(f) = 3*f**2 - f. Let a(x) = -g(x) - 5*m(x). Factor a(b).\nAnswer: -(b - 1)*(b + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.2, 6, 0.2, 3\/2, -4, -80\/7 in decreasing order.\nAnswer: 6, 3\/2, 0.2, -0.2, -4, -80\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s = -3399 - -16993\/5. Which is the closest to -0.1? (a) -1 (b) 5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 2*u**2 + 2)*(58 + 10*u - 58 + (-1 - 2*u + 1)*(-4 - 1 + 3) - u + 0*u - u + 0*u + 2*u - 7*u).\nAnswer: 14*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 288801505?\nAnswer: 5, 53, 73, 14929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*s = -2*s - 2*l - 25, -5*l = 2*s + 19. Let g(u) = 4*u - 5. Let j be g(s). Suppose 2 = 4*v + 6, -2*v + j = -3*q. Sort 5, -2, q in decreasing order.\nAnswer: 5, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1717636? (a) 1.4 (b) -5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 3160 a multiple of 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2727779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h**(-6)*h*h**(-3\/7))**(-46))**(-4\/21) assuming h is positive.\nAnswer: h**(-6992\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 3 - 0 - (1 - 0)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = 2*y**2. Let t be q(1). Factor 2\/7*x + 10\/7*x**3 + 0 + 4\/7*x**4 + 8\/7*x**t.\nAnswer: 2*x*(x + 1)**2*(2*x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 95891.2*-1\nAnswer: -95891.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-5)\/30)\/((-24)\/8208*-19).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) be the first derivative of -21 + 37\/2*q**2 - 11*q. What is the first derivative of l(j) wrt j?\nAnswer: 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 3 (b) 149.23 (c) -2\/25 (d) 0.07 (e) 5 (f) 23\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = c**3 - 9*c**2 - 11*c - 6. Let m be a(11). Suppose -q + m - 39 = 0. Is 19 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 1, l: 1, n: 2, x: 1, v: 2, t: 2}. Give prob of sequence xn.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u - 35 = -19. Suppose -5*l - 43 = -4*f, -4*f + 37 + 36 = l. Let r = f + u. What are the prime factors of r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) be the third derivative of u**6\/40 + 19*u**5\/10 + 73*u**4\/8 + 18*u**3 + 3*u**2 - 58. Factor l(q).\nAnswer: 3*(q + 1)**2*(q + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -2*y**2 - 2*y + 1. Let p(b) be the third derivative of -7*b**5\/60 - 5*b**4\/24 + b**3\/2 + 1501*b**2. What is 4*p(j) - 11*q(j)?\nAnswer: -6*j**2 + 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} {"text":"Question: Let r(d) = -25*d - 14*d**3 + 2 + 7*d**2 - 41*d**2 - 7. Let t(l) = 59*l**3 - 60*l**3 - 16*l**2 + 15*l**2. Let m(a) = r(a) + t(a). Factor m(b).\nAnswer: -5*(b + 1)**2*(3*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 3\/5 of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = -z**3 - 6*z**2 + 3*z - 9. Let b(r) = -34*r + 130. Let p be b(4). Determine k(p).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -16.95 + 16.75. What is the nearest to c in 3, 2, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 4116 and 187971?\nAnswer: 36842316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = c**2. Suppose 2*g = -4*n + 34, 3*n - 22 = -2*g + g. Let u = g - 7. Let p(w) = w**2 + u*w**2 + w**2. Determine t(p(a)).\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from wyyyxwwtytwywytyx. Give prob of sequence yyt.\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = 120*p**2 + 127*p + 35. Is 14 a factor of g(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:43 PM and 12:45 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2209 - -2209. Let c(s) = s**3 + 4*s**2 + s - 1. Let p be c(-4). What is the nearest to q in -1, p, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1.075 - 0.075. Which is the nearest to 0? (a) 3\/64 (b) 1\/5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ed when two letters picked without replacement from nldleeinee?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 391, 535, 679?\n\"Answer: 144*s + 247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-9)\/(9\/(-4)))\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) be the third derivative of -w**5\/270 - 167*w**4\/9 - 111556*w**3\/3 + 1307*w**2 + 4*w - 1. Determine m, given that x(m) = 0.\nAnswer: -1002","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 t and 1 i when four letters picked without replacement from tttitit.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = 6*x + 1. Let o be h(-4). Let r = o + -21. Let n = r - -64. What is the remainder when 39 is divided by n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -6 - -14. Suppose -2*h + 4*q = -92, 5*q = 5*h + 3*q - 270. Calculate the greatest common divisor of h and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 131\/6 and 43\/22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v = 64 - 63. What are the prime factors of 1461*(v + 5)\/12?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(-2 + (sqrt(405)*1*1 - sqrt(405) - sqrt(405))*2*-6))**2*2.\nAnswer: -13824*sqrt(5) + 1866368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 733 divided by -3\nAnswer: -733\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 33578 is divided by 167.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-seven fifths of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-2)\/(-4))\/((-2)\/4). Suppose 3*k - q - q + 1 = 0, 5*q + 20 = 0. Sort k, h, -5 in decreasing order.\nAnswer: h, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 39.3 + 5.7. Let u = d + -44. Which is the nearest to u? (a) -0.4 (b) -2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2099, 2885, 961, -5029, -16441, -34631, -60955, -96769?\nAnswer: -143429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -33*a**2 - 73605 - 73611 - 73601 + 220817.\nAnswer: -33*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 36 + -10 + (-35)\/((-42)\/(-6)) is divided by 4\/(-14) - (-51)\/7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve r**4 - 201020*r**3\/3 + 134011*r**2\/3 + 67006*r\/3 = 0 for r.\nAnswer: -1\/3, 0, 1, 67006","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.034*1.47.\nAnswer: -0.04998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is (-10176)\/(-201135) + (-4)\/46?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -2101 - -22220020?\nAnswer: 22210212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h*h*h*h**(1\/2)*h*h)**(-44)*h**(-1\/5)*h\/((h**(-5)*h)\/h) assuming h is positive.\nAnswer: h**(-1181\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = b - 2*i - 2, 2*b - 3*i + i = 6 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 12754?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = y + 1. Let c(i) = -2*i**2 - 6*i - 1. Determine c(z) + 6*o(z).\nAnswer: -2*z**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u be (0\/(-12 + 6))\/(-1). Let l(s) be the third derivative of s**2 + 1\/6*s**3 + 0*s + u - 1\/480*s**6 + 1\/48*s**5 - 1\/12*s**4. Factor l(g).\nAnswer: -(g - 2)**2*(g - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(275) - (sqrt(275) - (0 + sqrt(275))))*-3)**2.\nAnswer: 2475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 2318242 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f be 1*4\/4 + 11. Let h = 15 - f. Suppose h*q + 11 = 8. Which is the third biggest value? (a) 1 (b) -0.4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = 13*m**2 + 29*m + 134. Let b be p(-4). Let f = 236 - b. Solve 2*u - f = -4 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (16 - 13) + 3\/(-3). Suppose -8\/7 - 52\/7*o - 44\/7*o**r = 0. Calculate o.\nAnswer: -1, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 114569, 458287, 1031151, 1833161, 2864317?\nAnswer: 4124619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 = 5*a + 2*d - 4*d, 4*a - 12 = -2*d. Let p = 0.51 - 0.41. What is the nearest to 0 in a, p, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = 16*d + 38. Let s(l) = 2*l + 5. What is 4*c(n) - 28*s(n)?\nAnswer: 8*n + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u = -5*d + 116 - 36, -3*u - 13*d + 58 = 0. Solve -74 = u*v + 31 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.0047? (a) 0.1 (b) 31 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 262336, 524613, 786890, 1049167?\nAnswer: 1311444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x = -2 - -5. Let v = -18 - -22. Let h be -1 + 2\/13 + 220\/260. Which is the smallest value? (a) x (b) v (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xxkxkwwwwwwwkxwxwwk. Give prob of picking 2 w.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 26526.\nAnswer: 2, 3, 4421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -887, -3209, -6993, -12275, -19091, -27477, -37469?\n\"Answer: -6*s**3 - 695*s**2 - 195*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -131\/440 and -21\/704.\nAnswer: 3520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + (-11 - -6) - (-2 + 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -34*i**2*l + 3*i**2 + i*l - 9*l + 15 wrt i?\nAnswer: -68*i*l + 6*i + l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 72679459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -3713, -7208, -10485, -13550, -16409, -19068, -21533, -23810?\n\"Answer: -x**3 + 115*x**2 - 3833*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*c - k - 19 + 7, -k - 7 = 2*c. Let r(u) be the first derivative of -2*u**4 - 5*u + 1. Let h(s) = -39*s**3 - 24. Give c*h(x) + 24*r(x).\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 1519*a = 1518*a + 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 0.6, -1, -2, 0.5135?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Does 25 divide 32048498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c**3 - 8*c**2 - 13*c\/2 - 3\/2 = 0. What is c?\nAnswer: -3, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w = 143 + -96. Suppose -48*o = -w*o + 111. Is o bigger than -112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 6, q: 6}. What is prob of sequence qqj?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -45\/4 and 52\/321.\nAnswer: 1284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 819379?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*w + 2*w + 0*w)*(1 - 1 + 1) - 2*w + 16 - 4 + 12.\nAnswer: -4*w + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = -12*q**4 - 2*q**3 - 3*q + 2. Let f(r) = r**3 + r - 1. Let x = 48 - 46. Let h(v) = x*f(v) + t(v). What is the second derivative of h(c) wrt c?\nAnswer: -144*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -5771 divided by -3\nAnswer: 5771\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -48817856 rounded to the nearest 10000?\nAnswer: -48820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -3648, -15170, -34594, -61944, -97244, -140518?\nAnswer: -191790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 684 and 372?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 575160689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 + 1 + 1 + c**2 + 2.\nAnswer: c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose r + 20 = -4*r. What is the units digit of (3\/6)\/(r\/(-56))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: (((-528)\/(-112))\/(-11))\/(52\/91)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {e: 8, k: 5, l: 1, h: 2, q: 1, t: 3}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 30107311 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*m - 1825 = 26*r, -1076*m + 1071*m - 3*r - 215 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 3714719 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 5, -1, -2305 in increasing order.\nAnswer: -2305, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*p - 6*p + 4*p)*((-2*p - 1 + 1)*(2 + 4 - 4) + (0*p + 0*p + p)*(0 - 2 + 1)).\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 9 and 3879.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-14)\/(-4)*(-8)\/(-14). What is the third derivative of k**2 - 4*k**3 + 0*k**g + 2*k**3 - 4*k**2 wrt k?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -34a (base 14) in base 2?\nAnswer: -1010001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert -e056 (base 16) to base 6.\nAnswer: -1121514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 4882931502 to the nearest integer?\nAnswer: 69878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 952 and 357?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 91 + 2*o**2 - 53 + 2*o**3 - 35 + 3*o to u*o**2 + l + f*o**3 + k*o and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a = -7 + 13. Let v be 62\/12 + (-1)\/a. Put -5, v, 4 in increasing order.\nAnswer: -5, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2 - 0. Suppose -5*h + 5*v - v = -20, 0 = -h + 2*v + 10. What is the remainder when (-18)\/d + h\/(-4) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -497 - -871. Is 11 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -82, -86, -90?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (8\/10)\/((-48)\/(-40))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-10)\/12*6\/20*787\/(-10231)?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(288)*-1 + -1 - (sqrt(288) + sqrt(288)*1 + -1)) + 1)**2.\nAnswer: -72*sqrt(2) + 2593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -101 = -4*q - a, q + 3*a = -a + 14. Calculate the remainder when q is divided by -3 + (-90)\/50*(-10)\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in six fifths of a kilometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p = -692.4 - -692.5. Which is the nearest to -1? (a) -2 (b) 0.2 (c) p (d) 0.22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = r + t, r + 9 = -0*r - 4*t. Suppose -r*h = 2*g - 1911 + 200, h - g - 572 = 0. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = c**3 - 15*c**2 + 12*c + 8. What is b(14)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wwqq when four letters picked without replacement from eqsleswqsewqsqes.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express (0 + 0 - 3*d)*(-11*d**3 + 18*d**3 + 7 - 10*d**3) in the form n + q*d + o*d**2 + g*d**3 + u*d**4 and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b = -26 - -25.99999998. What is b rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = -18*r**3 + 612*r**2 - r + 37. Let h be u(34). Sort 0.06, -25, h, -0.4 in decreasing order.\nAnswer: h, 0.06, -0.4, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 265451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-1)\/(-7) - 1)\/((-8)\/(-56)). Let c(n) = -25664*n + 17. Let s be c(t). Let r be s - (6\/(-4)*-2 + -2). What is r rounded to the nearest ten thousand?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 2353, 4595, 6837, 9079, 11321?\n\"Answer: 2242*j + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 4853?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((g*g*g**(-13))\/(((g**(-6)*g)\/g)\/g))\/((g**(2\/17)\/g)\/g**(-2\/9)))**(3\/5) assuming g is positive.\nAnswer: g**(-511\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d = -5 - -5. Suppose m + 2*m - 33 = d. Let u = 24 - m. List the prime factors of u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 36693306 and 236223?\nAnswer: 110079918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = -77*d - 168. Calculate the remainder when u(-8) is divided by 76.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ggk. What is prob of picking 2 g?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 3 - 3)*(0*v + v - 3*v) + (4 + 3 - 6)*(4*v + 7*v - v) + 2*v - v + 2*v.\nAnswer: 11*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express -271*m - 262*m - 269*m + 1064*m - 265*m + 1120 as w*m + x and give x.\nAnswer: 1120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wcadwdwsdcdwwdcwss. What is prob of sequence dd?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Divide -6 by 3590.\nAnswer: -3\/1795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is next in -125, -142, -179, -236, -313, -410, -527?\nAnswer: -664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve a - 3*i - 28 = 0, 45*a - 48*a = 2*i + 15 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -2022 (base 5) in base 6?\nAnswer: -1114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide 305772350 by -337870.\nAnswer: -905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1924?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = 4*r**3 + r**2 - 2*r + 1. Let f be w(1). Suppose -f*k = -20 + 12. Solve 1 - 3 = k*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -10100 (base 3) to base 9.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (225\/(-84) - 135\/(-315))*13\/(78\/152)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Total of 22775.10305 and -0.4.\nAnswer: 22774.70305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 1164041 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-3 - -3) + (-6)\/(-1) + -3. Find the first derivative of -3 - 2113*t**3 - 3 + 2082*t**c wrt t.\nAnswer: -93*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be -1 - (-3)\/3*-1. Let f be -5*(-1)\/o*2. Let g = -24 - -24. Sort g, f, 1 in descending order.\nAnswer: 1, g, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 15707249.\nAnswer: 15707249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 3360 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 1106*l + 123427 + 104262 = -1851*l for l.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q be 284\/8 + (-3)\/2. Let y = -19 + q. Does 5 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 3*c - c + 37 + 2 + (3 - 4 + 0)*(-c - 4*c - 9*c) in the form m*c + t and give t.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m = 18056 - 10406. Let y = m - 2185. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-2652951)\/532)\/(-183))\/((-7)\/28).\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qlqqqqqqqlqqq. Give prob of sequence qq.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 581 minutes after 7:21 AM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f = 6 - 6. Suppose -3*k + 3 = 0, f = -w + 2*k + 3*k + 20. Is w a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 51424120453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1542 + 75*y**2 - 2*y**4 + 42*y**2 - 1551 + 3094 - 2*y to the form t*y**2 + x*y + o*y**3 + j + k*y**4 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -730231, -729552, -728413, -726808, -724731, -722176?\n\"Answer: o**3 + 224*o**2 - 730456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = 2*g - 0. Calculate the highest common divisor of 2 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*o - 3*o - 2*o)*(-o + 3*o + 0*o) + 0*o**2 + 2*o**2 - o**2 + 7*o**2 + 7 - 7 - o**2 - 2*o**2 + 2*o**2 + (-2 + 2 - 3*o)*(0*o - 5*o + 4*o).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 821665 is divided by 14164.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1563*g - 4*g**2 - 3146*g + 4 + 1633*g.\nAnswer: -4*g**2 + 50*g + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 50 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o - 3*t = -1 + 7, -4*o = 5*t + 12. Let b(i) be the second derivative of 0 + 1\/2*i**3 + 7*i + 1\/2*i**2. Calculate b(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -8 - -14. Let q be (-10)\/(-2) - a\/6. Suppose 15*v - 17*v + q = 0. Solve 4 = -v*u + 4*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -437483*m - 8820 = -437777*m for m.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand -70*m**2 - 4155*m + 8303*m - 4149*m + (-2 + m + 2)*(-3*m + 4*m - 3*m).\nAnswer: -72*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k = 306 - -202. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5 - 5 + 1418*d.\nAnswer: 1418*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 123 divide 13161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i*i**(-11)*i)**(-49)\/(i**(-1\/5)\/i*i)**13 assuming i is positive.\nAnswer: i**(2218\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 669543012 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y = 4318 - 4318.02883. Round y to 3 dps.\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = 2*q**2. Suppose 0 = 3*c - 4*c + 6. Let h(a) = -c*a**2 + a + 13*a - a**2 + 4*a**2. Determine h(g(v)).\nAnswer: -12*v**4 + 28*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g = 107 - 98.3. Let n = 34.3 + g. Let d = 42.9981 - n. What is d rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:30 PM and 5:47 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 463.866 times 24.8?\nAnswer: 11503.8768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) -0.1 (b) 7 (c) -35.394 (d) -3 (e) 2\/5 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -719.8 and 0.3?\nAnswer: -215.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h = -3 + 5. Let s(g) = -g + g - g**h. Let t(i) = -5*i - 510. Let q(w) = 11*w + 1275. Let x(j) = -2*q(j) - 5*t(j). Calculate x(s(y)).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-2*v**2 - 2*v**2 + 0*v**2)*(-6 + 1 + 0) - v**2 - v**2 + 4*v**2)*(-v + 0*v - v)*(6*v**2 - 24*v**2 - 5*v**2).\nAnswer: 1012*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f = 164 + -101. Let b be 2 - -1*(-38)\/(-2). Calculate the greatest common factor of f and b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 10 and 4610440?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -34312434 (base 5) in base 13?\nAnswer: -a9b02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2835792563?\nAnswer: 2835792563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/3 in 4, 17, -5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q = 2*r + r + 3, -r = q + 1. Solve q = -0*k - 3*k - 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = -t**3 - 6*t**2 + 3*t. Let k = 5 - 1. Let w = k - 7. Let r be -1*(w - (2 - 0)). Let h(o) = o**3 + 5*o**2 - 2*o. What is r*h(f) + 4*v(f)?\nAnswer: f**3 + f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jujpiuudpuoi. What is prob of sequence dp?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find k, given that -19*k**3 + 5527*k**2 - 10400*k - 1156 = 0.\nAnswer: -2\/19, 2, 289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 474 minutes after 11:38 AM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -30*w + 186 = 32*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*v = 4 + 9. Let s(w) = w**3 + 3*w**2 + 3*w + 1. Let h be s(v). Solve 3*o + h = 5*m + 13, m + 1 = o for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be -20 + (-1 - -2) - 1. Let a = 723 - 396. What are the prime factors of 5\/z + a\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 143.04 less than -1295?\nAnswer: -1438.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/5? (a) -0.1 (b) -4 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 231732284 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 5531231975 to the nearest integer?\nAnswer: 74372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c = -810779\/648 + 10007\/8. Let g = -1851\/574 - -100\/41. Calculate the common denominator of c and g.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -54 by 4282.\nAnswer: -27\/2141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(99) - (-3*sqrt(99) - sqrt(99) - sqrt(99)))*5 + sqrt(99))\/((sqrt(9) + sqrt(81) - sqrt(9))*-1).\nAnswer: -31*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 27*v - 12 = 21*v. Solve -v*p + p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -3 + -1b5b953?\nAnswer: -1b5b956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h = -4609 + 4606. Which is the closest to 2\/7? (a) 0 (b) h (c) 0.1 (d) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-1 + 1 - 1)*(3 + 1 - 3) - 2 - 1 + 2 + 3 - 2 - 2 - 4 + 3 + 2)*(0*y**5 + y**5 - 4*y**5).\nAnswer: 6*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = 8*m**2 - 16*m. What is the remainder when 132 is divided by f(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1805358 and 174.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = -2*c - 3. Let g be (-2)\/c*1*-6. Let m = g - -14. What is the remainder when m is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 583 minutes after 9:46 PM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s be 1\/2*-2*-1. Suppose 0 = 3*v - 6, x + 5*v + s - 62 = 0. List the prime factors of x.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-3 - 6 + 1)*(-1 + 2*k + 1) in the form c*k + s and give c.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 4167064, 4167096, 4167128, 4167160?\n\"Answer: 32*n + 4167032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2795557*p**2 + 2795555*p**2 + 2795567*p**2 - 11182229*p**2 + 2795548*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -t**2 + 6*t - 4. Let i(a) = -a - 4. Let o be i(-6). Suppose -n = o*n - 12. Is 2 a factor of p(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*u**4\/7 - 166664*u**3\/7 - 1736555476*u**2\/7 - 10414833360*u\/7 - 15620000400\/7.\nAnswer: -4*(u + 3)**2*(u + 20830)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-1368)\/(-135) + 2\/(-15). Suppose 5*n = j*n - 7795. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*-3*sqrt(19)*-2*4 + (sqrt(931) - 4*sqrt(931))*5*2.\nAnswer: -258*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) be the third derivative of y**7\/945 - y**6\/135 + 2*y**5\/135 + 4*y**2. Find i, given that w(i) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z + 4*t - 16 = -3*z, 5*z - 4*t - 40 = 0. Let k be 2\/z - (-33)\/12. Suppose -k*h = 2*o - 35, -4*o = -2*h - 3*h + 51. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 248440380 to the nearest 100000.\nAnswer: 248400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = 6*h**3 - 161*h - 530. What is v(-3)?\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1681\/9 - 187. Let b = -239\/3 + 80. What is the second biggest value in p, -1\/6, b?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1176)*-1*-2 + (-5*sqrt(1176)*2 - sqrt(1176)) + sqrt(1176))\/(sqrt(1296)\/sqrt(3) - -2*sqrt(12)*6).\nAnswer: -28*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z + 2*b = 4375, -4*z + 3*b + 354 + 3123 = 0. Suppose 2*r - z = -51. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1785427 is divided by 86?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = i**2 - 90*i - 1 + 85*i - 2*i**2 + 0. Let r(v) = -2*v + 7. Let j(l) = -3*l + 10. Let s(g) = 5*j(g) - 7*r(g). Let m be s(4). Determine a(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -143709 times 826\nAnswer: -118703634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 y, 1 p, and 1 v when four letters picked without replacement from ypoyifvyviv?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 122 divide 4246942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/117, -20, 0.5, -0.8.\nAnswer: -20, -0.8, 2\/117, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify c**(-4\/11)\/(c**(-11)*c)*c**(-38)\/c**(24\/7) assuming c is positive.\nAnswer: c**(-2448\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = -n**3 + n. Let j(w) = 4*w**3 + 15*w**2 - 5*w - 11. Let x(d) = j(d) + 3*u(d). Let v be x(-14). Let p be 1493\/v + -5 + -2. Does p = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-5610)\/(-99)*96\/(-272)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*c + 3*f = -5*c + 723, 3*c = -3*f + 435. Let i = 153 - c. Solve g - 4 = -i for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 38 divided by 6\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = -9*p. Let q = -7 - -22. Let d(l) = q - 18 + 3 + 6*l. What is a(d(x))?\nAnswer: -54*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = 3*j - 46. Let v be o(19). Suppose 16 = v*r - 7*r. Suppose 5*p = -5*w + 1500, -3*w - r*p + 901 = -0*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve s - 42 = 2*s - 7*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -371*a**3 + 57*a - 77183 wrt a.\nAnswer: -1113*a**2 + 57","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m*m\/(m**(-3)*m))**(-2\/19))**20 assuming m is positive.\nAnswer: m**(-160\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = d - 3*y + 3, 6*d + 4*y - 5 = 7*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2333\/21 - -111. Let w = -2\/61 + -116\/183. Let r = w - k. Which is the biggest value? (a) 4 (b) r (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 3\/5 of a meter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -5508130, -5508153, -5508178, -5508205, -5508234?\n\"Answer: -u**2 - 20*u - 5508109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 2799 = 10*b + 142*b - 25*b - 1138 for b.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 7372*k**4 - k**3 - 2*k**2 + 34305*k wrt k.\nAnswer: 88464*k**2 - 6*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -39*c**2 - 6*c.\nAnswer: -3*c*(13*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2515, 2518, 2515, 2500, 2467, 2410, 2323?\nAnswer: 2200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 0 - -36822?\nAnswer: 36822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8*((-8)\/2)\/(-56).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = 159 - 159.072. Let c = 3280 - 3276. Put y, 4\/3, 0.2, c in ascending order.\nAnswer: y, 0.2, 4\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 445 - 441. Let r = 131\/144 - 11\/16. Which is the fourth biggest value? (a) -0.1 (b) 0.11 (c) o (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {y: 2, f: 5, l: 2, b: 1, n: 8, m: 2}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o - 8 = -3*o, 3*b - 4*o = 13. Is -1 not equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = 2*a**2 - 2535*a - 5084. Determine x(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) be the second derivative of -z**5\/120 - z**3\/3 - 36*z**2 + 250*z. Let j(c) be the second derivative of t(c). Let l(x) = -19*x**2. What is j(l(m))?\nAnswer: 19*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is (-1*1 - 0)\/(8\/(-1776)) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 144\/(-28)*(-28)\/8. Let r = y + 6. Solve r*a = 21*a + 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = -10*b - 1. Let h(c) = -2*c. Determine -11*h(f) + 2*w(f).\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-5 - -13) + -32 + 45.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2 - -16. What is the remainder when 112 is divided by 230\/6 - (k\/3)\/(-7)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 4820*l**3*z + 1034*l**2*z**3 - 3*l + 404*z**3 - 31*z**2 - 39*z - 8 wrt l?\nAnswer: 14460*l**2*z + 2068*l*z**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = 2*k**3 + k**2 - 2*k. Let i be (-246)\/(-21) - 4\/(-14). Suppose 2*l + i = 5*y, -3*y - 2*l = 9 - 29. What is the least common multiple of v(2) and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 7.349526 weeks to milliseconds.\nAnswer: 4444993324.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h = 5*c - 2295, -2*c - 2*h + 1121 - 209 = 0. What is the remainder when c is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h - 96 = -2*x, 5*h - 2 = 2*x - 116. Which is the third biggest value? (a) 0.3 (b) x (c) -4 (d) -3 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 681 minutes after 4:48 PM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l = -l - 8. Let b(d) = 0 + d**3 - 4*d - 3 + 3. Let n(g) = g + 1. Let h(f) = 5*f + 3. Let q(s) = h(s) - 3*n(s). Determine l*b(x) + 5*q(x).\nAnswer: 2*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o = -614 - -1669. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 g and 1 l when two letters picked without replacement from {g: 6, l: 2, b: 1, d: 2, f: 4, z: 2}.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -250697 + 4*t**3 + 2*t**3 + 125349 + 125342.\nAnswer: 6*t**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22 = -37*g + 170. What is the nearest to -25 in 2\/5, 2, g?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = -5*c - 21. Let s(d) = -2*d + 1. Let v(u) = 3*u - 7. Let m(o) = 2*s(o) + v(o). Suppose -3*q + 9 = -2*g - g, 2*q + 19 = -3*g. What is q*x(f) + 9*m(f)?\nAnswer: f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = -3*n + 47. Let p = -10 + n. Suppose p*h + q = -q + 46, -4*q - 18 = -3*h. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 + 2*g - 4)*(24*g + 21*g + 13*g) + 4*g + g**2 + 2*g - g.\nAnswer: 117*g**2 + 5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate -40*(-1)\/(-40)*(-2)\/(-8)*(3 - 2).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 59\/(-118)*(-8)\/38?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = -y**2 + 543*y + 25750. Determine o(-47).\nAnswer: -1980","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b + 19 - 7 = 0. What is the second derivative of 2*t + 2*t**b + 0*t + t**3 wrt t?\nAnswer: 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -226, -940, -249 in increasing order.\nAnswer: -940, -249, -226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 101 + 110111?\nAnswer: 111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = -5*v + 246. Determine u(50).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1.19 + 7.81. What is the fourth smallest value in -3, -1\/3, -0.1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1768*d - 1966*d - 82148 = 0 for d.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 142477033 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g - 448 + 33 = 0. List the prime factors of g.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -2\/1135 (b) 2\/69 (c) 0.4 (d) 2\/35 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a be -1 + -5*((-64)\/20 - -2). What is the nearest to 2\/7 in a, -2\/15, 3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 1297447*k*y**2 - 993554*k*y + 2*y**2 + 6*y wrt y?\nAnswer: 2594894*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:40 PM and 7:26 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 102, 172, 288, 450, 658?\n\"Answer: 23*q**2 + q + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 725070 a multiple of 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -5\/81 and -41\/1971.\nAnswer: 5913","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i = 12.439 + -0.489. Let b = i + 0.05. Suppose 4029 + 4281 = 4155*r. Sort b, -0.1, -3, r.\nAnswer: -3, -0.1, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -48*i - 22*i - 630 = 0 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -1 + 4 + 4 + -21 + 0?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = 53611\/7146 + -45\/397. Find the common denominator of f and -5*2\/4 - -2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 x and 1 i when two letters picked without replacement from {i: 11, h: 1, x: 3}?\nAnswer: 11\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -729*c - 4383 = 642*x - 639*x, 0 = 3*c + x + 21 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = -f. Let g(s) = -3*s - 56. Give g(t(n)).\nAnswer: 3*n - 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = -f + 30. Let q be g(25). Solve q*u + 6*a = 3*a - 11, 0 = 3*u + 5*a + 13 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -16, -3, 0, -13, -48, -111, -208, -345?\nAnswer: -528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1398 and 72.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = -15*r**2 - 1024*r - 283. Determine y(-68).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*r**4 - 75*r**3 - 340*r**2 - 480*r = 0 for r.\nAnswer: -8, -4, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*l - l - 20. Suppose l = 2*u - 0*u. Solve n + 5 = t - 2*t, 15 = -u*t - 3*n for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1a1a3 (base 14) to base 8.\nAnswer: 201223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -26*b + 5*o = -72, 26*b + 2*o + 16 = 30*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(51) - (sqrt(51) + sqrt(51) + -2*sqrt(6171)))\/sqrt(3))**2.\nAnswer: 7497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*q - 25*u = -29*u + 168, 195 = -5*q - 5*u for q.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((n**13\/n)\/n*n)\/n)**(2\/11)\/(n\/(n**(-2\/5)\/n))**(-22\/3))**(-5\/14) assuming n is positive.\nAnswer: n**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -44*632\nAnswer: -27808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round -746319.86 to the nearest ten thousand.\nAnswer: -750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let -u**3\/3 - 65429*u**2\/3 - 1439075*u\/3 - 7914247\/3 = 0. Calculate u.\nAnswer: -65407, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let -20 - 2\/3*d**2 + 34\/3*d = 0. Calculate d.\nAnswer: 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 13164 is divided by 227?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-40)\/(-18) - 2) + 212\/18. Let t be (-10)\/35 - (-2188)\/14. What is the highest common factor of t and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 763142\/7 - 108835. Let v = -185 + t. Let k = -131\/82 + 4\/41. Sort -2, v, k in decreasing order.\nAnswer: v, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 - 3\/8*u**3 + 1\/4*u + 1\/8*u**4 - 1\/8*u**2 + 1\/8*u**5 = 0. What is u?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(130)\/sqrt(10) + 2 - sqrt(13))*6)**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 9*n + 16*n - 13*n - 15*n - 134*n**2 to y*n**2 + g + d*n and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 70\/385 + (-5078)\/(-22)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-6)\/14)\/((-4)\/(-56)*-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 66 in 0.5, 20, 5\/2, -5?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = -r + 21. Let t be g(18). Suppose 2*l - t*q = 135, -3*q = l + q - 51. Calculate the highest common factor of 21 and l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1847883 and 969?\nAnswer: 969","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -33603*j*p**3 - 253*j*p**2 - 62*p**2 wrt p.\nAnswer: -201618*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j + 8 = 2*m, -7*j + 8*j = 3*m - 2. Suppose 2*s - 2*t = 4*s, -2*s + 3*t = m. Put s, -1, 2, -2 in decreasing order.\nAnswer: 2, s, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -12960 * -45.1\nAnswer: 584496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 190 divided by -6.\nAnswer: -95\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify o**(-1\/43)\/(o**(-8\/5)\/o)*(o\/(o*(o\/(o\/o**(-17\/5)))\/o))\/o**39 assuming o is positive.\nAnswer: o**(-1377\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d = 8 + 4. Calculate the smallest common multiple of d and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-3 + -3)\/(-3))\/1. Suppose 2*b - 3*p = -4*p + 15, 3*b - 24 = -a*p. What is the remainder when 9 is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = m**2 + 4*m + 4. Let i be t(-4). Suppose -i*c + 437 = -5*h, -5*c + h + 180 = -382. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 2 - 0. Find the third derivative of -5*g**2 - b*g + 3*g**6 + 2*g - 5*g**6 wrt g.\nAnswer: -240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = 8*a. Calculate g(-4).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00589302122 rounded to 6 dps?\nAnswer: -0.005893","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = 2*a + 4. Let m be y(-6). Let n be 24\/m*1\/(-3). Suppose -5*h + 4*z + n = -4*h, 4*h = 5*z + 26. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 226, 195, 130, 19, -150, -389, -710, -1125?\n\"Answer: -2*y**3 - 5*y**2 - 2*y + 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -17294*a**4 - 13694 with respect to a.\nAnswer: -69176*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 86634 is divided by 285?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -5 divided by -16505?\nAnswer: 1\/3301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1027, -2056, -3085?\nAnswer: -4114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 + 0 + 3 + -2 + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 14231160 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 1, h: 8, t: 1, z: 1, j: 4}. Give prob of picking 1 j and 1 w.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*v - 4*r - 3 = 0, 5*v - 17*r + 6 = -3*r - 7*r for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Divide 3 by -26320.\nAnswer: -3\/26320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -3859594 divided by 1?\nAnswer: -3859594","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m = 3*c - 1407 - 619, 2708 = 4*c - 5*m. Is 22 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1372132 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c = -4.7 - 5.3. Let n = c + -32. Let g = n - -41.9. Put g, 4, -0.5, 1\/8 in ascending order.\nAnswer: -0.5, g, 1\/8, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: (10 - -1) + -41 + 37\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 487873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 752284834.\nAnswer: 2, 7, 53734631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {c: 6}. Give prob of picking 4 c.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Product of -296 and 0.79.\nAnswer: -233.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p = -64 - -74. Calculate the smallest common multiple of 8 and p.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = -3*u**3 + 9*u**2 + 20*u - 8. Is m(-5) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*o - 327 + 59. Suppose o = -2*b + b. Let p = b + 104. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -1119*h**5 - 206*h**2 + 2*h?\nAnswer: -67140*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = r**3 - 2*r**2 - r + 1. Let b(y) = 4*y**3 - 5*y**2 - 2*y + 8. Let p(x) = 6*a(x) - 3*b(x). Differentiate p(n) with respect to n.\nAnswer: -18*n**2 + 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) be the second derivative of -163*q**5\/20 - q**3\/6 - 1565*q**2\/2 - 54*q - 10. What is the first derivative of h(l) wrt l?\nAnswer: -489*l**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 7 - (6 + -1)*1. Find w, given that 18*w - 1 + 5 - 10*w**3 + 0 - 25260*w**2 + 25248*w**q = 0.\nAnswer: -2, -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kibb when four letters picked without replacement from iommkbimbohi?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nhhnnnnnnnnnnnhnnnnn. What is prob of picking 1 h and 1 n?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -25 + 18 + 14 + -39 - (-2 + 7 + -3)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 77 and 682.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = -4*p + 4. Let d(g) = 1. Let z(u) = 3*d(u) - r(u). Let k(i) = 7*i - 2. Let m be k(2). Let y = 13 - m. Calculate z(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 8.46 + -0.46. Which is the nearest to 0.3? (a) 1\/4 (b) t (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:25 PM and 5:57 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d = 515\/9 - 57. Let q = -1746 - -1751. Which is the nearest to 0.1? (a) 1 (b) d (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-2)\/(-3) - 12\/45. Sort -0.3, -1\/10, m in increasing order.\nAnswer: -0.3, -1\/10, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -53b2 - 1?\nAnswer: -53b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*j - 29 = 4*b, -j + 2 = -4*b - 21 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is ((-1)\/(-5))\/(476\/1870*-11)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 480 divided by 10.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b + 12 = 12. Suppose 2*w - 4*j = -4588, b*w + 3*w + 6897 = j. What is w rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 2*j**2 + 9697*j - 11434 wrt j?\nAnswer: 4*j + 9697","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z = -107 + 107. Solve -3*j + 3 = z, -5*c + 11 = -3*j + 4*j for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} {"text":"Question: Let v be (-17 - 0)\/(8\/448*4). Let i = 712\/3 + v. Which is the nearest to -1? (a) -4 (b) 35 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = 3*r**2 - 7*r - 5. Let i be g(-12). What is the highest common divisor of 73 and i?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = -i**2 - i - 7. Suppose 8 = 52*r - 50*r. Let x(q) = q**2 + q + 8. Let d(v) = r*t(v) + 3*x(v). What is d(-4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) be the third derivative of -2*r**6 + r**5\/60 - 371*r**4\/24 + 444*r**2. What is the second derivative of t(u) wrt u?\nAnswer: -1440*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -213*m + 1175 = 22*m. Solve 4*y = 4*x - 4, m*x - 17 = -4*y + 24 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 110*a = -546*a - 22960 for a.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 278624261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*p**2 + 11558*p.\nAnswer: -2*p*(p - 5779)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in -34, -16, 16, 62, 122?\nAnswer: 196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -82006 and 147?\nAnswer: -12054882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -33\/5 and (-104)\/(-35)*(10 - 90\/12).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.2937 - -0.0063. What is the nearest to 1 in -1, a, 2\/17, -0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 781562 and 781512 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-5)\/((-50)\/(-4)) + 3 + -3. What is the nearest to -1\/3 in v, 2\/17, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -7\/21148017 and -32\/33.\nAnswer: 21148017","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) be the third derivative of -5*f**4\/24 - 13*f**3\/6 - 2*f**2 - 4. Let w(d) = -d**2. Determine w(p(k)).\nAnswer: -25*k**2 - 130*k - 169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0.01 or -127?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:30 AM and 3:56 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Work out -50556461.689 + -3.47.\nAnswer: -50556465.159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*w + 2 - 1 + 0 + (-1 + 1 - 3*w)*(2 + 0 - 9).\nAnswer: 19*w + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 4094 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1673? (a) -1\/9 (b) -3 (c) 0 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is next in -940905, -1881811, -2822717, -3763623?\nAnswer: -4704529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -6798741*s**2 + 972653.\nAnswer: -13597482*s","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 154420 is divided by 355?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 64594?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 3, 0, -94, 5, 2, 24 in decreasing order.\nAnswer: 24, 5, 3, 2, 0, -2, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*p - 31 = -5*p - 2*z, 2*z = -p + 11 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 10\/(-20)*((-234)\/195)\/(1\/5) - 76?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:50 AM and 9:46 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express (-n**3 + 5*n**3 + n**3)*(n - 3*n + n) + (n**3 + n - n)*(-2*n + 4*n + n) + 6*n**4 + 3 - 3 in the form o*n + l*n**3 + c*n**2 + p*n**4 + g and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.02918109 + 12.\nAnswer: 12.02918109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 127*f - 179 - 410 - 575 - 128*f + 165.\nAnswer: -f - 999","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort -3\/2, 37, -2, -51, -3.\nAnswer: -51, -3, -2, -3\/2, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 253.\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -o + 3*s - 0*s - 8688, -26054 = 3*o - 4*s. Is (182\/21 - 4)\/((-4)\/o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2323783 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 73\/768816 and 29\/163469502.\nAnswer: 1307756016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = i**2 - 6*i - 3. Let p be c(6). Let o be -1*(6 + p) + 7. Suppose 0 = 5*n + 3*u - 2*u - 26, 0 = -o*u - 16. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 730576668 and 1.62.\nAnswer: 730576669.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -117171*n + 117163*n - 28 = 4*y, -42 = 5*n - 3*y - 19 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is -2\/45 at most as big as 3.183194?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 5560?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2811245*v**4 - 3*v**3 - 4375720*v**2 - 6.\nAnswer: -67469880*v - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 76209 to the power of 1\/2, to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j = -84\/17 - 55\/68. Calculate the common denominator of j and ((-21)\/(-12))\/((-8)\/14).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -30282 = 778*b + 1385*b for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express (-2 + 4 - 3)*(-7 + 9 + 5 + d) as i + v*d and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 4401 - 100332?\nAnswer: -51531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 23816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f = -236 + 239. Suppose 5*c + 89 = 3*u, u - 4*c = 6*u - 173. What is the highest common divisor of f and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 60.9 (b) 2\/5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u - 29 = -z, -28 = -z + 3*u + 9. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 213855586 and 14?\nAnswer: 213855586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 107 - 182 = -25*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = 54*o - 49. Let l be r(1). Solve -l*a = 10*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 146 - 42. Suppose f - 32 + n = 0. Let c be f*((-280000)\/6)\/2. What is c rounded to the nearest one hundred thousand?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: (-10)\/(-8)*24\/88*352\/(-660)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -3625334, -3625332, -3625330?\nAnswer: -3625328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t**3 - 43840*t**2 + 2972006*t - 2928168 = 0. What is t?\nAnswer: 1, 67, 21852","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n = 270 + 78. Suppose -4*j + 588 = 4*c, -78 + 102 = -4*j. Calculate the remainder when c is divided by n.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f - 4 = -a, f - a + 16 = 3*a. Suppose f = 2*o + 35 - 131. Suppose -5*u + o = -v, 3*v - 9 = -2*u - 0*v. Is 4 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 3460340 and 119781?\nAnswer: 31143060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 1 - 310?\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 6330579095 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s be 2 - 4 - -2 - -1. Let v = -3.0617 - -0.0617. What is the nearest to s in -2\/11, v, -1\/2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -2, -3, -58805, -5 in increasing order.\nAnswer: -58805, -5, -4, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 13940.87 litres in millilitres?\nAnswer: 13940870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is (5\/(-2) - -2)\/((-42)\/60396) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*k**4 + 69477747*k**3*u + 15182738*k**2*u - k**2 wrt k?\nAnswer: 48*k + 416866482*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 17788 and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = 7*q**2 - q**3 + 31 - q + 12*q + 3*q. Let s be u(9). Let i = 0.2 + -4.2. What is the closest to s in i, 3\/2, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 53772?\nAnswer: 2, 3, 4481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k*(k*k**(-4))\/k*k**(-13)\/k)\/(k\/(((k*k**(1\/4)*k)\/k)\/k))**(-8\/17) assuming k is positive.\nAnswer: k**(-283\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -82096435915 + 29*a + 82096435915.\nAnswer: 29*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = 12*c - 1. Give w(2).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = 1117*m**2 + 50. Let t(b) = -2*b. Determine x(t(w)).\nAnswer: 4468*w**2 + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/7? (a) -2.18 (b) -4 (c) 1 (d) -5.93 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is next in 8271937, 8271940, 8271945, 8271952?\nAnswer: 8271961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = -359*v + 705*v - 359*v + 33. What is the hundreds digit of n(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine h so that -h**3\/5 + h**2\/10 + h\/10 = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -1 - -926a7?\nAnswer: 926a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert -93013 (base 15) to base 16.\nAnswer: -71b68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = -5 - -7. Suppose 4*r = a*x - 20, -5*x + 29 + 3 = -4*r. Suppose 3*z - 3*s = 2*s + 22, 8 = 4*z + x*s. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 4258546 and 228?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -137*w + 1. Let z be r(-1). Let f = -2703 - -2708. Suppose -f*t - z = -5*p - 33, 0 = 2*t - 6. Calculate the remainder when 69 is divided by p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = 14*m + 13*m - m**3 - 3*m**2 + 9*m**2 + 2*m**3 + 6 - 29*m. Determine k(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (0*f + 0*f + 2*f**2 + (f - f + f)*(-11*f - 36 + 36) - 15 + 15 + 7*f**2)*(f + 2 - 2) in the form k + t*f + a*f**3 + n*f**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(2 + sqrt(7)*2 - -5*1*sqrt(7)) + (sqrt(3388)*2 + sqrt(28) - sqrt(28))\/(sqrt(20)\/(sqrt(20)\/sqrt(4))).\nAnswer: -6*sqrt(7) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Determine m, given that -216\/5*m**3 + 172*m**2 - 848\/5*m - 16\/5 = 0.\nAnswer: -1\/54, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -5 + 1. Let v(u) = u**3 + 3*u**2 - 4*u + 5. Let m be v(h). Let c be (-20)\/(-6) + 848\/(-636). Solve -c*p - m = -p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -0.142 (b) -1083 (c) 4 (d) -1\/2 (e) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = -12*t - 3. Let y(j) = -3*j - 1. Let h(r) = -4*n(r) + 12*y(r). Suppose 3*v - 4*p = 13, 3*p + 3 = -0. Let o(x) = -x + v*x - x. Determine o(h(g)).\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) be the third derivative of -25*a**8\/112 + 2*a**7 - 33*a**6\/20 - 86*a**5\/5 - 125*a**4\/8 - 6*a**3 - 2*a**2 - 339*a. Solve v(i) = 0 for i.\nAnswer: -1, -1\/5, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i = h - 5*h - 11, -4*i + 18 = -2*h. Let p = 12 - -1. Sort h, -4, 5, p in increasing order.\nAnswer: -4, h, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = -5*m + 5. Let w be c(2). Let n = w - -15. Is 5 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0 + 0. Let h(k) = -12*k**3 - k**2 - k. Let g be h(-1). Is 14 a factor of g - (-2 - y\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) -282\/5 (b) -19 (c) -4 (d) 2 (e) 4\/5 (f) -32\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r be (23\/4)\/((-2)\/(-8)). Suppose -33*q + 36 = 3. Let z be (q\/(-2))\/(99\/(-22770)). Calculate the highest common factor of z and r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 192 = 26*v - 16. Let i(y) = -1060 - 1057 + 2114 - y**2 + v*y. Suppose 8*n - 15 = 3*n. Calculate i(n).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1916 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = -w**2 + 1. Let j(i) be the third derivative of i**6\/120 + i**5\/20 - i**4\/24 - i**3\/2 + 666*i**2. Suppose -5*t + 14 + 1 = 0. Calculate t*l(x) + j(x).\nAnswer: x**3 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1014 - 950. Put 0, q, 12 in decreasing order.\nAnswer: q, 12, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2*(-2)\/(-6))\/((-16)\/(-24))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 5184.884 days in milliseconds?\nAnswer: 447973977600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 167\/12780 and -9\/160.\nAnswer: 102240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) be the third derivative of v**5\/30 + v**3 + 8*v**2. What is the first derivative of y(d) wrt d?\nAnswer: 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-935)\/935)\/(1\/2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -21450 (base 8) to base 7\nAnswer: -35145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 9946\/5 or 1990?\nAnswer: 9946\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -756787454 - 0.2?\nAnswer: -756787454.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = s**2 - 5*s + 1. Let k be r(5). Let i(q) = -q**2 + 7*q + 1. Let x be i(7). What is the smallest common multiple of 9 and 6 - (x - 1 - k)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 879*-119.17.\nAnswer: -104750.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7 - 1729*z**2 + 4 + 2*z + 2 + 3.\nAnswer: -1729*z**2 + 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 5706?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand ((4*c - 3*c + c)*(2 + 2 - 5) - 3*c + 2*c - 2 + 2*c)*(27 - 19 - 19).\nAnswer: 11*c + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is (-301)\/(-5) - (-669)\/(-1115)*(-11)\/(-3)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose i + 7 = 2*i. Suppose 2*m + 2 = 4*b, 3*b + i = 3*m - b. Solve 4*w = -m*a + 4*a + 36, 4*w = -a + 20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -2 - -3368a?\nAnswer: 33688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*w**2\/19 - 7944*w\/19 - 23850\/19.\nAnswer: 2*(w - 3975)*(w + 3)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1755 is divided by 944.\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1.36 + 1.2. Let h = 0.04 + u. What is h rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 29 + -2 - (4 + 9 + -14)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express 468*d**2 - 6370*d**2 + 786*d**2 + 15*d - 15*d - 3 in the form z*d + b + i*d**2 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o = 2042 - 2042. Let x = -35927\/3 + 10275011\/858. Let u = x - -1\/11. Is u at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = 9 - y + 5 + 2 + 9*y. List the prime factors of a(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = r**2 + 1. Let w be g(6). Let u be (-35*15\/(-35))\/((-3)\/4). Let i = w + u. What is the remainder when i is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*k + 342 = 17*k. Let c = k + -143. Calculate the greatest common divisor of c and 140.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = -t**3 - 10*t**2 + 9*t - 16. Let g be v(-11). Let h be g\/(-12) - (-10)\/4. What is the third derivative of -j**h - 45*j**4 + 45*j**4 + j**5 wrt j?\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 63078 to the power of 1\/2, to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -805, -801, -795, -787?\n\"Answer: l**2 + l - 807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = 34.03 - 25.03. What is the third smallest value in q, -3\/5, 0.007?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 48285.81t in grams?\nAnswer: 48285810000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = -p**3 - 22*p**2 + 1. Let x be v(-22). Let s = 32 - 27. Solve -s = -a - x for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -50008, -50004, -50000, -49996, -49992, -49988?\n\"Answer: 4*b - 50012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 110 + 1110100?\nAnswer: 1111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 1527894*f*i - 6386822*i with respect to f.\nAnswer: 1527894*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -61 + -58 - -79 - -115.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d + o - 13 = -o, 15 = 3*o. Let m be (-273)\/(-507)*(-4)\/14. Which is the nearest to d? (a) 1 (b) 2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -15*g + 17*g - 2 = 2*r, -6*r = 2*g + 38 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1269 - 1185. What is the highest common factor of t and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*n - 4*s - 77 + 32, 5*s + 45 = 4*n. Calculate the remainder when 98 is divided by 124\/n - (-34)\/170.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-21*q + 43*q + 95*q)*(2*q - 2 + 2)*(4*q - 4*q + q) as a + g*q + p*q**3 + u*q**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 691\/9 + 18\/81 is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 35594 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v + 30 + 40 = 5*q, -4*q = -4*v - 44. Calculate the remainder when 95 is divided by q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.152267 less than 0?\nAnswer: 0.152267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1\/12)\/1*45\/10?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = -222068*c - 36. Let x be v(-4). Suppose x = 14*b - 342364. Round b to the nearest one thousand.\nAnswer: 88000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 72 divide -9*(-6)\/48*-4*-32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -25\/39 + -1\/39. Let h = -17 + 17. What is the closest to h in 1\/2, -5, g?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanoseconds are there in 0.2153135 seconds?\nAnswer: 215313500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) be the second derivative of -u + 3\/2*u**2 + 0 - 1\/6*u**3. Let o = -611 + 608. Determine l(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 725 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert -807 (base 9) to base 6.\nAnswer: -3011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -58485498.31 rounded to the nearest one million?\nAnswer: -58000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 366 minutes before 4:43 AM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = 3*d + 1. Let w be r(-1). Let o = 0.05 + 109.45. Let q = 109 - o. Which is the smallest value? (a) w (b) 2\/5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 160 minutes after 6:25 PM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 166234.\nAnswer: 2, 83117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1.94 + -2.04. Let w = 3 + -2.6. What is the nearest to -1\/5 in w, b, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -11 + 7. Suppose -5*w = 4*c + 8 + 4, w = 3*c + 28. Is 4\/c - 806\/n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -7 + 7. Let t(r) = -r + 25. Let p be t(i). Let j be 10\/p - 136\/(-10). What is the greatest common factor of j and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((4*sqrt(600) + sqrt(600) + sqrt(600))\/sqrt(3) - ((sqrt(10)\/sqrt(5) + 4)**2 + 5)) + 1.\nAnswer: -22 + 52*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = -t**3 + 36*t**2 + 6*t - 14. Determine o(36).\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -1496ca (base 13) in base 7?\nAnswer: -4206435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express (-83 - 2*q + 83)*(3*q**2 + 3*q**2 - 2 - 5*q**2 + q) as a*q + g*q**3 + b + c*q**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 18 a factor of 149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 100001 (base 2) to base 15\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand h**2 + 6*h**2 - 3*h**4 + h**4 + (2*h**3 + 5*h**3 - 14*h**3)*(-2*h + 1 - 1).\nAnswer: 12*h**4 + 7*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = a. Suppose -v - 17 = -5*m, -6*m + 4*m = -4*v + 4. Suppose -4*w = -l - 19, 0*l + 8 = v*w - 2*l. Determine r(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -18\/97 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-39)\/(-13) - 8\/(-1)) + (-48)\/(-12). Solve -6*l + k = -3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.1 - -0.6. Let n be (-3)\/(-5) + (-4)\/(-10). Which is the smallest value? (a) q (b) n (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.6 in -2\/9, 7, -3, 31.6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = 2756*k + 51181. Give p(-18).\nAnswer: 1573","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*u + 9 = -3*f, -53854*u - 20 = f - 53849*u for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = -9*r + 4. Let v be (-30)\/(-8) + (-42)\/56. Calculate m(v).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-104)\/(-17))\/((-3446)\/58582)\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h + 12 = -2*u - 19, -u + 4*h - 23 = 0. Which is the biggest value? (a) 2 (b) u (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 182 and (-3)\/(-30)*262 + (-45)\/225?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l + 4*c + 3548 = 0, 0 = l - 3*c - 1038 + 159. Let u = l + 671. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -4571 at most -4571?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = -3*n**3 + 99*n**2 - 5*n + 3. Let u(p) = -10*p**3 + 298*p**2 - 17*p + 10. Give 7*a(g) - 2*u(g).\nAnswer: -g**3 + 97*g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert 1021111 (base 3) to base 12.\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) be the second derivative of 5*w + 0*w**2 + 1 + 0*w**3 + 1\/50*w**5 + 1\/30*w**4. Factor l(b).\nAnswer: 2*b**2*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -83\/1378 and 87\/424.\nAnswer: 5512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9636539 is divided by 5134?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c = 19183570 - 19183920.08366. Let a = c - -342.883. Let k = -7.2 - a. Round k to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11 = -5*d + 4, -3*j = -3*d - 6. Suppose 13*r + 10 = 8*r + 2*c, -3*r - 3*c + 15 = 0. Put r, 4, j in decreasing order.\nAnswer: j, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -4316? (a) 39\/7 (b) 2 (c) 0.1 (d) 0.3 (e) -0.4 (f) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) be the second derivative of -9637*u**4\/3 - 17*u**3\/6 + 25*u**2\/2 + u. Let r be i(21). Round r to the nearest 1000000.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -8 + 2. Let w be (-7 - o)*(-1 + 0). Let n(j) = j**4 + 1. Let u(a) = 2*a**5 + 12*a**4 - 4*a**3 + 2*a + 12. Let g(q) = w*u(q) - 12*n(q). Solve g(y) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1011010 - -11?\nAnswer: -1010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 31 is divided by 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 13\/22350 and -37\/675.\nAnswer: 201150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1210 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 7*f*h + 3*f - 317*h + 40442 wrt h?\nAnswer: 7*f - 317","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = g**3 - 4*g**2 - 4*g - 2. Let n(t) = t**3 - 11*t**2 + 33*t - 14. Let a be n(6). Give j(a).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -816 from -41632.\nAnswer: -40816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = -4*p**2 + 347*p + 83. Determine h(87).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 370401?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 f, 1 d, and 1 z when three letters picked without replacement from zyfmndz.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -21 - (45 + -25 + -22)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -32*q - 35*q + 28 = -62*q - 9*z, q = -z for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = -q**3 - 3*q**2 + 4*q - 2. Let p be i(-4). Let f(k) = k**3 + 12*k**2 - 2. Let o be f(-12). What is the units digit of 0 + o - -17 - p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-8)\/(-30))\/((-245)\/25 - -10)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 4 + 1)*(-2*z**2 + 2 - 2) - 2 + 2*z + 2*z**2 - 2*z + (0*z + 0*z + z)*(z - 1 + 1).\nAnswer: 5*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z = 20 - 14. Let w be (14\/4)\/(z\/24). Suppose w - 6 = q. What is the greatest common divisor of q and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 104, 198, 284, 356, 408?\n\"Answer: -x**3 + 2*x**2 + 95*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(112)*2 - sqrt(112))**2 - sqrt(7) - (sqrt(7) - (2*sqrt(7) + -3 - sqrt(7))**2).\nAnswer: -8*sqrt(7) + 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d be 0*(-3 - (-6 + 2)). Sort d, -12, 5, 12 in descending order.\nAnswer: 12, 5, d, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 217 minutes after 6:15 AM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 144 at most -1144498?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 1170952 minus 6826735.4?\nAnswer: -5655783.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put 7, 5, 2, 42, -2 in decreasing order.\nAnswer: 42, 7, 5, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k = -229 + 238. Solve -5*s - k = -29, -3*d = -s + 19 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v = -d - 81 + 1, 0 = 4*d - 8. Let h = -39 - v. Solve -4*i = -3*x + 16, x + h*i + 10 = 2 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1.1075 + -2.1075. What is the biggest value in z, 1\/22, -2, 4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -168 + 2674 = 7*h. Is 51 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l - 2*r + 2 = -r, 0 = -2*l - 2*r + 4. Let q(x) = x**2 + 11. What is the remainder when 52 is divided by q(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 20 minutes after 8:01 AM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -5656*g + 7983 wrt g?\nAnswer: -5656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*o**4 + 4620*o**3 - 1708050*o**2 - 54400500*o - 415951875.\nAnswer: -3*(o - 785)**2*(o + 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 85402.81 decades?\nAnswer: 10248337.2","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -8*z - 33 + 25 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s - 2*q = 21 + 13, 5*s = -2*q + 26. Suppose 18*g = s*g + 216. What is the remainder when g is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/9? (a) 1 (b) -1\/3 (c) -7 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = y - 2. Let w(g) = g**2 - 4*g - 5. Let q = -1 - -13. Suppose 5*a - q = 2*a. Let x be w(a). What is n(x)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = o**3 + 6*o**2 - 9*o - 8. Let m be g(-7). Solve 0 = -2*h - m, 3*f + 3*h + 0*h + 6 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 283 minutes before 1:47 AM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 1, o: 1, z: 1, d: 2}. What is prob of sequence xo?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express -189*i**2 - 156*i**2 + 7 - 147*i**2 + 2 + 451*i**2 in the form p*i**2 + h*i + c and give p.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand g + 5*g - 3*g + (-2 + 0 + 1)*(-2*g + g + 3*g) + 2*g - 3*g - g + 6 - 4 - 2 + 20*g.\nAnswer: 19*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -193\/4963350 and -13\/1985340?\nAnswer: 9926700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = -4*z**3 + 8*z**2 - z - 10. Let a(d) = 3*d**3 - 8*d**2 + d + 9. Let n(i) = -6*a(i) - 5*y(i). Let x be n(-6). Let l = -83 - x. Is l a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 462 + 91*i**2 - 462 + (0 + 0 - 2*i)*(4 + 2*i - 4) + 0 + 0 + 2*i**2.\nAnswer: 89*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n - 8 = -3*k, -7*n = -3*k - 5*n + 4. Calculate the remainder when ((-22)\/(-33))\/(k\/261) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**18*v)**23 assuming v is positive.\nAnswer: v**437","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n = 9 + -13. Suppose 2*b + 1 = r + 3, 4*r = 4*b. Let c be b\/(n*(-2)\/8). Solve -x = -c*x - 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 11023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = -3*r**2 + 4*r + 9. Let a(p) = -47*p + 1418. Let x be a(30). Let m(c) = 5*c**2 - 6*c - 14. What is x*j(u) + 5*m(u)?\nAnswer: u**2 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} {"text":"Question: What is the difference between 478232217 and -76.71?\nAnswer: 478232293.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) be the second derivative of -127*t**5\/10 - 49*t**3\/6 - 426*t. Find the second derivative of b(c) wrt c.\nAnswer: -1524*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = -g. Let a(z) = -1484*z**2 + 2704*z. Calculate r(a(c)).\nAnswer: 1484*c**2 - 2704*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 72168432 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} {"text":"Question: 13806025 divided by 25\nAnswer: 552241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is -1605 > -1586?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x + 156 = -2*m, 2*x + 5*m + 0*m - 66 = 0. Is 9 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 826412379.\nAnswer: 3, 13, 23, 307, 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8 + (5 - (17 + -18)) + 4?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -1 = -s, 14 = 14*v - 16*v + 4*s for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -2022222 (base 3) to base 16\nAnswer: -6a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Product of 68465561 and 0.3.\nAnswer: 20539668.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 286, 1251, 2866, 5137, 8070, 11671, 15946, 20901?\n\"Answer: c**3 + 319*c**2 + c - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 1 (b) 1\/5 (c) -10\/11 (d) -0.036 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + -3 + -5*sqrt(48).\nAnswer: -20*sqrt(3) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 479671 is divided by 770?\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -6111, -12292, -18537, -24846, -31219, -37656?\n\"Answer: -32*c**2 - 6085*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -27776, -111129, -250042, -444521, -694572, -1000201, -1361414?\nAnswer: -1778217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 700 minutes after 9:04 PM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.02463 + 215.67537. Let c = -230.115 + 0.115. Let b = c + p. What is b rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -429 + 483. What is the highest common divisor of 4 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1.99 + 0.01. Let i = -38\/3 + 12. Which is the nearest to 2\/5? (a) 4\/7 (b) w (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -17? (a) 0.2 (b) -3 (c) -35 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = c - 9. What is n(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 526 and 4734?\nAnswer: 4734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-11 - -23) + (-15 - -17)\/(7\/(-47)).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = j**3 - 5*j**2 - 4. Let b be s(3). Let l = b - -38. Is 8 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v = 2*i + 10, -2 = 2*i + v + 8. Sort 1, i, -3, 3 in descending order.\nAnswer: 3, 1, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -10 + -1120?\nAnswer: -1200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let -3650*s**5 - 189695*s**4 + 1231860*s**3 - 2546480*s**2 + 1765840*s - 48720 = 0. What is s?\nAnswer: -58, 21\/730, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-1)\/3)\/(7\/(-42)). Let c = l - -2. Let g(y) = c*y + 9*y - 3*y - 9*y. Let r(a) = 2*a. Determine g(r(v)).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 31 = 3*x + 25. Suppose -4*t + 2*q - 10 = 0, -t = q - x*q + 4. Sort -5, -2, 16, t in increasing order.\nAnswer: -5, -2, t, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -8\/9*i**3 + 2*i + 4\/9 + 2\/3*i**2 = 0.\nAnswer: -1, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = 119*w**4 - 5*w**3 + 50*w**2 + 5. Let j(b) = 179*b**4 - 7*b**3 + 75*b**2 + 7. Let k(r) = 7*d(r) - 5*j(r). Find the third derivative of k(p) wrt p.\nAnswer: -1488*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (317 - 315) + (-2 + 2 - 11).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 255 and 12022995?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 256 + 10016 = 374*n - 3182 - 384 for n.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -2 + -12550?\nAnswer: -12552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(2700) + -3 - sqrt(2700))*-2)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 1 < 925\/458?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -2 + -134213?\nAnswer: -134220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 - 50*k**3 + 3.\nAnswer: -50*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o + 3 = -3*g, 4*g + 0*o = 2*o + 20. Suppose -5*x = 5*p - 70, -g*x + 27 = -2*p - 35. Calculate the remainder when 68 is divided by x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -37.69 + 37.6898471. Round c to 5 dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-3 + ((sqrt(1008) + 0)*-1 - (-2*sqrt(1008) + 5)) + 4 + sqrt(1008) + -1 + -5)*-5)**2.\nAnswer: -12000*sqrt(7) + 103300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*g = 3*f - 7 - 14, -8 = -2*f for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -11970, -16700, -21430, -26160?\n\"Answer: -4730*f - 7240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = -7983 + 7986. Let p(o) = -o**2 + 6*o + 2. Let s(k) = -k**2 - 9*k - 8. Let t be s(-7). Let q be p(t). Solve -q*g + v - l = -g, 3*g - v + 1 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t + 4*b + 239 = 0, 3*b = 2*t - 153 + 63. Is 17 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 4 + -50?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort -55, -16\/91, 1, 3\/2, -1\/4 in descending order.\nAnswer: 3\/2, 1, -16\/91, -1\/4, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -j = -3, 5*x + 20 = 285*j - 280*j for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.38 + -4.62. Let h = -36 - -41. Let j be (3\/(-10))\/((-3)\/4). Which is the biggest value? (a) j (b) h (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 312*u**4 + 9*u**3 + 6*u**2 - 320723*u wrt u?\nAnswer: 3744*u**2 + 54*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*z + 14 - 4 = -j + 9, -19*z = 3*j + 4*j + 16 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 85944893519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f = -z + 2*z + 26, -3*f + 22 = z. Suppose 4*t = -f, t + 42 = 5*x - 0*x. Find the second derivative of 7*b - x*b - 4*b + b**5 wrt b.\nAnswer: 20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -85*o + 1226 = 2076 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 r and 1 f when two letters picked without replacement from {f: 4, a: 3, r: 1, q: 2}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 4, -6, -26, 3 in descending order.\nAnswer: 4, 3, 2, -6, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l = 4\/3119903 - 155162135955\/43678642. Let b be (-3556)\/(-1 + (4 - 2)). Let i = l - b. Find the common denominator of i and 75\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f = 4*x + 5*f - 6820, -5*x - 4*f = -8526. What are the prime factors of x?\nAnswer: 2, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00054533973 to six dps.\nAnswer: -0.000545","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express 28*x + 4 - 7*x - 4 in the form v*x + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round -831.71 to the nearest ten.\nAnswer: -830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zm when two letters picked without replacement from zmmzlssmsz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1379, -1374, -1453, -1658, -2031, -2614?\nAnswer: -3449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h = -8\/1083 - -14524\/206853. Which is smaller: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = -5 - 6*i**2 + 5*i**2 - 1 + 8*i. Let h be v(7). Put 2, h, 3 in decreasing order.\nAnswer: 3, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = f**3 + 5*f**2 - 8*f - 4. Let u be i(-6). Let h(l) = -l**2 + 3*l. Let n(o) = 14*o**2 + 8*o - 14*o**2 - 4*o**2. What is u*h(p) - 3*n(p)?\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 20006.\nAnswer: 2, 7, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: (6\/14)\/((-27)\/252*-10)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = 437 + -213. Does 10 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 16\/7327 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Divide 111 by 2.\nAnswer: 111\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 55232342 (base 6) in base 12?\nAnswer: 6786b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express (0*g + g + 6*g)*(-g + 146*g**2 + 1 - 142*g**2 + 3*g) in the form o*g**2 + k*g**3 + h + v*g and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Does 49 divide 17686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = -3*w**2 + 34*w - 13. What is s(11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*k - 13 + 22 = 4*r, -3 = 7*r - 5*k for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 171 divided by 6531\nAnswer: 57\/2177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z be 10\/(-4)*(-196)\/35. Solve 8*u = 2 + z for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) be the second derivative of y**3\/3 - 5*y**2\/2 + y. Suppose 0 = 3*i, -2*g = -14*i + 18*i. Let o(k) = g*k - 3 - 4 - 4*k + 18. Give -13*c(j) - 6*o(j).\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3607 is divided by 1176.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g = 15 - 7. Suppose 0 = -5*c - 5*q + 68 - g, -2*c = -5*q + 4. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -7 (b) 12.71 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2\/(-42) + -10 + (-11)\/(-231)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 13 + (-4 - (4 - 3)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = r**3 + 5*r**2 + r - 2. Let d be l(-4). Suppose -17100 = 535*i - 1675*i. What is the highest common divisor of i and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 486 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 121725 is divided by 2342.\nAnswer: 2283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand -9*x - 2*x + 13*x + x + x - 4*x - 2*x - x + x + (0 + 0 + 2*x)*(4 + 0 - 5) + x + 3 - 3 - 1 - x + 1 - 8*x + x + x.\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(500) - (sqrt(500) - (-2*sqrt(500) + sqrt(500) + 1))) + sqrt(500) - sqrt(500) - sqrt(500)) + 1 - (((sqrt(500)*-1 + sqrt(500))*-4)**2 + 1)) + -4.\nAnswer: -20*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 234444 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2647929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sum 845.6128297163 and 0.5.\nAnswer: 846.1128297163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: d7 (base 14) to base 2\nAnswer: 10111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n be 1 + 4\/(-7) + (-910)\/(-49). Let b = 21 - n. Solve -b*v + 16 = -4*k - 0*v, 3*v - 22 = 5*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1204 is divided by 907.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 p and 1 t when two letters picked without replacement from {e: 2, t: 1, q: 2, y: 1, p: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {x: 7, a: 2, i: 4, e: 1, c: 6}. Give prob of picking 1 e, 2 i, and 1 a.\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 2\/5 (b) -58 (c) -4\/7 (d) 3\/2 (e) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = y**2 + 35*y - 78. Let n be p(-39). Solve 2*l = -82 + n for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 60 minutes before 3:29 PM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24*m = 123 + 669. Suppose m*z = 19*z + 532. Which is bigger: 44 or z?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*z + 2*z + 0*z + (z + 2*z - 2*z)*(5 + 3 - 2).\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: ((1425\/(-38))\/(-25))\/((-1)\/16)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h - 4*n + 1040 = n, 2*n - 836 = -4*h. Let w = 488 - h. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 0.02, 3, 0.03, 5, -1\/3?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 2\/7 (b) -7\/330 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.1 - 0. Let v = -7396 + 7395. What is the nearest to -0.19 in -0.3, 0.4, d, v?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (6*o**2 + 4*o**2 - 5*o**2)*(-75*o**2 + 7762*o - 7762*o).\nAnswer: -375*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 666483674?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b + 3020 + 5921 = 5*l, -5*l + 8950 = -5*b. What are the prime factors of l?\nAnswer: 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*o - 10084 = 5284. Is 8 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1369844, -1369843, -1369842, -1369841, -1369840, -1369839?\nAnswer: -1369838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 6275 (base 8) to base 4.\nAnswer: 302331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -0.1, 4, -2, -1, 633, 2\/1079?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z = -7 - -10. Suppose 0 = -z*l + 6*l + 3. What is the units digit of (l - 0)*(1 + -8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 99216 and 832?\nAnswer: 396864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 0.01300402 * -14\nAnswer: -0.18205628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = -j**2 + 5*j + 5. Calculate b(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = 188*m**3 - 3*m**2 + 7*m - 10. Let o be q(2). Let p = o - -1457. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 56796?\nAnswer: 2, 3, 4733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -10 + (-465 + 437 - (-20 + 1)) + -3 + -69?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 3082790669 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: ((-28)\/112)\/((-6)\/(-16))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = 187.5 + -17.5. Let q = 1619.3 - 1441. Let n = m - q. Round n to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -14237*v = -2477*v - 373152 - 163453 - 380675 for v.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -2583759991+49\nAnswer: -2583759942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in -329, -322, -313, -302, -289, -274?\nAnswer: -257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 11 (b) -3 (c) 6\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c = 184598 - 103565. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 588 = -18*h + 2676. List the prime factors of h.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 1 + 2 - (-48)\/(-20). Let u = -2.79 + -161.21. Let v = -164.2 - u. Does p = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 11379501 and 7560.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -1\/1524, 8, 0.5, -6, 0.21?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = -j**2 + 4*j + 2. Suppose -5*y - 10 = -5*p, -p - 3*p = -5*y - 6. Let m be g(p). Let c(l) = l**2 - 8*l - 5. Let t be c(8). Sort m, t, 4.\nAnswer: t, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3318*a - 3318*a - 11*a**2)*(-3 + a**2 + 3) to f*a**3 + d*a + b*a**2 + z + i*a**4 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 124 + -2?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate -210954 divided by 3.\nAnswer: -70318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-90)\/(-140))\/(5\/70).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = -25*m + 6. Let a be w(3). Let x = a + 90. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*x**2 - 48*x + 190.\nAnswer: 2*(x - 19)*(x - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w be (140 - 11) + -1 + 0. Suppose -w = -4*l + 2*y, -l + 4*y + 64 = l. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 156200 + -3?\nAnswer: 156164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 d when two letters picked without replacement from dddddddnddddd?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 2621009 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 101 minutes before 12:11 PM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-235)\/(-25) - (2 + 8\/(-5)). Let f be -10*(l\/2 + 0). Let m = 157 + f. Does 8 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 7.1 + -7. Let l = 0 + h. What is the third biggest value in l, 1\/4, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose o = -2*c + 6*o - 8, 2*o = -5*c + 38. What is the least common multiple of 8 and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 210114491?\nAnswer: 210114491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7505382?\nAnswer: 2, 3, 587, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {e: 3, t: 3, v: 1, i: 8, y: 5}. What is prob of sequence iyyv?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (18 - 1464\/84)\/((-2)\/7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0001155 to 5 dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 156 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v = -201 - -206. Is (-1 + -1)\/(v + -3) + 1362 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine y, given that 4*y**5\/3 - 1234*y**4 + 5546*y**3\/3 - 616*y**2 = 0.\nAnswer: 0, 1\/2, 1, 924","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1384317?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1714051741.\nAnswer: 17, 263, 383371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(-2\/7)*k*k**(4\/3)\/k)\/(k\/k**5*k**(-2\/15))*(k**(-2\/7))**(-48)*(k*(k**(1\/3)*k)\/k)**(2\/35) assuming k is positive.\nAnswer: k**(664\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -12*s - 202*s - 87*s = 53*s + 7788 for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -34900927, -34900925, -34900923?\n\"Answer: 2*z - 34900929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = -4*h**2 + 3*h + 1. Let j(q) = 9*q**2 - 7*q - 2. Calculate 6*j(n) + 14*r(n).\nAnswer: -2*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m = 75 + -73. Let s(z) = -194*z - 124. Let h(c) = 65*c + 41. Let y(r) = m*s(r) + 7*h(r). Is y(14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 50*o + 60*o - o = 1439 + 87 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 192*m + 5*w = 193*m + 10, 2*m = -5*w + 10 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (-2)\/5 + 517\/55?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -5*t - 49*t + 21*t + (-2 + 3 + 0)*(0 + 0 + 2*t) + 6*t - 2*t - 3*t.\nAnswer: -30*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -29ac6c (base 13) in base 4?\nAnswer: -3321323223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 45874*k**5 + k**4 + 2*k**2 - 52*k + 602 wrt k.\nAnswer: 2752440*k**2 + 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = 19*p**2 + 3*p + 12. Suppose -19*s + 28 = -48. What is the tens digit of l(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:38 PM and 1:48 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -37 - (-36 - -14 - (76 + -7))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 1202213 + -4?\nAnswer: 1202207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00208878 rounded to four decimal places?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert 10.4711um to meters.\nAnswer: 0.0000104711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = -3741 - -5705. Suppose -i = -3*t - t. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -11 - -19. Let n(f) = 4*f - 9. Let k be n(m). Solve 5 = 3*j - 2*t, 4*t - k = -4*j - j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7 + 2 + 1)*(406*m**3 + 795*m**3 - 516*m**3)*(-5*m - 2 + 2).\nAnswer: 13700*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t = 796 - 802. Let l(u) = u**2 + 7*u - 7. Calculate l(t).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 363922.\nAnswer: 2, 13, 13997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is next in -61, -72, -83, -94, -105, -116?\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 320468142.\nAnswer: 2, 3, 31, 521, 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l = l + 35. Calculate the remainder when (-3)\/((-6)\/l)*220\/(-77) is divided by (-2)\/8 + (-29)\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1314830 and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o*(o**(-20)*o*o)\/o*o)\/o)**(-3\/35) assuming o is positive.\nAnswer: o**(54\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/3 in -0.05, 0.8, -687323?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/(-3)*22\/275?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 688859*c**2*m*r + 6*c**2*m + c*m*r**2 + 5*c - 2*m - 1449 wrt r.\nAnswer: 688859*c**2*m + 2*c*m*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -3*d**2. Let t(z) = -z**3 + 33*z**2 + 2*z + 146. Let g be t(33). Let s(c) = 9*c + g - 212. What is s(v(k))?\nAnswer: -27*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = -h + 3. Let s be t(1). Suppose -2*n = -4*l - 7*n + 38, 0 = -s*l + 4*n + 6. Let p = l - -3. Solve g + p = -g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2555741136?\nAnswer: 2, 3, 13, 1063, 3853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000499436165 to seven dps.\nAnswer: 0.0000499","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -6\/35, 4, -0.29, 248 in descending order.\nAnswer: 248, 4, 0, -6\/35, -0.29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l be -6*(2\/(-6) + 0). Suppose 0 = -l*d + 3 - 9. Find the common denominator of d + 0 - (-202)\/40 and -85\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -157, 142, -1, 193 in descending order.\nAnswer: 193, 142, -1, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is thirteen fifths of a millimeter in micrometers?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.5, -89, -3\/4, -4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6619511 is divided by 101838?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000000097198 rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4)\/(-12)*36\/(-4)*(-30)\/(-10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose m - 7*x + 4*x - 3544 = 0, 2*m - 7091 = 3*x. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 65 + -45. Solve -t - 3*t = u for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 12 - -1 - ((-102 - -47) + 45)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 273692 and 160696.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from pppvvvppo. What is prob of sequence pvop?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z be (6\/(-15))\/(3\/60). Let s be -2230*1*(-4)\/z. Let t = s + 3415\/3. Find the common denominator of t and -7\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k - 32 = 4*c, 4*k - 2*c - 31 = -k. Suppose -u + k*u = m - 1431, 0 = -4*u - 16. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-9)\/6*592\/180. Let m be 2\/(5*(-4)\/46). Let r = m - f. Is r != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 7 = s + 2*w, 2*w - 2 = w for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 2597 - 11?\nAnswer: 2586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c = 90 + -85. Suppose 64 = 5*l - l - 4*m, 0 = 2*l + m - 41. Solve c*y + 3*u = -37, -y = 5*u + l + 6 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4139403 divided by -1379801.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 37\/15 and -23\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -2\/9 (b) -61 (c) 3 (d) 1 (e) -11\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y = 539131 + -296354. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 405 minutes before 5:08 AM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(343) + 1 + 0.\nAnswer: 1 + 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 l and 1 b when three letters picked without replacement from {l: 2, b: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 j and 1 a when two letters picked without replacement from jja.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 9\/5? (a) -1 (b) -4\/5 (c) 2.19303\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i = -5 + 9. Suppose 2*v - i = v. Let f be (2 + 0)*v\/8. Calculate the greatest common divisor of 2 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*j - 5*l - 31 = -24, j + 9 = -5*l for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 7266, 7150, 6988, 6780, 6526, 6226?\n\"Answer: -23*m**2 - 47*m + 7336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is z in 5*z**3 + 1296080*z**2 - 163365615*z + 5146641990 = 0?\nAnswer: -259342, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l = 2\/6331 - -221553\/101296. Let k be (472\/1200)\/(203\/(-2409)). Let u = 18\/725 + k. What is the common denominator of l and u?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p = -4 + 7. Suppose 4*l - 2*v - 25431194 = 0, -3*v = p*l + 2*v - 19073363. Suppose l + 642204 = -u. Round u to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 149\/3 + -51. Are z and -2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = -s**3 - 4*s**2 - 4*s + 1. Let b be z(-3). Suppose 0 = 3*n - 4 + 1. List the prime factors of (b - 3)\/(n\/3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 5762 and 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 60182226?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-7)\/30 - ((-12)\/5 - -2). Let m be (-5)\/(-2)*4\/5. Factor -j*c**m + 1\/3*c - 1\/6.\nAnswer: -(c - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8\/(720\/375)*-1*(-3)\/(-10).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -2160, -4039, -5876, -7671, -9424, -11135?\n\"Answer: 21*s**2 - 1942*s - 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 5 - 5\/(-1)*(-2 - 20\/24) and 53\/275?\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 2a1864 - -5?\nAnswer: 2a1869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(35) - (4*sqrt(875) - sqrt(875)))\/(sqrt(77)\/(sqrt(11) + sqrt(11)*1)))**2 + 5.\nAnswer: 3925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 6128447 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: b\"What is the ath term of 20, 26, 58, 128, 248, 430, 686, 1028?\n\"Answer: 2*a**3 + a**2 - 11*a + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -23*a + 4*a. Solve -c + 5 + a = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 3379 and 2675187?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 942.\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = 2*z**2 + 11*z + 14. Determine u(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zzppzpd. What is prob of picking 2 p?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -2152*r + 100202 - 324130 = 1011*r + 92372 for r.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -73, -157, -241?\nAnswer: -325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = 53 - 44. Suppose 2*b + 2*n = 6, 4*b + n - j = -2*n. Suppose b = -0*c + 5*c - 6065. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (1 + (-3)\/(-3))\/2. Let r = -5 + d. Let g = 5 + r. Calculate the remainder when 2 is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 35 (base 13) to base 3.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -45\/2816 and 89\/14642?\nAnswer: 20615936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 0.08 less than -0.074162?\nAnswer: -0.154162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r\/r**3)**(-3\/7))**(16\/7) assuming r is positive.\nAnswer: r**(96\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-2)\/7 - 47\/7. Let y be (-2)\/2*(u - 2). Let i = -157\/74 - -951\/518. What is the nearest to 0 in -5, y, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 12988336?\nAnswer: 2, 811771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.2 in -4, -86, -3.8, -1\/3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w - 3*t - 6604 = t, 2*w + t - 4399 = 0. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many tonnes are there in 279091.7kg?\nAnswer: 279.0917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-1)\/(-6) - (-9)\/(-108)*-22. Suppose p - 3 = -0. Do v and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p - 3*r + 106 = 2*r, -p + 38 = r. Let v be (-547820)\/(-1690) + ((-22)\/(-26) - 1). What are the prime factors of (-4)\/(-14) + v\/p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) be the second derivative of 0*c**6 + 0*c**3 + 6*c + 0*c**2 + 0 + 1\/4*c**4 - 2\/21*c**7 + 0*c**5. What is the third derivative of d(h) wrt h?\nAnswer: -240*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = b**2 - 6*b - 45. Let f be l(-5). Solve 3*q = f*q - 7 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 16\/(-60)*(-1380)\/598?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 3\/2, 1\/6, 1\/2, -328, 0.2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*q = 9*q - 36. Calculate the remainder when 51 is divided by q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 981, 2420, 3935, 5526, 7193?\nAnswer: 8936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.03103 - 0.031034497. What is w rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-1 - -6 - 6) + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -129 - 4?\nAnswer: -12d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*t**4\/7 + 696*t**3\/7 + 6102*t**2\/7 + 2592*t + 18063\/7.\nAnswer: 3*(t + 3)**3*(t + 223)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z be -1 - (0 + 3 - -18). Let b = z + 26. Factor 1\/4*y**3 + 1\/2*y**b + 0*y**2 + 1\/4*y**5 + 0 + 0*y.\nAnswer: y**3*(y + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -26 divided by -1.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) be the first derivative of k**3\/3 - 7*k**2\/2 + 8*k + 33. Give q(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 458452 to the power of 1\/4, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*l = 226 + 320. Let y = 26 + l. Is 9 a factor of -2*6*y\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 20035*v**2 - 36*v + 30 wrt v?\nAnswer: 40070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 10, 29, 62, 109?\nAnswer: 170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 147.607445 rounded to 0 dps?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = -h + 125. Let v be -3 - (0 + -4 + 1). Let t be k(v). Differentiate -125*m - 1 - 4*m**3 + t*m wrt m.\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = 25*p - 302. Let k(q) = -5*q + 56. Let a(l) = 2*d(l) + 11*k(l). Suppose -o = -5*j - 8 - 4, o = -3. What is the remainder when a(j) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.5829619ug in grams?\nAnswer: 0.0000005829619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert -62 (base 13) to base 9.\nAnswer: -88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -857461, -3429855, -7717181, -13719439, -21436629, -30868751?\nAnswer: -42015805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = -26 + 15. Let n = z - -18. What is the third derivative of 0*p**3 + n*p + 3*p**2 - 7*p - 11*p**3 wrt p?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7399774 divided by -3699887?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s = -29.397 - -0.197. Let a = s + 30. Let n = -0.7 + a. Is n > 3.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*i + 561 = 22*i. Suppose i*b - 15590 = 2175. List the prime factors of b.\nAnswer: 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 504 and 131304?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Add together -27 and -184.485.\nAnswer: -211.485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express 0*x**2 - x + 11*x**3 - 5*x**2 - 9159 + 9159 as l*x + i + n*x**2 + k*x**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 21618?\nAnswer: 2, 3, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 19*b**2*h - 14*b**2 - 21*b*h - 2*b + 168*h - 81 with respect to b.\nAnswer: 38*b*h - 28*b - 21*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 75 = -a + 79. Suppose s + n = -2*n - 81, -273 = a*s - 5*n. Is s bigger than -71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 507*v - 341*v + 4746 = 279*v for v.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 1, i: 5, o: 3, r: 2, z: 3}. Give prob of sequence or.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: Let x = 0.833 + -0.033. Let s = 10.2 + x. Let p = s + -15. Which is the closest to 1\/2? (a) -1 (b) p (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 2 - 17. Let b = 33 + n. Solve -c - l = 4 - 1, -2*l - b = 5*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose z - 6*s = -2*s + 2, 0 = 3*z - 2*s + 24. Let p = -21 + 20. Put p, z, 5 in descending order.\nAnswer: 5, p, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 82770 divided by -1.\nAnswer: -82770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = 1 + 3*b + 5 - 2*b. Let m be x(-5). Factor -30*f + m + 38*f**3 + 3 + 48*f**2 - 6*f**3.\nAnswer: 2*(f + 2)*(4*f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -44\/31615803 and -71\/54.\nAnswer: 189694818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 3155506 to the power of 1\/2, to the nearest integer?\nAnswer: 1776","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i be (12\/9)\/((-2)\/(-9)). Let t(w) = -w**3 + 7*w**2 - 7*w + 5. Let z be t(i). Let q = 6 - z. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: (-12 - (0 - 6)) + -2\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = 29665*j. Let y(u) = -63*u + 1. What is t(y(f))?\nAnswer: -1868895*f + 29665","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + -1 + 1*((sqrt(637) - -4*(-3 + sqrt(637))) + sqrt(637)) + -1 + -1 + sqrt(637) + sqrt(637) + sqrt(637)*-1 + 5)**2.\nAnswer: -1274*sqrt(13) + 31382","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 l and 2 w when three letters picked without replacement from lioww.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g = -11 - -13. Suppose -6*k = -g*k. Factor 4\/3*z - 2\/3 + 2\/3*z**4 - 4\/3*z**3 + k*z**2.\nAnswer: 2*(z - 1)**3*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1730201?\nAnswer: 11, 157291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 2\/3, -31, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -37 + (35 - 8) + -2?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) be the third derivative of 0*y + 26*y**2 + 0 + 23\/6*y**4 + 0*y**3. Let s(u) = -2*u. What is s(v(w))?\nAnswer: -184*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = -r**3 + 9*r**2 + 4. Let a be h(9). Suppose -3*p = 4*g - 56, 8*p - 2*g = a*p + 38. Calculate the smallest common multiple of 4 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -5924 by 1.\nAnswer: -5924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 8955946771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 64? (a) 3 (b) 0.7 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -5 in -0.98, 81369, -2\/13?\nAnswer: -0.98","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = -9*q**2 - q. Let o be l(-1). Let c be 2 + 0 - o\/(-4). Suppose i + i - 26 = c. Is 11 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = 1 + 43*u**2 - 4*u + 2*u**3 - 3*u**3 - 38*u**2. Let b be t(2). Calculate the highest common factor of b and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:50 AM and 1:20 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {f: 4, w: 4, h: 5, j: 6}. What is prob of picking 1 j and 2 f?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3*(-12)\/27)\/(2\/6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 820121 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 n and 1 u when two letters picked without replacement from {n: 1, l: 4, u: 1, o: 2, f: 11}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x + 5*k - 1021 = 0, 8*k = -5*x + 3*k + 1715. Let f = 355 - x. Calculate the highest common divisor of 256 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7 + -4 - (-5 + 0 + 7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d = 26.000003 + -26. What is d rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 202 - 72. Which is bigger: v or -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:02 PM and 9:53 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) -0.4 (b) -0.3 (c) -10 (d) 0.058\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r = -28 - -21. Let v(o) = -o**3 - 9*o**2 - 16*o - 1. Calculate the remainder when 19 is divided by v(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) be the third derivative of c**7\/735 - 19*c**6\/30 + 3916*c**5\/35 - 340603*c**4\/42 - 704969*c**3\/21 + 254*c**2. Factor b(j).\nAnswer: 2*(j - 89)**3*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*j + 4 = -a, -5*a - j + 29 - 40 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a be (1 + -4)\/((-6)\/4). Suppose 2*c = 5*v + 5*c + 5, -a*c - 10 = 0. Sort 0, v, 1 in decreasing order.\nAnswer: v, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 30 = -4*r + 5*b, -57*r + 62*r = -3*b - 19 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -1.441 rounded to one decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = 6*x**2 + 3*x + 2. Calculate b(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n = 26 + -8. Suppose -2*v + 5*x = 9, 4*v + 3*x - n = x. Suppose 2*q = -q + 6. Sort -4, v, q.\nAnswer: -4, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -708*v = 928*v + 53988 for v.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is (-142415)\/(-319260) - 9\/17?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 117, 216, 327, 456, 609, 792, 1011, 1272?\n\"Answer: u**3 + 92*u + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 84968 divided by 4\nAnswer: 21242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 o and 1 c when four letters picked without replacement from {o: 3, p: 2, c: 3}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*m = 169 - 675. Calculate the remainder when 128 is divided by m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 26\/49 and -31\/1119.\nAnswer: 54831","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*b - 16, -18 = -c - b + 21. Calculate the remainder when c is divided by 24.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 16 (b) 5 (c) -5 (d) 17 (e) 3\/7 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 4475?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 411.6 in 589, -1\/5, -2?\nAnswer: 589","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ggzl when four letters picked without replacement from {g: 4, y: 5, l: 1, z: 1, t: 1}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = -73*j. Let v(r) = -2190*r**2. Calculate v(i(q)).\nAnswer: -11670510*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((((-5)\/(-2))\/5)\/4)\/(1\/(-10)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/71 in 1\/719, -3\/5, -1\/4?\nAnswer: 1\/719","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -197*a**4*x - 1639*a**3 + 4*a**2*x + 2*a + 433081*x + 5 wrt a.\nAnswer: -2364*a**2*x - 9834*a + 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: ((-150)\/525)\/((-4)\/(-14))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1080 and 11871.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(242) - sqrt(242)*1)**2 + -5 - 3*(-1 + sqrt(242)).\nAnswer: -33*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -1156*n**5\/7 + 4896*n**4 - 247896*n**3\/7 - 12960*n**2 - 8100*n\/7 = 0 for n.\nAnswer: -3\/17, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -7670 or -7634?\nAnswer: -7634","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j + 1053 = f, -635 = 2*j - 5*j + f. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 8712372 and 1076?\nAnswer: 1076","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = -5055*d - 717623. Give k(-142).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-j + j - 2*j)*(3*j - 2*j - 2*j) + j**2 - j + j + (-5*j + 25*j + 0*j)*(6 + 6 + 1)*(-3*j - 4*j + j).\nAnswer: -1557*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x = 2509\/3 + -858. Calculate the common denominator of 77\/87 and x.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -2*m - 3100*m**3 + 1307 + 1263 + 1303 - 3873 in the form p*m + j*m**2 + n*m**3 + q and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -34 (base 13) in base 7?\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -344 (b) -1\/7 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = 21*u**3 + 11*u**2 - 16*u - 7. Let p(j) = 5*j**3 + 3*j**2 - 4*j - 2. Let i(h) = -2*a(h) + 9*p(h). Suppose i(q) = 0. Calculate q.\nAnswer: -2, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -127\/2610 + -1\/145. Let l be (-1)\/(-1) + 6\/33*299\/(-46). Is l less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 49612289, 49612291, 49612293, 49612295?\n\"Answer: 2*q + 49612287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-12)\/(-4) - (-55)\/(-15). Let y = -0.03 + 2.03. Which is the smallest value? (a) y (b) l (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (10\/7)\/(3520\/84 - (-404 + 446)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 5710 + -5670. Let f(l) = 6*l**2 - 2*l - 4. Let r be f(-4). What is the highest common divisor of x and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -15 + 17. Let p = m - -0.2. Let f = -2.178 + p. What is f rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from pprppzzrprrzurrru. Give prob of sequence pru.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j = -15 - -18. List the prime factors of (j + -9)*(-5)\/3.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 30 and 4430.\nAnswer: 13290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**(-16)\/r)\/(r\/(((r**(-3\/4)*r)\/r)\/r))*((r\/((r\/(r\/((r**(1\/4)\/r)\/r)))\/r))\/r)**0 assuming r is positive.\nAnswer: r**(-79\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 1699745037?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 383 and 221168329?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n = 167 - 169.14. Let m = n + 2.13532. Round m to 4 dps.\nAnswer: -0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*s**2\/7 + 76*s\/7 - 690\/7.\nAnswer: -2*(s - 23)*(s - 15)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 636\/1166 + (-6)\/22*(-12)\/(-9)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round 18822000 to the nearest one hundred thousand.\nAnswer: 18800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 108 a factor of 6001560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 5594393489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-9)\/(-24))\/((-30)\/8))\/((-8)\/(-96)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 6175681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = -r**3 + 4*r**2 - 2*r - 2. What is v(5)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -14\/769 or -323\/5?\nAnswer: -14\/769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-7 + 6*v - 54*v + 6)*(-49*v**2 - 128*v + 128*v) to the form p*v + n*v**3 + a + f*v**2 and give n.\nAnswer: 2352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d = -17\/27 + 247\/135. Sort 0.036, -2, d.\nAnswer: -2, 0.036, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 - -52140.\nAnswer: 52144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = -4*w + 11. Suppose 0 = -9*v + 4*v - 55. Calculate the remainder when l(v) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -71723 and 48.7?\nAnswer: -3492910.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -5 in -3930, 27, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} {"text":"Question: -0.4 * -1.97\nAnswer: 0.788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -1329.95 rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cl when two letters picked without replacement from {y: 1, c: 1, q: 7, v: 1, l: 5}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.37 - 0.17. Let g = 0.02 + 2.98. Let v = g + -2.9. What is the closest to 0 in v, u, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = 120*z**3 + 4*z**2 - 81*z - 7. Let r(s) = -60*s**3 - 2*s**2 + 41*s + 4. Let l(i) = 4*q(i) + 7*r(i). What is the second derivative of l(w) wrt w?\nAnswer: 360*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 0.45 (b) -0.5 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q = -2*c - 8*q + 17, -5*c + 5*q = -60. Suppose 23 + 54 = c*x. Suppose x*s + 4861 = 8*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1479 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 42 divide 588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-18 - -19) + -13 + (-3 - 7)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = -3*x + 7. Solve 2*a = 6 + x for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 4862 times 4.87\nAnswer: 23677.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5908316 is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 1092836245 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = -14*n + 5 + 8*n - n**2 + 6*n - n**3. Give f(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from snssn. Give prob of sequence nss.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 66770531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve j + 124*q = 4*j + 114*q + 73, 16 = 5*j + 3*q for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gs when two letters picked without replacement from {g: 5, l: 1, s: 3, r: 1, d: 1}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = -3*z - 3. Let n be r(-2). Let m(q) = -2*q + 6. Let c be m(0). Suppose 20 = 2*w - c*w, w + 5 = n*d. Sort -4, -2, d in ascending order.\nAnswer: -4, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3 - 3) + -1 + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 0\/(-7) + -9 + 501. Let a be 822\/10 + (-22)\/110. What is the greatest common divisor of a and l?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (2 - 21\/(-2))*4\/5. Let r be (1 + -2)\/(895\/b + 0). Which is smaller: r or 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 75 - 168. Let z = 89 + s. Let a be -1 + -3 + 12\/(-42). Are z and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-26)\/13)\/((-4)\/3)*264\/(-99)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -32 = -11*d + 386. Suppose 25*b = -d*b + 126. Let w(a) = -a**2 - 5*a + 3. Let z be w(-6). What is the nearest to 3\/5 in z, b, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7464648.\nAnswer: 2, 3, 311027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = b**5 - b**4 - b**3 + 7*b**2 + 6. Let w(q) = 3*q**5 - 3*q**4 - 3*q**3 + 20*q**2 + 17. Let a(o) = -17*f(o) + 6*w(o). What is p in a(p) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 805 + 91. Let z = 915 - y. Which is the closest to 1? (a) z (b) -4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -234059837 - 65110\nAnswer: -234124947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-1 - -7)\/((-47)\/(-282)). Suppose -3*f + 4*l = 0, -3*f + 3*l + 2*l - 3 = 0. What is the highest common factor of a and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.8113 rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -16*g + 10*g + 15*g.\nAnswer: 9*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-32)\/6)\/((-18)\/135). Suppose -n - 3*n - 4*b = -s, b = 3. Is 1\/n + (-888)\/(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 75\/(436\/424 - 1). Calculate the greatest common divisor of m and 371.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5260 = -4*h + 5*p, -h - 4*p = -3*p - 1315. Suppose -o - h = -z, 15*z - 2*o = 14*z + 1315. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (128 - 321 - 4*z + 134)*(0 + 3*z + 0) + (0*z - z - 3*z)*(0*z + 3*z - 2*z) + z - z - 2*z**2 - z**2 + 5*z**2 - 2*z**2.\nAnswer: -16*z**2 - 177*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 8, -1\/2, -10?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 1185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -31*d - 14 = -38*d. Suppose -m = 5*f - 14 + d, 0 = 4*m - f - 27. Is 3 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -16, 0.5, -2.1, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = 420*m**2. Suppose -54*p - 119 = -55*p. Let g(c) = 21*c**2. Let n(x) = p*g(x) - 6*t(x). Let b(q) = -q. Calculate n(b(y)).\nAnswer: -21*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 41974098 to the nearest integer?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 7, a: 2}. Give prob of picking 2 a.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(8\/7)\/s*s\/(s*s**22))**(-10) assuming s is positive.\nAnswer: s**(1530\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = -m + 4*m**2 - 1 - 4*m**2 - 2*m**3 + m**2 - 1. Let n be w(-2). Suppose 0 = -63*a - 1257 + 1572. Solve 4*f + n = -0*u - 3*u, 0 = -a*u for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = -2*f - 4. Let n(r) = 288 - 3*r**2 + 0*r**2 - r + 4*r**2 - 323. Let k be n(6). Give i(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*a - 2 = 5*p + a, 3*p = -5*a + 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 106*d**2 + 24*d**2 + 27 - 28 wrt d.\nAnswer: 260*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 50751 minus 178?\nAnswer: 50573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:06 PM and 1:32 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -1562 (base 16) in base 7?\nAnswer: -21650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1203520573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from regigqip. Give prob of picking 3 g.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r = -4*a - 192, a - r - 3*r = -23. Which is smaller: a or 12?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 67883 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*w**3 + 860106*w**2 + 1720203*w + 860100.\nAnswer: 3*(w + 1)**2*(w + 286700)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 20*m + 82 + 118 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t = 92.5695 - -0.4305. Is t bigger than 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 51*y + 63*y + 547*y + 54*y - 756*y + 56*y.\nAnswer: 15*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -69, -342, -1079, -2514, -4881?\n\"Answer: -39*v**3 + 2*v**2 - 6*v - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 60755 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor z**3\/4 - 4*z**2 - 9*z\/4 + 36.\nAnswer: (z - 16)*(z - 3)*(z + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.15? (a) -2 (b) 1\/4 (c) 98 (d) 0.4 (e) -593 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = m**3 - 8*m**2 + m - 7. Let u be g(8). Suppose u = -i + 6. Solve -34 = -i*v - 14 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 104267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1 - -3. Suppose -g*m - 3*m = 10. Which is smaller: -3\/5 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 157, 247, 337, 427, 517?\nAnswer: 607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find t such that 5*t**2 - 284240*t + 4039618880 = 0.\nAnswer: 28424","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o = 4*o - 285. Suppose o*y = 51*y + 18. Suppose -y*b = -p + 18, 2*b + 30 + 6 = 2*p. Solve -5*x = 5*g, 6 - p = 3*x for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -a**2\/2 + 139094*a - 1390915\/2.\nAnswer: -(a - 278183)*(a - 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 3\/32 of a gram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = -9*x**2 + 6254*x - 25012. Determine k(4).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -50636.5, -0.3, 0.16 in ascending order.\nAnswer: -50636.5, -3, -0.3, 0.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 689 minutes after 4:09 AM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a be -2*(-161 + (2 - (-1)\/1)). Suppose -2*d - 3*s + a = 0, -d + 2*s = -6*d + 779. Suppose -d = -6*g + 5*g. Is g a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.5 + 0.9. Let a = -2\/67 - -73\/201. Let z = -1.7 - -2. What is the second smallest value in a, z, j?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -688*o**2 + 3*o - 10*o - o + 9*o as s + b*o + a*o**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) be the first derivative of 2*m**5\/25 + 3*m**4\/5 - 22*m**3\/15 - 24*m**2\/5 + 56*m\/5 + 2035. Suppose n(w) = 0. What is w?\nAnswer: -7, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*c + 168 = -2*c. Is c a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*m - 0 + 10. Suppose -4*r - 1 + 13 = 0. Find the first derivative of r*h - 2*h - m + 2*h wrt h.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 1046 divide 275272098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n = 108 + 132. Suppose f + n = 5*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -187*m + 9486 + 1234 + 953 = -4409 for m.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1679252 and 2756?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 989803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor -20*i**4 + 505255*i**3 + 126315*i**2.\nAnswer: -5*i**2*(i - 25263)*(4*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*j**2 + 0 + 0)*(-9*j + 6*j + j) + (1 - 1 + 3)*(-2*j**3 + 0*j**3 - j**3).\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4526*d - 3133*d + 45969 for d.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 347571?\nAnswer: 3, 7, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c = 250 - -179. Suppose 0 = -4*t + z + c + 1265, 4*z = -2*t + 856. Is 31 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -263.424 + 263. Let p = d - 2.776. Which is smaller: p or -0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 (base 9) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m = -0*m - 10. Let z(b) = b**3 + 3*b**2 - b + 4. Let v(i) = i - 1. Let h(k) = m*v(k) + z(k). Give h(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 184525426 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: What is the product of 0.04163 and -0.09?\nAnswer: -0.0037467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g be -2*3022*75\/(-60). Suppose 3*l - 7*l + 10072 = -f, 3*l - f - g = 0. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*u - 9*u = 0. Solve u*i - 4*i = -2*t + 18, -2*i + 6 = 4*t for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = 5*b + 3. Let u be l(5). Let r be -2*1\/((-8)\/u). Suppose 13 + r = 5*k. Calculate the lowest common multiple of 7 and k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = -3*c**3 + 6*c - 6. Let d(f) be the second derivative of -3*f**5\/10 + 11*f**3\/6 - 11*f**2\/2 + 19*f. Determine -6*d(y) + 11*t(y).\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 - q)*(2 + 0 - 6)*(0*q - 2*q + 3*q).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 14 + (24 - -2 - (157 + -81 - 74)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 2068 = 344*k + 4 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round 4081900 to the nearest 100000.\nAnswer: 4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = x**3 - 19*x**2 - 2*x + 2. Suppose -36*m - 80 - 105 = -869. What is f(m)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = -y**2 - 6*y - 5. Let q be x(-4). Suppose -5*h - 136 = -9*h - 5*f, q*h - 2*f - 102 = 0. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 15303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 71495 at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Multiply 5.2749 and 5802.\nAnswer: 30604.9698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5*b + 8*b - 2*b to s*b + g and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 1552100 rounded to the nearest 10000?\nAnswer: 1550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 875820 to the power of 1\/2, to the nearest integer?\nAnswer: 936","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when ((-15)\/30)\/(2\/(-268)) is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*w**2 - 5*w**2 + 5*w**2)*(-4*w + 4*w + 2*w**3 + (3*w**3 - 4*w**3 - w**3)*(-4 + 0 - 3) + 1 - 1 - 3*w**3).\nAnswer: -26*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -0.3 (b) -0.5 (c) 125659 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 8624 + -2 + 8 + -7 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 140 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) be the second derivative of 7*a**4\/4 + 12*a**2 - 9*a. Find the first derivative of f(g) wrt g.\nAnswer: 42*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -3*(-285)\/9*530\/(-100)*-2 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -28 - -31. Let x be (0 - 1)*q + (15 - 12). Solve 7*b - 4*b = x for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {r: 4, f: 3, h: 7}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 5674091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1\/(-1 + -2) + 7271\/9915)*25\/(-170)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*y - 25 = -11. Suppose x - 55 = -2*n, y*x + 6*n = 10*n + 142. Is 6 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000313429 to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*o + o = -15 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 924837149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -13*w - 18 = -7*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Does 61 divide 17102265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*c + 137 - 67 - 70.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor -n**5 + 2834*n**4 + 54081*n**3 + 359154*n**2 + 924156*n + 616248.\nAnswer: -(n - 2853)*(n + 1)*(n + 6)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Are 0.3 and -2\/685 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 626.861 grams in nanograms?\nAnswer: 626861000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is ((-205)\/(-135))\/((-1197)\/32319)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -138*j**3*k**3 + j**3 - 72*j*k**2 + 2*k**3 wrt k?\nAnswer: -828*j**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -2*2\/28*6\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 6*d**5*y**2 - 347*d**2*y**2 + d*y**2 + 14*d - 144*y**2 wrt d.\nAnswer: 120*d**3*y**2 - 694*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = -2494*k. Let w(z) = 503*z**2 - 19*z. Determine o(w(d)).\nAnswer: -1254482*d**2 + 47386*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round -184480 to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Determine z, given that 9*z**3 + 4*z**5 + 16*z**3 - 5*z**4 + 7*z**2 - 2 - 36*z**3 + 7*z = 0.\nAnswer: -1, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 52318 divided by -52318.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 40 and 69395.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i = 48 - 45. Suppose i*o + 265 = 1105. Suppose 19*y - o = 12*y. Is y a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = -7*y - 8. Let w(x) be the third derivative of x**4\/3 + 3*x**3\/2 + x**2. Let m(p) = -46*p + 650. Let b be m(14). What is b*w(u) + 7*c(u)?\nAnswer: -u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*z + 9*z - 3416 = -4*o, 5*o = -4*z + 13708. Is z a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-3)\/(-2))\/((-219)\/(-72) - 3). Suppose -d*c + 32*c - 4 = 0. Sort c, 3, 17, -4 in descending order.\nAnswer: 17, 3, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 432 minutes after 11:31 PM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*((1 + sqrt(7) - sqrt(7)) + -5) + sqrt(63)\/((sqrt(9)*-3 + sqrt(9))*-6))**2.\nAnswer: 4*sqrt(7) + 82951\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = q + 8. Let p(s) = s + 9. Let f be p(-9). Let u be o(f). Suppose -v + 5 + u = 0. What are the prime factors of v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = -66995*k + 39259066. Determine c(586).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put -451, -72, 2 in increasing order.\nAnswer: -451, -72, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {e: 1, d: 12, k: 1}. What is prob of picking 1 e and 3 k?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-1)\/(-2)*-2)\/((-1)\/5). Suppose -8 = -p + l - 2, 5*p = -c*l + 10. Sort -1, p, 3, -6.\nAnswer: -6, -1, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.1095 * -43.\nAnswer: -4.7085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 318\/51*3\/6 + -3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 7092610 rounded to the nearest 10000?\nAnswer: 7090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Divide -6506 by -2.\nAnswer: 3253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a - 392 = -c, 0 = 2*c - 5*a - 0*a - 779. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = -c**2 + 7*c - 9. Let p be r(4). Suppose p*o = m - 26, -8*m + 3*m + 5*o + 150 = 0. Calculate the remainder when m is divided by 22.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {n: 1, h: 3, a: 6, t: 3}. Give prob of picking 1 t, 1 h, and 1 a.\nAnswer: 27\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.356 (b) 156 (c) 0.0517\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w = -64.358513 - -0.059513. Round w to the nearest integer.\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = 33*o - 1576 - 25*o - 1575 + 4727 - 1578. Let m(x) = 146*x. What is m(r(h))?\nAnswer: 1168*h - 292","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h = -32 + 4. Let b be (h\/12 - -1) + (0 - -1). Suppose 0 = -2*k - k + 9. Do b and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 11 + -8. Let k be 5\/3 + 1\/j - -1. Let x be 312\/36*k\/2. What is the greatest common divisor of x and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -173 (base 8) to base 10\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert -1322 (base 5) to base 10.\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 44\/93 and 8\/789?\nAnswer: 24459","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -174*x + 708*x - 285*x - 90*x - 166*x.\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = -q**2 - q + 1. Let h(p) = p - 7*p**2 + 2*p + 7 - 8*p. Determine -h(u) + 5*r(u).\nAnswer: 2*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 813052 and 1692712?\nAnswer: 724","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -63*l = -o - 133, -3*l - 1588*o + 1586*o - 8 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 299.0688 months to millennia.\nAnswer: 0.0249224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 563806*-1.7.\nAnswer: -958470.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p = -15, -3*p - 79 = -t - 2*p. Let v = t + -369\/5. Factor -v*z**2 + 1\/5*z - 3\/5*z**4 + 0 - z**3.\nAnswer: -z*(z + 1)**2*(3*z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3913 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 16193620777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6967453 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 370784 and 11672?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l = -154 + 152. Let o = -217 - -214. What is the biggest value in o, l, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 165, 159, 139, 99, 33?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 317027, 317019, 316999, 316961, 316899, 316807, 316679?\n\"Answer: -l**3 - l + 317029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 457 a factor of 462676007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = -g. Let s(y) = -149*y**2 - 1. Give n(s(i)).\nAnswer: 149*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o = -2.8 + 3. Let g(n) = 2*n - 1. Let l be g(2). Let t be 2*(-6 + l)\/42. Put o, t, 3 in decreasing order.\nAnswer: 3, o, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 50 + -46. Suppose 4*v + c*q + 6 = 6*q, 0 = v + 2*q - 1. Put -5, v, 13 in decreasing order.\nAnswer: 13, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from fdfvvdlilvflfcfcfl. What is prob of sequence vc?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is next in -36397, -36400, -36403, -36406, -36409, -36412?\nAnswer: -36415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c - 5*c + 33 = 3*w, 2*c - 24 = -3*w. Calculate the remainder when 14 is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 419 minutes before 12:08 PM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence oz when two letters picked without replacement from wbobzohwtbww?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n be 125 + (4 + -7 - -4) - 2. Let m = -117 + n. Calculate the remainder when ((-4)\/(-6))\/((-6)\/(-207)) is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = -3*o**2 - o - 9. Let z(p) be the first derivative of p**3\/3 + 2*p - 1821. Suppose -1 - 3 = 2*u. What is u*m(y) - 9*z(y)?\nAnswer: -3*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -39362, -314889, -1062748, -2519105, -4920126, -8501977?\nAnswer: -13500824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = -10.16 + 8.16. Let z = -0.11 + 4.11. Let a = 1 - 1.4. Sort a, u, z in ascending order.\nAnswer: u, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u\/(u**1\/u))**(-44) assuming u is positive.\nAnswer: u**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u\/(u**(-2)\/u*u))**4\/((u*u*u**(-7))\/u*(u*u**(-7)*u*u)\/u) assuming u is positive.\nAnswer: u**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*x + 3*n = 345 - 369, -10*x + 6 = 2*n - 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = g**3 + 7*g**2 + 11*g + 10. Let q be p(-5). Suppose 0 = -q*a + o + 57, 5*a + 4*o - 24 = 4*a. Which is smaller: 11 or a?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -3808*n + 4141 with respect to n.\nAnswer: -3808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2560, 2586, 2646, 2758, 2940?\nAnswer: 3210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((2 - 1 + 0)*(2 - 1 - 3) + 24 - 353 + 359 - 1981)*(-3*h - 17*h - 4*h)*(1 - 1 + 1) to the form y + t*h and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2431 = -5*y + 8589. Is 8 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = 5*j**3 + 127*j**2 + 636*j - 1719. Give k(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t be 3\/(-6) + 27\/6. What is the third derivative of 5*d + 2*d**t + 4*d**2 - 5*d wrt d?\nAnswer: 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -9 - -25. Suppose -v - 2*p = -0*v - h, 55 = 4*v + 5*p. Round v to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 384 divide 16063108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = 4*m - 83. Let b be q(21). Let n be (0 - b\/(-3))*(-124 - -118). What is the closest to 8 in n, -1\/4, -6, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*w**2 - 6*w**2 + w**2 + w - w**2.\nAnswer: -6*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zw when two letters picked without replacement from zzzawaxwwz?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 608 = 4*o + l - 506, -3*o + 842 = 4*l. Does 15 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 91935304 divided by 4?\nAnswer: 22983826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d = 2544682244 + -88992627378969\/34972. Let i = d + 18\/1249. Find the common denominator of i and 87\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -13863, -53005, -117377, -206973, -321787, -461813, -627045?\nAnswer: -817477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in -836, -1368, -2580, -4814, -8412, -13716, -21068?\nAnswer: -30810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*d - 3*q + 181 = 0, 92*d - 91*d + 5*q = 35. Solve 0 = -d*o + 33*o + 32 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -12 + 19. Suppose 0 = -3*s - 5*d - a, -s + 19 = -2*d + 3. What is the remainder when 15 is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*z - 2*a, -a = -0*z + z + 1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*h - 0 - 9. Let w be (4\/3 + -1)*0. Suppose -233 = -5*x + h*g - w*g, -4*g = x - 42. Is x a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3 + 1 - 1)*(-4*c + c + c) + (-366*c - 1927*c - 646*c)*(1 - 2 + 0) to h*c + i and give h.\nAnswer: 2945","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5\/(-2)*(-360)\/150.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = 2*x**3 + 156*x**2 - 314*x - 24362. What is y(-78)?\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*o**5 + 24*o**4 - 232*o**3 - 800*o**2 - 828*o - 280.\nAnswer: 4*(o - 7)*(o + 1)**3*(o + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 136 divided by 10.\nAnswer: 68\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 171*y = 44170 + 42014. Calculate the highest common factor of y and 1350.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 = 21*m - 17*m. Calculate the remainder when 41 is divided by m\/(-6) + (-94)\/(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 2712 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j = -19 + 11. Let n = -2 - j. Suppose 4*m = n + 26. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = 12*t**2 - 10*t. Let i(j) = 2*j - 814. What is i(v(c))?\nAnswer: 24*c**2 - 20*c - 814","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*i + 2*i. Suppose 2*d - 28 = -i*d. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -661 - -760. Which is greater: s or 195\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -4837*q**2*u**3 - q**2*u**2 - q**2 - 8979*q*u**2 + 2*q - 891*u**3 - 249*u + 1 wrt u?\nAnswer: -29022*q**2 - 5346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r = -31 + 339. Let k = r + -77. Solve k = 2*t + 1 - 7 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) be the first derivative of 0*g**3 + 24 + 0*g - 9\/2*g**4 - 8*g**2. What is the second derivative of p(d) wrt d?\nAnswer: -108*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 2.37 - -2.63. Let j = -203\/3 + 67. What is the third smallest value in 0.2, 0, j, t?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {e: 2, t: 2, v: 2}. What is prob of sequence tte?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w be 83 + 7 + (10 - (-11 - -8 - -9)). Calculate the highest common divisor of 6674 and w.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1.22273 rounded to 3 decimal places?\nAnswer: -1.223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 432994 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3\/28)\/(-31*64\/(-15872)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 209*u - 202*u + 7 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) be the first derivative of -w**5\/40 + w**3\/12 + 3*w - 2. Let u(l) be the first derivative of n(l). Factor u(i).\nAnswer: -i*(i - 1)*(i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-10 - 10) + (-2 - 16 - -14)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = 2*z**2 + z**3 - 7*z**3 - 4*z**2 + 0*z**2 + 3*z**3 - 4*z. Let g(f) = 1. Let l(q) = -q - 5. Let s(v) = 5*g(v) + l(v). What is k(n) - 4*s(n)?\nAnswer: -3*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 9102705 and 12?\nAnswer: 36410820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 3, -8, -31, -72, -137, -232, -363?\n\"Answer: -f**3 - 4*f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand -z**4 - 4*z + 4*z + (-3*z**2 + 5*z**2 - z**2)*(-1 + 1 - 2*z**2) + 4*z**3 - 4*z**3 - z**4 - 141*z**2 + 1 - z**3 + 141*z**2 + 9*z**4 - 3*z.\nAnswer: 5*z**4 - z**3 - 3*z + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = 54*j**2 - 13*j**2 - 17*j**2 - 20*j**2 - 16*j**2. Let y(h) = 2*h**2 + 5. Determine v(y(s)).\nAnswer: -48*s**4 - 240*s**2 - 300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 5840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 33 (base 4) to base 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -107, -109, -101, -77, -31, 43?\n\"Answer: g**3 - g**2 - 6*g - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*p + 3*p - 6. Suppose 8*w - 121 = 223. Suppose -w = -8*n - 11. Solve -p = n*a - 3*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = 3*c**2 - 5*c - 3. Suppose -2*u = 2*j - 6, -2*j = 1 + 1. Let g(m) = 6*m**2 - 11*m - 7. Determine u*g(a) - 9*o(a).\nAnswer: -3*a**2 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is (33\/(-9))\/(((-75438)\/8100)\/127)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0.0362429 or -0.021?\nAnswer: 0.0362429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (72 - -174) + -77 + -61?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 0.5839 times 6.2\nAnswer: 3.62018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 52398340.\nAnswer: 2, 5, 2619917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Product of 3505 and -130.\nAnswer: -455650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 325109 is divided by 23222?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 p and 1 o when three letters picked without replacement from {p: 2, o: 7, a: 4, f: 1, y: 2}?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 640051251.\nAnswer: 3, 7, 30478631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*m + 2*z = -2*m + 79, 2*m + m + 2*z = 20 + 29 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*u**2 + 5*u**2 - u**2 + (-u**2 + 2*u**2 - 3*u**2)*(3 - 5 + 3) + 0 + 0 - u**2 - 3*u**2 + 4 - 4)*(1 + 0 + 1).\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in 8\/3, -3\/4, -1\/5, 2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: (-3)\/(99\/2)*((-648)\/36 + 21)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 16655370223 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = 49*t + 21. Let j(a) = 5*a + 2. Let c(o) = -21*j(o) + 2*w(o). Determine c(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) be the second derivative of -71*h**4\/6 + 185*h**3\/6 - 12*h + 3. What is the second derivative of g(t) wrt t?\nAnswer: -284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 2*f**3 - f**3 - 2*f**3 - 2*f - 4*f**4 + 4*f as w*f + h + g*f**2 + n*f**3 + c*f**4 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-60)\/(-140)*(-98)\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c = 2*c - 10. Let d be (c\/(-6))\/(1\/(-9)). Suppose -3*x - 4*z + 119 = -138, -5*z = -d*x + 293. List the prime factors of x.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 29603 is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.3, -0.3078, 0.22, -0.5, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l - 7 = -2*h + 3, -2*l = 3*h - 15. Suppose 4*f - 79 - 5 = l. Suppose -f*p**4 + 46 + 36*p**3 - 6*p - 46 - 9*p**2 = 0. What is p?\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = 26*c**2 - 6*c + 14. Let o be w(2). Which is smaller: o or 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1404, 5319, 11764, 20739, 32244, 46279, 62844?\nAnswer: 81939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6 + -1 + 9 - (1 - -4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put together -0.19 and -240.9471633.\nAnswer: -241.1371633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Subtract -111877468 from 249114.\nAnswer: 112126582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2988879 or 2988899?\nAnswer: 2988879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -418*s - 215*s + 75506 - 14738 for s.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q be -3 - (-3 + 0 + -6). Calculate the lowest common multiple of 11 and ((-9)\/(-2))\/(3\/q).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -5 - 34. Let n = 68 + q. What are the prime factors of n?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) be the second derivative of -1\/8*d**4 + 0*d**3 + 1\/80*d**5 + 0*d**2 + d - 2. Suppose t(z) = 0. What is z?\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -c73 (base 13) to base 16.\nAnswer: -84a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 14*i**3 + 23*i**3 + 21*i**3 + 9*i**3 - 69*i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 49*s = 225 + 657 for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -15*4\/(-12) + (-22 - (1 - 3)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -294, -1237, -2868, -5229, -8362, -12309, -17112, -22813?\n\"Answer: -7*t**3 - 302*t**2 + 12*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*p + 1243 - 1279. Solve -j + 4*r = 15 + 1, 3*j - 2*r = -p for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p - 29 = -134. Let l = p + -9. Is l a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 45 + -74. Let z = -27 - g. Suppose 2*o - 2*p - 268 = 0, z*o + 5*p - 281 = -27. What are the prime factors of o?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*w + 2 = -4*k + 1, 29 = 3*w - 5*k for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 134435732?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 1249732613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1441006.\nAnswer: 2, 7, 102929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -54*r**2 - 40*r**2 - 21*r**2 to h + d*r**2 + p*r and give d.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round -64.86 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -31*j**2 + 33 + 30*j - 3*j**3 - 32*j + 22*j.\nAnswer: -3*j**3 - 31*j**2 + 20*j + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2742 is divided by 19.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 28350 and 14175.\nAnswer: 28350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {t: 2, v: 1, x: 2, i: 2, d: 1}. What is prob of picking 1 i and 2 t?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -113317 take away 0.016?\nAnswer: -113317.016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = -g + 2. Give q(11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence iki when three letters picked without replacement from uikvvvlvlvviui?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 6, 19, 40, 69, 106, 151, 204?\n\"Answer: 4*r**2 + r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 1 + 4)*(-8 - 22 + 6)*(-i**2 + 2*i**2 + i**2).\nAnswer: -96*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (8\/30)\/(11\/55)*18\/4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 30827 - 0?\nAnswer: 30827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 441321.\nAnswer: 3, 147107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round -40.50153 to 1 decimal place.\nAnswer: -40.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b = -4180.82 + 4230. Let v = b + -52. Let o = -0.18 + v. Put -3\/8, -0.4, o in ascending order.\nAnswer: o, -0.4, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19 - 4 = 5*q. Suppose -22 = 2*b + 4*j, 2*b + 2*j - 3 = q*j. Find the common denominator of (-13)\/234*((-2 - b) + 12) and 5\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7\/2753505 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 96*j**2 + 162*j**2 + 493*j + 38*j.\nAnswer: 258*j**2 + 531*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 1740145 - -7?\nAnswer: 1740153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = -15*m**3 + 27*m - 2. Let b(t) = t**4 - 16*t**3 + 26*t - 1. Let h(g) = -3*b(g) + 2*w(g). Find the second derivative of h(q) wrt q.\nAnswer: -36*q**2 + 108*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 918 and 3264.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1141444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 4696?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 334358?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 9.85*8\nAnswer: 78.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-492)\/(-82) - (283 + 0). Let s = o + 665. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*f**3 + f**3 + f**4 - f**3 + (3 - 3 - 2)*(-f**4 + f**4 + f**4) - 67*f**4 - 72*f**4 - 52*f**4.\nAnswer: -192*f**4 - 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = c - 4*c + 3. Let r = c - 4. What is the units digit of (r\/(-2))\/(12\/224)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*c**5\/17 + 10*c**4\/17 - 44*c**3\/17 - 96*c**2\/17 + 72*c\/17 + 54\/17 = 0 for c.\nAnswer: -3, -1\/2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1394, 1337, 1280, 1223?\nAnswer: 1166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -4 (base 12) in base 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) be the second derivative of r**5\/20 - r**4\/6 - r**3\/6 - 2*r**2 - 3*r. Let c be i(3). Suppose -c*l = d - 95, -3*l + 5 = -4. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1 - (-52)\/(-44))\/(9 - 924\/99).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k = -0*k + 3*h - 8, -2*k = -h. Let y be (-39)\/(-12)*k*-8. Let l = y + 49. Is l a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -17 (b) 15 (c) 3 (d) 2 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand -366 + 359*h**4 + 366 + (-2*h + 4*h - h)*(-3*h**3 + h**3 + h**3) + (4*h**3 + 0*h**3 - 5*h**3)*(-2*h + 0*h + 3*h) + 2*h**4 + 2*h**4 - 5*h**4.\nAnswer: 356*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 14656 and 2519.\nAnswer: 161216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r = 3 - 1. Let q(m) = 5*m**2 + 1 - 3*m**2 + 0 - 2*m. List the prime factors of q(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 6*t**4 + 4*t**4 - 7*t**4 - 2*t + 77 - 31*t**4 wrt t.\nAnswer: -112*t**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 1396\/5 (b) -0.2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 314 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 1224\/(-112) - (-1)\/(-14) - -10\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -161752342 or -161752343?\nAnswer: -161752343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -32*z - 1 = -w - 27*z, 0 = 2*w - 2*z + 6 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 14 a factor of 1512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w - 360 = -1564. Suppose 3*d - 614 = -2*n, 4*n + d - w - 626 = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 divided by 2351158\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 142156, 141195, 140246, 139315, 138408, 137531, 136690, 135891?\n\"Answer: x**3 - 968*x + 143123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u = 4*i - u - 24, -4*i = -2*u - 20. Suppose -5*y + 0 = -10. What is the first derivative of i*b - 3*b - b + 3*b**y - 6 wrt b?\nAnswer: 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n + 3*v - 2956 = 0, -5*v = 9*n - 10*n + 762. Calculate the remainder when 2260 is divided by n.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -0.018 (b) 0.1 (c) 114 (d) 49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:00 PM and 2:21 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = 470*v**3 + 1877*v**2 + 17*v + 38. What is o(-4)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = 0*u + 2*u**2 - 3*u**2 + 10*u - 5*u - 6*u**3 + 2*u + 9. Let c be p(-2). Is 31 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 1, v: 6, n: 3, m: 8}. What is prob of picking 2 v and 1 m?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = -13*o + 44. Let b(m) = -2*m**2 + 4*m + 3. Let h be b(0). Let z be d(h). Solve -z*t + 3*t = 10 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v + 5*o = -26, -48 = -4*v - 2*o + 6*o. Suppose 129 = v*l - 41. Suppose -l*y + y + 81 = 0. Calculate the lowest common multiple of y and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 3\/5 (b) -0.2 (c) 10 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is next in -8639, -68575, -231255, -548051, -1070335, -1849479, -2936855?\nAnswer: -4383835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) be the first derivative of -2*v**3\/3 + 6. Let r(u) be the third derivative of -5*u**4\/24 - u**2 - 18*u. Determine a(r(o)).\nAnswer: -50*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 203 is divided by (-708)\/(-20) + 4\/(-10)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = h**2. Suppose -2*y = -0*y. Suppose -40 = 4*p - 9*p. Let u(w) = y*w + 0*w + 4*w - p*w. Determine u(o(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -3\/5, -1\/11285056, -2\/11?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -60.5542 in 7, -1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 n and 2 b when three letters picked without replacement from nnnnbbbnnbbnnnbnnn.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Total of 0.5 and 23023573176757.\nAnswer: 23023573176757.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 303359734 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**4)**(-2\/63)\/(o**(-3)*o\/(o\/(o**12\/o))) assuming o is positive.\nAnswer: o**(-512\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7 + -1 + 2 + 11 + -6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b - 4*i - 12 = -2, -16 = 4*i. Let y(f) = -7*f - 73. Let a be y(-11). Sort a, b, -2, 3 in ascending order.\nAnswer: b, -2, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = n**3 - 8*n**2. Let x be d(8). Let r be -5 + (x - (-6)\/2). Let v be (0 + -1 - r) + 32. What is v rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 3\/(-15) + 1\/(-135)*3. Let x = -0.5 + 0.5. Which is the nearest to -1\/3? (a) -0.1 (b) x (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 42 - ((-78 - -68) + 21 + 0)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1391 and 214?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 30729 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a = 14 + -6. Let o = 3 - a. Sort -1\/3, -0.03, o in decreasing order.\nAnswer: -0.03, -1\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -464*i + 16 = -468*i + 3*x, 5*x = 3*i + 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -66840865 - 0.4.\nAnswer: -66840865.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 5.6567445 and -2355910?\nAnswer: 2355915.6567445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w = -29 - -33. Let y = 772\/11 - 70. Put -1, w, y in increasing order.\nAnswer: -1, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.8, 2.6, -1\/52?\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is next in 94, 87, 78, 67?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f = 24*f - 233220. Suppose f = 6*s + 2601. Is 19 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve x = -a + 1, a + 2*x + 2*x + 5 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g be -5 - 2*(-26 - 3). What is the common denominator of g\/11 + 0*(-6)\/42 and (-127)\/(-87) - (-3)\/9?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kbbe when four letters picked without replacement from {b: 6, n: 3, l: 2, e: 6, k: 2, x: 1}?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + 0 + sqrt(300) + 0 + -4.\nAnswer: -3 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 0 (base 13) in base 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = g. Suppose 0*m + 6*m = 210. Let b = m + -24. Let c(n) = -17*n + 6. Let k(l) = 34*l - 11. Let h(u) = b*c(u) + 6*k(u). Give h(q(x)).\nAnswer: 17*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 147989, 147990, 147991, 147992?\nAnswer: 147993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x be -13*5 - (-13 + 8). Let v = x + 51. Which is the third smallest value? (a) -0.1 (b) v (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4 + -722191830317?\nAnswer: -722191830313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*a - 4*a = 20. Suppose -3*x = 5*w - 2092, 2*w - 1261 = -w + a*x. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = -695*h - 2784. Determine v(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y = -3*d - 2*y - 2, -2*d - y + 2 = 0. Suppose 2*r = 51 - 11. Calculate the lowest common multiple of r and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -752300, -752301, -752280, -752225, -752124, -751965, -751736?\nAnswer: -751425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o be 2\/(-2)*(42 + (-777)\/7). What is the highest common factor of 11937 and o?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/11, 6, 56 in decreasing order.\nAnswer: 56, 6, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z = -761 + 1606. Is 17 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g + 3*a - 27 = 0, -a + 5 = 4*a. Suppose 0 = -5*y - 4 - g. Let k = 0.7 + -0.9. Which is smaller: k or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (572\/24)\/(((-38)\/285)\/((-44)\/(-55))).\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 609148229?\nAnswer: 609148229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b = -1 + 5. Let k = 0 - b. What are the prime factors of -5*(27\/(-5) - k)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = -j**2 - j + 871. What is y(-31)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 5 (base 16) to base 14\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from lmml. Give prob of sequence ml.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 165000472?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 3119 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 3 (b) 77687.014 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: ((-24)\/(-216))\/((-4)\/(-8))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -17712*d - 1607451 = -172779 for d.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = -2*k**2 + 4*k + 1. Suppose -3*r - 20 = 2*r. Let v(y) = -3*y**2 + 3*y. Let p(g) = r*v(g) + 3*q(g). Find the first derivative of p(l) wrt l.\nAnswer: 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 17448495 and 150?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o - 5 = -17. Let n(r) = -r**3 + 29*r**2 - 118*r - 7. Let l be n(5). Solve -w - l*k - 8 = -0*w, -5*k = w + o for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = 11*p**2 + 5*p. Let g be j(-1). Is g at least 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.1487 + -5.1487. What is the nearest to 18 in n, -0.5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) be the first derivative of 5361*m**2\/2 - 5407*m + 3664. What is the derivative of n(p) wrt p?\nAnswer: 5361","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (2 - 2 + 1)*(-3*g + 2*g - g)*(-7 - 11 + 7) in the form b*g + l and give b.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 110 + -205 + 93 + 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -21386 times -17739?\nAnswer: 379366254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 99*b + 0*b = 10 + 188 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -8 + 12\/(-15) + 8\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 32.194*-1415.\nAnswer: -45554.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 55651134?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v = 25 - 38. Is 3 at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 20 - 44 - 455\/(-78)*198\/45.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 43633 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4\/22 - (5265\/1430 + 51\/(-6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = -x**3 + 8*x**2 - 10*x - 10. Give l(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m = 36 + 162. Let k be (m\/30 - 7)\/((-1)\/4). What is g in 54\/5*g**2 + 48\/5*g + k = 0?\nAnswer: -2\/3, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2543\/2 - -1272. Which is the closest to q? (a) 21 (b) 3\/7 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in seventy-six fifths of a kilogram?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r + 9 + 9 = -2*w, 1 = -r + w. Let s(a) = a**3 - 1. Let i(h) = 69. Let q(f) = r*s(f) - i(f). Differentiate q(l) with respect to l.\nAnswer: -15*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: (-84 - 3) + 155 + -89\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 303731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o be 0 + ((-21)\/102)\/(-7). Is 0 < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -14 times 117\nAnswer: -1638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -6 = -43*y + 40*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i be (12\/(-8))\/(6\/(-1916)) + 6. What is the highest common factor of 97 and i?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = 3*n + 6. Let z(w) = 8 + 6*w**2 - 3*w**3 + 4*w**2 + 11*w + w**2 + 2*w**3. Let o be z(12). Give k(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 14247087*b - 2*b**3 - b**3 - 3*b**3 - 7123543*b + 0*b**3 - 7123544*b.\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2265492.\nAnswer: 2, 3, 188791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose f - 4*f = 3. Let z(b) = 5*b - 1. Let o(t) be the first derivative of 2*t**2 - t + 3. Let c(n) = 4*o(n) - 5*z(n). Determine c(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*d + 7*d - 1 = -i, -2*d + 6 = 0. Let q(l) be the first derivative of 3*l - i + 5\/2*l**2 - 1\/3*l**3. Give q(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = 36*t**3 + 3*t. Let o(k) = -12*k**3 - k. Calculate -4*c(r) - 11*o(r).\nAnswer: -12*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 5*g**4 - 4*g**3 + 4*g**3 - 3*g**4 - 9*g**2 wrt g?\nAnswer: 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*l + 0*l + 111*n + 391 = -328 - 177, 4*l - 16 = 3*n for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i = -2110 - -2101. Put -0.19, i, -3 in ascending order.\nAnswer: i, -3, -0.19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -11 (base 8) to base 10.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 49 minutes after 11:57 AM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + ((5*(sqrt(252) + (sqrt(252) - sqrt(252)*-1)) - sqrt(252) - sqrt(252)) + -6*(1 + sqrt(252)) - (3 + (sqrt(252) - sqrt(252)*1*1))) + -1)**2.\nAnswer: -1176*sqrt(7) + 12544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 1911233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o be 469\/(-14) + (-6)\/4. Let p = 44 + o. Suppose y = -p + 9. Solve -2*j + 4*j + 10 = y for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 4113?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort 2039, 43, 121, 1.\nAnswer: 1, 43, 121, 2039","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = 1. Let k(r) = 2*r - 2. Let h(i) = -5*g(i) - k(i). What is the remainder when 32 is divided by h(-7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + ((-2 + (1 + sqrt(275) + (sqrt(275) - (sqrt(275) + 5)))*-2)*-5)**2.\nAnswer: -3000*sqrt(11) + 28398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = 4*i - i + 1 + 6*i - i**2 + 0*i - 8*i. Let y(q) = 24*q**2 - 16*q - 16. Let l = 37 - 36. Calculate l*y(j) + 16*p(j).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 21\/4 of a kilogram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = 7*n**2 + 383*n - 115. Let q be z(-55). Let t = -26.66 - -27. Which is the biggest value? (a) t (b) -4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = -3*f**2 - 25*f - 34. Calculate c(-15).\nAnswer: -334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 0 + 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = -32*z + 3. Let x(d) = d**2 - 118*d + 12. Calculate 22*k(o) - 6*x(o).\nAnswer: -6*o**2 + 4*o - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Does 2611 divide 69437207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-4)\/14 + (-130)\/(-14). Let c(q) = -1 + 211*q - 251*q + 44*q. Let h(y) be the first derivative of -17*y**2\/2 + 5*y + 3. Calculate v*c(a) + 2*h(a).\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 49, 15, -47, -143, -279, -461, -695, -987?\nAnswer: -1343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 10383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = -16*b - 20. List the prime factors of s(-9).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-26 - -22) + (-10 - -7) - ((33 - -1) + -7)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = m**2 + 2*m - 10. Let p be t(0). Let b be (4\/p + (-32)\/(-30))*240. Suppose -3*y = 2*z - 459, -z + b = -5*y - 76. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*r**4 - 4 + 4)*(-1 + 2 + 2)*(4 - 3 + 0 + (1 - 2 + 0)*(-3 + 3 + 4) + 3 - 5 + 0).\nAnswer: -30*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*sqrt(170)*-2 - sqrt(170))\/sqrt(10).\nAnswer: 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = 2*g**2 - 2*g + 11. Let c be k(-5). Let u = -39 + c. What is the remainder when 94 is divided by u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose b + 14 = 3*b - 2*q, 0 = -5*b - 2*q. Suppose -4*y - 5*x = -2149, y + 3*x - b*x - 538 = 0. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 176406883?\nAnswer: 176406883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 w and 1 q when three letters picked without replacement from {t: 1, w: 2, a: 1, u: 1, q: 1, m: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = 6*o**2 + 10*o - 1. Let a(d) = 3*d**2 + 5*d. Calculate -5*a(u) + 2*z(u).\nAnswer: -3*u**2 - 5*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 28090 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 9, h: 10}. Give prob of picking 2 o.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -87*a - 24 = -93*a. Suppose -2*n - 216 = -a*n. What is the remainder when n is divided by 32?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:34 PM and 4:16 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -35, -4, 1\/2, 4\/9, 3?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let -2*n**4\/13 + 24*n**3\/13 + 54*n**2\/13 + 28*n\/13 = 0. Calculate n.\nAnswer: -1, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9*c**2 + 2*c**2 + 4 + 5*c**2 - 2*c**2.\nAnswer: -4*c**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = -2*o - 19. Suppose 9*z = 6*z - 33. Let w be h(z). Suppose -d - t = 4*d - 14, 0 = w*d + 5*t - 4. Solve 9 = 2*j + d for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4 + -1 + 324\/(-60) + 3.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {v: 1, f: 1, o: 3}. Give prob of sequence ooov.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -p**4\/3 - 344620*p**3 + 7237058*p**2\/3 - 3790844*p + 5169335\/3 = 0.\nAnswer: -1033867, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = -3*l**3 - 4*l**2 - l + 5. Let f(o) = 2*o**3 + 3*o**2 + o - 5. Give 4*f(c) + 3*p(c).\nAnswer: -c**3 + c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b = 3.05 - 3.1. What is the smallest value in -1\/8, b, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o - 165 = 6*o. Let z = -20 - o. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 72\/20 + -4 - (-84)\/10. Suppose d*b - 6*b - 2 = 0. Let c be 6 + -10 + (7 - b). Sort 4, 0, 5, c in descending order.\nAnswer: 5, 4, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n + 3*n - 3 = 0. Let f(j) = 2*j**2 - 3*j + 14 - 13 - 3*j**2. Let k be f(n). Solve -4*z + k + 7 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -127 - -1050. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = -r + 44. Let m be 279\/45 + (-2)\/10. Is g(m) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = -p - 1. Let r(t) be the third derivative of -t**4\/12 - t**3\/2 + t**2. Let l(b) = 3*c(b) - r(b). Let q(v) = 2*v**2. Determine l(q(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.7776 * -0.3.\nAnswer: 0.23328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-171)\/(-10032)*16*5423\/17.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 9718398 a multiple of 285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(-4\/9))**40 assuming c is positive.\nAnswer: c**(-160\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -0.106+0.043117\nAnswer: -0.062883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 45460 divided by -5\nAnswer: -9092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = -o + 2. Let j be u(2). Suppose -w - 6 = -b + 22, 3*b + 5*w - 68 = j. What is the remainder when 77 is divided by b?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000001203 to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 w and 2 l when three letters picked without replacement from {d: 2, m: 1, w: 2, o: 9, l: 3}?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 70*q**2 - q**2 - 2*q**2 + 1001*q.\nAnswer: 67*q**2 + 1001*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 3381139476 to the power of 1\/2, to the nearest integer?\nAnswer: 58148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -797, -802, -807, -812?\nAnswer: -817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -2308b + 1?\nAnswer: -2308a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 37604 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) be the third derivative of 2*x**7\/105 - x**6\/6 - 4*x**5\/5 + 38*x**4\/3 - 160*x**3\/3 - 124*x**2 + 3. Suppose z(w) = 0. Calculate w.\nAnswer: -4, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 31451 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10652597 divided by 10652597.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c = -22.06 - -22. Let r = 0.2 + 0.8. Which is greater: c or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 102 - 101.18. Let r = x + -1.82. Are -2\/269 and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 475563533 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*j + 2 = 178. Calculate the remainder when (1 + 1)\/((-4)\/(-82)) is divided by j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (11 + 628)\/(122 - 113)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 3 times 0.48?\nAnswer: 1.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q = -75 - -91. Calculate the lowest common multiple of 22 and q.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c + 149 = 7*a - 6*a, -3*a = -2*c - 439. Let b = 11 + -31. Let q = a - b. What is the greatest common factor of 15 and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -3*n + 353 - 6*n**2 - 316*n**3 + n + 9*n - 2*n + 53 wrt n.\nAnswer: -1896*n - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2934*l + 3843*l + 6755*l to n + v*l and give v.\nAnswer: 7664","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 13\/4452 and -79\/3528?\nAnswer: 186984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 50 = -0*a - 5*a. Let n = a + 7. Let s be 2\/7 + n\/35. What is the third smallest value in s, 0, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = -c**3 + 8*c**2 - 8*c + 8. Suppose -49 = -39*w + 32*w. Calculate v(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = 2*s - 1. Let o(h) be the third derivative of h**4\/8 - h**3\/3 - 6*h**2. Calculate -5*o(q) + 8*y(q).\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s be 4 - 4\/(-60) - (4 + 354\/(-90)). Solve -3*y = -m - 4 - 7, -2*m - 18 = -s*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 49916.4 centuries to millennia.\nAnswer: 4991.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 5594384\/8 - -28*(-6)\/(-24) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 803 is divided by 5\/(5\/(-12)) - (35 + -253).\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*(-1 + sqrt(3) + 4).\nAnswer: -9 - 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Divide -13674 by -2279.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 470 minutes after 9:50 PM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*t - 38184182*t**2 - 438*t**3 + 38184182*t**2 + 4*t.\nAnswer: -438*t**3 - 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = o - 29. Let w be f(26). Sort -5, 6, -1, w in ascending order.\nAnswer: -5, w, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -4 + 24. Solve 8*i = 3*i - u for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {w: 1, i: 2, b: 2, e: 1, l: 1, a: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = -42*f**2. Let k(m) = -4*m - 34114. Determine k(u(p)).\nAnswer: 168*p**2 - 34114","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = g - 1. Let h(q) = 712*q - 2845. Let u be h(4). Let x(v) = -5*v + 14. Calculate u*m(n) + x(n).\nAnswer: -2*n + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort 212, 4, 2, -4, -14 in ascending order.\nAnswer: -14, -4, 2, 4, 212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 2\/7, 133, 5, 4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 1 (b) -1\/3 (c) 1\/2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 81826825?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 3, b: 1}. What is prob of sequence lb?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*m - 12*m + 1332. Suppose 7*u = 498 + m. What are the prime factors of u?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 2*z - 2)*(-1 + 3 - 3) - 2862*z + 1342*z + 1378*z - 2733*z - 1900*z.\nAnswer: -4777*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Does 403 divide 2357147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is (0 - (8 + -3)) + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) be the first derivative of o**4\/8 + o**3\/4 - 8*o + 2. Let r(y) be the first derivative of q(y). Factor r(i).\nAnswer: 3*i*(i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 165*v**3 + 6*v**3 + 349*v**3.\nAnswer: 520*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p be -2*(-10)\/(-8)*448\/(-80). Suppose g - p = 2*v, 5*g - 4*g = -2*v + 22. Calculate the remainder when 86 is divided by g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) be the first derivative of 2\/3*t**3 - 3 + t**4 + 0*t + 0*t**2. Find the third derivative of j(i) wrt i.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find s such that -1599\/4 - 1593\/8*s + 3\/8*s**2 = 0.\nAnswer: -2, 533","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) be the third derivative of 122*m**7\/105 + m**6\/60 + 11*m**5\/10 + 5*m**4\/24 + 152*m**2. What is the third derivative of q(o) wrt o?\nAnswer: 5856*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 10\/3 of a day?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*o + 4*o + 2350 - 2350 to the form h*o + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 1\/4, 4.4075, -13.24?\nAnswer: -13.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 879428 or 89?\nAnswer: 89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t be (3 + (-140)\/46)*2. Does 1 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 7 - 5. Suppose -3 = -3*f - g, o - 7 = -5*f - g. What is the units digit of (7 - 1)\/3 + f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 16268 and 2548.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = a**3 - 10*a**2 - 11*a + 1. Let s be g(11). Solve c + s = 5 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 147 is divided by 29.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 1627 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Add together 0.0505 and -47.\nAnswer: -46.9495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -2\/9, 0.9, 0.0439, -8\/7?\nAnswer: 0.0439","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 1, -4, 7321.64?\nAnswer: 7321.64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(-5*(sqrt(567) - ((sqrt(567) + 2 - sqrt(567)) + sqrt(567))) + -1)**2.\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 54*g + 133*g - 3550 = 26*g + 4178 for g.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = -4*w + 17. Let k(j) = j. Let z(x) = 7*x - 15. Let f(y) = 4*k(y) - z(y). What is the least common multiple of w and f(4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 21, 3, 2, -3, -1, -29, -15 in descending order.\nAnswer: 21, 3, 2, -1, -3, -15, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -131\/7560 and 335\/84*(270\/50 - 5).\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 26553 is divided by 69.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express -45 + 8 - 2*n + n as y*n + i and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -43247*r**2 - 39296*r**2 + 82512*r**2.\nAnswer: -31*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = -5*u. Let h(y) = -2*y + 4*y + 9*y - 5*y. Determine h(w(b)).\nAnswer: -30*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 5 (b) 3 (c) -187\/5 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 34116 is divided by 945?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 26761?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 12*z = 40 + 20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose k = -2*k + 6. Let r(j) = 6 + 39*j**2 + 3*j - 4 + 10 - 11*j**k. What is the units digit of r(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (2 - 3)*4\/(5\/((-20)\/(-8))). Which is greater: d or 6.75?\nAnswer: 6.75","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -30 + 13 - 8*s**2 + 17.\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in -142, -139, -130, -115, -94?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1383396555 to the nearest integer?\nAnswer: 1114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert -3 (base 11) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 13387610 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c = 135 - 134. Is ((-82612)\/(-38))\/(c + 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 247 - 185. What is the third derivative of n*x**3 - 19*x**3 - 3*x + 37*x**3 + 2*x**2 wrt x?\nAnswer: 480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in twenty-seven quarters of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 5111 to the power of 1\/2, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -14 (base 12) in base 13?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -58708 or -58666?\nAnswer: -58666","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -1.3 and 49949698?\nAnswer: -64934607.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y = -6317.97853 - -6318. What is y rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-12*p + 0*p - p)*(20*p**2 - p**4 - 20*p**2) + 6*p**5 - 111*p**4 + 111*p**4.\nAnswer: 19*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 338 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -117, -186, -279, -408, -585, -822, -1131?\nAnswer: -1524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v\/(v*v*v*v*v**13)*v*v\/v**(-23)*v)\/(v**(16\/3)\/(v*v**(-3\/10)*v)) assuming v is positive.\nAnswer: v**(191\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 501 minutes before 4:57 AM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = -2*t**3 + 303*t**2 + 4*t - 21. Let j(z) = -3*z**3 + 455*z**2 + 6*z - 34. Give 5*j(d) - 8*s(d).\nAnswer: d**3 - 149*d**2 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 2\/35 + (-65)\/((-86450)\/(-4864))?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = k + 2. Let l(h) be the third derivative of h**4\/12 + h**3\/2 + 15*h**2. What is -4*a(r) + 3*l(r)?\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 19 or 53\/3?\nAnswer: 53\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from rhdnhrrrdnnrpr. Give prob of picking 1 r, 1 p, and 2 d.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round -253.6 to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -853953*o**3 + 92*o**2 + 45*o + 27?\nAnswer: -5123718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -2686, -21921, -74132, -175807, -343434, -593501?\n\"Answer: -2748*r**3 + r + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 75124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = -y**2 - 6 - 7 + 13. Let u(w) = 3*w. Give t(u(z)).\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 51 a factor of 151678284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1029, 2081, 3131, 4179?\nAnswer: 5225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1996 + 2002. Let m(c) be the first derivative of 1\/2*c**j + 0*c - 4\/3*c**3 + 0*c**4 + 0*c**2 - 13 + 0*c**5. Find the third derivative of m(f) wrt f.\nAnswer: 180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l = -3*f + 30, l = 4*f - 27 - 19. Solve f*g + 14 + 10 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is six fifths of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = -7566 - -7566.0008629. Round r to five decimal places.\nAnswer: 0.00086","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 2 - (1 + -5 - (-15)\/15). Suppose -3*a + 8 = a, 4*u = b*a - 6. Let k(c) = c**3. Determine k(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/5, 51, -2 in decreasing order.\nAnswer: 51, -1\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-4)\/(-6))\/((-4)\/(-318)). Solve -2*q - 2*d = 0, -4*q + 5*d - 17 + a = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = 32*q**2 - 232*q - 337. What are the prime factors of l(33)?\nAnswer: 5, 41, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 1 (b) 2 (c) 2\/7 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -3*j**5 + 2*j**4 + 80*j**3 + 4917*j**2 wrt j.\nAnswer: -180*j**2 + 48*j + 480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y = -31378 + 31378.2. Let q = 0.3 - -0.7. What is the closest to 0.3 in y, -4, q, -1\/8?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 250984, 501964, 752942, 1003918, 1254892, 1505864, 1756834?\nAnswer: 2007802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*x + 102 = 9*x. Let t be (-28)\/x + (-16)\/24. Which is greater: t or -4\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -23.97 - -4729.2\nAnswer: 4705.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from qqurrvqnuuqm. Give prob of picking 2 q, 1 n, and 1 m.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 154439503 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = 22*o**2 - 207. Let x(k) = k**2. Calculate n(x(f)).\nAnswer: 22*f**4 - 207","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -2*f + 3. Let v be q(2). Let m be 0 + (4\/14)\/v. Which is the second biggest value? (a) m (b) 2\/11 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.3? (a) 2\/11 (b) -2 (c) -54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 47*f + 79 - 64 = -972 for f.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k = -78.6663261 + 1.0027541. Let u = 169.663465 + k. Let j = -92 + u. Round j to five dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8186 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 2\/2325 and 41\/1550.\nAnswer: 4650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1738, 1739, 1740, 1741?\nAnswer: 1742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -49\/248 and -77\/3114?\nAnswer: 386136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (278\/7645)\/(2\/(9 + 1)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor k**3\/7 + 93*k**2\/7 - 918*k\/7.\nAnswer: k*(k - 9)*(k + 102)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose f - 4*f + 15 = 0. Suppose s + f - 7 = 0. Find the second derivative of -5*h**s - 2*h - 2*h + 2*h**2 + h wrt h.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 75*f - 12*f**3 - 75*f - 2*f**3 + 5*f**3 + f**3 - f**3 + f**3 - 2*f**3 + (4*f**2 - f**2 - 2*f**2)*(0*f - f + 3*f) + f**2 - f**2 + 2*f**3 + f**3 + f - f.\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = -9 + w**4 - 15*w**3 + 2*w**4 + 10*w**3. Let l(p) = -2*p**4 + 4*p**3 + 9. Let i(f) = 5*l(f) + 4*v(f). Differentiate i(n) with respect to n.\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 3 - 1\/(4\/4). Suppose 0*r + 8 = g*r. Let q(s) = -s**3 - 4*s**2 - 4*s - 9. Calculate the remainder when q(-4) is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -648, -626, -588, -534, -464, -378?\nAnswer: -276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1088 and 18?\nAnswer: 9792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((2\/(-60))\/1)\/((-860)\/1880 - (-32)\/(-752)).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 19583?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = 4*t - 2. Let n be -4*(-2)\/(-28)*-7. Suppose n = b + b. Let i be d(b). Let r(q) = q**3 - 2*q**2 - q + 1. Calculate r(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 39 or -626\/783?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = i**3 - 4*i - 18*i**2 - 1 + 23*i**2 - 2*i**3 + 0*i**3 + 3. Give t(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 10571.92474 + -10508.33. Let z = 63.6 - r. What is z rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find y, given that 754*y**3 + 78420*y**2 + 78078*y + 412 = 0.\nAnswer: -103, -1, -2\/377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 c and 1 i when two letters picked without replacement from ciuucuuiiuiuuzu?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-3)\/(18\/6))\/((-1)\/4). Solve 2*c + 0*c - w = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 7 and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 27 = -7*y - 22. Let l(r) = -2*r**3 - 3*r**2 - 2*r - 2. Let f(a) = -6*a**3 - 9*a**2 - 7*a - 7. Calculate y*l(d) + 2*f(d).\nAnswer: 2*d**3 + 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = -5*h**2 + 2*h + 4. Let m be p(-5). Let w = -113 - m. Is 18 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.22963 - 1.455?\nAnswer: -1.68463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 87494 is divided by 87488?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 106 = -11*t + 64*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 0.3844076ml?\nAnswer: 0.0003844076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 835*k**2*l**3*t**2 - k**2*l**2*t**2 - 869*k**2*l*t**2 - 3*t**2 wrt l?\nAnswer: 5010*k**2*l*t**2 - 2*k**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 13*n + 2*h + 482 + 488 - 310 = 0, 3*n = -3*h - 165 for n.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -23 + (-23 - -25) + 27 - 58.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*z - 113437 - 61107. Let b be (1\/8)\/((-2)\/z). Let r = -2742 + b. Calculate the common denominator of -57\/2 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -5*s - o, 0 = -0*s + s + 2*o - 6. Suppose 0 = 20*u - 54*u + 34. Let w be (0 + -3)*(s - u). Let z(g) = -6*g - 1. Give z(w).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} {"text":"Question: Let d be 32\/7 - (-4 - (-75)\/21). What is the greatest common divisor of d and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 362 (b) 0.5 (c) -47\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 53313457?\nAnswer: 127, 419791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 3342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o be 3\/1*(-6 + 5). Which is the nearest to 0.5? (a) o (b) 1\/8 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = 5. Let i(p) = -p. Let o(x) = d(x) - 2*i(x). Let n(r) = 2*r + 6. Give 5*n(b) - 6*o(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -71788991.05664 less than -5?\nAnswer: 71788986.05664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jd when two letters picked without replacement from jddaajdaadd.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 83\/160 and (-111)\/(-6)*(-1)\/(-6).\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a = 4, 5*a = 5*w + 17 - 37. Suppose m + m - 32 = -5*l, 20 = 4*l + 3*m. Is 2 a factor of 0 - w\/8 - (-82)\/l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(1100) + sqrt(1100) + (sqrt(1100) - (-2*sqrt(1100) - sqrt(1100)))**2 + 5 - (sqrt(1100) - (sqrt(1100) + (1*sqrt(1100))**2*-2 - sqrt(1100))).\nAnswer: 10*sqrt(11) + 15405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = 2*o + 24. Let g(i) = -5*i - 48. Let t(q) = -3*g(q) - 5*v(q). Let h be 4\/(2 - 1) + 3. What is the tens digit of t(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose k = 3*u + 355 + 101, 0 = -2*u - 4. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o + 0*d = -3*d + 60609, 0 = -4*o + 2*d + 80812. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 13744 and 1552?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {f: 5, h: 5, n: 3, c: 1, l: 2}. What is prob of sequence nhll?\nAnswer: 1\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1248440 divided by 5.\nAnswer: 249688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m be (1 - (-11582)\/(-10386)) + 229\/2061. Is 1 less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 28 + -20. Let g be 3 - 2 - 1\/y*6. Solve g*q - 1\/4*q**3 - 1\/4*q**2 + 1\/4*q**4 + 0 = 0 for q.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 8.5 and -90.\nAnswer: -81.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 2200201 (base 3) to base 15.\nAnswer: 8ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 13045*f - 13040*f = r + 48, 2*r - 4*f + 42 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 783247197?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 2 + -3775557?\nAnswer: -3775555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = -x**3 + 9*x**2 + 300*x - 3. Let n be k(21). Calculate the greatest common divisor of n and 871.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(2\/3))**(-2\/19)*p**7*p**(-12) assuming p is positive.\nAnswer: p**(-289\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) be the first derivative of n**2\/2 - 12*n - 3. Let l be o(14). Solve -4*a + u - 6 = -a, l = -a - 4*u for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2956, -5901, -8848, -11803, -14772, -17761?\nAnswer: -20776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -100, -187, -260, -313, -340, -335?\n\"Answer: u**3 + u**2 - 97*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-57420)\/2320*12\/(-9)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = 2*p**2 - 24*p + 12. Let k be t(12). Solve k = 4*o + 3*f - f, o - f = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 146035 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = -2*r. Let x(l) = 3*l - 66 + 26 - 50 - 26 + 13. Calculate x(i(v)).\nAnswer: -6*v - 103","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 898413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 40 + -2 + (2 - -18) + (42 - 47)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3 - (-19 - 0)) + -29 + -3.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -1adf2 (base 16) in base 8?\nAnswer: -326762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((1*sqrt(264))\/sqrt(12))\/sqrt(2))**2*2 + (sqrt(11) - sqrt(88)\/sqrt(288) - sqrt(22)\/sqrt(2)*6).\nAnswer: -31*sqrt(11)\/6 + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is (-238)\/(-252) + (-378)\/324?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*c - 13976 = -13934. Solve 5*f = 4*i - 9, -c*f - 6 = -2*i - i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = 268*n - 1874. Let d be q(7). Solve -593 = -d*l - 579 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 22 and 59678010?\nAnswer: 656458110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p**(5\/4)*p)\/p)\/(p\/p**(4\/5))*(p*p*p**(-1))\/(p*p*p*p**(-4\/11)\/p*p) assuming p is positive.\nAnswer: p**(-129\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) be the first derivative of -u**4\/4 + 13*u**3\/3 - 13*u**2\/2 - 10*u - 1. Let w be b(11). Let p = w - 35. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.5 - 0.4. Let t = -0.2 + o. Which is the closest to t? (a) 4 (b) 0.5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) be the first derivative of v**6\/120 - v**5\/12 + 5*v**4\/12 + 3*v**3 + 11. Let t(o) be the third derivative of r(o). Is t(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*h**2 + 0*h**2 - 3*h**2)*(2 - 1 - 2)*(-12908*h**2 - 17540*h**2 - 5170*h**2 + 3757*h**2).\nAnswer: -31861*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1511 - 1241. Calculate the smallest common multiple of j and 405.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -117*k - 124*k + 359*k - 124*k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:23 AM and 8:18 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*y**3\/3 - 108804*y**2 - 2217560004*y + 86650410132.\nAnswer: -4*(y - 39)*(y + 40821)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find q, given that -q**4\/6 + 11*q**2\/6 + 3*q + 4\/3 = 0.\nAnswer: -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 3 and 2746239.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 1628537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 54093?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) be the first derivative of -30 - 3*t - 3*t + 29 - t**2. What is the derivative of u(c) wrt c?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 161315461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -0.3 (b) 2\/3 (c) -1 (d) 3\/344 (e) -6 (f) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*i = 91*n - 96*n - 10, 3*n = 5*i + 28 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Divide 988356 by -21486.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = k**3 - k**2 - 2*k - 147. Let v be n(0). Let h = 398 + v. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 142303.8 to the nearest one thousand.\nAnswer: 142000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/5, -160, 10880\/3 in descending order.\nAnswer: 10880\/3, 1\/5, -160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*t + 3 - 13. Let d(m) be the third derivative of m**4\/24 - m**3 - 4*m**2. What is d(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = 4*m**3 + 3*m**2 + 2*m - 21. Let k(h) = -5*h**3 - 2*h**2 - 3*h + 21. Calculate 3*k(x) + 4*s(x).\nAnswer: x**3 + 6*x**2 - x - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = -2*q**4 + 21. Let g(m) = 2*m**4 - 20. Let f(b) = -4*g(b) - 3*r(b). What is the first derivative of f(v) wrt v?\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) be the second derivative of 2*d**3\/3 + 2*d. Let x(m) = -5*m - 1. Let r = -15 - -21. Suppose r = -4*t - 6. Calculate t*i(z) - 2*x(z).\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -3553, -3515, -3477?\n\"Answer: 38*d - 3591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = -82 - -96. Let b(c) = -10898*c**2 - 10 + 10220*c**2 + 15*c + 103228*c**2. Let f be b(k). What is f rounded to the nearest 1000000?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = -v**3 - 44. Let o be h(0). Let m = -96 - o. Let l = 92 + m. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6 - (1 + 3) - (142 - 159).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d = 22 + -67\/3. Let j = 4.4 - 4. Let y be (-2)\/4 + 6\/(-4). Which is the closest to d? (a) 1\/5 (b) j (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 665077?\nAnswer: 7, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d be -1 - 0*2\/(-4). Let y(n) = -36*n - 3. Let m be y(2). Let c be (-12)\/m*(-10)\/(-12). What is the closest to 2\/7 in -2\/9, c, d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1458*c = -1459*c + 3*q - 19, 0 = -5*c - q - 15 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 9b + 4?\nAnswer: a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (14*a + 11*a + 12 - 16*a)*(-4*a**3 + a**3 + 4*a**3).\nAnswer: 9*a**4 + 12*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 76610927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 522*b**3 - 348*b**3 - 171*b**3.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.03289047 from -39032.\nAnswer: -39031.96710953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = 2*w**3 - 20*w**2 + 11*w + 17. What is h(9)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t = 4 + -12. Let w = 10 + t. Solve w*y = 4*o + 3*y + 4, 0 = -2*o + 2*y - 12 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -16 + 6 = -5*q - 5*k, 0 = -4*q - 5*k + 10 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-3)\/27*0 + -155. What is the units digit of (-198)\/(-33) - d\/(-2)*-6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n = -4*m, -3*m = -3*n + 5*n - 20. Let l(b) be the first derivative of 0*b**3 - 3*b**2 - 2 + 0*b - 1\/4*b**m. Find the second derivative of l(v) wrt v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**(2\/15)\/r*r*r\/(r*r*r\/(r\/r**(-5\/3))*r)*r)\/(r**5*r*r\/((r*r*r**(-7))\/r)) assuming r is positive.\nAnswer: r**(-61\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m = -441 - -437. Which is the third biggest value? (a) -25.5 (b) -0.4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 388302?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express -1596 - 650 - 1312 - 3*v + 0*v + 3*v - 5*v + 4*v - 6*v + 3*v + (-1 + 3 - 3)*(2*v + 2 - 2) in the form z*v + q and give q.\nAnswer: -3558","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v = 190.37 + -193. Let c = -0.63 - v. What is the closest to 1\/2 in 3, -2\/5, c?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*g**3\/15 - 13360*g**2 + 200398*g\/15.\nAnswer: 2*g*(g - 100199)*(g - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 73345540?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = -1054*k**2 + 1081*k + 3. What is p(1)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) be the second derivative of r**5\/120 - 83*r**4\/72 - 169*r**3\/36 - 85*r**2\/12 - 1581*r. Determine k, given that w(k) = 0.\nAnswer: -1, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 7\/(-4) + 2 + 43\/4. Solve 5*h + 14 + r = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 11\/837 + 4141\/3348. Factor 5\/4*y**3 - 10*y + a*y**2 - 15.\nAnswer: 5*(y - 3)*(y + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0 - -73 - (-1674 + 1731)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10376 is divided by 107?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-22)\/(-8) + (16\/4)\/16. Find the third derivative of 16*o**3 - 418*o - 50*o**3 + 409*o + 84*o**3 + 159*o**m - 11*o**2 wrt o.\nAnswer: 1254","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -15929.468 to the nearest 100.\nAnswer: -15900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 2, q: 3, c: 7, b: 3}. Give prob of sequence cxq.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-20)\/(-18))\/(-10) - (-328)\/360. What is the fourth biggest value in i, -2, 4, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = -9*m + 13. Let c = 26 - 32. Let o(w) = -2*w + 3. Let z(b) = c*t(b) + 26*o(b). Let y(h) = -3*h. Calculate y(z(k)).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*i + 166 = -8*n + 26, -32*n - 88 = -29*n + 2*n + 2*i for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 13450?\nAnswer: 2, 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 2798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = -38452*a**2 + 6*a + 3. Let d be b(6). Suppose 0 = -6*i - 3230970 - 2254428. Let q = d - i. Round q to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1570 (base 13) to base 9.\nAnswer: -4261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*(0 + sqrt(304) + 4 + 4 + (-1 + (sqrt(304)*-2 - sqrt(304)))*1))**2.\nAnswer: -1792*sqrt(19) + 20240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0 - -2. Let g be 0 + ((-5)\/(-7) - 1). Let q = -367\/5 + 73. Which is the nearest to g? (a) w (b) q (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -249524 divided by 44.\nAnswer: -5671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 22392.\nAnswer: 2, 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 6 + 2)*(2 - 4 + 1)*(5 - 5 - y).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Multiply -73 and -122033.7.\nAnswer: 8908460.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -112100 + -112220022?\nAnswer: -120102122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*j - 3*j + 5. Let w(d) = -d + 10. Let q be w(j). Is 2 at least q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 11*j - 101 + 437 = 59*j for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((19 - 17) + -38)*(-5)\/4. What is the highest common factor of c and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -10 + -310?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s be -4 + (-1)\/3 + (-323)\/(-51). Solve -3*n = 2*t - 1, 2*n = -s*t + n - 5 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1 + -0.9. Let l = 9\/92 - -987\/1196. Let d = -86\/65 + l. Which is the third smallest value? (a) d (b) m (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 7 - 80)*(-1 + 1 - 3)*(-p**2 - p**2 + 3*p**2)*(-p**2 + 1 - 1) - 4*p**4 + 2*p**4 + 0*p**4.\nAnswer: -260*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:44 AM and 10:13 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*n = -4*n. Let u = n + -5. What is the smallest value in u, -3, 2\/9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 10761?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 24.794 - -0.4479?\nAnswer: 25.2419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 17 a factor of 8245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor -4 + 175*v**2 - 86*v**2 - 91*v**2 - 6*v.\nAnswer: -2*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -215 * 71.8566.\nAnswer: -15449.169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 23, 88, 277, 656, 1291, 2248, 3593?\nAnswer: 5392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is ((-43)\/(23650\/220))\/(4\/130)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify z**(-2\/17)\/(z*z*z**(-42)*z) assuming z is positive.\nAnswer: z**(661\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w*w*w**(1\/7)*w*w)\/w**(-7))**(3\/4) assuming w is positive.\nAnswer: w**(117\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 121704?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = -2*o**3 - o**2 + 48*o - 203. Give j(4).\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from oossossoos.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = x**3 - 8*x**2 + 8*x - 2. Let z be 12\/20 + (-128)\/(-20). Calculate i(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = -5*y**3 + y**2 + 5*y - 2. Let x(v) = 6*v**3 - 5*v + 3. Let f(n) = -5*l(n) - 4*x(n). Let i be f(4). Let m be (0 - -3) + 108\/i. Is m >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-777)\/(-9) - 1*(-1)\/(-3). Suppose -78 + v = 4*h. Suppose k - 3*f - 5 = 2, k + h*f = 7. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) be the third derivative of -11*l**8\/3 - l**6\/120 + 109*l**5\/5 + 7*l**2 + 55. Find the third derivative of k(n) wrt n.\nAnswer: -73920*n**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*i = l - 26, 5*i + 17*l - 24 = 18*l for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = -c**3 - 2*c**2 + 33*c + 10. Let k(z) = 2*z**2 - 4*z + 12. What is the smallest common multiple of j(-7) and k(4)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -4 - 1104?\nAnswer: -1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 547 minutes before 4:23 PM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:10 AM and 5:26 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 19 + (-1 - 34) + 3 - (0 - -7).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = -n + 3. Let a be h(0). Let m be -4 - 4\/6*(-7 + 4). Put m, 4, a in increasing order.\nAnswer: m, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*h**4 + 3*h**3 - 36*h**2 + 12*h + 48.\nAnswer: 3*(h - 2)**2*(h + 1)*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 j and 1 x when two letters picked without replacement from {x: 3, j: 5, g: 1, l: 3}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) be the third derivative of 17*z**5\/60 + z**4\/12 + 16*z**2. What is the second derivative of q(m) wrt m?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 338707, 677440, 1016173, 1354906, 1693639, 2032372?\n\"Answer: 338733*k - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 393? (a) 6\/11 (b) -4 (c) 5 (d) -209\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -5249384 divided by -1312346?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h = -361 - -395. Calculate the highest common divisor of 17 and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 67\/5157 and 36\/3179?\nAnswer: 16394103","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 86476673 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.09 + 8.91. Let z = -38864.9994 - -38856. Let a = k + z. Round a to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = -a**3 + 10*a**2 + 6*a - 12. Let m be f(8). Suppose 3*p - m = -23. Suppose 48*y - p*y = 0. Solve y = -v + 6*o - o + 2, 2*v = 2*o + 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + (((-6*sqrt(54) - sqrt(54))\/sqrt(9))\/sqrt(3) - (-4*sqrt(12)\/sqrt(6) - (sqrt(24)\/sqrt(3) + sqrt(8))\/sqrt(4))))**2.\nAnswer: -10*sqrt(2) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 4540*h - 4391*h = -596 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d + 965 + 66236 = 5*t, 0 = -2*d - 3*t + 33603. Suppose -4206 = 5*u + d. What is u rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (18 + 8*u - 16 - 2)*(-4 + 4 - 1).\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*q**3 - 4*q**3 + 3*q**3 + (-4 + 4 + 2*q**2)*(q - q + 2*q) + q**3 - 2*q**3 + 3*q**3.\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1313.\nAnswer: 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*n = -4*n - 20. Let g = 27\/5 + n. Let s = -1.3 + 0.3. Is s not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ccuyyyyylbcvy. What is prob of picking 2 y, 1 v, and 1 b?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort -57, -7, 2, 4, -1, 11, -14 in descending order.\nAnswer: 11, 4, 2, -1, -7, -14, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) be the first derivative of -38\/5*h**5 - 15 + 0*h + 0*h**4 + 1\/3*h**3 + 0*h**2. What is the third derivative of d(q) wrt q?\nAnswer: -912*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1 + 88*p**2 + 2*p - 266*p**2 - 107*p**4 - 2*p**3 + 88*p**2 + 90*p**2 to r*p**4 + m*p**2 + j*p**3 + v*p + o and give r.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) be the second derivative of c**6\/120 - c**3\/3 - c**2\/2 - c. Let j(p) be the first derivative of m(p). What is the derivative of j(u) wrt u?\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*l = 734 - 1443 + 729 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -17, -15, -13?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = -23.62 + 23.42525. Round f to 3 decimal places.\nAnswer: -0.195","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = 944*h - 336. Let v(i) = 315*i - 112. Let n(f) = 14*v(f) - 5*w(f). Differentiate n(t) with respect to t.\nAnswer: -310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -91, -277, -583, -1069, -1795, -2821, -4207?\n\"Answer: -10*v**3 - 116*v + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = 5*q + 3. Let c(x) = -11*x - 6. Let m(o) = -7*b(o) - 3*c(o). Let i(k) = -k**2 - 2*k - 4. Give -2*i(y) + 3*m(y).\nAnswer: 2*y**2 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 32 and 22000.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u = -109 - 27. Let t = -77 + u. Does 11 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 85 a factor of -19 + 1 + (-4317084)\/(-563)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 2\/(-4)*4\/(-11). Suppose 0 = 2*f + 2, 18*x - 23*x = -3*f - 43. Which is the fourth biggest value? (a) 0.4 (b) x (c) 4 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand -s**3 - 14*s**2 + 14*s**2 + (-49 + 19*s**2 + 49)*(5*s - 2*s - s).\nAnswer: 37*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -0.08 (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j + 6 = j. Suppose -4*c + j*d = -2, 0 = -0*c + 5*c - 3*d. Let f = 2 + -2.1. What is the nearest to f in -0.2, c, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dx when two letters picked without replacement from {m: 1, g: 1, e: 1, x: 1, d: 2, l: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -86 + 69 - (-2 + -23)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 5681025 and 135?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y = -443.22 - -10.22. Let z = -435 - y. Which is the fourth biggest value? (a) -1\/3 (b) -0.3 (c) 10 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 17966, 35835, 53716, 71615, 89538, 107491, 125480?\nAnswer: 143511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 350567 is divided by 447?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put 0.4, 4, -740 in descending order.\nAnswer: 4, 0.4, -740","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (93 - 93 + 2*a + 5*a**2)*(-2*a - 2 + 2 - 6*a + a + 4*a + (1 - 2 + 2)*(3*a + a - 2*a)).\nAnswer: -5*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v - 2 = -0*v - 2*w, -3*w - 9 = 0. Let n be (3\/(-9))\/(v\/(-24)). Suppose -l = -n*l. Solve 5 = 5*b - l for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n\/(n*n**(-1\/5))*n)**(-2\/31)*(n**(-1))**(19\/3)*(n**(-1\/3)*(n\/(n**(-1\/4)*n))\/n)\/(n**(5\/6)*n*n**(5\/4)*n) assuming n is positive.\nAnswer: n**(-3589\/310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1 - 1.08. Let j = -135\/77 - -11\/7. Which is the second biggest value? (a) -0.5 (b) l (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = -7*s**2 + 3*s - 3. Let y(g) = -g + 2. Give o(l) + 4*y(l).\nAnswer: -7*l**2 - l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-2585)\/105 + 2\/6. Let l = -391\/21 - k. Find the common denominator of l and 123\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o + 25 = 0, 2*r + 2*r - 4*o - 60 = 0. What is the remainder when (7 - 0)\/(2\/8) is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 242\/(-108053)*(-1363)\/(-58)\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*t**2\/3 + 34224*t + 102670\/3.\nAnswer: 2*(t + 1)*(t + 51335)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*r**3\/13 - 24*r**2\/13 - 34*r\/13 + 60\/13.\nAnswer: -2*(r - 1)*(r + 3)*(r + 10)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 735769 = 36*l + 34*l - 892711. List the prime factors of l.\nAnswer: 2, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -21.47 - -21.4. What is the nearest to 9 in z, -0.3, 0.1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (85\/(-680))\/((-2)\/(-6)). What is the smallest value in 2, 31, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(2*(sqrt(450)*2 + sqrt(450) + sqrt(450))\/sqrt(10))**2.\nAnswer: 14400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence sw when two letters picked without replacement from {s: 2, w: 11}.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f = 2*f - 4. Is f\/8 + (-310)\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + (2 + (-2 + sqrt(425))*-4 + sqrt(425) - (6*sqrt(425)*-2 + 1)) + 4)**2.\nAnswer: 720*sqrt(17) + 34489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_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: Find the second derivative of -31*y + 5*y**4 + 12*y**3 + 23*y + 3 + 13*y wrt y.\nAnswer: 60*y**2 + 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1090749295 to the nearest integer?\nAnswer: 33026","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = 119*k**2 + 9102*k + 4278. Determine u(-76).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) be the third derivative of 2*r**2 + 0*r**5 - 1\/6*r**3 + 1\/12*r**4 + 0*r + 17\/60*r**6 + 0. Does 13 divide u(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 79.425 + 0.775. Let b = -168.6 + c. Round b to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = 3*p**3 + 17*p**2 - 5*p + 14. Calculate the smallest common multiple of o(-6) and 128.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -5075817*11.3\nAnswer: -57356732.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s be 18 - (-6*(-8 - -7) + -1). Solve 3*o - 10 = -4*n, 5*n + 9*o = 5*o + s for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2043?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -16*w**3 - 12*w**3 - 11 + 0 + 7 + 4.\nAnswer: -28*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*t - 21 = -10*t. Is (267\/(-15))\/(t\/(-35)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 4695663, 4695662, 4695649, 4695618, 4695563?\nAnswer: 4695478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 16, -2, -43, 0.\nAnswer: -43, -5, -2, 0, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 2\/17, -3\/2, -4, -5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 25*v**3 - 1051*v**2 - 1028*v**2 + 2079*v**2.\nAnswer: 25*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -4, 0, 4, 699 in descending order.\nAnswer: 699, 4, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b - 22 = 3*s, -18 = 3*s + 3*b - 0*b. Let q be 3\/s*-4 + 6. Suppose 4*y - f + q = 0, 5*y - 4*y = -5*f - 18. Put 3, y, -2 in descending order.\nAnswer: 3, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.838529 + -0.838. Round v to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -f**2\/6 + 159847*f\/6 - 6065522.\nAnswer: -(f - 159619)*(f - 228)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 383200.8 rounded to the nearest 100?\nAnswer: 383200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -1050 - -2?\nAnswer: -1044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 w and 1 e when two letters picked without replacement from {e: 1, s: 2, h: 2, w: 3, t: 2, d: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 19954370?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-1 + -1 - -2)\/1. Suppose m = s + 4*q + 13, 5*q - 6 + 14 = -4*s. Solve -5*u + 5*x - 10 = 0, 0*x + 2*x - 6 = s*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 2375, 9396, 21079, 37436, 58479, 84220?\n\"Answer: 2*u**3 + 2319*u**2 + 50*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5\/25*(-230)\/759.\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 10859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l\/l**(-2\/7))\/(l*l**(-4\/5)))\/(l**(-1)*l\/(l*l\/(l*l*(l*l*l\/((l\/(l**(1\/2)\/l)*l)\/l))\/l)*l)) assuming l is positive.\nAnswer: l**(111\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put together -29 and -364.\nAnswer: -393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 98, 195, 292, 389?\nAnswer: 486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = h**2. Let u(i) = -i**3 + 2*i**2 + 495*i. What is -3*q(x) + u(x)?\nAnswer: -x**3 - x**2 + 495*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: (-1505)\/(-903)*(-6)\/70\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ka when two letters picked without replacement from kkkkawxa?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from tgktkiz. What is prob of sequence ki?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 137, 1058, 3553, 8408, 16409, 28342, 44993, 67148?\n\"Answer: 131*d**3 + d**2 + d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*a**2 - 2282840*a - 13697184.\nAnswer: 4*(a - 570716)*(a + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o = 5.788 + 0.112. Let p = 75 + -80.7. Let k = o + p. What is the nearest to 10 in 0.4, -2, k?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = -17*u**2. Let d be -9 - -11 - 21*-1*2. Let s(m) = 23*m - d*m + 23*m. Give s(p(i)).\nAnswer: -34*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a be -1*18\/(-66) + 3. Put a, -5, -3 in increasing order.\nAnswer: -5, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-2)\/(-3) + 7*(-15)\/144)\/1.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -2372 - -6692. Is j a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1.206 - 0.104. Let r = 64.69 - i. Let n = 66.0000024 - r. What is n rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 488 minutes before 5:55 PM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 3227025 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s = -5*u - 70, -5*s - 4*u = -336 - 14. Calculate the remainder when 347 is divided by s.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 131194534 to the power of 1\/2, to the nearest integer?\nAnswer: 11454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express -2*y**4 + 0*y**4 - y**4 + (-y - 3*y + 0*y)*(2*y**3 + 2*y**3 - 7*y**3) - y**4 + 5*y**4 - 3*y**4 as i*y**3 + b*y**4 + z*y**2 + u + h*y and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 52 minutes after 3:46 AM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h = -6 - 5. Let x = h + 16. What is the nearest to 0 in x, -2\/7, -3\/5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 420 minutes before 6:27 PM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = -14*g - 26. Let c = 3848 + -3840. Let o(h) = 9*h + 17. What is c*o(q) + 5*a(q)?\nAnswer: 2*q + 6","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} {"text":"Question: Express (-m - 3*m + m)*(0 + 2 + 2 - 4 + 3 + 3 + (-1 + 3 - 1)*(3 - 1 + 0)) as n + c*m and give c.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00084125392 to 7 dps.\nAnswer: -0.0008413","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = t**3 - 2*t**2 + 5*t + 2. Let k be l(6). Let z be ((-3)\/(-6))\/(1\/k). Let r be ((-3)\/9)\/(3\/(-72)). Calculate the greatest common factor of r and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1\/4 or -599316?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 6435 divided by -3\nAnswer: -2145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -8, -48, -116, -212, -336, -488, -668?\n\"Answer: -14*f**2 + 2*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/2? (a) 8 (b) -14\/9 (c) -20 (d) -1\/6 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = -o - 18. Let b = 28 + o. Suppose 475*g - 479*g + 2*i + 12 = 0, 0 = -3*g + 4*i + 9. Solve 3*w - 4 = -w, w + b = g*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -33904 - 112059 = 1889*h + 101496 for h.\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = a + 75. Let w(z) = 1522*z. What is x(w(t))?\nAnswer: 1522*t + 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor -2\/5 - 1\/5*a**3 + 3\/5*a + 0*a**2.\nAnswer: -(a - 1)**2*(a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-20*k + 8 - 9 + 0)*(-2*k**3 - 3*k + 3*k) to the form y + w*k**4 + r*k**3 + o*k + h*k**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -v**5 + 5252*v**4 - 2*v**3 - 1194*v - 4?\nAnswer: -20*v**3 + 63024*v**2 - 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-8)\/22)\/2 - (62 - ((-148672)\/(-704) + -58)).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = 6*a**2 - 212*a + 1422. What is x(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 437360 and 679.\nAnswer: 42423920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:57 PM and 8:53 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j = 99 - 62. What is the remainder when j is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 133534782 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zzzs when four letters picked without replacement from {z: 6, s: 12}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -180203871, -360407740, -540611609, -720815478?\n\"Answer: -180203869*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 10*k - 12*k + k + 4*k + 9*k**2 to w*k + b + s*k**2 and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = -6*x. Let y(s) = -23105*s. Determine b(y(v)).\nAnswer: 138630*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dqlw when four letters picked without replacement from wdqdmqqmqlwd.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -9\/440 and 54\/10615.\nAnswer: 84920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b = 3809.29047 - -0.10953. Round b to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-116)\/15138)\/(4\/36)\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -16.6 - -19.15. Round a to one dp.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) be the first derivative of m**2\/2 - 41*m - 32. What is the common denominator of c(-6) and -35\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (248*b**3 + 347*b**3 - 1134*b**3)*(2*b + 0*b - b) to k + j*b**2 + d*b**4 + z*b + g*b**3 and give d.\nAnswer: -539","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express (-4*b + 4*b + 3*b**2)*(-589*b - 1062 + 1062) in the form d*b**2 + x + i*b + a*b**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = -48480*u**2. Let i(x) = -44*x. What is i(d(t))?\nAnswer: 2133120*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 + 1 + 25031*s + 2541*s.\nAnswer: 27572*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*h + 6, -d + 5*h = 4*d - 15. Let x(f) = f**3 + d + f**2 - 1 + 0 + 2*f**2. Give x(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*((0 + 1*sqrt(128)*4*3)*1)**2*-4.\nAnswer: 221184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1 + 0 + 0)*(7*t + 12*t - 7*t)*(1 - 5 - 1) to w*t + g and give w.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -0.0973 - -261954\nAnswer: 261953.9027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 110317 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g = -0*g - 12. Suppose -i = -4*i + g. Let l = -90301 + 90302. Which is the nearest to -0.1? (a) -3 (b) i (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10.16 rounded to one decimal place?\nAnswer: 10.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = 2*g - 12. Let i be p(11). Let v(m) = -2*m - 11. Suppose 2*z = -z - 24. Let b be v(z). Solve t - 4*o = 2*t - 2, 5*t + b*o = i for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 378 and 3024.\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r + 22 = 5*f, 0*f - 2*f + 2*r = -8. Let w = f + 23. Does 14 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(52)\/(sqrt(28)\/(sqrt(7)*-2)))**2 - (sqrt(52)*-1 + 5)**2.\nAnswer: -25 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/(-8)*(-34)\/1428*-28?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f = 5*k - 604, -2*k - 5 + 233 = 5*f. Suppose -k*l - 27 = -127*l. Calculate the smallest common multiple of (1\/(-5))\/((-10)\/50) and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 29b9 (base 12) in base 9?\nAnswer: 6636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*m + 2*m - 2*m**2)*(104*m - 160*m - 706*m)*(0 - 5 + 4) - 3*m**3 + 0*m**3 + 2*m**3 + (-2*m - 3 + 3)*(2 + 2*m**2 - 2).\nAnswer: -1529*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = 3*n. Let t(h) = -6*h + 146. What is t(x(z))?\nAnswer: -18*z + 146","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put together -1.7 and -28358.\nAnswer: -28359.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -392*b**4\/5 + 1400*b**3 - 11538*b**2\/5 - 1756*b\/5 - 64\/5 = 0.\nAnswer: -1\/14, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7198 is divided by 225?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = 11*o**3 + 10*o**2 - 7*o - 11. Suppose 28*l - 84 = 31 - 3. Let h(u) = -6*u**3 - 5*u**2 + 4*u + 6. Determine l*j(b) + 7*h(b).\nAnswer: 2*b**3 + 5*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) be the third derivative of 5*z**4\/8 - 29*z**3\/6 - 5*z**2. Let g be k(0). Let x be 42\/(-28) + 53\/(-2). Is g < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0.104, 1, -1\/3, 2 in decreasing order.\nAnswer: 2, 1, 0.104, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -39 = -5*q + 16. What is the least common multiple of 16 and q?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in 2\/3, 0.1, 1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is fourty-eight fifths of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:56 AM and 9:02 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -12972 times -4\nAnswer: 51888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z = 2.45 - 1.95. What is the biggest value in 0.11, -3\/4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 4*(-5 - (1 - 0)). Let a be -1 + 2 + u\/(-6). Let n be (-5)\/(-5) - (1 + -2). Solve -a*m = -n*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -36 - -54. Suppose b - 2*r = -w, -5*b - 4 - 11 = 5*r. What is the remainder when 1 - b*(-3)\/(-1) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 254*u = -84 - 8354 + 818 for u.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor m**2\/9 - 421385*m\/9 + 421384\/9.\nAnswer: (m - 421384)*(m - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Add together 0.2 and 22.08.\nAnswer: 22.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11 - 16 = 5*z. Let k(h) = -h**2 + 17*h + 14. Calculate the remainder when k(10) is divided by (-21 + (4 - 0))*z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j = 4*k + 100 - 554, 0 = -5*j + 15. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-25)\/4*6096\/3810.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = -96686 + 97087.21. Let f = -401 + h. Which is the closest to 0.1? (a) -0.1 (b) f (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -q**2 + 1663 - q**3 - 3374 - 33*q + 1688 as d*q**2 + w*q**3 + y + x*q and give x.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3464*d - 8*d**2 - 3464*d.\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wwww when four letters picked without replacement from wtwttttwwtwttttttt?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 1564228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = -17*u + 51. Let g be (-300)\/(-250)*(18\/4 + -2). Let l be j(g). Let d = -8 - -11. Solve -2*b - b - 3 = 3*k, l = -3*k + d*b - 21 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-20 + 20 - 43*k)*(3*k - 6*k + 4*k + 10).\nAnswer: -43*k**2 - 430*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 h and 1 t when two letters picked without replacement from sstgxhxg.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 835 a factor of 3192859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -151\/9690 and 20\/117249.\nAnswer: 1172490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(-1)\/k*k*k**(2\/5)*k*(k\/(k\/((k*k\/k**(-2\/27))\/k)*k)*k)\/k*k**(-1))**43 assuming k is positive.\nAnswer: k**(-3053\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p = b - p, p + 3 = b. Let x be 2*(b + 21\/(-14)). Let u(k) = -k**2 - 5*k + 3. Let r be u(-5). Solve -r*a - 4 = -x for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = 3*i + 37. Let h(j) = 4*j + 3. Let g be h(-4). Let a be k(g). Let m(n) = n + 26. Let s(x) = -5. Determine a*m(f) - 11*s(f).\nAnswer: -2*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c = -93 + 89. Let i be (-264)\/224 + (-1)\/(c\/3). Let q be (-2)\/(-5) + 166\/10. What is the second biggest value in q, i, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d - 3*x - 3 = 0, -10*d = -11*d - 5*x - 31. Does 73 divide (d*7\/28)\/((-9)\/876)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 16*r - 21*r + 170. Suppose 39*x - r*x - 130 = 0. What are the prime factors of x?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 978284 rounded to the nearest 1000?\nAnswer: 978000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 103363 is divided by 96?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -113, -235, -367, -515, -685, -883?\n\"Answer: -r**3 + r**2 - 118*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3156 is divided by 560.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 16773?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4 + 18 + -16 + (43 - (12 + -16)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in twenty-one halves of a decade?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9\/((-243)\/(-60)) + (1 - 3).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose u = -3*c + 2, 3*u - 3*c - 54 - 12 = 0. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1288, -2577, -3866?\nAnswer: -5155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*p**3\/3 + 3650*p**2\/3 - 27616*p\/3 - 14720\/3 = 0.\nAnswer: -920, -1\/2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort -23345, 1.2, -2\/21, 7, 1 in descending order.\nAnswer: 7, 1.2, 1, -2\/21, -23345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13 + 2 = 3*p. Which is the nearest to -1\/5? (a) 10 (b) -0.2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 14234682?\nAnswer: 2, 3, 7, 11, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 7*c**6 + 4043877*c**4 - 229529186*c**2.\nAnswer: 840*c**3 + 97053048*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = -3*y - 2. Let c(n) = 125*n + 0 - 124*n + 0. Let w(o) = 2*c(o) + j(o). Give w(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange b - b - 2*b**2 + (b**2 - 2*b**2 + 0*b**2)*(1 + 2 - 2) + (-1 + 0*b**2 + 3 - 2*b**2)*(12 - 10 + 9) to the form x*b**2 + r + v*b and give x.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = -1051*w + 2. Let b(v) = -23*v. Give b(g(q)).\nAnswer: 24173*q - 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (-y - 3*y + 7*y)*((-2*y + 2*y + y)*(0 - 3 + 2) + 2*y + 0*y - 4*y).\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = 3*r**2 + r + 2. Determine u(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 845 - 837 + 3*x + x.\nAnswer: 4*x + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 675352 to the power of 1\/2, to the nearest integer?\nAnswer: 822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 6019759579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round 0.02451938 to three dps.\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y = 41 + -37. What is the second derivative of 34*z + 61*z - 39850*z**2 - 12*z**4 + 39850*z**2 + y*z**5 wrt z?\nAnswer: 80*z**3 - 144*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d = 29 + 7. Suppose -w = 4, x - 5*x - 4*w = -36. Let v = d + x. Solve 0 = -v*s + 5 + 3 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*y - 26653 + 26627 = -4*w - 5*y, -2*y = -2*w + 6 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 8*c - 4 + 12. Let v be ((-7)\/(-14))\/(c\/(-2)). Solve 4*j = 5*j - v for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1011111011001010101 + 1101101001?\nAnswer: -1011111001011101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 0 less than or equal to 66\/456337?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*h + 5 = 13*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y + 7*y - 7*y = 12. What is the remainder when 91 is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*w - 57 - 180. Suppose -4*v - 56 = -5*i, 5*i - v = w - 20. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-42)\/((-2898)\/1857) - (9 - -18).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:12 PM and 6:21 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = 109 + 258*c + 125 - 253. What is the units digit of g(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 1080\/(-16)*292\/5. What is the remainder when (1\/(-2) - 1)*x\/81 is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -0.02, -2, -1\/83 in descending order.\nAnswer: -1\/83, -0.02, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -216*i - 4512 = 160*i for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 2174*i = -2254*i - 860*i + 412464 for i.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 467, 219, -29?\nAnswer: -277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.06 - -2.94. Sort -1, 0.4, t in descending order.\nAnswer: t, 0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 3585174913?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*v**2 - 540*v - 19737 = 0.\nAnswer: -129, -51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jg when two letters picked without replacement from rjg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = 3*s. Let v be m(1). Let f(l) = -3*l**2 + 4*l**2 + 0 - 1 - v*l - 2. Let r = -2 - -5. Determine f(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (w + w**3 - w)*(21 + 12 - 20 + (-13 + 5 + 5)*(2 - 2 + 4)).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 17963.\nAnswer: 11, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2095512?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 3 - -1133226?\nAnswer: 1133232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.022? (a) 1\/6 (b) -213\/46 (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r = 164 - 164.3. What is the nearest to -2\/7 in 4, r, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 10 + -8. Solve -7*q + 10 = -v*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.415 * -0.1\nAnswer: -0.0415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*p = -23*p + 32*p. Solve l = -m + 9, -2*l = -p*l + 3*m - 22 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 27571240?\nAnswer: 2, 5, 479, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 610 minutes after 12:25 PM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*b**4 + 5*b**4 + 3*b**4 + 15*b**4 + 32*b - 32*b + (-5*b**2 + b**2 + 2*b**2)*(7*b**2 + 5*b**2 + 4*b**2).\nAnswer: -9*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 78, 0, 4 in descending order.\nAnswer: 78, 5, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 8, x: 3}. Give prob of picking 1 x and 1 j.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in three sixteenths of a week?\nAnswer: 1890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = -7*h**2 - 4*h - 7. Let x(s) = 0 + 6*s + 5 + 6 + 11*s**2. Give -8*a(f) - 5*x(f).\nAnswer: f**2 + 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-6)\/9*(-1)\/12)\/(24\/96).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -15*s - 25 - 65 = 0 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -0.07 times 101714?\nAnswer: -7119.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*y + 4*q = 0, 3*y + 151 = -2*q + 167 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) be the second derivative of -a**9\/15120 + a**7\/2520 + a**4\/6 + a + 4. Let q(g) be the third derivative of m(g). Factor q(n).\nAnswer: -n**2*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2658 + -1751. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -f**5\/4 + 3507*f**4\/4 + 7017*f**3\/4 + 3509*f**2\/4.\nAnswer: -f**2*(f - 3509)*(f + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express (27*q - 61*q + 48*q)*((1 + 0 + 4)*(-1 + 3 - 1) + 0 + 2 + 0) as m + p*q and give p.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(-5*(1 + sqrt(17)) + 4 + 0)**2.\nAnswer: 10*sqrt(17) + 426","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*b - 7 = -z, 4*b = -3*z - 18 - 9 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 29*p**2 + p**3 - 354 - 25*p**2 + 99*p - 100*p to r*p + x + u*p**2 + c*p**3 and give x.\nAnswer: -354","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x = -j - 3051, -3*j - 1 = -4. Let c be ((-14469)\/42)\/(-53) + 3*3\/18. What is the greatest common factor of c and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 8\/5*r**5 - 1836\/5 + 180*r - 7*r**4 - 38*r**3 + 93*r**2 = 0 for r.\nAnswer: -3, 2, 51\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 88 = -121*r + 132*r. Let d be ((-141)\/(-94))\/((-1)\/(r\/9)). Let u(y) = -y - 3. Let t be u(-3). What is the third biggest value in d, -2, t, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 778421 is divided by 129418?\nAnswer: 1913","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j + 8 + 7 = 0. Let k(v) = -v**3 - 6*v**2 - 4*v + 6. Let n be k(j). Let z(w) = 3*w**2 - w. What is the units digit of z(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 394465217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z - 2*z + 300 = 0. Calculate the highest common factor of 10 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.35 + 0.35. Let g be 3\/18*-1*(1 + 2). Which is the closest to j? (a) 5 (b) -2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6572 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y be 21 + -16 + 94\/12 - (-3)\/18. Solve -11*d = o - 16*d + 7, 0 = o + 5*d - y for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.4? (a) -0.1 (b) -5 (c) 554 (d) -0.04 (e) 4\/7 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2*l*w**5 + 861*l*w**4 - 3*l + 15*w**2 - 18*w wrt w.\nAnswer: -40*l*w**3 + 10332*l*w**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) be the first derivative of -74 - 11*f - 69 - 12*f - 12*f**2 - f**3 - 22*f. Suppose b(i) = 0. What is i?\nAnswer: -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1603169 + 1603171 + 26*f**2 + 247*f**2.\nAnswer: 273*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-3)\/70)\/((-18)\/(-16))*(-3285)\/(-2190).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 143\/1100520 and -151\/190328820?\nAnswer: 3425918760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i = 12952 - 12950. Let q(o) be the third derivative of 1\/60*o**6 + 0*o + 1\/15*o**5 - 32*o**i + 0*o**3 + 0 + 1\/12*o**4. Solve q(b) = 0 for b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 2615 and 10.\nAnswer: 5230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -248669, -248703, -248759, -248837, -248937, -249059, -249203?\nAnswer: -249369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:05 AM and 1:36 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s = 70338 + -224448556\/3191. Do 1 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 66334*c**2 - 33164*c**2 - 33168*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*n + n + 0*n - n**2)*(13 - 5 + 4).\nAnswer: -12*n**2 - 36*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*q**2 + 126899760*q - 1006471818003600.\nAnswer: -4*(q - 15862470)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = -18*m. Let r(n) = -6*n - 46*n - 105*n - 89*n - 15*n. What is -5*r(k) + 72*z(k)?\nAnswer: 9*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-8)\/(-142))\/((-3706)\/(-1853)).\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = -29797\/6 - -4937. Which is bigger: -28 or p?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1 = -12*w - 59, -23*w + 26*w = -2*y - 7 - 12 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 4, v: 9, h: 1, b: 4, c: 1, a: 1}. Give prob of sequence ba.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -1\/2, 5, -1\/6, -2479?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose l - 40 = -3*l. Let r be 7 - 4 - 1 - (-1)\/1. Suppose 0 = -r*d + d + l. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 4 - 9\/2. Let h be 63\/154*(-2)\/(-3)*2. What is the nearest to o in h, -2, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 14.1976098us to days.\nAnswer: 0.0000000001643241875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.14, 2199, 0.2, 73, 0.4, 1\/6, 2\/13?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + -3 + 2 + (9 - 10 - 5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o = 270 + 10. Suppose 4*b + 2*z = 310, -3*z = 2*b - 13 - o. Calculate the remainder when b is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -2414 by -5.\nAnswer: 2414\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor -24\/5*a**3 + 4\/5*a**4 + 0 + 48\/5*a**2 - 32\/5*a.\nAnswer: 4*a*(a - 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find o, given that -3*o**5 + 27*o**4 + 51*o**3 - 567*o**2 - 588*o = 0.\nAnswer: -4, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -39, -163, -373, -669, -1051, -1519?\nAnswer: -2073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*m**2 + 4990*m - 205325.\nAnswer: -5*(m - 955)*(m - 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -4\/3? (a) -2 (b) 63\/4 (c) -0.5 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 35 + -13534101?\nAnswer: -13534022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -34\/55 in -2\/3, 2, -351, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m be 11\/(-22)*(-5)\/(50\/(-4)). Put m, 10\/13, -0.4 in increasing order.\nAnswer: -0.4, m, 10\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 126 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -53, -269, -643, -1193, -1937, -2893?\nAnswer: -4079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 17 = 34*f - 51*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s = 162 - 157. Let y(j) = 3. Let v(n) = -14. Let h(x) = s*y(x) + v(x). Let b(d) = 4*d + 2. Calculate b(w) - 4*h(w).\nAnswer: 4*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 11410568 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -92, -97, -102, -107, -112, -117?\n\"Answer: -5*b - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) be the first derivative of 0*n + 0*n**2 + 29 + 1\/216*n**6 - 11\/3*n**3 - 1\/12*n**5 + 25\/72*n**4. Let w(f) be the third derivative of i(f). Factor w(l).\nAnswer: 5*(l - 5)*(l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -227689797 > -227689798?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(19) + (sqrt(133) + -2*sqrt(133))\/sqrt(7) - (sqrt(152) - sqrt(38))\/sqrt(2))**2 - (-2*sqrt(133)*-1 - sqrt(133))\/sqrt(7).\nAnswer: -sqrt(19) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -x**3 + 8*x**3 + 46*x - 10*x**3 - 7*x**3 wrt x?\nAnswer: -60*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2*13\/(26\/4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -4\/19, 34857, 1\/3, 2\/37, -1 in increasing order.\nAnswer: -1, -4\/19, 2\/37, 1\/3, 34857","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 4374, 17471, 39290, 69825, 109070, 157019, 213666, 279005?\n\"Answer: -a**3 + 4367*a**2 + 3*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-4)\/3)\/((-6)\/9). Let k(l) be the first derivative of -l**2 - 2*l - 7. Let d be k(-3). Which is the nearest to 1? (a) r (b) 5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((3*g - g + 0*g)*(3*g - 2*g - 3*g) - g + 3*g**2 + g - 6*g**2 + g**2 + 4*g**2)*(3*g - g + 0*g)*(2 + 1 - 1 - g)*(-3 + 2 + 0)*(6*g - 34 + 34).\nAnswer: -24*g**5 + 48*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5587322?\nAnswer: 2, 13, 17, 12641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 66 = 3*g - g. Is 6 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0.5, 52\/3, -5231, 4, 4\/3, -3 in ascending order.\nAnswer: -5231, -3, 0.5, 4\/3, 4, 52\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = 2*f**2 - 52*f - 1459. Let a be p(-17). Let g(n) be the second derivative of 3\/4*n**2 + 26*n + 0 - 5\/24*n**a + 1\/48*n**4. Solve g(s) = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = 7*y**3 - 9*y**2 - 6*y + 4. Let v(g) = 8*g**3 - 10*g**2 - 7*g + 5. Determine -5*a(p) + 4*v(p).\nAnswer: -3*p**3 + 5*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k - 5*s + 15 = 3, -3*k = 3*s - 18. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = 3*y**2 + 14*y - 4. Let m be 2\/(10\/(-15)) - 3. What are the prime factors of q(m)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 4\/3 + 10\/15. Suppose 7 + 167 = s*t. Round t to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -27*u - 1050 = -57*u. Solve 0 = -4*j + 4*q - 9*q - u, -2*j - 1 = -3*q for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 27678*y**2 - 24160 + 24160.\nAnswer: 27678*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 21 and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = -2*f, -12380 = 7*o - 12*o - 5*f. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 7 - (-16 + 33 - (3 - 10))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express (8071*d + 11641*d + 12530*d - 7054*d + 3129*d)*(2*d**2 - d**2 - 2*d**2) in the form c + b*d**3 + h*d + r*d**2 and give b.\nAnswer: -28317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:45 PM and 5:20 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Does 76 divide 1028287524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 7808641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d = 5*g - 35, -3*g + 26 = 4*d - 30. Let b = 1 - -7. Calculate the greatest common divisor of b and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -5\/8 + 7\/24. Let v(m) = m**3 - 14*m**2 - 13*m - 29. Let r be v(15). Which is smaller: r or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6 + 1 - 39*j + 2 - 2*j.\nAnswer: -41*j - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = -t**2 + 9*t + 3. Let c be w(9). Suppose 2*d = c*d - 10. Round d to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 31 + 44 = 5*i. Is 12 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -14455.017 to the nearest 100.\nAnswer: -14500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 2 = -3*x + p, 0 = 1297*x - 1302*x - 19*p - 272 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -0.001607 rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0670134 to 3 dps.\nAnswer: -0.067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-136)\/6)\/((-14)\/84). Suppose 5*b - 143 = -3*t + 102, 4*t - k = -3*b. Does 26 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = 4*i**2 + 3*i - 1. Suppose 0 = -85*y + 80*y + 4*w + 198, -2*w = -3*y + 112. What is the remainder when f(-6) is divided by y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = m - 14. Let k be b(15). Let p = -1.9 - -0.8. Let s = 4.1 + p. Sort -0.1, s, k in increasing order.\nAnswer: -0.1, k, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*u + 20*t - 19*t - 13, -5*t + 51 = 3*u. Solve 3*p = -a + 4, -a - 10 + 14 = -u*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*k - 17 + 33. Suppose -m + 2*p = -3117, m - k*m = -5*p - 9346. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y + 5*m - 59 = 0, 2*y - 105 = -2*y + 3*m. Let j = y - -125. Calculate the highest common divisor of 19 and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 246142687152.738 - 246153474792.38800105. Let y = j - -10787639. Let g = 0.65 + y. Round g to seven decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {m: 15, j: 3}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3089 - 473 = 4*b. Let a = b + -444. What are the prime factors of a?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a**(-1))**(-20))**(-26) assuming a is positive.\nAnswer: a**(-520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = k**2 + k - 4. Suppose -40 = 5*y - 0*y. Let s be (-1 - 0)*(-5 - y). Calculate x(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:58 PM and 4:10 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from feyfwwyyyfyy. Give prob of picking 1 y and 1 f.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 52 = 4*g - 4*x, 0 = -g - 0*g + 3*x + 15. Let n = 13 - g. Let t = 19 - n. Solve 4*m - t = k, 3*m + 11 = -3*k + 32 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 6487356535 to the nearest integer?\nAnswer: 1865","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 802503 and 148941?\nAnswer: 2223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round 7.6398947 to 1 dp.\nAnswer: 7.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j - 1915*r = -1917*r + 7, -3 = j - 2*r. Solve 5*f = 5*t, 5*t + f = j + 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify p**17\/p*p\/((p*p**(-3\/13))\/p) assuming p is positive.\nAnswer: p**(224\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-1)\/(2\/4))\/(13\/(-130)*10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -526 (base 8) in base 7?\nAnswer: -666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = -43 - -14. Let h = -410 - -379.7. Let g = a - h. What is g rounded to 0 dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-6)\/(-24)*(1280\/(-50))\/(-16). Which is the nearest to j? (a) -0.3 (b) -5 (c) -73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 482*z**2 + 5 + 11 - 20 + 3 to k + d*z**2 + u*z and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -22\/35055 and 127\/46740?\nAnswer: 140220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:26 AM and 9:26 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = -3*q + 6*q**3 - 3 - 11*q**3 + 10*q**3. Let v(r) be the second derivative of 3*r**5\/10 - 2*r**3\/3 - 2*r**2 - 18*r. Determine -4*d(h) + 3*v(h).\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = 18. Let s(z) = z + 19. Let k(l) = 4*q(l) - 3*s(l). Let o be k(5). Solve 3*j + 3 = 3*p, 0 = -o*p - 5*p - j - 13 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1020, 2190, 3360, 4530, 5700, 6870?\nAnswer: 8040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express -g + 3*g**2 - 7*g**2 - 1 - g**2 as f*g + h + d*g**2 and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 1444.847 centuries in decades?\nAnswer: 14448.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0 (base 5) in base 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 202 minutes before 2:27 PM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 17513901 is divided by 2507.\nAnswer: 2506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) be the second derivative of z**5\/20 - 53*z**3\/3 + 17*z**2 - 5*z + 1. Differentiate u(j) with respect to j.\nAnswer: 3*j**2 - 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -222.4 to the nearest 10.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 33564 or 33563?\nAnswer: 33563","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate 13\/((-910)\/4)*5.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:23 PM and 3:43 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Add 0 and 5.942.\nAnswer: 5.942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -414 (base 11) in base 6?\nAnswer: -2151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 69924 - 289*a - 66595 + 1537*a wrt a.\nAnswer: 1248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*i - 6*i + 27. Let s = 5 + i. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6784425465 to the power of 1\/2, to the nearest integer?\nAnswer: 82368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11 = -0*n - n + 2*q, 0 = n - 4*q - 21. Suppose 69 = -2*p - n. Is p\/(-1)*(-5 - -6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 5 - 1)*(-4 + 4 - 3*d) - 3*d + 3*d - 6*d + 0*d - d + 2*d + 3*d - 3*d - 2*d + (4 - 4 + d)*(1 + 1 - 4) + 1 + d - 1 + 2*d + 3*d - 4*d.\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 662 minutes before 11:00 AM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = 16034*h**3 - 15115*h**2 + 39. Let q(a) = 5345*a**3 - 5039*a**2 + 12. Let v(p) = -4*f(p) + 13*q(p). What is the third derivative of v(z) wrt z?\nAnswer: 32094","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -v**4\/6 - 72*v**3 + 6609*v**2\/2 - 19177*v\/3 + 3160 = 0.\nAnswer: -474, 1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 61 divided by -223?\nAnswer: -61\/223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1 + 9. Let t = z - 5. Let h = t - 3.1. What is the second smallest value in h, -5, 0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-2 - 0)*(-2)\/(-4). Let j = 97 + -676\/7. Which is bigger: l or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 522112 by 64.\nAnswer: 8158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 39838570.32724 and -0.5?\nAnswer: 39838570.82724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (99\/660)\/((-3)\/(-8)*3)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express -144*n**4 - 3*n + 71*n**4 + 74*n**4 - 2115*n**2 - 58*n**3 + 2118*n**2 as t*n**2 + f*n**4 + s + h*n + p*n**3 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put 0.4, 285, -2 in decreasing order.\nAnswer: 285, 0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -1642, 0, 2, -5 in descending order.\nAnswer: 2, 0, -1, -5, -1642","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j = -5*j + 7*j. Solve d = -j - 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 685 - 2020. What is the tens digit of 1\/(k\/(-3275) + (-2)\/5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -142888*o**3 - 11426 + 11426.\nAnswer: -142888*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) be the third derivative of -a**6\/15 + a**5\/30 - a**3\/6 - 51*a**2. Calculate w(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 36494.\nAnswer: 2, 71, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -43*p**3 - 2 - 7053155*p**2 + 7053155*p**2.\nAnswer: -43*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Divide -2340 by 180.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b be -2*1\/11 - (-92)\/22. Solve 0*m + b*m + 4 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 17042490, 17042487, 17042474, 17042445, 17042394, 17042315, 17042202?\n\"Answer: -b**3 + b**2 + b + 17042489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 35450.47 milligrams in kilograms?\nAnswer: 0.03545047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = -430.27 - -434. Let j = c + 0.27. Put j, 0.04, -3 in decreasing order.\nAnswer: j, 0.04, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 8085 + -3?\nAnswer: 8082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9333648.\nAnswer: 2, 3, 64817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = -50*g**2 + g - 18. Let b(c) = c**2 - c + 1. Let t(o) = -5*b(o) - h(o). What is the tens digit of t(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -5\/4 (b) -3 (c) -45 (d) 5 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -981*r - 2 + 2 - 10*r**2 + 1002*r.\nAnswer: -10*r**2 + 21*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w = 63 + -63.1. Let f = -6.9 + 7. What is the nearest to w in f, 0.5, -1\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = -a + 15. Let v be c(-15). Let f = v + -20. Suppose 0 = -5*y - m + 48, 2*y - 5*m + f = 4*y. Calculate the remainder when 38 is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 4 (b) -0.2 (c) -1\/44 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*w - 16 = -b, -202 = 10*w + 4*b - 104 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is next in 4101013, 8202038, 12303063, 16404088?\nAnswer: 20505113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is thirteen quarters of a milligram in micrograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -1.9658773 rounded to one decimal place?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + sqrt(66)\/(sqrt(6) + sqrt(96)\/sqrt(4)))**2*4 + -3.\nAnswer: 32*sqrt(11)\/3 + 593\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 52 and 57967?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 319637?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 4 + 1 + -11 + 10\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve p - s + 3*s = -5, -3*p = s + 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l = -6.4 + 6. Let d = -1948 + 1977. What is the closest to -0.1 in -5, l, d?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (10 - (9 + -6)) + -2 + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = -t - 0*t. Let d(y) = -13*y**2 + 10*y + 10. Let x(b) = -110*b**2 + 81*b + 80. Let r(a) = -17*d(a) + 2*x(a). Determine r(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b = -3*f - 6, -2*b = -4*f - f - 4. Suppose b*g - 190 = -5*u, 4*g + 209 - 49 = 5*u. Find the common denominator of (-3)\/(u\/(-62)) - 3 and -119\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -27914 + 27942. What is the fifth smallest value in 0.4, r, 0, -0.5, -1.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -177755*t**5 + 3*t**2 - 126*t - 34?\nAnswer: -10665300*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 295169634 and 5611590?\nAnswer: 1475848170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert -330201322 (base 4) to base 14.\nAnswer: -664d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -3 (b) 6204586 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dibb when four letters picked without replacement from dddbdrddddrddirqlddq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) be the second derivative of x**4\/6 + 22*x. Let h(r) = -20*r**2 + 1. Calculate g(h(l)).\nAnswer: 800*l**4 - 80*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -0.7307 rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*y + 358 = 94. Calculate the remainder when 636 is divided by y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-1 - 3\/(-9))*-3. Find the second derivative of -9*i + 14*i + 12*i**5 - 4*i**5 + q*i**5 wrt i.\nAnswer: 200*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2083 - 3*n**2 + 2083 + 3*n - 7*n**2 + 3*n**3 - 9*n**3 to the form i*n + a*n**3 + u + q*n**2 and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 141508?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*x + 4*d - 236, 0*x + 3*d - 49 = -x. Calculate the highest common divisor of 160 and x.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v - 378400015 = 5*f, -3*f + 17 - 26 = 0. Round v to the nearest one million.\nAnswer: -95000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-15)\/(-35))\/(-3)*(-13 - -15). Sort -3, -37, 0, p.\nAnswer: -37, -3, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 254727*1746\nAnswer: 444753342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x = 227 - 225. Which is the closest to 2\/7? (a) x (b) 2\/15 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 2182.6 - 2182.6. Sort 1, y, -5, -3, 1\/29 in increasing order.\nAnswer: -5, -3, y, 1\/29, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1221076760?\nAnswer: 2, 5, 41, 744559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-399)\/(894159\/166)*(-594)\/4.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express 148*s + 3*s**2 + 55*s + 516*s in the form m*s + r + b*s**2 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 0.5 less than -10.64?\nAnswer: -11.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s be (4\/(-9))\/2*(-9)\/5. What is the biggest value in -4\/7, 9, s?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -4 - -12. Suppose 8 = i - 2*d - p, -2*i + 47 = -d. Let q = 39 - i. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (8816\/(-2088))\/((-12)\/(-135)*10)?\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 92\/138465 and 89\/13338795?\nAnswer: 40016385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 149 minutes before 6:02 AM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Work out 5 * 16082987.\nAnswer: 80414935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:04 AM and 10:14 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is (506\/8 - 0)*4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.08, 1\/4, 3\/2, -840, -156 in increasing order.\nAnswer: -840, -156, -0.08, 1\/4, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 77242 and 288625266?\nAnswer: 7022","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1840)\/2240 - (-4)\/7.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = 2*w**3 - 5*w**2 - 7. Let x(f) = -f**3 - f**2 - 1. Let t(h) = b(h) - 5*x(h). What is the derivative of t(p) wrt p?\nAnswer: 21*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-45)\/(-12))\/((-327)\/2616). Let u(l) = 2*l**2 + 56*l - 123. Determine u(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*((sqrt(612)*2 - sqrt(612)) + 1 + -4 + sqrt(612) + -2).\nAnswer: -5 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Divide -1594 by 3487.\nAnswer: -1594\/3487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1203 - -1353. What is the remainder when s is divided by 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14*(-4)\/8 - (-169971 - 3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in -1, 2\/17, -0.07, -4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = -22*o**2 - 5. Let x(d) = 3*d**2 - d**2 + d**2 - 3*d**2 - d**2. What is m(x(k))?\nAnswer: -22*k**4 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put together 124 and -7273169.661.\nAnswer: -7273045.661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -33 times -0.073?\nAnswer: 2.409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 88*x - 166*x + 1039295 = -61*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 59\/4068 and -36\/791.\nAnswer: 28476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 434288 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 57371*v**3 + 59762*v wrt v.\nAnswer: 344226*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = 16*s - 25. Let j be w(2). Let o(z) be the second derivative of 0 + 0*z**4 + 0*z**2 - j*z + 1\/30*z**5 - 1\/9*z**3. Factor o(a).\nAnswer: 2*a*(a - 1)*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = 4*x + 41. Calculate l(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -40378 plus -27976964.8?\nAnswer: -28017342.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a be 6\/9*30\/(-4). Let h(y) = y**3 + 5*y**2 + 7. Let o be h(a). Solve 2*n - o = n + 2*j, -n - 2 = j for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = q**3 - 4*q**2 + 2*q - 3. Let u be v(4). Suppose 4*h + 2*o - 10 = 0, 2*h + o = u*h - 5. Is (-5)\/(h\/3 - 1) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 809 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1*-4*sqrt(63))\/(4*sqrt(576))*1)**2.\nAnswer: 7\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -1586*g**4 - 104 wrt g.\nAnswer: -6344*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1148706529\/386091 + 2\/128697. Let z = 2970 + c. Find the common denominator of 56\/5 and z.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 7421*a - 567172 - 72721 + 22346 = 154237 for a.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4531?\nAnswer: 23, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = l**3 - 11*l**2 + l - 12. Let p be z(11). Let t(c) = -8*c - 1. What is t(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2847 and 11036818?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-2 + (-58)\/(-24))\/((-7)\/(-14)). Let 2\/3*o**3 + 5\/3*o**2 - j*o**5 - 4\/3*o**4 + 1\/6*o - 1\/3 = 0. What is o?\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) be the third derivative of 2*r**2 + 1\/12*r**4 + 14 + 1\/60*r**5 - 1\/6*r**3 + 0*r. Suppose 2*p + 6 = -0*p. Determine m(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1514 = 248*v - 274 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 3 (b) 21 (c) 12 (d) -2\/17 (e) -4 (f) -24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x = -54.257 + 54. Let l = x - -0.157. Do l and 0.148 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7034 is divided by 3349?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = y + 31. Calculate the least common multiple of c(-19) and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.28517944 to two decimal places.\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose s + 2*y = 12, -3*s + 24 = -0*s + 2*y. Find the third derivative of -4*d**2 - 9*d**2 + 8*d**6 + 8*d**2 - 3*d**s wrt d.\nAnswer: 600*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4824806 is divided by 18003.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = -5*w + 35. Let c(b) = 16*b - 104. Let s(n) = 3*c(n) + 10*d(n). Let o be s(17). Solve -l = -4*v - 6*l - 33, 2*l + o = 3*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(-2)\/(t\/(t\/t**6*t)))**(-47)\/((t**(-1)*t)\/((t\/(t\/(t*t**(-3\/8)\/t)))\/t))**(-45) assuming t is positive.\nAnswer: t**(3127\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t = -295 + 298. Suppose z + 11 = -3*u, 11 = 4*u + 31. Solve q - t*b - 13 = 0, -3 = -q + z*b + 15 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = 359*m + 241. What is the tens digit of a(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from pppsssssspspsssspsp. What is prob of sequence ssps?\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o = -5*a + 16, 11*a - 6*a - 24 = -4*o. Solve -2*l = 5*r + 27, 3*r - a*l = -6 - 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = -4*f**2 + 2*f - 7. Let m be p(4). Let v be (-12)\/(-16) - m\/(-132). Which is smaller: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 10\/19, -0.4, 0.3 in increasing order.\nAnswer: -0.4, 0.3, 10\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 29 + 3 = 16*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o be 226\/(-565) - (-1)\/(10\/144). Solve -423 = o*s - 465 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m + 30 = -2*m. Let r be ((-124)\/m)\/((-24)\/(-36)). Let t = 47 + r. Calculate the greatest common factor of t and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = -2*r**2 + 5*r - 3. Let b be m(6). Let w = b - -49. Solve -j = w - 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 6657 and 27888?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0 - -2. Suppose n = -3*l - 1. List the prime factors of (124\/(-20) - l)*-5.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 74942 is divided by 18465?\nAnswer: 1082","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 28*x + 11*x**3 - 15*x**3 - 28*x + 10*x**3.\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5*((-39)\/(-104) + (-13)\/24).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from iryjaiyppaaj. Give prob of picking 1 a and 1 p.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2742 is divided by 53.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 5 - -271c2?\nAnswer: 271c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i = 23 + -19. Let z = -81.6 - -82. Which is the biggest value? (a) 2\/7 (b) z (c) 2\/15 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 84\/126*(-6)\/4. Let s(a) = -a**2 + 3*a + 6. Let u be s(5). Is 3 - (u - (q + 85)) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a - 2*v + 600 = 2454, 0 = 2*a - 3*v - 1231. Is 78 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6 + 3 + 0 + 2*o)*(26*o + 134*o + 24 + 33*o).\nAnswer: 386*o**2 - 531*o - 72","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:41 PM and 4:26 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 3 + 4032?\nAnswer: 4035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -6.83 in 2\/5, 2, -0.418, 1, -2\/13?\nAnswer: -0.418","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 16581422?\nAnswer: 2, 11, 13, 57977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f + 45 = 5*c, -25*c - 5*f - 75 = -30*c. Suppose -c*x = 5*x - 90. Solve x*y = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.01480558741 rounded to 4 dps?\nAnswer: 0.0148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 12\/1*(-121)\/(-44)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = -8*z**3 + 39*z**2 - 2*z - 22. Let r be l(-27). Suppose -17*c = -r - 280774. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g\/((g**1\/g)\/g)*g)**(-3\/13))**(2\/51)\/(g**(-2)*g\/(g*g**6\/g)*g*(g\/g**(-2\/7))**(-26)) assuming g is positive.\nAnswer: g**(60954\/1547)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*n + 3*p + 12 = 0, -66 + 130 = 12*n - 2*p for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n = 110 + -108. Let h be (-4)\/8 + 19\/2. Solve -n*s = f - 3 - 3, 3*f = 3*s - h for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = -13*r**3 + 7*r**2 - 4*r - 15. Let v(t) = 2*t**3 + 2*t**2 - 2*t + 1. Let q(x) = -i(x) - 6*v(x). Calculate q(18).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 3878, 8194, 15402, 25514, 38542, 54498, 73394?\nAnswer: 95242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -12153466 (base 7) to base 8.\nAnswer: -4116636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w be -5 + 3 + 36\/21. Let i = -6.7 - -7. Which is the third biggest value? (a) w (b) i (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((3 - 1)*1)\/1. Suppose -17*i + 21*i - 36 = 0. Suppose -i*n = -7*n - v. What is the lowest common multiple of n and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -0.18, 6, 1\/8, 1923?\nAnswer: 1923","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.1 - 0.1. Let j(o) = -12*o + 100. Let f be j(9). Let m be (-1)\/(-2)*f + (-2 - -6). Which is the nearest to m? (a) 0.4 (b) w (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 416 - 32 = 24*z. Let i be 12\/2 - (3 - 1). What is the highest common factor of i and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-71 + 540 + 367 + a)*(8*a**2 - 35*a**2 - 6*a**2).\nAnswer: -33*a**3 - 27588*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t + 3*t - 10 = 0. Calculate the remainder when 3 is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 2, w: 2}. Give prob of sequence aa.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 24 + 6d3?\nAnswer: 717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in -4, 0.1669, -2, -2\/5, -8?\nAnswer: 0.1669","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 739 divide 47519130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express 2*c**4 + 2*c**2 - 32*c**3 + 32*c**3 + 75*c - 11*c in the form o + b*c**4 + d*c**3 + a*c + x*c**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 378 and 245?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (6\/10)\/(((-20615)\/(-10450))\/(-217)).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 145 + -195 + -1 + 9 - 51.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 12598843*h*w**2 - h*w - 3*h + w**2 - 2*w - 9158041 wrt h?\nAnswer: 12598843*w**2 - w - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p + 368 = t, 2*p - 3*t - 184 = -7*t. Suppose 0 = -5*s + 5 + 15. Suppose s*c = -0*c + p. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 1 + -3012?\nAnswer: -3011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in -197447, -197639, -197741, -197747, -197651, -197447, -197129, -196691?\nAnswer: -196127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = -u**3 + 18*u**2 + 22*u - 3. Is a(19) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -g - 24 = -8*p + 3*g, -4 = -2*p + 2*g for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*u + u - 7*u)*(3 - 4 + 2)*(-4228 - 14313 + 1204 + 131 + 240).\nAnswer: 50898*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 50493303?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(8\/13)*y**(-4\/5)\/y)**(-9\/11) assuming y is positive.\nAnswer: y**(63\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -15, 2, 1\/512, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*r + 17 = 4*m - 8*m, 0 = 4*m - 5*r + 7 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 239376 is divided by 1575.\nAnswer: 1551","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -9.393 rounded to 1 dp?\nAnswer: -9.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {m: 3, x: 2, t: 12}. What is prob of picking 2 m and 2 x?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 40556353 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -36405800 - 5?\nAnswer: -36405805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u + 165*j - 170*j - 20 = 0, 3*u - 5*j = 28. Let t = 0.5 + 0.7. Put -2, u, 2\/9, t in increasing order.\nAnswer: u, -2, 2\/9, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 289315459 divided by 4\nAnswer: 289315459\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j be 65\/7 + 4\/(-14). Is 1893\/j + (-2)\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -3, 103, 0, 5, 1\/7, -41?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d be (1\/(2\/(-43)))\/((-2)\/4). Suppose -11*q + 1 + d = 0. Solve 2*a + 2*u + u - 1 = 0, 2*u - 14 = -q*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 303*(-10)\/330 + 9.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = 3*m**2 - 2*m - 5. Let q(l) = -6*l**2 + 4*l + 11. Let u(h) = -13*c(h) - 6*q(h). Suppose 4*v = 4*g + 16, 3*v = 3*g - v + 17. Give u(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 2\/(-12) + 95\/30. Solve -m*q = q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n + 158 = 4*v + 2*n, 123 = 3*v - 3*n. Suppose -v*b - 27*b - 299 + 11*b + 9*b**3 + 21*b**2 + 323 = 0. Calculate b.\nAnswer: -4, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {u: 3, o: 13, f: 1}. What is prob of picking 1 u and 3 o?\nAnswer: 429\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 189, 650, 1419, 2496?\n\"Answer: 154*q**2 - q + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 62938.97 centimeters to micrometers.\nAnswer: 629389700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 2 + -16620?\nAnswer: -16616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 4*v**3 + 5619*v**2 - 284764 with respect to v.\nAnswer: 12*v**2 + 11238*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.5 + 2.5. Which is the nearest to -1? (a) -3\/5 (b) x (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-2)\/(-4) + 0)*-16. Let i be k\/128*(-414472)\/(-6). Let q = -4325 - i. Calculate the common denominator of q and -79\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-14)\/6 + 1)*-3. Let p = j + 0. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -9498861 - 5?\nAnswer: -9498866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = i**3 + 65*i**2 + 65*i + 65. Let w be u(-64). Put 5, w, 0, -29 in decreasing order.\nAnswer: 5, w, 0, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} {"text":"Question: Let r(t) be the third derivative of t**5\/390 + 544*t**4\/39 + 1183744*t**3\/39 - 2*t**2 + 109*t + 1. Find a, given that r(a) = 0.\nAnswer: -1088","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 37\/333 + 34\/18.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -4*t + 19. Let i(k) = 3*k. Determine 2*i(l) + p(l).\nAnswer: 2*l + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p be -3 + (-111)\/(-3) - -3. Let t = 64 - p. Is (-1 - -35)*t\/18 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1025 - -1030. Let y = 0.11 + 3.89. Sort n, 2\/9, -3, y in descending order.\nAnswer: n, y, 2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:00 AM and 1:44 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = b**2 + 12*b + 11. Let x be k(-11). Let s(g) = -g + 2. Let o be s(0). Solve x = -h - 0*h + o for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 53 - -21233?\nAnswer: 21316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3065.\nAnswer: 5, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00259543537 to 7 dps.\nAnswer: 0.0025954","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h - h = -3*n + 60, 4*h = 3*n - 60. Suppose -2923 - 157 = -28*m. Suppose -m = -n*k + 15*k. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = -1. Let r(p) = -3*p + 3. Suppose -18 = 3*z - 15. Let w(h) = -h**2 - 2. Let l be w(z). Calculate l*y(n) - r(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = 3*f + 2. Calculate u(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 700 is divided by 99.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + (3 - (2 + 0))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 6\/5 of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 2.5735392s to hours.\nAnswer: 0.000714872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 715 = 677*p - 2138 - 532 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find p, given that 4*p**2 + 576*p + 20736 = 0.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 0.554 times 18\nAnswer: 9.972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1502570991?\nAnswer: 3, 500856997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = 5*p - 10. Let d be b(-7). Let x be 50\/18 - 10\/d. Suppose 5*n - 1 - 3 + 2*n**2 - x*n = 0. What is n?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6727000 rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert -4 (base 12) to base 15.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express 3 + h + 2379774*h**3 - h - 2381499*h**3 + h**2 as a*h**2 + u*h + s + z*h**3 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00003132 to 6 dps.\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = 2*u**2 - 7*u + 5. Let m(b) = 3*b**2 - 15*b + 11. Let g(l) = -5*c(l) + 3*m(l). List the prime factors of g(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0 (base 16) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v - 31 = -6*v - 4*p, 4*p = 16. Suppose 0 = -f - v + 4. What is the second smallest value in -9, f, 4\/9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1220112200222 (base 3) in base 10?\nAnswer: 1014551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = -4*i**2. Suppose -2*l = l - 9. Let u be 5 - -4*l\/(-6). Let o(r) = -u*r - r + 2*r. What is d(o(f))?\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4133388?\nAnswer: 2, 3, 7, 49207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 38894 is divided by 167?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is -21 bigger than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 27305?\nAnswer: 5, 43, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((2*sqrt(75) - sqrt(75))\/sqrt(3)*-2*2)\/((sqrt(320) - sqrt(320)*-1 - sqrt(320)) + sqrt(320) + ((sqrt(210)\/sqrt(6))\/sqrt(7) - sqrt(5))))**2 + 2.\nAnswer: 37\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r = 794\/303 + -2227139\/848400. Calculate the common denominator of 85\/224 and r.\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 675*v - 664*v = 77 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 1430269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1 or 72\/9295?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 617 minutes before 8:30 PM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-2)\/12 + 20\/(-36)*-21 and -2 - -2 - 73\/(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 17573 - 17573.2. Which is the second smallest value? (a) q (b) 0 (c) -1871\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 34970327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = 18*n**2. Let f(y) be the third derivative of y**5\/12 + 35*y**2. What is f(d(p))?\nAnswer: 1620*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 0.07 less than -111669.9901?\nAnswer: -111670.0601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k = -14.1 + -64.6. Let b = 83 + k. Let w = b + 0.7. What is the nearest to 0 in 0.3, -1\/2, w?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -96.21*-15\nAnswer: 1443.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l = -335.92 - -340. Round l to one decimal place.\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 197 minutes before 8:56 PM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 24416 - -7?\nAnswer: 24423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 9.225794g to milligrams.\nAnswer: 9225.794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = z. Let w(d) = -3*d**2. Let o be (-2)\/(-3) + (-133)\/(-21). Let j(c) = 2*c**2. Let q(u) = o*j(u) + 6*w(u). Give q(i(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 5, -5370\/11, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 468 is divided by 18.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort -62, 2, -0.1, -1\/2 in descending order.\nAnswer: 2, -0.1, -1\/2, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = -3. Let p(b) = b + 6. Let q(i) = -5*m(i) - 3*p(i). List the prime factors of q(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -4\/209007 and 43\/27?\nAnswer: 209007","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -h - 47*j + 43*j = 11, 156 - 145 = -3*h - j for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 72 = 4*i - 4*w, -4*w + 32 = -5*i + 123. List the prime factors of i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -38, -86, -146, -224, -326, -458, -626?\n\"Answer: -j**3 - 41*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*n - p - 78, 0 = -8*n + 4*n + 3*p + 104. Suppose -n - 38 = -4*s. Calculate the remainder when 95 is divided by s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((n*n**(3\/2)\/n*n)\/n)\/n)\/n)**(2\/7)*(n*n*n**(1\/3))\/(n\/n**(16\/3)) assuming n is positive.\nAnswer: n**(137\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -241aa (base 11) to base 3\nAnswer: -1202210122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*c = -844 - 52. What is the lowest common multiple of c and (-8556)\/(-217) - -1*(-4)\/(-7)?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 124*p + 10272 + 21984 = -20*p. Which is greater: p or -222?\nAnswer: -222","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -104 - -120. Solve -3*h + 7*h = -m for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 1296 divided by -81\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 0.1, 116\/11, 3\/5, 2\/7, -0.39, -10?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 7517332\/(-140743) + (-24)\/(-17)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -2 - 2. Let m(n) = -n. Let x be m(-4). Let v be -2*x\/28*-1. Which is the third smallest value? (a) v (b) -7 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6 + 2 + 2)*(1 + 0 + 0)*(66*l**2 + 180*l**5 - 66*l**2).\nAnswer: -360*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 9460 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = 5*a + 2. Let w(d) = -32*d - 11 + 11*d + 2. Let z(y) = -9*t(y) - 2*w(y). Let s(m) = m. Calculate z(s(o)).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -3 and 1923665.9?\nAnswer: 1923668.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u be -1 + (-1)\/((-3)\/(-6)). What is the remainder when (3\/(u\/(-46)))\/2 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1.3 - -1.8. Let h = -135 + 207. Let f = h + -55. Which is the third smallest value? (a) 1\/7 (b) k (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = -4*z - 6. Let q be t(-2). Suppose 0 = 2*v - q*d + 25 - 207, 0 = v + d - 81. Suppose -3*b + v = -70. Is b a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = 5*o**2 - 2*o + 5. Let q be u(-3). What is the highest common divisor of 224 and q?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = l + 1. Suppose 56*b = 23*b + 132. Let q(n) = -36*n + 24*n + 3 - b + 10*n. Give 4*q(r) + 5*w(r).\nAnswer: -3*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1780520 and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/5 in -0.1, 4, 1943?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5100482?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -27\/478 and 27\/34.\nAnswer: 8126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -13\/34291295 and -69\/4996?\nAnswer: 137165180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -46, -74, -102, -130, -158?\nAnswer: -186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -4 * -0.02\nAnswer: 0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -1\/5, 107\/4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*y + 3*y + 0*y)*(7*y - 1098 - 126*y + 1101)*(-2 - 3 + 0).\nAnswer: 595*y**2 - 15*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x = 185 - 102. Calculate the remainder when x is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -7 + 0 + ((-66)\/11 - -3) - -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 8 < -5.256?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = -j**2 - 9*j - 1. Let l(f) = -2*f**2 - 18*f - 1. Let q(d) = 3*l(d) - 5*y(d). Let c be 3750\/(-2250)*54\/10. What is q(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find r, given that -r**2\/3 + 74*r\/3 - 435 = 0.\nAnswer: 29, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i - 8 = -10. Let r(a) = -a**2 + 6*a + 4. Let v be r(5). Let n be 8\/2 + (23 - -3). Solve -i*y + n = 4*w, v*y - 2*w = 4*y + 15 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -136 - -135.612. Let v = p - -0.5. What is v rounded to two dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 7 and 1267?\nAnswer: 1267","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h = 2143 - 979. What are the prime factors of h?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -23 (b) -0.1 (c) -2\/11 (d) -6.59 (e) 0.1 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = -b**3 + 27*b**2 + 33*b - 131. Determine r(28).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 4.580643 nanometers?\nAnswer: 0.0000004580643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y = -15 - -17. Calculate the highest common factor of 14 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 28*r**5 - 876*r**4 + 3216*r**3 + 16624*r**2 - 4992*r = 0 for r.\nAnswer: -3, 0, 2\/7, 8, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(11) - sqrt(11)*1*-2) + -1 + 1 + 3)**2 - ((sqrt(99) - (((sqrt(99) + 0)*2)**2 - sqrt(99))) + -5)*-2.\nAnswer: -694 + 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*v + 8*v + 25 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 36448365 is divided by 249?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: (45\/6)\/(2*(28\/32 - 1))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 879 + 2?\nAnswer: 87b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 3\/4 (b) -6 (c) 5 (d) -4 (e) 2.3 (f) 7 (g) 0.351\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -37, -55, -55, -31, 23, 113, 245, 425?\nAnswer: 659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1240065*j - 3*j**2 - 1240065*j + 352*j**3 to the form v*j**3 + y + b*j + h*j**2 and give v.\nAnswer: 352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*m + 0 + 1 = -4*d, -2*m - 14 = d for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1291 = 11*b - 1522. Solve -b*n + 24*n - 12 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = 8*r. Let o(k) = -18119 + 18119 + 14*k**2. Determine x(o(n)).\nAnswer: 112*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is (-145)\/435 - 240\/(-828)?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 43692049\/4 or 10923013?\nAnswer: 10923013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {r: 4, d: 7}. What is prob of picking 2 d and 2 r?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) be the second derivative of 0 - 1\/12*z**4 - 5\/6*z**3 - 10*z - 3\/2*z**2. Calculate l(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -20.2*45.887\nAnswer: -926.9174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -255 = -6*b + b. Suppose 2*f + 3*c - 217 = b, -556 = -4*f - c. Suppose -5*s - 325 = f. What is s rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 8.926723384 to four decimal places.\nAnswer: 8.9267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = 2*x - 47. Let o be d(24). Solve 8 = -3*b - o for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -42, -49, -54, -57, -58, -57?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 91 + -106 - (-9 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j - 9 = -j. Let u be (3\/j)\/(1\/(-12)). List the prime factors of 9 - (-1 - (-12)\/u).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -320 + 323. Let t = -12 + x. What is the nearest to -1 in -2\/19, t, -1, -1\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 12 or -4298?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2 + (-4 - -3) - -5)\/(-14*11\/(-847))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 13 - 12. Let v = 37 + -23. Let d = v - j. List the prime factors of d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 5 + -2. Is -195*((-10)\/g + 3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -62 + 67. Suppose -590 = -f*a - 0*a. Suppose 4*o + 437 = 3*z + a, 5*z - 3*o - 517 = 0. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x - 5*p = -6*x - 152, -2*x = 4*p + 102. Let c be x\/1935*(-1 - 4). What is the smallest value in -2\/11, c, 1.8?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 21 (base 11) to base 2\nAnswer: 10111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p - 82 = -t + 4*t, 5*p - 112 = -t. What is the remainder when (3 - p\/10)*70 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 26908 and 5456.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*r - 5*r + 4, -3*r + 47 = w. Suppose -4*t + t + 2*z = -5, -3*t - 4*z + w = 0. Solve 10 = -n - 4*n - i, t*n + 10 = 4*i for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = 24*p**2. Let s(a) be the first derivative of -3*a**2 + 5*a - 14. Let h(y) = -y + 1. Let q(r) = -10*h(r) + 2*s(r). What is f(q(v))?\nAnswer: 96*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v = 10742 - 8580. What is the remainder when v is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = n**3 - 3*n**2 + 2*n - 5. Let l be u(4). Suppose 5*c = -9 + l. Suppose c*o = 4*b + 26, 2*o - 11 = 2*b - o. Let k(s) = 2*s - 8. Determine k(b).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2188782363*n**2\/5 + 486198*n\/5 - 27\/5.\nAnswer: -3*(27011*n - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.4 from 0.026.\nAnswer: 0.426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hkhk when four letters picked without replacement from khhkhh?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in s**2 - 4*s**2 - 4 - 14 + 10.\nAnswer: -3*s**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*u - 4*u - 20 = 0. Suppose 4*h - 5*o + 31 = 0, -u*h + h = -4*o + 28. Which is the smallest value? (a) h (b) 0 (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 141 = 3*g - h, 0 = g - 3*g + 3*h + 101. What are the prime factors of g?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 654 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -315*n**6 - 2*n**2 - 54*n.\nAnswer: -37800*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 14*(-10)\/35*15\/6.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = -5.5 + 5. Let v = 14 + -17.6. Let j = 3.4 + v. What is the nearest to 6 in t, 2, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -5 + 4.95. Let t = -0.15 - x. Which is the closest to t? (a) -0.1 (b) -0.2 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -19 and -5435.8.\nAnswer: 103280.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 1680 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*f + 5*u - 34, 20 = 3*f + 8*u - 3*u - 11 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*b**2 + 350474*b - 66168144.\nAnswer: -2*(b - 175048)*(b - 189)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -24*l + 22*l + 3*l**2 + 17 - 18 to the form a*l + d + p*l**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u + 4*p = -p + 21, -3*p + 15 = 0. Let i(h) = -11*h - 1. Let w be i(-1). Suppose 3*f - 6 + 0 = 0. Solve -5*r + u = -j - 10, -j - f*r + w = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = 2*b**3 - 4*b + 3. Let a(j) = -778 - 8*j**2 + 778. Let m be a(1). Let k be -4*10\/m - (0 + -2). Let o(x) = -x**3 + 2*x - 1. What is k*o(p) + 3*r(p)?\nAnswer: -p**3 + 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 53 minutes before 8:18 AM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 5 (b) -12 (c) 3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b be 620\/1038 + 26\/(-39). Is 1 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) be the third derivative of b**5\/60 - b**4\/24 + b**3\/6 + 158*b**2. Determine v(6).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 84665 + -84654. Let a be 1 - 2 - 4\/4. Let b be (-1 + 0 + 1)\/a. Put v, -3, b in decreasing order.\nAnswer: v, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3089354 divided by 20?\nAnswer: 1544677\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n be -6*((-6)\/4 + 1). Suppose 0 = 2*s + n*r - 44 - 20, 4*s + r = 138. What is the highest common factor of s and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 35066 divided by 107.\nAnswer: 35066\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -4*d**6 - 2*d**5 - 775*d**4 - 133*d**2 + 8?\nAnswer: -480*d**3 - 120*d**2 - 18600*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a\/(a*a**(-1\/3)))**(-43\/2)*(a\/(a\/((a\/a**2*a)\/a)))**49 assuming a is positive.\nAnswer: a**(-337\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i be (39 + -37)*(-1 + 0). Which is smaller: -235 or i?\nAnswer: -235","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.525 * 32.\nAnswer: -16.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 3 - -8009977?\nAnswer: 8009980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose j = -2*j + 6. Suppose j*t - 2*x + 16 - 64 = 0, t = -2*x + 18. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 18852 = -1352*m + 3980 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand -u + 0*u + 3*u + (-3 + 4 + 0)*(2*u + 0*u + u) + (-2*u - 3*u + 0*u)*(0 + 0 - 1).\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is q in 20\/3*q**3 + 12 - 266\/9*q + 152\/9*q**2 - 2\/9*q**5 - 52\/9*q**4 = 0?\nAnswer: -27, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -61\/13380 and 19\/24?\nAnswer: 26760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify y**(-13\/4)\/y*y*((y**26*y)\/y)\/y assuming y is positive.\nAnswer: y**(87\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate -75582 divided by -463.\nAnswer: 75582\/463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is next in -649, -1382, -2115?\nAnswer: -2848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = -y**2 + 74*y - 269. Calculate n(70).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 66, 28, -6, -36, -62, -84, -102?\n\"Answer: 2*t**2 - 44*t + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 20260, 26751, 33242?\n\"Answer: 6491*w + 13769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -32*k = k + 264 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 19*w + 31*w - 11*w.\nAnswer: 39*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-4 + (-80)\/70)\/((-524)\/(-42)). Which is bigger: c or -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*f = -5*f + 85. Let c = f - 10. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 75537255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort 16, 4, -15 in descending order.\nAnswer: 16, 4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {w: 13, j: 5}.\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 200 (base 14) in base 2?\nAnswer: 110001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4811*j + 2072*j - 2708*j.\nAnswer: -5447*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 0.14978339 less than -276?\nAnswer: -276.14978339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -v - 5*j + 173 = 147, 3*v + 4*j - 34 = 0 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = -k. Let g(w) = 1384035*w**2. Calculate g(f(l)).\nAnswer: 1384035*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 2057738257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -48 (base 16) to base 9\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = -l**3 + 7*l**2 - 4*l - 10. Let x be p(6). Suppose -x*g = -0*w - 4*w - 28, -5*w = -2*g + 33. What is the units digit of 26 + (-4)\/(g\/(-2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 624\/(-990) - (-4)\/6. Which is greater: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 11140*a + 697853 + 512323 + 138758 - 90114 = 0 for a.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-46)\/(-32338)*-19*-2*(-4)\/8.\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = 5*g + 5. Is w(7) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.020094 + -3.\nAnswer: -3.020094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l = -387 - -387. Suppose l + 0*k + 2\/13*k**5 + 0*k**2 + 0*k**3 + 2\/13*k**4 = 0. Calculate k.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -59 + (122 - (-78 + 131))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-p - 3*p + p)*(-4246*p**2 + 3*p**3 + 74908188*p - 74908188*p).\nAnswer: -9*p**4 + 12738*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = 20*r**2 - 132*r + 86. Determine j(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z = -183\/13 + 2317\/208. Let h = -65\/4 - -151\/6. Let f = h + 43\/12. What is the common denominator of f and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve a - 16 + 12 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -31*a = 24*a + 100*a + 775 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 929803?\nAnswer: 7, 19, 6991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w = 10.4 - 29.4. Is w at most as big as -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.042 + -45.958. Let m = s + 45.9999981. What is m rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f + 4*g = -16, 5*f + 0*g - 32 = -g. Suppose -f = o - 2*o. List the prime factors of 5\/2*o\/5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 107026, 214470, 321914, 429358?\nAnswer: 536802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -20*i = -25*i - 32*i - 296 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = 22*l + 327. Calculate the least common multiple of y(-14) and 190.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.4, -136, -0.18, -4\/17, -1\/13?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 9135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p - 4*r - 8 = 0, 4*r = -0*p + p - 8. Let h = p - 0. Which is bigger: -2\/15 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose z = -j - 6 + 12, 0 = -3*z + j + 14. Find the third derivative of -7*o - 5*o - 18*o**3 + 4*o**2 + z*o wrt o.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -22, -104, -330, -772, -1502, -2592, -4114?\n\"Answer: -12*f**3 + 2*f - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = o**2 + 3*o - 1. Let v be u(-4). Suppose 0 = v*x - 11 - 10. Suppose x*m = 3*m + 76. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 155 - -5?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_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: What is 277 divided by 8?\nAnswer: 277\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 37708552?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: (114\/(-8))\/(-6 - (-54)\/12)\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t**(1\/4)\/t*(t\/t**(-3)*t)\/t*t*t*(t*t**5*t)\/t*t\/t**(-7\/4))**(1\/6))**38 assuming t is positive.\nAnswer: t**(266\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 2*5\/(49 - 4)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Divide -7 by -14.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 56 (base 10) to base 16.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = h**3 - 25*h**2 + 96*h - 82. Give m(21).\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = t**3 - 4*t**2 - 27*t - 10. Let k(a) = a**2 + 6*a + 17. Let f be k(-4). What is the units digit of w(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = p**2. Let t(b) = 954*b**2 + 1218*b + 2. What is t(m(h))?\nAnswer: 954*h**4 + 1218*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 26229494 and 83?\nAnswer: 26229494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 1608615, 6434458, 14477531, 25737834?\n\"Answer: 1608615*s**2 - 2*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-3*(-2)\/18)\/((-2)\/(-18)). Suppose 0 = 5*p - 8 + 3. Put -4, n, p, -5 in increasing order.\nAnswer: -5, -4, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:25 PM and 10:09 PM?\nAnswer: 284","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} {"text":"Question: Let i(r) = 5*r**3 - r + 1. Let x be i(1). Suppose 0 = -3*n - 5*t + 230, -50 = 3*n - 4*n + x*t. Is n a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 5 + 8*z)*(2 - 2 + 2) - 4 + 4 + 3*z + 3*z - 3*z + 2*z + (3 - 3 - 4)*(-2*z + 2*z - 2*z).\nAnswer: 29*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y = -12 - -8. Let i(u) = -7*u - 2. Let r be i(y). Let m = -8 + r. Is 8 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 78776681749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = 5*v - 1. What is h(-3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = -p**2 + 0*p - 3*p + 7 + 8*p. Let b(m) = m**2 - 5*m - 7. Let f(n) = 5*b(n) + 6*r(n). Calculate the remainder when f(6) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = t**3 - 14*t**2 + 16*t - 15. Let v = -12 - -25. Let n be l(v). What is the highest common factor of n and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose c + 3*c = 4*k - 16, -5*k = -4*c - 19. Which is bigger: c or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 72, 147, 222, 297, 372, 447?\nAnswer: 522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(10) + 2*sqrt(10))\/sqrt(2) + (sqrt(15)\/sqrt(3)*2)**2 + 4.\nAnswer: 3*sqrt(5) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-742)\/(-159))\/((-4)\/(-462)). Let t = x - -1508. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = 0 + 4 + 0 + 22*c. Let r be w(2). Suppose 2*m = -q + r - 12, m + 3*q = 8. Solve -4*z = -4 + m for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23*t = -21*t - 14. Suppose 4*r - 14 = -t*i + 4*i, -3*r - 3*i + 12 = 0. Suppose -4*u + 102 = r*v, -u - 28 = -5*v + 172. What are the prime factors of v?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y + 3*x = -7, 5*y - 4 - 4 = 2*x. Solve -4 = y*z, -b + 3*z = -3 - 1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**2*r)**(-1\/7)\/((r\/(r**0*r))\/(r*(r*r**(-1\/5)\/r)\/r)) assuming r is positive.\nAnswer: r**(-22\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 482 = 12*h - 118. Let p(f) = 2*f**2 - 6*f - 7. Calculate the remainder when h is divided by p(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 41037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {e: 2, d: 4}. Give prob of picking 3 d and 1 e.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*n**2 - 24315*n.\nAnswer: 5*n*(n - 4863)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s = 123\/320 - -1\/64. Let g(u) = -u**3 + 4*u**2 - 2. Let h = 3 + 1. Let b be g(h). What is the third biggest value in b, s, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*m - 12 = -4*h, 5*h + 29*m = 140 + 19 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 73*k + 9365 + 10564. Which is greater: k or -269?\nAnswer: -269","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 12512164 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1 or 2\/10615?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.7000455nm to millimeters.\nAnswer: 0.0000007000455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*u - 27*u + 11*u + 11*u + 70 = -10*s, 4*u + 2*s = -14 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 325 is divided by (-8550)\/(-105) + 4\/7.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 11*d**6 - 2*d + 22*d**4 + 0*d**2 - 25*d**4 + 5*d**2 wrt d?\nAnswer: 1320*d**3 - 72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 39745, 19492, -761, -21014, -41267, -61520?\n\"Answer: -20253*d + 59998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(sqrt(891) - ((2 + sqrt(891) + sqrt(891))**2 + sqrt(891))*3).\nAnswer: 234*sqrt(11) + 10704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 168794?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*h - 2*f + 2 = 0, 4*h - 5*f + 3 = 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 4695 and 28455.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r**5\/3 + 4388*r**4\/3 + 2471672*r**3\/3 + 71073392*r**2\/3 + 447342080*r\/3 - 1198821376\/3 = 0. What is r?\nAnswer: -1082, -16, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1 - -3. Let b = -2 - -3. Let l = i - b. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 10.895, -5, 0.4, -4\/11 in decreasing order.\nAnswer: 10.895, 5, 0.4, -4\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u = 429\/1780 + 4\/445. What is the closest to 0.01 in 1, 2\/5, u, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -186 + 189. Suppose -m*p + 8*p = 20. Solve -6 = -3*k, -p*j + k - 7 = 3 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -3, 184, -2, 52, -4 in ascending order.\nAnswer: -4, -3, -2, 4, 52, 184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose w - 5 = -2. Let z(v) = v + 9. Let j be z(-7). Suppose 0*f + 2*b = w*f - 23, -j*b = 2. What are the prime factors of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = -q**2 + 12*q + 11. Let k be r(13). Let x(l) = l**2 - 3*l + 3. Let i be x(3). Sort i, 5, k in decreasing order.\nAnswer: 5, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r - 2 = 2. Let i be 2*r*9\/24. Sort 4, 0, i in ascending order.\nAnswer: i, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 121\/1458 and 23\/1978794.\nAnswer: 160282314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 770 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q be 408\/(-1088) + -24406*2\/(-288). Which is smaller: q or 169?\nAnswer: 169","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 9 and 3564.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Divide 522 by -21.\nAnswer: -174\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*f = -5*j + 66, -5*f - 36 = -1. Solve j*a + 4165 - 4159 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_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: What is the tens digit of 2 - (-8)\/((-8)\/(-2089))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*v + m - 2, 10 = 3*v - 6*v + 5*m. Solve 5*p - 5*y + 2*y - 28 = 0, 3*p + 3*y - 12 = v for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 11.9? (a) 2154 (b) -4 (c) 0.5 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = 23*n**2 + 6*n - 12. Let o be a(2). Let y = 97 - o. Let f(u) = 6*u**3 - 3*u**2 + u + 2. Let l be f(2). What is the highest common divisor of y and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 323075609*m**4 - 105637732*m wrt m.\nAnswer: 3876907308*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from {i: 7, a: 2, n: 4}.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 82476315 is divided by 9164035.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 439 minutes after 6:11 PM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v be 14\/8*12\/(-14). Suppose 519*r - 526*r + 21 = 0. Which is the nearest to r? (a) -5 (b) 6 (c) v (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s**2)**(-43))**(-9\/8)\/((s\/s**(1\/4)*s**(-2\/19))\/(s\/(s\/(s**(5\/6)\/s))*s**(-3))) assuming s is positive.\nAnswer: s**(10595\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Divide -47954 by 479.\nAnswer: -47954\/479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify r**(-1)*r\/(r\/r**(2\/17))*(((r*r**(-3)*r)\/r)\/r)\/(r\/r**(-4\/9))*(r*r**(2\/5))**(-4)*(r*r**(-1))**5 assuming r is positive.\nAnswer: r**(-8359\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*c**2 - 4*c + 2 + 4*c)*(2 - 5 + 1)*(-3 - 9 - 7).\nAnswer: -76*c**2 + 76","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*t + 6*t - 286 = 0. What is the remainder when t is divided by 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10830 rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n = 3 + -2. Suppose 25*i - 12 = 21*i. Let y = 8\/3 - i. Which is smaller: n or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 2*d**2\/3 + 38*d\/3 + 56 = 0. What is d?\nAnswer: -12, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1981 = -342*k + 59*k. Which is the nearest to -0.3? (a) k (b) 1\/6 (c) 4 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3.4*-0.28.\nAnswer: -0.952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = 2*q**3 - 5*q**2 - 8*q - 8. Suppose -3 = -2*f + 3. Let v(n) = -2*n**2 - 3*n + 3 - 5 - 4 + n**3 + 3. Calculate f*r(k) - 8*v(k).\nAnswer: -2*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0013501 to 4 dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round 0.2719591457 to 4 dps.\nAnswer: 0.272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.4, -4, -1\/100?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put 65, 5, 0, -1367 in increasing order.\nAnswer: -1367, 0, 5, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 2\/7 (b) -2 (c) -2\/5 (d) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express -2609*m**2 + 8 + 2611*m**2 - 44*m - 2 as p*m + i*m**2 + d and give p.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 n, 1 r, and 1 v when three letters picked without replacement from {v: 7, m: 4, p: 3, r: 3, n: 2}?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -1987086, -3974210, -5961334, -7948458, -9935582, -11922706?\n\"Answer: -1987124*o + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 355977 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Multiply 2 and -62.\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 2\/9, -2, -0.2, -42, 15?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = -h**2 - 4*h + 4. Suppose -187 = -5*x + 3*p, 3*x - 78 = x - 2*p. Suppose 2*q - 4*q = -x. What is the remainder when q is divided by b(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*c = 5*z + 8, 3*z = 4*c - 2*z - 16 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -314927, -314941, -314955, -314969?\n\"Answer: -14*k - 314913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f + 9 = -3*i, 4*i + f + 9 - 7 = 0. Let u = 244.46 + -244. What is the second smallest value in i, u, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -146 = 24*x + 142. What is the fourth biggest value in -1, x, -2, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:19 PM and 9:44 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 838 = 300*z - 5*z - 2997 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1296 + -316. Does 35 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 89\/42 + -11\/6. Let u = -0.8312 - -0.6412. What is the closest to -0.2 in u, y, 3\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -g**3\/7 + 998*g**2\/7 + 429*g.\nAnswer: -g*(g - 1001)*(g + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -37\/1692 and 97\/6.\nAnswer: 1692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let 2*a**2\/3 + 165537748*a\/3 + 3425343251613938\/3 = 0. What is a?\nAnswer: -41384437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 57192, 57018, 56854, 56706, 56580, 56482, 56418?\n\"Answer: n**3 - n**2 - 178*n + 57370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 7, n: 11, i: 1}. Give prob of picking 1 l and 1 n.\nAnswer: 77\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 3063093 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Multiply 60 and 14184.2.\nAnswer: 851052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 520722 to the power of 1\/2, to the nearest integer?\nAnswer: 722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -351 in -2, 2, -0.054?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m be 0 + 0 - (-468)\/(-6). Let b be 12\/(-18) - 56\/m. Let v = b - 47\/156. What is the smallest value in v, 7, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -3, 10, 39, 90, 169?\nAnswer: 282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2 + 2 + 13*g**2.\nAnswer: 13*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 46026.\nAnswer: 2, 3, 2557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 2028 and 182264?\nAnswer: 92407848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 5290, 5289, 5288, 5287, 5286, 5285?\n\"Answer: -n + 5291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -881+1\nAnswer: -880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = 17*r + 1006. What is the smallest common multiple of 3 and l(0)?\nAnswer: 3018","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1694.7 - 1773. Let p = l + 78. What is the smallest value in 11\/6, 0.4, p, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r - 23 = -8*x + 4*x, 4*x - r = 3. Let h be ((-17)\/x)\/(1\/(-2)). Suppose 2*n + 4*k - 24 = 0, 5 = -n - k + h. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 768368075 a multiple of 4085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o - 3*o + 6*o - 187735 = 0. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 16 - u**4 + 0*u**2 - 4*u**3 - 18 + 2*u**2 + 4*u in the form y*u**4 + f + d*u**2 + m*u**3 + b*u and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is ((-21)\/(-9) + 0)*255\/5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h - g = 29, 47 = 14*h - 9*h - 2*g. Let t(a) = a**3 - 7*a**2 - 8*a + 20. List the prime factors of t(h).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) be the first derivative of -n**5\/10 + 3*n**2\/2 + n - 3. Let r(c) be the first derivative of k(c). What is the first derivative of r(b) wrt b?\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -7 by 1087.\nAnswer: -7\/1087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 3*i*o + 235122773*i + 12947965*o wrt o?\nAnswer: 3*i + 12947965","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h = -390 - -450. Which is greater: h or 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 14\/10 + (-14787)\/(-795). Put 1, r, -1, 6 in increasing order.\nAnswer: -1, 1, 6, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = w**3 + 15*w**2 + 8*w + 4. Let o be z(-6). What is the greatest common divisor of 80 and o?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 130 divided by 2684.\nAnswer: 65\/1342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 561 != 482207?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = 0*c + 13 + 15*c - c**2 - 28 + 19 + 2*c**2. Determine v(-17).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 14158?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 72550 to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -299 = -2*l + 3*z, 0 = 5*l + 3*z - 2*z - 756. Let s be (-2)\/(-1 + -1) + -68. Let d = s + l. Calculate the highest common divisor of 12 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 49\/(-10) + 10\/(-15)*3 and -69\/14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 1210101 - 1102?\nAnswer: 1201222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 10 and 235.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) be the first derivative of 3*t**2 + 3*t + 5. What are the prime factors of v(9)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -5 - 492c?\nAnswer: -4932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x = -29 + 18. Let d = -14 - x. Put 0, d, -1 in decreasing order.\nAnswer: 0, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 43 is divided by 41.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = -4*z**3 - 1. Let f be y(-1). Suppose -4*q - f = 17. Let t be 1\/(-9)*(-3 - q). Which is the smallest value? (a) 0.5 (b) t (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 315 + -315. Suppose 5*c = n + 410, f = -4*c + c - n + 238. Is 8 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-6)\/21 - (-6)\/21. Suppose q*a + a - 5 = 0. Find the third derivative of 6*p**4 - a*p**2 - 7*p**4 - 2*p**4 wrt p.\nAnswer: -72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -42 + 34. What is the remainder when 177 is divided by r\/1*(-18)\/8?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 117815371409978 - 5.\nAnswer: 117815371409973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = -5*k + 3. Let a(c) = c - 2. Let b be a(4). Let u(v) = v + 7*v - b - 4*v. Give 3*q(g) + 4*u(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express 5*w**3 + 4*w**2 + w + w**2 - 2*w**4 - 3*w**3 - w**3 in the form d*w + b*w**2 + y*w**4 + m + n*w**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = -5*q**3 + 4*q**2 + 4*q + 2. Let p be d(-2). Let b be ((-40)\/p)\/(2\/(-25)). What is the highest common factor of 40 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -185 - 515 = -5*f. Suppose -v + 6*v = f. Solve -3*b + 13 - v = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 1 + (-6 - -5) - (-2)\/4. Solve 9\/2*q**5 - 1\/2 - 5*q**3 + v*q + 5*q**2 - 9\/2*q**4 = 0.\nAnswer: -1, -1\/3, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*((-3 + sqrt(243) + -2 + sqrt(243) - sqrt(243)) + -1 + sqrt(243) + sqrt(243) + -4 + 3)**2 + -2 + -1.\nAnswer: -13419 + 2268*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (4 + -2 + 1)*(-4)\/24?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 17 + -116 + 48 + -36?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in one fifth of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1247 is divided by 45.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*p - 4*p - p + (-2 + 3 + 1)*(-3*p - 2*p + 0*p) + (-p + 0*p - p)*(-2 + 3 - 3).\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Work out 9 * -217.26051.\nAnswer: -1955.34459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 232*h - 153 - 135 = 88*h. Solve 195\/2*o**3 + 10*o - 70*o**h - 70*o**5 + 215\/2*o**4 + 0 = 0 for o.\nAnswer: -1, 0, 1\/4, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -27 = -17*f - 10*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = -2*j + 3. Let r be g(-2). Suppose 12*l - 15 = r*l. Let a be (301\/(-3))\/(-7) + l\/(-9). Solve -3*x + a = 5*t - 0, -3*t + 3*x = -18 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -717 and 365.\nAnswer: -261705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = 3*p**2 - 17*p - 13. Calculate the remainder when b(9) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence axx when three letters picked without replacement from {x: 3, a: 2, b: 3}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 31384835*b**2 - 1666595*b wrt b?\nAnswer: 62769670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = 143 - 147 + 2*h + 3*h. Let a be 2*(-6)\/4*1. Let s(v) = -14*v + 11. What is a*s(g) - 8*i(g)?\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 w and 1 m when two letters picked without replacement from mzwqzwnn?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 9.1052544 rounded to three decimal places?\nAnswer: 9.105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s be 6 - -8*24\/(-32). Let t(w) be the third derivative of s + 0*w - 11\/24*w**4 + 0*w**3 + 5*w**2. Let y(d) = 2*d. Determine t(y(j)).\nAnswer: -22*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 67764.94 rounded to the nearest 100?\nAnswer: 67800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*m = -108 - 66. Find the third derivative of m*p**3 + 19*p**3 + 305*p**3 - 140*p**3 - 236*p**2 wrt p.\nAnswer: 1278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -6 - -12. Suppose -f*s + 4*t + 18 = -3*s, -t = -2*s + 17. Calculate the remainder when 6*2\/12*28 is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t + 4*z + 16 = 0, -15 = 3*t + 5*z + 5. Let j be t + (-1668)\/(-4 - 0). Suppose -3*b + j = 60. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 f, 1 p, and 2 i when four letters picked without replacement from pigivtf?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = -284*z + 30. Let a be m(-16). Let j = a + -27523\/6. Calculate the common denominator of j and (-26)\/12*14\/18.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 282*v**2 + 646*v**3 + 44*v + 380*v**2 - 957 + 957 + 28*v**4 = 0.\nAnswer: -22, -1, -1\/14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 80812?\nAnswer: 2, 89, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 113*f**3*o**2*w**3 + f**3*o**2*w**2 - 4502*f**3*o**2 - 4*f**3*o*w**2 - 652433*f**3*w**3 - f**3 + f*o*w**2 + 19*o*w wrt w?\nAnswer: 678*f**3*o**2 - 3914598*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Add together 646.41906928 and -5377.\nAnswer: -4730.58093072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 12241842 and 81612280.\nAnswer: 244836840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -8762 + -1?\nAnswer: -8763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = -3*d**2 - 4*d + 35. Let c(a) = 3*a**2 + 6*a - 34. What is 3*c(s) + 4*q(s)?\nAnswer: -3*s**2 + 2*s + 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o = -382 + 384. Sort -1, -0.3, o, 0.5 in descending order.\nAnswer: o, 0.5, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1793.80752 + 472.1988. Let c = -1322 - l. Let g = 0.39 + c. Round g to 4 dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 514188211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = i + 7. Let h be q(-9). Let c = 5 - h. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:57 PM and 8:44 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put 0.1, -4, 5\/3, -11\/3 in increasing order.\nAnswer: -4, -11\/3, 0.1, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 328839640 and 280?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 157 (base 9) in base 2?\nAnswer: 10000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 3, n: 8, v: 5}. What is prob of picking 1 a and 1 v?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*c**3 + 2*c**2 + 0*c**2 - 3*c**2 - 12*c**2.\nAnswer: -2*c**3 - 13*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -43, -53, 123, 575, 1393, 2667, 4487, 6943?\n\"Answer: 15*k**3 + 3*k**2 - 124*k + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 554945?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1126643435.\nAnswer: 5, 89, 28447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose n**5\/4 - 112*n**4 + 3233*n**3\/4 + 63287*n**2\/2 - 32340*n = 0. What is n?\nAnswer: -14, 0, 1, 21, 440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*k - 4*d + 29 = 0, k + 8*d - 22 = 3*d for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 34320\/26400*8\/39?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -498 - 173 = -91*r + 239 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -20 + 134 + 126 = -80*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = 4*l - 16. Let h be g(2). Let f(a) = 2*a**3 + 19*a**2 + 16*a - 15. Let n be f(h). Calculate the highest common factor of 14 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0 - 3 + 2)*(-3 - 1 + 2)*(-3 - 2*t + 3 + (24 + 33 + 6)*(0*t - 3*t + 4*t) - 2*t - t + 4*t) to the form c + s*t and give s.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = 3*h**3 + 10*h**2 + 4*h - 90. Give k(4).\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i = -12 - -31. Suppose 3*l + 2*x - 7 = 10, -x - i = -4*l. Suppose 2*v + 169 = o, l*o - 740 = -3*v + 157. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k = -4*b + 28, 2*k - 4 = -8*b + 4*b. Suppose c + 24 = -3*g, b*g + 36 = -5*c - 36. Let s = c + 15. Solve -x + s = -4*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 + 1 = w. Let r be ((-12)\/(-10))\/3*(108 + -3). Suppose -r - 56 = -w*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -99 - -97. Let i be (-88)\/20 - (-3)\/(-5). Is i >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose d - 2*b = 0, -3*b = -2*d - 0 + 3. Let t be ((-3)\/(-2))\/(6\/8). Suppose t*i + 2 = 3*i. Calculate the remainder when d is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -45*o - 2 = 17*x - 18*x - 40*o, x - 2*o = -1 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 79097 is divided by 1297.\nAnswer: 1277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f - 52 = 138. Let h = f + 84. Suppose -h = -0*u - 2*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 28068, 27951, 27834, 27717, 27600, 27483?\nAnswer: 27366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = -6 - -3. Let t = 1 - b. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 38 + -18. Suppose -2*t = f + 3*t - v, 4*f - 8 = -2*t. Let g be (-1 - 2)\/(f + -1). Solve 2*h = g*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 4\/7*j**4 - 40\/7*j + 44\/7 - 48\/7*j**2 + 40\/7*j**3 = 0. Calculate j.\nAnswer: -11, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 7296 + -7260. Calculate the remainder when 426 is divided by t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) be the third derivative of -25*a**8\/336 - a**5\/3 - 15*a**2. Find the third derivative of z(c) wrt c.\nAnswer: -1500*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 742217 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) be the third derivative of 1\/6*g**3 + 0 + 8*g**2 - 1\/24*g**4 + 0*g. Determine y(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 61, 36, -61, -266, -615, -1144, -1889?\n\"Answer: -6*k**3 + 17*k + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -29? (a) 4 (b) -0.16 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z**(-14)*z*z*z**8)**19)**(-36) assuming z is positive.\nAnswer: z**2736","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 4 - 17 - 4 - (16 + -20)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 27243 a multiple of 184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 28240561 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Product of 1291 and -345.\nAnswer: -445395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -114.58 and -0.085?\nAnswer: 9.7393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*a - 2*a + 2*a + (4 - 3 - 3)*(0 + 0 + 2*a))*(-8 - 9 + 6)*(-4 + 4 - 1).\nAnswer: -22*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 483 and 107877?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 15\/25*3*-5 - 5\/(25\/45)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -968c + -5?\nAnswer: -9694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 - (13 + -7) - -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: ((-2546)\/469)\/(5 - (-252)\/(-49))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 134079 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1400, -2780, -4160, -5540, -6920, -8300?\nAnswer: -9680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 20 a factor of 20442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 312143824?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l = 12.86 + 2.14. Let y = -29 + 16. Let j = y + l. What is the third smallest value in j, -1.5, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-1 + 7)*(-1)\/8. Let t = 7 - 9. What is the nearest to 0.2 in t, y, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-34*c + 20*c + 27*c)*(-2 + 8 - 3)*(-3 + 2 - 1)*(-3 + 1 + 4) to the form t*c + v and give t.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is eleven halves of a day in minutes?\nAnswer: 7920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(330)\/(sqrt(704)*3))\/(sqrt(294)*3*-2))**2.\nAnswer: 5\/1016064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p = -9\/14 + 53\/28. Let n = 0.3 - 0. Sort n, -4\/9, p.\nAnswer: -4\/9, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 513, 925, 1333, 1737, 2137, 2533?\nAnswer: 2925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(sqrt(84)\/((sqrt(21)\/sqrt(3) - sqrt(7)) + sqrt(7)))**2*2 - ((4 + sqrt(432)*-2)**2 + -3 + (sqrt(3) - (-2*-2*sqrt(3))**2) + sqrt(3)).\nAnswer: -1813 + 190*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y**0\/y*y)**(-2\/3))**(-44) assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h = 7 - 7.01. Let x = 0.05 - h. Round x to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -7.0371103 rounded to zero decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o = -3*t + 4*t + 8, -5*o + 14 = -t. Let i(j) = 3*j**2. Let c be i(-1). Solve w + w = -o*u, -c*w + 1 = 4*u for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -72283100 rounded to the nearest 10000?\nAnswer: -72280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*p + 2*q - 878, 2*p + 5*q + 469 = 4*p. Suppose -367 = -5*g + 4*y, p = 5*g + y - 130. What are the prime factors of g?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 681 minutes before 7:30 PM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 15 (base 12) in base 11?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 3 - -3.545269414157?\nAnswer: 6.545269414157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from fffffffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 8302.51 millilitres?\nAnswer: 8.30251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = -2*c**3 + 34*c + 4. Let f be i(7). Let u = f + 455. Solve -5*g + u = 16 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.188809 rounded to two decimal places?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) be the first derivative of -3 + 0*k + 0*k**2 - 1\/12*k**3 - 1\/16*k**4. Factor d(v).\nAnswer: -v**2*(v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -453 - -443.14. Let a = u + 9.5. Put 5, -0.08, a in decreasing order.\nAnswer: 5, -0.08, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: (156\/(-130) - 22\/(-10))*9 - -8\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -4 in 0.01, 2, -2\/129, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = -v**3 - 9*v**2 - 7*v + 8. Let q be m(-8). Suppose 2*p - p + 7 = q. Let c = p - -12. Solve c*a + 3 + 22 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -131, 399, 0, -9 in descending order.\nAnswer: 399, 0, -9, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 24, 27, 18, -9, -60, -141, -258, -417?\nAnswer: -624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.421 - 0.4. Let x = 8722 - 8717.979. Let g = x - n. What is the second biggest value in g, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z = y + 2*y + 1, 3*y - 5*z = 19. Let v be ((-3)\/2)\/((-54)\/(-8)). Sort 0.2, -0.2, y, v.\nAnswer: v, -0.2, 0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3132\/174 - (-4224)\/(-234)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) be the second derivative of 5*x**4\/12 - 2*x. Let j be q(-1). Let d(k) = -k**2 + 7*k - 5. Let o be d(j). Solve i = o*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 203.993 and 12.\nAnswer: 2447.916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 690 minutes before 6:11 PM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = -2*t - 2. Give x(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is thirty-three fifths of a century in months?\nAnswer: 7920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -46046.8 and 3.944?\nAnswer: 46050.744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ztrbwtbv. Give prob of picking 1 r, 1 v, and 1 z.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 3.382947ms in hours?\nAnswer: 0.0000009397075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 11657140 (base 10) to base 8.\nAnswer: 54357664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b = 440*l - 435*l - 385, -3*l + 3*b + 213 = 0. What is the greatest common factor of l and 58?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 96*m*o*q**2 - 2*m*o*q - 13815*m*o - m*q**2 - 15*m*q + 2*m + 217*o*q**2 + o*q + o + 3*q wrt q.\nAnswer: 192*m*o - 2*m + 434*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = -4*j**2 - 5*j + 7. Give d(2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = -y**2 + 14*y - 27. Determine u(7).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Are -117 and -8530\/73 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:05 AM and 6:26 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = -a**3 - 57*a**2 - 57*a - 18. Give p(-56).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1\/184662 - 750374033\/738648. Let t = 1014 + p. What is the fourth biggest value in 1\/10, t, 6, 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 361205126 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o be 2\/13 - 6589\/(-13). Let m = 352 - o. Let j = 252 + m. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 6524 + 3?\nAnswer: 6527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is z in 3*z**2\/2 + 269493*z\/2 + 134745 = 0?\nAnswer: -89830, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 1 + 20)*(4*o - o - o)*(0 + 0 - 3*o).\nAnswer: -120*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0 + 2. Let c = 4 - h. Suppose 3*q + q - 12 = 0. Solve -4*k = -q*z + 6 + c, -5*k - 10 = -5*z for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = 2*n + 8. Let s = 44 - n. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = -2*n. Let v(j) = 35 - 6*j**2 - 7*j**2 - 48*j**2 - 23*j**2. Let s(i) = 5*i**2 - 2. Let f(b) = 35*s(b) + 2*v(b). Calculate f(l(o)).\nAnswer: 28*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(120) + (sqrt(120) - sqrt(120)*-1)*3)\/(sqrt(80)\/(2*sqrt(8))))\/(((sqrt(80)*1)\/sqrt(4))\/sqrt(720)))**2.\nAnswer: 84672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is -1 at least as big as 2\/12969?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 s when two letters picked without replacement from sws?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p - 4 = -2*c, -4*p - c + 28 = -2*c. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -70, -152, -2.\nAnswer: -152, -70, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*q**3 - 8956*q**2 - 7124938*q + 7133896 = 0 for q.\nAnswer: -3443, -1036, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in 91, 695, 2327, 5497, 10715?\nAnswer: 18491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 43334820.\nAnswer: 2, 3, 5, 19, 12671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = 75*y - 17. Let l(x) = 37*x - 9. Let r(o) = -7*l(o) + 4*n(o). Does 13 divide r(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = 6*g - 2. Let m(a) = -13*a + 2*a + 10*a. Suppose -4*f = -2*y + 4*y + 10, 2*f + 4 = 0. Calculate y*l(b) - 5*m(b).\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 8.453543 kilograms?\nAnswer: 8453543000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -187 + 185 = 41*o + 121 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p = -565 - -5086. What is the remainder when p is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v - 459 = 3*i, 0*i - i + 2*v - 153 = 0. Let d = -105 - i. Suppose -9*l - d = -11*l. Is l a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {w: 4, j: 2, p: 4, y: 1, i: 3}. What is prob of picking 4 p?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -191*q - 12019 = 1867 + 821 for q.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1395168 is divided by 174390.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 6 = 2*i + 4*d, 138*i + 367*d - 1522 = 368*d for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = -7*d**3 + 0 - 3 - 4*d**2 - 3*d + 1. Let z be u(-2). Suppose z + 40 = 3*y. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 s when four letters picked without replacement from {s: 19, a: 1}?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) be the first derivative of 17*r**3\/3 - r**2\/2 - r + 759. What is q(-1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*r**2 - 5*r**2 + r**2)*(-2*r - 2*r + 3*r)*(-22*r + 4*r - r).\nAnswer: -38*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert 1110010 (base 2) to base 9.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = 11153476\/643 - 17346. Which is bigger: d or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) 2 (b) 6 (c) -2\/9 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + ((-3*sqrt(300)*1 - sqrt(300))\/(sqrt(100)\/(sqrt(160) - sqrt(10))))\/(-4*sqrt(160) + (sqrt(300)\/sqrt(6))\/sqrt(5)).\nAnswer: 1 + 4*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s be -2 + (-114)\/(2 + -5). Let z(c) = 0*c + 2*c + s - c. What is the remainder when z(0) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 23256415693 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 63117 = -2898*h - 5349*h + 417738 for h.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find u such that -4\/11*u**4 + 2\/11*u**5 + 2\/11*u - 4\/11*u**3 - 4\/11 + 8\/11*u**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 3 - -5?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 7, p: 5}. Give prob of sequence ps.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 111 or 110?\nAnswer: 111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 71*v - 68*v - 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.3 and 12814.576.\nAnswer: -3844.3728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 2056*c + 943*c + 1179*c = -154586 for c.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 3164 and 904.\nAnswer: 6328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 184630 at least 1107781\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.09945 - -5.\nAnswer: 4.90055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -132 + 11033?\nAnswer: 10301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 12491*a - 6208*a = 6233*a + 1350 for a.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h - 5*j = 102, 2*h - 5*j - 52 = -2*j. What is the remainder when 137 is divided by h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) be the second derivative of -h**4\/4 - h**3\/3 + h**2 - 21*h. Suppose 3*c + 3 + 3 = 0. Give w(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 151 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -4609, -9586, -14931, -20644?\n\"Answer: -184*h**2 - 4425*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -7060 divided by 1\nAnswer: -7060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round -13699540 to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 30682 and 118519?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k be 2\/2 + 0 + -1. Let d be (3\/63)\/1*(7 + -1). Let j = 2.1 + -3.1. Which is the nearest to j? (a) k (b) 4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jjjd when four letters picked without replacement from {g: 1, j: 6, d: 3, w: 2, c: 1}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z = 4*s - 6425, 0 = z + 146*s - 148*s - 1299. Does 6 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -23715*x + 2*x**2 + 23715*x.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 4 = 5*t - 2*y, 2*t - 5*y = -t - 9 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 1156152 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = -u**2 - 9*u + 8. Let g be h(-10). Let a be (15\/6 + -4)*g. Factor 9\/2*s**a + 1\/2*s**5 + 7\/2*s**2 + 0 + 5\/2*s**4 + s.\nAnswer: s*(s + 1)**3*(s + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 1 + 2)*(-6*b + 785 - 785) + 9 - 9 - 11*b + (-2 - 1 + 1)*(3*b + 2*b - 6*b).\nAnswer: -27*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g be -2*(-1 + 2) + 0. Let p be -1 - g\/(-10)*-3. Let n(f) = -f**3 - f**2 + f. Let z be n(0). Sort z, p, 2\/5 in increasing order.\nAnswer: p, z, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -3345 - -16445. What are the prime factors of v?\nAnswer: 2, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = -3110*t + 125381. Determine q(40).\nAnswer: 981","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (728\/(-156) + 40 - 35) + 838\/6?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (153 - 65 - 63)*(-h**4 + 3*h**4 - 3*h**4).\nAnswer: -25*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 315 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let 2*a**5\/3 - 8*a**4 + 26*a**3\/3 + 60*a**2 - 424*a\/3 + 80 = 0. Calculate a.\nAnswer: -3, 1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 11*y + 1 = -4*v + 14*y, 5*y = -5*v - 45 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}