diff --git "a/data/dm_maths/full_data/1593_11255.jsonl" "b/data/dm_maths/full_data/1593_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1593_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let l be 44\/66*27\/(-2). Is l <= -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-29)\/(-1305))\/(2\/12). Put 1\/7, 6, l in increasing order.\nAnswer: l, 1\/7, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q**(-1\/3)\/q))\/q)**(-4\/5))**0 assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567) - 1*sqrt(567)*-3)*2 + 4*(1 + sqrt(7) + 4 + sqrt(7))*-4)**2.\nAnswer: -6400*sqrt(7) + 17600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a - 17 - 80 = 47 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3003*w + 3000*w + 4*c - 14, 0 = -5*w + 2*c - 14 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 50, 82, 128, 182, 238, 290, 332?\n\"Answer: -j**3 + 13*j**2 + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5823*w**3 + w**2 + 4947?\nAnswer: 34938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q - 3*q + 2*q + 3*q.\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*(3*u**2 + 2*u**2 + 9*u**2)*(2 - 3 + 5)*(5 + 1 + 3 + 3 - 4 + 0 + (-5 + 4 + 2)*(-2 + 4 - 4) + 2 - 2 - 5).\nAnswer: 112*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 451.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 0, -3*x + 35 = 5*a - 0*x. Let k = -2 - -6. Solve 2*d = k*w + 18, -2*w + 5 = -d - a*w for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1.687, 4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 53698 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that t**2\/6 - 31*t\/6 + 65\/3 = 0.\nAnswer: 5, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 112669 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-18)\/(-22))\/((-340)\/(-1870)). Determine s so that -25\/2*s**2 + 15*s - f = 0.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/85624 and -7\/48.\nAnswer: 513744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.952695l in millilitres?\nAnswer: 5952.695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 divided by -3.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 11\/3 - 9*4\/54. Solve 2*o - 21 = -t*g - o, 4*g - 24 = -3*o for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 13 - 11. Let h = g - 9. Suppose 3*x**4 - 3*x + h*x**3 + 0*x**4 + x**2 - 4*x**2 = 0. What is x?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 47130 and 699095?\nAnswer: 4194570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 h, and 1 v when three letters picked without replacement from {h: 2, y: 1, v: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + -7)*(-1 - -3). Let s = r - -79\/5. Let d = 12 - 12.2. Which is the closest to d? (a) -3 (b) s (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -412, -12446, 10, -2 in decreasing order.\nAnswer: 10, -2, -412, -12446","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 5*s**2 - 4*s + 7. Let u be -4*4\/(-24) + 24\/18. Suppose -47*z = -48*z + u. Let y(k) = k**3 - 4*k + 1 - 2*k**2 + 2*k + 2. Give z*a(v) - 5*y(v).\nAnswer: -3*v**3 + 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4535723 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3\/4, 94, 0.398, -1, 1\/2.\nAnswer: -1, -3\/4, 0, 0.398, 1\/2, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -71 (b) -14 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 82*p**2 + 306*p - 508. What is m(86)?\nAnswer: -3776","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 207 and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-708 - -716)\/((-8)\/36).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 689 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -16 - (-3)\/((-6)\/(-4)). Let x = w - -24. Solve -g - 2 - 2 = -2*d, 0 = -2*d + 4*g + x for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -343 + 22983\/67. Let l = -89547 + 11999361\/134. Let w = l + j. Which is the nearest to 1\/6? (a) -4 (b) w (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(567) + -1 + sqrt(567) + -2)*-5 + (3 + (0 + sqrt(7))*6)*-6)*1)**2.\nAnswer: 756*sqrt(7) + 111141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/4 (b) 0 (c) -3.6 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*1930670.68.\nAnswer: -579201.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -49 - -1 - (759 - 752) - 8.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.4 or 58\/19?\nAnswer: 58\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by -2 - 4\/1 - -26?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 745 and 7.\nAnswer: 5215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1\/10 of a millennium?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.989365nm in kilometers?\nAnswer: 0.000000000008989365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -4.63. Let v = 0.4 + o. Let f = -0.369 - v. Round f to two dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 3 = -2*l, 2*i + 407*l + 9 = 408*l for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 571*l**3 - 286*l**3 - 286*l**3.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32042, -7, -5, 0 in decreasing order.\nAnswer: 32042, 0, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 940198?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9068194939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - -2. Let i be ((-10)\/h)\/(1\/(-2)). Find the third derivative of -3*g**2 + 0*g**5 + 7*g**i - g**2 wrt g.\nAnswer: 420*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*i - 14*i + 19*i + 2 - 12*i + 3*i.\nAnswer: -40*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 919744, 919740, 919726, 919696, 919644?\nAnswer: 919564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08098 to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 47.58\nAnswer: 142.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.8 (b) -0.5 (c) -34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 4*w**2 - 3*w + 4. What is c(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 4*o**4\/3 + 3392756*o**3\/3 + 319755189120*o**2 + 30139910322278400*o + 873788512813056000 = 0?\nAnswer: -282720, -29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of 0 - 5\/6*r**3 + 0*r**2 + 24*r. Let q(d) = 3*d. What is q(s(f))?\nAnswer: -15*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 7*x**2 + 5*x. Let l be m(5). Let r = l - -9. Let u = r + 40. Is 5 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -256 - -264.4. Which is bigger: 2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, 4\/9, -3, -4.11, 98, 5.\nAnswer: -4.11, -3, -2\/15, 4\/9, 5, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 - 42 = -9*s. Solve 3*f + c + c = 5, 3*c + s = 3*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1031123 (base 4) to base 2\nAnswer: -1001101011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -547 - -21b64?\nAnswer: 21619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 12. Solve 0 = -3*g + 2*g + m for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of s**4 + 2189*s**3 + 7631*s**2.\nAnswer: 24*s + 13134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**2 + 9*g - 8. Let j be p(7). Let d = -7 - j. Is 15 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 508274976*c**2 + 366433307?\nAnswer: 1016549952*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 + 11)*(72*i - 23*i - 2*i) + 3*i - 4*i + 2*i to o*i + f and give o.\nAnswer: 612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 22 = 2*u + 3*u, -4*y + 3*u = 4. Suppose -8 = -2*z + t + 5, 0 = -4*t - 12. Find the second derivative of l + y*l**z + l + l**5 wrt l.\nAnswer: 60*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*d + 8*d - 11*d + 5*d**2 + 11*d.\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1017, -1020, -1025, -1032, -1041, -1052, -1065?\n\"Answer: -h**2 - 1016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0257 + -0.1858. Let o = 0.44 + -0.28. Let l = o + k. What is l rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 7980390.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 7, -67, 0, -3, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -1 - (0 + -1) - 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 87*h**2 + 4*h - 4. Let d be y(2). Suppose 12*n = -10*n + d. Calculate the least common multiple of 16 and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2306321 is divided by 273.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g - 4. Let a be i(7). Let b be 5*(72\/10)\/(-3). What is the units digit of 22\/8 - a\/b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vttrakovvtvt. Give prob of picking 1 t and 1 k.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/(-20) + 1476\/10. Let s = -140 + u. Solve -4*o = -0 + s for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/15 and 58\/237.\nAnswer: 1185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110101022 - 1011?\nAnswer: -110102110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 44108 = 4*z, z = 5*l - 77144 + 3608. What is the thousands digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63 + 89 - 77 - -1.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**3\/5 + 1729*w**2\/5 + 256984*w\/5 + 25612 = 0.\nAnswer: -674, -190, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 6*n**2 - 9*n + 3. Let s be y(-7). Put s, 1, -1 in decreasing order.\nAnswer: s, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -484.1 + 484.5. What is the fifth biggest value in y, -4, -1, 0.2, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-78)\/(-16) + 1\/8. Put 4, 3, 2, w in descending order.\nAnswer: w, 4, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/3)\/(4\/6). Let b(q) = -3*q**3 - q**2. Let v be b(a). Let w be 68\/144 - v\/9. Are w and -0.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + k - 0*k - 1039, 0 = x - 5*k - 286. List the prime factors of x.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(3 - (-2 - -3)). Let h = 0 - y. Let m be (-1)\/4 - 536\/160. Is m at least as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5103 and 162?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 903131.\nAnswer: 151, 5981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (((-617400)\/112)\/105)\/(20\/(-24))\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - 1430*k - 71515. Determine l(-52).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**4 - 5*s**3 - s**2 + 5*s + 5. Let i(v) = -v**4 + 6*v**3 + v**2 - 6*v - 6. Let l(h) = -5*i(h) - 6*t(h). What is the third derivative of l(m) wrt m?\nAnswer: -24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of j**2 + 2*j + 1. Let u(p) = -p**3 - 3*p**2 - 6*p - 15. Let k be u(-3). What is z(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51472140 divided by 12388?\nAnswer: -4155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**2 - 2*b - 7. What are the prime factors of s(-5)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o + 24 = 0, 41 + 41 = 2*q + o + 125 - 39 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 d, and 1 q when three letters picked without replacement from {p: 2, s: 4, d: 3, q: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 444878009?\nAnswer: 29, 15340621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.4 - 21.4. Let p = j + 19.00322. What is p rounded to four decimal places?\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -121546\/255 - -2376\/5. What is the common denominator of -31\/6 and w?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 52*k + 24. Let c be u(-15). Let r = c + 442. Let l = 460 + r. List the prime factors of l.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 + 0*m**2 - 7*m**2)*(-5*m**3 - 9*m**3 + m**3).\nAnswer: 91*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 944*-2*(-6)\/((-108)\/(-279)).\nAnswer: 2, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k - 6*k - 5*k to a + w*k and give w.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - 0. Suppose -3097*f = -3083*f - 252. Calculate the least common multiple of ((-6)\/(-7))\/(w\/(-28)) and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 3*v + 4. Let h be l(3). Let w be 8 - 1*h\/2. Let x = 11 - w. Calculate the least common multiple of x and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/f**(-31)))\/f**(18\/7))**(-24\/11) assuming f is positive.\nAnswer: f**(5640\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -46*h**4 + 169*h**2 + 2*h. Let s(b) = -230*b**4 + 846*b**2 + 11*b. Let m(d) = -11*o(d) + 2*s(d). Find the third derivative of m(z) wrt z.\nAnswer: 1104*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81 - 93 = 6*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18368 + 45215. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fiff when four letters picked without replacement from ffiffffffiff.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 28926? (a) 0.4 (b) 0.01 (c) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-19 - -19)\/(4\/(-6)*3). Let f(a) be the second derivative of -8*a**2 + 4*a + 0 - 1\/6*a**3. What is f(s)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.78416553 rounded to 2 dps?\nAnswer: 6.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/1222300 and -109\/1150.\nAnswer: 28112900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3*1\/(-45) - 12201\/(-945)*33 and 6.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 + a + 5. Let y be p(0). Suppose -n + y*d + 36 = n, 4*n = 3*d + 86. Let i = 36 - n. Solve -5*k = 12 + i for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (6 + -5)\/((-6)\/((-672)\/(-35)))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 87 = -0. Let w = h + -7. Is 8\/44 + 15594\/w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 238*1\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1394658277 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 + 4)*(-3*k**2 + 4*k**2 - 3*k**2)*(-2*k - k + 0*k) to the form c + i*k + d*k**2 + b*k**3 and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -13*c**6\/6 - 10*c**2 - 24. Find the second derivative of n(j) wrt j.\nAnswer: -260*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -30 - ((-5 + -16 - -27) + 2).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of -5*b**4\/12 - 13*b**3\/6 + 9*b**2. Let o(z) = -5*z - 6. Let r(c) = -2*i(c) + 5*o(c). What is the derivative of r(x) wrt x?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 8*o - 4. Let f = 35 - 35. Suppose -4*z - 5*z - 72 = f. Give g(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 4*v + 195 = 0. Let o be 1\/3 + v\/(-15). Let b = o + 27. What are the prime factors of b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 6*m + 26 = 2*v, 0 = -4*m + 16 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26848 and 448865?\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4449632783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3 + 20*p**2 - 232*p + 352.\nAnswer: 4*(p - 4)*(p - 2)*(p + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4134644 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 4:08 PM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -7*t + 12. Suppose t*v = v + 60. Let c = 13 - -119. What is the highest common factor of v and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 1:40 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 4*w**2 - 4*w + 4. Suppose -2*m + 5*h + 6 + 38 = 0, 3*m - 80 = 4*h. Let g = m - 21. What is the remainder when q(-4) is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10883104*u**5 - 377752*u wrt u.\nAnswer: 217662080*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 7*a - 10*a - r, 3*a - 4*r + 16 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z**3\/3 + 14153*z**2 + 84914*z\/3 = 0. Calculate z.\nAnswer: -42457, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 4 (c) -37191 (d) -414\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69, -133, -197, -261, -325, -389?\nAnswer: -453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16.2255 - 0.3455. What is b rounded to zero decimal places?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/7, 3, -3, 9.\nAnswer: -3, 6\/7, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 1450*j. Let s(z) = -21*z. Determine -4*l(f) - 275*s(f).\nAnswer: -25*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.4 in -5, -1\/18, -4, 2\/9, -5\/6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -1. Let y = x + -6. Let d be -3*4\/(-16)*1. Which is the third smallest value? (a) d (b) y (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/22*(-4180)\/(-1650) and -121\/50.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 7:34 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 2*m - 40, -4*o + 13*m = 9*m + 32. Which is the nearest to -1\/2? (a) o (b) -4 (c) -1\/4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mf when two letters picked without replacement from rmkmmkmmfmr.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/9? (a) 2\/3 (b) -8\/63 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-32)\/((-2112)\/(-22)))\/(1\/(-58101))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 9:24 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 613416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1183 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + k**4 + 3*k)*(358 + 2844*k - 358 + 44*k + 7644*k).\nAnswer: 10532*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75330883?\nAnswer: 43, 83, 21107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4305 (base 8) to base 15\nAnswer: -9ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 286 = -s, -4*s - 95 = 2*t - 697. What is the second derivative of t*v - 3309*v**3 + 144*v**4 + 3309*v**3 wrt v?\nAnswer: 1728*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*p - 241 - 518 = 0. Solve -5*n - p = -4*z, 0 = 3*z - 2*n - 3 - 7 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zqhvbhp. What is prob of picking 1 h, 1 v, and 1 p?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 + -24. What are the prime factors of ((-2)\/(-2) + -4)\/g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**5*(a\/(a*(a\/a**1)\/a)*a*a)\/a*a)\/(a\/(a*a**(-1\/3)))**(-46)*(a**(-1))**(-42)\/((a\/(a**(4\/3)\/a))\/(((a\/a**(-3))\/a)\/a)) assuming a is positive.\nAnswer: a**(203\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 6*z**2 + 5*z - 4. Give q(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 10:12 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + 9*v**2 + 9*v + 5. Let o be p(11). Let n be 3\/(-2) - o\/(-4). Let u be -1 - (n\/(-15) - 3). Put u, 0.3, 0 in descending order.\nAnswer: 0.3, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2\/15, 3, -2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -4*j**2 - 2*j**2 + 5*j**2 - j + 2*j**3. Let s be t(-1). Let h be 2\/3*(7 - 4). Sort 0, s, h.\nAnswer: s, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/509040 and -43\/18400.\nAnswer: 117079200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 891 and 429?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9246152ms in minutes?\nAnswer: 0.00003207692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8*(0\/(3 - 4) - -1). Suppose 2*c - 16 - g = 0. Let f(i) = -i**3 - 5*i**2 + 6. What is the least common multiple of f(-5) and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.21 + -1.79. What is the nearest to -1 in 3\/5, -4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81, 123, 177, 249, 345, 471, 633, 837?\nAnswer: 1089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24191545 is divided by 49?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -11038*i + 45. Let h be d(16). Let v = 65963 + h. Round v to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b - 2*b - 11340*h + 11342*h = -42, -300 = 5*b - 47*h for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*z = -150*z + 12, 9*g + 4*z = 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5631, 11225, 16819?\n\"Answer: 5594*d + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1290 by -258.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 24?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 9:37 AM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/15321998 and -74\/1581.\nAnswer: 45965994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 2*x + x**2)*(1 + 2*x - 1)*(-40 + 10 - 602).\nAnswer: -1264*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*x**2 + 42 + 11*x**2 + 6*x**4 - x**3 - 21*x**2 - 54 as r*x**4 + g*x + f*x**2 + p + a*x**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 88, 171, 254, 337, 420, 503?\n\"Answer: 83*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeesseeeeeeeseese. What is prob of picking 1 s and 1 e?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4914 is divided by 164?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((8 - 0)*-1)\/(-1 + 0).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8717 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of 91\/6*n**4 + 0*n**6 - 173*n + 11\/2*n**7 + 0*n**3 + 0*n**2 + 0 + 0*n**5. What is the third derivative of i(q) wrt q?\nAnswer: 13860*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*-3763\nAnswer: 11289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3*p + 3 = 0, -2*p + 5 = u - p. Let d be 1*(-1)\/(u\/(-2)). Let q = 75 + -72. Which is greater: d or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2512 and 628.\nAnswer: 2512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of -o**3\/3 - 6*o**2 - 8*o - 8. Let b be f(-11). Suppose 4*q - b = 73. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {s: 4, i: 11, a: 3}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 356235 and 255.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 535 times -204183\nAnswer: -109237905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.172 - -5.\nAnswer: 1.828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d**3 + 3*d. Suppose -3*g - 4*m = 25, -6*g + 2*g + 2*m - 4 = 0. Is h(g) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0*b)**(-2)*(b\/(b\/((b*b**(-2))\/b)))**(21\/8) assuming b is positive.\nAnswer: b**(-29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-50)*-4)\/(35\/((-5775)\/132))\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 6*l = -3*l + 1, l = 5*n + 6. Suppose 13*k - 15 = 10*k. Sort k, 30, n.\nAnswer: n, k, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*l = -137*l + 5*q + 17, -3*l = q + 17 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-21)*(-1134)\/945?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -337*q**2 + 38*q + 4 wrt q.\nAnswer: -674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and -105149.\nAnswer: -105148.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -6. Find the common denominator of 2\/8 + (-39)\/60*-4 and 2 + h - (-55)\/(-20).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pwp when three letters picked without replacement from {w: 3, p: 5}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41335, -82854, -124373, -165892?\nAnswer: -207411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*j - 45*j + 19*j - 7*j**3 - 3*j**2 in the form a*j**3 + o + b*j**2 + i*j and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven sevenths of a week in hours?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 5*w**2 + 5*w. Let g be d(-6). Let b be (-46)\/g + (-1)\/3. Is -9 less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, p: 2, z: 8}. Give prob of picking 1 z and 1 u.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 74 + -70. Let u(q) be the first derivative of 5\/3*q**3 - 1\/2*q**2 - 1\/4*q**v - 7*q - 2. Give u(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/10)*i\/(i**(-6\/5)*i))\/((i\/(i**(5\/4)\/i))\/i*i*i**(-15)*i))**(1\/51) assuming i is positive.\nAnswer: i**(287\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1084?\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-2*sqrt(405) + 2)*2)**2 + -1.\nAnswer: -288*sqrt(5) + 6496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*h + 41*h = 175 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 115 + -917. Let u = -427 - t. Let m = u + -375.000203. Round m to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**5\/15 + 4*n**4\/15 - 4*n**2\/15 + 2*n\/15.\nAnswer: -2*n*(n - 1)**3*(n + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*w + 98*w = 3*d + 50021, 4*w = -5*d + 100031. What is the ten thousands digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 464054004?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -360.9 - -360.940015. Let a = 0.06 - 0.1. Let i = a + r. Round i to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 0 = -5*l. Let v = -8 + l. Which is smaller: -0.1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 + 30. Suppose 5*g - 14 = -j. Sort 0, g, 6.\nAnswer: 0, g, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1506 plus 5404263?\nAnswer: 5405769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/5))**(4\/15)\/((n**(-2\/9)\/n)\/n*n**(-9)*n) assuming n is positive.\nAnswer: n**(2324\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 - 22*h + 6. What is the remainder when g(-17) is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 + -0.21. Let n = o + 5.11. Which is the second smallest value? (a) n (b) -2 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0 - 4\/10 - (-37568)\/320.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of 0*o + 0*o**3 + 1\/4*o**4 - 1\/2*o**2 + 2. Suppose j + j = 0. Give c(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 215c134 (base 13) to base 5.\nAnswer: 10102204132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7 + (-3)\/3 - 2. Suppose -2 - 3 = -2*f + v, -16 = -p*f + 4*v. Let i = 19 - 19. Solve -u = f - i for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009835893 rounded to six dps?\nAnswer: 0.000984","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.80203cm in micrometers?\nAnswer: 318020.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 - 31. Solve -4*c + 4 = o, m = 4*o - 2*o - 5*c - 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - 15*n - 53. Let c be s(-6). Let t be (143\/39)\/(c\/3). Sort 2, 3, t in decreasing order.\nAnswer: t, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -19 + -3 + 19?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(-1*sqrt(136) + sqrt(136)) + -3*-1*sqrt(136))\/(-6*6*sqrt(392)*2))**2.\nAnswer: 17\/28224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -426*d*y**2 - 26*d*y - 2*y**5 + 20 wrt y?\nAnswer: -852*d - 40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**12\/u)\/(u*u**(-24)*u*u) assuming u is positive.\nAnswer: u**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dz when two letters picked without replacement from {c: 2, a: 1, p: 2, z: 2, d: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/3))**6*(b\/(b\/(b**(-1\/5)\/b*b*b)))**(2\/5) assuming b is positive.\nAnswer: b**(-92\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 5*b - 38 = -15, 2*b - 6 = 0. Let z = n + -6. Is 5 a factor of 1\/2 - 25\/z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1355599 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**4 + 2536*r**3 + 7594*r**2 + 5060*r.\nAnswer: 2*r*(r + 1)*(r + 2)*(r + 1265)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68*10\/6800*2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25842367699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2 + 95913*m - 95916.\nAnswer: 3*(m - 1)*(m + 31972)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-486)\/(-20))\/(62*297\/(-30690)).\nAnswer: -81\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-3))**10 assuming a is positive.\nAnswer: a**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 106649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-2 + -1) - (2 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 25920*p**3 - 24*p**2 + 33*p + 19. Is u(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -555*h**2 + 27 - 448 - 19 wrt h.\nAnswer: -1110*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = 2*h + 30. Let x = 6 + -2. Suppose 0 = -4*m + 8, -y + 5*m + 190 = x*y. Solve -5*i + 4*c = -c + 10, -h*c = 5*i + y for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9492450 and 99.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of 12*v**2 + 0*v - 1\/360*v**5 + 1\/360*v**6 + 0*v**4 + 0*v**3 + 1\/420*v**7 + 0. Suppose x(u) = 0. What is u?\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3332 - -13?\nAnswer: -3314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 35*f**2 + 67*f - 24. Let b be p(33). Suppose -b*q - 5*k = -10*q + 715, q + k = 721. Is 60 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*z + 559212 - 14*z - 1118428 + 559215 + 4*z.\nAnswer: -46*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of q**3\/6 + 4*q**2 + q. Let w be o(-6). What is the derivative of -1 + w*n + 2 - 2 wrt n?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 1:33 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 104*z**2 + 3*z + 2. Let y be q(-1). Let l = y + 0. Is 13 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*m - 7*m - 18. Let p be 4*(m - 68\/40)*-15. Let h be (-63)\/(-13) + (-12)\/p. Solve -h*j = -0*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2657717 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.19 + -0.41. Let x = p - -0.51. What is the second biggest value in 2\/3, x, -0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 128*y + 26. Let q(i) = -86*i - 17. Give 7*f(l) + 10*q(l).\nAnswer: 36*l + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 2*l**3\/7 - 438*l**2\/7 - 10872*l\/7 - 62920\/7 = 0.\nAnswer: -13, -10, 242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 2*a**3 - 16*a**2 - a**3 - 5 as p*a + z + j*a**2 + v*a**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 7335100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*j + 23*j - 14. Suppose -j = -36*i + 29*i. Suppose -31 = i*n - 35. Solve 0 = -n*u - u - 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 2*h + 3*x, 5*x = -3*h - 2*h + 80. Let y = h + 51. What are the prime factors of y?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {k: 5, r: 3, y: 1, c: 2, v: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -2*c**2 + 5*c + 2. Let v(m) = 12*m - 16. What is -16*k(j) - 5*v(j)?\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q**4\/6 - 19*q**3\/2 - 245*q**2\/6 + 19*q\/2 + 122\/3 = 0. Calculate q.\nAnswer: -4, -1, 1, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/45*(-260)\/351*-3\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/232 and -70\/3.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -272 - -383. Let w = x - -118. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 13*k**2 + 14*k + 4. Let f be h(14). Solve 0 = -0*j + j + f for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2196 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*i - 1 - 2 + 4)*(9*i**3 + 0*i**3 + 0*i**3) to the form c*i**4 + r*i + s*i**2 + q + b*i**3 and give b.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3639129 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c + 75 - 81 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of -d**5\/4 + d**4\/6 - d**2\/2 - 3*d. Let k be (-2)\/(0 - (1 - -1)). What is s(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 42, 82, 122?\n\"Answer: 40*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 3*q**2 - q. Let k be -5 + -1 - (-2 - 1). Calculate b(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*o + 12 = -47*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30.51 - -32.51. What is the third smallest value in j, -3, -0.1, -44\/39?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8482552.\nAnswer: 2, 13, 81563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of 8\/5*l**5 + 0*l**3 - 5*l - 16\/3*l**4 - 2\/15*l**6 + 0*l**2 + 0. Solve t(v) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -285 * 4281\nAnswer: -1220085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -63*c + 1. Let w(g) = -19*g - 21273. Determine p(w(f)).\nAnswer: 1197*f + 1340200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (1 - -3) + (-67 - -16530)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-485.\nAnswer: 2425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**3 + 63*t**3 - 10*t**3 - 42*t**3.\nAnswer: 9*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.49 - -0.29. Which is the nearest to 0.1? (a) w (b) 1\/2 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -23889439, -23889426, -23889413?\n\"Answer: 13*s - 23889452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -688 = 8*q - 632 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 997682666?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17.21204l to millilitres.\nAnswer: 17212.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = 18*d - 8856. Which is smaller: d or 366?\nAnswer: 366","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -17*i**2 + 7*i - 3. Let c(n) = -17*n**2 + 6*n - 2. Give -6*c(q) + 5*z(q).\nAnswer: 17*q**2 - q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/259 or 1?\nAnswer: 6\/259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 10. Calculate the common denominator of 1*((-4)\/(-16) + (-35)\/68) and (-207)\/66 + k\/1.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -699 + 701.2. What is the nearest to w in 4, -2, -0.4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 1, 56, 5.\nAnswer: -4, 1, 3, 5, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.3 (b) 1 (c) -0.12221 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 434 a factor of 7865816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2108906732 to the nearest integer?\nAnswer: 1282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) 17 (c) -0.2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -124528 divided by -6\nAnswer: 62264\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, -2\/3, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, m: 3, h: 3, b: 5}. What is prob of picking 2 b, 1 m, and 1 w?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (15\/12)\/((-1)\/(-2) - (-5)\/(-20)). Sort -3, n, -17, -6, -1 in decreasing order.\nAnswer: n, -1, -3, -6, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrzoquzdo. What is prob of sequence dzq?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 6) + 0 + 5 - 4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3*l**3 + 44*l**2 + 215*l - 1691. Calculate x(17).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 2:28 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2470 + 2478. Solve -5*o = -3*o + m for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 31444 - 500?\nAnswer: 30544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 630015*b**3 - 866*b**2. Let n(z) = -2180*z**3 + 3*z**2. Give -3*a(w) - 866*n(w).\nAnswer: -2165*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -3*g - 8320009, 2856763 + 1303246 = -h - 3*g. What is h rounded to the nearest 100000?\nAnswer: -4200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6409 and 1292153.\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 11 (b) -6 (c) -5\/6 (d) 2 (e) 181 (f) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -686.00001355 + 686. What is p rounded to six dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 427554 = -5*a + 427574 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2519.2 to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5001, 17710, 38903, 68586, 106765, 153446, 208635?\n\"Answer: h**3 + 4236*h**2 - 6*h + 770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 220 = 5*t - 0*t. Suppose 0 = 4*f - q - 21, -3 - 2 = 5*f + 5*q. What is the highest common divisor of t and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yykycwkkcwcnnckckk. Give prob of picking 1 c, 1 n, and 2 w.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 699*d - 2852*d + 692*d + 722*d + 630*d.\nAnswer: -109*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 5*x + 15, -3*l + 0*l - 3*x - 9 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.083552481 to 3 decimal places.\nAnswer: -0.084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -22*s**2. Let y(o) = -4*o**2. Give r(y(k)).\nAnswer: -352*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16\/64*(-12)\/(-1). Sort 1, d, 5.\nAnswer: 1, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -5*t**9\/756 - t**5\/8 + 17*t**3\/3 - 11. Let j(q) be the third derivative of u(q). Find the second derivative of j(y) wrt y.\nAnswer: -400*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - 22) + (0 - -6) - 7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**2))**8\/(k**(-9)\/(k\/k**(-2\/5)))*((k*(k*k**(-5))\/k)\/k*k\/k**(2\/5))\/(k*k**(-2)\/k*k*k*k)**46 assuming k is positive.\nAnswer: k**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -378, -816, -1268, -1752, -2286, -2888?\nAnswer: -3576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -0.3 (c) 132 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/6 + 2119445*p**2\/2 - 3369036390741*p\/2 + 10107102813889\/6.\nAnswer: -(p - 3179167)**2*(p - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j + 4*j - 16. Suppose -4*d - 5 = -3*t - 3, -6 = j*d - 5*t. Solve 5*x - 2*y - d = -10, -3*x + 5*y = -6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 51, -5, 1, 4 in decreasing order.\nAnswer: 51, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 27 = 2*n - 0*n, -4*n = a - 21. Suppose 5*g - n = 4. Suppose -15 = -3*l + q - 4*q, 0 = -g*q - 4. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3059368 to the nearest integer?\nAnswer: 1749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1554 - 4612 + 1393 - q + 1379.\nAnswer: -q - 286","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/9 - (-22)\/99)*-6. Suppose 16 = a*g, 5*g - 10 = -0*q + 2*q. Let y be -4 + (-25)\/q + 5. Sort y, 0, -9.\nAnswer: -9, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.01 (b) -0.1 (c) 0.1 (d) -2.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 40 divided by 8\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 55 + -79. Let t = -7 - q. What are the prime factors of t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 2*j + 211506, 3*f = -3*j - 56037 + 690546. Round f to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -g - 7. Suppose l = -g*x + 36, 4*x + 108 = 3*l + 5*x. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 71 + -5?\nAnswer: 6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 715 and 438425.\nAnswer: 4822675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -10\/3*f**4 + 0*f**3 - 39*f - 1\/15*f**6 - 8\/5*f**5 + 1\/21*f**7 + 0*f**2 + 0. Find a such that h(a) = 0.\nAnswer: -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 792 and 4222152?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 1 - 11 = 0. Suppose 2*h - 5*h = -o. Are h and -3\/2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 14. Solve 1 + w = -2*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 322.11606 - 0.01606. Let n = f + -322. What is the second smallest value in -1\/5, n, 0.06, 1\/8?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + 218. Suppose 28 = 2*t - 42*g + 45*g, 5*t + 3*g - 52 = 0. What is the lowest common multiple of p(0) and t?\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 not equal to -1.188?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000128 to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*i + 108 = -16*i. Let n = i - 30. Solve -5*x + n = -3*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -3*o + 8, 19*c + 31 = 455*o - 452*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**3 - 27*s**2 + 12*s + 15. What is w(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32\/11 + 193\/55. Let b be 22\/(-6) + (-1)\/3. What is the nearest to 0.1 in b, -0.2, p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t - 2. Give c(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q*q**1)*q*(q\/(q**2*q))\/q*(q*(((q**14*q*q*q)\/q)\/q)\/q)\/q*(q*q**5*q)\/q)**(28\/5) assuming q is positive.\nAnswer: q**(504\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.7955059ml?\nAnswer: 0.0007955059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1))**30*((b*(b*b**(-2\/7))\/b)\/b)\/((b\/(b**(-3\/4)*b))\/b) assuming b is positive.\nAnswer: b**(-841\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1137352737.\nAnswer: 3, 23, 16483373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*(-425)\/100 + 17. Let k(g) = g**2 + 3*g + 69. What is k(c)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gfn when three letters picked without replacement from nfgnqkfnknqnm.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 98401361, 98401362, 98401363, 98401364?\nAnswer: 98401365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m - 2. Let d be y(2). Suppose 2*n - 54 = -d*n. What is the remainder when n is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -227 - 234 - 235 + 695. Let m(l) = -l + 5. What is 11*i(c) + 2*m(c)?\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(152)*-1 + sqrt(152)) - ((sqrt(152) - (sqrt(152) + -1*sqrt(152)))*-6 - sqrt(152)))\/(3*((sqrt(88)*-2)\/sqrt(11) + sqrt(8))))**2.\nAnswer: 931\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1406, -5778, -17540, -40388, -78018, -134126?\nAnswer: -212408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.050828l in millilitres?\nAnswer: 8050.828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 342032053 to the nearest integer?\nAnswer: 18494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/689388 and -103\/84.\nAnswer: 689388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**3 - 20*p**2 - 11*p + 9. Calculate n(-10).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + o**2 - 5*o - 35. Let i be z(-5). Suppose y - i = 51. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrkkrisr. What is prob of sequence kks?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 - 380*p + 375.\nAnswer: 5*(p - 75)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + s + 22. Let q = -6 + 6. Let j be z(q). Suppose -j = -n - n. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a millennium in months?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - d - 3*v - 24 = 0, 7 = -d - 2*v. Suppose -h = d - 7. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llsbtae. What is prob of sequence tbls?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 70*b**3 + 1963*b**4 - 1251*b**2 - 70*b**3 - 466 + 1251*b**2 wrt b.\nAnswer: 7852*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -1. Let n(f) = -3*f - 9. Let z(d) = -12*l(d) + n(d). Suppose q + s = 1, -q + 2*s - 1 - 4 = 0. Let k be 4 - (-3 - -1)\/q. Calculate z(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 541 - 73 = -52*q for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 92 = 4*p, -4*o - 304*p - 70 = -299*p for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2119 + 4?\nAnswer: 2123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 2:48 AM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1300 - -3131012?\nAnswer: 3132312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -225 (base 13) to base 4\nAnswer: -11301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11123653 (base 7) to base 15.\nAnswer: -140a27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 10260*h**2 - 117*h - 235. Is p(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-13)\/182*238\/(-85). Suppose 0 - u*g**5 - 1\/5*g**2 - 3\/5*g**3 + 0*g - 3\/5*g**4 = 0. What is g?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v - 1273 = -1329 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7050627 + 7050921.9863. Let n = -295 + f. Round n to three decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0127741551 to 4 dps.\nAnswer: 0.0128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-934)\/176 + (-4)\/(-22).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -1362*p**3 - p**2 - 2*p - 9. Let u be s(-3). Suppose -13*a = -7*a - u. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 2*r - 6)*(-6*r + 3*r + r - 2*r**2) in the form q*r + l*r**3 + k + d*r**2 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 842 (b) -1\/3 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -64080.27 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93070424.\nAnswer: 2, 239, 48677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1655133710?\nAnswer: 2, 5, 31, 83, 64327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 91 - 87. Suppose -3*r = 4*g + 124, -3*g + 6*r - 76 = w*r. Let a be 14\/49 + (-48)\/g. Solve 0 = -2*q + 4 + a for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4530 - 4616. Let x = -66596 - -66681.998. Let r = x + a. Round r to 4 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 130 - 127. Put c, -5, -3 in descending order.\nAnswer: c, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-600)*-6)\/(3*10\/(-75))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 - -15. Let b(s) = s**3 + 5*s**2 - 6*s. Let n be b(o). Let m = n - -28. Calculate the remainder when m is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 5*v + 3. Let c(z) = z. Let l(f) = 4*c(f) - n(f). What is the units digit of l(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 937301.7 millimeters in nanometers?\nAnswer: 937301700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26363?\nAnswer: 41, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 - 4*z**2 + 5*z**2)*(3 + 6 - 4).\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4*(2 + sqrt(704)) - ((sqrt(704) - (sqrt(704) + (-4 + 1*sqrt(704))**2)) + sqrt(704) + sqrt(704)))*6.\nAnswer: -13104 + 864*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1676400837?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -64\/55 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + -15. Let u = -11 - b. Solve 10 = -3*i + 8*i - m, -4*i + u = 3*m for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -270, -485, -576, -489, -170, 435?\n\"Answer: 9*l**3 + 8*l**2 - 302*l + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + r - 6. Calculate the remainder when 66 is divided by p(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.5 (b) -4.4 (c) -7 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -372.697331 - -11.6?\nAnswer: -361.097331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/3 + 2801000*p\/3 + 2800994.\nAnswer: 2*(p + 3)*(p + 1400497)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + 6*c**2 - 7*c + 2. Let u be b(-7). Suppose 0 = k + 5, -u*h = 2*h - 3*k - 87. What is the smallest common multiple of 6 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205 is divided by 35.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 278843?\nAnswer: 278843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*p = -31*p + 16 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9550.548 grams to kilograms.\nAnswer: 9.550548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 13*n + 116. Let v be x(-5). Let m = v - 35. Calculate the highest common factor of m and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*c - 33 = 21*c - 2*j, -2*c = 2*j - 60. Calculate the least common multiple of c and 105.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -431 = -h + 6*z, -2*z - 820 - 82 = -2*h. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -4*o + 9*o - 105, 2*o + 78 = 4*y. What is the smallest common multiple of 8 and y?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*1*(-10)\/(-30). What is the closest to 2\/5 in -0.2, s, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 12) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b + 1. Suppose -30*u = -27*u + 15. Let k(p) = -p. Give u*k(w) - z(w).\nAnswer: 4*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-160)\/(-65))\/((-58)\/377)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 377.5239 nanometers in micrometers?\nAnswer: 0.3775239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1623 (base 7) in base 14?\nAnswer: 34a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9426197.\nAnswer: 11, 856927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, w: 1, o: 7}. What is prob of picking 1 o, 1 v, and 1 w?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + (-12)\/9)*-6. Suppose r - 3 + 0 = t, r + w*t = 18. Let f be 85 - ((-13)\/4 + 2\/8). Calculate the greatest common divisor of f and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 1054*o**4 + 3*o**2 - 6*o - 15. Let n(q) = 3160*q**4 + 8*q**2 - 17*q - 47. Let c(l) = 3*n(l) - 8*z(l). Find the second derivative of c(m) wrt m.\nAnswer: 12576*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in 1, 5, -3\/2, 1378\/683?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1544 is divided by 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174 + 30 = -4*x - 4*g, 5*x + 4*g = -252. Let k = x + 54. What is the units digit of 62\/2*k*1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1699558?\nAnswer: 2, 7, 17, 37, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**2 - 116 + 116 to the form y*r**2 + o + f*r and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.018 + -0.018. What is the smallest value in b, -5, -21, 0?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*u + 1863 = 215*u for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2144221900?\nAnswer: 2, 5, 17, 977, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 45156 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284*c - 335*c - 1557*c + 24888 = -102*c for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3479 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 7:20 PM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 33\/(2\/(-2))*11200\/(-16800)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a century in years?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11866?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 8*b**2 + 4*b - 4. Let m(v) be the second derivative of -3*v**4\/4 - 5*v**3\/6 + 5*v**2\/2 + 11*v. Give 4*m(o) + 5*u(o).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 6*c. Let y(q) = -15*q. Let o(j) = 5*y(j) + 12*z(j). Let b(r) be the first derivative of 0*r + 0*r**2 + 3 - 2\/3*r**3. Calculate b(o(h)).\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3 = 6. Let l be n*8\/(-4)*-1. Is l greater than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.1 - 2.3. Which is the closest to -2? (a) 1 (b) 0.4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-168)\/(-105))\/(((-44)\/40)\/11)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 25685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and 0.3754.\nAnswer: -0.0246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -17, -0.2, -4, 0.3 in ascending order.\nAnswer: -17, -4, -0.2, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 - -21. Let q(y) = 1. Let u(m) = -m - 1. What is k*q(x) - u(x)?\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-680)\/((-6460)\/95)*(-8)\/110.\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 11*1\/(-12) - -1. Suppose -36*g + 30*g = 6. Does g = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - x - 6480 + 6473 = 0, 5*x = -5 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**3 + 0*o**3 + 4*o**3)*(-2*o**2 + 3*o**2 + o**2) - 54*o**5 + 112*o**5 - 71*o**5 - 205*o**5.\nAnswer: -214*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 27451799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 748 = -150*o - j + 2*j, 3*j + 2 = 2*o - 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-59)\/3 - 3349\/(-197)\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17864.5 rounded to the nearest 1000?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4152866*b**4 - 20219*b**2 + 2*b?\nAnswer: -99668784*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44266 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o - 4*o + 0*o + (4*o - 4*o + 2*o)*(1 + 5 - 1)*(-4 - 1 + 1)*(-11 - 9 - 1) to the form f + z*o and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a meter in millimeters?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1747426 (base 9) in base 3?\nAnswer: 1211121110220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14278326.\nAnswer: 2, 3, 2379721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**2. Let u(c) = 6*c + 74*c + 1 - 1 - 6*c. Calculate u(n(v)).\nAnswer: -148*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of 0 + 5\/3*t**7 + 0*t**3 + 0*t**5 - 1\/12*t**4 + 194*t + 67\/2*t**2 + 0*t**6. Find the third derivative of h(f) wrt f.\nAnswer: 4200*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of o**7\/70 + 3*o**3\/2 + 3*o**2\/2 + 10. Let t(s) be the second derivative of y(s). Find the first derivative of t(u) wrt u.\nAnswer: 12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -3. Let u = s + 2. Solve -5*i + 2*i - 19 = -5*h, u = 5*i + 3*h + 9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-630)\/(-245)*(-1)\/(3\/(-14)). Solve 4*i + k = -4*h, 4*i + 3 = 3*i + 5*h for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 485*a**2 + 22*a + 146. Let u be t(-5). Suppose u = 3*o - 4*r, -3*o + 9650 = 2*r - 2517. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(156)\/sqrt(3))\/sqrt(4))**2 - (sqrt(117) + sqrt(117)*3)\/sqrt(9))*5 + -1.\nAnswer: -20*sqrt(13) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-995)\/(-5) + (-1 - 2). Calculate the highest common factor of 28 and r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -312 - -4?\nAnswer: -30e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 142*p + 201. Let a(g) = 95*g + 134. Let q be 0 - 5 - -1 - 2\/2. Let x(t) = q*v(t) + 7*a(t). Differentiate x(r) wrt r.\nAnswer: -45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of n**5\/60 + n**4\/8 - 5*n**3\/6 - n**2\/2 + 2*n. Let t(k) be the first derivative of d(k). What is t(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + 23. Suppose 0*d = -3*d + 42. Let b = h - d. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*v + 358 = -148. Calculate the remainder when v*(24\/8 + 1\/(-2)) is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -15 and 4111?\nAnswer: 4126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4720.\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2318109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/53 in 0, 3, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 5*a - 13 = 21, 5*a - 15 = -45 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 8 + -26 + 5 + 58.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1532 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*y - 18*y + 3330 = 0 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -281466, -281459, -281452?\nAnswer: -281445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (113\/(1921\/102))\/((-261)\/6*1)\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -11176, -14 in decreasing order.\nAnswer: 3, -14, -11176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -378*m + 386*m = 80 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -697, -8541, -30683, -74275, -146469, -254417?\nAnswer: -405271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 35*x**2 + 23*x + 54. Let f be c(36). Let a = 434 + f. What is the highest common factor of a and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 564, 746, 756, 594, 260?\nAnswer: -246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -60 - 291742?\nAnswer: -2917a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90)\/(-240) + 6\/(-8)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 142800 and 1344?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 2 + (-4 + 4 - 2)*(1 + 2 - 1) + 0 - 2 + 3 + 11 - 3 + 0 + (-1 + 2 - 2)*(-3 - 11 + 6))*(2*t + t - t) to the form i + s*t and give s.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1010044 is divided by 144.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -0.03, 48 in decreasing order.\nAnswer: 48, 8, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3930376?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d\/d**(-2\/7)*d)*d*d**(1\/3)\/d)\/(d*d*(d*d**(-5)*d)\/d*d**(-2\/17)*d) assuming d is positive.\nAnswer: d**(-298\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n + 4*l - 13, 0 = 11*l + 10 - 0 + 12 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*((-1)\/4 - (-24)\/32). Let z = 3\/5 - 4\/5. Which is smaller: z or w?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 6*g**2 - 11*g + 9. Let v(k) = -k + 8. Let t(b) = b - 8. Let f(l) = -3*t(l) - 4*v(l). Let z be f(16). Is 14 a factor of h(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20) + 0 - ((-1 + sqrt(5))*3)**2) + 4 + -5)*-6.\nAnswer: -120*sqrt(5) + 330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*s**4 - 3*s**4 - 3*s**4)*(-3*s - s + 2*s) - 3*s**5 + 0*s + 0*s + 0 + 0 - s**5 + (2 - 2 + 2*s**2)*(-3*s**3 + 3*s**3 + s**3) - 4*s**5 + 0*s**5 + 2*s**5.\nAnswer: 24*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 5 = -59. Suppose 0 = m*x - 26*x - 495. Suppose 4*v - 15*v = -x. Is v a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -k**5\/10 + 5*k**4\/18 + 4*k**3\/9 - 4*k**2\/3 - k. Suppose l(a) = 0. What is a?\nAnswer: -1, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.03 - -0.63. Let m = -0.9 + x. Let j = 0.2541 + 0.1459. Put m, 3\/7, j in decreasing order.\nAnswer: 3\/7, j, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, n: 4, a: 1}. What is prob of sequence zn?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*(0 + (-8)\/(-6)). Let o = 4 + m. Suppose o*q - 60 = -3*q. Solve 2*k = 7*k + q for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 329716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of 5*z**3\/6 + 13*z. Let y(f) = 20*f - 20*f + f**2. Determine y(l(m)).\nAnswer: 25*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2\/5 - 716289*p + 42979500.\nAnswer: -3*(p - 60)*(p + 1193875)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - b - 3*b)*(-36*b + 22*b + 26*b).\nAnswer: -48*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**2 + h**3 + 889 + h**4 + 3*h - 894 - 4*h to the form u*h + f*h**2 + w + k*h**4 + p*h**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.4 - -3.4. Let l = 2 + 1. Sort 3\/8, l, z in ascending order.\nAnswer: z, 3\/8, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -244*f**2 + 5. Let s(y) = 8*y + 7. Give b(s(v)).\nAnswer: -15616*v**2 - 27328*v - 11951","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 6*w = -15. Suppose -4*t + 25 = w*p, -t + 4*p - 14 = -3*t. Suppose t*n - 33 = 4*n. Is 11 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 12*q - 25. Let u(n) = -7*n + 15. Let j(x) = -6*g(x) - 10*u(x). Let b(a) = 523*a. What is j(b(o))?\nAnswer: -1046*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -61187*y - 78570 wrt y.\nAnswer: -61187","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -191*c + 39. Let w(g) = 96*g - 16. What is 3*s(n) + 7*w(n)?\nAnswer: 99*n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1115300 to the nearest 10000.\nAnswer: 1120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1901903.999 and -0.4.\nAnswer: 1901903.599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -29*i**8\/168 + 59*i**5\/30 + 62*i**2 + 2*i. What is the third derivative of q(c) wrt c?\nAnswer: -3480*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of 54*t + 1\/6*t**3 + 0*t**2 + 0. Let n(o) = -2*o + 4*o + 13*o. Determine n(q(v)).\nAnswer: 15*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -190, -1560, -5274, -12502, -24414, -42180?\nAnswer: -66970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12718.8 + 13861. What is o rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16184 and 2546224?\nAnswer: 5151011152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y**2. Let r(s) be the second derivative of s**7\/105 + 11*s**4 - s - 37. Let d(o) be the third derivative of r(o). Determine d(h(m)).\nAnswer: 216*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*k + 22 = -9*k + 3*q, 0 = -4*k + q + 21 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 939517?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 14438, -0.4, -5, -17\/4, 2, -2, -1\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1564\/4*(6598\/1)\/1. Suppose 2*h - 4537984 = -4*m, -310814 = h - m - o. Round h to the nearest one hundred thousand.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 36317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -15643 (base 7) to base 4\nAnswer: -1011121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 228, -5, 5, 4 in decreasing order.\nAnswer: 228, 5, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2\/24*(-96)\/(-168))\/(23\/6) and -41\/322.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-33\/2)\/h*h*h**(-6)*h*h*h\/h**17*h*h**41 assuming h is positive.\nAnswer: h**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - q = -6 - 22, -q = -4. Let u be (0 + g\/9)*31707\/(-26). Suppose 129 = 13*t - u. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*h - 18 = 119*h. Let w be h + (-3 - -17) - -3. Solve -27 = -0*q - q + 5*y, -y - w = -3*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, g: 7}. Give prob of sequence gggg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 31*q - 36*q = -4278, 3*p - 5*q = 3191. Calculate the highest common factor of 11 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 17*g**2 - g - 28. Is j(15) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -84*b**3*x**2 + 38*b**3 - 2*b*x wrt x.\nAnswer: -168*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-20 - -37 - 16) + -37.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 2*g. Let z be (-1 - -2 - -2) + g. Solve -q + 3*y - 6 + 1 = 0, -z*q + 21 = 3*y for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 272 a factor of 1576240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 13fb - 1f?\nAnswer: 13dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) -0.8863 (c) 0 (d) -3\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 6:15 PM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5329161 weeks in minutes?\nAnswer: 5371.794288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 365220.\nAnswer: 2, 3, 5, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 10. Solve -j = 2*y + 3*l, -4*l + 0*l = 3*y + 15 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*v**3 - 11 - 11*v**3 - 4*v + 4*v - v**2 as j*v**3 + z*v**2 + w + u*v and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/7 + 103730*h**2\/7 + 1394327286*h\/7 + 1267503955542\/7.\nAnswer: 2*(h + 979)*(h + 25443)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 13686646?\nAnswer: 41059938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence av when two letters picked without replacement from vsvanvq?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -10019, -40081, -90183, -160325?\n\"Answer: -10020*m**2 - 2*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - 2)*(14 - 26 + 10 + 13*y) + 12*y + y + 7*y.\nAnswer: -32*y + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5 = i, -2*t + 2159*i + 8 = 2160*i. Sort t, 5, 3259.\nAnswer: t, 5, 3259","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 15 + 2*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 16*b**4 - 2088*b**3 + 68641*b**2 - 33930*b + 4225 = 0.\nAnswer: 1\/4, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7\/229 or 0?\nAnswer: 7\/229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, q: 8, k: 2}. Give prob of picking 2 v.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57585*-0.076.\nAnswer: -4376.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.05 (b) -2\/3 (c) 2 (d) 5 (e) 670\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 876?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 655317?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_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: Let d(b) = -43*b**2 - 1188*b + 4. Determine d(-28).\nAnswer: -444","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 7*i**2 + 8*i + 5. Let d be o(8). Suppose -2*b - d*a - 195 = 0, -3*a - 15 = -6*a. What is the least common multiple of 1\/(-3) + b\/(-6) and 22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 14*g**2 + 23*g - 9. Suppose 5*o - 211 + 271 = 3*f, 24 = -2*o - 4*f. What is k(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2069229 is divided by 81?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2.3 (b) 2 (c) 3 (d) -0.01086 (e) 59 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - 23*a - 41. Let q be w(-18). Suppose q*k - 50*k + 1012 = 0. Suppose 2*o = 4*x - k, -4*x + 903 = -4*o - 109. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, w: 3, f: 7, z: 3, s: 2, v: 2}. What is prob of picking 1 d, 2 z, and 1 v?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0045 times 4?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1515, 3028, 4541, 6054?\n\"Answer: 1513*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -435 - e714?\nAnswer: -eb49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*j = -39*j - 11. What is the remainder when 86 is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -h - 4. Let d be 1 - (-3 + 0) - h. Let k(b) = -4*b + 4 + d*b - 4. Let l(s) = 4*s**2. Determine l(k(f)).\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddmdmmdmmdmmm. Give prob of picking 1 m and 3 d.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -520804125.15 + -1.158?\nAnswer: -520804126.308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4342154 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, j: 1, x: 2, m: 2, l: 7}. Give prob of picking 1 l and 1 x.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -45*z - 168. Determine i(-3).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3\/2, -0.3, -3.9, 2\/7, 19?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 6:33 AM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4 = 0, -5*h + 275 - 38 = 3*i. Is h a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248*i - 104*i - 11251 = -1043 for i.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46779, 93563, 140347, 187131?\nAnswer: 233915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - z - 204. Suppose 4*d = 2*v - z, -4*d + 57 = v - 0*v. What is the remainder when v is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -48*y**2 - 2552*y - 94. What is the smallest common multiple of q(-53) and 12?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-116)\/(-14) - (-93 + 101). What is the closest to z in 2, -1, -0.4, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.8873 - 0.0573. Let y = x + 0.17. What is the biggest value in -5, y, 0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 + 2)*(7*a**3 + 0*a**3 - 3*a**3) + (2*a + 0*a + 3*a)*(2*a**2 - a**2 + 0*a**2) to w + z*a + b*a**2 + p*a**3 and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 78582.47um in centimeters?\nAnswer: 7.858247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 4:40 PM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-4\/9)*z)\/z*z*z*z**10*z)\/(z\/((z*z**(-2\/7)*z)\/z)*z)**(-4\/25) assuming z is positive.\nAnswer: z**(20099\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*z - 7*z - 22. Let x = -23 - -57. What is the remainder when (2\/(-4))\/(z\/(-404)) is divided by x?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -222142994*h**2 - 404310226.\nAnswer: -444285988*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -0.2, 61, -0.5, 89970?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*j + 203*j + 608*j + 101*j + 71*j.\nAnswer: 1032*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147*q**2 + 51*q + 198 = 0. Calculate q.\nAnswer: -1, 66\/49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-1)\/6*2\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, s: 10, b: 3, h: 2}. What is prob of picking 2 b, 1 v, and 1 s?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 1458?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 11 (b) -0.3 (c) -2\/9 (d) 16 (e) -19 (f) -32\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 353972?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 877375?\nAnswer: 5, 7019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 2, -3 in increasing order.\nAnswer: -5, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 7*n**2 - 2*n - 2. Suppose -5*v + 32 = -3*s, 3*v + 2 = -4*s - 2. Let i be d(s). Let u = i + -33. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 115576944020 to the nearest 1000000.\nAnswer: 115577000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 519295 is divided by 37?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -39, -47, -53, -57, -59?\n\"Answer: j**2 - 11*j - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15.6 - 16.1. What is the closest to s in 1\/2, 2, 2\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/3*-66 + 1. Suppose q + x = 3*r - 60, 4*r = q + 140. What is the remainder when 137 is divided by r?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -110.6 - -84. Let k = 3.3 - -23.7. Let w = k + y. Which is the closest to 1? (a) w (b) 2 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 6*g. Let x be 50\/15*18\/(-15). Let p(c) be the first derivative of 1 + 0*c + 11\/2*c**2. Give x*p(o) + 7*l(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1169294 and 14364.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - 1. Let x(h) = -h**3 - h**2 + h + 4. Give 2*i(b) + x(b).\nAnswer: -b**3 + b**2 + b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -8*s**3 + 2*s**2 - 2*s + 1. Let p be c(1). Let r = p + 21. Let k be r\/(-63) + (-2)\/(-9). Solve 2*b - 5*b - 15 = k for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*c + 49 + 63 = 0. Solve -12*j + 13*j = 3*s + 10, 2*s - 3*j = -c for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28348294093608+-0.03\nAnswer: 28348294093607.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 65381114 + 41?\nAnswer: 65381155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/15)*b*b)\/(b*b**(2\/5))*(b*b**(-7)\/b)\/(b\/b**(-2\/33)))**17 assuming b is positive.\nAnswer: b**(-21301\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 10) to base 11\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 5*l - 75. Let i = 20 - l. Suppose 5*u = 2*h + 35, i*h = -3*u - u - 5. Let p(o) = -o**2 - 5*o + 7. Determine p(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(-63)*104\/(-4628)\nAnswer: -2\/267","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(-1 + 1 + sqrt(931)) + -3)**2 - -6*-2*(sqrt(931) - ((sqrt(931) + -1 + 0)**2 + sqrt(931) + sqrt(931) - sqrt(931)))) + -3 + 3.\nAnswer: -252*sqrt(19) + 14917","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*n + 2*n**4 + 14*n**2 - 16*n**2 + 2 - 5*n - 2*n**3 in the form z*n**3 + w + g*n**4 + b*n**2 + o*n and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fqrqylqlyyqlqby. What is prob of picking 1 b, 1 q, and 1 f?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 199612120.8 rounded to the nearest ten thousand?\nAnswer: 199610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 5:39 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 321 + (-6 - 1)*4\/14. What is the greatest common divisor of 11 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -5, -730, -1\/6 in increasing order.\nAnswer: -730, -5, -1\/6, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 1\/4, -5, 0.02, -1, 3433\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 144 and 90.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -2. Let j = 41863\/68 - 2463\/4. What is the nearest to 2 in d, -5, j, -22?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.7 + -0.9. Which is the second smallest value? (a) -1 (b) -2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2207 times -16.6944\nAnswer: -36844.5408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -220782*d**2 + 84821 wrt d.\nAnswer: -441564*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pm when two letters picked without replacement from {p: 4, b: 1, m: 2, w: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4382 - -9648. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77 + 11 + -3 + 3 + -261 + 263.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*b + 2*u - 4376 + 4642 = 0, 0 = 5*b + 3*u for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-6))\/(9\/(-990)*-10). Solve v = -a + 12*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b**2 - 457*b - 9379. Give k(-23).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -50637 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mff when three letters picked without replacement from qqqlqfyyfqlylqm?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) 1 (c) 1\/9 (d) -12\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -255.8588393 less than -0.2?\nAnswer: 255.6588393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggogggogggo. Give prob of picking 1 g and 1 o.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8277617 a multiple of 430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 5*u - 18, -u + 3*x = -2*x + 8. What is the remainder when 7 is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7463844?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/4 + 1950\/312.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230876 = -12*z + 2204528. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4660 - -4677. What is the second smallest value in 3, 0.15, i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of s**2 + 3 - 2*s**2 - 4. Let o(a) = 2*a**2. Determine o(f(h)).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - 7. Let d be (-1100)\/(-70) + (-4)\/n. Solve -3*g + 9 = 0, -5*r - 6*g - d = -3*g for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54020?\nAnswer: 2, 5, 37, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 7*t + 126. Calculate j(-29).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2*(((sqrt(396) + 1 + sqrt(396))*-6 + sqrt(396))*1 + -3)*1*5)**2.\nAnswer: 116160*sqrt(11) + 4799344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - 0) + 2 + (47 - 40)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or -238966?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4492196 weeks to milliseconds.\nAnswer: 271688014.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -116291*h - 108118*h + 211307*h as t*h + g and give t.\nAnswer: -13102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**2 + 2*s**2 + 2*s**2. Let a be -2*3\/(-6) - -2. Let o(k) = -a*k + 2*k - k. Determine o(y(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 0)*(31*g - 31*g - 64*g**2) - 5*g**2 - 3*g**2 + 2*g**2 as n + p*g + h*g**2 and give h.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -73*i**4 + 83*i**4 - 72 - 2 wrt i?\nAnswer: 40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*y + 11*y**2 - 6*y)*(-4*y + 58393*y**2 + 5 - 58391*y**2 + 12*y).\nAnswer: 22*y**4 + 88*y**3 + 55*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2588 is divided by 70.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37220.61548734 + -0.1.\nAnswer: 37220.51548734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*b, 2*b = m - 6*m + 4. Suppose -q = -2*a + 11, -a + m*q = 1 + 1. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1468 + -1083. Is c a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*b*k**3*r - 12*b*k**2*m**2*r - 4*b*k*r + 2*b*m**2*r - 2*k**3*m**2*r + 200*k**3*m**2 - k**2*m**2*r + k**2*m**2 + 3*m**2*r wrt k.\nAnswer: 84*b*r - 12*m**2*r + 1200*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(100)\/sqrt(4))\/(sqrt(720)*-1) + -4*(((sqrt(3025) - ((sqrt(3025) - 2*sqrt(3025)) + sqrt(3025)) - sqrt(3025) - sqrt(25))\/sqrt(5))**2 + 3).\nAnswer: -32 - sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + -15 + 15 + 8 + (73 - 5).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (250\/(-240))\/(1600\/2560)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 147?\nAnswer: -5\/147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a5775b0 - 0?\nAnswer: a5775b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4550594234 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5199722?\nAnswer: 2, 11, 17, 13903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqcciqiq. Give prob of sequence qi.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -4*p**3 - 12*p**2 - 6*p - 83. Calculate j(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-21 + 21)\/19)\/(-4 - -1). Suppose 2*k + 1 - 15 = 0. Put 2, k, u in increasing order.\nAnswer: u, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, j: 3, w: 1, d: 4}. Give prob of sequence jj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.26 - -0.16. What is the second biggest value in t, -0.5, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 200584*c**2 - 31476*c**2 + 19794*c**2.\nAnswer: 188902*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2\/3 + 95*m\/3 + 70.\nAnswer: -5*(m - 21)*(m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10004323 + -16908571. Let p = k - -18274248. Round p to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64 + 8*y + 68 - 131 + 9*y + 5*y.\nAnswer: 22*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*g**3 - 4*g**3 + 0*g**3)*(35*g - 64*g + 40*g).\nAnswer: 22*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 11*x**2 - 42*x + 8. Let h be b(-14). Solve -h = -5*f - 28 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-144)\/2700*(-72)\/(-16)?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1116.2*6\nAnswer: 6697.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 156111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + h + 3, 2*f - 12 = -h + 5*h. Suppose -2*i = -0*x - x - 23, 2*i - 3*x - 25 = f. What are the prime factors of i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 57 or 164\/13?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(204)*-1)\/sqrt(12) - 5*(sqrt(1088) + 2 + sqrt(1088)))**2.\nAnswer: 1680*sqrt(17) + 120052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k. Let w(y) = 1288*y - 4. Calculate w(l(g)).\nAnswer: -1288*g - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -5*k + 8, -3*t = 3*k - 2 - 4. Suppose y = -h - 46, -3*h - 4*y - 84 - 53 = k. Round h to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, y: 1, w: 2, u: 1, b: 1}. Give prob of picking 1 u and 2 w.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -5309501.8 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2.8*20122.7\nAnswer: -56343.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + 12 + (-5 - -25)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1579871*p + 1578834*p + 118218 for p.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*c**3 + 10*c**3 - 4 + 6*c**2 + 8.\nAnswer: 2*c**3 + 6*c**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z + 4. Let h be w(-5). Let m be (h + 4)*(6 + -8). Let l = m + 11. Solve j + l*c - 5 = -27, 2*j + 2*c = -12 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 73128185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + 38. What is the least common multiple of j and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(264)*1)\/sqrt(8) - sqrt(33)) + sqrt(33))\/(sqrt(36)\/(sqrt(24)\/sqrt(2))) + -2)*3.\nAnswer: -6 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -152 (base 10) to base 7\nAnswer: -305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of -q**4\/2 + 7*q**2. Let s(x) = -205*x**2 + 62*x**2 + 71*x**2 + 60*x**2. Give w(s(g)).\nAnswer: 144*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 10 = y + 3*k, -2*k = 2*y - 12. Suppose -2*q - 1 + y = 0. Suppose 2*g - 446 = q*r, 0 = -r + 3*r + 8. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1764*y - 1794*y + 0*y - 1124*y - 162*y)*(-2*y + 3 - 3)*(-3 + 3 + 2) in the form m*y**2 + s*y + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11122626.\nAnswer: 2, 3, 1853771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - i**2 - i + 4. Let v be d(0). Let k(c) = c**2 + 1. Let x be k(2). Let b = x + -2. Solve 4*o = 2*g + 3 - 5, 3 = v*o - b*g for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 14. Let f = -97 + 99. What is the closest to u in -4, f, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 = 12*w - 375. Find the second derivative of 5579*y - 5577*y - w - 4*y**3 + 30*y**3 wrt y.\nAnswer: 156*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 70*h + 351. Calculate the lowest common multiple of j(-5) and 236.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*f**2 - 13*f**2 - 9*f**2 - 14 - 4624*f.\nAnswer: -3*f**2 - 4624*f - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = g. Let l be (3\/2 + -2)*g. Does 5 divide 15 - (1 + 2 - l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 31 = 5*p, 3*p + 0*s = 4*s + 3. Let f(j) = j**2 + 7*j - 4. What is the least common multiple of f(-8) and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 576803?\nAnswer: -4\/576803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 2*k. Let o(j) = j - 6. What is o(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -17*j**2 + 5*j - 2. Let b be f(3). Let n(g) = -169*g + 1152. Let i be n(6). Let o = b + i. What is the biggest value in -2\/5, 2, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 379063 to the power of 1\/2, to the nearest integer?\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(-3)*m**(-5\/3)*(m\/(m\/m**9))\/(m*m**(1\/3)) assuming m is positive.\nAnswer: m**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**2)\/(u*(u\/u**(1\/12))\/u) assuming u is positive.\nAnswer: u**(-23\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3831, 7661, 11491, 15321?\nAnswer: 19151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6691*l = 8225*l - 3068 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -65 + 389\/6. Let h = 52.2 - 52.4. Which is the closest to w? (a) 1 (b) 5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 3*l = -12. Suppose l*w - 2 = 5*w. Let j = w + 2. Solve -2*u = -j*u - q - 9, -4*u + q + 17 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of 227*f**7\/42 - 173*f**3\/6 - 147*f. Find the second derivative of g(l) wrt l.\nAnswer: 4540*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 11*r**2 - 4*r - 3. Let y(g) = -21*g**2 + 7*g + 5. Let o(n) = -7*i(n) - 4*y(n). Differentiate o(j) with respect to j.\nAnswer: 14*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of 3*p**7\/98 - p**6\/35 - 337*p**5\/70 - 150*p**4\/7 + 475*p**3\/14 - 125*p**2\/7 - 1376*p. Determine y, given that k(y) = 0.\nAnswer: -5, 1\/3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 904*g*v**2*z - 10*g*v**2 + 2*g*v*z + 7*g*v - v**2*z + v**2 + 2*v*z - 51481*v wrt v.\nAnswer: 1808*g*z - 20*g - 2*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3518532*p**3 + 3498244*p**3 - 7016774*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 11:43 AM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 - 22. Let r be z - (4 - 3) - 0. Suppose -r*j + l + 295 = -0*l, 0 = -3*l - 12. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 l when three letters picked without replacement from {l: 2, s: 1, u: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -206*x + 5. Let z(j) = -393*j + 9. Let r(u) = -11*p(u) + 6*z(u). Let c(m) = 7*m**2. Give c(r(y)).\nAnswer: 59248*y**2 + 1288*y + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(-3))\/(2\/(-30)). Solve l*v - 5*t + 0*t = 25, 2*v = -3*t + 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54531)\/(-498)*((-182)\/21)\/(-13)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18357208 = -5*t - 731352. Let b = 9517712 + t. Round b to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(1\/2)\/n*(n\/(n*n**5))\/n)\/(n**2)**(-43))**(-46))**(-4) assuming n is positive.\nAnswer: n**14628","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 79 = -77. Let x be (-111)\/(-39) - (-6)\/r. Suppose -c - 2*z + 17 = 0, 2*c + 2*c - x*z - 35 = 0. List the prime factors of c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.25 - -0.15. Let f = 0.3 + -0.6. Let t = -0.215 + 8.215. What is the biggest value in f, j, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m. Let x(p) = -5*p**2 - 2*p - 2. Let k(o) = -4*o**2 - 3*o - 3. Let g(j) = 2*k(j) - 3*x(j). What is t(g(d))?\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -29\/3? (a) -4 (b) 1\/4 (c) 2.1 (d) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3.41 times -3\nAnswer: 10.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2*y + 8 = 0, -4*l + y + 6 = -2*l. Let z(m) be the first derivative of -10 - 46*m - 8 + l + 6*m**5 + 62*m. What is the derivative of z(g) wrt g?\nAnswer: 120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s**(-32)\/s)\/s)\/(s\/((s**(-32)\/s)\/s*s)*s)*(s**(-4\/9))**(-28\/9) assuming s is positive.\nAnswer: s**(-5396\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 1:30 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 14*u**2. Let v(h) be the second derivative of -h**5\/60 - 4*h**3\/3 - 3*h. Let s(l) be the second derivative of v(l). What is s(i(n))?\nAnswer: -28*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 99*n - 501. Is d(37) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 34*v**2 + 48*v - 114. List the prime factors of i(32).\nAnswer: 2, 5, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - (-6 - -4))\/(-8). Let d = -20.3 + 20. Which is the nearest to -1? (a) d (b) i (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, 3, 156318?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.119044061 and -9.16?\nAnswer: 9.279044061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (8 - (1 + 37 + -3 - (1 - 13)))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -1 (b) -55 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/9 - -2)\/(14\/(-12))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 0. Let i(a) be the first derivative of -a**4\/4 - 3*a**3 - 9*a**2\/2 - 7*a + 1. Let n be i(s). Which is bigger: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235716 is divided by 332?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 32\/6 + 2\/3. Suppose 2*s - 4 = p*s. What is the units digit of s\/((-33)\/30 + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 423?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 407559843?\nAnswer: 3, 559067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 2 = -3*y, -2*s + 3 = -5*y - 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00071345421 rounded to 7 dps?\nAnswer: 0.0007135","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 4*z**2 - 8*z + 28. Let y be q(4). Let l(h) = h + 5. Give l(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -661446, -661395, -661320, -661227, -661122?\nAnswer: -661011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2302*u + 190 = 2307*u for u.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1743136 divided by -435784.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80)\/45 + 2 + 152\/(-36)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2889806 + 985806. What is i rounded to the nearest one hundred thousand?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 66 + -28. Calculate the remainder when 150 is divided by p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 3)*(-o + 17*o - 2*o) + (-3*o + 7*o - 3*o)*(0 - 4 + 5) + 0*o + o - 3*o.\nAnswer: -71*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 5:42 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**5 + 7095*x**4 + 35424*x**3 + 56652*x**2 + 28320*x = 0 for x.\nAnswer: -2360, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 6480229 to the nearest 100000.\nAnswer: 6500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 6*s = -p, 0 = -5*p + 4*s + 21. Suppose 35 = p*u - 40. Let x be (4\/6)\/((-2)\/(-21)) + -2. What is the greatest common factor of x and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s - 128 = -16*s. Let q be (-1)\/(-2) - 10\/4. Let l be (-3)\/(-9)*3\/q. What is the nearest to l in -1, 2\/3, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2*o + 51, -s - s - 4*o = -118. Suppose 2*g = 5*y + 136, g + y + 3*y = s. Calculate the highest common divisor of 21 and g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = u + 127, 3*w - 3*u + 125 = -2*u. Let g = 2 - -48. Let m = g + w. What is the smallest common multiple of 10 and m?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/399 and 103\/140?\nAnswer: 7980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 2:10 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 0*y - 5*y)*(5*y**2 - 4*y**2 - 3*y**2) + (6*y - 4*y - 3*y)*(4*y**2 + y**2 - 4*y**2) + (-y**2 + y - y)*(-902 + 8*y + 902) + y**3 - 2*y**3 - y**3.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-7) - 93\/(-7). Let t(q) = q**2 + 9*q - 20. Let i be t(-11). Find the third derivative of m*w**2 - 5*w**3 + w**2 - 3*w**i wrt w.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -s + 411, -2*s - 3*l + 855 = -0*s. Suppose 0 = -2*d - 3*g - s, -2*g = -4*d - 0*d - 806. Round d to the nearest 10.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 400?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172879*u - 659027 = 168456*u for u.\nAnswer: 149","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-6))\/(3\/99). Suppose 5*x + a = -4. Sort -1, x, -14.\nAnswer: -14, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (3 - (-5 - -1))) + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 59 + -33. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17452 is divided by 5715.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -4*n - 2. Let p(z) = 6*z + 3. Let j be (8 + -8)\/(0 - -1). Suppose 4*i + 0 + 28 = j. Determine i*y(c) - 5*p(c).\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 21.30457mg?\nAnswer: 21304570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 232847737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ft when two letters picked without replacement from {r: 1, f: 1, x: 2, t: 1, k: 2, c: 2}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/((-70)\/1))\/(4\/10).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14653.\nAnswer: 14653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -6.128 (c) -1 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(39\/45 + -1). Is -1 + 3 + (-12 - j) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - t + 5)*(27 + 17 - 58)*(3 + 4 - 2).\nAnswer: 70*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.07 in 5, 0.3, 3, -16?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3942 and 3942.\nAnswer: 3942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(76) - sqrt(76)*-2*4) + 2*2*sqrt(76))\/(sqrt(20)\/sqrt(5)*-1 + (sqrt(12)*2)\/sqrt(3)).\nAnswer: 78*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a - 5. Let o be r(5). Let u(b) = 5*b**2 - 3*b + 7. Let t be u(o). Suppose 111*m - 52 = 107*m. What is the greatest common factor of m and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-9) + (-50)\/(-6). Solve -3*c + k = -c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33 + 71. Suppose 16386 = -i*g + 44*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of i**3 + i**2 - 5*i - 34. Let z be c(3). Solve 4*g + 12 = z for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f\/(f\/((((f\/(f\/(f*f**3)))\/f)\/f)\/f*f))*f))**(-19))**46 assuming f is positive.\nAnswer: f**2622","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m. Let g = -112 + 115. Let u be 0 - 6\/(-2) - (-9)\/g. Let z(p) = u*p - 2911 + 2911. Give c(z(k)).\nAnswer: 12*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5456, -10894, -16318, -21722, -27100?\n\"Answer: d**3 + d**2 - 5448*d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/3*12\/(-8). Let j be 3\/(-9)*(x - 0). What is the nearest to -0.1 in -1, j, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/i**(3\/7))**(6\/31)*(i**5\/i)**(7\/8) assuming i is positive.\nAnswer: i**(1651\/434)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 f when four letters picked without replacement from zffzfzffzzzhzzfzfz?\nAnswer: 21\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -452838584 by -155188.\nAnswer: 2918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2098*c + 3671. Give l(2).\nAnswer: -525","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 317 + 3*m**2 + 0*m**2 - 5*m**4 - 234*m**4 - 278*m**4 with respect to m.\nAnswer: -2068*m**3 + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1 (b) 38 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-16)*(0 + (-2)\/6)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 109*f. Let i(w) = -8*w**2 - 14*w. Let q(p) = -5 + 7*p**2 + 23*p + 11 - 11*p - 6. Let z(y) = -6*i(y) - 7*q(y). Calculate h(z(u)).\nAnswer: -109*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 10*i**2 - 9*i + 2. Give x(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrrrrrr. What is prob of sequence rrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 787\/4? (a) -0.04 (b) -3\/5 (c) -0.3 (d) -411 (e) -0.2 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51178.\nAnswer: 2, 25589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -2.05, 0.5 in ascending order.\nAnswer: -2.05, -0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -4, 29245 in ascending order.\nAnswer: -4, -3, 5, 29245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*c + 135 = 33 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2297685 and 780.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4*o - 4 = 0, -2*o = -4*m + 3*o + 31. Let r(q) be the third derivative of -q**5\/60 + 5*q**4\/24 - q**3\/3 + 7*q**2. What is r(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -26.2 in -93, -1\/3, -4.8, 3?\nAnswer: -4.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 5*j - 15. Which is the fourth biggest value? (a) -2 (b) j (c) 3 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -52, -11, 161 in increasing order.\nAnswer: -52, -11, 5, 161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 694, 863, 1322, 2215, 3686?\n\"Answer: 24*f**3 + f**2 - 2*f + 671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of g**4\/12 - g**3\/3 - 3*g**2\/2 + 4*g. Calculate q(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13\/4, 162588, 3 in ascending order.\nAnswer: 3, 13\/4, 162588","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 223200 (base 4) in base 8?\nAnswer: 5340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 6 + 6. Suppose 14*m + 6 + 8 = k. What is the second biggest value in m, -5, 2\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.007 times 0.034\nAnswer: 0.000238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 5.48406 nanograms?\nAnswer: 0.00000000000000548406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2948.\nAnswer: 2, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - s + 8 = 0, 0 = 5*s + 11 - 1. Let g be (-1)\/(3\/30*q). Solve -g*k = 2*l - 15, -l + 15 = 2*l for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9619 is divided by 3204.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v**2 - 173 + 127 - 2*v**2.\nAnswer: 2*v**2 - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -342, -685, -1028, -1371, -1714, -2057?\n\"Answer: -343*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/95 and 143\/3648.\nAnswer: 18240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/5 (b) -11.6 (c) -2\/11 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/702*-6)\/((-2)\/(-126)*7)?\nAnswer: -24\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -211*s + 358*s - 6174. Solve -2044*l = -2050*l + s for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7303*g = 7311*g - 112. Calculate the remainder when (-1 - 3 - -4) + 529 is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 5 + 3)*(-2 + 5 - 1)*(-16 - 18 - 29)*(3*q - 7*q + 2*q).\nAnswer: 3528*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 11:06 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/3))**(-13\/3)*(d**(-18)\/d)**(-10) assuming d is positive.\nAnswer: d**(1684\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 + 21. What is the closest to h in 0.5, -16, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40 + -8. Let u = -4 - -3. Let x = u - -4. Solve -4*i = 4*a - k, -2*a = -2*i + x*a - 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-4)\/(-16))\/(3\/804)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of 0 + 2\/51*s**4 + 31*s - 6\/17*s**2 + 1\/170*s**5 + 1\/51*s**3. Determine o so that p(o) = 0.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of 1\/12*b**5 + 0 + 0*b**3 + 0*b - 5\/24*b**4 - 75*b**2. Suppose l(p) = 0. What is p?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5075.2 times -1877?\nAnswer: 9526150.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 17*z**2 + 78*z - 504. Let x be m(14). Let 1\/3*b**2 - 2\/3*b + x = 0. What is b?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 28573?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/2 + 27\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 644.3593 decades?\nAnswer: 77323.116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (33\/2)\/(33\/572). Let n = 287 - j. Is -1\/769 at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 48*m - 3543. Calculate h(71).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qxxq when four letters picked without replacement from {x: 5, q: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-235)\/658)\/(140\/98)*(-8)\/(-18).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 540174 * 5\nAnswer: 2700870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1080 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 + 23*s - 1. Calculate the remainder when 565 is divided by l(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-5)\/(-40)*(-508)\/(-216)*-8 and -61\/30?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4404 - 4170. Solve 198 - j = -12*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26858602 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5*h = 6, 3*w - 2*h - 76 = 0. What is the greatest common factor of w and 4632?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at least -3.4065555?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -5*j**2 - 260*j - 255 = 0?\nAnswer: -51, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - 8*c - 11. Let s be n(-6). Solve 2*o = -4*j - 2, o + 2*j - s = -2*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 divided by 54?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 14*c - 150. Let z = 41624 - 41614. Determine h(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -131.026 - -131. Which is the second smallest value? (a) 0.1 (b) -4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -4*n**3 - 4*n**2 + 9. Let c(d) be the first derivative of -d**4\/4 - d**3\/3 + 2*d + 3. Determine 9*c(g) - 2*s(g).\nAnswer: -g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5077711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of (-26)\/(5 + 8)*-62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 28 = 11*g. Suppose 3*f - 15 = -3*u, 4*u - 9 = -g*f + 3. Solve 4*h = s + 2*s - f, -4*s + 26 = 5*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 2, -329, 1, -1.31, -2 in descending order.\nAnswer: 2, 1, 0.4, -1.31, -2, -329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -40.08, -0.0802, -5 in decreasing order.\nAnswer: -0.0802, -5, -40.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 371134*k*y + 501192*k wrt y?\nAnswer: 371134*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -325*k + 39535 = 50260 for k.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -350874129 + 350874052.2001876. Let n = y - -76.8. Round n to five dps.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*n + 67 + 7*n - 71)*(1 - 3 + 1) to x*n + y and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1930823898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(27) + 5 + (sqrt(15)\/sqrt(5) + -1)**2) + (-3*(sqrt(300)*-2 + -3 - sqrt(300) - (1 + sqrt(300) + -5)))**2.\nAnswer: -725*sqrt(3) + 43164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 11) to base 14\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 231557?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -5 + 8 + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, r: 2, x: 4, f: 3, e: 1}. Give prob of picking 1 x and 1 o.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + 3 - -4)*(7\/(-1))\/(-7). Solve 5*s - 59*y + 63*y = 0, -5*y = -f*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -61 - -34. Let y = 29 + w. Solve -p - y + 1 = 2*f, -4*f - 3*p + 1 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-98 - 9*q**2 + 98)*(2 + q - 2)*(3*q - 2*q - 2*q).\nAnswer: 9*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/1425 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 94, 111, 128, 145?\n\"Answer: 17*w + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1636)\/16769)\/((-30)\/533)?\nAnswer: 26\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (258\/(-11825))\/((-18)\/(-30))?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*m + 9*m - 3*m**2 + 10*m**2 as f*m**2 + o + a*m and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10346, 6547, 2748, -1051?\nAnswer: -4850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43 - -42. Let d be o\/(-5) + 1\/5*-1. Is 0 at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282 is divided by 51?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -19*m - 57. Let n be f(-3). Suppose -17*g + 31*g - 4676 = n. Calculate the remainder when g is divided by 85.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/12 - 160\/(-30). Let h(d) = 4*d**3 + d**2 + 17*d + 17. Does 12 divide h(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 15694?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 76\/206955 and -26\/22995.\nAnswer: 206955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*m*v - 98*m + 17*v - 1 wrt v?\nAnswer: 5*m + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p. Let v(b) = -141*b - 2. Let y be v(-1). Let c(r) = -3*r**2 + 139*r - y*r. What is c(w(h))?\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 146850*g + 775368. Let f(p) = 2*p + 11. Give -70488*f(m) + i(m).\nAnswer: 5874*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1072, 0, -1 in descending order.\nAnswer: 1072, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 30113174123 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2 + 4*k - k**3 - k - 3*k.\nAnswer: -k**2*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = p + 5, -16*p = -17*p - 2*g - 2 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -216 + 309. Let q = 54 + -52. Suppose -4*n = -q*c + 54 - 2, -3*c - n + 78 = 0. Calculate the remainder when i is divided by c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 5*d**2 - 7*d + 2. Let o be t(2). Let w(u) = u**3 - u - 21. Determine w(o).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 11 + 3. Let v(t) = t**2 + 6*t + 7. Let u be v(-5). Solve 0*y = -4*y - p + x, p = -u*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 172050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 107 + -105. Let n(g) be the first derivative of 0*g**3 + 0*g**2 + 0*g + b + 1\/5*g**5 + 1\/2*g**4. Determine v so that n(v) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -104120 - 125?\nAnswer: -104245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of 3\/4*p**5 + 3*p - 1\/3*p**3 + 0*p**4 + 35\/2*p**2 - 3. What is the first derivative of c(l) wrt l?\nAnswer: 45*l**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2659 - -0.0227.\nAnswer: 2659.0227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 8:15 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3733, 3104, 2051, 574, -1327, -3652, -6401?\nAnswer: -9574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 1:06 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 461?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 0*r - 86\/3*r**3 - 1\/3*r**5 - 15*r**4 + 0*r**2 = 0 for r.\nAnswer: -43, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2823339\/112 bigger than -25209?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooibiiiibkioo. What is prob of sequence io?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 54. Let o = g - 44. Let r be (2 - -1) + (-6 - o). Is r at most 5\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 + 7*j + 47. Let o be u(11). Sort 2, 1, o, -5 in decreasing order.\nAnswer: o, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-6)*((-198)\/12)\/(-11). Suppose q - 4*l + 2 = 0, -2*q = -0*q - 3*l - 6. Find the common denominator of (-137)\/q + (p - 2) and -93\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1*(sqrt(720) + -3 + sqrt(720) + 5 + sqrt(720) + -2 + 4))**2*1.\nAnswer: 360*sqrt(5) + 6505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 404841?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16116 = -4400*q + 5488 - 4004 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*c = 724 - 1124 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -45402629647.877458 + 45402587049. Let v = m + 42599. Let y = -0.122 + v. Round y to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56168?\nAnswer: 2, 7, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of m**6\/30 + 7*m**3\/6 - m**2. What is the first derivative of r(i) wrt i?\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 274*r**2 - 10*r - 18. Let u be 7\/(35\/(-15)) - -1. What are the prime factors of o(u)?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g**2 + 4*g + 2. Let a be t(-5). Let y = -127\/4 + a. What is the third biggest value in y, -4, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 401032 to the nearest integer?\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.2 + -2.9. What is the nearest to 0 in n, -0.5, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3550 divide 282879936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8, 0, -4\/3, -3\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiviivivi. Give prob of sequence ivi.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2432 (base 7) to base 10.\nAnswer: -905","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 1 = -m. Suppose -5*d + 17 = b - 3*b, 5*b - 25 = -d. Suppose -b*w - m = -46. Is w a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 67058436?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 554217 to the power of 1\/2, to the nearest integer?\nAnswer: 744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6685)\/(-245) - 23)*(-1064)\/(-3). What is the highest common factor of 800 and u?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1096, -2193, -3290?\nAnswer: -4387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(((-18)\/(-636))\/3). Let s = m - 99. Solve 2*n - s = -5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -19 + 2?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.19508 and 204909.\nAnswer: 204908.80492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r - 4. Let k be v(-3). Suppose -6*y = 12 + 12. Put y, 4, k in descending order.\nAnswer: 4, k, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236643404731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 843040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 24484502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) + 0)**2 + 5 + sqrt(325) + sqrt(325)*1 + 0.\nAnswer: 10*sqrt(13) + 330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 68 - 44 = 0. Solve 0 = -4*t + 3*w - 7, 2*t - i*w = -15*w - 17 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15976 and 24?\nAnswer: 47928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*d - 2)*(4 - d**2 - 4)*(3*d - 2*d + 2*d) + (2*d**3 + d**3 - 4*d**3)*(-1 + 1 + 2*d).\nAnswer: -8*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + 9*w + 12. Is s(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 649 bigger than 33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 627750 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 243 and 189.\nAnswer: 1701","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 440 divided by 11\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 9 = 7. Let n = s + 10. Is n a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 94 + 76 - 221 + 65 - 318*z to the form m*z + a and give a.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 3*y - y = -15, -4*y + 17 = -5*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 455 and 1690.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + (1432\/24 - (-4)\/(-6)). Let w = r - 65. What is the units digit of (-3723)\/68*4\/w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 13*b - 240. Let y = b - -47. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -450, -263, 218, 1131, 2614?\n\"Answer: 23*b**3 + 9*b**2 - b - 481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 5*h + 15, -30*h + 33*h - 23 = -j. Calculate the lowest common multiple of j and 2018.\nAnswer: 8072","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 1 = 2*x - 5, 8 = -d + 4*x. Let l be d - 3 - 6\/(-12)*46. Let w be 30\/9*(-9)\/(-6). Solve -w*n = -0*n - l for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*w - 3*w + 14. Sort w, 3, 8 in decreasing order.\nAnswer: 8, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/9, 12, -5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -5*x + 4*l + 47, 3*x + 8 = -5*l for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000014761 to 6 dps.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*x**3 + 184 + 12*x - 311 - 255 - 73 - 195 with respect to x.\nAnswer: -33*x**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 525535169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12384 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3.08*-438.955\nAnswer: -1351.9814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 p when four letters picked without replacement from pdpdddddddd?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**2\/2 + 39535*m - 22857828 = 0. Calculate m.\nAnswer: -79644, 574","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -612 divided by 6?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 3*s**2 + 19*s - 53. Let a be d(3). Let f be ((-2)\/(-3))\/((-4)\/36). Let i = 4 + f. Put i, a, 5 in descending order.\nAnswer: 5, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -157 - -184 - (-4 + 9).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 8*j + 99. Give w(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2147*t - 285 = -2148*t. Solve t*y = 275*y + 20 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.9077884 + -0.1\nAnswer: -1.0077884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - (3 - 7))\/((6 - (3 + 7)) + 6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 81356*-0.2\nAnswer: -16271.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5*y - 42 = -6, -2*y = -4*x - 40. Let n(l) = -l**3 - 9*l**2 - 11*l - 19. Calculate n(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -7 + -4 + -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4*f = 0, 3*k + 0*k - f - 9 = 0. Suppose 0 = -k*c + 12 + 4. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 746?\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*(18\/3)\/(-18) + 42\/2?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -4*l + 5174, 0 = 5*j - 11 + 1. Let m = l + -11627\/9. Calculate the common denominator of 95\/4 and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8\/1865 + -9349\/5595. Which is the nearest to 4? (a) x (b) -2\/3 (c) 5 (d) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 8 = -20. Suppose 4*v - x = -7, -2*x = c*v - 0*x - 3. Is v at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35901 divided by 2\nAnswer: 35901\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 487 - 1445\/3. Factor 14*k**2 - 8\/3 + n*k.\nAnswer: 2*(3*k + 2)*(7*k - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/19 (b) -183 (c) 1 (d) 717 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22493 and 332.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 7*i + 20. Let x(m) = -6*m - 16. Let k(n) = -4*b(n) - 5*x(n). Let s(f) = 2*f - 2*f + 7*f**2. Calculate k(s(g)).\nAnswer: 14*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + -0.1. Let k = 0.06 + 0.14. Let m = -0.1 + k. Which is the closest to -0.2? (a) 1\/6 (b) m (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 1b5a0?\nAnswer: 1b5a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + 2 + 1)\/(-4)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11a247 (base 14) in base 16?\nAnswer: -937e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -35602825 - 121011?\nAnswer: -35723836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 173 divided by 196833\nAnswer: 173\/196833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15507 + -15505. Let a(p) be the first derivative of -2*p**d + 16 + 6*p - 1\/3*p**3. Calculate a(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 45*w - 28*w. Solve w = 9*k - 7*k + 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 461 + -458. Suppose -2*r + 144 = -4*j, -z*r + 4*j = -2*r - 82. Is r a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 - q**2 - 2*q**2)*(-47 - 26 - 67).\nAnswer: 700*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 7 + 1. Suppose 2*d + 8 = 0, -b - 3*b - z = 2*d. Let w(p) = 4*p. List the prime factors of w(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58285 is divided by 145?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7966413864 to the power of 1\/2, to the nearest integer?\nAnswer: 89255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14638190?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -50*p + 359. What is b(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**2 + 124*f + 3844 = 0 for f.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/((-2)\/87*(-9)\/12). Calculate the highest common divisor of 754 and w.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -2\/35, -2\/3, -2\/7, -1.8?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 408034408 to the nearest integer?\nAnswer: 742","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by 7058308.\nAnswer: -19\/7058308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13854 by 51.\nAnswer: -4618\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.967646859 and -2.\nAnswer: -1.032353141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003470500642 to six dps.\nAnswer: -0.003471","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2 - 121869*s + 207012144.\nAnswer: -3*(s - 1633)*(s + 42256)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 2, -86 in descending order.\nAnswer: 5, 2, -2, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/813 in 15\/22, -6, 5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 3 - 345\/135. Determine u so that 2\/9*u - t*u**2 + 0 = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**2 - 299 - w**2 + 98 + 99 + 101 + 5*w**3 as a*w**2 + u*w**3 + m*w + x and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 975912275 - -0.01.\nAnswer: 975912275.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 6.1, 2, 11, 4, -1\/5?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 7\/619372?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = 4*o - 5*u, 2*u + 62 = -3*o - 0*u. Let l be (35\/(-25) + 2)\/((-2)\/o). Suppose 235 = l*i - 131. Calculate the lowest common multiple of i and 1.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/3)\/((-8)\/12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1d68 + -5?\nAnswer: 1d63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -s + 6*s. Let k(t) = -t**2 + 8*t - 16*t + s*t - 3. Calculate k(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172015700569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 347 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (297\/(-132)*(-12)\/(-8))\/(4\/48*-3)?\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 146197, 146245, 146387, 146671, 147145?\nAnswer: 147857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j + 3*j**2 + 2*j**5 - j**2 - j - 1 + j**5 - 2*j**4 + 2*j**4 + (5*j - 5*j + j)*(-2*j**4 - 1 + 1).\nAnswer: j**5 + 2*j**2 + j - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.123607 take away 1077840883?\nAnswer: -1077840882.876393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -57*z - 5. Let n(a) = -6*a**2 + 5. What is w(n(p))?\nAnswer: 342*p**2 - 290","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*2.7628\nAnswer: 1.3814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6982915 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001368367441 to seven decimal places.\nAnswer: 0.0000137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 3*s + 7 = -14, -3*h - 5*s = -13. What are the prime factors of (-3)\/h + (-29)\/(-2)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4329 = -819*j + 806*j. Suppose 0 = 4*m + m + 20. Is 10\/(-1 + m) + j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d - 5. Let p(i) = -9*i - 16. Let k(z) = -17*h(z) + 6*p(z). Let t(a) = -a - 4. Let x(j) = 2*k(j) - 7*t(j). What is the units digit of x(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 45125115, 45125122, 45125129, 45125136, 45125143, 45125150?\n\"Answer: 7*n + 45125108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101321403 (base 5) in base 14?\nAnswer: -459b00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2777a + -69?\nAnswer: -27827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 13)*(-22)\/240*-10?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b + 2*b + 2*b + (5*b + 5*b - 3*b)*(4 - 5 + 2) - 69*b - 57*b + 50*b.\nAnswer: -63*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.8459 to 1 dp.\nAnswer: 8.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 189982?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 - 31 = -26*j. Which is the closest to 8? (a) -1\/3 (b) -0.2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, -2\/9, -10, 201, 2\/11, 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/45 and -2\/615?\nAnswer: 1845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2\/9, -18, 1.44 in ascending order.\nAnswer: -18, -1, -2\/9, 1.44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tnnnnahnmttmzta. Give prob of sequence tm.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.2 (b) 6 (c) -10 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9 + 1)*-10*(-6)\/60. Let m = 11 - -6. Calculate the remainder when (-545)\/(-20) - (-2)\/l is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 100059, 0, 3, -3, -1, -8 in increasing order.\nAnswer: -8, -3, -1, 0, 3, 100059","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/14)\/((-66)\/2772).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a**5 + 1166279*a**4 + 9*a**3 + 25252219*a**2 wrt a?\nAnswer: -120*a**2 + 27990696*a + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g - g + 779*g**2 + 918*g**2.\nAnswer: 1697*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12\/14)\/((-10)\/35). Suppose 4*f + v + v - 46 = 0, 0 = -f - 3*v + 19. Which is the closest to 0? (a) -1 (b) w (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9814, 9553, 9294, 9037, 8782, 8529, 8278?\n\"Answer: b**2 - 264*b + 10077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24 - -3 - (53 - 52 - 26)) + 91 + 1.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14571 is divided by 2080?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/54231 and 91\/24.\nAnswer: 433848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*v**2 - 2 + 7 - 8*v**2 in the form p*v + c*v**2 + i and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00031654 rounded to 5 decimal places?\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**2. Suppose -5*w + 2638 = u - 1033, 3*w - 2205 = -3*u. Let o(r) = 734 + 16*r - w. Calculate n(o(x)).\nAnswer: 512*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 65 - 197\/3. What is the nearest to 0 in 1, b, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (58\/319)\/((-1)\/(-22)). Sort -1, 0.2, g.\nAnswer: -1, 0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 - 19 = -26*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wxxxwx. What is prob of picking 1 w and 3 x?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - m = 2*m + 20, -2*q + 3*m + 16 = 0. Let a(b) = -2*b + 2*b**q + b**2 - 2 + 4*b - 2*b**2. What is a(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2075\/497, -1, 2, 1\/11 in descending order.\nAnswer: 2, 1\/11, -1, -2075\/497","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-146)\/22 - 623\/(-979)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 761335 to the nearest integer?\nAnswer: 873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d - 3*d + 4*d + (-3*d - 5*d - 28*d)*(-1 - 3 + 3).\nAnswer: 39*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 40*d + 83 + 477 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 246*q - 26317 + 4877 = 1949 + 7853 for q.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a - 2*a + 124. Suppose h + 14 = a. Let r be h\/15*30\/4. Calculate the greatest common divisor of r and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27076388+-337\nAnswer: 27076051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 1080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18177 is divided by 6001?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 112043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (((-8)\/((-80)\/15))\/((-32)\/(-192)))\/(5\/(-15))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 392 + -279. Let n = -111 + d. Solve 0 = -3*k + 6, 4*k + 12 = 6*j - n*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1316554 is divided by 440.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1039.99999575 - 1040. What is b rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -49*l**3 - 4*l**2 + 6*l + 3. Let r be k(-4). Suppose 40*b = 37*b + r. List the prime factors of b.\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1812, 1798, 1784?\n\"Answer: -14*p + 1826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 - -69. Let t = z + 46. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1681*z - 78026 = 1237*z + 3084*z for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 267*k - 271*k - 210, 5*k = 25. Let q = 158 - 89. Calculate the greatest common factor of q and d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 717595897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 0*h + h)*(8 + 7 - 167)*(4*h**3 + 9*h**3 - 2*h**3).\nAnswer: -1672*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 2*a + 0*a)*(-10*a - 39*a - 128*a).\nAnswer: 177*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 22530155 minus 1053350?\nAnswer: 21476805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.875? (a) 2\/3 (b) 4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, -6, 0.08, -3041, -0.2, -0.6?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - f + 25 = 0, -f + 47 = 4*t + 27 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (-8 - (-24 - 7)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u + 3. Let g be j(3). Suppose -2*n - 4*f - 8 = -6*n, -2*n - 3*f - 11 = g. Which is smaller: 1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7893, 7839, 7785?\nAnswer: 7731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -93903075980 rounded to the nearest one million?\nAnswer: -93903000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p - 14*p = 5*n + 161, 0 = 5*p + 10. Let o(g) = -10*g - 72. What is the hundreds digit of o(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 l, 1 n, and 1 f when four letters picked without replacement from xllxyxfnxxnx.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/98*6\/9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 0 - (-9 + 4 + 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = b - 452, -10*b + 11*b + 5*n - 432 = 0. Calculate the highest common factor of b and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27599 (base 11) to base 3\nAnswer: 1222221000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-100)\/(-40)*3*4\/(-6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -15704 divided by -7852?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -12*p. Determine l(-3).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -424, -1715, -3866, -6877?\nAnswer: -10748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1159 = -y + 2*o, 153 - 3614 = -3*y + 2*o. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2514 = 5*v + 4*f, 3*v - 1007 = 5*v + 3*f. Let g = v - -508. Which is the closest to -6? (a) g (b) -0.2 (c) 2\/19 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - j - 1. Let d = 4 + -2. Let a(m) = 4*m**3 + 4*m**2 - 2. Let t(w) = d*q(w) - a(w). Factor t(n).\nAnswer: -2*n*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14 - ((-954)\/192 + -12) and ((-23)\/31 - -1) + 1\/(-4).\nAnswer: 992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3152 divided by -1576?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 4*t - 3416 = 0, -10*q - 5*t = -11*q + 660. Calculate the remainder when q is divided by 332.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**6\/(n**(-2\/13)*n))**(-35)\/((n**(-1)*n)**(-38)*n\/(n*n*n**(-4))*n**(-1)) assuming n is positive.\nAnswer: n**(-2371\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -606210897 - -3?\nAnswer: -606210894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 719.8234868 - 18.\nAnswer: 701.8234868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (16 - 15)\/(-7 + (-7 - -13)). Is -18\/545 not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11079.\nAnswer: 3, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4784 = 139*p - 123*p. Calculate the highest common factor of p and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1366515.15 hours in weeks?\nAnswer: 8134.01875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -361 = -4*b - 229. Are b and 19 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -101*d**6*r**3 - 2*d**3*r**3 + 92*d**2*r**3 - d**2 wrt d?\nAnswer: -12120*d**3*r**3 - 12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18265 - 7111. Is v a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-23)\/(-2)*6\/(-15)*-5 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*v - 4*i - 32, 3*v = -828*i + 831*i + 30 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7414\/133 or 55?\nAnswer: 7414\/133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 1827?\nAnswer: -548.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1829527 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -1. Let z = x - -5. Which is the smallest value? (a) 0 (b) -4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5831 + -6077. Sort f, -4, 0.1 in increasing order.\nAnswer: f, -4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -14*l**3 - 1053*l**2 + 9*l - 8. Let b(c) = -5*c**3 - 352*c**2 + 3*c - 3. Determine -8*b(n) + 3*h(n).\nAnswer: -2*n**3 - 343*n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-46 - 0)*6\/(-12). Suppose d - g = -r, -r - 5*d = -3*r + 60. Suppose -4*y = r - 157. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k - 1. Let x be y(-6). Suppose 5*w + 1 = 3*z - 21, -25 = x*w. What is the closest to z in 0.5, 5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 at least as big as 16.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*q + 15*q + 42. Let h(p) = p**3 + 6*p**2 - 3*p - 34. Calculate the remainder when q is divided by h(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x\/x**(-2\/7)*x*x*x**(-5\/4))**(2\/97)*x**3\/((x\/(x*x**(-2\/7)*x*x*x*x*x))\/x)*x**4*x**(-8)\/x*x*x assuming x is positive.\nAnswer: x**(7873\/1358)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13034523 is divided by 771.\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35 + 71\/2. Put 3, 0, x in descending order.\nAnswer: 3, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -52.\nAnswer: -5\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008731652 rounded to seven dps?\nAnswer: -0.0008732","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 63 in decreasing order.\nAnswer: 63, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of u**5\/12 + u**4\/8 + 23*u**2. What is the second derivative of z(b) wrt b?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**4 - 532460*b**3 - 35373653354*b**2 + 8726100374040*b - 537151049398152 = 0. What is b?\nAnswer: -133238, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 2. Let d be h(-3). Suppose -2 + 14 = 3*z. Solve d*s + 3 = 2*s - v, z*s + v + 3 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of ((-16002)\/56 + 21)\/(6\/(-16))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m*m**(-1\/4))\/m*m)**(-1\/7))**(1\/6) assuming m is positive.\nAnswer: m**(-1\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2183911 is divided by 3299.\nAnswer: 3272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - (-2 + sqrt(117))*-6)**2 + sqrt(117))*3.\nAnswer: -1503*sqrt(13) + 17631","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1121827, -1121867, -1121907, -1121947, -1121987, -1122027?\n\"Answer: -40*p - 1121787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from jvtwljvdd?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -90, -0.2, -0.3, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52658547?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of a**3\/6 - a**2 - a. Let u be j(0). Sort u, 4, -4 in descending order.\nAnswer: 4, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -62457 and 4426?\nAnswer: 66883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5361.9 - -5362. Which is the closest to 1\/3? (a) 0.4 (b) 20 (c) g (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b - 6 = g, 1 + 1 = b + 4 - 3 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -645103.8 to the nearest one thousand.\nAnswer: -645000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4183500 rounded to the nearest one hundred thousand?\nAnswer: 4200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 339082 = -3*m + 36*m - 75695. Does 23 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 2\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 5)*(2*s - 2*s - 2*s) + 33 + 3*s - 33 - s + 0 + 0 - 8*s + 29*s - 9*s.\nAnswer: 16*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 578276 by -289138.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 42233 to the power of 1\/2, to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3977700 rounded to the nearest one hundred thousand?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (600\/(-875))\/(-8)*21\/6?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 57910331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -502*u + 1308. What is i(3)?\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -21*m**2 - 11*m**2 - 9*m**2 - 24*m**2 - 35 + 35*m. Let n(h) = 11*h**2 - 6*h + 6. Determine -35*n(s) - 6*u(s).\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49 - o**2 + 100 - 297*o + 142.\nAnswer: -o**2 - 297*o + 193","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 167700 by -65.\nAnswer: -2580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 11*u + 1. Suppose -17*w = 26*w - 45*w - 8. Let i(s) = s + 1. Give w*o(c) + 4*i(c).\nAnswer: -40*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 101664586 and 0.3.\nAnswer: 30499375.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n\/n**(-3))*n*(n\/((((((n*(n*n*(n**11\/n*n)\/n*n)\/n)\/n)\/n)\/n)\/n)\/n))\/n*n assuming n is positive.\nAnswer: n**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66006932 - 66006932 + 12*f**2.\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*o + 3*o + 2*o)*(-5*o + 2*o + 4*o) + (o + o - 3*o)*(5 - 5 - 9*o)*(1 - 3 + 0) + 6*o**2 - 3*o**2 - 2*o**2 as w + u*o**2 + h*o and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -12*v**3 - 4*v**2 - 6*v - 8. Let q(x) = -x**3 - x**2 - 1. Let i(z) = -k(z) + 10*q(z). Factor i(y).\nAnswer: 2*(y - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.02 + -0.18. Let r = 15.6 - 2.6. Let g = r - 15. Which is the second smallest value? (a) g (b) n (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -275*o - 7*l = -273*o - 136007, 2*l - 68014 = -o. What is the hundreds digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.054707 - -0.054735711. Round x to 6 dps.\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48664 and 306432?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158 = -227*n - 26 + 95 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 1 = r. Sort 4, -5, 3, r.\nAnswer: -5, r, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/225 + 59\/3150. Let j(y) be the third derivative of 0*y**4 + 0 + 1\/2*y**3 - 1\/10*y**5 + 0*y**6 + 0*y + u*y**7 + 3*y**2. Factor j(w).\nAnswer: 3*(w - 1)**2*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.77 (b) 42.2 (c) -19\/6 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -33807, -33806, -33805, -33804?\n\"Answer: w - 33808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7954440 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 671187*x**3\/7 - 5676*x**2\/7 + 12*x\/7 = 0. What is x?\nAnswer: 0, 2\/473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1\/2117, 5, 3\/2, 1?\nAnswer: -1\/2117","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42763 and 2583.\nAnswer: 384867","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - s - 10, -14 - 4 = -3*n + 3*s. Suppose -4 = -n*b - 8. Let d(h) = -4*h. Determine d(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15254579, 15254583, 15254587, 15254591?\nAnswer: 15254595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/5 - 206\/(-10). Solve b - 5*b + 3*h - 16 = 0, 5*b + l = -h for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-4)*x)\/x**(2\/5))\/((x\/(x*x*x**2*x))\/(x*x**(2\/9))))**35 assuming x is positive.\nAnswer: x**(574\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -71*s**6 + 2*s**2 - 62 wrt s?\nAnswer: -8520*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22982 = 7*k - 18878. What is the hundreds digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/6 + (-3)\/(-2). Factor f**2 - f + 3 - 5 + 0 + w.\nAnswer: (f - 2)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 0 - 3*u + 0*u - 4 - u + u**2. Let n be a(7). Suppose -x + 9 = -n. Does 10 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -9*u + 5. Solve -z - 1 + u = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of 479*l**6\/60 + 1007*l**5\/60 - 160*l**2. Find the third derivative of m(j) wrt j.\nAnswer: 5748","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (14 - -1)\/(22\/22). Suppose 0 = f + 2*f - q, 2*g - 86617 = -f. Let y = -3334505\/77 + g. What is the common denominator of -23\/2 and y?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6746184 and 15480.\nAnswer: 3096","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/9 (b) -0.05127 (c) 0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (4 - 3) + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 26 + 4. Let p(o) = -o**2 - o - 6. Let r be p(l). Let m = r - -50. Calculate the remainder when m is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(3744)*1 + sqrt(3744) - sqrt(3744))*1)\/((sqrt(2) - (sqrt(96)\/sqrt(3) - sqrt(2))) + (sqrt(242) + sqrt(242)*-2 - sqrt(242))).\nAnswer: -5*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -67 - -91. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 997 is divided by 29.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1725260313 to the power of 1\/2, to the nearest integer?\nAnswer: 41536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*-1 + 7 + -4. Suppose q*d - 4 = 14. Solve 3*x - 4*f = -d*f - 1, -2*f - 16 = -4*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b28 (base 13) in base 6?\nAnswer: 12433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 1 - 2 + 180*t**2.\nAnswer: 180*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 112 and 752?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.02 and 167499 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2961\/3419 or 2?\nAnswer: 2961\/3419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 2105404?\nAnswer: 2105415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 351 (base 7) in base 15?\nAnswer: c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of 179*b**4\/12 + 107*b**3\/6 - 129*b. Find the second derivative of a(p) wrt p.\nAnswer: 358","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5550834 and 48?\nAnswer: 44406672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13722 - 13723. What is the second smallest value in p, -0.1, 0, -19?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n = 11*n + 3*b - 35, -5 = 2*n - 3*b for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ah when two letters picked without replacement from hdtdhadhhhdhhhhd.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 8, 120244, 3 in descending order.\nAnswer: 120244, 8, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 29 = 2*t + 2*t, -4*t - 39 = 3*o. Let d be (-3)\/t + (-10)\/4. Which is greater: d or -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5*s = 36. Suppose -a + s = a. Suppose j + j = a. Solve 4*w - 56 + 11 = -5*f, -5*f = -j*w - 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.5 - -0.5. Let o = -1.9 - d. Let q = 0.068 - 0.168. Which is the closest to q? (a) -1\/3 (b) o (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 529*m - 14610 - 14485 for m.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 362*24412.\nAnswer: 8837144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3867702636.\nAnswer: 2, 3, 7, 46044079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 63402969 to the nearest integer?\nAnswer: 7963","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 103 (b) 0 (c) 1.24 (d) -0.5 (e) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/3*(-2 + 1) - -1. Suppose d = -4*k - 17 + 13. Which is smaller: -14\/13 or k?\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 7. Suppose -i*l + 48 - 8 = 0. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c**3 + 4*c**2 + 4*c - 2466. Let t(b) = -2*b**3 - 3*b**2 - 3*b + 2466. Determine 3*n(m) + 4*t(m).\nAnswer: m**3 + 2466","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + c - 5*c)*(5*c + 7 - 7 - c - 1 + 1 + (2*c - 2*c - c)*(5 + 0 - 3) + 3*c - 2*c + 0*c).\nAnswer: -18*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 157 - 149. Which is the closest to -0.5? (a) u (b) 3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -45*o**4 + 2*o**4 + 40*o**4 - 55*o**4 - 70*o**4 + (o**3 + 2 - 2)*(o - 2*o + 3*o) + 35*o**4 + 3*o**4 - 3*o**4.\nAnswer: -91*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rssssxxsbssmxsrsrsmm. What is prob of sequence ms?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 82542 and 354?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 33, 78, 141, 222?\nAnswer: 321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 4*y**3 + 165*y**2 - 13*y + 40. Give f(-41).\nAnswer: 2254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2112) - sqrt(33))\/sqrt(11) - sqrt(18)\/(sqrt(24)\/sqrt(4)))*2.\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300 = -3*c + 2*o, 396 = 4*c + 4*o - 8*o. Calculate the highest common factor of c and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59226 - 22*t + 18198 - 15864 + 23*t.\nAnswer: t - 56892","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**2 + 6*z**2 - 2*z**2 + (-z - 2*z + z)*(1 - 2*z - 1) + 3*z**2 + z - z)*(-27*z**3 + 14*z**3 + 37*z**3 + 36*z**3).\nAnswer: 480*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**5 - 63927*h**4 + 454137390*h**3 - 1076002472532*h**2 + 3223921906872*h.\nAnswer: 3*h*(h - 7102)**3*(h - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 9 + 1 + -10.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: Differentiate 188606095*l*m + 61645017*m with respect to l.\nAnswer: 188606095*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 230110 - 2?\nAnswer: 230102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 5*y**3 - 24*y**2 - 58*y + 153. Calculate t(6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 k when three letters picked without replacement from dfqqbkqqkqdkqqkqdfk.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9 less than 4831.0945?\nAnswer: 4832.9945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((-1 + sqrt(200) + -1 + sqrt(200) + sqrt(200) + sqrt(200))*6 - (5 + (-5*(0 + sqrt(200)) - sqrt(200)))) + 3)**2.\nAnswer: -8400*sqrt(2) + 180194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 179807\nAnswer: 6\/179807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -11 - (6 - -5)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/3 - 4067*z\/3 - 28616.\nAnswer: (z - 4088)*(z + 21)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000747313827 rounded to seven dps?\nAnswer: 0.0007473","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2 - 18577664*v - 21570599981056.\nAnswer: -4*(v + 2322208)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -1800450.\nAnswer: -4\/900225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 (base 11) in base 8?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/(-28))\/(81\/(-189))*-3\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20020087 to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5935692 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 117*a**2*r**2 - 13*a**2*r - 505214*a**2 + 34048*a*r**2 wrt r.\nAnswer: 234*a**2 + 68096*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 5*d + 88 + 118, -4*g + 752 = -2*d. List the prime factors of g.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 62937127 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.3 (b) 0.4 (c) -0.017\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 468 = -3*v, -4*g + 8*g = -v + 468. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 12:37 AM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 41892607*k*t + 429216400*t with respect to k.\nAnswer: 41892607*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t\/(t\/((t*t**(2\/3)*t*t)\/t)*t))*t**10)\/((t\/t**(-10)*t)\/t**8))**(-25\/3))**(2\/55) assuming t is positive.\nAnswer: t**(-160\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3 + (2 - 3) - ((-37 - 3) + -11700)?\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 3 = 2*n, -30*n + 24 = -5*w - 27*n for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -w**8\/3 + w**5\/60 - 7*w**4\/6 + 24*w**2 + w. Find the third derivative of f(m) wrt m.\nAnswer: -6720*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001588132 to 4 dps.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 94 - 65. Let t = s + -29.5. Let c be 1*(1 - 2)*0. What is the closest to c in t, -2\/13, 3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 + -23. Solve d*w + 48 - 8 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -643823, -643816, -643809?\n\"Answer: 7*x - 643830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 128 and 361248.\nAnswer: 1444992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*c*u**5 - 2*c*u**2 - 2*c*u - 79*c + 15*u**5 + 3*u + 1 wrt u.\nAnswer: -220*c*u**3 - 4*c + 300*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10505 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2 + 9 + 0*g - 5 - 4*g. Let z(d) = -5*d + 3. Let s be z(2). Is w(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2905585164.\nAnswer: 2, 3, 43, 43651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 353015.\nAnswer: 5, 13, 5431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b - 1. Let t be v(-3). Suppose -5*p + t*p = 3. List the prime factors of 10\/4*(1 - p).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 s when three letters picked without replacement from {r: 2, y: 5, s: 6, v: 1, m: 3, k: 2}.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 400 + -2804\/7. What is the fourth smallest value in 0.2, -5\/3, 0, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(144)\/(sqrt(9) + sqrt(45)\/sqrt(5))*1)\/((sqrt(8) + sqrt(512))*3 + (sqrt(168)\/sqrt(7))\/sqrt(3)).\nAnswer: -3*sqrt(2)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 292830 to the nearest integer?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 477957?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from qjjqq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18.081 + 5.029. Let a = c - 0.61. Let u = 30 - a. What is u rounded to zero dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of 39*d - 23\/42*d**7 + 0*d**5 + 0*d**3 + 0*d**2 + 5\/3*d**4 + 0 + 0*d**6. Find the third derivative of y(w) wrt w.\nAnswer: -1380*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(637) + -2)*-6 + -4 - (sqrt(637) + -1 + sqrt(637) + -3 - -2*1*sqrt(637)))*4)**2*-4.\nAnswer: -4087616 + 116480*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -5*v**3 - 4*v**2 - 6*v + 8. List the prime factors of a(-4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 5*m = 6*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 + 0)*(-13*v**5 - 12*v**3 + 12*v**3).\nAnswer: -91*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 2*v = 5*v + 37, 3*i - 5*v - 36 = 0. Let w(b) = -19*b**3 - 7*b - 7. Let s(h) = -9*h**3 - 4*h - 4. Determine i*s(a) - 4*w(a).\nAnswer: 13*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7575 divided by -6?\nAnswer: -2525\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqsqsqqsqqqqq. What is prob of picking 2 q and 2 s?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77342166?\nAnswer: 2, 3, 11, 47, 8311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11904*g - 7 = 11898*g + s, 105 = -5*g - 5*s for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34*a*d**2*g*y + 29194*a*d**2*g + a*d*g*y + 15*a*d + 2*a*g*y + 5*a - d*y + 2*g*y + 3*y wrt d.\nAnswer: 68*a*g*y + 58388*a*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -4*y - 29. Let s be b(-8). Is 2 a factor of 4\/s - 2006\/(-102)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**5)**(2\/159))**(-8\/11)\/((t**2)**(-15))**(-6\/7) assuming t is positive.\nAnswer: t**(-105164\/4081)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 5 + f)*(-12*f + 2*f - 15*f).\nAnswer: -25*f**2 - 25*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 f when three letters picked without replacement from fyyyfyyyyyyfyyyyyyyy.\nAnswer: 34\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6456735 is divided by 61?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -7 + 6*t + 0*t + 0*t + t**2. Suppose -6 = -2*x, 0*q + 6 = -2*q - 2*x. Calculate f(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1201\/4 <= -300?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 0, 5, -19.\nAnswer: -23, -19, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(3600) - 4*(sqrt(3600)*1 - sqrt(3600)) - sqrt(3600)))\/(3*sqrt(10)\/sqrt(2) + sqrt(270)\/sqrt(6)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -365414*x + 730821*x - 365408*x. Let c(r) = -r. Let p(k) = 7*k. Let m(u) = 49*c(u) + 6*p(u). Calculate m(a(h)).\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3436528 to the nearest integer?\nAnswer: 1854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 9469, 76107, 257081, 609559, 1190709, 2057699, 3267697?\n\"Answer: 9528*s**3 - 58*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 15*x + 50. Let d be i(-9). Let v = d - -88. Solve 5*k = 3*p + 7 - 1, -4*p + 5*k - v = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -69*p + 740967 + 232761. Is 112 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-6))\/(108\/2592*(-2)\/2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 0.1, 0.03, -5\/241?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -1 (b) -9.81 (c) 0.22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is 1504.8438245 rounded to 0 dps?\nAnswer: 1505","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 215632545 to the power of 1\/2, to the nearest integer?\nAnswer: 14684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*o - 152 = 2*v - o, 3*v - 5 + 3 = 8*o - 2 + 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(171)*-2 + (1 + sqrt(684))**2) + (-3 + (sqrt(684))**2 - (4 + 0 + sqrt(19))))*6*-2*2.\nAnswer: 312*sqrt(19) + 16632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16102 * 0.325.\nAnswer: 5233.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + sqrt(5))**2*3*-6*-4*4.\nAnswer: 3456*sqrt(5) + 8064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-6)*m*m*m**(1\/9)*m*(m*m\/(m*m**(-1))*m)**(-2\/59))**44)**10 assuming m is positive.\nAnswer: m**(-698720\/531)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) + 4*(1 + sqrt(684)) + (sqrt(684) - -2*(sqrt(684) + 0 + sqrt(684))))**2*2.\nAnswer: 960*sqrt(19) + 136832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1040356 and -0.1098377.\nAnswer: -1040356.1098377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 1 (c) -0.1 (d) 119\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 568.\nAnswer: -1\/284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*u**2 + 45*u**2 - 19*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20260, 40519, 60778?\nAnswer: 81037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 564251 - 0?\nAnswer: 564251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of b**6\/120 + b**5\/5 + 7*b**4\/6 - 11*b**3\/6 + b**2 + 40. What is the remainder when 797 is divided by v(-7)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 3020 = -0*l. Let m be l\/(-10) - (-2)\/(-5). Calculate the highest common divisor of 40 and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 829610 to the power of 1\/3, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -15021738962 - -2\nAnswer: -15021738960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (4 - (-9 + 7)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 14) to base 16\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3 + 22728*m**2 + 995676*m + 10936464.\nAnswer: 3*(m + 22)**2*(m + 7532)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2309.\nAnswer: 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 20820218 a multiple of 191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 216?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of m**3\/3 - 3*m**2 - 20*m. Let h be i(4). Is -1 + (-4985)\/(-15) + h\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 862135087.\nAnswer: 11, 977, 80221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1557.218 rounded to the nearest ten?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -11*o + 7*o. Suppose -4*j + 32 = t, 2*t = 10 - o. What is the lowest common multiple of 11 and j?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 427813669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 81 in -4, 0, 5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*h - 832 = -29*h - 128 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l + 21. Let y be d(-15). Let h(m) = 2*m**2 - 10*m - 9. Let i be h(y). Suppose -i*f = -362 - 271. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 173*d = 290*d - 1284777. Calculate the highest common divisor of 139 and d.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 7*h - 2. Let q(o) = -2*o - 7 + 22*o + 1. Determine 17*k(p) - 6*q(p).\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-15)\/12)\/(-5) + (-8)\/32. Suppose 4*y = o + 25, -2*y + x*y = -2*o - 20. Suppose y*l = 6*l - 168. List the prime factors of l.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 z when four letters picked without replacement from nnunzzznuz.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -12751 (base 8) in base 13?\nAnswer: -2726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -1. Let z = 2.9 + 1.1. What is the biggest value in -1\/9, z, w?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203*i + 27281 = 39055 for i.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -978 or -977?\nAnswer: -978","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 2*o**2 - 2*o - 3. Let v be x(3). Let y = 0.6 + -0.1. Let c = y - 1. What is the closest to v in c, -1\/7, -3\/2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4*z**2. Let x(g) = g + 22. Let k(t) = -3*t - 44. Let q(o) = -4*k(o) - 9*x(o). Let b be q(8). Let y(i) = -5*i**b + 6*i**2 - 2*i**2. Determine n(y(l)).\nAnswer: 4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f - 4. Let t be w(0). Suppose 10 = 8*j - 3*j. What is the lowest common multiple of j and (-2 - t) + (-2)\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 62?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w**3 - 27*w**2 - 7*w + 8. Let p be u(10). Suppose -2*z + m = -p, 0 = -3*z - 2*m + m + 352. What is the remainder when z is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -4. Suppose 3*w + f = 3, 2*f = x + 5. Suppose -i = u - 15, w = 4*u - 4*i - 21 - 7. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*(-17)\/(-12))\/(-6*11\/264).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 67146735 at most as big as 67146734?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19323735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 s when two letters picked without replacement from wwkcrrs.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13856 + 13856.30156. Let o = -0.29 + l. Round o to 4 dps.\nAnswer: 0.0116","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 107 = -2*f - 3*f, f + 23 = p. Let v be (f - 1)*(-4)\/2. Suppose -2*t = -v - 6. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 67*15250\/28609*(-7)\/(-5).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-134)\/(-10) + 48\/(-120). Suppose -x*a + 2*a + 11 = 0. Let t(q) = 10*q - 1. Give t(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 110, 450, 1020, 1820?\n\"Answer: 115*n**2 - 5*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -4*s - 80, 0 = -4*j - 0*j - 5*s + 116. Let n = -53 + 105. Let b = -40 + n. What is the highest common factor of b and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1392?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -18 - 2. Suppose 2 - o = -j. What is the common denominator of 26\/11 and (-11)\/(-14)*j\/1?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 4*m**2 - m. Let f be o(-2). Let x be f\/4 + 2\/4. Let v(k) = -7*k**2 + 3*k - 4. Let u = 23 - 22. Let c(l) = l**2 - l + 1. Determine u*v(p) + x*c(p).\nAnswer: -2*p**2 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17 and -11.\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 - 7. What is the greatest common divisor of 121 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -257.59 - -260. Round o to 1 decimal place.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -7\/2 (c) 5 (d) -0.1 (e) 737\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 11*s**3 + 7*s**2 - 29*s + 239. What is the units digit of u(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*36\/(-750))\/(2\/5)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(80)\/sqrt(4))\/((sqrt(80)\/sqrt(4))\/sqrt(5)).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 161 - 1447\/9. Let i = -0.2 - -0.4. What is the closest to i in r, -2\/5, 0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k. Let q(l) = -l**2 + l - 1. Let o be q(1). Let j(w) = 4*w. What is o*j(v) - 3*c(v)?\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2114, -3904, -5694?\nAnswer: -7484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-160)\/260)\/((-4)\/2).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64 - (3 - 3) - (17 + (-6 - 5))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wk when two letters picked without replacement from {w: 4, k: 15}.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*i**2*m**3 - 187*i**2*m**2 - 2642*i**2 - 406175*m**3 wrt m.\nAnswer: -126*i**2 - 2437050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31367 - 31053. Solve -y*u = -320*u - 12 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6296*m + 6297*m + 10*m**2 - 4 - 33*m**2 - 13*m**2 - 11 to the form g + o*m**2 + d*m and give g.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101122112121221102 + 11?\nAnswer: -101122112121221021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u**2 + 21 - 56 + 24 - 515*u + 12 in the form x + f*u + h*u**2 and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 19509?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - b = -92. Let s = -9 + b. List the prime factors of s.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1644*c**3 - 1003*c**3 - 639*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (338780\/(-203268))\/((20\/138)\/(-2))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -597 + 602. Suppose i = 3*v, 0 = -j*v + 2*i + 2*i. Solve g + 4*k - 24 = v, -5*g + 4*k - 4 = -g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 459937?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -x - 4. Let s be (-2 + x - -6) + -2. List the prime factors of 26*s\/(-1 + 2).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8542 - 4599 + 19177 = 272*u for u.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3144b (base 13) to base 2.\nAnswer: -10101101000101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*l**3 + 2*l**4 + 21 - 27*l**3 + 104 to the form o*l + q*l**3 + j*l**4 + b + w*l**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8699, -8950, -9201, -9452, -9703, -9954?\n\"Answer: -251*m - 8448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 4. Suppose f - 6*f = r*w - 11, w + 4*f - 7 = 0. Suppose -2*h + 4 = -2. Solve -w*q + 3*b = 9, q + 4*b - 5 = -h for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-3)\/(k**(-5)\/k)*(k**(-1\/4)*k*k)**(-32) assuming k is positive.\nAnswer: k**(-53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1226 is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 0, 5, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2*h + 408, 602 = -h + 4*h + i. Let k be h\/95 + (-4 - -2). Let g = -299\/190 - k. Find the common denominator of -50\/9 and g.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -530*d**4 + 1458*d**2 wrt d?\nAnswer: -12720*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25051466, 25051548, 25051684, 25051874, 25052118, 25052416?\nAnswer: 25052768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + 51 - (2 + 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 690 and 4260?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41940 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6162, 6247, 6334, 6423, 6514, 6607?\nAnswer: 6702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 35*h**2 - 121*h - 632. Give x(-5).\nAnswer: 848","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c*c**(-7)))*c)\/(c\/(c*c*(c*c\/(c*c**9*c)*c)\/c*c)) assuming c is positive.\nAnswer: c**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m - m**5 + 0*m + (87*m**4 + 19*m**4 - 28*m**4)*(m - 2*m + 3*m) - 2455 + 8*m**5 + 2455.\nAnswer: 163*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 4*y**2 + 3*y + 25. Determine f(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -49*g**2 - g**3 - 8*g**2 - 1034*g + 12*g**2 - 15*g**2 + 3*g**3 + 1092.\nAnswer: 2*(g - 42)*(g - 1)*(g + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 815069307 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -60 - -7?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 0*i = 5*r - 17, -4*i = -5*r + 16. Let m = -0.1 + 0.1. Which is the third smallest value? (a) r (b) -4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ib when two letters picked without replacement from qibq.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 46 = 2*i. Calculate the remainder when i is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -2. Find o, given that 3*o + o**4 - 6*o**2 - 5*o - 6*o**3 - z*o**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5741300 rounded to the nearest 100000?\nAnswer: -5700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1300 and 592280?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2293 + 1640. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -0.2, -135?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15889 - 15888.9999970591. Round b to seven dps.\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5696722, 5, 3 in decreasing order.\nAnswer: 5696722, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -66081 take away -1?\nAnswer: -66080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zorrza. What is prob of sequence rro?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -1038*v + 28024. Give q(27).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a + 7. Give g(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 257, 423, 603, 803, 1029, 1287?\n\"Answer: l**3 + l**2 + 156*l + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 11*r - 77. Let x be v(10). Calculate the highest common factor of 275 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*p - 57 = 0, 102 = o + 3*o + 2*p. What is the greatest common divisor of 24 and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -9 - -3 - 5 - (67 + -75)) + 61.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence clbn when four letters picked without replacement from binjlcb?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + 135\/(-33) - (-46)\/22. Let z(q) = -q**3 - 6*q**2 + 7*q + 4. Let p be z(-7). Solve -p*j - m = 2, -4*b = -5*j + 15 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 362 is divided by 82.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + x - 3)*(-198 - 12*x + 198).\nAnswer: -12*x**2 + 24*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83912137*c - 183*c**3 - 83912137*c.\nAnswer: -183*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/(-119)*(-106)\/16 and -7\/164?\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6672918 divided by -49?\nAnswer: 136182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6210 - -6216. Let q(t) be the first derivative of -6*t - 2 - 1\/2*t**2. What is q(c)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**5*k)**(-9\/11)\/(k*k**(-2\/13)*k**(-1)) assuming k is positive.\nAnswer: k**(-680\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10755?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(432)\/(sqrt(60)\/(sqrt(30)\/sqrt(3))).\nAnswer: -36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -b**7\/14 + b**3\/3 - 2*b**2 + 2*b - 3. What is the second derivative of i(q) wrt q?\nAnswer: -60*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -6*x + 3*x. Let h = -3 + x. Solve 2 = -h*o - 2*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eett?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-447)\/1490*-10*1\/(-2).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 + 25*n - 180.\nAnswer: 5*(n - 4)*(n + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/4 of a gram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m - 0*u - u + 8, -2*u - 4 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(2\/5)*i)\/(i\/(i*i\/i**4)))\/(i**(-1)*i**(2\/9)) assuming i is positive.\nAnswer: i**(-28\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 32, -4.\nAnswer: -5, -4, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4797918 - -26631.\nAnswer: -4771287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 15, -5*d - 2*b + 10445 = -0*d. Let x = -1480 + d. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4681?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m - 12. Let n = 47 - 56. Let r = 1 + n. Calculate q(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15 + (-5 - 8) - 2) + 16\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-25)\/(-2)*(-4)\/30*(-11 - 22). Let u = 141 + -97. What is the highest common factor of u and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2911777769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3\/7)\/m)**(-46)\/(((m**19*m)\/m)\/(m\/(m\/(m*m**(-18\/7))))) assuming m is positive.\nAnswer: m**(316\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 11:25 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t - 5*t - t)*(-2 - 3 + 3)*((4 - 4 + 5)*(-2 + 0 + 0) - 2 - 1 + 1).\nAnswer: -72*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 263 divide 101518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1*sqrt(243)*-2 - sqrt(243) - (sqrt(243)*-1 + sqrt(243) - sqrt(243))*3)\/(sqrt(1089) - sqrt(1089)*-2*4).\nAnswer: -3 + 4*sqrt(3)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-2) - 35\/14. What is the biggest value in p, -1\/5, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 11. Let i(y) = -y - 1. Let s(k) = a(k) + 4*i(k). Find the first derivative of s(g) wrt g.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 497, 493, 487, 479?\n\"Answer: -u**2 - u + 499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68006799 and 504?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 2:43 AM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -6*q**3\/7 - 328*q**2\/7 - 214*q\/7 + 108\/7 = 0.\nAnswer: -54, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217065673?\nAnswer: 11, 17, 71, 16349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26766142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -111*l**2 + 12*l + 20. Let s(x) = 111*x**2 - 15*x - 26. What is 3*s(r) + 4*z(r)?\nAnswer: -111*r**2 + 3*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 573587807?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 1 + 2*k**2 + 3*k + 4 + 1 - k**2. Let m be v(-4). Let s(r) = 3*r**2 - 7*r - 3. Let f(c) = -3*c - 4 + c**2 + 3 + 0. Determine m*f(u) - 4*s(u).\nAnswer: -2*u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 2*i**2 + 4. Let r(b) = b**3 + 3*b**2 - 4. Let l(p) = 3*n(p) + 2*r(p). Let t(m) be the first derivative of l(m). Calculate t(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2963137949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3608 + 6642. What is the highest common factor of 74 and s?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 38 from 4778.4899816.\nAnswer: 4740.4899816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 10:26 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00036480788 rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101100100010 (base 2) to base 16.\nAnswer: -b22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 14*r + 25 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) 3 (c) -2\/3 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23449\/4 + -8 + (-186)\/(-24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(1\/3))\/h)\/(h\/h**5)*h\/(h*(((h*h**(-2\/15))\/h)\/h*h)\/h*h)*(h\/((h*h*h**(-2\/5)*h)\/h))\/h assuming h is positive.\nAnswer: h**(11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -88 + 90. Solve -11 = -s*f - 1 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -982633 divided by 8.\nAnswer: -982633\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*f + 82*f - 2*g - 1664 = 0, f - 3*g = 421. Calculate the remainder when f is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14487 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 31*y**2 - 3*y - 27. Let x be v(-4). What is the greatest common factor of x and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -209, 0.5, -5 in decreasing order.\nAnswer: 0.5, -5, -209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 6:32 AM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.4 - -3.4. Let h = r + -1. Which is the third biggest value? (a) 3\/8 (b) h (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + 3*y - 7*y)*(0*y - y - y)*(0 - 3 + 1)*(-4*y + 3*y**3 + 4*y).\nAnswer: -12*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*z + 12*z + 21*z)*(24 - 5*z - 22 + 3*z + 8*z**2).\nAnswer: 184*z**3 - 46*z**2 + 46*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 6:33 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -j**7\/70 - 5*j**6\/4 - 2*j**2 - 350. Factor v(i).\nAnswer: -3*i**3*(i + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 5) to base 14\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(49)\/sqrt(7)*6 - (sqrt(7) + -2*sqrt(14)\/sqrt(2)))*6)**2.\nAnswer: 12348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (46\/184 - 9\/(-4))\/(-1 + 200\/208).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135221800 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 5)*(0 - h + 0) + 3 - 5 + 2*h - 2.\nAnswer: 5*h - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 306411 at most 989?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -8*2\/(-8) - 7. Let z = 33 + s. Calculate the least common multiple of 63 and z.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jjjjjjjyjjjjjjyyjj.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z + 90 = 285*m - 289*m, -3*m = z + 25 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -l**5 - 4*l**2 + 7. What is the second derivative of h(b) wrt b?\nAnswer: -60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000006638 to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*x**2 - 107\/4*x + 0.\nAnswer: x*(x - 107)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-48)\/(-40)*(-5)\/(-2). Let w(i) be the first derivative of -3 - 18\/5*i - 2\/15*i**r - 6\/5*i**2. Solve w(p) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7644 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 143 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180 divided by 4.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1*13\/(91\/(-7))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0646 + 0.1451. Let r = 0.5805 - l. Which is the smallest value? (a) -0.2 (b) -2\/7 (c) r (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29126591597 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3596 - -4033. Solve -20*t - j = -517 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(-7\/5))\/l**(-2\/21))\/((l**0*l)\/l)**(-6))\/(((l**3*l)\/(l**9*l))\/(l**(2\/19)\/((l\/l**(3\/5))\/l))) assuming l is positive.\nAnswer: l**(3671\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + sqrt(252)*2 + sqrt(7) - ((sqrt(84)*2)\/sqrt(12) + sqrt(7)).\nAnswer: 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 39*n**2 - 98*n - 45. Determine r(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of 1\/12*f**5 + 8*f**2 - 1\/21*f**7 + 0 + 0*f**3 + 0*f**6 + 0*f**4 + 0*f. Find the third derivative of p(n) wrt n.\nAnswer: -240*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/3 and 4\/7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.23 greater than 1\/59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 87454 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - 3*x + 3*x**2)*(14 - 3*x - 14) + 3*x - 3*x + x**3.\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a week in seconds?\nAnswer: 80640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 2\/3 (c) 2 (d) 53 (e) 3.9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence smf when three letters picked without replacement from {f: 1, s: 12, m: 5}.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 225*w - 658. Let d be v(3). Calculate the highest common factor of d and 1076.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -340*s - 1333 = 84*s - 393*s for s.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5285149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 9252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3230653 (base 7) to base 16.\nAnswer: -60370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3381?\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 - ((-3 - 0) + 2) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j - 3. Let i(m) = -9*m - 123. Let y(q) = 3*i(q) - 18*v(q). Let b be y(52). Let t = -11 + 113. Calculate the highest common factor of t and b.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w + 6. Let j(u) be the second derivative of u**4\/12 - 71*u. Determine g(j(d)).\nAnswer: 2*d**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 76859222*b**5 + 2020*b**2 + 9*b + 6 wrt b?\nAnswer: 4611553320*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2160546924.\nAnswer: 2, 3, 19, 191, 49613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 6*m - 2*o - 21 = 0, 7*m - 3*o = 32 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -168899, -675556, -1519985, -2702186, -4222159, -6079904, -8275421?\nAnswer: -10808710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, i: 5, d: 8}. Give prob of sequence yddd.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 11*u + 52. Let f be t(-5). Sort f, 3, -11, 4 in ascending order.\nAnswer: -11, f, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6888676.\nAnswer: 2, 1231, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66201, -66252, -66303, -66354, -66405?\nAnswer: -66456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 140 divided by 35\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(637)*1)**2.\nAnswer: 639","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1326197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(-515)\/103*1\/(-1 - 2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.535 minus -119404042.5?\nAnswer: 119404041.965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 23827\/1143 smaller than 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 891?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 8*c - 9. Let q be d(-9). Suppose q = -2*u + 273 - 15. Does 39 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 2 k, and 1 s when four letters picked without replacement from {t: 1, z: 4, s: 6, k: 5, f: 3, n: 1}?\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 19 = 4*s, 0 = 4*h + 4*s - 1204. List the prime factors of h.\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jyahlhkaklajhh. Give prob of picking 1 k and 1 a.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 243907 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -12415 (base 10) in base 8?\nAnswer: -30177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 1. Let r(t) = t - 4. Let p(g) = -r(g) - 2*v(g). Let n be p(-4). Solve -d + n = -4*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 2278733.31 minutes?\nAnswer: 226.0648125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20.28 - 20.38. Let i = 19 - 15.6. Let w = 0.6 + i. Which is the second biggest value? (a) w (b) 0.5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/((-5)\/(55\/242)). Let s be 7\/3 + 1\/(-3). Which is the nearest to 0.2? (a) -3\/8 (b) s (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36 + -19. Let f(t) = 21*t - t**2 - 19*t - 13*t - l. Calculate the remainder when 11 is divided by f(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-25*w**4 - 29*w**4 - 68*w**4)*(1 - 1 + 6)*(-4 - 13 + 3) as l + t*w + k*w**2 + o*w**4 + a*w**3 and give o.\nAnswer: 10248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of u**3\/6 + 2*u - 56. Let f(s) = 4*s**2 + 17*s. Give r(f(v)).\nAnswer: 4*v**2 + 17*v","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -330 + -1132210100121?\nAnswer: -1132210101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3 - 5527515*q**2 + 1527436157280*q + 129872012735300.\nAnswer: 5*(q - 552794)**2*(q + 85)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56 + -44. What is the smallest common multiple of 18 and j?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4701\/244 - -1160\/61. What is the third smallest value in -3.9, x, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/3 - 585*g**2 + 1171*g - 1757\/3.\nAnswer: -(g - 1)**2*(g + 1757)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, j: 5, w: 7, f: 3}. Give prob of sequence jjj.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*b**2*p**2 - 9951925*b**2*p + b**2 - 3*b*p**2 + b + 32201023*p wrt b.\nAnswer: 6*p**2 - 19903850*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 5:30 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 532842 to the power of 1\/2, to the nearest integer?\nAnswer: 730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 63980000 to the nearest 1000000.\nAnswer: 64000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 21*w**2 - 13*w - 6. Let r(d) = -42*d**2 + 27*d + 10. Let y(p) = -5*i(p) - 3*r(p). What is the second derivative of y(q) wrt q?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7058\/7 - 1008. Let q = 0.058 + 0.042. What is the third smallest value in s, -4, q?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -2. Suppose -r*w + w = 0. Let j(o) = -o**3 - o**2 - o - 5. Let n be j(w). Is -5 at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 317532, 317537, 317546, 317559, 317576, 317597?\nAnswer: 317622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 105*u + 5984. What is w(146)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12060, -12076, -12096, -12120, -12148, -12180?\nAnswer: -12216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2135053, -4270113, -6405177, -8540245, -10675317?\nAnswer: -12810393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5579735.89999982 + 5579736. Let t = 0.3 + -0.2. Let x = t - w. What is x rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5679122411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 7335.19 weeks?\nAnswer: 51346.33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n = 12 - 265. Let j = 41 + n. What is the remainder when 111 is divided by j?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -6*x**3 - 26*x**2 + 34*x + 4. Is o(-15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -y**6\/45 + 11*y**5\/15 - 16*y**4\/3 - 32*y**3 + 1942*y. Suppose c(x) = 0. Calculate x.\nAnswer: -2, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 552?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4\/4 - 175307*r**3\/4 - 10243947663*r**2\/4 - 199514537463825*r\/4 + 199555516059453.\nAnswer: -(r - 4)*(r + 58437)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 453*r = 2587*r + 4268 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oob when three letters picked without replacement from obootommp.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7184752?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10.5 + 3.5. Let m = 20 - j. Let i = 5.999994 - m. Round i to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k*k**10))*k*k\/((k*(k*k**(9\/4))\/k)\/k*k))**(-39) assuming k is positive.\nAnswer: k**(-1521\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03385 in 8\/21, -3, -1\/7, -32?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -73 + 75 - (5 - 21).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 140 - 138. Suppose -p*t + 76 = 2*c, 4*t - c - 131 = 6. Is 35 equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a centimeter in micrometers?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - d = -42, 4*d - 1 = -2*h - 31. Let n be 2 + (-6)\/h*-6. What is the third smallest value in 1\/5, -0.4, n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/5)\/((-6)\/10)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nmwmsmms. Give prob of picking 1 n and 1 m.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/17 (b) 0 (c) 7\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - 0 - (-3)\/(-2). Let d be (6\/2)\/(108\/32). Let f = -70\/99 + d. What is the third biggest value in -0.3, q, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 7:59 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aot when three letters picked without replacement from sstohta?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224*c - 147*c - 3096 = 249*c for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1590430?\nAnswer: 2, 5, 89, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-1 + 8 + -7 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 520467691 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*g**3 - 102*g + 102*g)*(-2*g**2 + 1 - 1 + (6*g + 0*g + 5*g)*(4*g + 0*g + 0*g)).\nAnswer: 294*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7697425 and 2129075.\nAnswer: 100066525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -9*w - 1. Let x = 1 + -2. What is the remainder when y(x) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5325679 is divided by 1686.\nAnswer: 1291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) 0 (c) 1 (d) -0.4 (e) -51\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 4\/3)*-18. Let d be 245\/(-30) - (-2)\/12. Let t = d - u. What is the lowest common multiple of t and 20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in thirteen eighths of a week?\nAnswer: 273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 278925677.\nAnswer: 278925677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 divided by -5?\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of 1\/6*g**3 - 1 + 0*g - 1\/4*g**2 - 1\/10*g**5 + 1\/8*g**4. Factor s(l).\nAnswer: -l*(l - 1)**2*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/((-33)\/66*2\/1)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 171, 0, -1\/4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -12*n**3 - 16*n**3 + 1 + 20*n**3 + 13*n**2. What is the second derivative of z(m) wrt m?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298.94 rounded to the nearest 10?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 328838 to the power of 1\/2, to the nearest integer?\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 3*z + 4*p + 1354, 4*p - 647 = -z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34014205 (base 6) to base 2\nAnswer: 11111011001000111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -25, -7, 21, 65, 131, 225?\n\"Answer: d**3 - d**2 + 14*d - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*x**3 - 25*x**3 - 15*x**3 - 33*x**3 - 68*x**3 + 0*x**3.\nAnswer: -150*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 5*a = 184, -2*o + a - 86 = 2*a. Suppose -6*l = l - 434. Let t = l + o. What is the least common multiple of t and 1?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080819007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 36 + 2 = 0. Let i be ((-18)\/(-8))\/((-2)\/(-32)). Let f = p + i. Is f a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 6*h**2 + 6*h - 1. What is s(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 1641*v. Let d(c) = -c**2. Give d(i(p)).\nAnswer: -2692881*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-60)\/(-14))\/(40\/(-35) + 1). Let k = 30 + v. Let d = -0.2 - 0. What is the closest to k in -3\/4, d, 2\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6705667812 to the power of 1\/7, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 i, and 1 h when three letters picked without replacement from {j: 2, h: 3, i: 10, x: 1, k: 3}.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45 and 243.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -71*k**2 + 6*k + 6. Let c be h(-1). Is c >= -71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 0 - (-3 - (-4 - -1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 41440 and 140?\nAnswer: 41440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.56 + -0.06. Let g = c - 4.5. Let x = 42 + -44. Which is greater: x or g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 49.2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-252)\/(-616))\/((-192)\/(-352)))\/((-3)\/364).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -495887 * 8\nAnswer: -3967096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 + 3. Let j be z(-3). Suppose 3*t - j = -t. Solve t*r - 6 = 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 3*n - 16 = 0, -4 = 2*v - 7*n + 3*n. Let h(b) = -3 - v*b - 3*b + 4*b. What is the units digit of h(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i**(1\/14)\/i*i))\/i)\/(i*i**(-1)))**(-29)\/(((i**(1\/3)*i)\/i*i)**(-33)\/(i\/((i*i**1\/i)\/i))**(3\/5)) assuming i is positive.\nAnswer: i**(3267\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 168896.\nAnswer: 506688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 21*p + 42. Let z be b(8). Let a = z + -210. Solve 0 = -3*g - a*g - 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -13, -912, 54\/11?\nAnswer: -912","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3*n**2 - 3. Let c be x(-4). Let g = c + -19. What are the prime factors of g?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -249 = 11379\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 30*u**2. Let g(l) = -5*l. What is z(g(p))?\nAnswer: 750*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 divided by 205?\nAnswer: 289\/205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43693*v**5 - 86*v**4 + 20061250*v?\nAnswer: 873860*v**3 - 1032*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -8*j**2 - j + 14. Let x(q) = -1. Let d(v) = -k(v) - 2*x(v). Let m(s) = -4*s**2 + 6. Let c(y) = 2*d(y) + 5*m(y). Find w, given that c(w) = 0.\nAnswer: -1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -4 + 6 + -4 + 4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - -15.9. Let k = 2 - m. Is -2\/7 less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 252*n = 1147*n + 24165 for n.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24\/28 + (-285971)\/(-49) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0\/(-10) + 8)\/2. Sort n, 48, -4 in decreasing order.\nAnswer: 48, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*n + 20 = 2*n, -2*i - 10 = -2*n. Suppose 3*u + 2*u - 135 = i. Round u to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17958 (base 14) in base 7?\nAnswer: 335241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -121 - -161. Suppose 4*a - l = 2*a. What is the smallest common multiple of 22 and a?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus 6006936002.2?\nAnswer: 6006935997.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of p**7\/3780 + p**6\/1080 + p**4\/6 + 11*p**2. Let c(j) be the second derivative of i(j). Find q, given that c(q) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 695.4059 + -0.4059. Which is greater: -6 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h - 10*h = -5*q - 33, 4*q = 5*h - 30 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 125 + -5?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 1 - 1)*((d + 0*d + d)*(-3 - 1 + 3) + (0*d + 0*d - 4*d)*(0 + 3 - 2) + d - 2*d + 0*d).\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n + 2. Let a(l) = -2 + 1 - l + 1 - 1. Let f(q) = 17*a(q) + 6*y(q). Let c be f(10). Solve 5*r + 0*r - z = 8, c*z - 8 = r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-6 - (-3 + 2))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -6*q - 124. Let x(a) = -7*a - 155. Let i(d) = 5*n(d) - 4*x(d). Let p(y) = -2722*y**2. Determine p(i(b)).\nAnswer: -10888*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*i**2 + 13*i**2 + 4*i**2)*(-49*i + 211 - 52*i + 102*i) to z*i + x*i**2 + o*i**3 + r and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (25 + -24 + 16)) + (6 - 7 - -88)\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 12, m: 3}.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -1. Let x = c - 8. What is the first derivative of 3*g - 2*g + 1 - x*g wrt g?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -0*c - 90. Is 6 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 57*o + 223. What is w(51)?\nAnswer: 529","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 8:02 AM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 4*j**2 + 6*j + 1. Suppose 0 = 3*m + 25 - 34. Let k be w(m). Calculate the highest common divisor of k and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - 8. What is the least common multiple of (-6 - 140\/(-15))*(-3)\/(-2) and h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -183*p**2 + 79*p**4 - 3*p + 3*p + 9*p**4 wrt p.\nAnswer: 2112*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (90\/120)\/(3\/(-8)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 - -23. Suppose 2*p = -p - m. What is the closest to p in -0.4, 2, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nc when two letters picked without replacement from ncnnnnnnncncncnnncn?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 2\/1)*1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 13.9, 1\/5, -4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -602103 - 36?\nAnswer: -602139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2cb - -56?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 821*c + 900.\nAnswer: 821","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -21923000 to the nearest 1000000.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of r**6\/120 - 13*r**5\/30 - r**4\/12 + 28*r**3\/3 + 2*r**2 - r. Let n be u(26). Solve -4*x + 0 = -a - 1, n*x + 4 = -4*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 25*x**2 - x + 1. Let z be f(2). Suppose -3 = -6*r + z. What is the remainder when 49 is divided by r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148465 is divided by 74232.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 25*v**2 + 25*v - 8. Let h(m) = 13*m**2 + 12*m - 4. Determine 9*h(c) - 5*o(c).\nAnswer: -8*c**2 - 17*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(36\/20)\/(12\/40). Let t be 8\/6 + 2\/(-6). Let c be t*6*1\/2. Solve -2*g + c*f + 4 + 3 = 0, 3*g - q = 3*f for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -125 + 126. Suppose -4*p = -2 - 2. Let i = w + p. Solve -3*q + i*q = 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 6:17 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 9:39 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 204243 and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 + 995 = 4*b. Let f = -117 + b. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + -1)\/(52\/(-8)). Let o = -414\/2035 - -4\/185. Put 1, o, l in decreasing order.\nAnswer: 1, l, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of 2*u**3\/15 + 83*u**2 + 828*u\/5 + 3387. Factor h(o).\nAnswer: 2*(o + 1)*(o + 414)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of 4\/35*z**7 + 0 + 0*z**6 + 1\/30*z**5 + 0*z**4 - 11*z**2 + 0*z + 0*z**3. What is the third derivative of y(l) wrt l?\nAnswer: 576*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2466.895g in nanograms?\nAnswer: 2466895000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -49*b**6 + 11*b**4 - 2*b**3 + 9818*b**2.\nAnswer: -5880*b**3 + 264*b - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (258\/117)\/(-1) + 2. Let d = 398.0152 - 398. Let v = 0.4848 + d. Which is the third biggest value? (a) -0.2 (b) l (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -106204\/225 less than -471?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 6*x = 4*x + 18, -5*x = -20. Let l(k) = 10*k**y + 80 - 39 - 41. Let s(u) = 2*u**2. Give s(l(h)).\nAnswer: 200*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -13531 != -12918?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7297?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(24\/(-10)))\/((-1)\/(-2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of 0*q**2 - 2*q + 0*q**3 + 0 - 1\/6*q**4. Let m(u) = -3*u. What is y(m(r))?\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qie when three letters picked without replacement from reqrriror?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1198, 2465, 3734, 5005, 6278, 7553?\nAnswer: 8830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3041 (base 11) in base 12?\nAnswer: 2406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 13*t - 8*t - 4*t + 3*t. Let n(f) = -2*f + 3*f + f. Calculate n(j(h)).\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 522*o**4 + 2749 - o + 0*o**2 - 1036*o**4 + 0*o**2 + 511*o**4 to r*o**3 + p*o**2 + c + y*o**4 + h*o and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -51 (b) -5 (c) 2\/7 (d) -2\/11 (e) 33 (f) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/7 or -5343242?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 251*o + 643. Let a(b) = 250*b + 634. Let n(c) = 7*a(c) - 6*m(c). Differentiate n(t) with respect to t.\nAnswer: 244","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 18513, 18489, 18449, 18393?\n\"Answer: -8*t**2 + 18521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.46 - 0.46. Let m = 4 + j. What is the biggest value in -0.4, m, -3\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.06 + -2.94. Let h = 50 + -171. Let t = 113 + h. Which is the second biggest value? (a) t (b) q (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 282 = -2*z, -n - 373 = -3*z + 3*n. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 4, 0.3, 27\/1438, 2\/23, 7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.921 + 4.73. Let k = 0.011 - v. Round k to 2 dps.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1619, -1481, -1107, -377, 829?\nAnswer: 2631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/7 (b) 3\/5 (c) 1.48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0058672566 rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 5 = -0*j - f, j = f + 1. Let y be 69\/15 - j\/5. Solve 19 = -3*q - 0*x + y*x, -5*q + 25 = 3*x for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130284 a multiple of 1641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2171 - -2171. Is z less than or equal to 5\/954?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + a + 3*b - 113 = 0, -5*a - 3*b = -278. Suppose a = 5*q - 45. Calculate the lowest common multiple of 6 and q.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1.2126, 1, -2?\nAnswer: 1.2126","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3142083 divided by 1047361?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/84 and 137\/60.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 248, 200, 1, 2, -1 in increasing order.\nAnswer: -4, -1, 1, 2, 200, 248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -80*w**7\/21 - w**4\/4 + 17*w**3\/6 - 134*w. What is the third derivative of m(z) wrt z?\nAnswer: -9600*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12508 a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/3*y**3 - 2\/3*y**4 - 1\/2*y + 0 + 1\/6*y**5 + 2\/3*y**2 = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -53*w + 32*w + 504. Put 5, -0.7, w in ascending order.\nAnswer: -0.7, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 4, -308, 1, -13.\nAnswer: -308, -13, -5, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*g**4 + 22*g**3 - 113*g**2 + 393218*g - 2.\nAnswer: -132*g**2 + 132*g - 226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/128)\/((-6)\/(-24))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.3, 4, 2\/3, 0.29, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1713 - -1711 - 19*-1.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-15)*-10*1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.14 - 11.13. What is r rounded to zero dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 357511 to the nearest integer?\nAnswer: 598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(25\/(-30)))\/(117\/(-104))*(-27)\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3608401 and -0.5.\nAnswer: 1804200.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 841*x + 143. Let b(l) = -841*l - 143. Let v(r) = 5*b(r) + 6*g(r). What is the derivative of v(y) wrt y?\nAnswer: 841","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 - (-100 - -43) - (-3636)\/182?\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -104*c - 1. Let p(q) be the first derivative of -5*q**3\/3 - 3970. Give g(p(r)).\nAnswer: 520*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-10030)\/(-118))\/510)\/((-5)\/2610)?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, y: 1, k: 1}. Give prob of sequence kddy.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 60\/38*156\/816 - (-10)\/(-85). Let d(j) be the second derivative of 16\/57*j**3 + 0 - 12*j + m*j**4 + 4\/19*j**2 + 9\/190*j**5. Factor d(p).\nAnswer: 2*(p + 1)*(3*p + 2)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*a - 23. Suppose -c - 4*c - 10 = 0. Let y be ((-5)\/10)\/(c\/(-8)). Sort 1, y, a in increasing order.\nAnswer: y, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1459*r - 786*r - 112*r - 1907*r to t + z*r and give z.\nAnswer: -4264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 8*k - 5432*k**2 + 2711*k**2 + 2719*k**2 + 8. Give h(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (6 - (0 + -1)) + 0\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2008150?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 357622.\nAnswer: 2, 163, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64150321 (base 7) to base 6.\nAnswer: 312341004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 11*w**2 - 6*w - 17. Let y be z(9). Suppose -5*n + 786 = y. Let k = 195 - n. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) 0.3 (b) -3 (c) -1202\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g\/(g*g\/(g\/(g**(-1\/9)\/g))*g))\/(g**(-21)*g))\/(g**(-1\/41)\/g**(2\/19)) assuming g is positive.\nAnswer: g**(155930\/7011)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**0*(a*(a*(a\/((a**(-3\/4)*a)\/a))\/a)\/a)\/a)\/(a*a\/a**2)**0*(a**(-3\/2)\/(a**(-3)*a))\/(a**(-2\/13)\/(a*a*a**(-6\/5)*a)) assuming a is positive.\nAnswer: a**(1093\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.05 + 1.95. Let j = 938.1 - 938. Let s = -140 + 140. Which is the nearest to u? (a) s (b) -0.2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31600316 (base 7) to base 3.\nAnswer: -12001121222222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/3 (b) 1.4 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -4*f**2. Let a(l) = -6*l**2 - 3*l + 3. Let o(w) = 7*w**2 + 2*w - 2. Let j(p) = 2*a(p) + 3*o(p). What is j(i(n))?\nAnswer: 144*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*v + 324088*v**2 - 324089*v**2 + 34*v + 36*v - 110*v.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + q**2 + q + 1. Let l be x(-1). Suppose -f + 12 = l*f. What is the first derivative of 2 + f*s**3 + 0*s**3 - 3*s**3 wrt s?\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3539465, -7078927, -10618389, -14157851, -17697313?\nAnswer: -21236775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0627 minus -0.0211858?\nAnswer: -0.0415142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 15423 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 6*o**2 - 6*o - 5. Suppose 0*b + 4*s - 97 = -3*b, 0 = -4*b - s + 138. Let g be (-41)\/7 - 5\/b. Is t(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 48\/28 - (-4)\/14. Let l(k) be the first derivative of 2*k**3 - 3*k**2\/2 + 3*k - 20. Does 7 divide l(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 6056 = -2*v, -4*v + 7691 = -4*m - 4417. Is v a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 909*v**2 - 1708 + 908*v**2 + 1708.\nAnswer: 1817*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 0*l + 0*l - 6300000 - l + 0*l. Let n be j(0). Round n to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h + 2. Let z be 3 + (-3 - -2)\/((-4)\/32). Let f(k) = -16*k - 11. What is z*u(r) + 2*f(r)?\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/((190\/(-200))\/19). Solve 9*d - 13*d - w = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 239384598?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1416 by 222.\nAnswer: 236\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41752 is divided by 971.\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 289*l**2 - 4122*l - 3208. Calculate b(-274).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31674389261*d + 63348778526*d - 31674389256*d.\nAnswer: 9*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9b580 (base 12) to base 13.\nAnswer: 72c78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*r - 11*r = -105. Suppose -3*z = -4*z + 5, 2*m - 5 = -r*z. Suppose -2*b - 4 = -0. Put b, m, 4 in descending order.\nAnswer: 4, b, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + -3 - (-19 + 19)) + 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -482 - -494. Solve 2*z = t - 16 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 7834, 1\/4 in ascending order.\nAnswer: 0, 1\/4, 7834","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of 0 - 1\/48*x**6 + 605\/3*x**3 + 0*x - 15*x**2 - 43\/24*x**5 - 275\/6*x**4. Factor o(i).\nAnswer: -5*(i - 1)*(i + 22)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + 41)\/(-3)*(1 - 2). Let d(p) = 9*p - 29*p - q*p**2 + 11 + 3*p. Let c(s) = 5*s**2 + 6*s - 4. Let g(k) = -11*c(k) - 4*d(k). Give g(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from xxxpppxxpxpxxxxx.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42513?\nAnswer: 3, 37, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 2:02 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 41 - 12*h - 38 - 16*h**2 + 6*h**2 + (0*h + 0*h - h)*(3*h - 3*h + h) + h - 2*h**2 - h.\nAnswer: -13*h**2 - 12*h + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 322.2 - 276. Let l = -46 + n. What is the smallest value in -1\/6, 8\/9, l?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*1*sqrt(567).\nAnswer: -27*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33 + 45 - 12 - 435*y to the form c + a*y and give a.\nAnswer: -435","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate x**2 + 10 + 11 + 22*x**2 wrt x.\nAnswer: 46*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 319 a factor of 99132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 797fd8 + cb?\nAnswer: 7980a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1596818 divided by 6.\nAnswer: 798409\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -119\/26 + 1426\/117. Let m = 25140261\/158 + -159115. What is the common denominator of m and n?\nAnswer: 1422","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104948482 take away -0.338?\nAnswer: -104948481.662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66958960?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4 - 1400*h**3 - 488598*h**2 + 981400*h - 491401.\nAnswer: -(h - 1)**2*(h + 701)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7666727191?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -8682, -282 in descending order.\nAnswer: 2, -282, -8682","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/4 of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 26*t + 23*t - 70*t - 62*t**2 + 22*t + 61*t**2. Let l(i) be the third derivative of i**5\/60 - i**4\/6 - 2*i**2. Determine 4*b(x) + l(x).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -1 - 7. Let b(x) = -x**2 + 2*x + 12. Let g be b(m). Let f be (-235)\/(-450) + ((-16)\/18)\/g. Is 1 not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -0.01552?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 353159 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1.6*-9.56\nAnswer: 15.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvf when three letters picked without replacement from vvvvvvfvvvvvvfvvvvvv?\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 7264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 19 = -5*v, 0 = -5*m + 3*m - 5*v - 49. Let w = -15 - m. Solve -w*o + 5 = -3*z, -3*o = -5*z - 2 - 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000014067 to 7 decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.224 less than -1163553242?\nAnswer: -1163553243.224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -846230, -1692466, -2538704, -3384944, -4231186, -5077430?\nAnswer: -5923676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 272355.\nAnswer: 3, 5, 67, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -0.18, -0.6, 5, 0.1 in descending order.\nAnswer: 5, 0.1, -0.18, -0.6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-1\/4)*q)\/q)\/q**(-1\/7))**40 assuming q is positive.\nAnswer: q**(-30\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 4*l**2 - 4*l. Let m be s(-3). Let q be m\/12 + (-46)\/(-8). Solve b + q - 2 = 3*u, 0 = 5*b + 2*u - 14 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 1 = -0*b - 3*b, y + 5*b = 13 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -685 + 5?\nAnswer: -680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12387 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*r + 100*r + 17*r)*(-3 + 3*r - 2*r + 0*r)*(4 - 3 - 4)*(-3 + 0 + 5).\nAnswer: -486*r**2 + 1458*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91.54808 millimeters to meters.\nAnswer: 0.09154808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-238)\/(-20) + 4\/(-8) and -48\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/2 (b) -0.5 (c) -22 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + z + z + (-2 - 2 + 5)*(-8 + 3*z + 8))*(3 + 7 + 7).\nAnswer: 34*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -15. Which is the third biggest value? (a) 1\/5 (b) g (c) 2\/3 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + -1)\/((-16)\/(-16120)*-1). Let j = t - 904. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -178*x. Let z(i) = -15*i**2. What is z(s(k))?\nAnswer: -475260*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - 17 + 3 = 0. Let k be ((-8)\/(-24))\/(t\/(-6)). What is the greatest common factor of k and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1217 by 5904.\nAnswer: -1217\/5904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 18 - 8 - (22 + -3) - 10\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/3975 and -113\/1332.\nAnswer: 1764900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 155\/(-341)*(5 + (-260)\/8) + -9?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 4. Suppose -x*z + z + 12 = 0. Suppose 29 = d + 4*o - 2*o, -z*d = -o - 71. What are the prime factors of d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (892 - 892 - 572*l)*((-2*l**2 + l**2 - l**2)*(5*l - 3*l - 3*l) + 5*l**3 + 0*l**3 + 0*l - 2*l).\nAnswer: -4004*l**4 + 1144*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38138, -154197, -348180, -620087, -969918, -1397673?\nAnswer: -1903352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -16439, -16904, -18171, -20642, -24719, -30804, -39299, -50606?\n\"Answer: -67*k**3 + k**2 + k - 16374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.5 + -0.5. Let z = j - 3.9. Let n be -3 + ((-3)\/(-3) - -2). Is z at most as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-92)\/(-3) + 2\/(-3). Let d = -15 + l. What is the second derivative of 2*k + d*k**4 - 5*k**4 - k wrt k?\nAnswer: 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49 - -56. Suppose -a + v = -5. Does 17 divide (a\/18)\/(4\/708)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1801367, -1801218, -1801069, -1800920?\n\"Answer: 149*v - 1801516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -4*v**3 - 26*v**2 + 6*v - 22. Let g be p(-7). What is the greatest common divisor of g and 646?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -c**7\/105 - c**6\/15 - 3*c**5\/25 - c + 56. Factor p(h).\nAnswer: -2*h**3*(h + 2)*(h + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*1)\/(154\/(-44) + 3).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 10:48 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70)\/49*(-42)\/12.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 93, 111, 129, 147, 165, 183?\nAnswer: 201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*p + 6 - 54 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + c + 76 = 0. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/7*b**2 - 83\/7 - 12*b = 0. Calculate b.\nAnswer: -83, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-14) + 132\/(-21). Let y be (-4)\/c - (-10)\/3. Solve -4 = y*h - q - 3, -15 = -3*q for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1053)*-2 - (sqrt(13) + -1)*4.\nAnswer: -22*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -79*k**2\/2 + 11*k + 7. Let r be x(-5). What is the remainder when r\/16 - (-21)\/(-56) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4325 + -4320. Solve -2*g + 20 = -4*y + 2*g, 0 = x*y - 4*g + 22 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -301 - 1517?\nAnswer: -1818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3 + 1 - s + 1 + 3*s**2 - 6. Let u = -31 - -30. Calculate k(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 24*p = -28*p - 3290, 2*i - p = 3302. Is 19 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -56 (b) 1\/3 (c) 1722\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4837*t**2 + 7295*t**2 - 2068*t**2.\nAnswer: 10064*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j + 1752905*j**2 + 2*j - 1752723*j**2.\nAnswer: 182*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, n: 3, k: 1, i: 1, o: 1}. Give prob of picking 3 n and 1 k.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 2*q + 7*q. Suppose q = 3*p - 542 - 1372. Let n = p + -414. Is n a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2 - 956792*f.\nAnswer: 4*f*(f - 239198)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 1578*t**2 - 1085*t**2 - 3 + 1530*t**2.\nAnswer: 2023*t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6115.8 * 4616.\nAnswer: 28230532.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 246*(-10 - (-21)\/2).\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1324*h**3 + 915*h**3 + 86*h**3.\nAnswer: -323*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21\/105 + 327\/15 and 154.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/12)\/((-9)\/(-24)). Let v(s) = 5*s + 0 + s + 2*s**n + 1 - 3*s. Is v(-2) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in 283\/5, 87, 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -434427 minus -0.02?\nAnswer: -434426.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.16, -5, -1.1, -2\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -597*u**5 + 285*u**4 + 1199*u**5 - 603*u**5 + (0 + 3 + 0)*(2*u**5 - 4*u**3 + 4*u**3).\nAnswer: 5*u**5 + 285*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 2*f, -f = -u + 77. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 380413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kbkkkmmkmcmtzmmt. Give prob of picking 1 z and 1 c.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2388768.\nAnswer: 2, 3, 149, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -0.06, 0.4, 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1884 divided by 882?\nAnswer: 314\/147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -5*q + 2 + 10, 4*s - q - 24 = 0. What is the second derivative of 14*w + 5*w**3 - 11 + s + 5 wrt w?\nAnswer: 30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n - 2. Let k(h) be the third derivative of -5*h**4\/24 - h**3\/2 + 10*h**2 - 11*h. Let z be 4\/5*-2*5. Give z*u(r) + 5*k(r).\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8778, -70427, -237798, -563751, -1101146, -1902843?\nAnswer: -3021702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*h - 63 = -139*h - 4*q, 5*q - 35 = -4*h + 49 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 5. Sort f, -5, 2\/17.\nAnswer: -5, 2\/17, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -d (base 14) to base 7\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, b: 1, k: 2, j: 2, q: 1, l: 1}. Give prob of picking 1 j, 1 l, and 1 t.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2467996171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 - -48.6. Let t = z - 18.3. Let l = 9.69999943 + t. Round l to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v - 4*v - 417627 + v + 417627 + 2*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 106076 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -122, -490, -1104, -1964, -3070, -4422?\nAnswer: -6020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence chr when three letters picked without replacement from {c: 1, o: 1, r: 1, g: 2, l: 1, h: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 28 = -4*f, 53*h - 85*h + 126 = f for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03893 rounded to three dps?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 141314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 310692?\nAnswer: 2, 3, 17, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, k: 4, b: 1}. What is prob of picking 2 k and 1 c?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53791*x - 5*x**2 + 53791*x.\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/14 and -59\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5*d = -50, -3 - 3 = 2*d. Let h be 20\/r*14\/4. Find the first derivative of -h + 6 + 2*a**4 - 3 wrt a.\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z**3 - z**2 + z. Let d(k) = -k + 11. Let c be d(8). Suppose -4*p + 24 = 4*y, -7*y = -2*y + c*p - 20. Give f(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(154)\/(-2*sqrt(7)) - sqrt(220)\/(sqrt(10)*1))\/((sqrt(288) - (-6*(sqrt(288)*1 + sqrt(288) + sqrt(288)) - sqrt(288)) - sqrt(288))*1).\nAnswer: -sqrt(11)\/152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 12) to base 4.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of 13*v**5\/5 - 3*v**2. Let w(j) = -2*j**2 - 8. Let n(o) = -o**2 - 5. Let i(s) = 8*n(s) - 5*w(s). What is i(c(h))?\nAnswer: 48672*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**2\/7 - 8506*d\/7 - 33800 = 0. Calculate d.\nAnswer: -4225, -28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 309 + c**2 - 625 + 311 + 4*c.\nAnswer: (c - 1)*(c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - 5. Let p be (-24)\/b + (-24)\/132. Suppose 65 = 72*s - 151. Solve p*v + s = 11 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22)\/((-22)\/13))\/(1 - 0).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 778329?\nAnswer: 3, 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32727610?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -32, -12, 34, 118, 252?\n\"Answer: 2*b**3 + b**2 + 3*b - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 453, 454, 455?\n\"Answer: o + 452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-9) - (-305)\/45. Let k be 1 + -1*4 + l. Solve -k*b = -b - 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 131.9 - 132.2045. Round m to two decimal places.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v - 5. Let i be u(-5). Suppose 5*f = -i*f + 40. Suppose -4*m = -f*m + 4. Which is smaller: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64414 and 172?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 26538 = -3*p, -5*s + 17*p + 44226 = 14*p. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -y**3\/6 - 4*y**2 - 467*y. Determine f(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1490, -2931, -4372, -5813, -7254?\n\"Answer: -1441*b - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxfxrdfffdfrffd. What is prob of sequence fddr?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7494889*d - 22484601*d + 7494892*d + 7494833*d.\nAnswer: 13*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3*z - 15 = 0, 2*x - 15 - 10 = -5*z. Let m = 2 + x. Let t be ((-52)\/(-7) - 6)\/(2\/7). Solve 15 = t*j + 5*p, 3*j + m*j + 2*p - 12 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 14, 33, -76279?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -1, -5*n + 0*n + m + 34 = 0. Let x be (0\/2 - 21)*-1. Calculate the greatest common factor of x and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*q**2*t + 3*q**2 - 198*q*t - 835*q + 125*t + 8 wrt t?\nAnswer: 2*q**2 - 198*q + 125","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and 1742287.888.\nAnswer: 1742287.988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 5*z + 46. Suppose c - 16 = -3*s, 2*c + 4*s + 37 = 3*c. Calculate the remainder when w(0) is divided by c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10416 + 10421. Let k = -7 + 23. Suppose 3*s + m*q = k, 3*q = -2*s + s. Solve 20 = -5*i, 5*i = 3*t + 2*i - s for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w**2 + 5*w - 6. Determine a(4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*h + 11. Let q = 0 + 2. Suppose 5*i - 6 = -q*v - 0, -3*v = 5*i - h. Calculate the highest common factor of v and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 + u - 11. Let w be o(4). Let c(l) = -2*l**3 + 17*l**2 + 9*l. Let f be c(w). Suppose -2\/11*s**3 + f - 2\/11*s**2 + 0*s = 0. What is s?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -314*z + 310*z + 56. Suppose y = z*y - 143. Solve -5*t + 4*n = -40 + y, n + 21 = 4*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36140 - -37776. What is the remainder when k is divided by 22?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247003892?\nAnswer: 2, 61750973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 3*i + 15 - 43, 4*i - 3*r + 11 = 0. Let w be (i + 13\/(-3))*(-24)\/16. Sort 2, 18, w in decreasing order.\nAnswer: 18, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 419 is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 161963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1.28 * 11\nAnswer: 14.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7508590 and 4948?\nAnswer: 2474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w + 5*w + 1311 = 0. Which is smaller: -68 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -128, -119, -108, -95, -80?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8016 = -17*t - 317*t. Put 3, t, 1, 6, -4 in decreasing order.\nAnswer: 6, 3, 1, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6231615 (base 7) to base 12.\nAnswer: 300600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -51 - -52. Solve z = 3*i - 4*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22780116 is divided by 57093.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 642*b**3 + b**2 + 111 - 644*b**3 - 185 - 2*b**4 - 102 to w*b**3 + l*b + o*b**2 + i*b**4 + x and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 272\/6 - (-1)\/(-3). Suppose 0 = 37*m - 61 - 124. Calculate the greatest common divisor of m and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 42805\/(-380) + (-18)\/171. Let d = k + 113. Let u = 107\/14 - 17\/2. Which is the biggest value? (a) u (b) 3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21\/526 - 39523\/976782. Which is greater: 0 or z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + 17 + 10 - (9 + -1 + 1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -5 (c) -0.0209 (d) -26 (e) 0.04 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -281*d + 1479 = -368*d for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/(-8))\/((-2)\/4) + -3. Suppose y = 10*z - 210 - 10. Solve 5 = 3*k - 7*k - 5*s, 4*s = 2*k + z for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.43 from -4125758350070.\nAnswer: -4125758350070.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 4. Suppose -o + a*o = 88. Calculate the greatest common factor of 8 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oof when three letters picked without replacement from {o: 5, p: 3, q: 3, f: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 1586 - 458. What is the remainder when t is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 7, -2, -479, 4.\nAnswer: -479, -2, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 - 4*t - 3. Let w(h) = -2*h**2 + 9*h + 7. Let a(u) = -7*u. Let f be a(-1). Let z(v) = f*g(v) + 3*w(v). Determine i so that z(i) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*x + 9063 - 9171 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u**3 - 3*u**3 + 3*u**3)*(-2 - 2 + 2) + 193*u**3 - 103*u**3 + 49*u**3 + (-2*u**2 + 2*u - 2*u)*(2 + u - 2) as k + h*u**3 + o*u + b*u**2 and give h.\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -115.4 >= 5.4691?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -36, -121, -248, -411, -604?\n\"Answer: s**3 - 27*s**2 - 11*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(((238\/17)\/(-252))\/(-1))\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 3 (c) 532 (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 976701.4900303 - 976704.4. Let w = y + 2.91. What is w rounded to six dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + (-59)\/42 + 20\/(-40). Which is the second biggest value? (a) 9 (b) -1\/7 (c) s (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31*m**3 + 150*m**2 + 111*m**2 - 140*m**3 wrt m.\nAnswer: -1026","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -231 + 231.3. Let m = -3.0033 - -0.0033. Which is the closest to 41? (a) 0 (b) -0.2 (c) y (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -6 (b) -5 (c) -0.07 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3*x**3 - 30*x**2 + 2. Let l(y) = 16*y**3 - 150*y**2 + 11. Suppose 138 - 148 = -8*i + 3*i. Give i*l(a) - 11*s(a).\nAnswer: -a**3 + 30*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78841676.\nAnswer: 2, 19710419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: 6824441 * -0.19\nAnswer: -1296643.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 0.5, 2\/9, -80\/7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27346 is divided by 6780?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 34766213 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27905 - -42874. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 7*s**3 + 5*s + 39 + 11*s**2 + 31*s**3 - 11*s**2. Let u(r) = 39*r**3 + 6*r + 40. Let n(q) = -6*o(q) + 5*u(q). Differentiate n(z) with respect to z.\nAnswer: -99*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v + 1. Let k(a) = -4*a - 2. Let p(z) = 11*z + 5. Let m(b) = -8*k(b) - 3*p(b). Let t be -1*(-1 - -3 - 3). What is t*r(w) - 3*m(w)?\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1177 is divided by 32?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-14 - (-26 + (4 - -6)))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1319073160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 10:05 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -53749*n**3 + 3*n**2 + 4*n + 4. Suppose 1 = q + 3. Let y be t(q). Round y to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, r: 4, u: 1, l: 1, v: 1}. What is prob of picking 1 l and 1 r?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 249*f**2 - 245*f**2 + 0 - 369*f**3 + 434*f**3 + 1 as x*f**3 + r*f**2 + c + d*f and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30051.\nAnswer: 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3 + 4854480*k**2 - 58253868*k + 174761712.\nAnswer: (k - 6)**2*(k + 4854492)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 34, 138, 312, 556, 870, 1254?\n\"Answer: 35*a**2 - a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = -2*s - 9. Let o = 35 + s. Let c(t) = 46*t + 27. Is c(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-59 + 1)*(7 - 48\/6). Solve -c = -86*b + 286 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*d*q**2*u - d*q + 2*d*u + 11*d - 18*q**2*u - 2*q**2 with respect to u.\nAnswer: -4*d*q**2 + 2*d - 18*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4 + (1*sqrt(539) - sqrt(132)\/(sqrt(48)\/sqrt(4))).\nAnswer: 3 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 66.6 + 6.4. Let g = b - 71. Let d = -0.74 - -0.72. What is the closest to -0.2 in 0.2, g, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fqqfqffffffffff. Give prob of sequence fqff.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4674840 by 3.\nAnswer: -1558280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-854)\/(-8) + 6\/(-8). Is 60\/(-4)*o\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 4*t = -6. Suppose m + 3 = 3*u, -t*u - 4*m = m - 21. Let c(a) = 6 - 6 + 0*a**u + a**2. Let b(r) = 2*r**2. Give b(c(v)).\nAnswer: 2*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1492?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 6\/7, -10, 1, 0.07 in descending order.\nAnswer: 1, 6\/7, 0.07, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 14*k. Let y(g) = -573*g - 1. What is y(q(s))?\nAnswer: -573*s**2 + 8022*s - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s - 1. Suppose 11 = -5*n + 6. Let q be (-3)\/2 + (-5)\/(-20)*-10. Let v(u) = -2*u**2 + u + 1. Let o(x) = n*v(x) + q*m(x). Determine o(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 5*p - 10 = 0. What is the smallest common multiple of 4 and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 - (107 + -25 + -45)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -83806 or 2\/31?\nAnswer: -83806","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -167 - -1167\/7. Let i = -0.02 + 0.27. Let s = 0.15 - i. What is the third smallest value in s, c, -2\/15?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 1209 = -2*w + 2*r, 4*w - 1612 = -r. Suppose -24*d - 638 = -46*d. What is the remainder when w is divided by d?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 1:49 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 15*o**2 + 17. What is the tens digit of w(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*u - 1)*(-4 + 0 + 3)*(-3340 + 136*u - 5*u + 3337).\nAnswer: -262*u**2 + 6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 2 - 4 + 168*h**3 - 863*h**3.\nAnswer: -695*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 300137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -5339?\nAnswer: -8\/5339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -7496*-0.5\nAnswer: 3748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 + 27 - 1306*l + 649*l + 648*l.\nAnswer: -9*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -77365 - -77365. Let m = -0.15 - 1.45. Let h = -9.6 - m. Which is bigger: v or h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -6 - 3*c + 35*c**2 + 4*c - 36*c**2. Determine o(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 9486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 750.754 - 750. Let g = -0.184 + i. What is g rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 0. Suppose 4*g = 4*m + 8, 3*m - 6*m = -g. Solve 3*d = -3*z + g, 9 = k*d - 2*z + 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 88*b**2 - 45*b**2 - 47*b**2 + b**3 - 10*b - 11*b + 3. Let p be q(7). Calculate the greatest common divisor of 3 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/4 + (-3 - -1). Let h = -2732 - -2737. What is the fourth biggest value in -0.03, h, k, -2\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of -j**7\/70 + 3*j**6\/40 + j**5\/20 - 3*j**4\/8 + 46*j**2 + j - 10. Let h(m) be the first derivative of d(m). Factor h(z).\nAnswer: -3*z*(z - 3)*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -13. Let t be 2 - (-3 - q\/(-3)). Solve 2*w + t - 14 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -75218141224 + 0.09\nAnswer: -75218141223.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 2*x**2 - 7. Let z be g(3). Suppose z*q + i = 4*q - 9, 0 = -q - 3*i + 1. Solve q*n = -5*p + 2*n + 14, 2*n + 14 = 2*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 19963876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -o**4\/12 - o**3\/6 + 9*o**2\/2 - 4*o. Let w be a(-5). Let l = w - -81. Is l a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -367*x**3 + 9 + 367*x**3 - 27*x**4 wrt x?\nAnswer: -108*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56b (base 12) in base 15?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zssz when four letters picked without replacement from {s: 2, z: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b\/b**(-10)))\/b)\/b)\/b**(-9) assuming b is positive.\nAnswer: b**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 1:57 AM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1140, -1142, -1148, -1158, -1172, -1190?\n\"Answer: -2*m**2 + 4*m - 1142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - 13 + 13)*(1 - 1 + h)*(-10 - 15 - 15).\nAnswer: -120*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oqxfcsq. Give prob of picking 1 o, 1 s, and 1 q.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 173 divide 610521671?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27539479 and 55.\nAnswer: 137697395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 77885681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -6*w - 61. Let x be -7*(-2)\/21*-18. Let q be d(x). Solve 4*j - 5*n + q = 0, 5*j + 2*n = -0*n - 22 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3110312525?\nAnswer: 5, 67, 1856903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x. Let v(b) be the third derivative of 0*b**3 + 0*b + 1\/6*b**4 + 0 - 6*b**2. Give i(v(u)).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 5 - (-46)\/(-12). Determine k so that 0*k + 0 - 1\/6*k**3 - 1\/6*k**4 + b*k**2 + 1\/6*k**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 7*z + 16. Let l be m(10). Suppose -l = 7*t - 5*t. Let f = t + 41. Let w(k) = 2*k**2. Give w(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - -123*(-12)\/4. Let x = -162 - m. List the prime factors of x.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2204 and 304.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -3*q + 2*z, -5*q + 0*z = 4*z - 7 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*i**4 - 18*i**4 + 1318 - 1320 + 6*i**2 + (i + 2*i**2 - i)*(5*i + i - 4*i)*(-6*i + 0*i + i).\nAnswer: -16*i**4 + 6*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(20))**2 + 2 + (-2*sqrt(5))**2 + sqrt(5) + sqrt(5) + -3).\nAnswer: 12*sqrt(5) + 234","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -223.0154 - -223. Let m = 38879 + -38879.015741. Let z = m - r. Round z to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**2 + 4*a + 3. Let v be s(-2). Solve 2*h = -4*d + h + 1, 0 = -v*d + 3*h + 12 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13910\/(-14124) + (-1 + 5\/3)\/((-8)\/(-12)).\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in 0.4, 13, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - -72. Let t = v + 75. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 3. Let p(z) = z + 4. Let t be p(-4). Let v = -3 + t. What is the closest to 2\/5 in k, -1, v?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (80955\/28)\/((-1)\/(-4)). Let u = -17365 + p. What is u rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -0.3, -1\/11 in descending order.\nAnswer: 2\/7, -1\/11, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -890b6 (base 15) to base 9.\nAnswer: -733410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrrdrrrrrrdrd. What is prob of sequence rdrr?\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 174*g - 190*g. Put 11, 246, g in descending order.\nAnswer: 246, 11, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 50bab3 - -2b?\nAnswer: 50bade","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9965 and -7.\nAnswer: -69755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2685 at most as big as 2688?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven fifteenths of a century?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 1 (b) -0.4 (c) -31 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10457042 + -4949131. Suppose 24592089 = a - f. Suppose 5*y + a = -2*y. What is y rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 7*f**3 - 3*f**2 + 4*f - 3. Let c(d) = -11*d**3 + 4*d**2 - 6*d + 4. Let x(p) = p**2 + 2*p - 7. Let a be x(-5). Let n(y) = a*o(y) + 5*c(y). Give n(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 1 - (-59 - ((81 - 74) + (1 - -1))).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 153658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -437*v - 459*v + 308 = -910*v for v.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (54\/4)\/((-4)\/(-760)). Suppose -8*u = -c - 955. Round u to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 167, 174, 191, 224, 279, 362?\nAnswer: 479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a micrometer in nanometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-3)\/162*12.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 s when four letters picked without replacement from {m: 3, e: 7, s: 2}?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 1441*r - 67731. Let g be p(47). Let z(u) = -2*u - 5. Let c(k) = 5*k + 15. Let s(d) = -3*c(d) - 8*z(d). Calculate s(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2 - 495072*k - 495069.\nAnswer: -3*(k + 1)*(k + 165023)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 6*z**3 + 6*z**2 + 2*z - 5. Let c be k(6). Let s = c + -4612\/3. What is the common denominator of -43\/7 and s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 2*o - 183778. Suppose -8*u + 23706 = -o. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 7 = -17. Let v be 1 + 20\/q + 0. Put -3\/4, v, 0.06 in increasing order.\nAnswer: -3\/4, v, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 2*p - 815 - 387, -4*f + 984 = 4*p. Does 22 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**1)**3\/((q*q*q\/q**(-1)*q)\/(q\/(q\/((q*q**(-1\/6)*q)\/q)))))\/((q**(-5)*q*q**(1\/9)*q)\/(q**(-4\/5)*q**2)) assuming q is positive.\nAnswer: q**(263\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and 1.26.\nAnswer: 3.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -57*h + 65 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + d**2 - 5. Let f be w(0). Let v = 9 + f. Let l = 3 + 1. Solve -l*b - 5*u = -0*b - 31, 2*b - 4*u = -v for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -118, -287, -528, -841?\nAnswer: -1226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2 times -0.01026?\nAnswer: 0.022572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/5 - (-6)\/((-2)\/36*-12).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*o + 3*o - 3*o)*(2*o - o + 0*o) to the form y + l*o + n*o**2 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33 - -13331300?\nAnswer: 13331333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) -1 (c) 1\/6 (d) 0.032 (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2*i = -0*i + 41, 4*i + 69 = 5*b. Let q = b + -8. Solve 3*c = 3*f + 6, 13 + 9 = -q*c - 3*f for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 5*l**2 + 2*l - 6. Let a be t(-4). Solve 27*k = 29*k - a for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/8 + (-115)\/(-20). Let h(i) = i**2 - 5*i - 2. Let k be h(g). Suppose -3*v = -3*p, -10 = 3*v - k*v - p. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 3570\/9013?\nAnswer: 3570\/9013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4*l + 9 = l, 4*l + 12 = 5*p. Solve 3*s - m - 9 - 1 = 0, -4*s + 2*m + 10 = p for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 44*t + 1. Let b(p) = -88*p - 2. Let m(z) = -4*b(z) - 9*i(z). What is the tens digit of m(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -306*u = -2*d - 307*u + 434619996, -4*u + 869239984 = 4*d. What is d rounded to the nearest 1000000?\nAnswer: 217000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*z**3 - 53*z + 53*z - 5*z**3 + 1.\nAnswer: 31*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 292 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7472*9708.\nAnswer: -72538176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 6:06 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 9, s: 5}. Give prob of picking 2 s.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3*c - 8. Let h(f) = -7*f**2 - 38*f + 3. Calculate g(h(i)).\nAnswer: 21*i**2 + 114*i - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - r + 18 = 3*r, v + 3*r = 11. Determine l, given that l**3 - 3*l - 4*l**2 + v + l**2 + 3*l**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -754458 divided by 50?\nAnswer: -377229\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 27477224917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 0 + 0)*(-3*x - 9*x + 2*x) + (2*x + 2 - 2)*(x - 3*x + 0*x) + (-4*x + 3*x - 3*x)*(-4 + x + 4) - 909 + 909 + 60*x**2.\nAnswer: 62*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**4*r**2*s - 2*b**4*r + 13*b**3*r**2 - b**2*s - 2*b*r**2*s + 25*s wrt b?\nAnswer: 48*b*r**2*s - 48*b*r + 78*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-10*v - 21*v**2 + 10*v)*(1 - 1 - v**3) + 3*v**4 + v**5 - 3*v**4)*(-5 + 3 + 0).\nAnswer: -44*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1671?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) + sqrt(288) + 3)**2.\nAnswer: 84*sqrt(2) + 401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -51 - -61. Let m = 580 + -450. What is the greatest common divisor of y and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1196)\/(-9867)*(-9)\/66\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/2 - 53*r**2\/2 + 260*r.\nAnswer: r*(r - 40)*(r - 13)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1477 in 22, -5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r - 11*r = 30. Let t(o) = 2*o + 7. What is the units digit of t(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -56 - 2*h**2 + 56 + 18*h**2. Let s(l) = -8*l - 11. Let a(f) = -3*f - 4. Let o(u) = -11*a(u) + 4*s(u). What is o(j(d))?\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 - -0.2. Let r(d) = 2*d - 35. Let s be r(17). Let o(n) = -2*n**2 - 2*n - 1. Let p be o(s). What is the third smallest value in 1\/4, p, m?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 7 (b) -542 (c) 1\/3 (d) 3865\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5959 - 5969 - (2 + (12 - -1))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -1, 38, 3\/17?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 60 - 27*b + 148 + 4*b - 205 + 0*b. Let f(z) = 4*z. Determine a(f(g)).\nAnswer: -92*g + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3 - (-1 + -104) - (2 + -1).\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10649419.\nAnswer: 11, 743, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3628877 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25.6 + -132.6. Let j = 107.0138 + r. What is j rounded to three decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2569260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/27)\/(128\/(-48))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -6*sqrt(272)*3)*-6*3)**2 + -5.\nAnswer: -139968*sqrt(17) + 28556383","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4\/15*s**2 + 32\/15*s**3 - 2\/15*s**5 + 16\/15 - 4\/5*s**4 = 0. Calculate s.\nAnswer: -8, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29703 to the power of 1\/2, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/6 + 169*m\/6 + 453.\nAnswer: (m + 18)*(m + 151)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in months?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/1019?\nAnswer: -2\/1019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 1560 divide 130486200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-46 + 38 - 6).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -138*x**3 + 3*x**2. Let d be u(2). What is the common denominator of 531\/(-28) - (-24)\/d*13 and -17\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -73, 1\/10, -3.\nAnswer: -73, -3, -0.3, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = 2*n - 5, -6979*n - 5 = -6982*n - 2*b for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6700831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14398\/11 + -1302. Is 6 < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 4*s + 11, 8 + 1 = 3*l + 3*s. Let b = l - -1. Suppose 2*p - 5 - 2 = -w, -3*w + 5*p + 21 = b. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 8\/25 of a kilogram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 10:24 AM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -7b0b (base 14) to base 8\nAnswer: -51577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 (base 7) in base 3?\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 484257?\nAnswer: 145277.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, 59, -334071?\nAnswer: -334071","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -3*b**2. Let c(n) be the first derivative of n**2 + 4. Calculate j(c(y)).\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2740 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 99834 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 7 = -2*u - 18, 2*u + 10 = 0. Suppose -q = 3*l + l - 17940, 0 = -f*l - 5*q + 13438. Is ((-10)\/20)\/((-1)\/l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 309580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + 2 + 1 + -12.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 3*f**2 - f + 2. Let v be h(-2). Let o(m) = -m - 13. Let q be o(-12). Sort q, v, 3.\nAnswer: q, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-51 - -39)*(-1)\/(3\/2). Solve g = 5*i - 3*u, -4*i - 1 = -2*i + 3*u for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 7) to base 14\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52 + 50 - 2*h**2 + 972*h**3 + 2*h**2.\nAnswer: 972*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*h + 259 - 294 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*u**2 - 6249700*u + 12499384 = 0. Calculate u.\nAnswer: 2, 1562423","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4395.8483 + 4415.85. Let n = -20 + b. What is n rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + l + 2. Suppose 5*s + a + 10 = 0, 3*s = 4*a + 8 + 9. Let c = -1 - s. Let f be p(c). Solve -4*w = -0*q + 4*q, 2*w = f*q + 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5699 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3010 is divided by 1494.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) 5 (b) 0 (c) 0.6111\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/40)\/((-348)\/30)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -41a05 + -2712?\nAnswer: -44517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -147a59b3 + -2?\nAnswer: -147a59b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - 13*w**2 + 375*w - 73. List the prime factors of o(-41).\nAnswer: 2, 3, 5, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52 - 24 - 19 - 2787*p - 9)*(2*p - 1 + 1).\nAnswer: -5574*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-25)*225\/(-135).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(1088)*3)**2 - sqrt(1088))*-4.\nAnswer: -39184 + 416*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iimaqaaiiq. Give prob of sequence iqiq.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/5 and -1 + ((-58)\/(-108))\/(47\/(-141)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0012277 to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -106*c - 3. Let y(r) = -r**2 + 13*r + 16. Let j(p) = -p**2 + 14*p + 17. Let a(d) = 5*j(d) - 6*y(d). Let g be a(9). Is x(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 189*w**2 - 1970*w + 193196. Calculate h(184).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(3168))\/(sqrt(121)\/(sqrt(44)\/sqrt(4))).\nAnswer: 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 3*k + 0*k)*(8 + 0 + 6)*(0 - 2 + 1).\nAnswer: 28*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -52 + 53. Let k be -5 + 3 + 7\/1. Solve 0 = 3*z + 3*q - s - k, 5*z - 2*q = -4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (18\/(-21))\/(3\/(-42)). Suppose k = 3*v - 26, k + 2*k = -v + r. Solve -2*t + 1 - v = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -34.594 and -1.\nAnswer: -35.594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31 - -30. Are 3\/2 and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*i*j**2 + 733*i*j*u + 199*j**2*u + 6*j*u wrt i.\nAnswer: -3*j**2 + 733*j*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 minus -365.4448447?\nAnswer: 319.4448447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 21 - 6, 0 = -4*h - 2*k + 6. Suppose -2*i = -h, 2*d = i - 2 - 0. Let y(v) = v. What is y(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2 + 5 - 264*j + 3 + 129*j + 130*j. Calculate r(6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ad when two letters picked without replacement from {a: 3, d: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3\/4, 0.062 in ascending order.\nAnswer: -3, 0.062, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1, 3, -867\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2*(-6)\/(-36))\/(1\/(-21)). Let m be (-8)\/2*15\/(-12). Suppose -m*x + 27 = -18. Is x at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/((-52)\/6)*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-5 - -1 - (4 + -17)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39 - -162. Suppose 0 = -3*l + a + 131, 3*l - 3*a = -0*l + h. Calculate the greatest common factor of 18 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/5 + (-952)\/595)\/((-1)\/(-12)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*b**2 - 340 + 297 + 43.\nAnswer: 39*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 1. Suppose o = -2 + 6. Suppose 0 = o*j + 3 - 19. Which is the smallest value? (a) j (b) x (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46752?\nAnswer: 2, 3, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -279 - -284. Let t(l) = 28*l - 10. Is t(m) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + a**2 + 18. Let r be n(0). Suppose 4*c - r + 10 = 0. Solve -c*f - 4*s = -14, -f + 3 = -3*s + 6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(((-171)\/228)\/((-27)\/48*-2))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34 - -67. Let m = i - 18. Let x(s) = s**3 - 2*s**2 + 2*s + 2. Calculate the remainder when m is divided by x(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 68 - 46. Calculate the least common multiple of v and 74.\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -15*n**3 - 12*n**2 + 5*n - 12. Let s be d(12). Suppose 4*h - 5 = 3*h. Let g be h\/2*(s - 0). What is g rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b**(-18))\/(b\/(b*b**(-6\/7))*b))**(4\/13) assuming b is positive.\nAnswer: b**(-500\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -44796283888 - 0.5?\nAnswer: -44796283888.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 10:18 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4004182?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -84*n - 20. Let a(i) = 18*i + 11. Let x(o) = -183*o - 114. Let u(t) = -21*a(t) - 2*x(t). What is -40*u(h) + 6*w(h)?\nAnswer: -24*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 26*x**2. Let o(q) = -210*q**2. Determine o(y(j)).\nAnswer: -141960*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134808 is divided by 44927?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2398268?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 0.28 (c) 0.0542\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -134*g**2\/9 - 1328*g\/3 + 124070\/9 = 0.\nAnswer: -3265\/67, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -130155 - 32.05.\nAnswer: -130187.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -201 by 20360.\nAnswer: -201\/20360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 2 in increasing order.\nAnswer: -5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -360*m + 1120. Calculate the remainder when 707 is divided by x(3).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9775 and 3128?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -342\/35 - -883\/140. Let h = k - -26\/7. Which is the third smallest value? (a) -2 (b) 0 (c) 2 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 + 10 = -13*z + z + 15*z - 2*u, -102*z - u = -714 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 189*p. Let b(k) = 369055*k - 2. Give i(b(y)).\nAnswer: 69751395*y - 378","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 514, -396, -1696, -3386, -5466?\nAnswer: -7936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of 30*b**7\/7 - 2*b**3\/3 + 5*b**2\/2 - 51. Find the third derivative of p(i) wrt i.\nAnswer: 3600*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + g - 2*g)*(-3*g**2 + 2*g**2 + 3*g**2) + (-4*g**2 - 17 + 17)*(2*g + 5*g - 4*g).\nAnswer: -14*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16 by 1691.\nAnswer: 16\/1691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1215*k - 1222*k - 29 + 29.\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -27237000 rounded to the nearest one hundred thousand?\nAnswer: -27200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ow when two letters picked without replacement from {h: 1, w: 1, b: 1, r: 1, o: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1417329.653 rounded to the nearest 10000?\nAnswer: -1420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1449 divided by 5\nAnswer: -1449\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*l + 6*l + 11*l)*(-3 + 2 + 2)*(-1 + 1 + l**2) to the form t*l**3 + g*l + a + c*l**2 and give t.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16755, -16951, -17147, -17343, -17539, -17735?\nAnswer: -17931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 2*a + 22. Let q(l) = 15*l**2 + 3 - 10*l**a - 6*l**2 - 7*l. Determine q(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 8:19 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -1\/900*m**6 - m**2 - 5\/6*m**3 + 0*m**4 - 1\/300*m**5 + 0 + 0*m. Let c(k) be the first derivative of w(k). Factor c(l).\nAnswer: -2*l*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 10*d - 8. Let w(m) = -2*m - 5. Let t be w(-7). Let r be i(t). Let b(l) = 4*l**3 - 3*l**2 + 2*l. Does 2 divide b(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.315 to 1 decimal place.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/((-256)\/232) - 3\/(-4). Let l be (-3)\/(-1) - (-5 + m + -9). Let g(u) = -u**2 + 9*u - 9. Calculate g(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3392 and 403.52?\nAnswer: 136.873984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -25474, -25523, -25572, -25621, -25670, -25719?\n\"Answer: -49*n - 25425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - 43*u**2 + 141*u + 135. Give b(-46).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/(-9) + (-2)\/6. Suppose -12 = 4*c + 8. Let j = c - -1. Sort j, f, 6.\nAnswer: j, f, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/5*(-11)\/(-55)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51525, 2\/7, 1.1, 25 in decreasing order.\nAnswer: 25, 1.1, 2\/7, -51525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/1876 and -51\/77.\nAnswer: 20636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-5))\/(1326\/(-2210))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18760 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 15562*q**4 - 31118*q**4 + q + 15555*q**4 + 52 + q**3 in the form d*q**3 + o + x*q**4 + g*q + w*q**2 and give o.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14585 + 14590. Solve 10 = -o*n, 7*v = 4*v + 5*n + 22 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {u: 3, v: 1, k: 6, d: 7}.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + 5*l - 5. Let v be -8 + (-6 - -4)*6\/(-4). Let f(a) = a - 2. Let z be f(v). Give k(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.5, 453, 2\/11 in decreasing order.\nAnswer: 453, 0.5, 2\/11, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1590189932657 from -1.\nAnswer: 1590189932656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34981?\nAnswer: 34981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 717 - 144?\nAnswer: 583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -5*g + 30. Give s(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 61 - 39. Calculate the lowest common multiple of 26 and f.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**2 - 18130*g + 12147465.\nAnswer: 5*(g - 2739)*(g - 887)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 475 is divided by 52.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 156500 and 183500?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + d - 1. Suppose -12 = 3*c - 6*c. Let n = 8 - c. Calculate the remainder when f(3) is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19480 is divided by 6404.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 304 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyme when four letters picked without replacement from {m: 2, y: 7, e: 1, z: 4, i: 2}?\nAnswer: 1\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 17826, 72164, 162752, 289590, 452678, 652016, 887604?\n\"Answer: 18125*y**2 - 37*y - 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 29 = -4*m, 3*p = -2*m - 2 + 37. Let a = p - 8. Let t be 186\/9 - 2\/a. What is the greatest common divisor of t and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -373*m**3 - 1 - 11 + 105*m**3 - 2*m.\nAnswer: -268*m**3 - 2*m - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 402666.\nAnswer: 2, 3, 11, 6101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -229 by 94.\nAnswer: -229\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3659802 is divided by 70?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 489*q - 20 = h - 0*h + 488*q, -106 = 5*h - 3*q for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 34\/(-255) + (-11)\/(-15). Sort 0, 1\/5, 2\/13, v in decreasing order.\nAnswer: v, 1\/5, 2\/13, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5, 4\/9, 4, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000002785398 to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7511982 and 11501?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rbxev. Give prob of sequence brx.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -9045075817 and -6.\nAnswer: -9045075823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 26313163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 4*k - 4. Let o be j(4). Let m be o\/(-4 - 8)*54. Differentiate 1 + 2 + 19*g - m*g wrt g.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.05563 and 0.09.\nAnswer: 0.03437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5247 - -5248. Suppose -7*k = -3*k - 8. Sort -4, s, k in descending order.\nAnswer: k, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 0.5 (c) 0.2 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4679 = 4*r - 1463, 3*r - a = 4607. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - ((-2064)\/(-21) - 2). Let s = -96 - b. What is the third biggest value in s, -1, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*y = -102*y + 24. Suppose 3*r - 29 = -d, -5*d + 3*r - y*r = -115. Is 12 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 5, -374, -25384?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (36\/54)\/(2\/60). Solve -5*v = 15 - s for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130349 is divided by 65172?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -443, -570, -707, -860, -1035?\n\"Answer: -n**3 + n**2 - 123*n - 320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 5*q + 2*q)*(3 + 0 - 2) + 4*q + 8*q - 6*q + 0 + 0 + 2*q + (-1 - 2 + 2)*(q + q - 5*q) - 2*q - 2 + 2.\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - u + 195, 4*s - 2*s + 4*u - 80 = 0. Suppose -o = n - 16, s = 3*n + 4*o - 3*o. What are the prime factors of n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/((-39 - -40)\/(-1 + 2)) + 159. Solve 134 - a = -5*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (385\/56 + -7 + 0 + 6735\/120).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 76 (c) 6 (d) -2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 12 = -5*h, 53 = 5*h - 4*g + 17. Let v(z) = 2 - 2 + 3 - z - h. Let a(i) = -12*i - 15. Determine -a(n) + 15*v(n).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1184492.\nAnswer: 2, 17, 17419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4944 is divided by 378.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 157\/95 + -20\/19. Let v = 1.9 - 2. What is the second biggest value in v, t, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 189524703 to the nearest integer?\nAnswer: 13767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 3*d - 6. Let b be (-4 + 5)\/((-3)\/(-6)). Let v be y(b). Let t be ((-6)\/4)\/(9\/12). What is the nearest to t in -1, v, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -k**5\/390 + 3*k**4\/26 + 19*k**3\/39 - 173*k**2. Determine r so that h(r) = 0.\nAnswer: -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3267*r**2 - 3256*r**2 - r - 4*r**4 + 1 - 2*r**3 + 1 to m*r**4 + f + x*r**2 + o*r + s*r**3 and give x.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**4 - 31284*z**2 - 124928*z + 156210 = 0. Calculate z.\nAnswer: -123, -5, 1, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8343.583 nanograms in milligrams?\nAnswer: 0.008343583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22113 - 147166 + 44*x + 46*x - 87*x.\nAnswer: 3*x - 169279","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**2 - 4245*v + 3*v**3 + 2*v**2 - 1424*v + 506*v.\nAnswer: 3*v**3 - 5163*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*r + 3*r - 2*r)*(3 - 2 + 3)*(0*r + 0*r - 3*r**3) to the form n*r**3 + b + s*r + i*r**2 + m*r**4 and give m.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/2*(-6)\/(-18) and -11\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 l when two letters picked without replacement from {y: 1, f: 6, j: 3, l: 8}.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -12424652 > -12424650?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 361, 1332, 2941, 5188, 8073, 11596, 15757?\nAnswer: 20556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1098827 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -4*d - 11, -6*d + d - 5*q - 5 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, v: 1, m: 1}. What is prob of picking 1 g and 1 m?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + -1 + 2845\/(-35). Let m = w + 84. Let j(k) = 4*k**3 - k - 1. Let z be j(-1). What is the second biggest value in z, -0.2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 64 + -14. Suppose 0 = 49*g - c*g + 3. Solve -o = -2*o - s + 9, 0 = -4*o + g*s + 8 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6289891.55 rounded to the nearest 100000?\nAnswer: 6300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 69\/77, -0.5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 2*r + 4. Let u be 43\/4 - 1\/(-4). Suppose o - u = 2*j, 2*j + 2*o = -j - 13. Let g(m) = m**2 + 2*m - 5. Calculate j*i(x) - 4*g(x).\nAnswer: x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2785639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -1. Let x(w) = -w - 4. Let h(a) = -7*d(a) + 2*x(a). Let s be h(-6). Let n = 69 - s. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -21*y - 7. Let r(i) = 20*i + 6. Let b(k) = 6*l(k) + 7*r(k). Let p(f) be the first derivative of -4 + 0*f + 0*f**2 + 2\/3*f**3. Determine p(b(s)).\nAnswer: 392*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in 2, -2\/39, -2, 346?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -73*d**3 - 291*d**2 - 6*d - 42. What is g(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98429?\nAnswer: 98429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -883.51 + 883.11. Let b = 194 + -82. Is h at least b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000324809738 rounded to 7 dps?\nAnswer: 0.0003248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 6:23 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45 - 83. Let v = u - -237. Let a = v + -54. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4 + 3090*m**3 - 4447487*m**2 - 10559321040*m + 11677638569536.\nAnswer: (m - 1231)**2*(m + 2776)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62460164?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 38*z**2 - 2*z - 10. Let o(x) = -2*x. What is o(q(a))?\nAnswer: -76*a**2 + 4*a + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i*(i*i\/(i\/i**(-2\/25)))\/i*i*i)*i)\/i*i*i*i**(-6\/11)*i assuming i is positive.\nAnswer: i**(422\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l**4 + 28*l**5 - 16\/7 + 96\/7*l - 68\/7*l**2 - 292\/7*l**3 = 0 for l.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tnnl when four letters picked without replacement from {n: 2, l: 1, o: 4, t: 3, d: 2}?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - 2*o + 1. Let z be 3\/(7\/(280\/15)). Suppose 4*j = 2*w - 108, z = 2*w - 4*w. Let r = 25 + j. What is q(r)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11\/3? (a) 0.2 (b) 2 (c) -2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10431 is divided by 3454?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 32 = 3*p - 7*p, 0 = -4*s - 3*p + 1 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 k when three letters picked without replacement from kkvvvavvavva.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/4*4\/(-3) - -1. Suppose 2*p - 1 = l - 6, -p - 13 = c*l. What are the prime factors of 3 + -6 - ((-258)\/3 - p)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 318 + -320. Is l >= 0.35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**5 - 83*h**5 + 27*h**5)*(-118 - 110 + 16 - 63).\nAnswer: 16500*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-70)\/42*(-3)\/2.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u + 8. Let k(c) = 3*c + 23. Suppose 2*s + 4*a + 18 = 0, -2 = s + 2*s + a. Let o be -3*s - (-36)\/4. Determine o*k(r) - 17*i(r).\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50864 - 50860. Let w = -91 + 127. Put w, s, 2\/11 in increasing order.\nAnswer: 2\/11, s, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55aa81 (base 13) in base 6?\nAnswer: -111205523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*(-2 + 3\/6). Let y(f) = f**2 + 2*f + 1. Let t(u) = 3*u. Let k be t(1). Let n be y(k). Solve 0 = -5*j - 3*x + n, 0*x = -5*j + l*x + 34 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-391)\/85)\/(19\/(-95))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 5*d + 4 + 6, 2 = m - d. Suppose m*z + 4*z = 63768364. Let u = z - 7442091. Round u to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 0 + 0)*(-3*t**2 - 5*t**2 - 3*t**2).\nAnswer: -22*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5666, -11285, -16910, -22547, -28202?\nAnswer: -33881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 39212388.2 to the nearest one million.\nAnswer: 39000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26426, 52828, 79230, 105632?\nAnswer: 132034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -5*n - 3. Let w be z(3). Let y = w - -20. Suppose y*r + i = 13, -r + 4*i = -4*r + 27. Solve -b = -r + 3 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u + 27*u**2 - 18*u**2 + 1 - 13*u**2 - 4 to the form v*u + w*u**2 + d and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18127644.000049 - 18127635. Let i = 9 - a. Round i to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -722 - -724. Suppose 864 = f*v - 648. Calculate the highest common factor of v and 168.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 6:10 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 6:44 AM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 33*h**2 + h + 6. Let k(z) = -33*z**2 - z - 5. Determine 6*k(i) + 5*v(i).\nAnswer: -33*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 5:52 PM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33978985*j**3*l*y + 2*j**3*y**3 - 3*j**2*l*y**2 - 1133*j*y**2 - 3*l*y**3 - 5*l*y**2 - y**3 - 4*y + 1 wrt j.\nAnswer: 203873910*l*y + 12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 455559055.\nAnswer: 5, 7, 73, 178301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaa. What is prob of picking 4 a?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**6\/d)**34\/(d*(d*d**(2\/3))\/d*d*d**(12\/11)\/d))**(2\/25) assuming d is positive.\nAnswer: d**(13282\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - 2*i - 3. Let k(q) = -q**2 + 2*q + 4. Let j = 9 - 4. Give j*k(y) + 6*g(y).\nAnswer: y**2 - 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -5*s**3 - 135*s**2 + 1320*s - 2800 = 0.\nAnswer: -35, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 808 + -818. Let b(s) = s**3 + 9*s**2 - 8*s + 18. Determine b(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31900.\nAnswer: 2, 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*c + 6071859 - 6071859.\nAnswer: 31*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11466?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 + 28. Let q be y\/(-2) - 1080\/(-16). Suppose -13 - q = -2*m. Does 10 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15563.035967 - -15563. Round h to 3 dps.\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*k**2*l**2*s*z + 2*k**2*l*s*z + 5*k**2*s*z - 4*k*l**2*z - 2*k*s**2*z - k*s**2 - 6*l**2*s**2 + z wrt l?\nAnswer: -6*k**2*s*z - 8*k*z - 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-23)*f*f)\/(f\/f**(2\/13)) assuming f is positive.\nAnswer: f**(-271\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 28142579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -699 less than -0.195?\nAnswer: 698.805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000137194 to 6 decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.4, 3\/5, -5.4, -3 in descending order.\nAnswer: 3, 3\/5, 0.4, -3, -5.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.8 and 47.54838?\nAnswer: -133.135464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 4:29 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 9:30 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 15. Let v be d(0). Let i be 21\/(-1)*(-10)\/v. Let n(k) = k**3 + 14*k**2 - 2*k + 18. What is the tens digit of n(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -4 = -4397\/821?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.588 to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(297) + sqrt(297)*-4)\/((sqrt(132)*3)\/sqrt(12)))**2 + -4.\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = -3*i + 666. Let f(j) = -4*j**2 + 3*j**2 + 75*j**3 - i*j**3 - j. Let h(v) = 8*v**3 - 6*v**2 - 6*v + 1. Calculate 6*f(b) - h(b).\nAnswer: -2*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4736 and 478780.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of 2*x**3\/3 - 3*x**2 + 5*x + 7. Let s(c) = -c**2 - 6*c - 3. Let n be s(-2). Calculate the remainder when b(n) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 3*y. Let c = -292 - -297. Sort 3, y, c in decreasing order.\nAnswer: c, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -345*k - 2804. Let w be c(-14). Solve 0 = 2022*d - w*d + 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q - 10*q + 4*q.\nAnswer: -11*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 15 = g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -307 + 323. Suppose -5*f + 2 = -2*d, -f - 2 = -5*d + j. Put -4, -17, d, -1 in decreasing order.\nAnswer: d, -1, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 77 + -102. Is -25 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -17*g - 20*g + 39*g. Let i(x) = -4*x**2. Give i(b(l)).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 1. Let y = k - 14. Let m = 32 + y. Calculate the greatest common factor of m and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7759.539l in millilitres?\nAnswer: 7759539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.6341 - -127.6241. Let l = -126 + k. Which is the nearest to 1\/4? (a) 0 (b) l (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 6:08 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2872*p**3*r**3 + 36794*p**3 - 217*p**2*r**3 + 62*r**2 wrt r.\nAnswer: -17232*p**3 - 1302*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 5*u**2 + 10*u + 20. Give h(6).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-16)\/k*k)\/((k\/k**(-15))\/k) assuming k is positive.\nAnswer: k**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (18 + 1)*1 + -3. Suppose 0 = 6*g + 23 - 83. Let j = w + g. What are the prime factors of j?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 0*a. Suppose a*o - 3*m = o - 16, -m = -o. Let s be o\/(-10) + 102\/30. Solve 3*c = -2*y + 3, -3*y - 1 = -s*c + 17 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -148105 + 148125. What is the least common multiple of ((-5)\/(-3))\/((-2)\/(-42)) and b?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40880596 to the power of 1\/3, to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -o + 39, 48 = -77048*o + 77049*o - 8*l for o.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/180*(-22)\/(-33)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -28696\nAnswer: -1\/7174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4*l - 175 = 0. Let s = l - -17. Let c = -24 + s. List the prime factors of c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 151\/94 - 5\/47. Sort -0.4, -16\/9, -5, i.\nAnswer: -5, -16\/9, -0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40097501?\nAnswer: 107, 251, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 565708 is divided by 69?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1031204772 by -15678.\nAnswer: -65774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*c - 13. Suppose 0 = v - 8 - c. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -95.\nAnswer: -285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 1:02 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 324830 to the nearest integer?\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -284, -2, 0?\nAnswer: -284","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5995 times 3.561\nAnswer: 21348.195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 396743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/11487 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -79*i**2 + 166*i + 226*i**2 - 63*i**2 - 77*i**2 - 2041 wrt i?\nAnswer: 14*i + 166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47621 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 130997 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243)*-5*5)\/(sqrt(72)\/(((sqrt(32) + sqrt(8) - sqrt(8)) + sqrt(8))*6)).\nAnswer: -1350*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22\/91 or 702?\nAnswer: -22\/91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(567) + -2 + 0.\nAnswer: -1 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d + 33*d - 87607 = 0. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 210310?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = 56*a - 27*a. Suppose -3*k - v - 34 = 0, k - 2*k + 3*v = 8. Sort -1, a, k in increasing order.\nAnswer: k, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffu when three letters picked without replacement from qqqfumfqquqqqmumqq?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - (sqrt(4)\/sqrt(2) - sqrt(2))) + -1 - sqrt(2))**2 - ((sqrt(4)*-1)\/sqrt(2))**2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -53.8657 * -0.4\nAnswer: 21.54628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of 4*m**5\/5 + 11*m**3\/6 + 16*m - 7. Let v(r) be the first derivative of i(r). What is the second derivative of v(h) wrt h?\nAnswer: 96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 0 + 3)*(2*g**4 + 9*g - 9*g) - 29*g**4 + 32 - 32.\nAnswer: -35*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 70 = 4*g, 6*g = 4*t + 4*g - 146. Solve 0 = n - 6*n - 3*j - t, -25 = n + 5*j for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -59, -4, 32, 5, 1 in descending order.\nAnswer: 32, 5, 2, 1, -4, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 529*b**2. Let j(d) = d**2 - 10*d + 10*d + 0*d. Give j(g(l)).\nAnswer: 279841*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((q*q\/q**(2\/43)*q)\/q*q)\/q)\/q)\/(q**(1\/32)*q))\/(q**(2\/13)\/q)**(-13) assuming q is positive.\nAnswer: q**(-15243\/1376)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fufezvz. What is prob of sequence uf?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + -8 - 1)\/1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6269?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 160 + -2?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5023651709.\nAnswer: 5023651709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.8? (a) 19 (b) 9\/250 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*n + 545 = 215. What is the lowest common multiple of n and 95?\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15314 (base 6) to base 11.\nAnswer: -1968","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zqy when three letters picked without replacement from zkkzkyqkkze.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 12:02 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-11)\/(-44)*4\/(-5))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61908 is divided by 12272.\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 5*b - 3 = 2, -5*w + 13 = -b. Find the third derivative of -831*c**3 + 1443*c**w - 39*c**2 - 745*c**3 wrt c.\nAnswer: -798","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24\/(-16)*(-32)\/6. Solve 2*a - z = 5*y, 4*y + 0*y - 2*a = -8 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**3\/8 - 6870*u**2 + 755534973*u\/8 - 5283360103\/4 = 0. What is u?\nAnswer: 14, 27473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a micrometer in nanometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00075503 rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1274260 is divided by 1487.\nAnswer: 1388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 851160 is divided by 3960.\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -8, -1\/4, -117\/7, -4\/13, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 0) + (-6 - -10)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*g**2 + 325 - 325 + g to j*g + a*g**2 + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vfv when three letters picked without replacement from {f: 3, v: 7}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hscmh. What is prob of sequence ch?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11045 and 9110.\nAnswer: 20123990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 109 or 1741\/16?\nAnswer: 1741\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/21 - (-78)\/126)\/1.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kus when three letters picked without replacement from {g: 3, s: 3, k: 1, u: 7, y: 2, f: 2}?\nAnswer: 7\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 432861 or -3408?\nAnswer: -3408","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p - 19. Let n be r(9). Let x be 1*n\/4 - -2. Suppose -3*b + 2*b = -8. What is the nearest to 0 in x, -0.2, b?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 - 4)*(-y + 3*y + 0*y)*(10 - 9 + 10*y + 0).\nAnswer: -100*y**2 - 10*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (245\/(-63) - -4)*3. Suppose -6*f + 3*f = 0. Which is the closest to 0.1? (a) f (b) l (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 212, 446, 680, 914?\n\"Answer: 234*o - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 + 37. What is the nearest to 2 in -3\/7, c, -2\/13?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.4249121 to 4 dps.\nAnswer: -1.4249","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.83 + 0.07. Let m = -3 + h. What is the nearest to 1 in 1\/4, 1\/3, m?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5951578, 5951579, 5951580?\nAnswer: 5951581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 18. Suppose l*k = k + 8. Is ((-38)\/k)\/(2\/(-6)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1096 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 697 is divided by 71?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-8) - (-147796)\/1232. Let c = 120 - a. Factor -2\/7*p**4 + 0 - c*p**3 + 2\/7*p**2 + 2\/7*p.\nAnswer: -2*p*(p - 1)*(p + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1862 divided by -133.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b - 5. Let z be y(-4). Let r be z\/6 - (-12)\/8. Let v = -1 + 0. Sort v, 0, r in increasing order.\nAnswer: v, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 2*s - 4*o + 10 - 54, -166 = -3*s + 20*o + 20 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 2*l + 1. Let u = -15 - -7. Let t be (1 - u\/(-4))*2. Let w be c(t). Is w < 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -0.4, 2\/15, -5, -2\/13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 - -46. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**2\/15 - 29192*j\/15 + 106521608\/15 = 0.\nAnswer: 7298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -3*i + 24, -3*q - q + 3*i = 27. Let x = 248\/13 - 19. Put 0.4, x, q in decreasing order.\nAnswer: 0.4, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of m**6\/60 - m**5\/10 + m**4\/4 - m**3\/3 + 2*m**2 + 42. Find o such that w(o) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 6, -2539 = 4*k + 3*r - 7081. Suppose 0 = 3*q - k - 852. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -11*n**2 + 9*n - 14. Let z(a) = -a**2 + 2*a - 2. Let q(l) = f(l) - 6*z(l). Let i(k) = k**2 + k + 1. What is 4*i(r) + q(r)?\nAnswer: -r**2 + r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 76, 32\/5, -1 in ascending order.\nAnswer: -1, 32\/5, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 7 = 2*y. Suppose y*l = 11*l. Suppose l = -2*x - 6*x + 104. What is the remainder when 25 is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -6*r**3 + 7*r**2 + 5*r - 7. Suppose 220 = -1804*b + 1760*b. Let g(u) = 7*u**3 - 8*u**2 - 6*u + 8. What is b*g(z) - 6*d(z)?\nAnswer: z**3 - 2*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 549 a factor of 479982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-5 - -7)) + -1 + -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -33.85 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -43 - -107. Let z = 109 + -91. Let w = c - z. List the prime factors of w.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(152)\/sqrt(4)*-6)\/(sqrt(8)*1 + sqrt(2)))**2 + (3 + 2*sqrt(475))**2*-6 + 4.\nAnswer: -11378 - 360*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 + 23. Factor 16*y**3 + 3*y**2 - y**3 - 3*y + 2*y - j*y + 9*y**4.\nAnswer: 3*y*(y + 1)**2*(3*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25814 is divided by 215?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 4:04 AM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-24)\/(-5))\/3)\/(1344\/1680)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 210147?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -4*n + 13. Suppose -b - b - 4*v - 2 = 0, -4*v - 17 = -b. Calculate the remainder when n is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 626734, 1253477, 1880220, 2506963, 3133706?\n\"Answer: 626743*c - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 722*c = 719*c - 33 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/3)\/(2\/3). Solve 1 = 3*b - j for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2911 and 123.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 2*h - 2. Suppose -4*s = -2*q + 2, 4*s + 1 = -q - 10. Let r(d) = d**3 - d + 1. Determine s*r(u) - p(u).\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**(1\/3))**(39\/7)*(a\/(a\/((a**(-5\/3)*a)\/a))*a)\/a**7*((a**(-4)\/a)**13)**(-1\/11) assuming a is positive.\nAnswer: a**(371\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*w**2*w*w)\/w)\/w*w**(-4\/5))**(-38))**(-22) assuming w is positive.\nAnswer: w**(9196\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 1417.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence enng when four letters picked without replacement from ncgenucnlenuccnnn?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**2 + u**2 - 4*u**2 + (-355*u - 175*u + 119*u)*(-2 + 0 - u + 0*u).\nAnswer: 409*u**2 + 822*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - (-35 - 6\/3). Suppose -4*n + 53 = -u. Solve -4*q = -3*c + n, 4*c + 4*q - 5*q = 12 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 8194081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(-36)*(-12)\/40.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 3 = f + 2, 0 = 4*f - 12 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6*72\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c + 10*c - 211*c**2 + 207*c**2)*(13*c + 6 - 6) - 4*c + 4*c - 5*c**3.\nAnswer: -57*c**3 + 169*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18319\/(-135030) - 6\/(-45). Let h = n - -51479\/16718. Find k, given that -8\/13*k**4 + h*k**2 + 4\/13 - 22\/13*k**3 + 8\/13*k**5 - 22\/13*k = 0.\nAnswer: -2, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -15, -218, -873, -2238, -4571, -8130, -13173?\n\"Answer: -43*w**3 + 32*w**2 + 2*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 16*r**2 - 5*r + 290. Let g(c) = -3*c**2 + c - 58. Give 2*d(m) + 11*g(m).\nAnswer: -m**2 + m - 58","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 736*f + 714*f - 1466*f.\nAnswer: -16*f + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-10)*(-70)\/(-84))\/(-1)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1161983035.\nAnswer: 5, 232396607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-66)\/(-48) + 9\/24*-1. Let r(k) = -1. Let d(c) = -93*c**2 + 14*c - 2. Let v(y) = j*d(y) - 6*r(y). What is the second derivative of v(w) wrt w?\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**5*k + 18*d**2*k*w + 2*d**2*w**2 + d*k*w**2 + 55*k*w**2 - 2*k*w wrt d.\nAnswer: 40*d**3*k + 36*k*w + 4*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(144)\/sqrt(3).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 10:07 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 140.54194 - 116.817438. Let o = r + -23.9245. Let k = o - -0.2. What is k rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 3*c + 376496 = 0, -3*s + 6*c + 225909 = 4*c. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 808032 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 74 - 69 = 0. Let s be (-56)\/((-4 + 2)*y). Solve -31*c = -s*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/31554 and 17\/22.\nAnswer: 347094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*22\/(-30))\/(653\/(-6530)).\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-2*(2 + sqrt(325))*3.\nAnswer: 24 + 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 x when four letters picked without replacement from xcxxccxcccxx.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**2 - 2*n**2 + 6*n + 0*n + 45 + 6*n**2 - 10*n.\nAnswer: n**2 - 4*n + 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 180*p**3 + 75*p**2?\nAnswer: 1080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -53*t + 2201 - 1300 for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 939758.\nAnswer: 2, 469879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q**2 - 4*q**2 + 0*q**2 + 5*q**2.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 23 + 7. Let q = r - -18. What is the least common multiple of (-96)\/15*(-15)\/6 and q?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 9*n**2 + 4*n + 5. List the prime factors of i(9).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 26 + 9?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -455*o**5 - 21830*o**4 - 261600*o**3 + 5760*o**2 = 0.\nAnswer: -24, 0, 2\/91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.38623, -3, -8, 2.8, -2?\nAnswer: 0.38623","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) 0.2 (b) 0.55 (c) 2\/13 (d) 0.015 (e) 184 (f) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1401*v + 7266 - 36021 = 18879 for v.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-one quarters of a meter?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**3 - x**2 - 2*x + 1. Calculate t(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0)**(-48)*j\/(j*j\/j**(-2\/9)*j)*j\/j**(-6) assuming j is positive.\nAnswer: j**(43\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5332.545cm in nanometers?\nAnswer: 53325450000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -50271, -100545, -150819, -201093?\n\"Answer: -50274*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 + 0*s**2 + s**2 + (-1 + 1 + 2*s)*(1 + s - 1))*(-3*s + 2*s - 3*s).\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v - 4*m - 5, 0 = 2*v + m + 4*m + 31 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, k: 1, v: 5, r: 1, i: 1}. Give prob of sequence irv.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -105340005*z**3 + 52626362*z.\nAnswer: -632040030*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 337*h**2 + h. Let n(a) = -33*a. Let w(b) = 15*b. Let m(z) = 4*n(z) + 9*w(z). What is v(m(k))?\nAnswer: 3033*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = 5*x + 252. Suppose -5*m + 13 = 3*b, 5*m - 9 = -4*b + 10. Calculate the remainder when 4\/(-18) - 736\/x is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -23, -3140621, -4\/3?\nAnswer: -3140621","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -136*t + 142*t - 12. Suppose t*o + 4*m - 272 = 0, 3*m - 31 = -2*o + 245. Calculate the least common multiple of 48 and o.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3050733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.1*2.944.\nAnswer: -32.6784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 321*b**2 - 740*b**2 + 404*b**2.\nAnswer: -15*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*q + 165 = -110 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*z - 1 + 1)*(60 + 75 - 243)*(-207 - 11*z**2 + 207 + (6 - 7 - 2)*(-z**2 - 2*z**2 + 0*z**2)) as n*z**3 + g + m*z**2 + w*z and give n.\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2073559659?\nAnswer: 3, 5441, 127033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 10:14 AM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14755 = -4*y - 3907. List the prime factors of y.\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*a + 3*p - 8, -4*p + 13 = -3*a. Let d be (-2)\/3*a*-3. Suppose 0*s - 10 = 2*z + d*s, 4*z - s = 5. Put 3, z, -4 in descending order.\nAnswer: 3, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 402 (b) -0.4 (c) 4\/185\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2334004 is divided by 2333990?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 854*g**3 + 52*g**2 - 26*g + 24. Let v(s) = 171*s**3 + 10*s**2 - 5*s + 5. What is -5*f(t) + 26*v(t)?\nAnswer: 176*t**3 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1857847?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -598740556 times -2?\nAnswer: 1197481112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 50\/15*720\/(-160). Let v be -4*3 - (2 + -2). Is v != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 + -12. Suppose 2*n - 159 = 3*r + 2*r, 330 = 5*n + r. Calculate the lowest common multiple of s and n\/3 - 1\/3.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 - 6*s + 3. Let n be j(-4). Suppose 0*m + 2*f + 33 = 5*m, -4*f + n = m. Suppose -15 = -t + 10. What is the remainder when t is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -144815.\nAnswer: 3\/144815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.0124001 - -0.306269\nAnswer: 0.3186691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 708 + -708.4. Let f = 0 - -0.2. Put f, -5, r in decreasing order.\nAnswer: f, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of -q**5\/12 + q**4\/6 - 13*q**3\/6 - 4*q**2 - 9. Let f(g) = -3*g**2 + 3*g - 9. Give -7*f(r) + 5*w(r).\nAnswer: -4*r**2 - r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/7))**(-1\/6) assuming k is positive.\nAnswer: k**(-1\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 3*d + 2. Let v be b(-3). Let n = 7 + 12. Suppose 0 = 4*g - 3*o - 24, 0 = -5*g - o - 8 + n. Solve -5*y + v*j + 25 = -3*j, g*j + 15 = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 100590360 rounded to the nearest one million?\nAnswer: 101000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**4)**(7\/4) assuming p is positive.\nAnswer: p**(35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 62, 331, 1068, 2507, 4882?\n\"Answer: 39*p**3 - 4*p + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47831830.\nAnswer: 2, 5, 41, 116663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - -3. Calculate the greatest common divisor of q and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5\/27 + 137\/594. Which is the fourth smallest value? (a) 0 (b) 0.3 (c) -5 (d) -2 (e) p\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-233 - 390*s + 233 - 325*s)*(-7*s**2 + 7*s**2 + 9*s**3) as n*s**2 + b*s**4 + y*s + c + m*s**3 and give b.\nAnswer: -6435","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5, 22, 65, 124?\n\"Answer: 8*g**2 + 3*g - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2505.886 smaller than 0.035?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3580 and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.3 minus -2392685455880?\nAnswer: 2392685455848.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + 11 - -25*(-12)\/(-30). Solve -92*v = -103*v - n for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - 7*y + 12. Let j be x(-8). Suppose -65 = 5*z + j*c, -2*c + 3*c + 14 = -z. Let b(f) = -f**2 - 8*f + 1. Determine b(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 5*s - 29. List the prime factors of l(17).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/11609129 and 2\/21.\nAnswer: 34827387","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, i: 5}. Give prob of picking 1 r and 2 i.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of -x**6\/120 - 7*x**5\/60 - x**4\/8 - 7*x**3\/6 + x**2. Calculate the remainder when 67 is divided by r(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000261537 rounded to seven dps?\nAnswer: -0.0002615","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 - 1.2. Let u be (-11)\/198 - 88\/(-288). Which is the smallest value? (a) 2\/5 (b) u (c) 2 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + (-6 + -25 - -29)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 204, 3, 5, -24 in decreasing order.\nAnswer: 204, 5, 3, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from npnrrrrxvnrnvzvrvxp. What is prob of sequence xnrr?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 103*k = 105*k - 76592, 3*d = -2*k + 114885. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -136 and 0.11214.\nAnswer: -15.25104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/15))**(2\/63) assuming t is positive.\nAnswer: t**(4\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k - 4*k = 7. Let d(p) = -p**3 - p**2 + p - 1. Let c(t) = 6*t**3 + 4*t**2 - 4*t + 4. Calculate k*c(r) + 4*d(r).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -23568, -93647, -210444, -373959?\n\"Answer: -23359*l**2 - 2*l - 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20152 and 66.\nAnswer: 60456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 9, 6*k = -2*x + k + 3. What is the third derivative of 6*j**4 + x*j**3 + j**2 - 9*j**3 wrt j?\nAnswer: 144*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 8*j + 60. Let g be (-28 + 34)\/(21\/j). Which is the second smallest value? (a) -0.06 (b) g (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 100701, 200392, 299073, 396744, 493405, 589056?\n\"Answer: -505*a**2 + 101206*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (2 - 0)) + (13 - 13).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -133*j**2 + 312*j**2 + 424*j**2 - 112*j**2 - 3 - j - 5*j wrt j.\nAnswer: 982","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6549?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 25169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of p**2\/2 - 3*p - 5. Calculate the remainder when 8 is divided by d(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 486\/11 + -41. Calculate the common denominator of k and -37\/193.\nAnswer: 2123","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2551 + 705. Let q = h - -5594\/3. Factor 98\/3*t**2 + q*t + 8\/3.\nAnswer: 2*(7*t + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 30 (b) -1 (c) 3\/35 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4 - 12) + (-1 - -14))\/(((-54)\/80)\/(-9))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 7*u**2 - 7*u + 1. Suppose 16*x - 20 = 11*x. Suppose -50 = -5*r - 4*f, 7*f = 4*r + x*f - 9. Calculate c(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -711*a + 2127. Calculate d(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 7 - 5 = 0. Suppose -5*k = 2*b - d*b + 17, -b + 3*k = -6. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 423 at most as big as 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14748008?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90)\/sqrt(2))\/sqrt(3)*2*1)\/(((sqrt(1188)*2 - sqrt(1188)) + sqrt(33))\/(sqrt(22)\/sqrt(2)*6)).\nAnswer: 12*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/14 and 63\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (287 - 482 + 261)*(7*q**4 - q**4 - 15*q**4) + (3 + 1 - 3)*(-q**4 + 4*q**4 - q**4).\nAnswer: -592*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 18477*i - 6. Let f be z(-2). List the prime factors of f\/(-128) - 1\/(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100832 (base 9) to base 12\nAnswer: -2a692","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (11*(-1)\/(-2) - 4)\/(3\/(-6)). Sort 7, u, 4, 35 in descending order.\nAnswer: 35, 7, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14371734928 - 1316\nAnswer: -14371736244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -359*w - 31. Let o(c) = 358*c + 41. What is -2*o(v) - 3*y(v)?\nAnswer: 361*v + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l + 8*l - 2*l. Let f(y) = y**2. Determine q(f(i)).\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of n**8\/20160 + n**7\/1680 + n**6\/360 - 37*n**5\/60 + 3*n**2 + 2. Let m(g) be the third derivative of f(g). What is m(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8.244102ml?\nAnswer: 0.008244102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 3)*((n**2 + 3*n**2 + 2*n**2)*(28*n**2 - 32*n + 32*n) + 18*n**4 + 0*n**4 + n**4) to a*n**2 + h*n + j*n**4 + t*n**3 + w and give j.\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2. Let s be 80\/(2\/1)*6\/(-8). Let q = s + 12. Let c be ((12\/9)\/(-4))\/((-3)\/q). Determine x(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that p**5\/3 - 67*p**4\/3 + 510*p**3 - 12800*p**2\/3 + 20000*p\/3 = 0.\nAnswer: 0, 2, 20, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 881868938?\nAnswer: 2, 440934469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4592512l in millilitres?\nAnswer: 459.2512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(312) + sqrt(312)*2*3)\/(sqrt(12)\/sqrt(2)*6))\/(3*2*(sqrt(20)\/sqrt(5) + sqrt(4))*-2).\nAnswer: -7*sqrt(13)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -210 (b) 148\/11 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -92790?\nAnswer: -27837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in millimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -p + 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**3\/2 + 26*q**2 - 819*q\/2 + 1944 = 0. Calculate q.\nAnswer: 9, 16, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 65 + 720241?\nAnswer: 7202a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cyufuyuuc. Give prob of picking 2 u.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of q**4\/4 + 6*q - 3. Differentiate h(c) wrt c.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -l - 41, 12*a - 16*a = -3*l - 163. What is the second derivative of -156*h - 3*h**2 - a + 16*h + h**3 + 40 wrt h?\nAnswer: 6*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 196042 - 196041.99836186. Round u to 5 dps.\nAnswer: 0.00164","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**2 - 56*k + 1179. Let j be l(-42). Let m be 25 - 0\/(2\/1). Suppose 0 = -j*s - 4*c - 3 + m, -s = 5*c - 22. Sort -3, s, 3, 5 in descending order.\nAnswer: 5, 3, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12618253855 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -4\/303?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38) - sqrt(38)*1)\/sqrt(2) + sqrt(304)*-2 + ((sqrt(133) + sqrt(133)*-3*-2 - sqrt(133))\/sqrt(7))**2 + 2.\nAnswer: -8*sqrt(19) + 686","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/465576 and -55\/1824.\nAnswer: 1862304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z. Let y be (-126)\/4 + (-5)\/(-10)*-1. Let b be y\/80 - 34\/(-10). Let x(p) = -5*p**2 - 4*p + 0 - b + 3. Determine q(x(t)).\nAnswer: 10*t**2 + 8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, j: 1, o: 1, b: 2, t: 1, u: 1}. Give prob of picking 2 b and 1 u.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99549107 - -4.\nAnswer: -99549103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2407.938477 + -84.3\nAnswer: -2492.238477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-833)\/196 + (0 - -6) - 2.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1768 and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14099738 divided by 190537?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 25267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t - 5. Let l be c(-6). Suppose i - 3*z = -18, 5*i - 2*z = -l - 18. What are the prime factors of (-29)\/i - (-18)\/(-27)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*o + 0)*(-9 + 8 - 11).\nAnswer: 36*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 c when four letters picked without replacement from gciicggcobogocoo.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 13 + 5 + (0 - 4). Differentiate 1 - 15*r + q - 17*r**4 + 15*r wrt r.\nAnswer: -68*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5180 is divided by 1294.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3891)\/(-1845) + -2 - 2\/15. Is 1 >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 478, 5, 1234, -1 in decreasing order.\nAnswer: 1234, 478, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y + 53. Suppose 50 = -4*v + 6*v + 4*s, -3*s + 28 = v. What is the remainder when 77 is divided by x(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -22*t**3 + 2*t**2 - t. Determine w(1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -3*z + 371, 16*z = 5*f + 12*z - 939. List the prime factors of f.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/280 and 39\/4?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 152 - 131. What is the highest common divisor of h and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -6. What is the highest common factor of 2 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9592793?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00580834048 to five decimal places.\nAnswer: 0.00581","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 3 = q. Let i(k) = -168 + 331 - 168 - k**2 - 8*k. Determine i(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, a: 2, l: 3, o: 1}. What is prob of picking 2 l and 2 a?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-5)\/((v**(-10\/7)\/v*v)\/v) assuming v is positive.\nAnswer: v**(-18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 191715 and 1.1.\nAnswer: 191716.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/((-225)\/(-1)))\/((39\/18)\/13).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1824\/2280)\/(1*2\/(-40))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4881839.87064712 - 30867.72939388. Let l = h + 4912714. Let b = l + -6.4. What is b rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58367 divided by 681?\nAnswer: 58367\/681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -127638854, -255277706, -382916558, -510555410, -638194262, -765833114?\n\"Answer: -127638852*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-2670)\/24)\/(2325\/(-100) + 22)\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m - 2*m + 7*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17 and 17938?\nAnswer: 304946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11347 + -0.1.\nAnswer: -11347.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*v**3 - 26*v**3 + 153*v**2 + 40*v**3 + 15*v**3 - 62*v**3 - 153*v**2 + 13*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 207, 200, 189, 174, 155?\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -7 (c) -0.1014 (d) 0.4 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213 + 245 = 32*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 512042239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -80400 (base 16) to base 7\nAnswer: -4315344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3 + 15340*w**2 - 14714892*w + 14699556.\nAnswer: -4*(w - 1917)**2*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 15 = -0*y, 0 = -f + 4*y + 22. Let h = 13 - f. Solve -r = d - 3*r - 8, -h*r = -2*d + 13 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33*t**4 + 11784*t**3 + 1794*t + 37 wrt t.\nAnswer: 396*t**2 + 70704*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away -14274593892?\nAnswer: 14274593890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 539675 = -5*h, -2*h + 4*k = 2*h + 431724. What is the tens digit of 15\/9 - 2 - h\/96?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 378 and 63?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 5 - 2)*(538*l + 0 - 355*l + 0) to g*l + o and give g.\nAnswer: -2379","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*l**3 + l**3 + 0*l**3 + (3*l**2 - 11*l**2 + 20*l**2)*(-2 + 2 - 6*l) in the form b*l + r + f*l**3 + i*l**2 and give f.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*1 - 11137\/(-10241). Let q = g + 5\/1463. Find the common denominator of q and -58\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 1 (c) -25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 61\/24*(-30)\/(-14). Let s = 39\/7 - p. Let n(d) = -531*d + 3717. Let o be n(7). Which is smaller: s or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {r: 8, t: 5, o: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -1760*f**4 + 3*f**3 - 31*f - 13. Let v(r) = 1761*r**4 - 2*r**3 + 32*r + 9. Let g(a) = 2*b(a) + 3*v(a). What is the second derivative of g(q) wrt q?\nAnswer: 21156*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f**3 + 2*f**5 + 4*f**3 + (4 - 1 - 5)*(-2*f**5 - f**5 + 4*f**5) - 4*f + 4*f - 3*f**5.\nAnswer: -3*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -21*(-1)\/5 + 8\/(-40). Suppose -2*w - 2*t - x = 0, 5*w - 2*t + 3*t + 22 = 0. Let j = 118 + w. List the prime factors of j.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 171*b**6 + 16*b**4 - 8684*b**2?\nAnswer: 20520*b**3 + 384*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**5 - 2*d**5 + 0*d**5 + (-d**5 - d**4 + d**4)*(-1 - 2 + 4) + 52*d**5 - 207*d**5 - 333*d**5.\nAnswer: -490*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 569 is divided by 72.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 9 = 3. Suppose 2*k - t = 0, -2*k + 6 = -n - 1. What is the remainder when 32 is divided by ((-24)\/(-2) + n)*1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2502.\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1456641511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*y = -1902 - 52129. What is the lowest common multiple of 5 and y?\nAnswer: 3805","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 12060532, 24121034, 36181522, 48241990, 60302432, 72362842?\n\"Answer: -a**3 - a**2 + 12060512*a + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 102\/5 + -20. What is the smallest value in k, -4, 1, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15864 * -15247.\nAnswer: -241878408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*t - 27 = 0, -3*z + t = z - 29. Suppose 2 = 2*s - z. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*o - o = 108 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of -f**4\/24 - 1757*f**2. Suppose -40 = z + 7*z. Let k(s) = 2*s - 2. Calculate z*d(b) - k(b).\nAnswer: 3*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/3, 0.3, 4, 0.6, -14?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 163, 0, 2, -6 in descending order.\nAnswer: 163, 20, 2, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*x - 12 = -12 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 807 = 10*g - 393. Let p(m) = -43*m**2 + g*m**2 - 40*m**2 - 41*m**2. Let y(u) = 11*u. Calculate p(y(b)).\nAnswer: -484*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 19.703, 2.79 in increasing order.\nAnswer: -2\/5, 2.79, 19.703","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -11*w + 24. Let b be a(5). Let h = b + 37. Let r(k) = -7*k - 200 + 9*k + 191. Determine r(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2969.8249 rounded to 0 dps?\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 106171.8ml in litres?\nAnswer: 106.1718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 5. Suppose -3 - 13 = -2*k + r, 2*k + 5*r + 8 = u. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -3*z - 2, -5*z = 2*x - 3*z - 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -19.198 (b) 1.4 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 9:51 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and 144277795.4.\nAnswer: 144277800.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*z - 109627 = 740187 + 547966. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347244005 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 4*(1*sqrt(475) + -1) + 2*((sqrt(1216) + 1 - sqrt(1216))*6 - (-3 + 1 + sqrt(1216) + sqrt(1216))**2).\nAnswer: -9732 + 148*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.00199 - -0.001975695. What is g rounded to 7 dps?\nAnswer: -0.0000143","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.2+73477902.2357\nAnswer: 73477904.4357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122257.\nAnswer: 179, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 1346\/51479 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**3 + 3*m**2 - 20 - m + 34 - 12 to the form d*m**2 + j*m + v*m**3 + i and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/16 - 21\/4. Let l be t\/3*(2 - 110). Let c = 44 - 24. What is the greatest common divisor of l and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 divided by -18406523.\nAnswer: 23\/18406523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1093\/9 + 2909\/45. Let u = b - -57. Let o = 0.8 - 1.3. What is the nearest to 3\/5 in 5, u, o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 - -23. Is g less than or equal to 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0.05, -16, 1\/473, 12?\nAnswer: 1\/473","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 307 - 306.9. What is the second biggest value in -0.3, r, -2\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1360.6 rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 40 (b) -2 (c) -47 (d) 1\/2 (e) 5\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -158024 divided by -6?\nAnswer: 79012\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -2*s + 7 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 11, 22, 43, 80, 139, 226?\n\"Answer: m**3 - m**2 + 7*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 2*f + 3*j - 13, -f + j + 2 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 74. Let g = -25 + i. Let w = g + -34.006. Round w to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 18 - (-2 - -10) - -6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24543815?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 15*z**2 - z - 1. What is the remainder when 26 is divided by j(-15)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -407, -14 in increasing order.\nAnswer: -407, -14, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j - 3*j + j.\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 475 bigger than 476?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 317*q**2 + 22043*q + 275. What is v(-214)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 11*k - 70. What is the nearest to 1 in 2, 1\/3, k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -455 - -892. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -141 + 2*w - 6*w + 4*w**2 - w**3 + 156. Calculate z(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1361 minus -4935?\nAnswer: 6296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 400 is divided by 12\/2*(-8339)\/(-1614)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 702, -1517 in descending order.\nAnswer: 702, 1, -5, -1517","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21456.9 - 21457. Let w = -59 - -297\/5. Let r = w + 4\/15. Which is the biggest value? (a) r (b) p (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3 (b) -27 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 608\/988 + (-346)\/520\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - n + 21 = -16, -4*j + 3*n = -32. Suppose 8 - 2 = 3*c - 4*x, 6 = 2*x. Let v(t) = 8*t - 5. Let l(r) = -15*r + 9. What is c*l(w) + j*v(w)?\nAnswer: -2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -51.549 - 1.151. Let a = g - -56. Let d = 3 - a. What is the third biggest value in 3, d, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) -4 (b) 3 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25303*j = -25363*j - 240 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286 is divided by 86?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 2*i + 1002 = 1008, p - 9 = 2*i for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w + 3*r + 6, -9*r = -2*w - 10*r for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2 + 2805531380*q + 393550316208235220.\nAnswer: 5*(q + 280553138)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1))**14)**20 assuming s is positive.\nAnswer: s**(-280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (-2 + -18 + 24 + -12).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 143877?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3883 divided by 5?\nAnswer: -3883\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/8 (b) -16 (c) 1\/2 (d) 4\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + sqrt(117)*1*3 - (-2*sqrt(117) + 2) - -5*(sqrt(117) + 4*sqrt(117) + -1 + -2))**2.\nAnswer: -3162*sqrt(13) + 112726","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -14*r + 1699. What is the greatest common factor of 8 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 less than 35?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 49*c**2 - 274*c - 112. Give r(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 76170, 152348, 228526, 304704, 380882, 457060?\n\"Answer: 76178*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -618 + 622. Let o(x) = -x**2 + 6*x - 2. Calculate o(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 1:49 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4*w - 2 = 0. Differentiate -w*s**2 - 2 + 14*s**2 + 29 wrt s.\nAnswer: 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -103, -211, -317, -421, -523?\nAnswer: -623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36040105202 - 36040105202 + 11*y.\nAnswer: 11*y","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) - (sqrt(121)*2 - sqrt(121)))*1)\/sqrt(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8335 - -8340. Let f(n) = 0 + 4 + 2*n + 0. What is f(v)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 0 - (4 - -1). Let p = 5 - z. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - ((357\/68)\/7 + (-35)\/4). Solve b - n - 4 = -4*x, -5*b - 50 = -5*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 3\/5918?\nAnswer: 3\/5918","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 38082 divided by -12694?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + q - 1 = 0, 0*s - 2*s - 21 = 5*q. Let i(k) = -371 + 2*k + 2*k + k**s + 367. Calculate i(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 18 = 4 - 2 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 8, -2, 2, -3 in ascending order.\nAnswer: -4, -3, -2, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**2\/2 + 52400877*n + 915283970123043\/2 = 0. Calculate n.\nAnswer: -17466959","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -15*s + 2. Suppose 2*j + 2 = 3*g, -28 = 3*g + g + 5*j. Let a be k(g). Let l = -22 + a. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(132) + (sqrt(132) - (-1*sqrt(132) - sqrt(132)))))\/(sqrt(1500)\/sqrt(5)).\nAnswer: 24*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/20 - (0 - 34\/(-70)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120895 is divided by 93.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 + 46. Let w be 6*(0 - 21\/(-9)). Let a be (-4)\/(-4) + -3 + w. Which is bigger: u or a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 23.57, -2\/5, 0, 0.1, -11, 0.3, 2?\nAnswer: 23.57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/29)*t**(-22))\/((t\/t**(-4\/9))\/t)**32 assuming t is positive.\nAnswer: t**(-9427\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6.1 and 0.7?\nAnswer: -4.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.073 - 0.473. Put k, 1\/5, 3\/2 in ascending order.\nAnswer: k, 1\/5, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.855 rounded to two decimal places?\nAnswer: -1.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -219.6 - -32.866748?\nAnswer: -186.733252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + ((4 - 2) + 2 - 10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 8*u**2 + 1187*u + 35936. Give f(-106).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2958.\nAnswer: 2, 3, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2992 + 1997 - 3*u - 2390 to the form q*u + h and give h.\nAnswer: -3385","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(sqrt(132)\/(-2*sqrt(11) + sqrt(11))))**2*-2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 1. Let s = c - -3. Let h(m) = -m**2 - m + 8. List the prime factors of h(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 21*p**2 + 71*p + 19. Let o be u(24). Let h be -2*o\/(-5 - 51\/(-9)). Sort -3, h, -2 in increasing order.\nAnswer: -3, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -da?\nAnswer: -dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j + 7*j**2 + 9*j - 2 + 6 - j**3 + 7*j. Suppose 4*o - 39 = y, 4*y + 21 = -2*o + 3*o. Let b be v(o). Put -1, 0, b in descending order.\nAnswer: 0, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 32\/12*15 + -4. Suppose 7*s = 11*s - t. Let o be s\/(27\/660)*-10. What is o rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -192? (a) -4\/3 (b) 3 (c) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -230*d**5 - 4*d**4 - 690*d - 2 wrt d?\nAnswer: -4600*d**3 - 48*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 6*s + 17. Let q be t(5). Let o = 55 - q. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(112)*1 + sqrt(112))*-6 - (-2 + ((1 + sqrt(7))*6 - (sqrt(7) - (2*sqrt(49))\/sqrt(7)))))**2.\nAnswer: 440*sqrt(7) + 21191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 329 and -11\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26627901 and 888?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n**3 + 198270*n**2 - 651389*n + 169926 = 0. Calculate n.\nAnswer: 2\/7, 3, 28321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2 or 1444?\nAnswer: 1444","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 20) + -2 + (5 + 4 - 0).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 207\/8 (c) 1 (d) 187\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1d9da4 (base 16) to base 15\nAnswer: -285135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14797865 divided by 5.\nAnswer: 2959573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - (-6 - -4) - -2. Suppose -7 = -g*i + 11. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 158.95 - 159. Let u = d - -5.05. Suppose 2*n + 4*o = 6*o + 20, -2*n = 3*o - 30. Put u, -4, n, 0 in decreasing order.\nAnswer: n, u, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 387 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i*q**2 + 3*i*q - 21*i - 55*q**2 - 3*q - 2 wrt q.\nAnswer: -4*i - 110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3*n - 13. Let o(m) = 3*m + 12. Let y(w) = 6*a(w) + 5*o(w). Calculate the remainder when 69 is divided by y(-12).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.3, 1.89.\nAnswer: -3, 0.3, 1.89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, z: 7, k: 6}. What is prob of sequence kv?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-39)\/36 + 28826\/(-4872)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -i**4 + 34*i**3 - 320*i**2 + 542*i - 255 = 0.\nAnswer: 1, 15, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4549498655?\nAnswer: 5, 13, 67, 211, 4951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52.44389 milligrams to nanograms.\nAnswer: 52443890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/6*261\/(-116). What is the greatest common factor of l and 57?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/7 (b) 1.2 (c) -12 (d) 0.8133 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + -11.95. Let z = 107.95 - 108. Let j = v + z. Which is greater: -3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2763 = 5*x - 3*t - 2739, 32 = 4*t for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.027971 rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 5*v - 16. Suppose v*u = -q + 10, -6 = -q - 3*u + 2. What is the least common multiple of 4 and 2\/(q*(-1)\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115825565 to the power of 1\/2, to the nearest integer?\nAnswer: 10762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24*x**2 + x + 20*x**2 + 20*x**2 wrt x.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (16 - -4) - (15 + -26)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2471*h - 14833. What is y(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-1\/4))\/((p*p**(-2\/17)\/p)\/p))\/((p\/p**3)\/p**(-2\/21)) assuming p is positive.\nAnswer: p**(5387\/1428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/6*(-15)\/2. Calculate the smallest common multiple of 20 and (-148)\/(-18) + h\/45.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z + 28. Let c be l(12). Suppose 5*q - 2*b - 168 = 0, c*q + 2*b = -b + 139. What is the greatest common divisor of q and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1677 less than -584733.757?\nAnswer: -586410.757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 + 0.2. Let w = -62.044 - -62. Let m = 0.056 - w. What is the nearest to m in 3, -5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 - 26. Suppose 4*a = 4*z - 8, m*a - 8 = -4*z + 8. Let q(b) = 3*b + 2. Calculate q(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 527 a factor of 1435096788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1455553 + 1?\nAnswer: 1455554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 41 - (-8 + 39 + -21 - -13)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in -37, -0.1, 2\/33, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10608 + 11316. Does 21 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*g**3 - 3178782*g**2 - 142*g**3 + 1589396*g**2 + 1589386*g**2.\nAnswer: -224*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -v**2\/8 + v\/2 + 5\/8 = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**2. Let p(c) = 101*c. What is p(f(x))?\nAnswer: -202*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1180669345, 1180669340, 1180669333, 1180669324, 1180669313, 1180669300, 1180669285?\nAnswer: 1180669268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 336, 677, 1020, 1365, 1712, 2061, 2412?\n\"Answer: g**2 + 338*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2177214 (base 11) to base 2\nAnswer: 1110100011101100101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6956?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/5, -3.1, 3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*n - 5*w - 215, -n - 43 = -w - 54 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -15*r + 1. Let y be t(6). Suppose x - 117 = -4*w - 0, 249 = 2*x + 3*w. Let j = x + y. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 4*g - 48 = 0. What is the lowest common multiple of g and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 5*m**3 - 2*m**2 + 1. Let z be j(1). Let u be 1644\/(-9) + z\/(-12). Let i = u + 346. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = -13*n + 21 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + sqrt(17)) + sqrt(17) + (-2*sqrt(68) - sqrt(17))**2.\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*s + 72, 4*s = -4243*k + 4246*k - 22 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*x = 16*x + 111781 - 108631 for x.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*a*r**3*u**2 + 2*a*r*u**2 + a*r*u - a*u**2 - 8*a*u + a - 4*r**3*u wrt u?\nAnswer: -28*a*r**3 + 4*a*r - 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**2 - r**2 - r**2 + (-3*r + 2*r + 2*r)*(-2*r + 4*r + 0*r) - r + r**2 + r + (0*r - r + 2*r)*(2*r - 7*r + r) to the form p*r**2 + c*r + j and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 184\/(-2)*(-2 + 0). Suppose -5*t + 271 = -x. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -505 and 741014?\nAnswer: -374212070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 202 and -3.229.\nAnswer: 198.771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-2\/5)\/t*t)\/((t**35\/t*t)\/t*t))**(14\/13) assuming t is positive.\nAnswer: t**(-2408\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 510?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 52*i - 3. Let o be t(2). Let d(z) = -o + 101 - 2*z**2. Let k(r) = -4*r**2. Determine k(d(a)).\nAnswer: -16*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = k. Let m(l) = -l**2 - 7*l - 6. Let s be m(-4). Suppose 4*c - 2 - s = 0. Solve 2*a - 5*x = 6, k*x = -c*a - 2*x + 6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 514620 - 53088 = 0. Suppose -5*m + c = -0*m - 1230779, -3*m + 3*c = -738465. Let z = t - m. What is z rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 2*i + 6, -5*i = 4*s - 10*i - 1. Let l(v) = 9*v**3 - v**2. Give l(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -85, 1139, -69 in ascending order.\nAnswer: -85, -69, 1139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 248313, 247339, 246365, 245391?\nAnswer: 244417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/7 and 40\/7259?\nAnswer: 7259","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - -1)\/(-5 + 3). Let z(q) = 8*q**3 - q**2 + q - 1. Let t be z(y). Let u = 0 - t. Is -7 equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = -15*i - 48. List the prime factors of 2*2\/i*-420.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 465477 to the nearest integer?\nAnswer: 682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*z**2\/3 + 718*z\/3 - 638.\nAnswer: -2*(z - 87)*(4*z - 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4*x = -298, 557 = 2*r - 6*r - 5*x. Round r to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 562747.\nAnswer: 89, 6323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4863986299 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + 7*z + 7. Suppose 0 = -4*q - 0*q - 24. Let o be u(q). Find the common denominator of -53\/2 and o\/(-5)*670\/16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2 = -5. Let v be (4 + 2)*s\/(-21). Find r such that -4\/7*r - v*r**2 + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 120 + -68 + (-11 - -12).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 133244 + -2?\nAnswer: 133242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4.5, 0.9 in decreasing order.\nAnswer: 4.5, 0.9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + t - 3 = 0. Let h = 12 - t. Calculate the lowest common multiple of 47\/7 - 2\/(-7) and h.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8381426344 to four dps.\nAnswer: 0.8381","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -183 + 25912267?\nAnswer: 25912084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*y - 25707000 = 28*y - 59*y. What is y rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.7 - -0.7. Let q = 1\/32 - 9\/32. Let r = -0.103 - -0.003. Which is the second smallest value? (a) r (b) y (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/17 in 53, 9, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(495)\/(1*(sqrt(144) - sqrt(9))))\/((-1*sqrt(132)*2)\/(sqrt(1200)*-2))*2.\nAnswer: 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -122\/5 - -24. Let i = -4 + 41. Let u = -36.7 + i. Which is the biggest value? (a) u (b) k (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -114*b + 107*b + 14 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 193 - 136. Calculate the remainder when i is divided by 19 - 2*(-3)\/6.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(75) - (-5 + sqrt(3)*3)**2.\nAnswer: -56 + 35*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {r: 2, b: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-191 + 95 + 82)*(5*v**5 + 7*v**5 + 3*v**5).\nAnswer: -210*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.176 - 0.176. Let v = 5 - b. Let q = -0.7 - -0.4. What is the nearest to 2 in v, q, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sb when two letters picked without replacement from ssibcshssbhhbbs?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 AM and 6:07 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -4. Let a(k) = -k**3 + 2*k**2 + 3*k + 3. Let i be a(t). Let b(f) = 20*f + 786. Let g be b(-40). Sort i, g, 1 in decreasing order.\nAnswer: i, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/40 and -65\/12?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 497, 3808, 12769, 30206, 58945, 101812?\n\"Answer: 471*d**3 - d**2 + 17*d + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 - -3 - (-27)\/(-3). Let j(l) = l**2 + 3*l + 1. List the prime factors of j(s).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -18\/7 and 9\/55.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + 20*d + 32. Does 8 divide c(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirteen fifths of a hour?\nAnswer: 9360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2453878+1631328.67\nAnswer: -822549.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181430069?\nAnswer: 17, 19, 561703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1151226347 to the nearest integer?\nAnswer: 1048","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -13*q. Calculate the remainder when a(-1) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.17, 0, -0.59, -4724, -0.5, 0.5, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 not equal to -4230\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-95*p + 194*p - 101*p + 340*p**2)*(-4 - p**2 + 4) to o*p**4 + g*p + c*p**2 + i + r*p**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 - -3*40\/15. List the prime factors of (-14868)\/(-70) + a\/(-10).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27883 + 418294\/15. Let f = 27 - 87\/4. Calculate the common denominator of w and f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15a6ea (base 15) in base 11?\nAnswer: 656274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1296, 2, 0, 4, 1, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 9 = 3*k + 2*k, -5*k = n - 29. Solve p = n*z + 16, 3*p = 4*z + 19 - 3 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7.8 in -2, 2, 1, -56, 277, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(98) - (3*(sqrt(98) + 1) + sqrt(98)))*6 + -5)*-3)**2.\nAnswer: 834624*sqrt(2) + 4648464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (16\/(-12))\/(-2) + 50\/6. Let y(f) = f**2 - 6*f - 23. Let v be y(n). Factor 16*k**2 - 2*k**5 + 75*k**v + 4*k**2 + 45*k**3 + 7*k**5 - 45*k**4.\nAnswer: 5*k**2*(k + 1)**2*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 630*p**2 + 5*p**3 - p + 628*p**2 - 3*p**4 + 8*p**4 - 1160*p**2 to g*p**4 + o*p + d*p**2 + y + v*p**3 and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3845?\nAnswer: 5, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -22839, -45774, -68699, -91608, -114495, -137354?\n\"Answer: x**3 - x**2 - 22939*x + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 2. Let r(d) be the third derivative of -2*d**2 - 1\/24*d**4 + 1\/6*d**3 + 0 + 0*d. Calculate r(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 10}. Give prob of sequence ff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -1. Suppose -3*f = -y - i, 0 = -3*y + f - 4*f + 27. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 363373 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1152)*-1 - sqrt(1152))\/(2*sqrt(4)*6))**2 + -6*(((sqrt(2) + 2)*4)**2 + sqrt(2) + -4).\nAnswer: -390*sqrt(2) - 544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 6994*c + 4. Let m(f) = 2331*f + 1. Determine -10*m(l) + 3*z(l).\nAnswer: -2328*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*l + 1290674 = -166584. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7*(-8)\/(-56))\/(135\/189).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 4 = v. Let m be 6\/(-1)*4\/(-24). What is the biggest value in m, v, 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 71008 and 1120?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3601587 to the power of 1\/2, to the nearest integer?\nAnswer: 1898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 82 - 126. What is the common denominator of -79\/14 and p*(3\/(-40) - (-6 + 6))?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**3 + 28*u**2 + 1372*u + 10976 = 0. Calculate u.\nAnswer: -14, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 225*i - 225*i + 2*i**2 - 142 in the form t + q*i + c*i**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-760)\/(-32) - 1\/(-4) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*s + 3*s - 84. Let w be (2\/s)\/((90\/27)\/(-10)). Solve -15 = -v - 5*g, 2*v + 3*g - 9 = -w*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1154, 1155, 1158, 1163?\nAnswer: 1170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(-20) + 200291\/4340. Find w such that 924\/5*w**3 + 256\/5*w - x*w**4 + 384\/5 + 4*w**5 - 1352\/5*w**2 = 0.\nAnswer: -2\/5, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 278180902?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2223*s**2 - 3*s - 2. Let n be u(4). Suppose -8*f - n = -7554. Round f to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + 10*d + 3. Let n be b(10). Let w be (6\/147)\/((-3)\/n). Suppose 2*h = -5*p + 3, 5*p - 2*p + 3*h = 0. Which is smaller: p or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 4*p + 2*p + 26, -k - 4 = 5*p. Let n = 5 + 6. Let m = n - k. Solve g + m = 2*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 12836878\nAnswer: -1283687.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 4*y = -196. Calculate the remainder when 1647 is divided by y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1637, 3279, 4943, 6641, 8385?\nAnswer: 10187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (69 + 39 - 9)*(6*h - 4*h + 4*h) + 6*h - 2*h - h.\nAnswer: 597*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -16*s - 65. Let z(n) = -19*n - 78. Let o(b) = 6*d(b) - 5*z(b). Let c(h) = 10*h + 37. Determine c(o(u)).\nAnswer: -10*u + 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/7)\/(5971\/83594).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 - (2 - 4)*-2. Let o be (z - 3)*10\/(-105). What is the second smallest value in o, -0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -694 + 699. Solve g - 2 + 0 = 0, 3*l = -4*g + m for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13289, 53150, 119561, 212528, 332057?\nAnswer: 478154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrp when three letters picked without replacement from rprrprrpppprp?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -2162\/5893 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 361 + -193. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 692?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*i - i + 2*v, -5*i = -4*v - 4. Let g = i + 5. Put 1, g, -5 in increasing order.\nAnswer: -5, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 797 = 6*d - 3121. List the prime factors of d.\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12339872 to the nearest 1000.\nAnswer: -12340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 7 (b) -4 (c) -1\/4 (d) -1.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -17*a**2. Let n = 269 + -267. Let t(h) = -2*h**2 - 2*h**n - 3*h**2 - 3*h**2 + 4*h**2. Calculate -4*g(s) + 11*t(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15908.\nAnswer: 2, 41, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 - a?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 273729693?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -471 = -45*y - 488 - 1153 for y.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 25, 25, 23, 19, 13?\n\"Answer: -z**2 + 3*z + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**4 + 5 + 4*r - 2 - 3*r + 3*r**4 as z*r + m*r**3 + l*r**4 + k*r**2 + x and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 4*d + d)*(-434 + 174 - 685 + 257 - 364).\nAnswer: -3156*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i. Let w(f) = -10*f. Let q(z) = -16*z + 21. Let x be q(5). Let t = 66 + x. Suppose -p = t*p - 64. Give p*d(c) - w(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + -21. Let m(d) = -d - 8. Determine m(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -1099*k + 13456. What is o(14)?\nAnswer: -1930","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*c**2 + 5*c**2 - 39*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*k - 5*k - 7*k + 2 - 5*k as a*k + j and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12902 - 5?\nAnswer: 12897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105 and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in -0.3, -3, 0.08, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100 = -1360*w + 1350*w for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1071865?\nAnswer: 5, 214373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-15)\/6)\/(2\/(-4)). Suppose -1 = o*z - 6. Let n(c) = c**2 - 10*c - 28. Let g be n(12). Sort z, g, -0.3.\nAnswer: g, -0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -166304848 divided by -83152424\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-3) - (0 + -1). Suppose -x*r = 2*o - 178, -o + 4*r + 206 = o. Let g = 190 - o. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 336 divided by 4?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2002541 divided by -5?\nAnswer: 2002541\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 divided by -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -165 - -165. Solve a = -19*x + 18*x + 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 156 + -150. Let s be ((-28)\/n)\/((-58)\/1131). What is the greatest common divisor of 14 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-34103.\nAnswer: 170515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8615831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gahu when four letters picked without replacement from {g: 2, h: 3, u: 1, a: 4}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 642577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 144266250 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/10)*n)\/(n*(n**(3\/2)\/n*n)\/n)*n**(1\/9)*n**2 assuming n is positive.\nAnswer: n**(68\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1073460 and 141?\nAnswer: 50452620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - 4*m - 20. What is s(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 51010749 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67784 + 21906 = -z + 3*d, 2 = d. What is the ten thousands digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2064, 19, 6 in ascending order.\nAnswer: 6, 19, 2064","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 4*m + 10 = 0, -20 = -4*m - 28 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 3*w - 13, 2*v + w = 4*v - 3. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 248430 and 108030?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -1\/15*d**6 + 1\/60*d**5 + 4*d**2 + 0*d + 0*d**3 + 5 + 1\/24*d**4. Let z(v) be the second derivative of l(v). Determine z(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 8*w**2 + 10*w - 4. Let y be n(9). Suppose 0 = y*c - v - 159, 132 + 0 = 4*c + 4*v. Calculate the remainder when 34 is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/(sqrt(12)\/sqrt(6)*-6 + sqrt(2)).\nAnswer: -sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3064377?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -10*l - 116. Calculate the smallest common multiple of 99 and c(-16).\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/3))**(-12))**(-49) assuming d is positive.\nAnswer: d**392","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**5\/7 - 52*z**4\/7 + 72*z**3\/7 + 3888*z**2\/7 + 19872*z\/7 + 31104\/7 = 0. What is z?\nAnswer: -6, -4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 - 16. Suppose -2*x = 4*v - 62, 2*x + 2*x - 179 = p*v. What are the prime factors of x?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -2. Let t = g + 5. Solve -t*a - 1 = 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 586 is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h - 228 + 628 = 0. Are h and -3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/35 or 1?\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -3*a**4 + 8994*a**3 - 107496*a**2 = 0?\nAnswer: 0, 12, 2986","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 184*k. Let m(h) = 7*h. What is m(q(x))?\nAnswer: 1288*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 4*x**5\/5 - 166*x**4\/5 + 1498*x**3\/5 + 4748*x**2\/5 + 1144*x\/5 - 1936\/5 = 0?\nAnswer: -2, -1, 1\/2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 3*a + 339, 4*d + a - 227 - 34 = 0. Calculate the remainder when d is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -176 + 174.42. Let y = 1.78 + l. Is y bigger than 2\/51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 84*i**2 - 235*i - 650. Determine b(81).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -4. Suppose 3*o - 79*v = -80*v + 3, -2*v = -2*o - 6. Put o, 0.2, c in decreasing order.\nAnswer: c, 0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8877 + 8901. What is the least common multiple of b and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 895895724 a multiple of 692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 34*p**4\/11 - 254*p**3\/11 - 4482*p**2\/11 - 16362*p\/11 - 18360\/11 = 0. Calculate p.\nAnswer: -60\/17, -3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 11:47 AM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-15)\/(-6))\/(1\/(-4)). Is (j + 8)*(-54)\/4 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-374) - 4\/34?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -45 + 56 + (1 - 1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o - 2 + 1 + 0*o)*(79*o - 3 - 152*o + 74*o).\nAnswer: -3*o**2 + 8*o + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/70*4\/(-6)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/442 and 33\/111197.\nAnswer: 2891122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102655?\nAnswer: 5, 7, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 1386831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*a + 3 - 3.\nAnswer: 57*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 1090.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 51176679 and 51176679 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 13 (b) 11504 (c) 40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.2 - -4.3. Let w = j - 2. Let r = w + 0.1. What is the second smallest value in -3, r, 0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8844490717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000123768 rounded to five dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -9. Suppose -17 = -k*p - 5*q, -2 = -0*q - 2*q. Let j = 31 - 29. Which is the closest to j? (a) -5 (b) p (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hk when two letters picked without replacement from {k: 1, h: 1, b: 1, t: 1, y: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -64 - -77. Let q = 1 + -1. Solve 4*g = -5*o + 33 - a, q = o for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-8) + (-374)\/(-4). Let n = -34 + a. Suppose -c + 29 = 3*h + 6, 0 = 5*c + 4*h - n. Solve 12 = 4*f - c for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17696955 is divided by 346999?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 b when two letters picked without replacement from brrbrr?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 f when two letters picked without replacement from {f: 7, j: 1, u: 6}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10340 - 10338. Let l(n) be the first derivative of 17 - 8\/3*n**3 + 5*n + 0*n**o. Find the first derivative of l(c) wrt c.\nAnswer: -16*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-612)\/357*14\/4 - -15. Let c = -1509 - -6071\/4. Which is smaller: y or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 661 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-496)\/682*(-11)\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -45088610 rounded to the nearest ten thousand?\nAnswer: -45090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61*-80997.\nAnswer: -4940817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -63.29 to zero decimal places.\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15788 + 27588. List the prime factors of r.\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.76492045 - 0.14492021. Let h = -0.62 + q. Round h to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3020, -5991, -8902, -11741, -14496?\n\"Answer: 2*f**3 + 18*f**2 - 3039*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4.6 in 7, 3\/5, -0.5, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8 and -14.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*b**4 - 48 + 9*b**4 + 27 with respect to b.\nAnswer: 80*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 63*z - 40. Let r be k(5). Round r to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of 0*c**3 + 0*c**2 - 172 - 95*c + 127\/4*c**4. What is the derivative of w(a) wrt a?\nAnswer: 381*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 + -0.8. Let x be 29 + (1 - 2)\/(-1). Let g = 269\/9 - x. Which is the third smallest value? (a) j (b) g (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 108 + 19. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2808*l**3 - 12*l**2 - 3142*l - 20. Let r(a) = a**2 + 2. Let k(d) = -10*r(d) - t(d). Find the third derivative of k(p) wrt p.\nAnswer: 16848","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1074 + 1079.75. Let d = 0.2 + -0.25. Let n = d + x. Round n to 0 decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (4 - 8)) + (-12 - -24)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 167303620 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18*(-350)\/(-560)*(-8)\/(-10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s + 3*s - 2*s)*(-5 - 2 + 1)*(4 - 3 + 1).\nAnswer: -60*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53638?\nAnswer: 2, 13, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*w + 63*w + 13*w.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*g**3*z**2 - g**3 - g**2 - 13070*g + 119180*z**2 + 6 wrt z.\nAnswer: -6*g**3*z + 238360*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -77, 33\/7, 269?\nAnswer: 33\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of y**2 - 3641. Let d(x) = 1277*x**2 + 4*x. Determine d(l(h)).\nAnswer: 5108*h**2 + 8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 2*w**4\/11 - 6*w**3 + 42*w**2 - 734*w\/11 + 336\/11 = 0.\nAnswer: 1, 7, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(2\/(-3)))\/(-1). Suppose a*q = q + 14. Suppose 0 = -4*l + q*l - 9. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183*p - 2671 = -69 + 8744. What is the remainder when p is divided by 60?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5095.79 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 2432 = 1913. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.01 - 2.51. Sort -4, -1, -2\/3, a in decreasing order.\nAnswer: a, -2\/3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14987812?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-15))\/(2\/(-20)). Let j = -8 - -10. Suppose 2*q + j = -3*z + 9, -2*z + q = -14. Is z smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*r**3*s**2 - 796*r**3*s + 2*r**2*s**2 - 1423*r*s**2 wrt r?\nAnswer: 12*s**2 - 4776*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 71805 (base 9) in base 12?\nAnswer: 23465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u - 4*l + 40, -13671*u + 13667*u - 26*l = 4 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 75\/(-2)*(-160)\/3. Round g to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27164741 divided by 49.\nAnswer: -27164741\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(45) + sqrt(135)\/sqrt(3)) + (sqrt(5445) - -1*sqrt(5445)))\/(-2*sqrt(225)*-2 + sqrt(225)*1*1 + sqrt(225)).\nAnswer: 4*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 415215 - 180124. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*f**5*k + 79*f**3*k - f + 3*k + 3 wrt f?\nAnswer: -60*f**3*k + 474*f*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.321 - 0.065. Let z = m - 0.156. Let t = z + -7.100039. Round t to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(99) - (5 + sqrt(99)*2))**2 + -1 + 1.\nAnswer: 30*sqrt(11) + 127","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 89*j + 13 = 96*j, 0*s + 17 = -s + 5*j for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**2 + 2. What is m(3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 to the power of 1\/2, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(65)*2 - sqrt(65))\/(sqrt(10)\/sqrt(2)*-4))**2.\nAnswer: 637\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.052923 + -1.232923. Let a = 1697\/9 - 189. Sort -0.5, h, a in ascending order.\nAnswer: h, -0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4776 is divided by 4772?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -4*o**2 + 5*o + 2. Let n(p) = 4*p**2 - 4*p - 1. Give -2*l(y) - 3*n(y).\nAnswer: -4*y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q - 6*q = 4*v + 570, v = -5. Which is bigger: q or -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 833506 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*i**3 - 4189965*i**2 - 4577771*i + 2.\nAnswer: 24*i - 8379930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.995415km in micrometers?\nAnswer: 5995415000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 14.2 times 20.38931\nAnswer: 289.528202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -a + 4*l - 0, -a = 4*l - 19. Let m(v) = a*v**2 - 5*v - 9*v**2 + 4*v**3 - 3*v**3. Let u(j) = -j**3 + 3*j**2 + 6*j. Determine 5*m(h) + 4*u(h).\nAnswer: h**3 + 2*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 0, u - 4*f - 7 + 2 = 0. Solve -12*j = -11*j + u*b + 24, -2*j = -3*b - 17 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -2483390\nAnswer: -745017","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17 + 24?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -599*n + 418. Is s(-45) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l - 126 + 117 = -14*l. Factor 1\/6*k**2 - 1\/6*k**l + 1\/3*k + 0.\nAnswer: -k*(k - 2)*(k + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 7285927.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -6583.8 + -0.481491558\nAnswer: -6584.281491558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by -15254.\nAnswer: -7\/7627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 14*l + 3. Let o be s(2). Let z = o + 109. Suppose 0 = 24*d - 17*d - z. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 5*h + 7 = 0, -2*p - 5*h = 1 + 3. Let x(i) = 16*i - 148. Let t be x(9). Let m = -2 - -3. Sort p, m, -1, t in decreasing order.\nAnswer: p, m, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + 3. Let w = 22 - y. Let g be 1\/55 + 0 + 12\/66. What is the nearest to 1\/3 in 1\/6, w, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -97, -66, -31, 8, 51?\n\"Answer: 2*n**2 + 25*n - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10579711 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 5*s = 5*b - 11, 3*b + 41 = -4*s. Calculate the remainder when -2*b\/6*3 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 68942, 137441, 205148, 271667, 336602, 399557, 460136?\n\"Answer: -66*l**3 + 68961*l + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37.87199l to millilitres.\nAnswer: 37871.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -3*a + 21. Suppose 0 = n - a*n + 666. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(1 + 0) + -2. Let i = -1.2 - 0.8. Let v be (0 + 2 - 0)\/(-3). What is the biggest value in z, v, i?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -z**5\/150 - z**4\/15 - z**2 + 4*z - 148. Let p(o) be the second derivative of a(o). Factor p(u).\nAnswer: -2*u*(u + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (52\/(-7) - -4) + 4. Let s = -44\/3 - -15. What is the nearest to 1\/3 in -4, s, o?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7151*l**3 - 2*l**5 - 4*l**2 + 3*l**5 - 7151*l**3 + 3*l**4.\nAnswer: l**2*(l - 1)*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1109 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - -1)\/(-5*(-2)\/5). Let f be (-2 - -1)*(-2410 - t). Let b = -1118 + f. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**3 + 2*r**3 - r**3 + r**3 + 0*r + 0*r + (-4 + 5 - 2)*(2*r - 2*r**3 - 2*r) + 0*r**3 + r**3 + 0*r**3 + (-25 + 25 + 8*r)*(3 - 3 + 2*r)*(-3*r - 2*r + 0*r).\nAnswer: -74*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**3 - 311001 - 17*p**2 + 16*p**2 + 85*p**4 + 311000 to w + z*p + y*p**4 + f*p**3 + u*p**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.11565 times -84\nAnswer: 9.7146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-184))\/((-1051)\/933288). Do 10 and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 56355.6 to the nearest one thousand.\nAnswer: 56000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 12 - 53*r + 26 - 9)*(-1 + 0 + 0) to o*r + w and give o.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 25a32?\nAnswer: -25a30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66 divided by -5.\nAnswer: 66\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*y + 519 = -14*y - 204 + 228 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rk when two letters picked without replacement from cbcccrqcqcbkbkg?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 5*m + 24 = u, -2*u + 3*m + 3 = 0. Is 2\/(4\/u) + (-25562)\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7112 plus -0.057510443?\nAnswer: -7112.057510443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a**4 - a**4 + 0*a**4 + (-2 + a + 2)*(-a**3 + a**3 + a**3) + 2*a**4 - 5*a**4 + 4*a**4 + (-19 - 10 + 10)*(1 - 1 - 2*a**4).\nAnswer: 43*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.05, -0.5, -0.11, 2, 0, -4622?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -136803, -136796, -136789, -136782, -136775?\n\"Answer: 7*m - 136810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -104*d**3 - 636*d**2 - 55*d + 95. Determine f(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 146830 and 1659179.\nAnswer: 16591790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and -1.1469?\nAnswer: 3.8531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/(-4))\/(1\/(-6)))\/3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000006909 to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5*j - j - 536139972 = 0, 0 = 2*m + 3*j + 536140021. What is m rounded to the nearest one million?\nAnswer: -268000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.3 + 1.5. Let t = 3.7 - d. Which is the nearest to t? (a) 3 (b) 2\/3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1919150 divided by -262?\nAnswer: 7325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 7*p = -33. Let m = -4 + 7. Let t(x) = 1 - x**2 + m + 0 - 3*x - 2. What is t(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 501888 and 9824.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1093 (base 11) to base 4\nAnswer: 112121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4155551779+20606\nAnswer: 4155572385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 12*w + 6. Let a be r(-12). Let i be 3\/(9\/a) - -1. Calculate the highest common divisor of 6 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 586*m - 598*m + 372 = 0 for m.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36148\/3 + -11861. Let x = 186 - o. Find the common denominator of 5\/33 and x.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 2265, 5, -4, -5 in ascending order.\nAnswer: -8, -5, -4, 5, 2265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -214 divided by 57.\nAnswer: -214\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*a, 0*k + 5*a = 3*k - 5. Suppose -3*q + k = 2, 0 = 4*v - q - 15. Suppose v*d - 2*d = 30. What is the remainder when 29 is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -30. Let q = o + 20. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of 0*a - 188\/3*a**3 + 0*a**2 + 170. Let y(b) = b. What is y(r(u))?\nAnswer: -188*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 2)*(-p - 2*p + 2*p)*(-13 + 2 - 4)*(13 + 62 + 24) to l*p + y and give l.\nAnswer: -1485","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j. Let u(h) = -5*h - 59. Calculate 4*m(n) + u(n).\nAnswer: -n - 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of r**4\/24 - 2*r**3\/3 - r**2. Let p = -18 + 23. Suppose 5*d + 4*f - f - 41 = 0, p*f + 25 = 5*d. What is a(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a906b (base 14) to base 11.\nAnswer: 25a284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -75021 (base 10) to base 12.\nAnswer: -374b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 23*k**2 - 281*k + 493. Give w(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-22\/5))**(3\/5)\/(a*a**41*a*a)**(-24))**6 assuming a is positive.\nAnswer: a**(158004\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/sqrt(4)*5)\/(sqrt(196) - -2*sqrt(196))*-5.\nAnswer: -25*sqrt(5)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 528 - -6549. List the prime factors of b.\nAnswer: 3, 7, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101001101000100 (base 2) to base 12.\nAnswer: -10404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(-3)*17*-3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76107?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjdjjjj. Give prob of sequence jddd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x**2 + x**3 + 10*x**2 + 3561 - 3554 + 2*x**2 - 2*x**2 + 16*x to the form r*x**3 + t*x + y + l*x**2 and give t.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1210 + -2?\nAnswer: 1201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - 13*y + 18. Suppose 5*b - 3 - 52 = 0. Let h be a(b). Put -1, 2, h, 0 in decreasing order.\nAnswer: 2, 0, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 831*c - 832*c - 44 = -3*q, 4*c = 3*q - 41 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 - 4)*(-2 - 2 + 6)*((2 - 5 + 2)*(-1 + 1 - 2*k) - k - 2*k + 2*k + 1 - 2*k - 1) as b + y*k and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 370464.\nAnswer: 2, 3, 17, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -14*g - 3. Let s be v(-1). Suppose 2*w - 5*r - 29 = 0, -3*r = -0*w + 2*w + s. Is (1220\/2)\/w - -2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -220247 - 17*t + 220250 + 171*t.\nAnswer: 154*t + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (1 + (1 - -4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-63) + 15\/(-28).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1827?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - p**2 - 5*p**2 - 6*p**4 + 5*p**4 + 4*p**2 as r + g*p**3 + f*p + c*p**4 + v*p**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34478158 and 53284426?\nAnswer: 586128686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -2*x + 18, -2*i + 19 = -x + 4*x. Let n(y) be the first derivative of -40*y + 10*y - 3 + 3*y**2 - 21 - 2*y**i. Differentiate n(h) wrt h.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.46 - 0.06. Let m = 95752 + -95751.7. Which is the biggest value? (a) m (b) -42 (c) k (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 164, 39, -292, -931, -1980?\nAnswer: -3541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9668106?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*a = 0. Let d(j) = -j + 15. What is d(a)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -145*u**5\/4 + 115*u**4\/2 - 80*u**3\/3 + 7*u + 34. Factor a(p).\nAnswer: -5*p*(5*p - 2)*(29*p - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -6*l + 3. Let j(t) = -17*t + 8. Let x(s) = 3*j(s) - 8*m(s). Let g be x(8). Let d = g - -24. Solve 3*y - 2*y - 5*o = -13, d = -5*o + 10 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -168021 - 474?\nAnswer: -168505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26\/19 + 689\/38. Calculate the common denominator of u and (-274)\/(-40) + -3 + 0.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -1456563?\nAnswer: 1456566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert aab (base 16) to base 8.\nAnswer: 5253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000151052361 to five dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ul when two letters picked without replacement from ulzdud?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 7:31 PM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -30 + (30 - 31 - -42)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r*r**(1\/10))\/r)\/r**(-1\/5))\/(r**(-8)\/r**(7\/4)) assuming r is positive.\nAnswer: r**(221\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/364*156\/(-18)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -97.464*-2.\nAnswer: 194.928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/33 and -131\/110.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z**2 + 57*z - 47. Determine v(-20).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a hour in seconds?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2181?\nAnswer: 3, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -5*l - 3*l + 6*l. Let h(c) be the first derivative of -8*c**3 + 269. Determine h(m(o)).\nAnswer: -96*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.351 * -0.137.\nAnswer: 0.048087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 850 divide 1334165015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -6*l - 4. Let b(z) be the second derivative of 0 - 7\/6*z**3 - 2*z - 5\/2*z**2. Let o(t) = -4*b(t) + 5*w(t). Let h(f) = -6*f**2. What is h(o(v))?\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*s**2 + 2 - 21*s**2 + 0 + 31*s**2 to g*s + i*s**2 + t and give i.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3*w = -3. Suppose -5*k + 0*f - 1182 = -f, 0 = w*k - 3*f + 714. Let p = 349 + k. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.02 - 3.02. Suppose -10*t + 0*t = 160. Let k = t + 15. Sort r, k, 6 in decreasing order.\nAnswer: 6, k, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2))**45)**7*((n\/(((n**0\/n)\/n)\/n)*n)\/n)**8\/(n**0)**(-3\/19) assuming n is positive.\nAnswer: n**(-598)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 + -31. Let k = 28 + c. What is the remainder when k is divided by (26 + 4)\/3 - (0 + 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127*w**2 + 252*w**2 - 2 - 137*w**2 + 2.\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (17 - 8 + y**2 + y - 10)*(3 + 1 - 2) in the form s*y**2 + j + o*y and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j - 46. Determine m(22).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 373 is divided by 49?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -186 by -3.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1\/a)**(-2\/13)\/(a**(2\/7))**47 assuming a is positive.\nAnswer: a**(-94\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + (6*(1*sqrt(684) - sqrt(684) - sqrt(684)) - sqrt(684)) + -6*(sqrt(684) + 0))**2.\nAnswer: 462384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -0*d - 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 74329587323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/208 and -73\/204?\nAnswer: 10608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 414016?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of 5*f**2 - 2*f + 216\/5*f**5 + 6*f**3 - 1 - 81\/2*f**4. Let r(i) = 0. What is i?\nAnswer: -1\/4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -6, 2\/3, -91?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 5 (b) -3 (c) 2.856\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11708225 or 11708221?\nAnswer: 11708225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12462388 - 12462388 + 2*v**4 - 4467*v**3)*(-3 + 1 + 3) to the form y + z*v**4 + p*v + m*v**3 + s*v**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 109249*j**5 - 213*j**2 - 4*j - 5 wrt j?\nAnswer: 6554940*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_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: Is 24 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -c4 (base 15) in base 9?\nAnswer: -224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -4*t - 24, -3018*o = -3023*o + 4*t + 27 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ae when two letters picked without replacement from {a: 4, l: 1, e: 4, t: 1, j: 5}.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 - (-31 - (-79 + -16))?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 4.98. Let k = f - -3.51. Let l = 2.48877 - k. What is l rounded to four dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of 2*g - 1\/2*g**2 + 18. Let j(r) = r**2 + 10*r + 10. Let n be j(-9). Let o(q) = -q. What is n*u(p) - 4*o(p)?\nAnswer: 3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4 = -z, -1105 = -5*x + 5*z. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 236 - 9. Let x = 227 - w. Solve -c + 0*h - 4*h = -9, c - 4*h + 15 = x for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/630898 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11048\/15 or 738?\nAnswer: 738","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of -y**5\/60 - 41*y**2 - 5*y. Let i(a) = 0*a**2 + 3*a**2 - 40*a**2. Give z(i(w)).\nAnswer: -1369*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ro when two letters picked without replacement from oryororoorryoorryyrf.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*p - 4*p**2 - 14*p)*(-p**2 + p**2 - 2*p**3) + 2*p**4 - 2*p**4 - 2*p**5 - 4*p**5 + 4*p**5 + p**5.\nAnswer: 7*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -s**8\/360 - s**7\/1890 - s**4\/2 + 12*s**2 + 2*s. Let i(r) be the second derivative of f(r). Factor i(x).\nAnswer: -4*x**2*(14*x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 6:03 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.434 times -61.86?\nAnswer: -26.84724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -10\/9, 10, -4?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -750*((-2)\/(-3) - (-24)\/(-18)). Suppose f - u = -24*f. Solve -f = -5*w - 0*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 4*y**3 + 52*y**2 + 64*y - 768 = 0.\nAnswer: -8, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -x**3\/2 + x**2 - 2*x - 3. Let r(g) be the first derivative of s(g). Differentiate r(t) with respect to t.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4527, 7270, 9961, 12600, 15187, 17722?\nAnswer: 20205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 38? (a) -2\/19 (b) 1462 (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 32855900 to the nearest 100000.\nAnswer: 32900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 5*p - 40. Let a be ((-19)\/(-4) - 3\/4)*110\/220. Suppose p*x + a = 6*x. Which is smaller: x or -1\/30?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + 0 - (-1 - 0\/1). Let t be y\/((-10)\/(-16)) + (-2)\/(-5). Suppose -t*d = 0, 2*q + 5*d - 28 = -0*q. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5*(-10)\/(-50) + 143. Are d and 152 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*r**2 + 54*r**2 + 115*r**2 - 280*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -4*r**3 + 47210*r**2\/3 - 55064*r\/3 + 2622 = 0?\nAnswer: 1\/6, 1, 3933","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzqqzzq. What is prob of sequence zz?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 3*k + 3*b + 370, 577 = 3*k + b. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.03, -5, 22333, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31000413 (base 5) to base 2.\nAnswer: -111101000011111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(272) + -5) - ((2 + sqrt(272) + sqrt(272))*3)**2.\nAnswer: -9843 - 276*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3*p - 1. Let i be l(-7). Suppose -i = -4*n + 3*k, k - 5*k - 20 = -2*n. What is the third derivative of 78*u**3 - n*u**4 - 6*u**2 - 78*u**3 wrt u?\nAnswer: -48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 6*t**2 - 8*t + 3. Let f be p(2). Solve 4*l - 22 = -5*s, -l + 0 = -f for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 2*f - 3792. Let s = 2392 + f. Let l be (s\/(-15))\/((-2)\/10500). What is l rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/215 and -71\/8428?\nAnswer: 42140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pps when three letters picked without replacement from ppsppppp.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2042548361?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -47*p. Let n(o) = -53*o**2 + 12. Give n(j(r)).\nAnswer: -117077*r**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 14, -9, -3 in descending order.\nAnswer: 14, -3, -9, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 97048 + -152?\nAnswer: 969a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 9*r**2 - 219*r + 13. Calculate g(24).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 44*f - 51*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t**2 + 0*t - 25*t + 4*t**2 - 91. Suppose -12 = -3*c + 2*g + 66, 0 = -5*g + 15. Let h be k(c). Which is bigger: h or -8?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1904\/75 or -26?\nAnswer: -1904\/75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - n**2 - 3*n + 15727. Let i = -327 - -327. Is q(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -3*o**3 - 15654*o**2 - 1130121*o - 17318070 = 0.\nAnswer: -5145, -51, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnju when four letters picked without replacement from dnuadjduusnuuss?\nAnswer: 1\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 194842, 194906, 195024, 195202, 195446, 195762?\n\"Answer: j**3 + 21*j**2 - 6*j + 194826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -578*y - 699*y - 41611 - 23921 = 12365 for y.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6\/4*(-58)\/(-87)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 17 = -5*l + 9, 4*l + 8 = -4*g. Let o = 2.3 - 2.2. Let i = -0.2 + o. Which is the biggest value? (a) i (b) l (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-7))**(2\/19) assuming d is positive.\nAnswer: d**(16\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/2))**(-23)*(y**17*y)**20 assuming y is positive.\nAnswer: y**(697\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -35*q**3 + 3*q - 4. Let l(p) = p**3 + 1. Give 4*l(r) + x(r).\nAnswer: -31*r**3 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1456 is divided by 212?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 410010 - -1?\nAnswer: 410011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 30*d + 933. Give m(-54).\nAnswer: -687","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u. Let k(f) = 12*f + 2. Let w(o) = -8*a(o) - k(o). What is the remainder when w(-2) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oi when two letters picked without replacement from iiiioeioocci.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f + 1. Let i be d(7). Let s = i + 18. Suppose v + h - 10 = 3*h, -s*h - 20 = 0. Solve -5 = v*q - q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*n = -13*n + 391 - 6 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24497 is divided by 1356.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 13) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11689.4 and -21.\nAnswer: -245477.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 6 + 6. Let f be (-320)\/(-56) - 6 - 814\/(-7). Suppose 8*z - s*z = f. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n, 1 o, and 1 a when four letters picked without replacement from {p: 2, a: 2, o: 1, g: 1, n: 6, f: 3}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 2*q. Suppose -4*k - 4 = 4*c - 3*k, q = 3*c - 5*k - 20. Find the second derivative of -6*l**2 + c*l**2 - 4*l + 2*l**2 wrt l.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and -18.00776324.\nAnswer: -15.00776324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -424*k + 425*k + 10 = 0 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -126, -249, -372?\nAnswer: -495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -63, -1\/7, 326 in decreasing order.\nAnswer: 326, -1\/7, -0.5, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**2\/t**11)**23\/((t*t**(1\/4))**(1\/47))**(7\/3) assuming t is positive.\nAnswer: t**(-116783\/564)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11*4\/(-44))\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213782 is divided by 21352.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (-2 + 0)) + 3 + -7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -101*b**2 - 105*b**2 - 3 - 1 + 211*b**2 + 2*b + b**3 - 2*b**3. What is l(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -364005 equal to -364005?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 146 - 139. Suppose 5*f = -g*f + 900. What is the remainder when f is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -471*t + 468*t = -5*y - 14, 0 = -t + 3*y + 10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/7 of a week in days?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -189.\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j + 10. Let r(h) = -h - 9. Let y(s) = 7*o(s) + 6*r(s). Let t be y(8). Factor 9*b + 32 - 65*b + t*b**2 + 36*b**3 - 24*b.\nAnswer: 4*(b + 2)*(3*b - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40.1 * 4.\nAnswer: -160.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 130676827?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 90.8766 years?\nAnswer: 9.08766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 1 + 10 = 0. What is the tens digit of x\/3*(-25)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11 or 62966033?\nAnswer: 62966033","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -1\/20*s**5 + 7\/12*s**4 + 10*s + 0 - 2*s**2 - 1\/3*s**3. What is the smallest common multiple of n(6) and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/x**1))**(33\/7)\/((x**(2\/13)\/x)\/((x**(-1\/14)\/x*x)\/x)))**(-6) assuming x is positive.\nAnswer: x**(-2451\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (11\/(-165))\/((-249)\/10458)\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 3*b + 18, 3*b + 5 = -4*d + 28. Solve 33 - 5 = -3*q + d*u, -5*u + 23 = 2*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -122.19402 and -0.11.\nAnswer: -122.30402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 157, 165, 189, 235, 309, 417, 565?\n\"Answer: a**3 + 2*a**2 - 5*a + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 84.89 + -85. Let t(k) = k + 3. Let q be t(-1). Suppose -3*m + 0*z = -q*z + 5, 0 = -3*m - 4*z - 35. Which is the closest to -2\/3? (a) m (b) h (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 38764373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((10 - 10 + 4*s)*(1 - 2 - 1) - 1 + 1 + s)*(s**3 + 1 - 1)*(0 + 1 + 3).\nAnswer: -28*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.1, 61, -4\/5, 0.2, -2, 2310?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -8. Let g = 8 - 4. Put 0, g, c in decreasing order.\nAnswer: g, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3 - 4*c + 6*c**2 + 3*c - 2. Let f(w) = 4*w - 5 - 8*w - 7*w**2 + 4*w**2. Let b(t) = -t**2 - t - 1. Let m(j) = -4*b(j) + f(j). Give 11*m(r) - 2*q(r).\nAnswer: -r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 + 52 = 3*o. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1097 and 10970.\nAnswer: 10970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 110653 and 1173.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 43734 to the power of 1\/2, to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6411905 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(19) - sqrt(19)) + 1 + -4*(sqrt(19) + -2))**2.\nAnswer: -54*sqrt(19) + 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*l**2*p**3 - 11789*l**2 - 688740*l*p**4 - 6066*p wrt p?\nAnswer: 132*l**2*p - 8264880*l*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1031 is divided by 69.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 60, -245, -6 in ascending order.\nAnswer: -245, -6, -4, -3, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.6 + 0.1. Suppose -4*v = -4*j + 12, -5*v - 3 = -4*v - 4*j. Let x = -470\/9 + 52. Which is the third biggest value? (a) x (b) n (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 r, and 2 y when four letters picked without replacement from yyyyysyysrgyry.\nAnswer: 72\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*r - 9. Suppose 0*o + 5520 = r*o. Suppose 4*m = m + o. Round m to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 422 is divided by 106?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from {u: 2, n: 10, v: 3}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (4 + 2)*14\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.9 and 0.3.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10816 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61081757?\nAnswer: 11, 211, 26317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**2 + 5. Let g(t) = 1. Let v(j) = j**2 + 5*j - 19. Let p be v(-8). Give p*g(x) - d(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by 24.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 4d760?\nAnswer: -4d762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -125 - -152. Suppose -15*q = -3 - z. Let t(x) = -x**3. Let c(k) = -4*k**3 - k**2 - k. Let u(n) = -c(n) + 5*t(n). What is u(q)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26133 - -26578. Solve 79*d = -10*d + b for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 3:48 AM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 74 and 1478.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -279, -0.157, 0 in ascending order.\nAnswer: -279, -0.157, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express p - 2*p - p**3 + 3*p - 2*p**3 + 9*p**2 + 14*p**3 as i*p**3 + c*p**2 + z*p + x and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 8:00 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 16, 5, -6, 385\/96?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - -14. Let i = j + -70. Let x = 45.999968 + i. What is x rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 50 = 4*h. Suppose 0*k = -k - 5*r - 19, -h = 2*k + 3*r. Let p(y) = -y**3 + 7*y**2 - 5*y - 5. Let i be p(6). Are i and k unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6589 less than 27.441?\nAnswer: -6561.559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c**2 + 4*c + 6. Determine i(-5).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d - 4361 + 2*d + 0*d.\nAnswer: 4*d - 4361","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 349, 353, 359, 367, 377, 389?\nAnswer: 403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 7\/3 (b) 0.02 (c) -1\/10 (d) 2\/3 (e) 184.2 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8837431?\nAnswer: 29, 304739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -1 + 0*g + 1\/2*g**2 - g**3. Let j be (-5)\/(-2) + 0 - (-27)\/(-18). What is w(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1002)\/(-33) - (-6112)\/(-191)\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 117 - 82. Suppose 21 = 7*j - q. Suppose j*a - 2301 = 2395. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61862495 equal to 61862496?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -25 (b) 0.5 (c) -23418\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -0*j + 33. Suppose 2*r = j + 39. Suppose 5*v = -5 + r. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1421, -1401, -1383, -1367?\n\"Answer: -j**2 + 23*j - 1443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 23 - 0 - (-71 - (-83 - -8))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 1. Let c(x) = -x - 3. Let r(d) = -2*c(d) - 7*q(d). What are the prime factors of r(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 o when two letters picked without replacement from {o: 1, i: 1, p: 1, t: 2, l: 2, y: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + n**2 + 0*n**2 - 6*n**2 - 3 to the form x*n + b + y*n**2 and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -11*w**2 - 9*w - 3. Let q(b) = -12*b**2 - 10*b - 4. Let y(j) = 7*a(j) - 6*q(j). Let g be y(-5). Let z = g - -160. List the prime factors of z.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 42749.\nAnswer: 170996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8103?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 9*n**2 + 3*n - 82. Give g(14).\nAnswer: -1020","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n**2 + 4*n**2 + n**4 + 8*n**4 + 13*n**3 - 13*n**3 + (-6 + 6 + 7*n**3)*(1 - 1 + 4*n).\nAnswer: 37*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26949 and 15171.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3624 and 21580014.\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 10*i**3 - 5*i**2 - 6*i. Let y(d) = -d. Let p(f) = q(f) - 2*y(f). Let c be p(-3). Let j = c - -622. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0.3, -162, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-8)*2\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 4. Let x = 53 - 148. Let w = 98 + x. What is the closest to s in 0.1, w, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 - 32 = 14*d. Put d, 2\/5, 0.04 in decreasing order.\nAnswer: 2\/5, 0.04, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3*w**3 + 3*w + 1. Calculate r(-2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 h when four letters picked without replacement from hkrkkhhkk.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -17*z**2 - 12*z + 12. Calculate j(-3).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -151*i - 6340. Let u be r(-42). Which is the nearest to -2? (a) 1 (b) -467 (c) 0.3 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**2 + 10*b. Let h be o(-8). Let p be (-51)\/(-8) + h\/(-128). List the prime factors of ((-212)\/p)\/(8\/(-12)).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*t**5 + 300*t**4 + 330*t**3 - 1960*t**2 + 1905*t - 540 = 0. What is t?\nAnswer: -3, 4\/7, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-140 - 71 + 332)*(6*b - 2*b - 3*b) + 0*b - 3*b + 0*b + (-1 + 5 - 2)*(0*b - 2*b + 0*b))*(-b**3 - 2*b**3 + b**3).\nAnswer: -228*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cf when two letters picked without replacement from cffeeeeeeeffccfeff.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72405440.\nAnswer: 2, 5, 226267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -82) + (-26 - (3 + -8) - -8).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 562599 is divided by 2031?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9980461 millilitres to litres.\nAnswer: 0.0009980461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -7. Let g(q) = q**3 - 61*q**2 - 69*q + 335. Let a be g(62). Is ((-194)\/(-6))\/(w\/a) - -2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4194 times -0.2?\nAnswer: -0.28388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000007239 rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 27*n**2 - 1. Let j = -2 + 3. Does 15 divide p(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 114758?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m**2 - 40*m + 464. What is o(10)?\nAnswer: 364","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4454 divided by -4454?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s + 15 + 57 = 0. Let o be (2 - 2 - 6)\/(6 + s). Solve 4*d = -o*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4220265268?\nAnswer: 2, 263, 853, 4703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-5)\/(-20))\/(57\/(-19)))\/((-3)\/8)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4*h**2 - 82*h - 250. Let o be z(-3). Solve 8 = o*n - 24 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2058647?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*j - 21*j - 48 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -20*s - 12. Give b(4).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00715 to 4 dps.\nAnswer: -0.0072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*i - 28 = 0. Let d = i - -11. Suppose 8 = -3*j + 2*r, -r + 0*r + 4 = d*j. Solve -b - 5 = -j for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -106*v**2 + 50*v**3 + 5 - 5 + 172*v - 104*v**2 + 213*v**2 wrt v.\nAnswer: 300*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-18)\/(-27))\/((-5)\/(-30)). Let x(d) = d - 1. Let r be x(3). Let z = g - r. Solve -3*m + 4*m = -z for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006353309 to 7 dps.\nAnswer: -0.0006353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -4*q - 4. Suppose -21*t + 13*t = -16. Suppose m = -2*z - 1, 4*m = t*z + 1 - 5. Let g be n(m). Put 2, 9, g in increasing order.\nAnswer: g, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*p**5 + 8*p**5 - 5*p**5 + (5*p - 2*p + p)*(118*p + 9*p**4 - 118*p) - p**5 + 4 - 4.\nAnswer: 44*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s + 0*s - 2*s)*(-2*s**2 - 2*s**2 + 0*s**2 + (-3*s + 0 + 0)*(-3*s - 3*s + 4*s)) in the form d + g*s**3 + u*s**2 + y*s and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110201012220202220 - 2?\nAnswer: 110201012220202211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 120454 to the power of 1\/2, to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3511769.\nAnswer: 3511769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**3 + 9*q**2 + 16*q + 20. Let w be u(-5). Let a be -5*11*17\/w. Let h(n) = a*n + 21*n + 6 - 33*n. What is h(9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/2 (b) 3 (c) -39 (d) -0.4 (e) 3\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**5 + 2*l**5 + 2*l**5 + (-1 + 1 - l**2)*(-19*l**3 - l**3 - 17*l**3).\nAnswer: 42*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 + 71 + (-15 - -1) + 5 + -2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (46 + (-22 - (11 - 29)))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 958127 and 958150 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 4*u - 10 = 0, -5*t + 3*u - 5 - 5 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jsi when three letters picked without replacement from jshjjijjjsjhjj.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1653 divided by -584?\nAnswer: -1653\/584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 greater than 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -700\/11? (a) -1 (b) 4 (c) 2 (d) 10 (e) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 10*a**2 - 2*a + 2. Let g(s) = s**2 - 7*s - 10. Let p be g(7). Let o be n(p). Suppose -o = -6*h + 4*h. List the prime factors of h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1.2, -26\/5, 0, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 13\/118 (c) 15 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b + 2*b**2 + 0*b + 5*b - 5*b - b**2 + (b + 0*b + b)*(-4*b + 5*b - 3*b) + 5 - 2*b**2 - 5 + 14 - 14 - 5*b**2.\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4\/7 (b) 10 (c) 46\/11 (d) 2\/11 (e) -0.1 (f) -0.94\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 9*u**2 - u - 6. Let m be a(-9). Suppose -33 = -2*n - m. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 c when two letters picked without replacement from cefcfwv.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -4*n + 17*n. Let p be (-12 + 4)\/n - (2 - 3). Suppose y - 36 = -0*y - p*x, 128 = 3*y - x. Is y a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 3, 0, 2, -82493, 0.3, -5 in descending order.\nAnswer: 3, 2, 0.3, 0, -0.2, -5, -82493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 2:49 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 574956843?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wqwu when four letters picked without replacement from {u: 4, w: 6, q: 2}?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 4568*n**2 - 13*n + 4104*n**2 - 3*n.\nAnswer: -464*n**2 - 16*n - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -106 - -54. Let q be 6\/(-2 - -4)*n\/(-12). Let s = q - 13. Solve s = -4*m - 4 - 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 605 - 457. What is the greatest common factor of b and 407?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 2. Let w be 300003 + 16\/(-4) + g. Round w to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/(-18)*9\/6. Let d be 4\/(-1*(-2 + 0)). Let z = d + p. Solve -q + 2 = z for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 22\/4 + (-6)\/(-12). Let x be (d\/10)\/((-8)\/10). Which is the nearest to 0? (a) -4 (b) x (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39 - -66. Let m = 112 - 108. What is the remainder when x is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1341 + -1341. Sort -43, 2\/17, -2\/13, a in decreasing order.\nAnswer: 2\/17, a, -2\/13, -43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4 = 2*g + 3*g, 4*x + 16 = -5*g. Suppose g = -6*n + 2*n + 112. Calculate the greatest common factor of n and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jyjy when four letters picked without replacement from yjyjjjyj.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 8*l - 26 = 80, 0 = -36*k + 34*k + 5*l - 67 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from dykphyl.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2*z**4 + 2*z**3 - 24*z**2 = 0.\nAnswer: -4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 674524 = 376*x - 136*x - 2805476. Does 39 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 3*w - 10, 0*w - 4*y = -5*w + 6. Suppose -157 = -4*u - 5*m, 0*u + w*m = -2*u + 78. What is the remainder when u is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11618\/5 in 0.5, 20, -0.3, -2?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 17*v + 3. Let o(p) = 1. Calculate -3*o(c) + y(c).\nAnswer: 17*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1001258 + 745742. Round q to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that n**5 - 4*n**4 - 129*n**3 - 524*n**2 - 304*n + 960 = 0.\nAnswer: -4, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/19*r**2 + 2\/19*r + 4\/19.\nAnswer: -2*(r - 1)*(3*r + 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 + -17)\/(2\/(-6))*((-1817)\/69 + 22)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 - -14. Let j(o) = -o**2 - 2*o + 2. Let l be j(f). Suppose 0 = -3*h + l*z + 6, 4*z + 4 + 0 = 2*h. Solve 2*q - 4*v = 0, h*q + 2*v - 12 = -3*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1107247057?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -4*q**2 - 538*q - 1829. Let h be v(-131). Let k(f) = f**2 - 2*f**2 + 7*f - f - 2. Determine k(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w + 0*w - 5*w - 27*w. Let h(o) = o. Calculate u(h(n)).\nAnswer: -30*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3.71 times 2.4\nAnswer: -8.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 times 5?\nAnswer: -340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - t)*(56*t + 25*t - 39 + 41) as c + p*t**2 + x*t and give p.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18\/63 + 122\/14. Suppose -3*v = -2*v - m. What is the remainder when 34 is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 933328586\/7 <= 133332655?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.04, -4, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a century in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/447232 and 25\/52996992.\nAnswer: 105993984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 5*m**2 + 14*m - 2. Let w be v(-7). Which is the smallest value? (a) 3\/7 (b) 0.2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -466*l**3 - 5*l**2 - 46*l + 8. Let p(j) = j**2 + 9*j - 2. What is -d(k) - 5*p(k)?\nAnswer: 466*k**3 + k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1009*g + 1474*g - 380*g - 1016*g to the form j + u*g and give u.\nAnswer: -931","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*g - 5533 + 17758 = 0. What is the remainder when 1135 is divided by g?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - h + 16, -h = -4*h + 12. Suppose 0 = l - 8 - u. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4100355 and 1?\nAnswer: 0.5899645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 78363287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10 + -1a1b9?\nAnswer: -1a1a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -101*m. Let s(n) = -1295*n. Let l(q) = -77*d(q) + 6*s(q). Let w(g) = 282*g. What is w(l(t))?\nAnswer: 1974*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, m: 2, t: 1, p: 4, f: 1}. What is prob of picking 2 p?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 5.998. What is b rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3651 - -3654. Suppose 217 - 680 = -n. Suppose 4*p - g*w - 619 = 0, 5*w = -3*p + 7*w + n. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/94341 and 23\/498888.\nAnswer: 29434392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eupu when four letters picked without replacement from {u: 1, e: 2, p: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 586*s + 65 - 286 = 365 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 294 divided by 14\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3*w**3 + 17*w + 50. Let j(v) = -v**3 + 6*v + 17. Determine -8*j(a) + 3*y(a).\nAnswer: -a**3 + 3*a + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m**3 - 86*m**2 - 1515*m - 75. What is h(41)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/1451830 and 121\/13254.\nAnswer: 204708030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*c**3 + 35*c**3 + 45*c**3 + 82*c**3.\nAnswer: 39*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -770027 (b) -1\/2 (c) 5 (d) -0.2 (e) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -1 + (54 + -23 - 23)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1033 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**4*z*z)**(-1\/8)\/(z**25*z**(-15)))**(-1\/7) assuming z is positive.\nAnswer: z**(43\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (23\/161)\/((-3)\/6). What is the closest to -2\/11 in -50, 4, 0.1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 - 598*h - 88303. Give m(-268).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -15*u - 40. Let x be w(-4). Let d = 22 - x. What are the prime factors of (5\/(-3))\/(d\/(-888)*4)?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**2. Let b(y) = 1324*y - 84099. Calculate b(j(k)).\nAnswer: -2648*k**2 - 84099","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 42076 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 3*h - 12855, 5*h + 3445 = -4*o + 29188. Does 48 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -240.9 minus 0.9?\nAnswer: -241.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 x, and 1 l when three letters picked without replacement from {t: 4, w: 2, x: 3, l: 1, z: 2}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1233192749?\nAnswer: 1233192749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*q = -1683 + 903 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -6*o**3 - 2*o**2 - o. Let g be n(-1). Suppose -38 + 423 = 5*f. Suppose g = -3*q + f. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 7356\/60443 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6960 + 7070. Solve f*i = 114*i + 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5765 a factor of 2072001421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4808528617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 9*d**2 + 402*d + 6. Determine y(15).\nAnswer: 636","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 10265320, 20530635, 30795954, 41061277, 51326604?\n\"Answer: 2*j**2 + 10265309*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*l\/(l**5\/l*l*l))\/l**(1\/4))\/(((l**(-1\/2)\/l*l)\/l*l)\/(l\/(l*l**(-3\/5)*l))))**(-17))**24 assuming l is positive.\nAnswer: l**(8466\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-32)\/(-24))\/((-2)\/(-3)) and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y + 3*y + 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.3593672 rounded to 3 dps?\nAnswer: -25.359","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - x**4 + 2)*(-x + 0 + 0) + 0*x**4 + 0*x**4 + 2*x**5 + 1719*x**3 - 1719*x**3 + 35*x**5.\nAnswer: 38*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 153\/(7\/(-2) + 2). Let h = -31 - x. Suppose -3*g - 12 = 0, -5*v - 2*g - 29 = -h. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 99 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**(-11)*t*t**(-6))\/((t\/t**(-26))\/t)**(-14) assuming t is positive.\nAnswer: t**350","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -269 at least -268?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -185*d**2\/2 + 1129. Let b(v) = 2*v**2 + 3. What is a(b(i))?\nAnswer: -370*i**2 - 555","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*z - 243042861 - 214557139. Round z to the nearest 1000000.\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -133406162*b**3*h**2 - 9*b**3*h - 2*b**3 + 2*b**2*h - 107*b - 1079*h wrt h.\nAnswer: -266812324*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 4*o**3 - 3*o + 1. Let n = 32 + -37. Let t(c) = 2 + 3*c - 9*c**3 - 5 + 3*c + c. Let s(i) = n*g(i) - 2*t(i). What is s(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-551)\/(-348) + (-69)\/644 + 45\/(-21) + 2.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/5356 and -23\/52?\nAnswer: 5356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -12*k + 273. Give j(22).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22325 and 1565429?\nAnswer: 893","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z = -100 + 19. Solve -3*y - 3*b - 3 = -z, 2*b + 6 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -12761143?\nAnswer: -12761137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 0. Suppose -2*i + 73 - 65 = h. Suppose -d - 5*o = 10, -22 + 2 = -d + 5*o. Sort i, 3, -5, d in descending order.\nAnswer: d, i, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (11 + (-6 - (1 - 1))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 12865655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 18*m - 64. Let c be s(4). Let t(y) = -y**3 - 4*y**2 + 4*y + 7. Let i be t(-5). Calculate the greatest common divisor of i and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24898\/15 + -4979\/3. Determine c, given that 0 - g*c**3 + 2\/5*c - 1\/5*c**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7\/(-2))\/((-8)\/179840) + 2. Suppose -6*x + 90478141 = 33126049. Suppose -h = -3*s - x. Round s to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 15. Let a = -102 - -92.9. Let i = -9 - a. What is the closest to i in b, 4\/3, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*n - 967 = -16*l, -192*n + 129 = -189*n + 2*l for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 3*c - 82. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 4*r - r - 71 = 0, -u - 29 = 5*r. Suppose -5*a = 5*c + 710, 0 = -5*a - 4*c + 2*c - 704. What is the common denominator of (-954)\/a - 4\/u and 41\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/20 of a tonne?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1049141989*k**2 - 114*k - 3427751.\nAnswer: -2098283978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 369647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1096*b - 1 - 982*b + 1325*b.\nAnswer: 1439*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 AM and 11:15 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 99.07374034 to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**3 - 16*y**2 + 12*y + 72.\nAnswer: -4*(y - 2)*(y + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28665 = 2199*p - 2206*p. Is p a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00017905787 rounded to six decimal places?\nAnswer: 0.000179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2178942 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0*m - 3*m - m)*(2 - 1 - 6) - m + 3*m - 6*m)*(0 + 2 - 4) to k + t*m and give t.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 7*r**2 + 9*r - 4. Let v be s(-5). Which is smaller: v or 2\/1403?\nAnswer: 2\/1403","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*-1*(30 + -49 - -19). Solve 0 = 5*c - 5*n - 63 + 38, q = 2*c + n - 1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 0.16 (c) 2\/11 (d) -50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3108, -6154, -9200, -12246, -15292, -18338?\n\"Answer: -3046*k - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/46, -0.4, 0, -2\/3 in decreasing order.\nAnswer: 3\/46, 0, -0.4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -6*k - 2*k + 4*k - 9*k. Let y(b) = -2*b. Calculate t(y(q)).\nAnswer: 26*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**2 + 223480*p + 12485827600 = 0.\nAnswer: -111740","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 2*r + 5*t, 3*r + 4*t = 0. Suppose r = -2*y + 3 + 5. Let 16*b**3 + y*b + 8*b**3 - 8*b**2 - 10*b**4 - 10*b**2 = 0. Calculate b.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(-3 - -5)\/(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**5\/(m*m**0))\/(((m*(m*m*m**(-1\/5))\/m*m*m*m)\/m)\/m*m**5)*(m*m**0)**12\/((m**(-1\/5)*m)\/m*m\/((m\/(m**(-1)\/m)*m)\/m)) assuming m is positive.\nAnswer: m**(52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 784 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 2*p**2 - 5*p - 2. Let i be t(-3). Solve -3*k - 11 = -5*k + 3*b, i*k - 5*b - 21 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2 = 4*j + 2, -5*s = 2*j - 24. Suppose s*d = 3*d + 4*u - 13, 26 = -4*d + 3*u. Find the common denominator of 169\/(-30) + 1\/d and 22\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2003?\nAnswer: 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -5*v**2 + 1494*v. Let n(c) = -2*c**2 + 498*c. What is 3*m(d) - 8*n(d)?\nAnswer: d**2 + 498*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*a - 2*t - 98 = 0, -4*a + t = -76. Suppose -5*k = 4*f + 6 - 48, -2*k + a = f. What is the lowest common multiple of k and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282*x = -379*x + 40102 + 6316 + 32241 for x.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.68 and 0.399656.\nAnswer: 0.27176608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 10*r**2 - 10*r + 14. Let l be j(-11). Suppose -l*a + 4*a = 19. Suppose a*n = 20*n - 685. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30135 + 903863\/30. Calculate the common denominator of 50\/3 and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 912628 and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 24\/(-10)*140\/(-6). Calculate the highest common divisor of 7 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17 - -4?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1075*z**4 + 7*z**3 + 2*z**2 - 10*z + 85?\nAnswer: -25800*z + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12490 - 1996. Does 66 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-7)\/(-42) - (-14)\/60)*15. Suppose -6 - 6 = -h*g. What is g rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -1\/2 (b) 14 (c) 2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 34380 and 55008?\nAnswer: 275040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence twn when three letters picked without replacement from {w: 10, n: 2, t: 3}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2907228 a multiple of 164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/(-35) + (30\/40)\/(3 - (-93885)\/(-31372)).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6291 and 174663?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 10*p**2. Let n(f) be the third derivative of -f**5\/30 + f**2 - f. Determine n(s(t)).\nAnswer: -200*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 20 = 0, -3*a = 2*a + 3*v + 602. Let u = a + 222. What are the prime factors of u?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -981.4 - -981.8. Are 1.08 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 - (-7 - 5 - 5 - -7).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 3*a + a + 22, 0 = -2*x + 2*a + 10. Suppose 3*n + 15 = -x*j, 3*n + 3 = -0*j + 2*j. Which is greater: -4 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -330827768 divided by 394312?\nAnswer: -839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.358 + 0.015. Let s = j - -0.027. Let w = -9.1 - 0.9. Which is the fourth biggest value? (a) -2 (b) 3 (c) w (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 842.00003732 - 842. Round y to 6 dps.\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + 9\/2 + -1. Let n = 818 - 828. Suppose -3*x - y - 17 = 4*y, 0 = 4*y + 4. Which is the second smallest value? (a) 0 (b) n (c) r (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 174685020 divided by -10?\nAnswer: -17468502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -1\/145, 6\/13, 3924?\nAnswer: -1\/145","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 11*c**2 + 114*c + 11. Calculate p(-6).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 936*v. Let g(q) = -26*q. What is 143*g(m) + 4*n(m)?\nAnswer: 26*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(0\/(-2) + -2). Let w be 0 + (-4)\/24*h. Let n = -65\/2 - -32. Which is the second smallest value? (a) w (b) 5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19926503 to the power of 1\/3, to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 525\/35 - (-2 - 28541)?\nAnswer: 2, 109, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, n: 2}. Give prob of picking 2 y and 1 n.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 12*o**3 + 7*o**2 - 8*o - 4. Let q be m(-6). Let c be q\/(-21) + (-4)\/(-6). Let i be 10\/(-35) - (-72)\/7. What is the highest common divisor of i and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/6 (b) 15.7 (c) 1 (d) 2\/5 (e) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/d**1)\/d*d)\/d)\/d**(-9\/4))\/(d\/d**(-2))**(-44) assuming d is positive.\nAnswer: d**(533\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.358, -344\/3 in ascending order.\nAnswer: -344\/3, -0.3, 0.358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 9:55 AM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 71*g**2 - 7*g - 6. Let w be k(-4). Find f such that 6*f**2 - 585*f**3 - 575*f**3 + w*f**3 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 55 and 40318860?\nAnswer: 443507460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20510369 to the nearest integer?\nAnswer: 4529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 + 341\/44)*-4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = x - 4*x - 2, 4*x - 72 = -4*d. Is d a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 1. Let z = -119 - -147. Let d = z + -25. Which is the third biggest value? (a) o (b) d (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/(50\/(-34)) - (-130)\/325. Let h(p) = 16*p**3 - 3*p**2 - 2*p + 3. Let x(i) = i**2 + i - 1. Calculate t*x(n) - h(n).\nAnswer: -16*n**3 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -762 = 30*j - 33*j. Suppose -w - 4*u = -3*w + j, 5*u - 227 = -2*w. Suppose -2*g + w = 19. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.420612 from 4.\nAnswer: 4.420612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1181 is divided by 91?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from vvvvovpon?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of 3\/2*w**2 - 8*w + 4 + 2\/3*w**3 - 3\/2*w**4. Let g(l) = 2*l**3 - l**2 - l + 3. Let y be 1 - 2 - (8 + -1). Give y*g(u) - 3*k(u).\nAnswer: 2*u**3 + 2*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 93, 196, 363, 612, 961, 1428, 2031?\nAnswer: 2788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7171557 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wtaiaaawi. What is prob of picking 1 t, 1 a, 1 w, and 1 i?\nAnswer: 8\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + 1 - (-3)\/3. Suppose o - v*d - 25 = 0, -4*o + d + 24 = -0*d. Suppose -2*m - 30 = -o*m. What is the remainder when 19 is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 7*t**2 - 2*t**2 - 6*t**2 - 5*t**2. Let j(r) = 3*r**2. Calculate j(h(q)).\nAnswer: 108*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 + 2*t**2 + t**3)*(7 - 3*t - 7)*(1 - 3 + 4).\nAnswer: -6*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.6 - 4.14. Let k = t + 0.54. Let s = -4.3 - -4. Sort k, 1\/2, s in increasing order.\nAnswer: s, 1\/2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -245 + 270. Calculate the highest common divisor of 10 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18919 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hnh. What is prob of picking 1 n and 1 h?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j + 80 = -5*j. Solve -6*d - 22 = j for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 90166?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -183*j - 4. Let c(z) = 396*z + 9. Let s(r) = 6*c(r) + 13*p(r). Give s(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 21178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -5*r - 17. Let x be g(-4). Suppose -x*p = -10*p + 49. Suppose 8*u = p*u + 38. Is u a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -387781 or -387785?\nAnswer: -387785","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1048219209?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/95319408 and 95\/192?\nAnswer: 381277632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 256615716 a multiple of 2647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-60)*-9)\/((-2)\/(-5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 = -2*s - 451. Is s\/8*(-6)\/3 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 816.9063 years in decades?\nAnswer: 81.69063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/5)\/((-12)\/10)*2682\/298.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 996 - -2b46?\nAnswer: 3920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3780*c + 514. Let a(r) = 3*r. Give a(i(o)).\nAnswer: 11340*o + 1542","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 268?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 890 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -4*a - 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 0 = -20. Let h(w) be the second derivative of -w**5\/20 + w**4\/3 + w**3\/3 - 3*w**2\/2 - w. What are the prime factors of h(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48\/(-14) - (-2 - -22)\/(-5)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 5*g - 292, -4*w - 464 = g - 148. Do -78 and w have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -124c (base 15) to base 9.\nAnswer: -5310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a millennium in months?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 - 13 = 5*u. Suppose 5*h = h. What is the third derivative of -k**3 + h*k**3 - 3*k**2 + k**u + k**3 wrt k?\nAnswer: 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of 2*t**7\/105 - t**6\/15 - t**5\/5 + 4*t**4\/3 - 8*t**3\/3 - 7*t**2 + 28*t. Let l(v) be the first derivative of z(v). Factor l(c).\nAnswer: 4*(c - 2)*(c - 1)**2*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-1\/2))**(1\/5))**21)**17 assuming m is positive.\nAnswer: m**(-357\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -13*c**2. Let g(a) be the third derivative of 3*a + 0 + 0*a**3 + 7\/60*a**5 + 0*a**4 - 3*a**2. What is g(v(s))?\nAnswer: 1183*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(3\/(-2)))\/(72\/18720*52).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.383 and 343.76.\nAnswer: 131.66008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w. Suppose 8*p = -15 + 39. Let b be (p - 17)*(63\/(-2) + 4). Let m(l) = -b + 193 + 192 - 11*l. Calculate m(o(v)).\nAnswer: 11*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 46207649291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -215164*c**3*r + 53930*c**3 wrt r.\nAnswer: -215164*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 - -49. Calculate the remainder when l is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 99627, 99913, 100199, 100485, 100771, 101057?\n\"Answer: 286*i + 99341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 + 4\/(8\/14) and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117 = 771*l - 769*l + 29*g, -3*g - g = -2*l + 18 for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6776 + -3958. Does 48 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.08504 + -0.01496. Let o = 7 + -11. What is the nearest to s in o, -2\/11, 5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.03374 years in millennia?\nAnswer: 0.02203374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 - 217 = 5*l. Let w = -53\/2 - l. Is w at most -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 700444196 to the nearest integer?\nAnswer: 888","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (8 + -14)) + 0\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 27 - 13 + 2*r + 8 + 3 - r - 3 + (r + 4 - 4)*(-3 + 0 + 5) in the form b + d*r and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1 and -12484130350.\nAnswer: -12484130351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 18 = -4*y, 6*w - 2*w - 16 = 2*y. Suppose -g + 2988 = w*g. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3183 divided by 242\nAnswer: 3183\/242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f - 31 + 42 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3396008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7129 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x**3 + 86*x**2 - 19*x + 830. Give i(43).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 7 = a, 3*i + 5*a + 9 = 5*i. Let z(g) = -g**2 + 7*g - 5. Let y be z(i). Find the third derivative of -4*m**2 - 5*m**2 - 3*m**y - 4*m**2 wrt m.\nAnswer: -180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.27 + -1.26. Which is the third smallest value? (a) 2 (b) l (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, 0.1, -5, 3, -4 in ascending order.\nAnswer: -5, -4, 0.1, 1\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b**2 + 61*b. Let v(y) = -2*y**2 - 30*y - 1. Let n(d) = -2*m(d) - 5*v(d). What is the units digit of n(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3040 and 396910.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 151433, 152257, 153081, 153905?\nAnswer: 154729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-54)\/(-72)*8\/177. Which is bigger: 2\/9 or m?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9801 = -16*v + 546377. Round v to the nearest one hundred.\nAnswer: 33500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 2 w, and 1 x when four letters picked without replacement from {f: 8, w: 2, x: 1, h: 2, z: 1}.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -90 + 125. Suppose -z*j = -j + 72. Which is the second smallest value? (a) -3\/7 (b) -2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2240893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + -66377.\nAnswer: -66376.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1032733, 1032731, 1032729, 1032727, 1032725, 1032723?\n\"Answer: -2*c + 1032735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and 798922590.\nAnswer: 798922589.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l**3 + 446*l**2 - 677*l + 123064. Calculate g(149).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1631 is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 3*v**3 - 231861*v**2 + 4480076205*v - 4479844347 = 0.\nAnswer: 1, 38643","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.446 + -0.016. Let s = h - -0.03. Round s to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 11:35 AM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - 3*b. Let w(m) = m. Let r(l) = -j(l) - 4*w(l). Let v(k) = -4*k**2 + 3*k. Give -2*r(o) - v(o).\nAnswer: 2*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 896480244 less than -5.2564?\nAnswer: -896480249.2564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4157.\nAnswer: 4157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1477156080 divided by 295431216?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -7, 7, 5, -13 in decreasing order.\nAnswer: 7, 5, 0, -7, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/4*(-24)\/(12\/6). Let t be (-2)\/7 - (-128)\/7. Calculate the highest common factor of t and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.73965 and -64163180?\nAnswer: 64163182.73965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -749 and 0.19?\nAnswer: -142.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + i. Let j(n) be the second derivative of 5*n**4\/12 + n**3\/3 - n**2\/2 + 2*n. Calculate -3*b(c) + j(c).\nAnswer: 2*c**2 - c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 16571657?\nAnswer: 16571656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11886\/151 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -54 - -53. Which is bigger: g or -7\/11?\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**10*(u\/(u*u*(u*u**2)\/u))\/u)**(2\/17)*((u\/u**6*u)\/(u\/(u**4*u)))\/(u**(2\/7)\/(u*u**4)) assuming u is positive.\nAnswer: u**(645\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1549.4 - -1549.3. Which is the closest to r? (a) -4 (b) 121 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**5*n + 151*f**5 + 640*f*n wrt f.\nAnswer: -20*f**3*n + 3020*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 x when two letters picked without replacement from ssroorysorxosos?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 3*i = -6*b - 165, 4 = i. Let y = b - -73. Solve -12 = -4*o, 0*h - 4*h = -2*o - y for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 125 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of -a**4\/4 + 5*a**3\/3 + a**2 - 224*a. Let j(i) = 2*i**2 - 5*i - 1. Determine 7*j(o) + 4*u(o).\nAnswer: 2*o**2 + 5*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/5 + (-928)\/(-640).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hjmmhmjyhrchyhmjmjry. Give prob of sequence rc.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 441343 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.94 + 0.06. Let q be 96\/1890*10 - (-4)\/(-18). Is q less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76125.\nAnswer: 3, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 131+-58.9\nAnswer: 72.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.6000002 - -3.6. Round t to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 757674?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147785.\nAnswer: 5, 11, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 255293 = 127*m - 60*m - 383418. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**5\/3 - 1160*v**4 + 106063*v**3 + 321670*v**2\/3 = 0. Calculate v.\nAnswer: -1, 0, 95, 3386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 96612372399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 142*x. Let h(f) = -9*f**2 - 423473506*f + 423473506*f. Give h(l(i)).\nAnswer: -181476*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-4 + 5 + (1 - 0))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 v, and 1 p when three letters picked without replacement from {q: 1, v: 9, p: 2, l: 4, t: 1}.\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -2 (b) -1 (c) -3 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9 + 1)*(-11 - -10) - 5. What is the remainder when 158 is divided by 1*(-116)\/r*618\/(-412)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -0.12473.\nAnswer: 0.049892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -875 + 106 - 591 = -136*l for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 531\/2 or 267?\nAnswer: 531\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, r: 3}. What is prob of picking 3 k?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -99546, -99553, -99560, -99567, -99574, -99581?\n\"Answer: -7*f - 99539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 20591 and -4.2957?\nAnswer: -88452.7587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 623 or 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*u = -90 - 0. Suppose 2*f + 1057 + 300 = p, -4*p + 5439 = u*f. What are the prime factors of p?\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 - (73 + -169) - 73.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41884 (base 14) to base 5.\nAnswer: 20024332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 3536336?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: -309 + 309 + 10 + 1 + -1 + 3\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hzk when three letters picked without replacement from iaktzkih.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 42*j + 87*j - 4 = 47*j, -2*w - 5*j + 26 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2*sqrt(162) + (sqrt(162) + -3 - sqrt(162)) + 3.\nAnswer: 1 + 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -r**5\/30 + 2*r**2. Let a(s) = -11*s + 28*s - 6*s - s. Calculate a(u(m)).\nAnswer: -20*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194*a + 5210 = -2162. Which is bigger: a or 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/1)\/(-2 + 1). Let g be (-38)\/(-56) + f\/(-4). Suppose -4*n = 9*s - 13*s + 12, 16 = -4*n. Which is the closest to 1? (a) g (b) 0 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1593*k - 1665*k - 216 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 3 (b) -1\/2 (c) 2\/3 (d) -20 (e) 1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5198, 5176, 5126, 5036, 4894?\nAnswer: 4688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -5*s - 1. Find the third derivative of -4*v**2 - 3*v**6 + 4*v**s + 5*v**2 - 4*v**2 wrt v.\nAnswer: 120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.7041 + 0.2959. What is the closest to 0 in 2, i, 0.5, 0.073?\nAnswer: 0.073","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -79\/3 (b) 0.5 (c) 3\/8 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1344 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -151.161 + 152.3. Let i = 0.239 - u. Which is smaller: 0.02 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 4*k**2 - 5*k + 13. Let b be w(6). Let h = b - 59. Let a(l) = -2*l - 1. Let i be a(2). Is h != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5585 is divided by 57?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -2 (c) 0.5 (d) 4 (e) -13240\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 71757 to the power of 1\/2, to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h**3 - 2*h**3 - 2*h**3 + (-2*h + 3*h + 0*h)*(0*h**2 - 3*h**2 + 2*h**2) to the form k*h + a*h**2 + r + l*h**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -327\/830 - 1\/166. Let t be 2 - (1*(-2)\/(-2) - 0). Which is smaller: t or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or 31088893\/8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54530 is divided by 357?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 11 = -3*g. Suppose g*p = 2*p. Let v = 4 - p. Is v bigger than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 723174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(-17)*c\/c**(-4\/5) assuming c is positive.\nAnswer: c**(-71\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g - 148 + 124 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - g = -2*g - 594. Is g greater than -62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -151*i**2 - 46*i - 95. Determine a(-4).\nAnswer: -2327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3786 - 11365 + 120*l**2 + 321*l**2 + 3790 + 3789.\nAnswer: 441*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2629.\nAnswer: 11, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.9 - -1. Suppose -2*v = -m - 4, 0 = -8*v + 13*v + 2*m - 28. Let k be (-5)\/((v\/18)\/(4\/(-6))). Which is smaller: k or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -324\/23 + 5646\/391. Let z(c) be the first derivative of d*c + 1\/34*c**4 - 13 - 2\/17*c**3 - 1\/17*c**2. What is u in z(u) = 0?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*w - 54*w - 4*w + 1280 for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 6061813\nAnswer: -1212362.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -317 - -506. Is u a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of 0*r**7 + 24*r**2 + 0*r + 0 + 0*r**3 - 1\/672*r**8 + 1\/60*r**5 + 0*r**4 + 1\/80*r**6. Suppose g(o) = 0. Calculate o.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 5*b + 1. Let o be f(-2). Let x = -2 - o. Let i be 0 - -1 - (x - 4). Is -2 != i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, b: 3}. Give prob of picking 1 o and 3 b.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 4352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*w**2 - 195*w - 191*w - 150*w + 27*w**2 + 11*w**2 + 536*w.\nAnswer: 80*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 77360 = -8*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.7 + -7. Let k = -0.06 + -0.04. Let o be 10 + -5 - (2 + 0\/(-2)). What is the biggest value in k, o, t?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 214586 to the nearest integer?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 3, b: 15}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + 177.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-16)\/6*(-132678)\/104?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.4, -0.043, -5, 5 in decreasing order.\nAnswer: 5, 4, -0.043, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -203 + 196 + 10 + 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1099 + 1099.0244. Round b to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110 - 10100100011111?\nAnswer: -10100100111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -404*x + 408*x + 28 = 0. Let n(y) = -2*y**2 - 13*y + 22. What is n(x)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -8 - -1 - (-3 + 2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 8, -414, -2\/17, -0.2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1564)\/(-23) - 1\/1. Let k = -492 - -785. Suppose -3*v = -z - k. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -254*b - 4 - 53*b - 7.\nAnswer: -307*b - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(243) + (sqrt(243)*1)**2 + sqrt(243))*5*-2.\nAnswer: -12150 - 900*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**2 - 40*u + 184. Give z(12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c + 32*c**2 + 6*c**2 - 6*c + 311 - 311.\nAnswer: 38*c**2 - 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*4*5*sqrt(425)*-2*1)**2 + 2 + 3.\nAnswer: 2720005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 53 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 36271 + -5144?\nAnswer: 31125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-4) - (-77100560)\/320. Suppose 18*x - a = -23661. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/sqrt(5)*5 - (-5 + sqrt(12))) + (-1*-3*sqrt(192))**2*1.\nAnswer: 3*sqrt(3) + 1733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 12011 (base 3) to base 16\nAnswer: 8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*h - 12*h + 19*h)*((3 - 11 - 14)*(1 + 4 - 3) + 63 - 4 - 9).\nAnswer: 84*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(1539) - (1 + sqrt(1539))) + (sqrt(1539)*-2 - sqrt(1539))*-3 - (1 + (-1 + sqrt(1539))*-5 + -3))**2 + 0.\nAnswer: 301644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f - 3*f - 3*f**3 + 4*f**2 - 9*f**3.\nAnswer: -12*f**3 + 4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 6, n: 6, d: 1, e: 2, t: 3}. What is prob of sequence en?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*l**2 - 7*l**2 + 3 + 0*l**2 + (-5 - l + 5)*(0*l + 0*l + 5*l))*(11*l - 39 + 39)*(0*l - 3*l + l).\nAnswer: 66*l**4 - 66*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*o**2 + 8*o + 3*o - 9*o in the form g*o**2 + v + h*o and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**4 + v**3 - v**2. Let c = -82 - -84. Let y(i) = 151*i**4 + 2*i**3 - 2*i**2 - 5. Let a(z) = c*k(z) - y(z). What is the derivative of a(m) wrt m?\nAnswer: -596*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1138 - -92. Is h a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 35 = -3*d - 838, 3*d + q = -888. Let t = d - -299. What is the remainder when 114 is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/4*(-1)\/(-3). Let k = 7 + -6. Let n = k + 4. What is the closest to b in -1, 2, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18 - 128*d - 19 - 155*d - 10 + 14*d wrt d.\nAnswer: -269","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z + 1. Suppose 3*i = 8*i + 5. Let k be j(i). Solve k*o - 5 - 7 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 22*p**2 + 26*p - 56. Suppose 0 = -2*g + 83 + 273. Let v = g + -38. What is the remainder when v is divided by l(23)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of -c**7\/168 - c**6\/900 + 4*c**3\/3 - 26*c**2. Let s(i) be the first derivative of k(i). Find q such that s(q) = 0.\nAnswer: -2\/25, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wpnw when four letters picked without replacement from {p: 4, w: 5, n: 6}?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/65*2 - (-1426)\/(-1495).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -101*w**6\/60 - 43*w**4\/6 + 12*w**2 - 2. Find the second derivative of b(s) wrt s.\nAnswer: -1212*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -112 by -1066433.\nAnswer: 112\/1066433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**9*(i\/(i*i**(-4)))\/i)\/(i**(2\/7))**(1\/6))**(-9) assuming i is positive.\nAnswer: i**(318\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1047026?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 5, 16 in decreasing order.\nAnswer: 16, 11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 7:37 PM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 574*t - 574. Let h be q(1). Suppose -2*s - 16 = -j - j, 5*j - 24 = s. Let l be (-1)\/s + (-34)\/8. Sort -2, h, l in descending order.\nAnswer: h, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1451*d - 1449*d. Solve d = -18*n - 50 - 58 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mthdf. What is prob of sequence mhtd?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -311*c**3 - 229*c**2?\nAnswer: -1866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3 + 70*i**2 + 3052*i - 3120.\nAnswer: -2*(i - 60)*(i - 1)*(i + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0.1, 2, 2\/7, -8.8.\nAnswer: -8.8, -8, 0.1, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1953 is divided by 35.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -10\/439?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 14*d**3 + 23*d**2 - 11*d - 8. Let i(x) = -5*x**3 - 8*x**2 + 4*x + 3. What is 11*i(j) + 4*r(j)?\nAnswer: j**3 + 4*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/15 (b) -10 (c) -1\/2 (d) -4\/185\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3200986.9827 + -3201164. Let k = -177 - m. What is k rounded to three dps?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = 2*a + 3*a. Let t(o) = o**3 - 2*o**2 - 2*o + 1. Let v be t(3). Let i = v - a. What is the greatest common factor of i and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.769236 - 5.4392633. Let r = -2.67 - a. What is r rounded to six decimal places?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_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: Let c be (8 - (-5 - -20)) + 68\/4. Let q(k) = k**3 - 11*k**2 + 9*k + 17. Calculate q(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2062751 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2672*m*s**2*v**2 + m*v**3 - 2*s**2*v**2 - 145*s*v**2 + 18*v**3 with respect to m.\nAnswer: 2672*s**2*v**2 + v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -868, -2450, -4754, -7780, -11528, -15998, -21190?\nAnswer: -27104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.050561 millimeters in nanometers?\nAnswer: 50561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-3*(sqrt(243) - ((sqrt(243) - sqrt(243)*1 - sqrt(243)) + sqrt(243))) + -4 - ((0 + sqrt(243))*4 - -6*-2*sqrt(243)))*-4)**2.\nAnswer: -5760*sqrt(3) + 97456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8602397 is divided by 1345?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = n + 14, 9 = 4*i - 5*n - 19 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 277408 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5724595 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1060 divided by -758.\nAnswer: -530\/379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 35738167?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1424663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -3*b + 62. Let j be f(19). Suppose 1 = -o, 121 = j*x - 2*x - o. Suppose -2*n + 46 = -x. What are the prime factors of n?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 s, and 1 l when three letters picked without replacement from {l: 1, h: 1, s: 4, n: 2, d: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 6*p - 3 = 0, -1081*a + 2170*a - 1087*a = 5*p - 8 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -169, -292, -431, -592, -781, -1004?\nAnswer: -1267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k = -21*k + 6. Suppose 0 = b - k, 10*d - 6*d - b - 19 = 0. Suppose d*w = 3*u - 147 - 995, -4*u - 5*w + 1581 = 0. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -7*k**5 - 7*k**3 + 7*k**2 + 3*k - 7. Let u(g) = g**3 - g**2 - g + 1. Let d(v) = -2*c(v) - 14*u(v). What is the second derivative of d(m) wrt m?\nAnswer: 280*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7578)\/(-14) - 4\/14. Let b = -1125\/2 + n. Calculate the common denominator of b and 51\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 59521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 4*w + 16. Let u(x) = -13*x - 49. Let f(h) = -6*u(h) - 21*v(h). Is f(-20) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4.5281253 at least as big as 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (-1 + sqrt(72) + sqrt(72))*-3)*-6 + (1 + 6*(sqrt(72) - (sqrt(72) - (sqrt(72) + -1))))*1)**2*4.\nAnswer: -22176*sqrt(2) + 508516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 68*g - 30. Let o be j(6). Let i(a) = 182*a - o*a + 10 + 180*a. Is i(-6) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -32*h + 31. Determine g(3).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 3*g. Which is smaller: g or 2\/15?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -141, -143, -145, -147, -149?\n\"Answer: -2*c - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 times -0.5?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of -5*b**4\/24 - 178*b**2. Let v(q) = -20*q. Calculate 25*c(p) - 6*v(p).\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*2\/3*147\/(-98).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-261*d**2 + 550*d**2 - 121*d**2)*(-d + 0 + 0) - 2*d**3 - d**3 + 4*d**3.\nAnswer: -167*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24030 by 5.\nAnswer: 4806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/95 or -5\/3871?\nAnswer: -5\/3871","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 542.622 micrometers in meters?\nAnswer: 0.000542622","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-4) - 84\/16. Let s(u) = 83*u - 7. Let i(b) = 104*b - 8. Let m(l) = -4*i(l) + 5*s(l). Calculate m(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -799 - -794. What is the closest to 0.6 in -4\/7, y, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 15*i**2 - 14*i + 4. Let f be w(-14). Solve 5*r + f = -11 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 66033 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3040609 to the power of 1\/2, to the nearest integer?\nAnswer: 1744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 8*w + 1 = -f, 0 = 2*f + 2. Let a = 19 + -19. Suppose w = 11*d - 11 - a. What is the nearest to d in 0.1, 0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20304830759 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 417778649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13073 - 13071. Solve 3*b + 27 = -3*j, -15 = t*j + 4*b + 13 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*a = -4763 - 366 for a.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 w when two letters picked without replacement from {f: 1, y: 5, n: 2, w: 4, j: 1, a: 2}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.35+7267\nAnswer: 7267.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + 9*n + 1. Does 6 divide x(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66826, -66834, -66854, -66892, -66954, -67046, -67174, -67344?\nAnswer: -67562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -50198*c**2 + 14784?\nAnswer: -100396*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(1\/5)*s)\/s*s*s*s\/(s**(-5\/2)*s)*s**(-3)*((s**0\/s)\/s)\/s assuming s is positive.\nAnswer: s**(-3\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -342262105 + 4?\nAnswer: -342262101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(300))\/sqrt(5))\/sqrt(12) - ((sqrt(500)\/sqrt(4) + sqrt(5) - sqrt(5) - sqrt(5)) + -1))**2*4.\nAnswer: -48*sqrt(5) + 724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 188 + -110. Let p be (x\/4)\/(118\/4). Let q = -770\/531 - p. Find the common denominator of q and -40\/7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 49*q - 123. Let d be a(3). Let f(n) = 1 + 26*n**2 + d*n - 11*n - 13*n. What is f(-1)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1316426, -5265648, -11847684, -21062534, -32910198?\n\"Answer: -1316407*a**2 - a - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-6)\/(-9) + 277\/120 and ((-44)\/6)\/(96*(-84)\/567)?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -180482 - 39\nAnswer: -180521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 299 - 130. List the prime factors of k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7220 + -7215. Factor 1\/3*a**4 + 1\/6*a**l + 0 + 1\/2*a - 2\/3*a**3 - 1\/3*a**2.\nAnswer: a*(a - 1)**2*(a + 1)*(a + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + 6*i - 2. Let q be a(5). Suppose -l + 24 = -5*b, l = -b + q*b + 12. Solve w + l = -w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -4*p - 309 - 3*p + 304 - 5*p**3 + 2*p. Let w(d) = d + 1. What is h(k) + 5*w(k)?\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 11:55 PM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7497840883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 186 - -ca?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.1237 times 0.7\nAnswer: 0.08659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0 (b) -0.45 (c) -3 (d) -263\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 174 and 928.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (75\/500*2*4 - 0)\/(-8).\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38309 rounded to the nearest 100?\nAnswer: 38300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -1. Let u(m) = m - 6. Let b(l) = -2*l**2 - 9*l - 3. Let z be b(-6). Let o(t) = z*y(t) + 3*u(t). Give o(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 6969270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4046626?\nAnswer: 2, 2023313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3142920, 6285840, 9428760, 12571680, 15714600?\n\"Answer: 3142920*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -12027\/23 > -524?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 12*j - 32. Let s be x(-4). Let o(u) be the second derivative of 8\/3*u**3 - 1\/6*u**4 + s + 9*u - 16*u**2. Factor o(f).\nAnswer: -2*(f - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (14 + -2 + -9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -92*c**3 - 11*c**2 - 11*c - 10. Let d be q(-10). Round d to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f**2 - 3*f**2 + 3*f**2 + 3*f**2 + 0*f + 0*f + (f + 2*f**2 - f)*(-4 + 5 - 2) - 2*f**2 + 0*f + 0*f + 5*f**2 + 0*f**2 - 3*f**2.\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.1, 0.17, 56, 2, 11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -49*b**3 - 32*b**3 + 14*b + 12*b**2 - 12*b**2 wrt b.\nAnswer: -486*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16905*f*l**3 + 2627116*f*l**2 - 212*l**3 wrt l.\nAnswer: 101430*f - 1272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 + 2*s**2 - 5*s**2)*(3*s - 5 + 5)*(2*s - 2*s + 2*s**2) + (-2*s + 2*s + 2*s)*(4 - 2*s**4 - 4) + s**5 + 0*s**3 + 0*s**3 - 4*s + 2*s**5 + 4*s.\nAnswer: -13*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 148 + -111. List the prime factors of o.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3 - 243768*r**2 - 2437455*r - 6093450.\nAnswer: -3*(r + 5)**2*(r + 81246)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 16 = -238. List the prime factors of o.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t**2 + 215*t + 814. Let i be b(-4). Solve -2*w - 8 = -0*w + i*f, 0 = f + 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 2\/161, -0.05, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -26754931, -26754933, -26754935, -26754937, -26754939?\n\"Answer: -2*v - 26754929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.08 (b) -0.1 (c) 4 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -542.2 times 0.06\nAnswer: -32.532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*x + 108 - 24 + 15 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33 + 31. Sort m, 4, 5 in ascending order.\nAnswer: m, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 6*h**2 + 81*h + 44. Let d be i(-13). Calculate the greatest common factor of d and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 41 = -11. Let m be ((-14)\/y)\/(6\/1080*-4). Let p = m + -54. List the prime factors of p.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 6*f + 4. Let h(t) = t + 1. Let b(z) = 2*d(z) - 11*h(z). Let u be b(3). Suppose -5*w + w = u. Solve 3*m = -w*m + 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/2 of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-602*x**2 - 462*x**2 + 120*x**2)*(3*x**2 + 4*x**2 + 2*x**2) in the form l*x + i*x**3 + k*x**2 + s*x**4 + w and give s.\nAnswer: -8496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d = -d + d + 2*d - 8, -t = d - 10 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 446\/14 - (-19496)\/17059.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 387507 is divided by 1318.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 3866*b + 50080. Give i(13).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41965327697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2036, 7954, 17756, 31442, 49012, 70466?\nAnswer: 95804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -1, 3, -467188, 4 in descending order.\nAnswer: 4, 3, 1, 0, -1, -467188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 9:47 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3230330201232 - -2?\nAnswer: -3230330201230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -723*p + 10888 - 10888 to t*p + s and give t.\nAnswer: -723","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 31\/2 of a millennium?\nAnswer: 1550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*h + s = 7, 0 = -3*s - 15. Solve 0 = h*k - 2 + 14 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/5)\/(80 - 81). What is the smallest value in -6\/7, w, -0.5, -0.1?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.55 - 0.49. Let r = -2\/13 - -21\/52. Is o not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/1*(2 + (-140)\/(-8)).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + 5*o + 6. Let h = -3 - -2. Let w = h - 3. What is the units digit of q(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 4*u**3 - 2*u**2 + 4*u - 11. Let k(h) = -11*h**3 + 5*h**2 - 11*h + 32. Let o(c) = 3*k(c) + 8*w(c). What is the units digit of o(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - t - t + 0*t - t + 2*t + (-5 - 2 + 5)*(4*t - 3*t + t) + 0*t + t - 3*t + 4 - 4 - 3*t + 218*t - 454*t + 102*t)*(1 + 3 - 5).\nAnswer: 143*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 divided by -475.\nAnswer: -46\/475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 8 + (116 - 114) + -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -17*g + 4*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-11266)\/129)\/131*(-1140)\/8\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -534 + 534. Let u(p) be the second derivative of 1\/5*p**6 - 21\/20*p**5 + 0 + 0*p**2 - 1\/2*p**4 + b*p**3 - 2*p + 1\/2*p**7. Find k, given that u(k) = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -7*i**3 - 6*i**2 + 2*i + 20. Let x(v) = -2*v**3 + v**2 - v + 1. Let h(w) = -p(w) + 3*x(w). Does 9 divide h(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -4*i + 1. Let t be u(-2). Let p(k) = t + 5*k + 5 - 8. Does 20 divide p(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -39049*j - 9998*j - 15278*j + 7224*j - 8955*j - 23281*j + j + 2 - 2 + (2 - 2 + 2*j)*(-1 + 2 + 1) - j - 1 + 1 in the form a + w*j and give w.\nAnswer: -89333","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u = -7*u - 4556. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 5901.\nAnswer: 5893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 215702 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-15) - (48\/312 - (-888)\/(-195))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d. Suppose -4*g = -10*g - 288. Let n = 52 + g. Let t(f) = -8*f - n*f - 3*f - 16*f. Determine t(u(j)).\nAnswer: -62*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.33 + -1.196. Let q = 37010 - 37012. Sort j, -5, q in descending order.\nAnswer: j, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -266, -297, -326, -335, -306, -221, -62?\nAnswer: 189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6194 + 0?\nAnswer: 6194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 18711?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14065 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 13861, 27735, 41619, 55519, 69441, 83391, 97375?\n\"Answer: r**3 - r**2 + 13870*r - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-7)\/5)\/((-6)\/30). Suppose -2*x + 3*x = o. Factor -1 - 1 + x*t - 3*t - 2*t**2.\nAnswer: -2*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25579*z**2 - 12797*z**2 - 12861*z**2.\nAnswer: -79*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -53*d + 277. Let w be z(-34). Suppose 9*y - w = -12*y. What is the remainder when 394 is divided by y?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d. Let x be (2\/4)\/(4\/8). Let f(b) = -x - 2 - 2*b + 3. Calculate a(f(y)).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a gram in milligrams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -22 - (40680\/(-205))\/9\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 5*z**2 - 36*z - 19. Let t be d(9). Suppose 0 = -5*f + 683 + t. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3323311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/36 and 43\/28?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -2*v - 4*t, -3*t = -3*v - 27 - 42. Let z = 22 + v. Suppose 53 = i - 3*w, 2*w + 232 = -z*i + 4*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4*g + 22. Let i be 4 - 4*20\/(-8). Let b be l(i). Let v = b + 32. Which is smaller: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -57 + (-12)\/(-20)*5. Let c = 67 + g. Calculate the remainder when 77 is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + w + 3*o = -11, -5*w = 5*o + 15. Let m be (7 - 1)\/(12\/6). Sort w, m, 4.\nAnswer: w, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**4 + 0*v**2 + 0*v**2 + 3*v**4 - 14*v**4 - 12*v**4 + (-2*v**2 + 1 - 1)*(0*v**2 + 0*v**2 + 2*v**2).\nAnswer: -28*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*u - 4 = -18*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f + 4. Let j = 27 + -22. Let q be t(j). Put 2, -4, q in increasing order.\nAnswer: -4, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 704957.5 micrograms to tonnes.\nAnswer: 0.0000007049575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of c**5\/60 - c**4\/24 + 3*c**2. Let f = 13 - 12. Determine h(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6614613 is divided by 8692?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from -641.457593983.\nAnswer: -643.457593983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 4*r**2 + 2*r + 14. Let q be g(5). Let x(u) = 550*u**2 + 9*u + 11. Is 46 a factor of x(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3127 (b) 1 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*z - 140 = 6*z + 44*z for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (62\/(-6))\/((-1)\/(-3)). Let v = x + 62. Suppose 0 = d + 3*l + 1 - 6, l - v = -3*d. Calculate the least common multiple of 11 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*u + 1549 - 1172 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 6*n - 65 = 0. Let f = 4 - 0. Suppose f*b = n + 43. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 6, -0.2, -1\/32?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 500, 498, 496, 494, 492?\n\"Answer: -2*b + 502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + 6*v**2 + 3*v - 5. Determine p(7).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 1334 = 3136. Is 8 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, b: 2}. What is prob of picking 2 l and 1 b?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 5. Let i(l) = l**2 - 3*l. Let y be i(-3). Suppose -4*w + 4*j + 2 = -26, 0 = 4*w + j - y. Put 4, s, w in decreasing order.\nAnswer: w, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((10848\/(-36))\/(-226))\/((-2)\/72)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -i**5\/60 - i**4\/24 - 293*i**2. Let o(r) = 9*r**2 + 8*r - 2. What is o(s) + 6*q(s)?\nAnswer: 3*s**2 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 19460196.1.\nAnswer: -19460198.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4*x. Let v(o) be the third derivative of -91*o**5\/30 - o**3\/6 + 540*o**2 - o. Give q(v(t)).\nAnswer: -728*t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0737071 litres to millilitres.\nAnswer: 73.7071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13870 - -4?\nAnswer: 13874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.09 + 0.19. Which is the third biggest value? (a) 3\/11 (b) q (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230743423181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 0. Suppose 3*j + 68 = -z + 14, 0 = 2*z + q*j + 102. Let x be ((-2)\/(-4))\/((-4)\/z). What is the highest common divisor of x and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -26*b**2. Let r(j) = -65*j**2. Give r(h(x)).\nAnswer: -43940*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11\/40 - -31\/40. What is the smallest value in 0.25, j, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31459 is divided by 10450?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 34*y = 145. Let o(j) = -2*j**3 - j + 1. Let d be o(1). Let s = 4 + -2. What is the closest to -2\/3 in s, y, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 3 = p. Let t be p + (4 - 3) + 0 + 4. What is the remainder when 13 is divided by 7*1 - ((t - -6) + -7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12.453748 * 3.4.\nAnswer: 42.3427432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 + 25 = 2*h. Suppose -104 = -2*f - h. What is the remainder when f is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of 0 - 1\/30*y**5 - 1\/6*y**3 + 0*y - 1\/24*y**4 - 5*y**2. Determine u(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 76\/15?\nAnswer: 76\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 36*t. Let o(u) = -2*u. Calculate b(o(d)).\nAnswer: -72*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 567.5488kg?\nAnswer: 0.5675488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 469379213?\nAnswer: 469379213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**5\/5 + 133739*j**4\/5 + 632702*j**3 + 302924*j**2 - 12654088*j\/5 - 8198304\/5 = 0. What is j?\nAnswer: -44556, -23, -2, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3 - 3*x - 3*x**3 + 9*x**2 - 7*x - 2*x + 3*x.\nAnswer: -3*(x - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - t + 1. Let s(h) = 89*h**2 - 296*h - 6. Let c(f) = -s(f) - 6*v(f). Find the second derivative of c(m) wrt m.\nAnswer: -190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - v**2 - 3*v + 3. Let p be u(-3). Is 30 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 493 by -252.\nAnswer: -493\/252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -59\/204 + 2\/51. Let i = -166 - -285. Let q = 121 - i. Which is the nearest to q? (a) 5\/6 (b) p (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*q*z**5 - 6*q*z**3 - 31*q*z**2 + 4*q wrt z?\nAnswer: -240*q*z**2 - 36*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 0 - 2*g**3 + 5*g**3 + 38*g**2 + 2*g - 38*g**2 + 2*g**3 + (-2 + 1 + 3)*(-4*g**3 + 12*g**3 + 18*g**3).\nAnswer: 57*g**3 + 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/5 + 512*d\/5 + 12232\/5.\nAnswer: -2*(d - 278)*(d + 22)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 2079 divide 37060254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 614 is divided by 85.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18596 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 10:04 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**3 + d**2 + 3*d + 3. Let k = -13 - -11. Give g(k).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000053214987 rounded to 7 decimal places?\nAnswer: -0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -154717003 and -0.1.\nAnswer: -154717003.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(1\/3))**7)**(-2\/19))**(-32) assuming j is positive.\nAnswer: j**(448\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 193283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 1, 2*r + 10*h - 5*h = 17. Is r even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1216) + 2 + sqrt(1900) + 4 + sqrt(1900).\nAnswer: 6 + 28*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**3 + 3*a**3 + 0 - 2*a + 6 + a**4 - 2*a**3 as n + l*a**3 + z*a**4 + p*a**2 + q*a and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 t when two letters picked without replacement from {t: 2, h: 4, i: 1, q: 1}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -12\/216391 and -55\/1121.\nAnswer: 12767069","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22641, -90727, -204203, -363069, -567325, -816971, -1112007?\nAnswer: -1452433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -43792 (base 14) to base 10\nAnswer: -163396","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 4:27 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 14151 = -q - 9131, -4*p + q + 18625 = 0. What is the thousands digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 2*l - 1. Let x be (18\/3 - 5)*-5. Let i(d) = d**2 - 5*d + 3. Let f be i(3). Put l, f, x in ascending order.\nAnswer: x, f, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/(-8))\/((-2)\/(-4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2469834980 to the power of 1\/2, to the nearest integer?\nAnswer: 49697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-196)\/(-70))\/(4\/(-10)). Let b(z) = -14*z + 16. Is 6 a factor of b(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24254522417 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/3 - 2*g**2\/3 + g\/3 + 2\/3.\nAnswer: -(g - 1)*(g + 1)*(g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 - 6 - 15*d**2 - 670540*d + 670541*d to the form q + z*d + l*d**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33.02 - -36.02. Sort z, -4, -1\/85, -0.3.\nAnswer: -4, -0.3, -1\/85, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f + 1. Let n(l) = 7*l + 21. Let d = 79 + -82. Let j(a) = d*v(a) + n(a). What is j(0)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*f + 4333 = 22565. Which is greater: f or -162?\nAnswer: -162","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3092 - 1037 - 3*d - 1023 - 1032 - d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187 - 56 + 31*n**2 - 131.\nAnswer: 31*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + 2. Suppose 3*h + 52 = 4*u, -2*u + 3*u - h - 14 = 0. Suppose 30 = u*s - b*s. What is the highest common divisor of 15 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.5 + 0.5. Suppose 2*q - 16 = 4*n, -2*q + 6*n + 18 = n. Suppose q*x - x = -12. Which is the biggest value? (a) x (b) l (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 47*x.\nAnswer: -47*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -154, 4, -2, 1088.\nAnswer: -154, -5, -2, 4, 1088","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -10. Let z = -7.97 - 0.03. Let o = z - -8.3. What is the nearest to 1 in a, -2\/7, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + 7*h - 6. Let v be z(5). Let j(d) = d**2. Let f be j(-2). Find the first derivative of 2*m**f - 3*m**4 + v - 1 wrt m.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 72013.85?\nAnswer: 21604.155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 29*x + 5. Give h(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 972787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 6*y**2 - 3*y + 5. Let u(l) = l**2 - l + 1. Let w(j) = b(j) - 4*u(j). Determine w(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2265*a + 52861 + 154177 = -7490*a - 54212 for a.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 241181?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 33856626 to the power of 1\/3, to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*g = -5*k + 36*g + 580, 5*g = 3*k - 326. Is 5 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3582060?\nAnswer: 2, 3, 5, 227, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3649 or 190668?\nAnswer: 3649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-4\/9)*i*i\/(i**(-8\/9)\/i))**3)**(2\/43) assuming i is positive.\nAnswer: i**(62\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - 10*f**2 + 11*f + 2. Let m be (-2)\/(-12)*4*3. Suppose r = -4*h + 21, -7*h + m*h = 5*r - 60. Let l be w(r). Solve 2*a = -2*a + l for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 0. Solve -5*y + 3 = 3*c - a, -4*y + 2*c = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 33110.\nAnswer: 33110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-3))\/(10\/36).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 15391001, 30781997, 46172995, 61563995, 76954997?\n\"Answer: d**2 + 15390993*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.74 + -6. What is l rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from 14575.\nAnswer: 14570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 + -30. Solve g*r - 4*j = r - 17, 4*j = 5*r + 35 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.8 and 311.3799293.\nAnswer: 312.1799293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4318 is divided by 397.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 16*i + 21. Let y(f) = -13*f + 1. Let g(t) = 11*t. Let k(j) = 5*g(j) + 4*y(j). Give 22*k(w) - 4*v(w).\nAnswer: 2*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-4))\/(4\/80*1). Let w = m + 11. Is 0 smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7693?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110001001 + 100001110?\nAnswer: 1010010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 234407\/320 - 7341\/10. Calculate the common denominator of 19\/88 and c.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -y**4\/4 - 197*y**3\/4 + 1489*y**2 - 5152*y = 0?\nAnswer: -224, 0, 4, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -61293 + 61631.67. Round q to 0 decimal places.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 3 + 12 - 6*c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 113341 and 113351 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, 77\/267, -1\/6, 13 in increasing order.\nAnswer: -1\/6, -0.05, 77\/267, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 5*t - 14, -28*q + 27*q = t - 1. Let a be (5\/2 - 1) + -2. Which is smaller: q or a?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*w + 85 = 37*w. Suppose -w = 3*a - r - r, 2*a + r = 6. Let k(x) = x**3 + x**2 - 5. Let c be k(0). What is the closest to -5\/3 in a, -2, c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2178030 is divided by 414?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7898 - 7893. Solve -20 = -3*h - p for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000397375 to 5 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-16))\/((-1)\/2). Let p = 0.2 + -0.25. Let a = 1.05 + p. Which is greater: a or j?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -54.2 - 189.8. Let n = 243 + s. Let d be 2\/8 + 75\/(-12). Sort 5, n, 1, d in increasing order.\nAnswer: d, n, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-21)*i*i\/i**(13\/2))\/(i\/(i\/(i\/(i**(-2\/15)*i*i)*i))*i**(4\/15)) assuming i is positive.\nAnswer: i**(-249\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -345060*m**2 + 174355*m**2 + 170668*m**2.\nAnswer: -37*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -27*o**2\/2 - 20*o - 866. Let y(x) = -2*x**2. Calculate y(l(g)).\nAnswer: -1458*g**2 - 2160*g - 800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + o - 28. Let h(j) = 5 - o*j**3 + 9*j**3 + 2*j**3 + 6*j**3 + 2. Let q(c) = -4*c**3 - 8. Determine -6*h(z) - 5*q(z).\nAnswer: 2*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.03? (a) 2\/19 (b) -34 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/11? (a) 2\/25 (b) 847 (c) 166\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/331546 and 47\/18.\nAnswer: 2983914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 261 - 84 + 2*n - 89 - 74*n**2 - 89 in the form q*n**2 + b*n + j and give q.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 682, 1387, 2088, 2785, 3478, 4167, 4852?\nAnswer: 5533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2641, -2648, -2655?\n\"Answer: -7*o - 2634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-18)\/(-63) - (-2)\/(-7). Let p be (-2 - (-2 - 3)) + d. Suppose p*i - 15 + 0 = 0. What is the least common multiple of 9 and i?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 6\/5 of a hour?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_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: Evaluate (8 - -2) + 26 - (16 - (36 + -28)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 4?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3920504 and -4.8.\nAnswer: -18818419.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/(-20))\/((-2)\/(-10)). Find the third derivative of -s*u**2 + u**6 + 0*u**2 + 3*u**6 wrt u.\nAnswer: 480*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (-460)\/45 + (-44)\/(-117)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -64 - -68. Suppose -s*f + 2*i = -171038, f - 4*f = -4*i - 128286. Let q = 76958 - f. Round q to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 911.5221 micrometers to meters.\nAnswer: 0.0009115221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 - -71. Let s = o - 51.99999942. What is s rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1543 (base 7) to base 2\nAnswer: 1001101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2 - 13 = 0. Suppose -4*j + p + 11 = 0, 0 = 5*j - p - u*p. Is j a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3882*o**3 - o**2 + 181.\nAnswer: 23292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - y - 6 = 0. Suppose -4*q + 3*p = -3, 0*p - p = y*q + 1. Suppose -3*x + 11 + 13 = q. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + 2995670.4.\nAnswer: 2995670.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/36 and -151\/23800?\nAnswer: 214200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -51\/223?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3137376?\nAnswer: 2, 3, 11, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1145221932 to the nearest integer?\nAnswer: 1046","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 5*r + 95, 2*r + 18 - 16 = 0. Suppose 5*m = -s + y, 2*m = -4*s + s + 36. What is the remainder when 40 is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -332*o**2 + 154*o**2 + 168*o**2.\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**13\/y*y*y**10\/y)\/(y*y*y**(-2))**13 assuming y is positive.\nAnswer: y**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 9*a - 6. What is the remainder when 61 is divided by n(11)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -2\/5 (b) -4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68, -63, -74, -101, -144, -203, -278?\nAnswer: -369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 288528 divided by 6.\nAnswer: 48088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(3*-6)*564\/(-94)*15.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.25, -5, -0.06, -55?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1771 a factor of 125385029?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pg when two letters picked without replacement from {s: 2, p: 1, r: 1, g: 1, n: 1, i: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2268*u - 22882. What is s(-10)?\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = a + 4*h, -3*h - 10 = 2*h. Let t(b) = -2*b. Let z be t(a). Suppose z = 3*g - 24 + 6. Solve -g = 2*c - 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 4:04 PM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 11*h**2 + 11*h - 10. Let z be d(-12). Suppose z*v + 0 + 38 = 0. Let j(m) = m**2 + 18*m + 27. Does 46 divide j(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 5) + (3 - 0)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -2 (b) -5 (c) 0.106 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {i: 15, d: 5}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, a: 1, m: 3, y: 5, e: 6}. Give prob of picking 1 y, 1 e, and 1 a.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/(-60)*9*4\/(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 333*t**2 - 29*t - 29. Let b(a) = 23*a**2 - 2*a - 2. Let k(l) = -58*b(l) + 4*i(l). Let f(v) = 2*v + 448. What is k(f(q))?\nAnswer: -8*q**2 - 3584*q - 401408","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5473\/3 - -1845. Calculate the common denominator of -42 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -2\/17 (b) -2 (c) -71 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i**2 - 6*i - 13. Let v be h(9). Let q = v + -95. Suppose -5*g + 3*g - z + 530 = q, -5*g = -z - 1325. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 438407*i**2 - 112*i**3 - 171*i**3 - i - 438410*i**2)*(-3 + 5 - 3).\nAnswer: 283*i**3 + 3*i**2 + i + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(1\/3)\/t*t**(1\/12)\/t*((t*t**(-6)\/t)\/t)**(-6) assuming t is positive.\nAnswer: t**(485\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 112*c**3 - 77*c - 17699 wrt c?\nAnswer: 336*c**2 - 77","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 4*x - 16. Let a be t(3). Let b(j) = j + 9. Let i be b(-5). Put -3, i, a in decreasing order.\nAnswer: i, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/26? (a) 0.32 (b) -0.5 (c) 0.3 (d) 0.4 (e) -17 (f) 2\/23\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1558.999997183 - -1559. What is p rounded to 7 dps?\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2934203?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 133 - 933\/7. Sort -3, 0.4, q in increasing order.\nAnswer: -3, q, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 480 = 2*n - 4*n. Let r = n + 243. Solve 4*f = -r*h + 4, 0 - 4 = -2*h - 4*f for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1347.4 - -5\nAnswer: 1352.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 27 = 3. Is (-6442)\/y*7\/((-28)\/(-8)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41\/2 + (-3)\/6.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -427234, -427135, -427022, -426889, -426730?\nAnswer: -426539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -176\/9, 2\/9, -1124?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 330 - 14?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -236560000 to the nearest one million.\nAnswer: -237000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y - 2*y + 2*y + 0 + 4. Let q be i(-4). Solve 3*x - z - 13 = q, -4*x - 4*z = -28 - 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*z - 8958 + 115 = 0. Calculate the remainder when z is divided by 103.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6514880, -26059530, -58633946, -104238128, -162872076, -234535790?\nAnswer: -319229270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3854852 to the power of 1\/2, to the nearest integer?\nAnswer: 1963","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and 40349861.\nAnswer: 40349860.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 249571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 7:19 PM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 4:06 AM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**4 + 3*l**4 - l**4 + (0*l + 4*l - l)*(l**3 + 2*l - 2*l) + l**4 - 2*l**4 + 1 + 0.\nAnswer: 5*l**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-12) + 9\/4. Suppose -b*o + 2*g - g = 5, 4*g = -o + 20. Put -4, 4, o in decreasing order.\nAnswer: 4, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5856 and 768?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5 = 1. Suppose -2*a + 5*j = u*j - 52, a = 5*j + 26. Is 13 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -33508, -33512, -33518, -33526, -33536, -33548?\n\"Answer: -j**2 - j - 33506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 90\/(-1)*362\/(-3620) and 19.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-1) + -1 + -18. Let s = c + 29. Let p = s - 8. Calculate the greatest common divisor of 12 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*k + 24*k = 36*k + 5*j + 38, -2*k - 10 = 4*j for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -1, 2\/19, 3?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 + 139 = 7*h. Differentiate -9 + 18 + 14 - h*j**4 + 104*j**4 wrt j.\nAnswer: 296*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 39 - 16 = -i, -8*q + 1161 = i + 1356 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 414, -8\/7, -2\/7 in decreasing order.\nAnswer: 414, -2\/7, -8\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3132*n - 571. Let c be d(-2). Which is greater: c or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24132, -48331, -72592, -96915, -121300, -145747?\nAnswer: -170256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -12*k**3 - 4*k**2 + 57*k - 56. Let i be u(44). What is i rounded to the nearest 10000?\nAnswer: -1030000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pe when two letters picked without replacement from ooooepepvpoopepo.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3*q + 49. Calculate t(13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4282 - -6540. Does 8 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) -60 (c) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -41 - 9*j + 77 - 51 + 31*j**2. What are the prime factors of k(-3)?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p - 6. Let a be f(8). Suppose 0 = -3*h + h - a. Put h, 0.4, -0.5 in ascending order.\nAnswer: h, -0.5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -7*m**2 - 2*m - 469. Let i(u) = 6*u**2 + 2*u + 469. Let q(h) = 6*i(h) + 5*o(h). Let k be 0*(-1 + 5 - 5). Is q(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s**4 + 104*s**3 + 340*s**2 + 232*s = 0 for s.\nAnswer: -2, -1, 0, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8533, 8445, 8245, 7879, 7293, 6433?\n\"Answer: -9*w**3 - 2*w**2 - 19*w + 8563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 406 + -2848\/7. Is l <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4397 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 210 - 148. Let l = 70 - p. Solve -1 = h, f - l = -f + 2*h for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22788\/15505 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 3*s - 3, q - 2*q - 3 = -3*s. Which is the nearest to q? (a) 1 (b) -0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-30)*5*28. Solve 2*c + 5*a + 1 = -z, -3*c - 12 = -3*a for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14\/5 - -47\/15. What is the nearest to -1 in -1\/5, -6, m?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 14*i - 3*g = 5*i - 502, -12*i + 9*i - 5*g - 85 = 0 for i.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*2*87\/58. Let w be (z - (1 - -1)) + (-54)\/42. Let s = -227 - -2045\/9. Which is the closest to w? (a) 2 (b) -5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 927247\/1075440 + 4\/13443. Calculate the common denominator of l and -35\/2.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*((y**(2\/111)*y*y)\/y)\/y)\/(y*y**(3\/2)\/y))**9)**(-35) assuming y is positive.\nAnswer: y**(11235\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -s + 5*s - 103131. List the prime factors of s.\nAnswer: 3, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/16 and -67\/229710.\nAnswer: 1837680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -8, -2, 0.5, -3, -56?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46 - 34. Let i = l + 4. What is the least common multiple of 6 and 11\/(-22)*i*-3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 22*m - 19*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**2 - 2*t + 2*t)*(-t + 0*t + 0*t) + 4*t**3 - 7*t**3 - 4*t**3 - 1 + (-18*t**2 - 63 + 63)*(0*t - 4*t + 3*t).\nAnswer: 14*t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, 2115, -1\/2, -2\/17, -110?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + u. Let d be h(-2). Suppose 5*k = p + 3*p - 66, -k - 22 = -3*p. Is k less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 9. Let z = -2.6 + 3. Let s = -0.2 + z. Which is the closest to -1? (a) s (b) -3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-64)*-4)\/(7\/(-238)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/34958712 and -9\/7.\nAnswer: 244710984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 70 + 562d?\nAnswer: 569d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -145*t**2 - 722*t + 7. What is g(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 37*l**2 + 227*l - 115. Give f(-29).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -5*a**3 + 13*a**2 + 12*a - 33. Let b(y) = y**3 - y. Let r(n) = -6*b(n) - t(n). Is 15 a factor of r(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25603 - -25602.6. Which is the closest to 9.9? (a) 3.9 (b) -2\/21 (c) -4\/5 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -355, -2954, -10007, -23740, -46379, -80150?\n\"Answer: -371*i**3 - i**2 + i + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1813.86739 + -1.7.\nAnswer: 1812.16739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*v - 6*v - v**2)*(-2*v - 1 + 1)*(0 + 3 - 2).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15083?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 7:19 AM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176923 = 1414*y + 186821 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 4*g + 18 = 0. Suppose -4 + 7 = g*k. Put k, -10, 3 in ascending order.\nAnswer: -10, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*v + 17. Suppose 0 = 5*u + t - 2468, v*t = -u + 42 + 460. What is the greatest common factor of 17 and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 85350 and 28150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16767?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -878 - -917. Let h(j) = 31*j + 17. Let a be h(7). What is the greatest common factor of f and a?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -241 + 207.4. Let a = 33.9 + q. What is the third smallest value in 12, -2\/15, a?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of 0 + 0*g + 121*g**2 - 17\/15*g**5 + 0*g**4 + 50\/3*g**3. What is the first derivative of l(f) wrt f?\nAnswer: -136*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -139712, -139723, -139744, -139775?\nAnswer: -139816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 12*s**2 + 9*s + s - 10*s. Let j(r) = 2*r. What is o(j(d))?\nAnswer: 48*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - -62. Let d = k + 8. List the prime factors of d.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11220 (base 3) in base 16?\nAnswer: -84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 219 and 3300.\nAnswer: 722700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5021 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 2:19 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 742, 748, 754, 760, 766, 772?\n\"Answer: 6*i + 736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1098312*c + 7816 - 7816.\nAnswer: 1098312*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k = -t - 37, 4284219 = 2*t + 5*k + 4284260 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in eleven quarters of a meter?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 1908 - 636 - 639 - 633. Let b(v) be the third derivative of v**4\/12 + 5*v**2. What is b(i(k))?\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1787387418 to the nearest integer?\nAnswer: 42278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50795885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**4\/3 + 13489160*a**3\/3 + 26978308*a**2\/3 + 4496384*a.\nAnswer: 4*a*(a + 1)**2*(a + 3372288)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (1 - 8) + 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 225031 - -22541?\nAnswer: 252012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 50521435 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13\/7 or 43758?\nAnswer: 43758","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -278*p**2 - 3*p - 1. Let j(h) = -2*h**2. Determine l(j(r)).\nAnswer: -1112*r**4 + 6*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 549851969 and 194?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 56, 4, -8 in decreasing order.\nAnswer: 56, 4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278129 is divided by 119.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191094371 is divided by 171?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -69*w + 34*w + 34*w + w**2 + 1. Let j(h) = 5*h**2 - 5*h + 3. What is 3*f(i) - j(i)?\nAnswer: -2*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -70572457.89999592 - -70572385.9. Let i = 55 - -17. Let h = b + i. What is h rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 551347 and 148603.479.\nAnswer: 699950.479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/2)\/((-5)\/40). Suppose 0 = 7*t - 11 + c. Let v(b) = -26*b**3 - 2*b**2 + b. Determine v(t).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -6.5. Is r <= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -753.71 + 744. Round s to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1886 = 11*n + 38. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1000 and 35510300.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 2*i**2 - 2*i + 1. Let h be w(1). Suppose -3*q - h + 8 = 0. Suppose -u + 14 = 5*s, 0 = -4*s - u + q + 9. Solve -8*k - 5 = -s*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seventeen quarters of a meter?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 3:20 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*u + 658*u = -1006*u - 80820 for u.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*m = 1357 - 1665 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -u + 1 + 0 + 4 + (0 - 2 + 4)*(-74*u + u + 9*u) as w + o*u and give o.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44644850 and 23536?\nAnswer: 357158800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 37*w**2 - 3*w - 11. Suppose 0 = p - 4*p + 15. Is s(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 16 = -4*u. Let t = u + 9. Suppose t*z + 2*z - h - 12 = 0, 0 = 4*z + 2*h. Solve 3*f + 2*v + z = 4*f, 5*f - 5*v = 5 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*f + 2*f + 4*f)*(30 + 114 - 33) as j*f + g and give j.\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hgi when three letters picked without replacement from pigtpph?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**3 + 26*p**2 - 8*p - 21. Let h be y(12). Suppose 2007 - h = 34*w. Calculate the remainder when 136 is divided by w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 1021249979?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -70 - -31. Let s = y + 55. Solve -s = 3*a + a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -326*x + 324*x - 2*u - 28, 17*x - 140 = 4*u for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.03 - -0.07. Let b(n) = 8*n - 2. Let s be b(1). Put s, 2, q in increasing order.\nAnswer: q, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-2) - (4 + (-4)\/(-1)). Let k(q) = 2*q**3 + 4*q**2 + q + 3. What is k(s)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(3*sqrt(24)\/sqrt(2))*5.\nAnswer: 5*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {i: 2, x: 11, a: 4, d: 2}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 + (-49 - -6) - 96?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10059215.\nAnswer: 5, 2011843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 115*y**5 - 95*y**5 + 24*y**2 + 31*y**2 wrt y?\nAnswer: 1200*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -27*u**2 - u - 3 - 2 + 37*u**2 + 2*u**3 + 3*u**3 - 4*u**3. Calculate a(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 6:20 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*y**4 + 99*y**4 + 61*y**4 + (5*y + 2*y**2 - 5*y)*(-4*y**2 + 5*y**2 + 0*y**2) + (0 - 1 - 1)*(0*y**4 + 3*y**4 + 0*y**4))*(5 + 0 - 3).\nAnswer: 280*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 19*z - 16*z - 2680, z + 544 = k. List the prime factors of k.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -357729*l*w + 436181*l - 2*w - 2 wrt w?\nAnswer: -357729*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40758?\nAnswer: 2, 3, 6793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3296897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q + 2. Let n(l) = -l + 1. Let z(c) = 8*n(c) - 3*y(c). Let x(g) = 3*g + 4. Let m(i) = -3*x(i) + 5*z(i). Suppose 0 = -2*v + 2 - 6. What is m(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 550 divided by 2?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 491 - 494. Put -29, -5, o in increasing order.\nAnswer: -29, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0526 - 11.7124.\nAnswer: -11.765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 5058?\nAnswer: 5058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -21509.3526 rounded to the nearest 1000?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -1. Suppose z*g = -g + 15. What is the remainder when ((-585)\/27)\/((-35)\/21) is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 6451405?\nAnswer: 6451401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) + (sqrt(209) - (sqrt(209) - -1*sqrt(209))) + sqrt(209))\/sqrt(11) + 5 + sqrt(304))**2.\nAnswer: 50*sqrt(19) + 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2636391, -10545537, -23727425, -42182043, -65909379?\nAnswer: -94909421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1804935 rounded to one dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 - 27. Let c be v + 1\/1 + 21. Calculate the greatest common divisor of 54 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -7*i**2 - 38*i + 29. Let s(m) = 4*m**2 + 19*m - 14. Let b(g) = 3*r(g) + 5*s(g). Let n be b(-20). Let v(j) = -2*j**3 - 4*j**2 + 5. Is v(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one quarters of a meter in centimeters?\nAnswer: 2025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 - -28. Calculate the smallest common multiple of b and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64\/(-20) - (-2)\/10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -6*w**2 - 3*w - 1. Let o be b(3). Suppose 8*r = 3*r - 115. Let j = r - o. List the prime factors of j.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 211 - 205. Let k(w) be the second derivative of 0*w**4 - w + 2\/3*w**3 + w**2 - 1\/5*w**5 - 1\/15*w**s + 0. Factor k(u).\nAnswer: -2*(u - 1)*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.070892 - -4?\nAnswer: 3.929108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(1\/4))**(2\/101)\/(w*((w*(w*w**(2\/9))\/w*w)\/w)\/w*w*w)**12)\/((w*w*(w\/(w*w**0))\/w*w)**(-44)*(w\/(w\/(w\/w**(-2))))**26) assuming w is positive.\nAnswer: w**(-17363\/606)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 * -636991.\nAnswer: 12739.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -2557 less than or equal to -2554?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1615 and 0.03457?\nAnswer: -0.005583055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -10 - (-1 + 0 + 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 3494557 and -5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42959767 is divided by 115?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63 + 2*p**4 - 63)*(2 + 31*p - 36*p - 4).\nAnswer: -10*p**5 - 4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - t = -20, -16*d + 6*t - 4 = -11*d. Let o be 8 - (8 + 2 - d). Find j, given that -j + 3\/2 + 1\/6*j**o = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -134 + 335. Let b = g - 121. Is b a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = 3*a - 4*h, 5*a + 5*h + 14131 = 14176 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (22\/33 - (-97)\/3) + 2.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10723 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of g**4\/78 - 28*g**3\/39 + 196*g**2\/13 - 11*g + 61. Let d(m) be the first derivative of v(m). Factor d(b).\nAnswer: 2*(b - 14)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*p + 0 + 1 - 14*p)*(-3*p + p**2 + 2*p + 0*p).\nAnswer: -27*p**3 + 28*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*g*k**2 + 8624*g*k + 4*g + k**2 + 3*k + 15682 wrt g?\nAnswer: -2*k**2 + 8624*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/2 + (-2)\/4. Let r = -11.16 + 11. Let i = -1.16 - r. Which is the nearest to p? (a) -0.4 (b) -0.2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212.266467ns to weeks.\nAnswer: 0.0000000000003509696875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 101661 to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/2*((-26)\/364)\/(18\/7)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -5*a**3 + 6*a**2 + 2*a + 373. Let t(y) = 7*y**3 - 8*y**2 - 3*y - 379. Calculate -4*o(q) - 3*t(q).\nAnswer: -q**3 + q - 355","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**(1\/2)*h)**49*(h*h*h\/h**(-12)*h)\/h**(3\/11) assuming h is positive.\nAnswer: h**(4119\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 719030 is divided by 239607?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 4830416?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1028*i - 1055*i + 174825 = 0. Is i a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1037.63 - 1044. Let w = c - -4.37. Let g = 12 + -17. What is the third smallest value in g, 0.2, w?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1181 + -95.2819. What is l rounded to the nearest integer?\nAnswer: -95","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4415269761?\nAnswer: 3, 7, 19, 3688613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1064663797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2820850 and 175?\nAnswer: 19745950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -24*s**2 - 12*s + 4. Let w be a(-4). Let y = w - -541. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q + 2. Let w be r(5). Let o(x) = x**2 + 6*x - 16. Let j be o(w). Let c(k) = -32*k**3 - 22*k**3 + 6 + 7*k**2 + 55*k**3 + 8*k + j. Determine c(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n = -6*n + 84. Suppose -n*v = 2*b - 38 + 12, v + b - 9 = 0. Put 2, 13, -5, v in descending order.\nAnswer: 13, v, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + -7. Let s be 4 - b\/(2 + 2). Solve -10 = 3*a + s*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182585 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8 (b) 88 (c) -0.5 (d) 130206\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t**2 - 3*t + 12. Let u be n(-3). Find the common denominator of -8\/113 and u\/4*48\/45.\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41 - 40 + 3*s**2 + 4*s + s - 29 + (6*s - 4*s - 4*s)*(13*s - 12*s + 36*s) to r*s**2 + b*s + c and give r.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -11*w**2 - 6*w - 1. Let o(r) = 8*r**2 + 7*r. Give 3*o(l) + 2*z(l).\nAnswer: 2*l**2 + 9*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 50*o - 52*o - 992, 4*i + 2*o = 3928. What is the highest common divisor of i and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 940 + 949 = 0. Which is the closest to -0.52? (a) 0.2 (b) 0.4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-510)\/357)\/((-30)\/(-756)))\/(-21). Factor 8\/7*z + 26\/7*z**3 + y*z**4 + 24\/7*z**2 + 0 + 2\/7*z**5.\nAnswer: 2*z*(z + 1)**2*(z + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 12*r + 6*r = 26, 2*r - 4 = -5*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/15 (b) 2 (c) 11\/6 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/14850 and -91\/20?\nAnswer: 29700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (10 + (3 - (11 + 8)) - -12) + -21\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -313153.2 to the nearest 100.\nAnswer: -313200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4 + 135*g**3 + 5781*g**2 + 64061*g - 622938.\nAnswer: (g - 6)*(g + 47)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6375717, 6375704, 6375683, 6375654, 6375617, 6375572?\nAnswer: 6375519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -7322 and -2868 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3 = -5. Let x(k) = 2*k**2 - k. Let i be x(n). What is the least common multiple of 0\/(-2) - (-18)\/i and 7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3574 less than 3565?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-208)\/273*6)\/(((-44)\/(-33))\/(28\/(-6)))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - 1653*c. Let z(n) = -414*n. Calculate 2*o(x) - 9*z(x).\nAnswer: -2*x**2 + 420*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h**2 - 4*h - 18. Let b be m(-3). Suppose o - b = -87. Let f = 152 + o. Is f a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 6*l**2 + l - 16. Let r be b(-5). Suppose 5*j - 185 = 5*c, 2*c + 25 = j + r*c. Factor -8*z**4 + 68*z**2 + j*z**3 - 11*z**3 + 8*z - 30*z**2.\nAnswer: -2*z*(z - 4)*(z + 1)*(4*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 7. Let f(h) = h**3 - h**2 + h. Let u be f(z). Let p = 1 - u. Which is the nearest to -1\/2? (a) -4\/5 (b) p (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.5 - 0. Let d = -0.1 - f. Let v = -0.57 + 0.07. Sort v, d, 2.\nAnswer: v, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 607, -2, -4, 0.3.\nAnswer: -4, -2, 0.3, 607","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -0.3, -0.07, -1\/3, 4, -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21.3494 + -0.0494. Let b = -21 + c. Let u = -173\/4 - -42. What is the fourth biggest value in u, 0.1, -2\/5, b?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 2\/9, 0.2, -827.4 in decreasing order.\nAnswer: 2\/9, 0.2, -2\/13, -827.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.55 + -0.0846.\nAnswer: -0.6346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109290?\nAnswer: 2, 3, 5, 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 242 and 42988?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*j - 11, -j - 2*j + 38 = 5*o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**2 + w**2 + 0*w**2 + (89 - 41 - 39 + 2*w)*(0 + 0 - w + (-2 + 2 - 2*w)*(5 - 2 - 1) + 7*w + 16*w - 12 - 31*w).\nAnswer: -27*w**2 - 141*w - 108","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 12 = -4*s. Let w be (6\/(-4))\/(s\/(-18)). Solve -t - w = -r, 0*r + 6 = -r - 2*t for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/150 and -52\/5.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**3\/5 - 98*b**2\/5 - 136*b - 984\/5 = 0 for b.\nAnswer: -41, -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -2*b**4\/19 - 58220*b**3\/19 - 3139992*b**2\/19 - 56496528*b\/19 - 338909184\/19 = 0.\nAnswer: -29056, -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23 or -30?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13.507 - -13.107. Let o = 0.6 - -0.4. Let p = 1 - o. Which is the third smallest value? (a) 33 (b) p (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 3396 = -3*s + 4*m, -5657 = -5*s - 2*m. Suppose 5*n + 383 = t, -7*t - 3*n = -4*t - s. Is 7 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2434 (base 13) to base 2\nAnswer: 1001111111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r - 34. Let y be z(-17). Solve y = -3*j - 6 + 18 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-11))\/(-10) - ((-7407)\/1188 - -6)?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6956, -11451, -13486, -13061, -10176, -4831?\n\"Answer: 1230*s**2 - 8185*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-3\/5)\/o)**(20\/9)*o*o\/(o*o**(-18)\/o*o*o)*o*o*o*o**12)**(-33\/2) assuming o is positive.\nAnswer: o**(-2915\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 3 = 0, 0 = k + 9*s - 13*s + 17 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5*j - 126 = 0, -3*l + 4*l - 4*j - 37 = 0. Is 2 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*m - 2799526 = -2811440 for m.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*f + 3*f + 0*f + (-3 - 2*f + 3)*(2 + 3 + 1).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9.326? (a) 2\/9 (b) 0.2 (c) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 66*b**2 - 1459*b - 53102. What is t(-76)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 + -14. Suppose o + 3*k - 1 = 2*k, n = o - 5*k. Let -o*a**2 + 5*a + 2*a - 5*a = 0. What is a?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 180400, -4, 2 in increasing order.\nAnswer: -4, 2, 180400","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/4 - -2 - 3876\/2272. Let g = n - 12\/71. Let m = -775 + 72903\/94. What is the common denominator of g and m?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 114874920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3672720 is divided by 108019.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - 16) + 1\/((-2)\/(-10)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32 + -30. Let h(d) = 0*d**2 - u*d**2 - d**2 - 3*d**2. Let n(i) = -i. Give h(n(l)).\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-14)*w*(w\/((w*w**(17\/2)*w)\/w*w))\/w)\/((w\/(w*w**(2\/21)*w))\/(w\/(w*w\/((w**0*w*w)\/w))*w)) assuming w is positive.\nAnswer: w**(-857\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*u = -3, 0 = -6*d + d + 2*u + 15. Is d even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -i**5\/2 + 439*i**4\/2 - 31037*i**3 + 1796967*i**2 - 72886149*i\/2 - 76542597\/2 = 0.\nAnswer: -1, 69, 233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 2:56 PM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-1 - 3) + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s - 5. Let d be j(-5). Suppose d = 3*g - 0*g - 6. Suppose 4*y - 2*y - 2*x = 999996, g*x = 4*y - 1999996. Round y to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 338*h - 41*h - 26*h + 94*h.\nAnswer: 365*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -59*m**3 - 17*m**2 - 6*m - 6. Let d(x) = -58*x**3 - 16*x**2 - 5*x - 5. What is -6*d(q) + 5*s(q)?\nAnswer: 53*q**3 + 11*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 401518783?\nAnswer: 37, 89, 121931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 518628998?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3 - 157413*n**2 - 157416*n.\nAnswer: 3*n*(n - 52472)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 22891 + -726b?\nAnswer: 17622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 48939 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1286503853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 8:26 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(117)\/(-2*sqrt(576)) + (3 + 0 + sqrt(832) - (sqrt(832) - ((2*sqrt(832))**2 + 0))).\nAnswer: -sqrt(13)\/16 + 3334","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -367804 minus 419.12?\nAnswer: -368223.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, i: 6, k: 1, f: 1, y: 5}. What is prob of picking 1 y, 1 k, and 1 h?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 45*a**2 + 145*a - 2542. Give w(43).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224*h - 158247 = -152871 for h.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -157369 + 157369. Let g = -4 - -6. Put g, c, 2\/31 in decreasing order.\nAnswer: g, 2\/31, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -8 + 2 - -4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -95, -130, -195, -290, -415, -570, -755?\n\"Answer: -15*i**2 + 10*i - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 391 is divided by 54?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1032 - 12110501?\nAnswer: -12105425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-945)\/(-3))\/(-35)*14\/6\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -329 + 313. Suppose -5*r - 91 = m, 0 = -4*m - 6 + 2. Let s = v - r. Solve -4*l - 8 = -4*g, -5*l + 6 = s*g + g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -281, -302, -309, -296, -257, -186?\n\"Answer: z**3 + z**2 - 31*z - 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5792 + -904. Suppose -30*h + t = -4*h. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 532 - 540.98. Let n = -238 + 229. Let p = g - n. Is p at least as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4961, 96, -2.5?\nAnswer: 96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*x**3 - 2)*(0 + 0 + x) - 2*x**4 + 4*x**4 + 0*x**4 + 4*x**3 - 4*x**3 + 2*x**4 + 4*x + 15794*x**4 - x**3 - 4*x - 11253*x**4.\nAnswer: 4547*x**4 - x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -0.2, -1\/19, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5903068 by -59.\nAnswer: 100052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - 11*v - 5. Let g be y(-10). Let c = g + -3. Let i(t) = -10 + 3 - 6*t - 2*t**c + 0*t**3 - t**3 - 5*t**2. What is i(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*o - 18*o = -3*u + 3382, -2*u + 3388 = 5*o. Round o to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6878 - 0.03529\nAnswer: 6877.96471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 254.1 + -254. Sort -2, q, -4, 1\/5 in decreasing order.\nAnswer: 1\/5, q, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 6 - 4 - 7*o**3.\nAnswer: -7*o**3 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17235, -17108, -16981?\nAnswer: -16854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 4*b - 21. What is d(0)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -356 (base 12) to base 2\nAnswer: -111110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -732100 - -1\nAnswer: -732099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 220364 > 8153432\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4791 is divided by 1195.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -2*k - 6*y + 6, 0 = -5*y - 5 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4.3 + 1.954\nAnswer: -2.346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 3\/8 (c) 107 (d) 5\/107 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/4)\/((-2)\/4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*p - 1731 + 1731 + 3*p - 3*p + 2*p + (0 + 0 - 2*p)*(4 - 2 + 0))*(-1 - 5*p**3 + 1) + p**4 + 0*p**4 + 2*p**4.\nAnswer: -152*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36368144 is divided by 58?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20915 = 3425*c - 2980*c for c.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-11)*i)**(2\/61))**39 assuming i is positive.\nAnswer: i**(-780\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 351, 426, 487, 528, 543?\n\"Answer: -z**3 - z**2 + 85*z + 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o**5\/7 - 9150*o**4\/7 + 761442*o**3\/7 + 19340742*o**2\/7 - 40929240*o\/7 + 2976600 = 0.\nAnswer: -22, 1, 110, 1435","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 + 41 - 27 - r.\nAnswer: -r + 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36 - -39. Find the second derivative of 5*h**g + 6*h**2 + 72*h - 8*h + 68*h wrt h.\nAnswer: 30*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from dwkdldwkkklwkkrlr?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.6 + -0.4. Let d = 13.223 + -4.223. What is the nearest to -1 in d, w, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 5*f + 15 + 4 = 0, -2*o - 14 = -3*f for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 30205 + -7074?\nAnswer: 21111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -851 and 7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 2, 0.5, -1039882?\nAnswer: -1039882","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + n**2 + 14*n + 1. Determine j(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-4)*(-1)\/3.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q**5 + 448*q**4 + 1586*q**3 + 1712*q**2 + 568*q = 0. Calculate q.\nAnswer: -71, -2, -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 88285860 a multiple of 2610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.5 - -105. Let q = 106.6507 + -0.6507. Let c = q - i. What is the second biggest value in -2\/5, 5, c?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 15*t**2 + 2*t - 22. Calculate the smallest common multiple of u(15) and 22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 21 - 2570?\nAnswer: -2547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1 + 2)\/((-39)\/(-26)) and 23\/132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32524740?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*m - 4*m + 5*q - 2, q = -2. Suppose m*c - 3*a - 48 = 0, 2*a = -4*c + 16 + 66. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hd when two letters picked without replacement from sphhdmhh.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from huqiqhihiuqhhiqu. What is prob of picking 1 q and 2 i?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iittttt. Give prob of picking 1 t and 1 i.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a + 24. Determine h(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 11*y. Let z(n) = -77*n. Determine 22*r(u) + 3*z(u).\nAnswer: 11*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360)\/(sqrt(8)*-1) + sqrt(45) - (-4*sqrt(405))**2) + 3 - ((-1*sqrt(450) + sqrt(450))*2)\/(sqrt(1000)*2).\nAnswer: -6477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 594 is divided by 120?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + (9\/3)\/1. Suppose -3*r + 1 = -y*r. Is 3 <= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16 + 27 + 5842\/(-69). Let v be (45 + -2)*-1*1. Is y <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {q: 1, o: 7, e: 3, z: 5}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 not equal to -0.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pfpiiiipttprfpiipfif. What is prob of picking 1 f, 2 i, and 1 r?\nAnswer: 28\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 2335 to the nearest 100.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i - 3*y - 8, 0 = -901*i + 895*i - 4*y - 40 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 5*z = -z + 26, 3*t + 5*z = -16 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 19. Suppose -6*y + m*y - 10 = 0. Put -4, 4, y in decreasing order.\nAnswer: y, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5131*a*d**2*l - 3*a*d**2 + 20*a*d*l + 2*a*l + l + 9 wrt d.\nAnswer: 10262*a*l - 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus 51986.72318?\nAnswer: -51985.72318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2671118 and 25402?\nAnswer: 1954","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2752*y - 10994. Let p be w(-4). Solve -428 = -p*m - 358 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 4. Let x(w) = 5*w**3 - 9*w**3 + 9 - 21 - 4*w**2 - 11*w**3. Let k(n) = -14*n**3 - 3*n**2 - 12. Let j(i) = d*k(i) - 3*x(i). Differentiate j(z) wrt z.\nAnswer: -33*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2857.\nAnswer: 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -144 + 143. What are the prime factors of 0 - v - (2 - (2 - -321))?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.87 - -507655210.\nAnswer: 507655209.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/14 and 3 + (2\/(-20))\/((-4)\/265)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115104909?\nAnswer: 3, 17, 2256959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 624365.7 tonnes?\nAnswer: 624365700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 0. Let d = -3 - -7. Let i = d + -6. Put -5, q, i in increasing order.\nAnswer: -5, i, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 + (32 - -13) + (15 - -3 - -2)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(3\/5)\/(v**(2\/11)\/v))\/(v**(-3)\/v*v*v\/(v*v**(-2)*v)*v) assuming v is positive.\nAnswer: v**(133\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*0*2\/(-10). Factor a*j + 0*j**2 + 2\/5*j**4 + 0 - 2\/5*j**3.\nAnswer: 2*j**3*(j - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18906187*l**3*s*v + 58*l**3*v**2 + s*v**2 - 69721*v**2 wrt s.\nAnswer: 18906187*l**3*v + v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 2*o + 6 = -2*x, 0 = -o - 5 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 2*b - 5 + 26, 29 = 2*b - 5*y. Solve b*p + 0 = -3*a + 1, -5*a - 2*p + 3 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(54\/8))\/((-2)\/(-6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*x - x - 3*x)*(155 + 356*x - 151 - 290*x) to the form q + u*x + v*x**2 and give v.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-6) + 38\/(-78). Let k be (-100)\/(-6) - ((-4)\/3)\/(-2). Let o = k + -18. Which is the nearest to o? (a) -2\/25 (b) p (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 93764404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 divided by 27?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sbhbcbaasvba. Give prob of picking 1 a and 1 v.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*a**5 + 40*a**4 - 49*a**3 - 142*a**2 - 32*a + 32 = 0.\nAnswer: -4, -1, 4\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27373\/6 + 4550. Is a less than -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 142425 by -1899.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 499*z + 7. List the prime factors of k(1).\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.9 + 7. Let i be (-4)\/(-7) + ((-96)\/42)\/4. What is the third biggest value in i, j, 9?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 604484 divided by 18.\nAnswer: 302242\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/20 - (-10)\/(-25). Find the second derivative of 7*i - 4*i + r*i + 0*i**4 - 3*i**4 wrt i.\nAnswer: -36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 970 - 4?\nAnswer: 966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cqeeqeqce. Give prob of picking 2 c, 1 q, and 1 e.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (85*p + 80*p - 168*p + 82)*(3*p - p + 0*p) to z*p + c*p**2 + f and give z.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-8) - (-13)\/(-4). Let b be (r\/3)\/(5\/15). What is the units digit of ((-3)\/1 - b)*-2 + 151?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k - 27*i + 54, 7*i - 15*i - 6 = -4*i - 7*i for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 55752*v - 552*v**2 - 55752*v in the form y + h*v**2 + c*v and give h.\nAnswer: -552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -4*c**2 - 4*c + 8. Let f = 11925 + -11922. Let p(m) = -2*m**2 - 2*m + 4. Calculate f*z(x) - 5*p(x).\nAnswer: -2*x**2 - 2*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 29228177 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffsf when four letters picked without replacement from ssjsfssjfjssfsssjs.\nAnswer: 11\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8322 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 5 = 9. What is the least common multiple of o and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 + -7. Let j = -69152 - -69153. What is the closest to 0.1 in j, b, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 5*d = 30, 0 = -7*d + 8*d + 4. What is the second derivative of -i + 7*i - i + 17*i + 11*i + 264*i**j + 3 wrt i?\nAnswer: 528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w. Let p(s) = -s**2. Calculate r(p(o)).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 115963 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 204 and 1356?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 432021.\nAnswer: 3, 17, 43, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 5 + 0 - 2 + 44*h. Suppose 2*p = -5*c + 17, 2*p = -c + 5*p + 17. Is y(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.539 and -3434540552.\nAnswer: -3434540551.461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/72898 and 82\/7665.\nAnswer: 79823310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 73 + -71. Solve 2*t + g*q = 7*q + 11, -q = 4*t - 11 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4131.2 rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 62.36 + -67. Let m = -8.67 - k. Let b = -0.03 - m. Sort b, -4, 1 in descending order.\nAnswer: b, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1369?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 405 and (-14)\/(-42) + (-14168)\/(-21).\nAnswer: 2025","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 7*x - 59. Calculate p(0).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 35, 68, 101, 134, 167?\n\"Answer: 33*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1637110?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(3\/7))\/(t*t**(-18)\/t))\/(t*((((t**12*t*t)\/t)\/t)\/t)\/t*(t*t**(-10\/13))\/t) assuming t is positive.\nAnswer: t**(759\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*z = g - 70*z - 1798, 24 = 4*z. What is the lowest common multiple of 46 and g?\nAnswer: 41216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dqgqodggoggddgoqq. Give prob of picking 1 o and 1 d.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -25*a**2 + 24*a + 43. Determine j(-2).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 382 is divided by 144.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 264 (base 9) to base 5\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - (-4 - (-40)\/5). Let y(t) = -t**3 + 5*t**2 - 3*t - 2. Let m(h) = -2*h**3 + 14*h**2 - 8*h - 6. Give s*m(l) + 8*y(l).\nAnswer: -2*l**3 - 2*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 112 - -54544150?\nAnswer: 54544302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(((-4)\/(-2))\/1) - -28. Calculate the greatest common divisor of q and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and 206\/9865 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of a**3\/2 - 13*a**2\/2 + 20*a - 4. Determine n(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seventeen quarters of a microgram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 9 = -5*c, -2*a = a - 2*c - 15. Suppose -a*u + 16 + 5 = 0. Suppose -3*f = -u*f + 180. Does 27 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 398911498 to the nearest integer?\nAnswer: 736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of a**7\/1260 - a**6\/45 + 4*a**5\/15 - a**4\/8 + 5*a**2. Let w(b) be the second derivative of y(b). Factor w(v).\nAnswer: 2*(v - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 14 (b) -2 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -38*z + 15. Let o be k(-6). What is the greatest common divisor of 27 and o?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**2 - 364106*j + 5097092 = 0.\nAnswer: 14, 182039","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n**2 - 4*n**2 + 2*n**3 + 959*n - 4*n**2 - 959*n.\nAnswer: 2*n**3 - 8*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/1)\/3)\/(108\/(-243)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -24761.7 minus 0.5?\nAnswer: -24762.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t**3 - 2*t**2 - 1. Let y be h(3). Let q = y + -42. Let c(d) = d - 6. Let z be c(11). Solve 0*n + q = z*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -5. Let p = 2203 + -2207. What is the closest to -0.2 in -0.1, r, p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*z - 29*z - 21 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -4 + (4\/12)\/((-1)\/(-3675))?\nAnswer: 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - m - 2*m)*(m**4 - 2*m**4 + 2*m**4) + 2*m**2 - 2*m**2 - 2*m**5.\nAnswer: -3*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 102 - 90?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/5)\/m)\/(m*m\/(m\/m**(3\/5))*m*m))**(-1\/8) assuming m is positive.\nAnswer: m**(3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2 - 3912*c - 660548.\nAnswer: -4*(c + 217)*(c + 761)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 c when three letters picked without replacement from {c: 13, i: 5}.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -4*y + 22 + 8, -4*y - p + 18 = 0. Suppose -2*k = 2*w - y - 15, 0 = -2*w - k + 15. Solve -5*h + w*i = -3*h - 7, 4*i = 2*h - 6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + 1 + 0 - ((404 - 254) + -142).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 1 + 0*k**2 - 17*k - 13*k**2.\nAnswer: -13*k**2 - 17*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 - 4*l + 1. Calculate q(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/7)\/v)**(-20)*v**(-1\/5)\/v**7)\/((v\/(v**(-2)*v)*(v\/(v*v**0*v*v*v))\/v)\/(v**0\/v*v**(-4))) assuming v is positive.\nAnswer: v**(543\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30461, -3, -21, 4 in increasing order.\nAnswer: -30461, -21, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -356 - 26 + 1509*n - 1507*n as s + v*n and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22)\/(-6))\/(((-4)\/(-90))\/(33\/(594\/(-12)))).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 8*m - 59. Let u be n(8). Let w(i) = 2*i - 8. Let c(o) = o - 4. Let y(k) = -5*c(k) + 3*w(k). Let z be y(u). Is z >= 2\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + k**2 + 15*k. Calculate c(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 2549013?\nAnswer: -509802.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5*d - 4 = 0, 2*z + 5 = 4*d + 3. Suppose -m - y = -43 - 85, 382 = z*m + y. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23 + 4 + 32 - 6) + -40.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 124 + -121. Suppose g*v + 5*s - 9 = -10, -7 = -v + 2*s. Solve -3*x + x + v*t = -15, 0 = 2*x + 2*t for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -96550 - -96545. Let s = 0 - 0. Which is the second biggest value? (a) s (b) -101 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -48. Let v be 518\/(-12) + (102\/l)\/17. Is v smaller than -85\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2756, -4821, -6800, -8699, -10524, -12281?\nAnswer: -13976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27914062 and 2739.\nAnswer: 913","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -412 + -22152665?\nAnswer: -22153277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**2 + 12*m + 2. Let k be z(-6). Solve -k*c = c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 4*t**3 - 4*t**2 + 2*t. Let k be q(3). Suppose k = 8*l - 5*l. Suppose 22*z - l*z - 4*z**4 + 12*z**2 + 12*z = 0. What is z?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 265695723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + 3021. Let k be z(55). Let t(b) = 5*b + 6 + 5*b - 6*b - 3*b. Let u(h) = h + 6. Determine k*t(a) + 3*u(a).\nAnswer: -a - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 25842 = -0*o. Suppose 0*r + 2*r = o. Suppose r + 6279 = 6*u. Round u to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**5 - 2994*s**4 - 1088602*s**3 + 23897874*s**2 - 112911876*s = 0. What is s?\nAnswer: -759, 0, 7, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1\/4)\/(j\/(((j**(-1\/6)*j)\/j)\/j))*(j**(1\/6)*j*j)\/j*j**(2\/31)\/j assuming j is positive.\nAnswer: j**(-271\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a + -10?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*t - 46*t - 42*t.\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 4*a**2 - 2*a + 2. Calculate the remainder when 1111 is divided by k(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 7*o**2 - 5*o + 4. Let v be n(6). Let u(k) = k**2 - k - 3. Let q be u(4). Let t = -5 + q. Solve 0 = x + t*x + v for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 7*f**2 + 6*f - 5. Suppose -20 = -5*j + 5*b, -j + 9*b = 6*b. Calculate d(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 123*n**3 - n**2 + n. Let f be h(1). Suppose 3*c + 5*o = f + 115, 5*c - 2*o - 345 = 0. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -2\/5 (b) -2\/3 (c) 0.1546 (d) -7041\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3*q**3 - 2*q**2 + 3*q - 2. Let i(x) = -3*x**3 + x**2 - 2*x + 1. Let h(y) = 22*y + 64. Let b be h(-3). Calculate b*u(c) - 3*i(c).\nAnswer: 3*c**3 + c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + 4*b + 5. Let w be d(5). Let n(t) = 3*t**2 - 5*t**2 - t - 17 + 41 + t**2. Calculate the remainder when n(w) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = v + 2*b, 5*v + 27 = b + b. Let n = v + 9. Suppose -o = -n*o, 2*o = 2*j + 30. What is j rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by 1424\nAnswer: -3\/356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*n - 18. Suppose -n*p = -1518 + 460. What are the prime factors of p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eyieyiooeeireieeii. Give prob of picking 1 r and 1 y.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*z = 60*z + 24 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/12 + (-5040532)\/(-168). Suppose 3*d - i = x, 0 = 13*d - 11*d + x - 19997. What is d rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - 4. Let x be o - 2*2\/(-4). Let s = 25 + x. Does 13 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4*(-5 - ((-72)\/(-6))\/(-2)). Let b(y) = 2*y**2 - y - 3. Let a be b(2). Put i, -1, a, -5 in decreasing order.\nAnswer: a, -1, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 3*v - 2. Let i(k) = 30*k**2 + 53*k. Let x(b) = -2*g(b) + i(b). Is x(-4) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2412 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -772 - -53264\/69. Let w be 214\/(-276) + 5 + -4. Let h = w + d. What is the closest to -3 in 1, 0.3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 4 = 5*b. Let y = -119 + 118.8. What is the nearest to 0 in b, 4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -3 + 0 - (-11 + -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 86549090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 33 - 111. Calculate the common denominator of c\/(-9)*(-45)\/(-48) and 113\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and -5.7854469?\nAnswer: 5.8854469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 15 + 5. Let u = 1 - n. Put -0.4, -5, u in descending order.\nAnswer: -0.4, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yvvgyygvyyyvvyy. What is prob of sequence vy?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2 + 14*m - 456. Determine b(-25).\nAnswer: 444","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001000011110000 + 11?\nAnswer: -100001000011101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 10 = -9*a - 5*j, -5*a = -3*j - 6. Sort 3, a, -6, -8 in descending order.\nAnswer: 3, a, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 5*m + 389, -1415*m = -1414*m - 2*g + 89. Which is the biggest value? (a) -0.2 (b) -0.1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -107*r - 108*r + 212*r + 5. Let o(a) = -4*a - 5 + 5*a + 3. What is 5*o(b) + 2*x(b)?\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/12 (b) 0.2 (c) -4 (d) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 74 - -117. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 99\/((-39)\/504*9). Which is bigger: -142 or h?\nAnswer: -142","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -553.9 - -554. What is the third biggest value in 3, s, -248?\nAnswer: -248","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34166 (base 8) to base 12.\nAnswer: 8446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 20 (b) -1\/3 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 5*m + 2 = 0, 4 = l + m + 3*m. Let v = -21 + l. Let y = v - -7. Round y to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -3*l + 20 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55168?\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of z**5\/30 - 20*z**2. Let v(h) = 8*h. Calculate v(q(i)).\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (1*(-4 + (sqrt(1584) - (sqrt(1584) + -4)))*-6)**2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -444 (base 15) to base 3.\nAnswer: -1022201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 36 - 41, 5*x + 20 = 3*n. Sort 0, 22, -14, x in ascending order.\nAnswer: -14, x, 0, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/q**(-1))**(10\/9)*(q**(1\/3)\/q)**12 assuming q is positive.\nAnswer: q**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 146616 a multiple of 434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2360 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12693 plus -3?\nAnswer: 12690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 303367169011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -41*p + 38*p - 20, -p - 3*d = 12. Is -19\/282 smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k + 9 - 9)*(k**2 + 5*k**2 - 5*k**2).\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215 = 3*c + 263*d, 4*d - 12 = 2*c - 8 + 32 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 23 + 3 + 6 + 5*b.\nAnswer: 5*b - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 9:04 AM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -14. What is the remainder when 7 is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*b - 7*b + 2*b)*(2*b + b - b)*(1 - 2 + 2) to g*b**2 + k*b + p and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -179\/3480 and -41\/50.\nAnswer: 17400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -117*2\/(-18) - -3400090 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-5 - (6 + 7) - (-14 - -5)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 9*b - 364. Find the second derivative of 91*r**2 + 19*r**5 - b*r**2 - 36*r wrt r.\nAnswer: 380*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of 7*c**3\/3 - 138. Let y(b) be the first derivative of 0*b - 4 - 1\/3*b**3 + 0*b**2. Determine y(h(p)).\nAnswer: -49*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 31*s - 483. Give g(11).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -497*d + 76 + 494*d - 1. Let l be p(25). Let n(z) = z**2 + 2. What is n(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + 4*g + g)*(-7*g**2 + 0*g**2 + 2*g**2 + (-2 + 2 + g)*(2*g - g + 0*g))*(-3*g - 3 + 3).\nAnswer: 12*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -5590, 4, -5 in decreasing order.\nAnswer: 4, -3, -4, -5, -5590","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 5*q + 6. Let s(d) = 9*d - 16*d - 3 - 2. Let r(w) = -2*s(w) - 3*u(w). Suppose -2*h - 8 = 4. Give r(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.42, 0.17704, -4\/39 in descending order.\nAnswer: 0.17704, -4\/39, -0.42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 13*w - 15*w + 124, 5*z + 155 = 2*w. Suppose 0 = -26*o + 24*o. Sort o, -1, z, -2 in descending order.\nAnswer: o, -1, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -31*a - 829. Let b be s(-25). What is the closest to -0.2 in -1\/6, b, -0.5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6690 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/73682840 and 149\/60.\nAnswer: 221048520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-2\/15))\/((u\/(u*u**(-2\/3)\/u*u))\/u*u*u)*u**(-1\/8)*(u*u\/(u**(3\/5)\/u)*u)\/u assuming u is positive.\nAnswer: u**(59\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 + 30. Let w(o) = o**3 - o**2 + 19. Let p be w(x). Calculate the highest common divisor of p and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -85*l**8\/56 - l**4\/6 - 103*l**2\/2 - 2*l + 12. Find the third derivative of h(q) wrt q.\nAnswer: -10200*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggqq when four letters picked without replacement from qggggqgqgggg?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 1018\nAnswer: 407.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 8 = 52. Let g = d + 20. What is the smallest common multiple of 3 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -w**3\/3 + 45*w**2\/2 + 96*w - 4. Find the first derivative of a(p) wrt p.\nAnswer: -2*p + 45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + b - b**2 - 5 + 7 + 10*b**3 - 3*b**4 - 3*b**3 as o*b**4 + t + c*b**3 + y*b**2 + x*b and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = -3*n. Let j(t) be the second derivative of -1\/12*t**4 - 4*t + 0 + 1\/6*t**3 + 7\/2*t**2. Give j(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 9*z**2 + 5*z - 4. Let u = -1027 + 1030. Let b(w) be the first derivative of 14\/3*w**u - 17 - 6*w + 4*w**2. Give -5*b(m) + 8*x(m).\nAnswer: 2*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 4522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4946, -5782, -6616, -7448, -8278?\n\"Answer: j**2 - 839*j - 4108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 353895245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 4*x + 3, 0*x + 3*x - 21 = -3*j. Suppose 9 = j*l - 141. Does 3 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of 5*l**3\/2 + 15*l - 1. Let y(j) = -24 - 29 - 28 - 7*j**2 + 81. Calculate y(n(u)).\nAnswer: -1575*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9887371 by 13.\nAnswer: -760567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 365314398.\nAnswer: 2, 3, 1619, 37607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0714 rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-50481)\/(-81) - 2\/9 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -5*t**2 - 36*t - 9. Give w(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -6*w - 3. Let j be -33 + 3 + 1 + 4. Is b(j) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 5*b - 8 = 0. What is the hundreds digit of ((-86)\/(-3))\/(b\/(-60))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 302862855?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -0*y - 2*d, -4 = -2*y + 4*d for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 0*t - 3*t)*(-t**2 + 6*t**2 - 2*t**2) + (6 + 1 - 3)*(2*t - 3*t**3 - 2*t) - 101*t**2 + 101*t**2 + 5*t**3.\nAnswer: -19*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -3 + 0 + sqrt(325) + -1*sqrt(325) + 0 + (sqrt(325) + sqrt(325) + 2)*1*4)**2.\nAnswer: 400*sqrt(13) + 20825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 213c379 - 6?\nAnswer: 213c373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -58*j**3 + 352*j**2.\nAnswer: -348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -719.9188 rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**3 + 5*h**3 - 2*h**3 + (-3*h - h + 5*h)*(2*h**2 + 2*h**2 - 3*h**2) + h**2 - h**2 - h**3 + (h - h + 2*h**3)*(-38 + 83 + 10).\nAnswer: 112*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b\/(b*b**(3\/8)))*b)\/b*b*b*b*b**(1\/3))\/(b**(-5\/2)*b**(2\/29)*b*b) assuming b is positive.\nAnswer: b**(4273\/696)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 15*p**2 + 15*p + 12. Let x be j(-14). Let f(z) = -5*z**3 + 2*z**2 - z. Does 10 divide f(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bj when two letters picked without replacement from {b: 9, t: 4, f: 1, l: 1, j: 2}.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*i = i + 8, -2*h = -2*i - 12. Suppose -h*g = -58 + 22. What is the lowest common multiple of 2 and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101001111010101110110 (base 2) to base 15\nAnswer: 1c1ea8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.3 + 6. Let r(z) = 3*z - z + 0 + 6 - z**2 + z. Let l be r(5). What is the third smallest value in 5\/3, l, u?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12c665 + 0?\nAnswer: -12c665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1318118779\/6604 - 199594. Which is smaller: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 850475600 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-6)*(-16)\/48?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22*-1.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -209582087 and 1.6.\nAnswer: -209582085.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-80242)\/159)\/(2\/(-15))?\nAnswer: 5, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, c: 6, t: 4, v: 3, r: 1, o: 4}. Give prob of picking 4 c.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by -1300.\nAnswer: 9\/650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(17*1177\/(-1819) + -10*(2 - 3))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37504*x**3 + 75252*x**3 - 37471*x**3.\nAnswer: 277*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190664.\nAnswer: 2, 23833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1192 and 298.\nAnswer: 1192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6171723?\nAnswer: 3, 685747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vavvjtjtvuvtvv. What is prob of sequence vavv?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/25? (a) -0.022 (b) 3 (c) 2\/13 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -59*a + 75*a - 5*a**2 - 2*a**2 to g + r*a + k*a**2 and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 3:36 AM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1035059?\nAnswer: 31, 173, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 541 (base 12) in base 7?\nAnswer: 2146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 72 = 96. Calculate the lowest common multiple of a and 21.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 3*r**3 + 51*r**2 + 2*r + 31. Let y be l(-17). Let n(i) = i**2 - i - 16. Calculate n(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 35146806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -3*o - 8, 3*o + 1860 = 4*s. What is the greatest common factor of s and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 2 + -6 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(3)*-3 - (2 + sqrt(9)\/sqrt(3)).\nAnswer: -2 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 2:26 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 8. Suppose 5*b + f - 9 = 0, 3*b + 2*f - 3 = d. Suppose 2*y = -5*n - 12, 2 = -4*y - b*n + 10. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of o**6\/60 + o**5\/5 - 32*o**3\/3 + 49*o**2. What is the first derivative of v(t) wrt t?\nAnswer: 6*t**2 + 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241084 is divided by 6407.\nAnswer: 4025","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b + b + b**2 + (b + 1 - 1)*(4*b - 5*b - b) + 8 + 3*b**2 - 8 + (0 - 3 + 1)*(-2*b**2 + 5*b**2 - 4*b**2) to the form r + x*b**2 + i*b and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003530807 to 6 decimal places.\nAnswer: -0.003531","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -11588\/7 equal to -1656?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -522 - 1141506?\nAnswer: -1142331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-270)\/75*2*35\/56.\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*u*z**3 + 2*u*z - 12*z**3 - 9*z wrt z.\nAnswer: -54*u*z - 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 2 (c) -305.69 (d) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, 0.05, 0.047, -7?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/v**(-8))\/(v\/(v*v\/(v\/v**(2\/7)))*v))\/((v\/v**(-3))\/(v\/v**(-1\/8))) assuming v is positive.\nAnswer: v**(359\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 1:19 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-23*p**2 + 48*p**2 - 22*p**2)*(-30 + 30 + p) + 7*p**3 - 14*p**2 + 14*p**2 to b*p**3 + h + y*p + k*p**2 and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*t + 4*t**2 - t**2 + 6097*t**4 - 6095*t**4 - 1 + 2*t**3 to f*t**3 + u*t**2 + p + h*t + w*t**4 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_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: In base 14, what is -4a26 + 330?\nAnswer: -46d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1688 and 17302.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266 is divided by 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 14314 and 1?\nAnswer: 14313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/166 and -17\/20?\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -12\/97 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -362.85 * 54.6.\nAnswer: -19811.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**5*a**(-7)*a*a\/a**5*a\/(a\/a**(-2\/3)*a))\/(((a**(4\/7)*a)\/(a*a\/a**(3\/2)))\/(a\/a**5*a**(-1\/4)*a)) assuming a is positive.\nAnswer: a**(-923\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 3, -4 in increasing order.\nAnswer: -5, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -158, -305, -448, -587?\nAnswer: -722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3*(sqrt(11) + -2) + -1*sqrt(1100) + -2)**2.\nAnswer: -1875 + 104*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 29*v**3 - 269841*v**2 - 14721025?\nAnswer: 87*v**2 - 539682*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i**(1\/7)\/i)\/i)\/i)\/i)**(-2\/175)\/(((i*i\/(i\/i**(3\/10))*i)\/i)\/i*i*i**(-12)*i*i) assuming i is positive.\nAnswer: i**(21423\/2450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 517083 divided by -517083.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppppvwvppwp. Give prob of picking 1 w and 2 v.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 160695?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1068261737 a multiple of 226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y = 12 + 20. Suppose -y*c - 4*c = -648. Is c a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -112, -225, -338, -451, -564?\n\"Answer: -113*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zdca when four letters picked without replacement from nzcazdanj?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 1175?\nAnswer: 9400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vqqvivfqqvvq. Give prob of sequence ifvv.\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 19 + 0 + -23 + -18 + 37?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - d = 23, 6*j - 5*d = 2*j - 1. Let m = -4 - j. Is m < -1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12 - 15363?\nAnswer: -15362.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of 1\/24*t**4 - 2*t**2 + 0*t**3 + 0 + 0*t. List the prime factors of g(10).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 536719 or 536720?\nAnswer: 536720","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 10098013 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41 - -7. Let c = -28 + j. Does 7 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - (-2)\/(1\/1). Let p(v) = v**3 - 6*v**2 + 2. Let g = 10 + -4. Let u be p(g). Solve -3*r - n = -u*a, -5*r + a - 7 = 5 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -w**4 - 10 + 13*w**4 + 3 wrt w.\nAnswer: 48*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 6, q - 1 = 4*x - 8. Suppose 4*p - 5*l - 167 = 0, -5*p + 210 = -0*p - q*l. What is the remainder when p is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 936\/161 or 508?\nAnswer: 508","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 18533 to the power of 1\/2, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -8*o + 2. Let n be z(-1). Let q(k) = 2*k - 12. List the prime factors of q(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 23*b**2 + 52*b**2 - 28*b**2 + 295*b.\nAnswer: b**2 + 295*b + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -102, -479, -1108, -1989?\nAnswer: -3122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6057\/225 + (-4)\/(-50).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 3717?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 r when four letters picked without replacement from aaaaaarrarqaawarrrrw.\nAnswer: 56\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 10:52 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 10:49 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 2)*(-3*p + 0*p + p)*(-28 - 10*p + 28).\nAnswer: 40*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 249862630 divided by -10?\nAnswer: -24986263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1068\/20 - 3\/(-5). Let q = c - 0. Suppose -5*s = -4*l + q, -3*l + 56 = -0*l + 4*s. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = q - 5*q + 1006, 0 = q + 2*t - 259. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77, 241, 501, 863, 1333, 1917?\nAnswer: 2621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*h**2 - h**2 - 5*h**2)*(-2*h + 6*h - 3*h) as d*h**2 + j*h + c*h**3 + x and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-50 + 168 + 350)*(-3*n**3 + 14847*n**2 - 14847*n**2) to the form m*n + z*n**2 + k*n**3 + h and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34236, -64243, -94250, -124257, -154264?\nAnswer: -184271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (9 - (-2 + 7))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 780677686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 52640 and 120.\nAnswer: 157920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 7*l**3 + 4*l**2 - 5. Let x(o) = -7*o**3 - 4*o**2 + 6. Let z be ((-24)\/(-9))\/((-8)\/(-18)) + 1 - 12. Calculate z*x(f) - 6*h(f).\nAnswer: -7*f**3 - 4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*k + 149*k = -87*k + 423821545. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**2*q**3 + f**2 + 5*f*q**2 + 378*f*q - 2*f + 11284*q**3 - q + 7 wrt q?\nAnswer: -12*f**2*q + 10*f + 67704*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 + 23 + (29 - 20).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -33, -37, -41, -45, -49?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(1 + (1 - 1)). Suppose i = -0*z + 5*z - 70. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 - 22. Let q be -3 - (-1*91 - y). Suppose -3*p = -92 - q. Calculate the remainder when p is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -396, 551, 4210, 11937, 25088, 45019, 73086?\n\"Answer: 226*w**3 - 635*w + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 57916.33 rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 66*z - 61*z, 4*w - 134 = -2*z. Calculate the remainder when 785 is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 642332147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -1612917*l - 1612912. What is y(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 221 divided by -13\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 16) in base 6?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4760\/799 + (-5 - 1). What is the closest to 4 in t, 0, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, g: 3, e: 1, c: 6, j: 5, s: 3}. What is prob of picking 1 c, 2 s, and 1 j?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (13 - 40)\/27*-2*3\/5. Suppose 2\/5*z**2 + p + 2\/5*z**3 - 2*z = 0. What is z?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 96851542 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*u**3*y**3 + 35*u**3 + 12*u*y**5 + 29*u*y**2 - 2*u*y - 25 wrt y?\nAnswer: -12*u**3*y + 240*u*y**3 + 58*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -52.1, 5, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*y - 13*y - 7*y - 7*y as r + m*y and give m.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 47*(-2)\/4*-2. Suppose o + 0*b + b - 50 = 0, -2*b + 153 = 3*o. Let n = o - f. Solve y + 10 = n*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*i + 5*i - 4*i**2)*(1 + 3 - 2) + (-3 + 3 - i**2)*(-1 + 1 + 5) as o + a*i + b*i**2 and give b.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 11:48 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-7\/2)\/v)\/v*v**0)\/(v*v*v*v**(-5)*v*v\/(v\/(v*v**(-6\/7))))*v**(2\/19)\/v*v*(v**(-1)*v)\/v*v**2*v*v\/(v**6\/v) assuming v is positive.\nAnswer: v**(-1739\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 145 and 1305?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 4*v**3 - 1412*v**2 + 37584*v = 0?\nAnswer: 0, 29, 324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*l*n**2*t + 4*l*n*t + 4*l*t**3 - 4*n**2*t - 11*t**3 wrt l?\nAnswer: 2*n**2*t + 4*n*t + 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-8) - 70\/(-56)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 k when three letters picked without replacement from {w: 2, c: 3, k: 15}.\nAnswer: 21\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 5*b**2 + 1. Calculate the remainder when j(-3) is divided by ((-16)\/6 + 4 + -1)\/((-14)\/(-1134)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 343.36683 and 0.4.\nAnswer: 343.76683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*(8 + -10)*9458\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28*((-4)\/(-10))\/(49\/(-35))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4260?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2\/5 - 215835*n + 1079190.\nAnswer: -3*(n - 5)*(n + 359730)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 8*f + 1. Suppose -10*o + 9*o = -2. Let v be o\/8 + (-58)\/8. Give u(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t**2 + 11*t + 45. Let d be o(8). Let c(b) be the first derivative of b + 1\/5*b**d - 2*b**2 - b**4 - 4 + 2*b**3. Factor c(m).\nAnswer: (m - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.15924448 times 5\nAnswer: -15.7962224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4477 is divided by 263.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 4:58 AM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1201 + 10012221201?\nAnswer: 10012220000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/85078 and -5\/8483492.\nAnswer: 59384444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*h + 6*h**3 + 15*h - 2*h**3 - 12*h + 2*h**2 + 12*h + (1 - 1 - 1)*(-5*h**3 + 5*h**3 - h**3).\nAnswer: 5*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 183162108 a multiple of 2402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 3*o - 2 - 7, -12 = -4*o + 2*a. Suppose -4*i + 3*m - 108 = -i, o*i = 2*m - 106. Is (17\/i)\/(1\/(-314)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 668*h**2 - 330*h**2 - 374*h**2 - 2770*h**3 + 2771*h**3.\nAnswer: h**3 - 36*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuggllsulpuugsssbg. What is prob of picking 1 p, 1 b, and 1 l?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 16, 2\/9, 5, 4, -7.3, 0.2, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28*817\/6622)\/((-1)\/(-22)*-4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of 8*x**5\/5 - x**4\/24 - 24*x**2. What are the prime factors of p(1)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**2\/4 - 4233*g\/4 + 1146805\/2 = 0. Calculate g.\nAnswer: 638, 3595","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24912*p - 25075*p - 5379 = 0 for p.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -356*t. Let c(z) = -2*z**2. What is c(i(d))?\nAnswer: -253472*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2447*f + 5. Let j be d(-3). Let r = j - 1598. Is 15 a factor of (r\/15 - 8) + 2\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2. Let g(c) = 3*c**2 - 7*c**2 - c**2 + 4*c**2. Let x(t) = -2*g(t) - 3*v(t). Let j(k) = 9*k**2. Give x(j(u)).\nAnswer: -81*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10bd99 - 2?\nAnswer: -10bd9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-2))\/3*16535\/(-16535).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zmwbo. Give prob of picking 1 o and 1 m.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 178854?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 24, 9, -0.5, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 3245145.2 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/2931 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**2 - 49611*o - 1341684 = 0.\nAnswer: -27, 16564","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/2)\/((-90)\/(-20))*102\/34.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -w**5\/20 - 5*w**4\/12 - 5*w**3\/6 - 3*w. Let f be v(-4). Does 6 divide f\/(-10) + (-62)\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 6*r + 2. Suppose 2*k - 2*x + 2 = 4, -2*k = -4*x. What is the remainder when 26 is divided by y(k)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 3*f. Suppose 2*i + 1 = 55. Let y = -25 + i. Solve 5*g - 5*p + 5 = f, 0 = -y*g - 3*g - 5*p + 5 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 42 in ascending order.\nAnswer: -1, 1, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 - t**2 - 3*t**2)*(-5*t + t + 2*t + 4 - 4 + 2*t + (1 - 1 + 2)*(-t + t + 2*t) - 3*t + t + 4*t - 6*t - 4*t + t).\nAnswer: 6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90867.\nAnswer: 3, 7, 4327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4\/267 + 10273\/9345. Let h = q + -7\/5. Which is smaller: h or 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 86 and 0.07383171789?\nAnswer: 85.92616828211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 u when three letters picked without replacement from {a: 8, u: 4, n: 3, v: 4}.\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -149 (base 16) to base 7\nAnswer: -650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2, 19, 46, 83?\n\"Answer: 5*a**2 + 2*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2060096 or -2060095?\nAnswer: -2060096","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2817552467 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + 3)\/(4 + -3). Let v = 6 - m. Solve 0*w = w + v for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 10. Suppose -w + 64 = -5*o - y*w, 3*o + 42 = -3*w. Let r(j) = -j**3 - 11*j**2 + 14*j + 27. What is the lowest common multiple of 11 and r(o)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bhrrrhrrrhhrbrhr. Give prob of picking 1 h and 1 r.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o\/((o*o\/((o*o\/(o\/(((o\/o**(1\/5))\/o)\/o)))\/o))\/o))*o**(1\/34))\/(o**16*o**(-3)) assuming o is positive.\nAnswer: o**(-2001\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20855 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = t - 4, -3*y - 4*t + 9 = 2*y. Let j(h) = 2*h**2 + 27*h - 3. Let m be j(-14). What is the highest common divisor of m and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -649752, -649734, -649704, -649662, -649608?\nAnswer: -649542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.72 - 432.72. Let l = t - -877. Which is smaller: l or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -5011\nAnswer: -2004.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20702, 20806, 20888, 20942, 20962, 20942?\nAnswer: 20876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -3, -8, 5 in decreasing order.\nAnswer: 5, -3, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, 7, -1\/4, -4, 5 in decreasing order.\nAnswer: 7, 5, -1\/8, -1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.1? (a) -2\/5 (b) -0.1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 332.1951 litres in millilitres?\nAnswer: 332195.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2518208421.99999944 + 2518208331. Let u = 91 + n. Round u to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65214?\nAnswer: 2, 3, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of t**6\/168 + t**5\/210 - 3*t**2. Suppose u(f) = 0. What is f?\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**3 + 2*v**3 - 3*v + 2*v - 1 + v**2 to the form q*v + y*v**2 + o*v**3 + n and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*(-6)\/(-27))\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/32)\/(3\/(300\/125))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 288676280?\nAnswer: 2, 5, 919, 7853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -93, -174, -285, -426, -597?\nAnswer: -798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1011233013323 - -203?\nAnswer: 1011233020132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r + 815 + 1942*r + 230*r - 817.\nAnswer: 2178*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.5 - -3.7.\nAnswer: 8.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.6 + 1.1. Let j = 7.7258 + -8.225845. Let o = j - s. Round o to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 9 = 3*p, 6 + 45 = 2*v - 5*p. Let k = -8 + v. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418582 (base 9) in base 15?\nAnswer: 4dbe8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18500, -18506, -18516, -18530, -18548, -18570, -18596?\nAnswer: -18626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-nine fifths of a century?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 81793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (22\/110)\/((-3)\/10265). Let g = -684 - l. Which is the nearest to g? (a) -0.2 (b) 0 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 0.2617.\nAnswer: -0.13085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 - -6. Let o be ((-6)\/w*2)\/(1\/4). Suppose 2*v - 4*j - 24 = 0, -o*j + 6*j - 59 = -2*v. Calculate the lowest common multiple of 2 and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -162*c**2 - 10405 + 10405 in the form h*c**2 + n + f*c and give h.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 times -545?\nAnswer: 70.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (2 - (15 - 7))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11484 and 336864?\nAnswer: 1010592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + d + 3*d)*(-4 - 2*d + 7 + 5) + (-4 - 2 + 7)*(-2*d - d**2 + 2*d).\nAnswer: -3*d**2 + 8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*w - 112 - 80 = 0. Which is the second biggest value? (a) w (b) -0.4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(0 + sqrt(1053))*4 + 1*sqrt(1053)*2*-3)*4*6)**2.\nAnswer: 2426112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19616046?\nAnswer: 2, 3, 563, 5807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 4:17 AM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + -3*(-2)\/3. Let d be u + -4 + 1 - 5. Suppose -13 = 5*j + 7. Is d not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -151 + 178. Sort -4, 0, w in decreasing order.\nAnswer: w, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of m**5\/10 - 35*m**4\/6 - 313*m**3\/3 - 1536*m. What is the second derivative of n(h) wrt h?\nAnswer: 12*h - 140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s**2 + s**2 + 4*s**2 + (0 + 0 + s - 1)*(-2*s - s - 3*s - 3).\nAnswer: -5*s**2 + 3*s + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 139? (a) 0.3 (b) 1\/10 (c) 4 (d) -200 (e) -4 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h - 1. Let t(u) = -2*u**2 + 5*u + 8. Let o = -29 - -30. Calculate o*t(i) + 6*x(i).\nAnswer: -2*i**2 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {n: 4, l: 6}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-110)\/45 - 2) + (0 - -4)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4113 - -7?\nAnswer: -4109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 21076165931 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5983 (base 13) to base 4.\nAnswer: -3011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - -0.244300517327\nAnswer: -0.155699482673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence chu when three letters picked without replacement from oouhhucuuuthuoto?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 12. Solve -w*p + 7*p + 10 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 905057852 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18766001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((10\/(-15))\/((-60)\/(-36)))\/((-9)\/(-15))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 19, 2, -11, 181 in ascending order.\nAnswer: -11, 2, 3, 19, 181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/((-595)\/(-6))*(-23 + (-5967)\/(-234)).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26083 (base 9) in base 5?\nAnswer: 1030241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1255773 and 1513?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 23. Let x = k - 62\/3. Suppose 1\/3*s**5 + 0 + 0*s - s**4 + s**3 - x*s**2 = 0. What is s?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 83? (a) 0 (b) -5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/10)\/j*j*j\/(j*j\/((j\/(j*j**(2\/37)))\/j)) assuming j is positive.\nAnswer: j**(-723\/370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1609306804 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + 1. Let c(p) = 1. Let k = 6 - 12. Let i(q) = k*c(q) + 4*m(q). Differentiate i(w) with respect to w.\nAnswer: -8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 2:07 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 39558.05 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(-1*sqrt(192)).\nAnswer: -sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1892770.5 rounded to the nearest 100?\nAnswer: 1892800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16 + 0 + 1)*(-2 - 3 + n + 0) to y*n + s and give s.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -328 (base 11) to base 14.\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/678 and 103\/9054.\nAnswer: 1023102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -69*h + 108834*h**3 - 10*h - 108881*h**3 to g*h + j*h**2 + c*h**3 + y and give c.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -3*y + 4*w, -5*y - 2*w = -3 - 0. Let d be (-14)\/(-2) - (1 - y). Is 3 at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1899\/1055*(-20)\/(-21).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27616 by -1.\nAnswer: -27616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 76114, 152226, 228338, 304450, 380562, 456674?\n\"Answer: 76112*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 12 = 2*y. Let q be 6\/88 + y\/(-22). Factor 0 + 1\/4*u**4 + 0*u + 1\/4*u**3 - 1\/4*u**2 - q*u**5.\nAnswer: -u**2*(u - 1)**2*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11 or 4594?\nAnswer: 4594","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(((-36)\/(-16))\/9). What is h in 9*h**4 - 23*h**u + 4*h**3 + 10*h**5 + 48*h - 48*h = 0?\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1320475 divided by 1?\nAnswer: -1320475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*p**5 + 1276*p**3 + 188752*p wrt p?\nAnswer: 160*p**3 + 7656*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9\/7? (a) -0.7 (b) 2 (c) -21 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-231)\/(-14)*(-8)\/(-6). Calculate the greatest common factor of g and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -659*i**2 + 71*i**2 + 50*i**2.\nAnswer: -538*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 0. Suppose -f - k*q = -185 - 73, -4*f + 1047 = 5*q. Let w = 4018\/15 - f. Which is the biggest value? (a) 4 (b) w (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1567\/4 - 391. Which is the closest to 3? (a) 3 (b) -1\/3 (c) h (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1028618 to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4436 + 4470. Sort 5, 4, 3, j in descending order.\nAnswer: j, 5, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-84)\/(-56))\/(2\/4). Let f be -6*(9\/(-2) + 2). Suppose o + 4*o = f. What is the highest common divisor of o and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/370260 and -11\/312.\nAnswer: 9626760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 6*j**3 + 4*j**3 + 5*j - 1 - 2*j**2. Let b be g(-3). What is the tens digit of (-731)\/b + (-6)\/14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 22\/9 of a day?\nAnswer: 3520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18*a*p**2 - 4524860*a - p**2 + 5997*p wrt p?\nAnswer: -36*a*p - 2*p + 5997","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -233, -2\/5, 32.\nAnswer: -233, -2\/5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 + -110111110111?\nAnswer: -110111101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5765.\nAnswer: 5, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 4*a**2 + 3*a. Let m be 3*2\/(-9)*3. Let d be h(m). What is the remainder when 22 is divided by 8*(-9)\/(-12)*d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144976577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3480850 or 5\/6?\nAnswer: -3480850","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 212015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 4317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*h**2*k**5 - 349*h**2*k**2 + 2*h**2*k - 4*k**2 - 368475*k wrt k?\nAnswer: 180*h**2*k**3 - 698*h**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -33856, -3, -15.\nAnswer: -33856, -15, -3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/18 and -3*(1\/20 + -1).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/36)\/(-2)*15\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 5*a - 3. Let b be h(6). Let n(f) = -f**3 + 3*f**2 + 2. Let r be n(b). Let l(m) = m**r + 0*m**2 + 3*m**2. Let u(v) = v. Determine l(u(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + ((sqrt(11) + -2)*-5 - sqrt(11)) + 5 + sqrt(44)\/sqrt(4))**2.\nAnswer: -120*sqrt(11) + 401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -i - 5*a, -1 = -5*a - 6. Suppose -3*v - m + 5 = 2*v, 15 = -2*v + i*m. Solve 2*g + v*r - 9 = -3*r, g = r - 8 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62089 = -202*r + 2571395 + 237946. What is the greatest common divisor of r and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 8, u: 3, m: 5}. Give prob of sequence um.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -352 = -7*w + 663. Suppose -2*n = 3*o - w, 2*n + o - 150 = 3*o. Is 19 a factor of (-3)\/3 + -2 + n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -11*j**2 - 7. Let i(u) = -11*u**2 - 6. Let p(z) = -6*g(z) + 7*i(z). Let n(d) be the third derivative of -d**5\/12 - 26*d**2. Determine n(p(f)).\nAnswer: -605*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -346062 (base 10) in base 15?\nAnswer: -6c80c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 4*m - 12 + 5 = 0, -3436*f + 4*m = -3436*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3*-1*5\/((-45)\/(-27))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 4*m - 26, -2*m = -3*m - 4*x. Suppose -3*t + m*t = 60. Let u(g) = g**2 + g - 7. Let d be u(-5). Solve -3 + t = 2*w - y, 0 = -2*w + 5*y + d for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 1 + 5)*(g - 1 + 1) - 53 - 32*g + 34*g + 378 to o*g + f and give f.\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2\/21, -3\/2, 0.2, 9\/970, -0.12?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -26\/877465 and 0.2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.39 + -0.1. Let t = -1.29 + o. What is the third biggest value in t, 2\/21, -1\/8, 2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6, 11, 38, 81, 146?\n\"Answer: x**3 - x**2 + 13*x - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, w: 5, x: 2, r: 2, j: 2, c: 2}. Give prob of picking 2 w.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -633, 41, 4, -21\/52, 1\/2, 1.\nAnswer: -633, -21\/52, 1\/2, 1, 4, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = j - 5, -j - 3*i - 3 = 2*j. Let t(u) be the second derivative of -1\/40*u**5 + 2*u + 0*u**2 + j*u**3 - 1\/12*u**4 + 0. Solve t(g) = 0 for g.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/5)\/(3*(-49)\/105). What is the fourth smallest value in 0.5, -0.2, 0.3, a?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -2. Let g be (3 + (-1 - f))*-1. Suppose g*j - c = 6*j - 155, -2*c = -4*j + 158. What is the greatest common factor of 26 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 10) in base 3?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*s**2*t**2 + 87548*s**2*t - 3*s**2 + 28*s*t**2 + s*t + 21*s + t**2 - 4*t + 17 wrt s?\nAnswer: -36*t**2 + 175096*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45 + -32. Suppose 3*c = 68*o - 69*o + 108, 0 = 4*o + c - 443. Let t = o - 87. Calculate the remainder when t is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30022003110 (base 4) in base 16?\nAnswer: 30a0d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(-3*x**2 - x**3 + 3*x**2) + (-9 + 7*x**3 + 9)*(-5 + 2 + 1) - 3*x**3 - x**3 + 5*x**3.\nAnswer: -14*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 18*j = -20. Find the first derivative of -7417*r**j + 13 + 29*r**4 + 7417*r**2 wrt r.\nAnswer: 116*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144*c**3 - 94*c**3 + 226*c**3.\nAnswer: -12*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -11*j**3 + j**2. Let v be n(-1). Let k be (-1 - 2)*(-3)\/v. What is the third biggest value in k, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n - 6. Let u be t(9). Suppose v + 2 = j, -2*v = -u*j - v + 6. Differentiate j*i**2 - 3*i**2 - 5 + 4 with respect to i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 5*j + 4 = j, -h = -5*j - 5. Let z be -2 - (22\/(-8) + 1). What is the closest to z in h, -1, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32542000 rounded to the nearest one million?\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*c**3 + 5*c**3 - 14*c**3 + 8*c**3 - c**2.\nAnswer: -28*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3298 - -3293. Sort 4, -2\/35, 0.01, g, 3.\nAnswer: g, -2\/35, 0.01, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -125, -465, -1019, -1787, -2769?\n\"Answer: -107*f**2 - 19*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1855928 divided by 1\nAnswer: 1855928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1\/(-5))\/(8\/(-185)) and -53\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1521692468.\nAnswer: 2, 5003, 76039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 3479*k + 1011*k - 16 - 3 + 21 as g + j*k and give j.\nAnswer: 4490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -366705*p**3 + 1281080*p.\nAnswer: -2200230*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wiinkhkidkddnwk. Give prob of sequence dk.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(125)*-3 + (sqrt(5) - (sqrt(5) + 2*(-2*sqrt(5) - sqrt(5)))) + -2).\nAnswer: 2 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + 13\/6 - (-237)\/158. Find m, given that 0 + q*m**2 + 40\/3*m = 0.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a kilogram in grams?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.1934+-0.2527\nAnswer: -0.4461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by -1 + 8 - (-1 - -3) - -24?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 10:55 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/7)*b)**(-6)*(b**1)**17)**(2\/111) assuming b is positive.\nAnswer: b**(178\/777)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -3*y + 40 + 18, -4*y + u + 52 = 0. Is y a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by (23 - (2 - 2)) + (-18)\/9.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2805999100 to the nearest one million.\nAnswer: -2806000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3052435662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -3. Let m be (-2)\/((-4)\/6) - n. Let a = -4 + 4. Solve a = 4*s - 0*k - 3*k + 11, m*k - 27 = -2*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1.52722, 2, -0.2, -3\/28, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/63*126\/(-36)*-8\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*x + 28*x + 7*x**3 + 0*x**3.\nAnswer: 7*x**3 - 7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*k**3 + k**3 + 0*k**3.\nAnswer: -20*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279082 is divided by 23238?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*r - 25014*r**3 + 12494*r**3 + 12525*r**3 - 2*r.\nAnswer: 5*r**3 + 111*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 498*v + 1 - 1.\nAnswer: 498*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - j - 4 = 39, 0 = 5*u - 3*j + 113. Find the common denominator of u\/(-33) - (-37)\/96 and 139\/12.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249706937.3 + 28151?\nAnswer: 249735088.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*d - 129 + 16. What is the remainder when d is divided by 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9706 is divided by 180.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l = 4*i - 4*l + l + 13, 9 = 7365*i - 7364*i + l for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34703?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - x. Let j be y(0). Let d(r) = r**3 + r**2 + 2*r + 3. Let p be d(j). Suppose -15*o + 29 + 1 = 0. Solve 5*l - 25 = 0, -o*b + p*l = b + 12 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-24)\/10 + (-4)\/(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of 1\/5*j**2 + 53 - 2\/5*j**3 + 0*j - 2\/25*j**5 + 3\/10*j**4. Factor n(r).\nAnswer: -2*r*(r - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4219695 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -105 by -264.\nAnswer: 35\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 568*h*j**3 + 3*h*j**2 + 40105*h + 41*j**3 + j**2 wrt j?\nAnswer: 3408*h + 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23.14 - -49.77. Let u = p + 0.09. Let t = -72.999736 + u. Round t to five decimal places.\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*p + 19*p + 12*p**2)*(-4*p**2 + 4*p**2 + 3*p**3) + (p**2 + 9*p - 9*p)*(-1 + 1 - 6*p**3).\nAnswer: 30*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -13*w**2 + 16*w + 24. Let j(g) = -9*g**2 + 17*g + 22. Give 3*j(r) - 2*x(r).\nAnswer: -r**2 + 19*r + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 4:28 PM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a**3 + 108*a**2 - 110*a**2 - 3 - 2*a - 2*a**3 - a**3 in the form g*a + t*a**3 + b*a**2 + v and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4167 - 4131.58. Let m = t - 0.42. Let a = -35 + m. What is the nearest to a in -4, -0.07, 2?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -710 - -2224. Does 100 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a5c + -1?\nAnswer: a5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 239.3237 seconds?\nAnswer: 239323700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b82 (base 12) to base 15.\nAnswer: -772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 182 and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -60570 - 1376?\nAnswer: -62166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1040501 + -3?\nAnswer: 1040454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3472 is divided by 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 32 = 2*o. Let x = -35 + 37. Suppose -12 = -4*d - 2*t + 20, -x*d + 3*t = -24. Calculate the remainder when o is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of -c**5\/30 + c**4\/12 - c**3\/6 + 4*c**2. Let z be s(2). Let a = z - -5. Are -1\/7 and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of -l**6\/3 - 11*l**2 - 15*l. Differentiate i(j) with respect to j.\nAnswer: -40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**2)**(-44)\/(c**5*c*c**(4\/3)))\/((c**(-5\/3)*c**0)\/(c*c**1)**(-5)) assuming c is positive.\nAnswer: c**(-311\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5859538 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-10)\/(-75)*10)\/(2\/3). Suppose b*k = -2*n + 120, n - 4*n = -3*k - 210. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -18*v - 6. Let l be w(-1). Suppose l*x = 6*x + 108. Let p be -1 + -1 - (0 - 56). What is the highest common factor of x and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -2. Let a(u) = -2*u**3 - 15*u**2 + 5*u - 13. Let o(l) = l**3 + 8*l**2 - 3*l + 7. Let y(q) = r*a(q) - 5*o(q). What are the prime factors of y(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.83 + 0.17. Suppose -q = 2*z + 76, 2*z + 60 = -5*q - 0. What is the closest to z in 0.2, t, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c - 3*c - 46 - 35 + 81.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -127*c**2 + 29*c**2 - 7890*c - 9 + 3946*c + 3944*c to o*c + z + y*c**2 and give y.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001785 to five decimal places.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15353 (base 8) to base 10.\nAnswer: 6891","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - y = -0*z - 12, 4*y = 3*z + 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + 17*r - 16. Let x be p(16). Suppose 4*t + 0*t - 5*c - 1533 = x, -2*t + 759 = 5*c. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -20, -42, -76, -128, -204, -310, -452?\n\"Answer: -z**3 - 15*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -21*r**2 + 3*r**3 + 2 - 4*r**3 + 28*r**2 + 6. Is 4 a factor of z(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 + 38. Let r(l) = -17*l**b + 11*l + 22*l**3 - 13*l**3 - 6*l**2. Let a(q) = q**3 + q**2 - q. Let g(o) = 18*a(o) + 2*r(o). Factor g(i).\nAnswer: 2*i*(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5654519?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -16*j - 20. Suppose 92*g - 100 = 97*g. Let h(s) = s - 1. Let i(k) = -4*k + 6. Let l(f) = 5*h(f) + i(f). Determine g*l(c) - p(c).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 + 103050*h - 530965125.\nAnswer: -5*(h - 10305)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96724.\nAnswer: 2, 24181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 12*l - 285. Calculate the remainder when 144 is divided by f(26).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**3 + 32292*d**2 - 86848620*d + 77812936300.\nAnswer: -4*(d - 2755)**2*(d - 2563)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x - 1429 + 1401 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 5*o - 75. Suppose 0 = 5*i - k - o, -11 = -i - 4*k + 15. What is the highest common factor of 6 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 6:56 PM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*u + 41*u + 119 = 5*v + 69*u, 3*v - 2*u - 69 = 0 for v.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 645201401?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(0 + sqrt(3)) - 4*sqrt(243))**2.\nAnswer: 3072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 9*n**2 - 8*n - 1. Calculate g(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 715, 716, 717, 718?\n\"Answer: i + 714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5)\/h*h**(1\/2))\/(h**(1\/2)*h)**(-16\/9) assuming h is positive.\nAnswer: h**(-17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -281 + 966. Suppose 2*s - a = -5*w, 3*s = 2*s + w + 339. What is s rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (69\/(-23))\/((-9)\/12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7\/8 + -51\/40. Suppose -3*s = -5*s. Which is smaller: n or s?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 61 + -29. Let g be 2\/((-1)\/2 - -1). What is the remainder when s is divided by 22*(-2 + 10\/g)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -113 + 99.4. Let o = -14 - s. Which is the biggest value? (a) 5 (b) o (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m**5\/7 - 828*m**4\/7 + 166340*m**3\/7 + 300000*m**2 + 504000*m = 0. What is m?\nAnswer: -10, -2, 0, 420","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 8*g**2 + 9*g - 10. Let m = 15 + -8. Let x be n(m). Solve -k + k**4 - 2*k**4 - k**x - k**3 - 4*k**2 - 4*k**3 = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49 + 35. Let g = 1570.86 + -1557. Let y = v + g. Round y to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + f + 5. Let y be d(0). Suppose 30 = 2*s - 2*q, 4*s - 64 + 19 = q. Solve -n + h + s = -4*n, 3*n - 4*h = -y for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 2*v**2 - 5*v + 3. Let w be c(3). Let z = -5 - w. Put -1, -0.2, z in descending order.\nAnswer: -0.2, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -94566 by -187.\nAnswer: 94566\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2042201 (base 5) in base 10?\nAnswer: 34051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/171 and -23\/162?\nAnswer: 3078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1037*v = -625*v + 11948 for v.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 8*h - 60 = 0, 0 = -2*r - 45*h + 43*h + 30 for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -y**6\/51 + 4*y**5\/85 + 15*y**4\/17 - 184*y**3\/51 + 91*y**2\/17 - 60*y\/17 + 784. Suppose n(f) = 0. Calculate f.\nAnswer: -6, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 842.9534 days to microseconds.\nAnswer: 72831173760000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*x + 66 = -44*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/258 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24\/5*d - 3\/5*d**2 - 36\/5.\nAnswer: -3*(d - 6)*(d - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57*(3 + (-10)\/4) and -19\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (2 - -1) - (128 + (90 - 188)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t**4 - 315*t**3 + 4080*t**2 + 28900*t = 0. What is t?\nAnswer: -5, 0, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -440? (a) 2 (b) -1\/3 (c) 2\/33 (d) 238\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - 1 - -14 - (-2 - 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 29634 divided by 898\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -r**5\/4 + 11*r**4\/12 + 2*r**2 - 4*r. Let q(d) = -11*d**3 + 23*d**2 + d + 8. Let l(t) = 13*a(t) - 6*q(t). Determine l(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/2*14\/(-21). Let t(a) be the first derivative of 13*a + 3 - 9\/2*a**2 - 5*a**c. Let i(n) = 7*n**2 + 4*n - 6. Calculate -13*i(m) - 6*t(m).\nAnswer: -m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 1 (c) 5 (d) 0.1 (e) 0.7 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 + 0.2. Let g(j) = 4 - j**2 + 0*j - 12 + 6*j + j. Let t be g(5). What is the biggest value in o, 5, t?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -4.6. Let u = -507 + 506.99. Let r = 2 - 0. What is the second smallest value in u, r, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -202 + 333. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.4 - 8. Let o = 0.1 - y. Let d = -2 - -5. Which is the nearest to o? (a) 5 (b) -1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -145*j + 319*j - 124*j - 29. What is the remainder when d(8) is divided by 62?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-9)*l*l*l*l**(-11)*l*l)**(-11) assuming l is positive.\nAnswer: l**165","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.4 (b) 61 (c) 2\/7 (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/9))**(-14\/5)*(f*f**(2\/25)*f*f)\/f**(-1) assuming f is positive.\nAnswer: f**(848\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -10 - (3 + -2 + 4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44978472 and 64680?\nAnswer: 224892360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y - 13. Let b be x(7). Solve -b = g - 3 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 41056518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -261 - -265. Let m = -3 - -7. Suppose 0 = 3*t + f - 3 - 2, s*f + 28 = m*t. Solve -3*y + 9 = -x + 3, -t*y - 3*x + 6 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(-15) - 1 - 3*-1.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xoyirxb. What is prob of sequence xibo?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/24*(-191820)\/1150 - 1\/(-5)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 5:30 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/(-945) - 83\/(-1743).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-3))**(9\/7))**28 assuming y is positive.\nAnswer: y**(-108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uqqu when four letters picked without replacement from dvdqvuqu?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22282845?\nAnswer: 3, 5, 13, 229, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5977375.8 + 18.\nAnswer: 5977393.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 30685 divided by 2816\nAnswer: 30685\/2816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -242*w + 160 = -237*w. Calculate the lowest common multiple of 2 and w.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, -2, 0, 2\/5 in descending order.\nAnswer: 0.6, 2\/5, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 25 = 3*x - 29, 5*x + 2*w - 90 = 0. Let k = 18 - 6. Calculate the highest common factor of k and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mxqy when four letters picked without replacement from {p: 5, q: 1, x: 2, y: 2, m: 4, a: 1}?\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 9866?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 v when two letters picked without replacement from {c: 1, g: 1, v: 9, p: 4}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 20*i**3 - 3*i**2 - 3. Let p(u) = -561*u**3 + 85*u**2 + 85. Calculate 85*b(r) + 3*p(r).\nAnswer: 17*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/101 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 975\/9 - 3\/9. Let g(u) = -u**3 - 5*u**2 - 6*u - 5. Let n be g(-4). Suppose p = b + n*b. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*z**4 + 1491*z**3 - 24*z**2 + 900701*z wrt z?\nAnswer: 36*z**2 + 8946*z - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 - 159. Let w = 216 + p. Suppose 0*b + 72 = 5*b - 4*r, -r + w = 5*b. What is the highest common factor of 32 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 10*h**2 - h + 3. Give p(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of 4*l - 5\/3*l**3 + 3\/2*l**2 + 54 - 1\/4*l**4. Determine g(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.86 + -6.86. Which is the closest to x? (a) -5\/2 (b) -10 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36 - -38. Suppose 10 = -2*y, 3*a - 3*y - 12 = i*a. Let k = a + 17. Calculate the remainder when 26 is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(567))**2 + (sqrt(14)*-5 - sqrt(14))\/sqrt(2).\nAnswer: -60*sqrt(7) + 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7651 + -7650.8. Which is the nearest to o? (a) 0.8 (b) 3 (c) -1 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 50 + -47.79. Let k = -2.1 + l. Round k to 2 dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-230)\/138*(-9)\/(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 + 20. What are the prime factors of b(0)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72526633.\nAnswer: 107, 277, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -1571*h**4 + 7*h**3 - 1040*h. Let z(r) = -523*r**4 + 2*r**3 - 347*r. Let g(x) = -2*b(x) + 7*z(x). What is the second derivative of g(n) wrt n?\nAnswer: -6228*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 9*j**2 + 45*j + 691. Let h be b(-17). Is h at most -2385?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1801444 (base 11) to base 7\nAnswer: -35011424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -1 - 4. Let p = 11 - o. Let i(v) = -2*v**3 + 9*v**2 - 8*v. Let x(h) = h**2 - h. Let l be (2 + 0)*16\/(-32). Calculate l*i(y) + p*x(y).\nAnswer: 2*y**3 - 3*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjj. What is prob of sequence jj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 392005589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -332, -672, -1022, -1388, -1776, -2192, -2642?\nAnswer: -3132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/5 of a litre in millilitres?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -79 - 3*6\/(-9). Let m = u + -46. Round m to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -63462, -62984, -62506, -62028, -61550, -61072?\n\"Answer: 478*b - 63940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.424 rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -6) + (14 - 1) - (125 + (131 - 116)).\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 3*p**3 - 4\/3*p**2 + 12*p + 1\/3*p**4.\nAnswer: p*(p - 9)*(p - 2)*(p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t**2 - 8. Suppose -g + 2 + 3 = 0. Let y(z) = -4 - z**3 - g + 3*z**2 + z**2. Let a(i) = 4*l(i) - 3*y(i). Differentiate a(o) wrt o.\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 15, 104, 375, 930, 1871?\n\"Answer: 17*q**3 - 11*q**2 + 3*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 6*r**2 - 9*r - 12. Let t be n(-7). Solve 27 - t = 5*q - 4*s, -5*q = -2*s - 25 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p**3 - 2*p - 1. Let k be i(-1). Let o = 23.988 + 0.112. Let c = 24 - o. Which is smaller: k or c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 a factor of 50616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 47*y - 2446. Determine l(65).\nAnswer: 609","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 178 by -89.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 5*u + 492 = 26, 2*u + 300 = 2*o. Does 8 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12890318 and 9996.\nAnswer: 541393356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5588\/10*(9 + -14). Is (a\/33)\/((-2)\/3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + 14.7. Let a = s + 1.3. What is the nearest to 1\/4 in -2\/11, -0.4, a?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 36 in descending order.\nAnswer: 36, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 + -34. Which is the nearest to -2\/3? (a) -1 (b) -3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219*t = -109*t + 2624 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 28326805 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 1328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/1*(0 - 1). Solve 0*g + 3*w = g - 6, 0 = b*g + 4*w + 8 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 842 is divided by 60.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -r**3\/3 + 5*r**2 - 14*r - 2. Let o be v(11). Round o to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10770\/8616)\/((-1)\/20)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*1*(-1 + 2). Let q(z) = -21*z - 21. Let d(y) = -5*y - 5. Let a(i) = 9*d(i) - 2*q(i). What is the remainder when 11 is divided by a(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9343073 hours to microseconds.\nAnswer: 3363506280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 0)*1 + (263 - (429 - 175)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t + 3*l = 5*l + 34, -5*t + 28*l - 47 + 75 = -76 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - 7\/((-21)\/12). Suppose 0 = z*i - 4*t + 21, -t + 12 = 2*t. Let p be 4 + -1 + i + -1. Solve 4*x + p = -c - 10, x + 11 = -3*c for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 69209 - 69189 = -0*w, -2*c - 34 = -4*w for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (-13 - (-4 + 5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.2, 5, 4\/7 in increasing order.\nAnswer: -0.2, 4\/7, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*j + o - 12 = -18*j, 0 = j + 2*o - 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7263400 = -3*s + 5*s. Suppose k + s + 668300 = 0. Round k to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 20*h**3 - 3*h**2 + 4*h - 3. Let m be n(3). What is the greatest common divisor of 567 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5783505?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1375693, -2751274, -4126855?\nAnswer: -5502436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 35. Give o(0).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166080 is divided by 6402?\nAnswer: 6030","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224 is divided by 47.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**5\/(n\/(n**5*n))*(n\/n**(-1\/3))\/((n*n**(-3\/7))\/n) assuming n is positive.\nAnswer: n**(247\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -2*v - 3, -3*l - 15 = 5*v for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 473 and 1793?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 7*z**2 - 10*z - 17. What is the remainder when y(-5) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**4 + n**4 + n**4)*((3 - 2*n - 3)*(-3 + 2 + 0) - 12*n + 5*n + 9*n).\nAnswer: -8*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27010?\nAnswer: 2, 5, 37, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-3852)\/(-702) + 4\/(-26) + -24 + 20\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82 = 11*g - 27 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28676386 is divided by 9558786.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -4, 0.241, 1536, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 0*z - z + z**3 + 2 + 2. Let b(q) = -q + 13. Let t be b(13). Give h(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 10. Let c be 40\/15 - (-3)\/s. Suppose -4*f - c*n - 23 = -162, 3*n - 46 = -f. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2143 - 2139. Solve -2*j - s*y = 12, -2*j + 3*y = 4 - 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -650, -1339, -2076, -2861, -3694, -4575?\n\"Answer: -24*f**2 - 617*f - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3*g = -227. What is the remainder when g is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -2*r**4\/3 - 23890*r**3\/3 + 223386*r**2 - 1317330*r - 3591900 = 0.\nAnswer: -11973, -2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -2*v + 4*i + 1, 27 = -5*v + 4*i. Let h = v + 5. Solve -3*f + 13 = -5*a + 3, a - 11 = -h*f for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 5*m**2 + 8*m - 8. Let j be l(6). Let n = -9.1 - -9. What is the closest to n in -5, 0.5, j?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/4908 and -49\/8220?\nAnswer: 3361980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjyy when four letters picked without replacement from yyjjyjy.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -0.5?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xgxxxxxgfxgggxggxsxs. What is prob of picking 1 g and 1 x?\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 4*d - 5. Let f be (330\/(-3))\/(5\/(20\/(-8))). Suppose 0 = -l + 45 + f. Let b = l - 93. What is m(b)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(12\/291) - 51\/204. Solve -4*q - 8*q - o = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**3 + 168*i**2 - 2511*i + 4374 = 0. What is i?\nAnswer: 2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(68)\/(-2*sqrt(4) + sqrt(4))*-5.\nAnswer: -25*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1305, 1306, 1307, 1308, 1309, 1310?\nAnswer: 1311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - u. Let c be (1 - 3)\/((-2)\/1). Let h(b) = -2*b**3 - 5*b**2 - 4*b. Give c*h(j) - 6*q(j).\nAnswer: -2*j**3 + j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.885876635 rounded to 3 decimal places?\nAnswer: -2.886","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.4 - 0.4. Let r = 87.9 + -88. What is the closest to r in 0.3, -1\/5, v?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3362\/14 - 123\/861. Is 242 < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106665 is divided by 57?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.351 - 0.011. Let t = 0.1 + b. Let i = -0.54 + t. What is the second smallest value in 4\/5, -4, 13, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 7:48 PM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -13 (b) 11\/3 (c) -7\/4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -674 - 2?\nAnswer: -676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 90419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -793 - -1391. Suppose -2*p = 4*c - 306, 4*p - t = -0*p - c. Let f = -442\/3 + p. Is 1 less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 9. Suppose b = -t - 3*t + 2*d + 62, -4*t - 2*d + 66 = 0. What is the least common multiple of t and (-2)\/2 - (2 + -23)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fifty-five halves of a minute?\nAnswer: 1650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 8*o - 10*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -160.86+0.15191409\nAnswer: -160.70808591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29282230.\nAnswer: 2, 5, 19, 229, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -301779*c**2*o**3 + 62*c**2*o**2 - c*o**2 + c*o - 4*c - 7*o**2 wrt o.\nAnswer: -1810674*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (l + 3*l - 13*l)*(7*l**2 + 4*l**2 + 4*l**2) in the form i*l + c + x*l**3 + t*l**2 and give x.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 885449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/2)\/(9\/(-24)). Suppose -2*p = -4*d - 0*d + 40, 4*d = k*p + 48. Calculate the smallest common multiple of 1 + (-2)\/((-8)\/52) and d.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4*l**2 + 903*l + 32411. Calculate k(-181).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.752 + 825.248. Let y = r - 827.2. Which is the second smallest value? (a) y (b) -3 (c) 48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 243 divide 169857?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(-2\/3)*n))**(-1\/12)*n**3*n*n\/(n**(6\/5)\/n) assuming n is positive.\nAnswer: n**(427\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11055 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 556777?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2467201 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.06 and -0.5.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 1 = 2*k. Suppose 8*m + 6 = 3*p + 3*m, -2*p + 5 = -3*m. What is the highest common divisor of k and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 8, f: 5}. Give prob of sequence ffwf.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*o**5 - 5*o**3 - 3*o + 9.\nAnswer: 300*o**3 - 30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -145*l + 19. Let a(x) = -131*x + 18. Determine 7*a(w) - 6*n(w).\nAnswer: -47*w + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23.62 - 15.62. What is the nearest to -1\/4 in -1, 4, l, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50 + 61 - 55*j - 13 to the form n + a*j and give a.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**4\/5 - 136*a**3\/5 - 436*a**2\/5 - 296*a\/5.\nAnswer: 4*a*(a - 37)*(a + 1)*(a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -75243, 2, -4, -3.\nAnswer: -75243, -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express v + 2*v + 0*v + v + v - v + (-2 + 0 + 3)*(v - v + 4*v) - 2*v - 3*v + 4*v as i*v + s and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-5 + -1 + sqrt(112) + -5 + -1)*-6)**2.\nAnswer: -3216*sqrt(7) + 8521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1526.5 less than -830?\nAnswer: 696.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/((-35)\/(-4)))\/2.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 4*o + 628. Let j(b) = 2*b. Give v(j(d)).\nAnswer: 8*d + 628","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (-5 - (8 + -4) - (-13 - 3)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 10440.\nAnswer: 10440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 0, -4, 613 in increasing order.\nAnswer: -4, -1, 0, 4, 613","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 94 by 11112.\nAnswer: 47\/5556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*w + 2170 = 124*w for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 771 = 5*n - 94. What are the prime factors of n?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2835 = 21*p - 35490. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 165288767?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**38*m**(-13\/5) assuming m is positive.\nAnswer: m**(177\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1265 (base 8) to base 4.\nAnswer: 22311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 129807557, 5 in increasing order.\nAnswer: -3, 5, 129807557","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 591667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v + 9 - 7*v - 5 to the form j + a*v and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12180 and 1527?\nAnswer: 6199620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 48497*a**4 - 29269*a**2 wrt a.\nAnswer: 1163928*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 3022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -6. Suppose -2248*m = -2249*m - 8, -6 = 2*i - 3*m. Which is the second smallest value? (a) -5 (b) i (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3 = -2*g + 5, -3*w = -3*g + 18. Let k be (g\/11)\/(1\/29). Calculate the highest common divisor of 319 and k.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1346368 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 11:13 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 361320 rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 26. Suppose -s*y - 199 = -18*y. Let a = y + 375. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((1*sqrt(832))**2 - sqrt(832))*-5 - (sqrt(832) + (-2*sqrt(832)*4)**2)) + 3 + (sqrt(832) - 1*(sqrt(832) + sqrt(832) + -4*sqrt(832)))**2.\nAnswer: -49920 + 32*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -27*q - 178. What is u(-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*l + 9 + 18 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of q*w**3 + 3*q*w**2 - 795*q*w - 12*q + w**3 + 4220*w**2 - 3*w - 3 wrt w?\nAnswer: 6*q*w + 6*q + 6*w + 8440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 991135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59219.12 nanograms to milligrams.\nAnswer: 0.05921912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11418 - 7727. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3037447.27468 + 788.\nAnswer: 3038235.27468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j - 8. Let a be t(4). Suppose 4*z - 774 - 286 = a. Suppose -n + 185 = 3*v + 3*n, -5*v + z = -2*n. What are the prime factors of v?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1734, -1320, -906?\n\"Answer: 414*m - 2148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g - 48 = -16*g. Let k = g - 13. What is the least common multiple of 7 and k?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + 2 - (97 + -17 - 11)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*g + 12 = 0. Let c = -221 - -1991\/9. What is the closest to c in -2\/3, 0.4, g?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60063106 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000378 to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and -3381.\nAnswer: -3385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -8. Suppose -2138 = -2*s - t*y, 8*s - 5345 = 3*s - 3*y. Suppose 8*p + 5*r = 3*p + 5360, -4*r + s = p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a - 3. Let t(q) = 2*q - 3. Let m be -3 - -3*2\/6. Let w(b) = m*t(b) + 3*o(b). Let s be 1\/(1 - 2)*-3. Calculate w(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (75 - 75 - 392*l + 1221*l)*(1 - 4 + 2) to the form c*l + w and give c.\nAnswer: -829","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p - 357 + 359, -3*p + 18 = -5*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1679 in 0.5, -0.4, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9973 + -432. List the prime factors of c.\nAnswer: 7, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1065 + -154. Does 15 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -762*v**3 + 78*v**2 + 227*v - 4. What is the ten thousands digit of m(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in seventy-three fifths of a millennium?\nAnswer: 146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and -12 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 43160 and 39272.\nAnswer: 211872440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 313, -2\/3, 7.6, 1 in ascending order.\nAnswer: -2\/3, 1, 7.6, 313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -293 and -296 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -23 + 28 + -1 + 1 - (-2 - -6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 7 - 11 = 0. 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: Three letters picked without replacement from rrrqqkrrrrrkrr. Give prob of sequence qkr.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*49\/(-14)*(-378)\/8100*-30?\nAnswer: -49\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t - 4. Let y(p) = p - 4. Suppose -3 = l + 1. Let j(m) = l*s(m) + 3*y(m). What is j(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-5))\/((-9)\/30). Let x be 1*4 - (5 + -7). Solve 0 = -p + l*t + t + x, 2*t - 4 = 2*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of -h**8\/2240 + h**6\/720 + h**5\/12 + 7*h**2. Let j(y) be the third derivative of a(y). Calculate j(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36781630 to the power of 1\/2, to the nearest integer?\nAnswer: 6065","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 113, -19 in decreasing order.\nAnswer: 113, 1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5031156421 and -65?\nAnswer: 64.4968843579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2299)*3 - sqrt(2299) - (sqrt(2299) - (-1 + sqrt(2299) - sqrt(2299)))*-3 - (1 + sqrt(2299) + -1 + sqrt(2299) + 0 + 3))**2 + -5 + 1.\nAnswer: 82760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = d + 3. Let x(l) = 5*l - 4. Let n(q) = q**2 - 6*q + 5. Let h(c) = 6*n(c) + 7*x(c). Calculate the remainder when h(-2) is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -512, 0, 3, 2, -2 in increasing order.\nAnswer: -512, -2, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-725 - -712) + 2 + 39 + 1 + 2\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/135)\/(16\/(-10)). Let a(p) be the third derivative of -x*p**4 + 0*p + 0*p**3 + 0 - 2*p**2 + 1\/180*p**5. Suppose a(j) = 0. Calculate j.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k + 14 = 2*o + 11*k, 10 = -2*o + 5*k. Suppose 3*s + 265 = o*c + 7*s, 4*c - 2*s - 212 = 0. What are the prime factors of c?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20108 = 16*b - 17*b. Suppose -3*a = -b - 2335. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 12:40 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**3\/2 + 75*o**2 - 1991*o\/2 - 2295 = 0. What is o?\nAnswer: -2, 17, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74292 is divided by 97?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/46 (b) -1 (c) 0.06 (d) 1179 (e) 3\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4243 + -4?\nAnswer: -4302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**4\/11 - 54*f**3 - 1794*f**2\/11 - 1798*f\/11 - 600\/11 = 0 for f.\nAnswer: -1, 300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 11*s**2 + 10*s - 1. Give m(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-8))\/(-1*2\/16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 839093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o + 318. Let b be j(0). Let y be b\/27 - 6\/(-27). Does 11 divide 186\/y - (-1)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 18091.82 decades?\nAnswer: 2171018.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-810)\/(-90)*(-50)\/(-45)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -244.072 to the nearest 10.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1002214, -4008865, -9019950, -16035469?\n\"Answer: -1002217*p**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 7*c**2 - 6*c - 38. Let d be y(-2). Let o be 3\/6*-1*10. Sort -4, o, -111, d in descending order.\nAnswer: d, -4, o, -111","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-9))\/(p\/(p\/p**(-4))*p)*(p\/((p*p*p**(-2\/23))\/p))\/((p*p*p**2*p)\/p) assuming p is positive.\nAnswer: p**(-205\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 7 = -7*k. Let t = -3.05 + 0.05. Which is the third smallest value? (a) t (b) k (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23221992, 23221960, 23221926, 23221890, 23221852, 23221812, 23221770?\nAnswer: 23221726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1924 divided by 3?\nAnswer: 1924\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/4*-1 + (-61)\/(-122). Let n(a) = -a**3 + a - 1. Let p be n(-2). Suppose -1141 = -3*z + y*c, -6*z + 1533 = -2*z - p*c. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 69 = -3*x, -8309 = 19*x + 47*x + 5*t - 6669 for x.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 112165 and 1565.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 49*m + 1116. Give i(-24).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 561750 = -1059*v - 14333*v + 3446*v - 358092 for v.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -489 + 483. Let u be (729982\/j - 3)*(52 + 8). Round u to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, q: 1, a: 1}. Give prob of sequence axq.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5*-5*sqrt(22)\/sqrt(2) - (-3*(sqrt(176) + 1))**2.\nAnswer: -1592 - 97*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j**4 + 424*j**3 - 21196*j**2 + 208064*j + 229680 = 0 for j.\nAnswer: -145, -1, 18, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5440 is divided by 1358?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34 + 20. What is the third biggest value in a, 5, 4\/9, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 326904071?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(6\/7)*i*i\/(i*i*i\/(((i*i**(-2\/5))\/i)\/i*i*i*i)))\/(i**0\/i**0))**(-45))**(-4) assuming i is positive.\nAnswer: i**(1836\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 0 = -3*h. Let f(n) = -n**3 - 7*n**2 + 8*n + 9. Let y be f(h). Differentiate 2*w**3 - y*w**3 - 4 + 3*w**3 wrt w.\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 254991 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -77898248*m**3 - 24*m + 362549.\nAnswer: -467389488*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/248*2*208\/78.\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000360412 to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1369568412.\nAnswer: 2, 3, 19, 74159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ook when three letters picked without replacement from ookrpokkeopw?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/215 and 3\/65?\nAnswer: 2795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1016 = -5*i + 1099. Does 29 divide i - 2*(-1)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, 28.4, 3957?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 7:34 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 760.4 to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.074 times -0.11?\nAnswer: -0.00814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 36?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -116, -239, -362, -485, -608?\nAnswer: -731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 7*c**3 + 3*c**2 + 13*c + 22. Let j be b(-4). Let x = j - -433. Factor 2\/7*s**x + 10\/7*s**2 - 12\/7*s + 0.\nAnswer: 2*s*(s - 1)*(s + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19944 + 33469. Calculate the remainder when g is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1162 a factor of 30301474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 7 - 5 - ((-22 - (-14 - 2)) + 8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -43, -37, -29, -19, -7, 7, 23?\n\"Answer: j**2 + 3*j - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 4*k = 16, l + 29 = -38*k + 34*k for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 466130 and 279678.\nAnswer: 1398390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1391532, 2783068, 4174604, 5566140, 6957676, 8349212?\nAnswer: 9740748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*d - 7*d + 10 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 93829103789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 + -44093.025.\nAnswer: -44081.025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04 and -2.34.\nAnswer: 0.0936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -741763280 to the nearest 1000000.\nAnswer: -742000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {c: 2, y: 4, d: 5}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y\/((y*y*y**2*y)\/y))\/y)**(2\/7)*y**(1\/6)*y**(-3\/17)*y)**(-44) assuming y is positive.\nAnswer: y**(-2090\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-9) - 5*(-12)\/(-60)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02113 * 0.064.\nAnswer: 0.00135232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 135 - 0. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -27.900379 to one dp.\nAnswer: -27.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - (-33)\/24)\/(35\/20). Is 1 > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/15549 - -13771\/13823061. Which is smaller: m or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 88 + 140 = 0. Calculate the remainder when 74 is divided by o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 384*p**2 - 1147*p**2 + 379*p**2 - 418 + 382*p**2 + 60*p.\nAnswer: -2*(p - 19)*(p - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23912897?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 11:19 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 8372b5?\nAnswer: -8372b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -441, -520, -617, -732, -865?\n\"Answer: -9*q**2 - 52*q - 380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 54 divided by -2\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -22220367 divided by -157?\nAnswer: 141531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 266 times -0.5\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(-6) - (-1768)\/(-78). Let z be ((-12)\/(-24))\/(23\/m - -1). Let c(q) = 21*q**2 - 2*q + 7. Is c(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20022022 - 20?\nAnswer: -20022112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.1 - -2. Let h = 768 - 768.0998. Let l = h - k. Round l to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1696 is divided by 223.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -117 + 133. Suppose 0 = 4*t + g. Sort 0.1, 1\/4, t, -2 in ascending order.\nAnswer: t, -2, 0.1, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.457 rounded to 0 dps?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4 - 0.3. Let p = -0.1 - -0.5. Let f = -20 + 16. What is the third smallest value in f, p, t?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 58\/(9\/(-3) + 280\/92). Suppose 4*n = -4*z + 2664, 2*z + 3*n + n = i. List the prime factors of z.\nAnswer: 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -117*b. Let i(v) = 4*v. Determine i(s(u)).\nAnswer: -468*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (0 + ((1 + sqrt(242) + -5 + -1 + -1 + sqrt(242))*5)**2)*-2.\nAnswer: -50201 + 13200*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from suauqqhcuss. Give prob of sequence hc.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -w - 1, 4*w = 10 + 2. Suppose m*g + 0*g = -0*g. Solve 5*f + 6 = 4*j, g = -2*f + 2*j - 3*j + 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 10:17 AM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -273280*r - 1366415. What is j(-5)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.463971 + -0.462. What is s rounded to 4 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*l**5\/7 - 43060*l**4\/7 + 14843296*l**3 + 9440510352*l**2 = 0. Calculate l.\nAnswer: -519, 0, 5642","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 1028.165734\nAnswer: -1030.165734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(832) - (sqrt(1573) - (sqrt(1573) + -1)))*2 + (((0 + sqrt(468))*-1 - (-3 + sqrt(468) + -2*sqrt(468))) + -5)**2.\nAnswer: -2 + 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -b - 7, -2*o - 3*b = -6*b + 1. Let p = 3 + o. Which is smaller: p or -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + 11. Let v = 13 - 12.3. Let m = 0.4 - v. Which is the nearest to -2? (a) k (b) m (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 330 (b) -0.2 (c) -10 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50076?\nAnswer: 2, 3, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 9:58 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58, -45, -32, -19, -6, 7?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11600.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 3:50 AM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**5\/4 + u**4\/4 - 11*u**3\/4 + 7*u**2\/4 + 5*u\/2 - 2 = 0 for u.\nAnswer: -4, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 23012 = -4*d, 2*d - 13919 = -4*q + 9069. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -75700335 (base 8) to base 7.\nAnswer: -254604512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 79972 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**3 - 5*b - 3 + 8*b**3 - 4 - 3*b**3. Let g(d) = -d**3 + d + 1. Give -5*g(r) - m(r).\nAnswer: 2*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -6 + 10*v + 1 + 1 - 3. Is q(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 825 = -50*h. Suppose 2*d = -w - 0 - 29, 76 = -3*d + 5*w. Is h smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 412761412 - 3?\nAnswer: 412761409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 21?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(2\/19)*q**(-1\/6))**(-6) assuming q is positive.\nAnswer: q**(-221\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6345144 - -62?\nAnswer: 6345236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 50*g**3 - 135307*g**2 - 2187325*g.\nAnswer: 300*g - 270614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 4*k - 2. Let a be w(1). Suppose -13 - 293 = -a*o. Is 13 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5715 - 5925. Is -211 < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.6, -0.2, 5, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 550540 is divided by 5768?\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of 5\/12*a**4 + a**2 + 0*a**3 + 9*a + 0. Let d(r) = 2*r - r - 3*r. Calculate d(o(j)).\nAnswer: -20*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9.9 + 5. Let t = q + 4.6. Put 1\/7, t, 0.6 in ascending order.\nAnswer: t, 1\/7, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 7*c**2 + 6*c + 40. Let r(g) = -3*g**2 - 3*g - 21. Calculate 5*r(n) + 2*w(n).\nAnswer: -n**2 - 3*n - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 412405 (base 7) to base 11.\nAnswer: 48a86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x*x**(-12))\/x))\/x**(-2\/5))\/(x**(-1)*x*x\/x**7) assuming x is positive.\nAnswer: x**(97\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(833)*4*3.\nAnswer: 84*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*h**2 - h**3 + 3*h**2)*(0 - 3 + 2) - h**3 - 2*h**3 + 0*h**3)*(-3 - h**2 + 3).\nAnswer: 2*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -2*b + 24 - 20, 0 = -3*b + s + 13 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 27*t + 28 - 3*t**2 + 20 + 8*t - 18. Does 11 divide q(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -10*t**2. Let h(u) be the second derivative of u + 5\/12*u**4 + 10 + 0*u**2 + 0*u**3. Determine h(m(g)).\nAnswer: 500*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135682.\nAnswer: 2, 179, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1207903 - -0.02?\nAnswer: -1207902.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 187551*t - 47075308. Determine d(251).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79800?\nAnswer: 2, 3, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2276407 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1714*y + 16253 - 71101 for y.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/16618 and -83\/48.\nAnswer: 398832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i - 15*i**2 + 10 + i**2 - 10 as p + h*i + n*i**2 and give n.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhookooahoohhhoh. Give prob of picking 1 h and 1 k.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 14*t + 12. Let l(p) = 29*p + 21. Give 6*l(s) - 11*m(s).\nAnswer: 20*s - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19167186 is divided by 594?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 13 = -5*y. Suppose 22 = 3*p - y. What is the least common multiple of p and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2749 - -2748.999993827. Round z to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 342691.\nAnswer: 342691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -56 + 50. Let k = a + 10. Suppose -t + k*t = 123. Does 41 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 5, -1, 19 in decreasing order.\nAnswer: 19, 5, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2. Let u(c) = c**2 - 271*c. Give u(v(a)).\nAnswer: a**4 + 271*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.07 + 0.02. Let o = i + -0.05. What is o rounded to zero dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65084 and 18428596.\nAnswer: 1228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*v - 6*v + 3 - 3.\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*y**2 - 36*y**2 + 36*y**2.\nAnswer: 28*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6661534886?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3543 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2531 - 1?\nAnswer: -2532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5150 and 20950.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.7? (a) -10 (b) 4 (c) 54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 298958 - 0.1?\nAnswer: 298957.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/4 and 17\/2219.\nAnswer: 8876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (28\/8)\/(-1)*2. Let l(h) = h**3 + 8*h**2 + 4*h + 10. Let i be l(w). What is the least common multiple of (6\/2 + 2 - 3) + i and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c - 1. Let r(k) = -k. Let y(m) = 43*m + 23. Let f(p) = -4*r(p) + y(p). Let d(u) = -f(u) - 6*o(u). What is the first derivative of d(h) wrt h?\nAnswer: -41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57057 a multiple of 231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 14. Let y = -12 + 10.9. Let t = y - j. Which is the closest to 0.1? (a) 2 (b) 0.5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m + 2 + 0*m + 0*m + 0*m. Let i be t(1). Let g = 20 + i. Calculate the remainder when g is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -202 (base 11) to base 7\nAnswer: -466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 9*m**3 + 1. Let z be y(1). Suppose 0 = 3*i - 8 - z. Let d be 85\/(-1 + 6) + -2. What is the highest common factor of i and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 8\/55?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 714 and 204.\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -53*v**3 + 53*v**3 - 28*v**4 + (6*v**3 + 5*v - 5*v)*(-1 - 1 + 7)*(1 - 2 - 1)*(0*v + 3*v - 2*v).\nAnswer: -88*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 48693?\nAnswer: 584316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 975591?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1133591, -2266869, -3400147?\n\"Answer: -1133278*c - 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/7 + 17282060*z\/7 - 51846162\/7.\nAnswer: -2*(z - 8641027)*(z - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 0 + -97)\/(-1). Suppose -71 = -3*g + t. Let d = g + -37. Solve -o - 4*z + d = -2*o, -12 = -3*z for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132150.\nAnswer: 2, 3, 5, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*f**2 + 4*f**2 + f**2 - 3 + 3 - f**2 + (0*f - f + 2*f)*(-5*f + 4*f + 0*f).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a second in milliseconds?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-176)\/(-120) - (-6)\/(-9)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7 + 1 + 20\/(-4). Suppose i*s - 60 = -2*s. Solve -n = -5*n + s for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-1\/15)\/s)\/(((s\/(s*s**(6\/11)*s))\/s)\/s)*(s*s**(-15)*s)\/(s**(-3\/2)\/s) assuming s is positive.\nAnswer: s**(-2317\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 631327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1199, 0.2, 998, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248*s = 910*s + 950*s - 29512 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-15))\/((-6)\/(-45))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -6671668330 to the nearest one million.\nAnswer: -6672000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 1 = s. Is (-5)\/(-25) - (-10016)\/s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (4 - 3*(-14)\/(-3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25526 - 25530. Let v = 3 - 3.3. Let z = 4 + -7. Which is the closest to v? (a) z (b) r (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2*a = -16, -4*a - 2 - 4 = 5*o. Suppose 0 = o*w + 4*l - 0 - 10, -3*w + 42 = -3*l. Is 10 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**6 - 56*d**3*o**2 - d**2*o + 12*d**2 + 2*d*o**2 wrt d.\nAnswer: -240*d**3 - 336*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13145963 is divided by 8643?\nAnswer: 8603","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/46, 0.5, -8, -9?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 135997 smaller than 135998?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 212 - 147. Does 2 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 5*g**2 - 1. Let m be n(5). Let a = m + 3. Suppose a*c = -c. Solve -2*j = -c*j - 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*z**5 - 3*z**5 - 38*z**2 + 4*z**6 + 22*z**6 wrt z?\nAnswer: 3120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/4)\/((-6)\/12). Let x(r) = -6*r**2 - r**2 - 1 - 3 + w. Calculate x(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2130469969 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 513165, 1026328, 1539491, 2052654, 2565817?\nAnswer: 3078980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 64 = i + 4*i, 0 = 3*i + 2*m + 44. Let u be 32\/(-6)*45\/i. Let d = -11 + u. What is the remainder when 25 is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - -1) + (-31 + 0 - -6) + -8?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 93684 and 10456316.\nAnswer: 1160651076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*c + 4*t + 17, 2*c + t + 1 = 0. Suppose -g + 12 = c*g, 0 = -5*u - 2*g + 228. Let f be 2\/4 + u\/(-40). Sort 2, -4, f in decreasing order.\nAnswer: 2, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.4840202 years?\nAnswer: 5.8082424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0182 rounded to three decimal places?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*k + 31426 = k. Let j = -11570\/7 + k. Factor -4\/7*o**3 + j + 0*o**2 + 12\/7*o.\nAnswer: -4*(o - 2)*(o + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2454 rounded to the nearest 100?\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/11)\/o**(1\/14))**(-3\/10)\/((o**1)**(-33))**(-44) assuming o is positive.\nAnswer: o**(-2236131\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -494 - -493.9. Let w be 6\/32 - 45\/(-60). Let f = 55\/16 - w. Which is the closest to h? (a) f (b) 3\/2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 47 = 2*o - 32, -2*x + 0*o - 433 + 401 = -o for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 21585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(8)\/(sqrt(4) + sqrt(36)) - (sqrt(10)\/sqrt(5) + 3) - ((-1*sqrt(128) - (sqrt(2) - sqrt(320)\/sqrt(10))) + -3)**2).\nAnswer: 369*sqrt(2)\/4 + 186","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (-8 + (7 - -3))) + -9.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1)*(2*c - 4*c - 2*c) + 316*c + 231*c - 115*c.\nAnswer: 436*c","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 3307 - 1970. Suppose 3*n - f = 2*y, -y - y = 2*n - 878. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 10000001?\nAnswer: 10000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 463 - 391. Calculate the lowest common multiple of 80 and o.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -7*q - 15. Let y(k) = -10*k - 22. Let x(v) = -7*w(v) + 5*y(v). Let a be x(-4). Let r be 2\/(a + 1\/2). Which is smaller: -3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7358829?\nAnswer: 3, 347, 7069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29729982 and 29729982.\nAnswer: 29729982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2 + 217775*f - 217770.\nAnswer: -5*(f - 43554)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4365 and 275965?\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-7)*(-14)\/7.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**(-1\/20)))**32 assuming b is positive.\nAnswer: b**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.15 in -0.02, -0.0671, 0.4?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1248 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 4*y + y**3 - 266 - 270 + 5*y**2 + 540. Suppose -14 = -2*q + u + 2*u, -2*q = 4*u + 14. Let m(z) = -5*z**2 + z. Let x be m(q). Determine p(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-30)\/(-50) - 64\/(-10). Solve 3*b - a*b = 20 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 411*f**2 - 361*f**2 - 2 - 61*f**2 + 263*f**3.\nAnswer: 263*f**3 - 11*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.149661 to 2 dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -11116, 4 in descending order.\nAnswer: 5, 4, -11116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 293 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 19797, 158421, 534697, 1267455, 2475525, 4277737, 6792921, 10139907?\n\"Answer: 19805*w**3 - 4*w**2 + w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p. Let o be 11*(-5 - (2 + 0)). Let t be 22\/o + (-214)\/(-14). Let d(s) = -15*s + t*s + 2*s**2. Determine d(z(q)).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 2, 105, -1.\nAnswer: -4, -1, 2, 5, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -126.24 and 0.2?\nAnswer: -25.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -346939706*b**5 + 1550187327*b**2 wrt b.\nAnswer: -20816382360*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -1 (b) -3 (c) -0.088\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-230)\/20*118\/(-1357))\/(-2*2\/(-256))\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -26\/25 in 0, -0.4, -2\/7, 13?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 7*u**2 - 2*u - 5. Calculate i(7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/9)\/((-8)\/(-24)). Let a(z) be the second derivative of 0*z**3 + 20*z + 0*z**k + 0 - 5\/6*z**4. Calculate a(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15256*r + 2589*r - 3110*r + 1395*r - 11758*r to the form z*r + n and give z.\nAnswer: -26140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjj. What is prob of sequence jjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + i - 3*i = -136, -4*i + 140 = -4*x. Let h = -28 - x. Let p be (h*(48\/10)\/4)\/(-2). Let v(y) = y**2 + y - 4. Calculate v(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 22*x**2 - x - 2. Is 21 a factor of y(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30855 + -30863. Let a be (-10)\/(-9) + 4\/(-6). Sort 2\/3, m, a in increasing order.\nAnswer: m, a, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3*t. Let q(p) = -p - 13. Let m(g) = -g - 6. Let j(x) = 13*m(x) - 6*q(x). Give b(j(n)).\nAnswer: 21*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/((-2)\/(-4)*2). Let z be d\/(-2) + (-49)\/(-2). Suppose 0*t = 4*t - z. What is the highest common factor of 66 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -701*g + 1407*g - 712*g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**3 - 2*l**2 - 4*l + 4. Let b be g(-4). Calculate the greatest common factor of b and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2*w**4\/5 + 26*w**3\/5 + 654*w**2\/5 - 378*w\/5 - 4860 = 0.\nAnswer: -9, 6, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 4*o + 5*s, 0*s - 43 = 5*o + 3*s. Let p(g) = 3200*g**3 + 5*g**2 - 10 + 3832*g**3 + 2 - 9*g. Let d be p(o). Round d to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 230 divide 7964448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10397987?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 4*m - m - 4, m = 4*a - 4. Suppose -a*t + 4 + 0 = 0. Suppose -6 = t*j - 18. What is the lowest common multiple of 2 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -371*v. Let q(k) = 536*k**2 + 32*k + 32. Let i(r) = 17*r**2 + r + 1. Let s(a) = -32*i(a) + q(a). Determine h(s(m)).\nAnswer: 2968*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2 + 1*(sqrt(2) + 1) + sqrt(242)*1 + sqrt(242) + -2 + sqrt(18)\/(sqrt(576) - sqrt(576)*2))**2.\nAnswer: -549*sqrt(2)\/2 + 33777\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -1590*i**3 - 20*i**2 + 35*i - 55. Let l(c) = -227*c**3 - 3*c**2 + 5*c - 8. Let p(r) = 20*l(r) - 3*o(r). Is p(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3131490157 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilogram in grams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 4:17 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-36)\/(-12))\/(2 + 796\/(-404)). Suppose -q*i + 416 = -49*i. Suppose 0 - 4 = -y. Solve y*v + i*j = 4*j, 5*v + 2*j + 15 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 56*x + 17. Let y(m) = 62*m + 17. Let r(p) = 7*v(p) - 6*y(p). Determine r(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 238*i**6 - i**3 + 87*i**2 - i wrt i.\nAnswer: 28560*i**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 u, and 1 o when three letters picked without replacement from tseusuno.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 9*s = 10. Let l be 1\/s*-1*-18. Suppose -3*u + 225 = 2*u. What is the greatest common factor of l and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o + 0 + 0)*(9239*o**4 - 17*o**2 + 45*o**2 + 975*o**4 - 28*o**2).\nAnswer: 30642*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -10920, -21835, -32770, -43731, -54724, -65755?\n\"Answer: -u**3 - 4*u**2 - 10896*u - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a milligram in micrograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -311*d = -380*d - 897 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 485421 less than 0.493411?\nAnswer: -485420.506589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 7. Suppose -s = -l*s - 63. Let k = 23 + s. Solve k*j - 6 - 2 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(10 + -2)*-16)\/(-2). Let u be (-7)\/(-2) - 2\/l. Let j(y) = y + 6. Let x be j(-5). What is the nearest to 0.1 in x, 12, u?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -z - 23, z + s - 9 = -z. Let r = -5 + 7. Suppose 2*t + 3*t - 25 = 0, -65 = -5*f + 3*t. Solve -r = z*k, -4*p - 4*k + 0*k = -f for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*g*v - 507487*g - 50562*v - 13 wrt g.\nAnswer: -2*v - 507487","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 3*q**2 - 3*q - 1. Let m be u(4). Let s(n) = n - 6*n - n**2 + m + 4*n. Give s(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*x + 2*x**2 + 7*x + 21*x**2 + 9*x**2 wrt x.\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -287*x + 4284. What is the least common multiple of v(0) and 12?\nAnswer: 4284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x - 1. Let c(h) = 3*h + 1. Let u(o) = 4*o**2. Let j be 0 + 1 + (1 - 1). Let i be u(j). Calculate i*q(v) + 3*c(v).\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((1 + sqrt(272))*-1 - ((sqrt(153))**2 + -4 - (sqrt(17) + sqrt(17) + 1 + 5)**2)) + 4 + 2 + 5.\nAnswer: -37 + 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/552769 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*r + 56*r - 9 = -49*r - b, 4*r + 2*b - 5 = 3*b - 14 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cp when two letters picked without replacement from {p: 7, y: 1, c: 2, q: 2}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96881.\nAnswer: 19, 5099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 308*w + 841*w + 21831 for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 194 a factor of 574434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 2*h - 24, 2*x + h - 10 = 2. Let v(l) = -l**3 + 6*l**2 + 3*l + 5. What is the units digit of v(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 712779?\nAnswer: 3, 59, 4027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 35\/4 + 2\/8. Let w(k) = -5*k + 6. Let r be w(-6). What is the greatest common factor of r and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 11\/198*-258*(1 + 1 - 533)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -885 - -2614\/3. Calculate the common denominator of h and (27\/(-24))\/9*(94 + -1).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8947371 and 3.\nAnswer: 26842113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29160 = 35*i + i. Is -809 at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vxy when three letters picked without replacement from vvvvvvyllyvdvyyvxv.\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3754 + -3754. What is the biggest value in 1, f, -2, 2\/87?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of -m**6\/30 - m**5\/30 - 2*m**2. What is the third derivative of j(b) wrt b?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -58 from -678.492716.\nAnswer: -620.492716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2722 - -2725. Solve -9 = -3*v, 2*m - 4*m = a*v - 1 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 7*l**3 - 575*l**2 - 2483*l + 13. Let q(x) = 3*x**3 - 192*x**2 - 829*x + 5. Let c(n) = 3*p(n) - 8*q(n). What is the second derivative of c(b) wrt b?\nAnswer: -18*b - 378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*r**4 - 6*r**2 - 4*r + 4*r + 39*r**4 wrt r.\nAnswer: 1008*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of 43*n**5\/10 - 95*n**3 + n**2 + 691*n. What is the second derivative of u(y) wrt y?\nAnswer: 516*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 326?\nAnswer: 978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 6*p**2 - p + 4. Suppose 44 = -4*j + 5*n, 0*n = -5*j - 2*n - 22. Let c be o(j). Suppose -3*l = -l + c. Let g(f) = -f - 1. Calculate g(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**2 + 3*z**3 - 9*z**3 - 46 + 8*z**3 + 2 - z as s*z**3 + q*z**2 + f + r*z and give f.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 0)\/(1 + -2). Is (-54 - u)*(2 - 3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 20*c**2 - 67*c - 44. Let p(s) = 7*s**2 - 23*s - 14. Let i(n) = -17*p(n) + 6*u(n). Factor i(j).\nAnswer: (j - 13)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 + 5 + (3 - 4) and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5.5658 and -282.96265?\nAnswer: 288.52845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1104500 - 386424 = 152*i - 308836. What is the thousands digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that d**2\/7 - 858297*d\/7 - 76396354\/7 = 0.\nAnswer: -89, 858386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5 - -4)*(-72)\/4. Suppose 242 = 5*a - o. Suppose -2*b = q - a, -5*q + q + 190 = 2*b. List the prime factors of q.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + t = 5*h - 369, 2*h = -t + 144. List the prime factors of h.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4240*s - 2121*s = 2124*s - 215 for s.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 111 = 3*u + 510, a = -4*u - 509. Calculate the common denominator of -107\/42 and (548\/510)\/(u\/160).\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c - 7. Does 9 divide z(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/2))**(-1\/58)\/(y**(-1\/3)*(y*y\/(y**(-8)\/y))\/y))\/((y\/y**(-5))\/(y**(1\/4)\/y)*(y**5\/y)\/y*y*y*y**4) assuming y is positive.\nAnswer: y**(-2212\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-47 + 11 + 9)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of (-187)\/(-1) - (11 + -8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -53.\nAnswer: -8\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 17, 0.08, -2\/23, -1?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 376 in 4, -0.2, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.26335 + -0.3041. What is n rounded to 3 dps?\nAnswer: -0.041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**4 - 522*z**3 - 531*z**2 + 1050*z.\nAnswer: 3*z*(z - 175)*(z - 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t + 63*t**3 + 3*t + 39*t**3 - 7*t**3 in the form g*t**3 + m + b*t**2 + v*t and give g.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(38)\/sqrt(2) + 0 + sqrt(2736) + ((sqrt(76)*-1 - sqrt(19))*5)**2.\nAnswer: 13*sqrt(19) + 4274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -10009, -80076, -270273, -640672, -1251345, -2162364, -3433801, -5125728?\n\"Answer: -10012*x**3 + 7*x**2 - 4*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.0405, -0.2, 4\/7, -0.3?\nAnswer: 0.0405","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011110000000101011 (base 2) in base 10?\nAnswer: 385067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 234 and 1225008486?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 155 and 483910.\nAnswer: 483910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from faafaaaffaaffafaff. Give prob of picking 4 a.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2809733206 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 79 + 16 = 0. Suppose f*j + 3157 = 26*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-34)\/(-85))\/((-11)\/(-10) - 1). Solve t + 4 = -2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 0*m - 18 + 4*m - 2*m + 49. Suppose -z - 4*x + 5 = 0, -4*z + 47 = -9*z + 4*x. Does 7 divide b(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (15 + -13)\/(4\/2). Suppose 2*y - i - 3 = 0. Solve -3*z - y*l - 4 = -15, 5*z - 14 = l for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3302 (base 5) in base 9?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - 10*a**2 + 29*a + 295. Let g be d(-10). Let z = -150\/13 + 1603\/104. Is z greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 - 1010001?\nAnswer: -1001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t - 86. Determine s(16).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -861*b**3*i**2 + 1124*b**3*i + 10*b**3 - 3*b*i - 1855591*i**2 wrt b.\nAnswer: -5166*b*i**2 + 6744*b*i + 60*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1013420 (base 6) to base 9\nAnswer: 73783","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -8?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -109, -1\/4, -2, 4, -16, 609?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -8*o - 109. Let v be q(-15). Let x = -2 - -2. Suppose v*z + 10 - 32 = x. Solve 5*p - z*k + 4 = -0*p, 3*k = -9 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-122)\/(-8) + (-1)\/4. Solve 0 = -5*w - 3*h - f, h + 5 = 3*w - 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pkkpppp. What is prob of picking 2 p and 1 k?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*w**2 - 208*w**2 - 74*w**2 - 64*w**2 - 51*w**2 to the form i + x*w**2 + t*w and give x.\nAnswer: -389","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -5. Let q(d) = -w - 4 + 3*d**2 + d**2 + 1. Let h(u) = 2*u**2 - 2. Calculate 5*h(g) - 2*q(g).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -1036275*t. Let i(l) = -26*l**2 - l. Give f(i(c)).\nAnswer: 26943150*c**2 + 1036275*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.0846 - 1074.9154. Sort 0, -4, t in descending order.\nAnswer: 0, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 52*v + 1774. Give w(-34).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**3 + 2*h - 5*h + 3*h.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 23*h + 173. Calculate c(31).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 75014249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -0.119504067?\nAnswer: -0.119504067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 651*x**2 - 124*x - 124. Let s(g) = -26*g**2 + 5*g + 5. Let r(k) = 5*d(k) + 124*s(k). Let m(j) = 2*j**2. What is m(r(c))?\nAnswer: 1922*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -158d3 (base 15) in base 6?\nAnswer: -1253430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-73 + 59 - (0 - 7)) + -13 + -42 - -13\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 410*r - 10712. Give z(26).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 4*p**2 - 813775400*p + 41389400102822500 = 0.\nAnswer: 101721925","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 2\/(36\/450)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 117 and 14961456?\nAnswer: 194498928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**2 + 5*h**2 + 3*h**2)*(-3 + 0 + 1) - 11*h**2 - 3*h**2 - 9*h**2.\nAnswer: -33*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26865.014045 - -26865. Round g to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4667039?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*(-4)\/60*66)\/((56\/(-35))\/(-8)).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -14*j**2 - 5*j + 5. Let k be d(-5). Let a be (k\/(-48))\/((-2)\/(-3)). Suppose -a = -5*s + 3*b + 38, -5*s + 5*b = -50. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 7.1, -1953\/2 in decreasing order.\nAnswer: 7.1, 5, 2, -1953\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16087.6cm to nanometers.\nAnswer: 160876000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -23*n + 40. Let c(u) = 42*u - 75. Let s(j) = -6*c(j) - 11*o(j). Let l(z) = 12*z. What is l(s(q))?\nAnswer: 12*q + 120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 6*a**2 + a + 2. Let q be p(-1). Let j(o) = -o**2 - o + 22. Let k be j(-10). Let d = k + 69. What is the greatest common divisor of d and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*r**2 + 19*r**2 - 32*r**2 + 22*r**2 + 21*r**2.\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((16 - 15)\/7)\/((-1)\/(-8)). Factor x - 8\/7*m + 2\/7*m**2.\nAnswer: 2*(m - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-22542)\/680)\/(-51))\/((-650)\/(-400)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m**2 - 9*m + 3. Calculate s(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of -1651*a**7\/70 - a**6\/60 - 1321*a**3\/3 - 28*a**2 - 91*a. What is the first derivative of h(k) wrt k?\nAnswer: -19812*k**3 - 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*a + a + 4*a)*(-a**3 - a**3 + 4*a**3)*(-3 + 5 - 3).\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -52 - -67 - (0 + (8 - 13)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + 25*t + 16. Calculate the remainder when 60 is divided by y(-25).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 17, x: 1}. Give prob of picking 2 j.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 101014222?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 21. Suppose -3*z + 2*z + 4 = 0. Let p = 124 + -120. Solve -c - m = 4*u, 0 = 5*u - 8*c + z*c + p for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + x - 2. Let g be h(1). Is g - 27\/(-12)*-2*-190 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**5)\/w)**(25\/4) assuming w is positive.\nAnswer: w**(-125\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-61400)\/(-614))\/(20\/3).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*c - 23 + 24 + c)*(10 - 35 - 21) to x + t*c and give t.\nAnswer: -460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 91*h + 1214. Let p be b(-13). Solve p*w - 33*w = 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (130\/338)\/((-2)\/(-26)). Let p = 7\/6 + -1\/2. What is the biggest value in -0.4, p, j, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.08 and -1659?\nAnswer: -132.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*o = -4*w + 81*o + 13, -o = -5*w + 38. Let p(k) = 3*k**2 - 2*k. Let u be p(2). Let r = u - -1. Calculate the least common multiple of w and r.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 331 = 467. Is q a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2024669?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11348 + -79308\/7. Let m = h + -626\/35. Which is the closest to m? (a) -0.6 (b) -1\/5 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + s**2. Let q(i) = -12*i**3 - 5*i**2 + 12. Let d(c) = -5*m(c) - q(c). What is the first derivative of d(k) wrt k?\nAnswer: 51*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 6*l**4 + 22954*l**3 + 516694*l**2 - 1954586*l + 593268 = 0?\nAnswer: -3803, -26, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 3*v**4\/2 + 165*v**3\/2 + 159*v**2\/2 - 165*v\/2 - 81 = 0?\nAnswer: -54, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 117511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1797300 a multiple of 1008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2*w - 140 = 2*m, 3*w + 4*m = -416. Let z be 6\/(-134)*(-29606)\/w. Let q = z + -3\/1139. Calculate the common denominator of 45\/4 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28*g**2 - 262*g**2 + 323*g**2 + 124*g + (3*g - 4*g + 0*g)*(-2 + 2 - 2*g).\nAnswer: 35*g**2 + 124*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-5 - 0) + 15 + 3114?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/(-3)*(31408\/(-453))\/104?\nAnswer: 64\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 38874 - -70.94?\nAnswer: 38944.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 5*c - 59. What is the remainder when c is divided by (6\/4)\/((-76)\/80 + 1)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -419692769*k*w**2 + 114925*k + 102 wrt w.\nAnswer: -839385538*k*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 9:20 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2524623 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14)\/(-12) - (-13)\/(-78). Let r = 26 - a. Suppose r + 11 = 2*k. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.863 in 4, -33\/5, 1\/3, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 44\/286 - 44\/117\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2030 + 2030.021148. What is r rounded to 4 decimal places?\nAnswer: 0.0211","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -7*b + 770. What is the remainder when t(76) is divided by 67?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3217472210 to the nearest 100000.\nAnswer: 3217500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 3\/26, -2\/17, 9\/5, 1344?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1787343 is divided by 758.\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 38*c**2 + 13*c - 42. What is the tens digit of d(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 8, 4, -2, -2727, 5 in ascending order.\nAnswer: -2727, -3, -2, 4, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -276 + 654. Let l = s + -115. Let b = 640 - l. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.13295333 to 3 dps.\nAnswer: 0.133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 658 = 268*m - 315*m for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 + 108. Suppose 4*x - 24 = p + 3, -4*p = 2*x + a. Let z = p - -27. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87529 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 210 - -452566?\nAnswer: 452776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 5*s**2 + 3*s - 3. Let l(r) = -r**3 + 6*r**2 - 2*r + 9. Let b be l(6). Does 11 divide j(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 m when four letters picked without replacement from dmdddmdmmmddmdmmmdmm?\nAnswer: 132\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/9, -2, -0.4 in decreasing order.\nAnswer: -1\/9, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 5*y + 5. Let o(c) = -5*c - 6. Let x(s) = 6*o(s) + 7*w(s). Let u(l) = -5*l + 3*l + l. Let t(i) = -2*i + 3. Let g be t(2). Give g*x(z) - 4*u(z).\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a**2 + 0*a**2 - a**3 - 2*a**3 + 2*a**3 + 2*a**3 + (-6 - 13 + 2)*(-2*a**3 - 2*a**3 + 6*a**3) to k*a + o*a**3 + g + r*a**2 and give o.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*f - n - 20422 = -26*f, -6803 = -f - 4*n. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*((-285)\/(-57) + (-186)\/37). Let z be (64\/12)\/((-1)\/(-3)). Let l be (-10)\/6 + z\/24. Do c and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -108*s**3*z - 2*s**2*z**2 + 2*s**2*z + 28*s + 3*z**2 wrt s?\nAnswer: -648*s*z - 4*z**2 + 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, o: 3, f: 5, u: 6}. What is prob of picking 2 u, 1 f, and 1 z?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - w + 5. Let u = -395 - -391. Calculate h(u).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 155\/7 - 22. Let f = -0.05 - -13.05. Let d = 18 - f. Which is the second biggest value? (a) k (b) 1\/12 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -16*k + 12*k + 18, -5*r + 2*k = -21. Let f(c) = 2*c**2 - 7*c. Determine f(r).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w - 3. Let m(r) = -r - 2. Let c be (-36)\/24*(-12)\/9. Determine c*g(y) - 5*m(y).\nAnswer: y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -5. Let u be (4*1)\/((-4)\/(-2)). Suppose 4*m = -w + 37, -2*m + 6 = 4*w - u. Solve -2*o - r*o = -m for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132574805 is divided by 68585?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29911 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x + 1. Let v(m) = 7*m + 4. Suppose 16 = -4*q - 4*u, 0*q = -3*q - 4*u - 15. Let f(o) = q*v(o) + 4*k(o). Let l(j) = -j**2. Determine l(f(h)).\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3*l = 2*l - 7, -2*l - 10 = 0. Let x(m) be the first derivative of 1\/2*m**2 + 0*m - u. Let v(i) = 2*i. Give v(x(q)).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -398 - 29043?\nAnswer: -293db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1115591316 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34738?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 1)*(-74 - 10*h + 175 - 60) to the form c + o*h and give o.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15\/6*2\/1. Let z(u) = 2 + d*u - u + 3*u + u. List the prime factors of z(3).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 17*a + 4. Let h(p) = 12*p + 3. Let f(m) = 4*m + 1. Let q(g) = -7*f(g) + 2*h(g). Determine 2*b(x) + 9*q(x).\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -7*y**3 + 42*y**2 + 12*y + 6. Give w(6).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 65 - 33. Suppose 4*o - 2*o - 3*h = -31, 2*o = 4*h - m. Let b be 4\/o + (-185)\/(-35). Calculate the greatest common divisor of b and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 43*k**2 - 121*k - 2960. What is the units digit of g(-39)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -936 - -974. Suppose -s*d = -42*d + 8140. Round d to the nearest one hundred.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 10*h**2 + 14*h + 39. Let j be i(-11). Suppose 53 = j*d - 55. Suppose 4*o = 28 - 4. Calculate the greatest common factor of d and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -7*w**3 - 132*w**2 + 19*w + 4. What is the smallest common multiple of j(-19) and 218?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(3645) + sqrt(3645) + sqrt(45) + 3*sqrt(720))\/(((sqrt(2592)*2 - sqrt(2592)) + sqrt(18))\/(-3*sqrt(4)\/sqrt(2))).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*h + 1 + 6 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14\/3*j**3 + 0 - 8*j**2 + 8\/3*j.\nAnswer: -2*j*(j + 2)*(7*j - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 110 and 1633335?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 2, -5, 10, -0.67 in decreasing order.\nAnswer: 10, 6, 2, -0.67, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.202, -1, 10321?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o. Let r be m(6). Put 4, 1, r, 0 in descending order.\nAnswer: 4, 1, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26000588 divided by -23594\nAnswer: 1102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + 2*(sqrt(294) - (sqrt(294)*-5 + sqrt(294)))\/(-3*sqrt(20)\/sqrt(10) - sqrt(2))).\nAnswer: -105*sqrt(3) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -916 times -39?\nAnswer: 35724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 30691985761 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3039, -6269, -9245, -11967, -14435, -16649, -18609?\nAnswer: -20315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 4*r - 20, p - 5*r = -5 + 1. Let f be p\/8 + 29\/2. What are the prime factors of 150\/f + (-4)\/(-14)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8617*j**2 + 4*j - 16*j + 12*j - j + (-2*j**2 - 2 + 2)*(-3 + 1 - 1).\nAnswer: -8611*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-8))\/(((-6)\/216)\/(52\/130)).\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 878*y = 865*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8886, -8885, -8884, -8883, -8882?\n\"Answer: r - 8887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d\/(d**8\/d))*d*d*d**(2\/7))\/((d*d\/(d*d\/d**(-2\/23)))\/(d\/(d**(8\/5)\/d))) assuming d is positive.\nAnswer: d**(8672\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1046 is divided by 175?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4705 + -4704.9. Which is greater: j or -198?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 0 + 0\/(-1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of 416*z**3 - 61. Let f(c) = -2*c**2. Give u(f(l)).\nAnswer: 4992*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -120 - -136. Suppose 4*t + 3*b - 24 = b, -5*t + f = -b. Solve 1 - 5 = t*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -54863 to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (172\/(-52) + 3)*(76 + -45)\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8*(-1)\/1*-6. Suppose -i + 5*k - 31 = 0, 0 = 3*i + 4*k - 8*k - 28. Calculate the greatest common divisor of i and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006616 rounded to 5 dps?\nAnswer: 0.00066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 89834*q - 777606 wrt q.\nAnswer: 89834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((2 + sqrt(19) + 0)*6 - sqrt(152)\/((3*sqrt(64) + sqrt(64))\/sqrt(8))))**2.\nAnswer: 138*sqrt(19) + 12355\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-300)\/9*((-2952)\/(-30))\/(-82)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -51252, -102499, -153736, -204963, -256180, -307387, -358584?\n\"Answer: 5*w**2 - 51262*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 0*g**2 + 2*g**2 + g**2. Let t(k) = -9*k**2 - 33*k + 99. Let p(y) = -y**2 - 4*y + 12. Let h(q) = 33*p(q) - 4*t(q). Calculate n(h(u)).\nAnswer: 27*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 6:54 PM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4432, -8876, -13336, -17812, -22304?\n\"Answer: -8*w**2 - 4420*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.4, 19, 1.6, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4 + 1)*(1049 - 1049 - 73*a) to the form y*a + q and give y.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/2 - 217*o**2\/6 - 184*o\/3 - 74\/3.\nAnswer: (o - 74)*(o + 1)*(3*o + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 937*m**3*p*w**3 - 5*m**3*w**3 - 7*m**3 - m**2*w + p*w**3 wrt p?\nAnswer: 937*m**3*w**3 + w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -18*d**2 - 2008*d - 36119. What is v(-89)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + -3 + 196 - -2. Let j = w - 195. Which is the biggest value? (a) j (b) -5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 69 - 29. Does 9 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25606 and 189?\nAnswer: 691362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -94?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(600\/1190) + (-4)\/12)*125. Solve 7*s - 922 = -v for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -4*x**3 - 5*x**2 - 11*x - 5. Let j be v(-1). Put j, -3, -155 in decreasing order.\nAnswer: j, -3, -155","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 2270.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j - 2. Let n be ((-24)\/10)\/(14\/(-35)). Let g be (-1)\/n - 14\/(-12). Let i(u) = u**2 + u. Calculate g*l(o) - 2*i(o).\nAnswer: -2*o**2 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n + 1. Let f(x) = -x**2 + x - 1. Let o be f(1). Let b be p(o). Is 14 a factor of 1 + 17\/(1 + b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -12*a**2 + 5397*a + 27214. Determine w(-5).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 21 (b) -95\/3 (c) -1\/10 (d) -17 (e) -3 (f) 4 (g) 1\/5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6317356 divided by 1579339.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 68 by 34.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = u - 30. Suppose -3*c - 166*d = -170*d - 200, 3*c = 11*d + 277. Calculate the least common multiple of u and c.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2 + 582744*n - 21224410596.\nAnswer: -4*(n - 72843)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -147 - -176. Which is bigger: 3\/5 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 492525267 to the nearest integer?\nAnswer: 790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j + 115*j + 453 - 9 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34*m**2*r + 43151*m**2 - 187*m*r**4 wrt r.\nAnswer: 34*m**2 - 748*m*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t + 10. Let c be u(-8). Factor 80 + 8*p**c - 15*p**2 + 12*p**2 - 40*p.\nAnswer: 5*(p - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 1, 7.5, 0.1, 311?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 10423, 10424, 10425, 10426, 10427, 10428?\n\"Answer: g + 10422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 + -3.9. Let y be (-48)\/990 + 4\/(-30). What is the second smallest value in y, 2\/3, m?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-9))\/(10\/(-15)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 11:28 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41 - -36. Put 1, k, -9 in increasing order.\nAnswer: -9, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 9*r + 12. What is z(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-1) + 1 + 3. Suppose 3*c = -c + 12. Solve 3 = c*v - z for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10822439*g**3 + 135025*g - 18.\nAnswer: -64934634*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 11*u - 1. Suppose 8*o = -3 + 11. Calculate the remainder when g(o) is divided by ((-3)\/2)\/(6\/(-16)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 15*a + 30. Let l be p(12). Let y(v) = v**2 + 7*v + 10. Determine y(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 125 + -126 + -5 + (2 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 11*p**3 + 3*p**2. Let n(m) = 34*m**3 + 8*m**2. Let l(a) = -26*a - 289. Let j be l(-11). What is j*n(q) + 8*y(q)?\nAnswer: -14*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/3)*o)**32\/(o**(-2))**(-14))**(-3\/2) assuming o is positive.\nAnswer: o**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -12417*j**2 - 1216863*j + 295. What is n(-98)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -408 + 666. Let w(a) = 21*a**3 - 73*a**2 + 66*a + 6. What is the remainder when k is divided by w(1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 10:54 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3415 by -5.\nAnswer: -683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/186, -63.2, -11\/5?\nAnswer: 1\/186","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 287, 437, 433, 203, -325, -1223?\n\"Answer: -12*f**3 - 5*f**2 + 249*f + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -309.3 + 1.\nAnswer: -308.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33\/97 - -2689\/776. Let k be 26\/(-10) - 51\/(-85). Find the common denominator of (-3)\/k*109\/(-33) and r.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1599\/(-1716) + (-4 - 38\/(-8)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13322 is divided by 111?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of -k**9\/84 + k**5\/20 + 6*k**2. Find the third derivative of m(x) wrt x.\nAnswer: -720*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 206 * 4.725.\nAnswer: 973.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/12)\/((-12)\/(-16)). Let c(n) be the first derivative of n - 2 + 0*n**2 - l*n**3. What is the derivative of c(m) wrt m?\nAnswer: -2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 9}. What is prob of sequence iiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 28, 266, 918, 2194, 4304, 7458?\n\"Answer: 35*y**3 - 3*y**2 + 2*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16719, -16717, -16715?\nAnswer: -16713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -682 + 3564 + 2543 = 175*s for s.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 9:34 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 704161 to the power of 1\/3, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 8, u: 4, e: 2}. Give prob of picking 1 y and 1 e.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -40040872 divided by 20020436?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 9:42 AM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (21*v**2 + 22*v**2 + 5*v**2 + (5 + v - 2 + v)*(-5*v + 2*v + 0*v))*(136 + 44*v - 136) as d*v**3 + q*v + c + u*v**2 and give d.\nAnswer: 1848","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 252*f**2 - 12328*f - 3425. Determine s(-66).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -1600*c + 2581. Give j(2).\nAnswer: -619","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 4409253?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -212172 rounded to the nearest 10000?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 728743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 65704619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 20*j**2 - 23*j + 43. Let m be d(21). Let w be (2*m)\/((-38)\/(-57)). Solve 0 = -w*k + 7 - 10 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 4. Let r = x + -5. Let z(u) = -6*u - r + u + 1. Let q(d) = -d. Give q(z(l)).\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y**2 + 494209*y - 288516*y + 91594*y + 607734*y.\nAnswer: 4*y**2 + 905021*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/32 of a milligram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -110, -157, -102, 103, 506?\nAnswer: 1155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of x**6\/420 - x**5\/140 - x**4\/84 - 6*x**2 + 9*x. Let h(i) be the first derivative of w(i). Factor h(m).\nAnswer: m*(m - 2)*(2*m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -1, -388955?\nAnswer: -388955","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5107 + 2*a - 5*a**3 + 4*a**3 + 3*a**3 + 272.\nAnswer: 2*a**3 + 2*a + 5379","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1926270 to the power of 1\/2, to the nearest integer?\nAnswer: 1388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71, -103, -135, -167, -199?\nAnswer: -231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 127?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*j**3 - 35*j + 1082.\nAnswer: -51*j**2 - 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116250064 divided by 17962.\nAnswer: 6472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-42)\/(-8) + 2\/(-8). Suppose k*l = 4 + 21. Suppose 0 = 2*c + l*r - 17, -2*r + 10 = c + 1. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1077, 1075, 1085, 1113, 1165?\nAnswer: 1247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 8 + -32 + 3 + 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*j + 3 = -2*j, -4*u - j = -12. Differentiate 0 - u*c**3 + 3 - c**3 wrt c.\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4373214 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 8*n**2 + 24*n - 7. What is h(-5)?\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/12*6 - (-7 + -1 - 2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 27*u - 6. Let w be y(6). Does 25 divide (-3)\/(4\/(w\/(-3)))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, -5, -55.5 in ascending order.\nAnswer: -55.5, -5, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**3 - 10*q**2 - 17*q - 4. List the prime factors of m(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -57, -199, -499, -1035, -1885, -3127?\n\"Answer: -13*p**3 - p**2 - 48*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d**2. Let a(m) be the first derivative of -10*m + 6 + 1\/3*m**3 + 0*m**2. Let n(c) be the first derivative of a(c). Calculate n(y(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of 49*u**3\/6 + 2*u**2 + 2*u + 54. Let p(b) = 3*b**2. Calculate p(i(s)).\nAnswer: 7203*s**2 + 1176*s + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of x**5\/20 - 5*x**4\/12 + 5*x**3\/6 + 26*x. Let z be t(4). Solve 1 = z*j - 7 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 552657787 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 215.648 - 2.448. Let s = h + -214. What is the third smallest value in s, 0.3, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/(-115)*15\/1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -13*d + 351. Let x be f(27). Let t(g) be the third derivative of 0*g + 0*g**3 + 0 - 1\/30*g**5 + x*g**4 + g**2. Let a(o) = 4*o. Give a(t(n)).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*d = 0. Suppose x = -s - 4*s + 24, -4*x - s + 20 = 0. Suppose -2*u - 10 = -v, 3*v + x*u = 9*u + 25. Is v equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/5)\/i)\/((i**(-7\/4)*i*i)\/i))\/(((i\/(i*i*i**(-1\/10)*i*i))\/i)\/i*i*i*i\/(i\/(i*i**(4\/3)))) assuming i is positive.\nAnswer: i**(43\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/21 + (-30)\/(-14). Let m(c) = -c**2 - 2*c**2 + 15 + 6*c**a - 4 + 10*c - 2*c**3. Is m(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/15 of a hour?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, 0, 4, -35, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.463, -0.06, 1264, -2, -3\/2 in decreasing order.\nAnswer: 1264, -0.06, -0.463, -3\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s - 5*s - 59*s**2 - 72*s**2.\nAnswer: -131*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-344)\/(-430)*((-3)\/1)\/12*6?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of 37*r**4\/24 - 3*r**3\/2 + 9*r**2. Let w be b(4). Suppose 249 + w = 4*d. What are the prime factors of d?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 833199, 3332737, 7498611, 13330827, 20829391?\n\"Answer: l**3 + 833162*l**2 + 45*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 955, 935, 875, 775, 635, 455, 235?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 11*j**2 - j + 13. Let t be x(11). Solve 5*i - 3*u - 21 + 5 = 0, 0 = t*i + u - 13 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -o**4\/30 - 151*o**3\/15 + 152*o**2\/5 + 3*o - 91. Find u such that r(u) = 0.\nAnswer: -152, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 - (-51)\/(1122\/(-1364))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.9 - -0.9. Let q = -1.8 - b. Is -0.07 less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 1263\/4*s - 3\/4*s**2 - 315 = 0.\nAnswer: 1, 420","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -689*t**2 + t - 834 wrt t?\nAnswer: -1378*t + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 258403 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: 227\/(-454)*(-5)\/((-125)\/40)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a - 23 + 2 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -2*u + 10. Let r(d) = 3*d - 3. Suppose y - 21 = -5. What is the lowest common multiple of y and r(u)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 4*g + 2. Let m be -5 - -32 - (-3 + -1). Let v = m + -35. Let p be 6\/(-3) + (-4)\/v. Let j(y) = y. Calculate p*x(u) + 6*j(u).\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 7439 = -a + 7440, 5*a - 3*d + 5 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 17*h**2 + 1. Let l be ((-4)\/6)\/((-7)\/3 + 3). Let v(x) = -x**2 + 1. What is l*v(r) + i(r)?\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 + 4 = -2*j. What are the prime factors of j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (476*h**3 + 146*h**3 - 266*h**3)*(18*h + 8*h + 2*h - 2*h - 3*h) as j*h**4 + n + s*h**2 + x*h + u*h**3 and give j.\nAnswer: 8188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -4609*t - 188. Is l(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 15 = 0, x - 2*v = 4 + 4. Suppose 3*k - 2*i = 31, k - 5*i - 8 = -x*i. Suppose -2*h - 3*h = 0. Solve h = -4*p + 3 - k for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 6*r. Suppose 0 = -5*z + 2*d - 5, -3*z - 8 = -2*d - 5. Let u be z*(-14)\/49*-7. What is x(u)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 579 + -577. Calculate the remainder when 130 is divided by (3168\/(-120))\/(n\/(-5)).\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4723 is divided by 784?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 b when two letters picked without replacement from {b: 10, z: 2, s: 1, u: 7}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + 9*z - 4. Let o(f) = -f. Let m(g) = -i(g) - 4*o(g). Let d be m(-5). Suppose -2*w - d = -3*w. Solve 4*y + r = 12, -w*r - 12 = 2*y - y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.028 + -8342.245.\nAnswer: -8342.273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + q + 0*q + 12*q**2. Let w = -394 + 407. What is the remainder when t(-2) is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*x + x + 2*x)*((2*x + x - x)*(5 - 2 - 4) + 25*x + 28*x - 62*x) + 8*x**2 + 13*x**2 + 12*x**2 in the form a*x + n + i*x**2 and give i.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 510 and 3162?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1133*l**3 - 6*l**2 + 75109*l?\nAnswer: 6798*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3 + 9326*u**2 + 579724*u + 570400.\nAnswer: 2*(u + 1)*(u + 62)*(u + 4600)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**2 - 16*r**2 + 26*r**2.\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -71, 0, -1, -760, 2, 6 in ascending order.\nAnswer: -760, -71, -1, 0, 1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of t**5\/20 + t**4\/3 + t**2 + 2*t. Let i be k(-4). Suppose -3*n = 4*v - 357, 3*n + 0*v - i*v = 357. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirteen quarters of a tonne?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 12 = -3*x. Let s = 89 + x. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 998 is divided by 848?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.228, 3.6, -0.6771 in ascending order.\nAnswer: -0.6771, 0.228, 3.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((0\/(-3))\/(-4))\/(-2). Let f = b - -21. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -128503681 divided by 6.\nAnswer: -128503681\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -170*i**2 - i. Let o(w) = 169*w**2 + w. Calculate -5*o(g) - 4*s(g).\nAnswer: -165*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*k - 26*k + 156. Let j = -43 - -76. Calculate the least common multiple of k and j.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (0 + -1 + 6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 61713816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of -11\/24*j**6 + 0*j**4 + 0 - 3\/5*j**5 + 61*j**2 + 0*j + 0*j**3. Find the third derivative of n(t) wrt t.\nAnswer: -330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15421 (base 6) in base 16?\nAnswer: 9e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104248164?\nAnswer: 2, 3, 31, 71, 3947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 12*j**2 - 11*j + 3. Let q be r(11). Suppose -q*p + y + 56 = 0, 2*p - 4*y + 5 = 39. List the prime factors of p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38243981\/8268 - -5113\/9646. Let b = u + 4626. What is the common denominator of 23\/21 and b?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -485*h**3 + 377 wrt h.\nAnswer: -1455*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -35 (b) 1\/2 (c) 49 (d) -1.88\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102 - 10447.\nAnswer: -10345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 374 + 2820. Let h = 2736 + -4537. Let l = w + h. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 18 = 3*a - 6, 0 = 2*t - 3*a. Let k(r) = -r**3 - 15*r**2 + 35*r + 39. What is the lowest common multiple of t and k(-17)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -22, 10, -30.\nAnswer: -30, -22, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-132)\/44)\/((-6)\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 49.6 (b) 2.299 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**2 + 2*y**3 + 2 + 2 - 10 to the form f*y**3 + n*y + w*y**2 + r and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3499*t - 24560. What is o(7)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101101 - -100?\nAnswer: 101201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - x = -77, -5*j + 2*x + x + 220 = 0. What is the remainder when j is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1004 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9, -0.295, 1\/4, 332?\nAnswer: 332","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -180.95 rounded to the nearest ten?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/(-6) + (-1)\/3. Let l be (-6)\/((30\/(-4))\/5). Suppose 2*s - 16 = -l*z, -5*s = -k*z - 0*z - 40. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11078*p - 325*p - 365602 for p.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 54*b + 12 + 12.\nAnswer: 54*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 64934 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -1, 8, 21?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 443550*u**2 - 322726*u wrt u?\nAnswer: 887100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 0.03109.\nAnswer: -0.012436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14*(15\/6)\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100110000110 - 1110101100?\nAnswer: 1010111011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 7912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1846 a factor of 60218366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-6)\/(-2) - -25873) + (-21 - -22 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h + 1. Let m be v(6). Which is the smallest value? (a) 2\/5 (b) -3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*u + 16600 = -278*u + 41*u - 228*u for u.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -r**7\/21 - r**6\/30 - 5*r**4\/4 + 40*r. What is the third derivative of j(d) wrt d?\nAnswer: -120*d**2 - 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -25*y**3 + 4*y**2 - 3. Let x be s(1). Let n be (-342)\/x + 18\/24. Solve n - 7 = -4*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -616, -334, 420, 1880, 4280?\n\"Answer: 39*n**3 + 2*n**2 + 3*n - 660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/9 and 137\/52218.\nAnswer: 52218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -6*m**2 - 2*m + 1. Suppose -5*y - 4*f + 71 = 0, 0 = -5*y + 10*y - f - 51. Suppose -5*c + 1 = 2*i - y, -5*c = i - 11. Give d(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2)*(-112)\/(-98).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -15\/7 (b) -1\/8 (c) -4 (d) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4482)\/(-18)*(2 + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -759 - 0.15.\nAnswer: -759.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-19)\/f)\/(f**(1\/4)\/f) assuming f is positive.\nAnswer: f**(-77\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o - 171 = 258. Let f = 101 + o. Suppose -88 = -f*s + 58*s. Calculate the remainder when 41 is divided by s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t. Suppose 8 + 2 = 5*h. Let r(q) = -q**2 - 3*q**h - 2*q**2. What is f(r(k))?\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 148*p**2 + 655*p - 11521. Is r(18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 14\/3, -1561, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7559683?\nAnswer: 7559683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-3))**(-44))**7\/((l**(1\/4))**(16\/7)*l**(-2)*l*l\/l**(-7\/3)) assuming l is positive.\nAnswer: l**(19343\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/(-2)*6\/(-3). Suppose -q = n - 3, 0 = 4*q - p - 15. Is (95\/(-35) + 1)\/(n\/154) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -62267\/16 or -3892?\nAnswer: -3892","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1061 - 0.08\nAnswer: 1060.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2011 = -63*s - 243 + 1067. What is the remainder when 953 is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10522389 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 644684 to the power of 1\/2, to the nearest integer?\nAnswer: 803","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 114 = -3*d - 36, 0 = -3*d - 3*b - 162. Let r = 67 + d. Suppose -14 = -r*i + 8*i. Solve 0 = -i*p - 0*p + 10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 + 34. What is the remainder when 59 is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-196)\/21)\/((-2)\/3). What are the prime factors of 192\/f + 4\/14?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - 71 = -1443. Suppose 0*g = 4*g - x. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 86 + 2821?\nAnswer: 28a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 0, -54, 70, -5, -15 in descending order.\nAnswer: 70, 23, 0, -5, -15, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235859 is divided by 319.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 3701*i - 3705*i - 36 = 0, 0 = -o + i + 2 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 + 19*n - 80. Let b be 2 - 3 - (-5 + -1). Suppose 7 = 3*r - b. What is the smallest common multiple of r and h(9)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7474, -6, -5, -3, 5.\nAnswer: -6, -5, -3, 5, 7474","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 1884.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18.3579 and -1222?\nAnswer: 22433.3538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - 1\/(-3)*-3. Let m be q + 5 + 48\/(-6). What is the tens digit of 43*1 - 7\/(m - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u**5 - 268*u**4 - 6040*u**3 + 333568*u**2 - 2955264*u = 0. What is u?\nAnswer: -39, 0, 16, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 5*x - 6. Let h(q) = 3*q**2 + 29*q + 4. Let n be h(0). Let g(c) = c - 8*c + 17 - 7*c. What is n*g(u) + 11*f(u)?\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, f: 6, d: 10}. Give prob of picking 1 y and 2 f.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -244 - -228. Let k be b\/48 - 100\/(-12). Solve -7*n = -k*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2904258 to the nearest integer?\nAnswer: 1704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 206 + 332. Suppose l - 546 = -4*x - 2*l, 4*x - g = l. Calculate the greatest common divisor of x and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26070599 divided by 62221\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 25820b5?\nAnswer: -25820b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y - 14. Give v(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*i = -38*i - 350. Which is bigger: i or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*u**3 + 36*u**3 - 23*u**3 + 29*u**3.\nAnswer: 52*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 3 + 1. Let x be (q\/4)\/((-1)\/4). Let o(r) = -1200000*r**3. Let b be o(x). Round b to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2036, -4149, -6264, -8375, -10476, -12561?\nAnswer: -14624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -9. Suppose -3*c + 32 = 5*f, c + 1 = -f + b. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 b when four letters picked without replacement from {b: 11, k: 2, n: 1}?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -50*k - 117. Let r(p) = -51*p - 115. Let t(o) = 5*h(o) - 6*r(o). Let x be t(12). What is the highest common divisor of x and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.4 and -1.62.\nAnswer: 3.888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 87360 divided by 308?\nAnswer: 3120\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 5*f**2)*((4*f + 4*f - 6*f)*(-2 + 0 + 0) + 3 - 3 - f + 22*f + 1502 - 1502) as s*f**2 + a*f + t*f**3 + o and give t.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -0.2 (c) 2\/27 (d) -2\/9 (e) 4799\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5 + -6)\/(1 + 0). Let h be (-254 + (3 - b))*-3160. What is h rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.06478 - 4.00222. Let z = 4 + j. What is z rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by ((-3)\/(-6))\/(4\/184).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 1:23 PM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -z**2\/2 + 7*z + 1. Let u be f(7). Is (0 - 0) + (37 - u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10925825 is divided by 587.\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 14 = 2*q, -5*y = 7*q - 4*q + 11. Suppose 5*p + 2*b = 13, -2 = 3*b - b. Suppose p*a = -28 - 26. Put a, 2, q in descending order.\nAnswer: q, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*w = -138, 0 = -3*z - w + 215 + 189. Does 31 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p**3 + p**2 - p - 1. Let m be w(-1). Let o(z) = -z - 4. Give o(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/34, 0.5, -0.4, -3 in ascending order.\nAnswer: -3, -0.4, 1\/34, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -294?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14889 - -27744. Suppose -6*n - 3*n + w = 0. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6436 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6237 - -11255. Is 28 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5024*u**4 - 2*u**3 - 6*u + 307726?\nAnswer: 20096*u**3 - 6*u**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 385 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1380987.\nAnswer: 3, 153443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 138299421 equal to 138299421?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 0*b**2 - 570 + 570 - 2*b + 2*b**2 - 2*b**3. Let o(d) = 3*d**3 - 3*d**2 + 5*d + 1. Let n(r) = -5*c(r) - 3*o(r). Suppose n(k) = 0. What is k?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4117016 in 0.4, 0.1, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-18) - 104\/(-12). Which is smaller: 38\/5 or t?\nAnswer: 38\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100711 (base 11) to base 4.\nAnswer: -213201312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7416 divided by 1854.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/7 and 74\/81?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -131053254 (base 6) in base 11?\nAnswer: -14a8407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - (0 - -13)) + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - 11*b + 4. Let d be h(-10). Suppose 9*n = 4*n - w + 14, -3*n = -5*w + d. Let u(v) = -5*v + 2. Calculate u(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8279*0.09\nAnswer: 745.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 10 = -4*r, -4*k - 8 = -8*k. Suppose -2*z - 12 = 4*d, -5*z + 2 = 2*d - 0. Let u = r - z. Does u = -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 - 18. List the prime factors of f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1942, 7781, 17514, 31141, 48662, 70077?\nAnswer: 95386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -16*h**2 - 5 + 18 + 11*h**2 - 24*h. Let v be s(12). Is 10\/(-15) - v\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 19945334 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**2 + 43*w - 619. Give n(0).\nAnswer: -619","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -473103?\nAnswer: 473077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qz when two letters picked without replacement from {d: 1, c: 1, v: 1, z: 1, q: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**3\/19 - 168992*v**2\/19 - 3570124968*v\/19 - 14277796128\/19 = 0.\nAnswer: -42246, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1995080803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6*-3)\/((-6)\/3). Suppose 2*j - z = -j + y, -4*z - 20 = -4*j. Suppose 16 = -g + j*g - r, 5*g - 86 = 3*r. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 4*r + 4, -2*l - 3*l = -5*r + 40. Let k be (-2)\/l + (-9)\/(-2). Solve -k*i + i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 931\/(-98) - (-13 + 2). What is the nearest to -3.3 in -2\/7, 4, h?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10415965717 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -7*i**3 - 32*i**2 - 83*i + 33. What is the thousands digit of h(-19)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -27, -34, -41, -48, -55?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44\/682 + (1 - 3854530\/(-155))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 703 less than 373731\/532?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -21455819, -21455823, -21455829, -21455837?\n\"Answer: -v**2 - v - 21455817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = 5*d - 19, 3*d - 475*g = d - 3*d - 479*g - 76 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143542 = -113*t + 141508 for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 34\/5 of a microgram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(2880) + sqrt(2880))\/((sqrt(120) + sqrt(120)*5)\/sqrt(12)))**2 + -4.\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 5 + 4 + (2 + 1 - 5)*(-1 + 3 - 3))*((-1 + 1 + 2*n)*(92 + 72 - 40) - 4 + 4 - n + 2*n + 0 + 0).\nAnswer: 2739*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 3*s**4 - 2*s**3 - 1 - 3*s**2 + 4*s**2 as j*s**2 + v*s**4 + h + c*s**3 + g*s and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 4*f**2 - 4*f - 3. Let u be k(-3). Suppose 4*s + u = 4, -5*o + 28 = 3*s. Solve 0 = -8*i + o*i - 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d**4 + 154042*d**3 + 2*d**2 - 5*d + 430.\nAnswer: -24*d + 924252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*s = 8*s + 66 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 5, -133, 4, 6, -3.\nAnswer: -133, -14, -3, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-32)\/20 + 4\/(-10). Calculate the lowest common multiple of ((-2)\/6)\/(3\/(-18)) and 2 - -2*(-5)\/r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28431170 - 40359170. What is q rounded to the nearest one hundred thousand?\nAnswer: -11900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19845491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2. Let k(u) = 5*u**2 + 4*u - 4. Let b(s) = -54*s**2 - 45*s + 45. Let t(f) = 4*b(f) + 45*k(f). Determine t(i(a)).\nAnswer: 9*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 5 - 5457*h**2 - 400*h**2 + (-3*h + 0*h + 4*h)*(4*h - 3*h - 3*h).\nAnswer: -5859*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -0.4, -0.3, -3, 11.5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {z: 6, i: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is g in g**2\/2 + 4112*g + 8454272 = 0?\nAnswer: -4112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(-1\/3)\/c)**(-22\/5)\/(c**(-1\/11)*c**(3\/2)))**(2\/7) assuming c is positive.\nAnswer: c**(-1433\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -4 (b) -47 (c) -0.027 (d) 47\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -3*q**2\/2 - 15*q + 3. Let b(y) = -2*y - 8. Let d(t) = -5*b(t) + 3*s(t). What is the derivative of d(r) wrt r?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6376 a factor of 20479447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 825?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14489766 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/4416552 and -2\/30861.\nAnswer: 39748968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5836*l + 17309*l - 5847*l - 5626*l - 4*l**2.\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of 0*p**2 + 0*p**5 + 1\/3*p**3 + 0 + 1\/15*p**6 + 4*p + 0*p**4. Find the second derivative of a(x) wrt x.\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -29576*r + 147808. Give s(5).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 + -20 + -1 + 66 + (4 - 6) + -7?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s + 10. Determine d(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 0*o - 2*o - o**2 + 5*o**2 - o**3. Let f be j(2). Solve 5*v - 15 = -5*r, r + f*v - 16 = -4*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/1671 and -119\/2292.\nAnswer: 1276644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 33*(-2 - 24\/(-9)). Suppose 2*v - m = -2*f - 4, 4*v + 28 = 4*f. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2\/79)*u**(4\/3) assuming u is positive.\nAnswer: u**(310\/237)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 3 - 3)*(3 + m - 3) - 10*m - 4 + 11 - 2)*(2*m**3 + 0 + 0) as g*m**4 + t*m + a*m**2 + o*m**3 + j and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a millennium in years?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15714941 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 153?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102121 + 111213?\nAnswer: 3032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 346480679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -284416*b*r**2*z**2 + 16*b*r**2*z + 140*b*r*z**2 + 4872*b*r - b - 10*r - 5*z wrt z?\nAnswer: -568832*b*r**2 + 280*b*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2075744 divided by -94352.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -v - 2*v + 18, -2*v + 7 = m. Let c be (3\/v)\/(2\/10). Suppose -77 = -c*z + 37. Does 38 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 716.78*-0.65\nAnswer: -465.907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - 390 = -m. Let o = m + 46. What is the common denominator of o and 58\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*b**3 + 0 + 0 + 12*b**3 - 43*b**3.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 44 - (-94 - (-19 - 35))\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -5. Suppose -p*x + 12 = -2. Is x a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7549.965ng to milligrams.\nAnswer: 0.007549965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*p + 61*p + 6 = -3*h, -4*p + 2*h = 8. Which is the nearest to p? (a) 1\/3 (b) -1 (c) -1.6 (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-36)*(-12)\/(-11)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**5\/5 + 396*w**4 - 44962*w**3\/5 - 95868*w**2\/5 - 9785*w = 0. Calculate w.\nAnswer: -1, 0, 25, 1957","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1985952445843\/10850 - -183037092. Let j = -3\/350 - u. Does j = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 13*z - 192. Give q(18).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -474 - -471. Which is the fourth smallest value? (a) 2\/11 (b) 0 (c) v (d) 2\/49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 644 = -14*b, -2626*i - 36 = -2631*i + b for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**2\/5 + 4926*w\/5 - 539496\/5 = 0. What is w?\nAnswer: 118, 1524","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 5\/11356?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - p + 4*b = 27, -3*p + 6 = -3*b. Let o = 2.83 - 2.53. Put -0.2, p, o in ascending order.\nAnswer: -0.2, o, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 9 + 6*b + b + 5*b. Let r(l) = -6*l - 4. Let w(k) = 9*k + 6. Let n(f) = -8*r(f) - 5*w(f). Suppose 0 = -5*m + 50 - 5. Determine m*n(t) - 2*c(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 58 - 25. What is the greatest common divisor of r and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 - (91 - 45) - 25*1?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*w**3 + 3 + 57*w**3 + 97*w - 29*w**3 - 10*w to l*w**2 + h*w**3 + o*w + z and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 442 divide 4852404431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 23 - 25. Suppose 5*i - 4*b + 6*b - 21 = 0, 4*i + 2*b = o. Let n = i - 2. What is the greatest common factor of n and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of f**5 + f**4\/4 - 11*f**3\/6 + 12*f. Let v(l) = -7*l**3 - l**2 + 4*l. Give 6*g(n) + 17*v(n).\nAnswer: n**3 + n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1781 = 3*h + 1139. Calculate the remainder when h is divided by 51.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + 29\/4)*24\/6. Find the common denominator of 20\/33 and 1\/(w\/(-217)*1).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y + y - 5*y)*(-3 + 0 + 9)*(y**2 - 24952*y + 14 + 24952*y) to the form k*y**3 + h + q*y**2 + i*y and give k.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 t when three letters picked without replacement from yllywyyqt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108062496.\nAnswer: 2, 3, 37, 10141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31128307, 31128311, 31128317, 31128325, 31128335?\nAnswer: 31128347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + (sqrt(3)*3 - sqrt(3)))**2 + -4 - sqrt(288)\/sqrt(6).\nAnswer: -4*sqrt(3) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 14 = 3*p - 0, 5*p = 5*i - 25 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-5184)\/(-3072))\/(3\/4))\/((156\/(-160))\/(-13))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 88926625*i + 7794333.\nAnswer: 88926625","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39360553\/31152 + -1\/31152. Let w = -1228 + l. Calculate the common denominator of (27\/48)\/(5\/(-12)) and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*x - 134*x + 696 = 0 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8464.049844 + -8464. Let h = -0.05 + q. Round h to 5 decimal places.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 2*s - r, -25 = -2*s - 5*r + 21. What is the lowest common multiple of 6 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2644163282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -4*z + 7, -4*t - 5 - 15 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 554*y + 31544 - 1833 = -92*y - 157*y for y.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 92841320?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -1. Suppose 5*z - c = -4, -2*z - 6*c + 8 = -4*c. Let b = z - -7. Calculate the highest common factor of b and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-600))\/((-12)\/(-9) + (-2106)\/1944)?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 36, 3, -1, -2, 234, 2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/1878 and (-3 - (-441)\/165)\/((-10)\/(-150)).\nAnswer: 20658","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 350619735 to the nearest integer?\nAnswer: 705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1235, -4, 5, 4, 603, 1 in decreasing order.\nAnswer: 1235, 603, 5, 4, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/2154*(-1)\/(-3) - 0. Let l = -12386\/359 + x. Find the common denominator of l and -31\/56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22415?\nAnswer: 5, 4483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 329.3 - 314. Let w = x - -2.1. Round w to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153649 + ((1 - -4) + 4 - 9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 65 - 9 = 0. Let c = 13 - x. Which is bigger: c or 1\/17?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 10:01 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 7750896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m\/((m**(-7\/2)*m)\/m))**(14\/13)*m**16\/(m*(m\/m**(3\/5))\/m*m) assuming m is positive.\nAnswer: m**(108\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 7*c + 383. Let y be j(-51). Solve 7*a = 2 + y for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -748 * 188379\nAnswer: -140907492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 1 - 4 + 4 - 2*x. Calculate the remainder when v(-4) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 24616 = o + 2980. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l**2 + 3*l + 1. Let u(o) = -3*o**2 + 4*o + 1. What is 5*k(d) - 4*u(d)?\nAnswer: -3*d**2 - d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6941?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4\/11 + 12*i**3\/11 - 43*i**2\/11 + 60*i\/11 - 28\/11.\nAnswer: -(i - 7)*(i - 2)**2*(i - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 284446?\nAnswer: 2, 142223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7017)\/(-13500) + (-1)\/2. Let l = g + 1\/125. Let o = -13\/18 - l. Which is the closest to -1? (a) -4 (b) 0.4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 6 = 11 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -5*j**2 - 3*j - 5. Let p(k) = -9*k**2 - 7*k - 10. Let b(h) = 7*f(h) - 4*p(h). Suppose 9*t + 105 = 15. List the prime factors of b(t).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 104318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g + 17 = 160. Is (-13)\/(g\/414) + -3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + -25. What is the nearest to 0 in 0.5, 3, h?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*u = 21585436 + 7393310 + 19142614. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 11*t**2 + 861*t + 60. Let y(g) = -2*g**2 + 172*g + 11. Give -2*l(u) + 11*y(u).\nAnswer: 2*u**3 + 170*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (((-12)\/(-10))\/((-30)\/50))\/(-3)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 793 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**15)\/((t*t\/t**(4\/15))\/t))**(-14\/13))**(-5\/6) assuming t is positive.\nAnswer: t**(1603\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (44\/(-6))\/(-2) - 166\/249. Let h(f) = -4*f + 0*f - k*f - 9*f. Let d(j) = j**2 - 3*j. Let m(b) = -b**2 + b. Let c(a) = d(a) + 3*m(a). Calculate c(h(z)).\nAnswer: -512*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 213?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*u - 27*u = -15*u. Let t = -87 + 954\/11. Which is the biggest value? (a) 2 (b) t (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31891320 divided by -18360.\nAnswer: 1737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 59 + 75 = -4*s, 10 = -3*g - 2*s for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 - 8*p + 1. Let t be o(-6). Let f = t - 15. Let g be 13*4 + f + 3. What is g rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*(v*v*v\/v**(3\/4))\/v*v*v\/v**(-2\/85) assuming v is positive.\nAnswer: v**(1453\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -10 + 0*r**2 - 19\/3*r**4 - 83\/6*r**3 - 2*r. What is the second derivative of h(v) wrt v?\nAnswer: -152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/14)\/((v**(-6)*v*v)\/v))\/((v**(-1)\/v)\/(v\/((v*v**(-8)*v*v)\/v)*v)))\/((v**(-2\/9))**(-41\/3)*v**(-3\/4)\/v*v*v\/(v\/v**(5\/4))) assuming v is positive.\nAnswer: v**(2180\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of 21*s**6\/40 - s**5\/15 - 403*s**4\/24 + 946*s**2. What is the second derivative of p(r) wrt r?\nAnswer: 378*r - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f**5*o**3 + f**4 - f**3*o**3 + 3*f**2*o**3 - 16*f**2*o**2 - f*o**3 wrt f?\nAnswer: 120*f**2*o**3 + 24*f - 6*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 341663 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 12:43 AM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 - 28. Let g = 0 + a. Which is greater: g or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y**2 + 3*y. Suppose -6*l = -3*l - 6. Determine w(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 84968.\nAnswer: 8496.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35732\/20881 + -212\/157. Which is smaller: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232171 a multiple of 245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/9, -249, 1\/6, -0.1, 0.3?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/9*(306\/136)\/((-6)\/(-8)). Solve x - c = 0, y*x + 4 = c + 9 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + (3 - 7))\/(-1). Let d(a) = -5*a - 3. Let s(k) = -k - 1. Let p(o) = h*s(o) + d(o). What is the first derivative of p(n) wrt n?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of l**6\/120 + l**5\/60 + 23*l**3\/3 - 6*l**2. What are the prime factors of n(0)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 30\/18*((-123)\/30 - -4). Which is the third biggest value? (a) t (b) 601 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, m: 9}. Give prob of picking 2 h and 1 m.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a + 11. Let n(z) = -z**3 - 26*z**2 - z - 37. Let r be n(-26). Let l be u(r). Let w be ((-3)\/(-9)*3)\/(-1). Put 5, w, l, 4 in descending order.\nAnswer: 5, 4, l, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 1395 = 2*o, -11*o + 8*o + 2047 = 5*t. What is the remainder when o is divided by 227?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(200)\/(-4*-2*sqrt(4)) + -1*(-1*sqrt(98)*1)**2.\nAnswer: -98 + 5*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v + 9. Let x be i(-8). Let f be (2\/x - 3) + (-18 - -19). Solve 3 + f = -3*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.082? (a) 1\/6 (b) -4 (c) 2 (d) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 + 5. Let k = l - -20. Suppose 5*c + 1 = -5*y - 4, 3*c + k = 0. Solve 4*q - y*q + 8 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 12:45 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 55 = 11*v + 39*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n - 3. Let r(h) = 7 + 0*h + 3*h - h. Calculate 10*f(j) + 4*r(j).\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -49*h + 2. Let f be t(-1). Let j = 13 + -54. Let s = f + j. What is the remainder when s is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 3 - 4)*(1 - 2*n - 1) - 8*n + 0*n - 9*n)*(-1 + 3 + 0 + (3 - 7 + 3)*(0 + 0 + 6) - 4 + 0 + 3) - 2*n - 9 + 9 in the form s + v*n and give v.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1720 + 1719. Which is smaller: p or -664?\nAnswer: -664","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 608507903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**2. Let n(y) = -82*y + 10. Let k(x) = 5371*x - 656. Let u(r) = 5*k(r) + 328*n(r). What is j(u(z))?\nAnswer: -3362*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*v**2 - 7488922*v + 6*v**2 - 11 + 7488862*v)*(-2 - 2 + 6) to the form r*v + t*v**2 + l and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 146*j - 27. Let s be q(-2). Let p = s + 651. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, t: 14}. Give prob of picking 3 v.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of x**9\/560 + 9*x**8\/1120 - x**7\/840 - x**6\/120 + 5*x**4\/2 + 27*x. Let a(b) be the third derivative of f(b). Solve a(v) = 0.\nAnswer: -2, -1\/3, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1018.\nAnswer: 2, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44 + -42. Suppose -4*u - 85 = -w*n + 143, 5*n = u + 588. List the prime factors of n.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = 5*l + i + 11, 0 = -2*l - 4*i - 36. Let r = l - -5. Let s(d) = -d - 7. Let x be s(r). Solve 5*h + x*z + z + 28 = 0, -h - 17 = 4*z for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 60 = i - 9, 4*i = -2*w + 42. Let k(q) = -21*q**2 + 10*q**2 + w*q**2 + 3*q. What is k(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 936 and 1944?\nAnswer: 25272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -r + 13 + 40, 0 = 4*r + 3*i - 144. Suppose -4*w + r = 4*a - 3, -2*w = -5*a + 52. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 253557?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((88\/(-72))\/((-18)\/162))\/(20\/(-8))?\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 7*h**3 + 12*h**2 + 16*h + 4. Let y(k) = k**3 + k + 1. Let a(q) = q**3 - 8*q**2 - 4. Let v be a(8). Let s(t) = v*y(t) + z(t). Factor s(f).\nAnswer: 3*f*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2, 5*f + 68*w = 72*w - 337. Which is smaller: 52 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 251 + 300 - 632 - 11*p + 206. Let y(r) = -r. Give j(y(k)).\nAnswer: 11*k + 125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -100, -211, -322, -433?\nAnswer: -544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-31)\/(-2))\/(4\/8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0524 rounded to four decimal places?\nAnswer: 0.0524","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (172\/927510)\/(2\/18). Which is bigger: n or -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 21*v**3 - 7*v**2 + 16*v + 7. Let b(l) = -7*l**3 + 2*l**2 - 5*l - 2. Determine -7*b(c) - 2*j(c).\nAnswer: 7*c**3 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a + 2*h + 4, -7*a - 2*h = -3*a + 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (35\/(-2))\/(3\/(-12)). Suppose -4*v + 4*u - 104 = -2*v, -3*v = 2*u + 124. Let z = o + v. What is the remainder when 76 is divided by z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r + 4*g, 121*r - g + 1 = 122*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/3)\/(y**(3\/4)\/y)*y**(-2\/5)*y**(-2\/41)*y)**(1\/44) assuming y is positive.\nAnswer: y**(1151\/108240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 9*p + 7. Let o(s) = 5*s + 4. Suppose -7 - 9 = 4*a. Calculate a*d(m) + 7*o(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 1 = 2*w - 0*u, -5*w - 31 = -2*u for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 55.8*0.4\nAnswer: 22.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-5)\/10*26*-3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/166974 and 10\/153.\nAnswer: 500922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187515855 is divided by 638?\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7630*v - q = 7625*v + 29, 33 = 5*v - 2*q for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -2*f, f = q + 3. Let g = q + 4. Let h(l) = l. Let y be h(g). Which is the nearest to 1? (a) 1\/5 (b) y (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 690 and 33.\nAnswer: 7590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*h - 279*h - 37718 = -985 for h.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 565 is divided by 158?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jvjhyvijhigi. What is prob of picking 1 h and 1 i?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of 11*u**2 - 14*u - 8. Differentiate v(w) wrt w.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/3 + 9\/((-324)\/(-1992)). Calculate the greatest common factor of 209 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0192 times 0.14?\nAnswer: 0.002688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**(2\/9))**(-1\/3))**(-10\/7))**(-19) assuming r is positive.\nAnswer: r**(-190\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 144 - 140. Suppose 75 = w*q - 5*b, -100 = -3*q - 2*b - 3*b. Solve z + 3*n + 4 = -5, -5*z = 5*n + q for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -299.7 (b) 3\/5 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -28458 divided by -3?\nAnswer: 9486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/744248 and -77\/37956648?\nAnswer: 37956648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 15 = x. Suppose -x*i - 18 = -6*i. Is (2\/i)\/((-3)\/(-5085)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-882)\/28*(-1)\/(-4). Is u at least -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*a = -45*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1010122 - 1?\nAnswer: 1010121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 82552 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -104*y**2 + 6 + 40*y**2 + 2*y**2 + 19*y**2 + y as a + f*y + i*y**2 and give i.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 341.\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 29977748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**4 + 5*s**3 + 4*s**2 - 11*s + 5. Let i(g) = 3*g**4 + 9*g**3 + 9*g**2 - 21*g + 9. Let a(z) = 5*i(z) - 9*k(z). Suppose a(x) = 0. What is x?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (4 + 4 + sqrt(28)*3 - 6*(sqrt(252)*3)**2).\nAnswer: -13605 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*z - 72*z = 4*l + 966, -3*z = -2*l - 580. List the prime factors of z.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 - -27. Suppose -3*m + 3*m = -d*m. Let y(h) = 2*h + 2. Let k be y(3). Solve m = -4*v - 0*v - k for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 565729 to the power of 1\/2, to the nearest integer?\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5\/(125\/(-10)))\/((-5)\/250). Let y(o) = s + 37 + 2*o**2 - 57. Let j(g) = 35*g**2. Determine j(y(q)).\nAnswer: 140*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-5)\/8)\/(-5))\/(192\/52224)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + w = 3*v + 8, v + 4 = -4*w. Suppose -3*k + v = 3. Let q = 60 + k. What are the prime factors of q?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3a45 (base 11) to base 12\nAnswer: -3058","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.09, -2, 4, -3, -4\/7 in decreasing order.\nAnswer: 4, -0.09, -4\/7, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 65253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/40 of a milligram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x - 5. Let p be s(-5). Let b = 22 - p. Let f = 40 - b. Calculate the remainder when f is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -242*s - 26117. Give g(-108).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 6006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 96149852 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*57\/(-475)*-1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -661 + 664.064. Let h = 0.064 - o. What is the closest to 1\/2 in 1, h, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -1)*31\/(465\/25) + 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23\/20 - 3\/4. Let x = 25.9 - 26. Which is the closest to x? (a) -0.1 (b) -3\/7 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qquuifuunqqujufqn. What is prob of picking 2 n and 1 f?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 54993, 65535, 76077, 86619, 97161?\n\"Answer: 10542*x + 44451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-59)\/(-5))\/((-10)\/25)*-68. Calculate the greatest common divisor of m and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 346, -330, 10 in descending order.\nAnswer: 346, 10, 2, -1, -330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -251, -0.4, 45, -3, 4, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 531093 and 1611.\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 10:40 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4193, -8382, -12571, -16760, -20949, -25138?\nAnswer: -29327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 717, 5204, 16997, 39636, 76661, 131612, 208029, 309452?\n\"Answer: 590*a**3 + 113*a**2 + 18*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10735 is divided by 32.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3823?\nAnswer: 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(84) + sqrt(84) - sqrt(84) - sqrt(84))*6)\/(((sqrt(6)\/sqrt(2) + sqrt(3))*5 - sqrt(3)) + sqrt(3) + -2*sqrt(9)\/sqrt(3)).\nAnswer: 3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of v**4\/4 + v**2\/2 - 2*v. Let p be n(-1). Suppose -a = -0*a - p. Is a a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 13422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (24 + -30)) + ((-80)\/(-6))\/(-4)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 7. Let p be (-704)\/55*5\/c. Solve p = 4*x + 12 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176*m + 270000 = -175*m. What is m rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + s - 4 = 0. Let a(b) = 2*b**2 + 5*b + 1. Let v be (-38)\/247 - (-2 - 189\/(-39)). Let x be a(v). Solve x*z + 2 = -5*j, s = 4*j + 5*z - 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257 is divided by 86?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*j**2 - 19*j**2 - 23*j**2)*(-1 + 0 - 7)*(-3*j + j + 0*j).\nAnswer: -464*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*a - 11*a - 18 = n, 0 = -5*n + a + 5 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 13) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 + -19. Suppose -3*y + 2*y = -o. Calculate the greatest common divisor of 1 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in years?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3 - 7836*s**2 - 70706*s + 78540.\nAnswer: 2*(s - 3927)*(s - 1)*(s + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(1539) - ((sqrt(1539) + -3 - sqrt(1539)) + sqrt(1539) + sqrt(1539)))**2 + 0 + 1 + ((sqrt(304) + 0 + (sqrt(171)*6 - sqrt(19)))*-3)**2).\nAnswer: -324*sqrt(19) + 461760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40073059.\nAnswer: 13, 3082543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1580833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -25192415, -25192410, -25192401, -25192388, -25192371?\n\"Answer: 2*d**2 - d - 25192416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hb when two letters picked without replacement from {h: 2, t: 3, b: 1, e: 1, g: 5, x: 1}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 4. Let p = 0.08 - -0.12. Let n = 145 - 144. Which is the nearest to 0.1? (a) p (b) n (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -227 - 67 = 33*d + 16*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 467\/28 + -5\/28. What is the common denominator of ((-177)\/(-4 - -1))\/(-9) and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 - 38*c + 153. Let y be k(-41). What is the units digit of (-5)\/y - 17481\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of 103*d**3\/3 - 2*d**2 + 505*d - 47. Differentiate s(r) wrt r.\nAnswer: 206*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -3\/2*s**2 - 1\/3*s**3 + 0 - 32*s + 1\/12*s**4. Determine k so that g(k) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5709 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: Is 305\/183 + 256984\/3 + -2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 0.1 (b) 0.2 (c) 4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**4 - 44*a**3 - 160*a**2 - 112*a.\nAnswer: 4*a*(a - 14)*(a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) + (sqrt(65) + sqrt(65)*2 + sqrt(65))*4 + sqrt(65))\/((sqrt(5) - sqrt(1280)) + sqrt(5)).\nAnswer: -9*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39640 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yydd when four letters picked without replacement from yxdnddnndxxyxxddxxy.\nAnswer: 5\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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: Calculate the lowest common multiple of 265296 and 192.\nAnswer: 1061184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 4*k**2 + 5*k + 4. Suppose 8 = -3*g - 7. Let l be v(g). Suppose u = l*u - 27. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7825912 is divided by 4076?\nAnswer: 4068","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 2*d - 129531, -26*u + 27*u - 5*d = 43151. What is the thousands digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + (-2)\/3 + -4. Let z = x + 7\/3. What is the fourth smallest value in 11, 3, z, -1\/4?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, e: 3, c: 7, a: 1}. Give prob of sequence al.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -1124*u**2. Let r(t) = -12*t - 9. Let f(c) = -21*c - 15. Let b(i) = -3*f(i) + 5*r(i). What is w(b(k))?\nAnswer: -10116*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1548*b**2 - 1562*b**2 + 6*b + 3116*b**2 - 1.\nAnswer: 6*b**2 + 6*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 7984*m**2 + 470*m + 1440. What is the ten thousands digit of n(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 - -8) + -3 + 2. Suppose -2*t + l = -1. What is the third derivative of -5*i**2 + t*i**2 + 4*i**2 - 3*i**6 wrt i?\nAnswer: -360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1541 + -1440. Which is the third smallest value? (a) -2 (b) 0 (c) 0.5 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -162601 (base 7) to base 8\nAnswer: -76702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*n + 54*n - 99*n.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15536 - 15536 - 2*q + 2*q + q**2.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -231 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y - 4*n - 8, -3*y + 33 - 39 = 3*n for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 5625 = -6*y + 3*y, 2*b - 3751 = y. What is the third derivative of 1 + 3*f**2 + 1939*f**4 - b*f**4 + 5*f**2 wrt f?\nAnswer: 1512*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4700 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 1:04 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c + c - 8*c - c + 3*c - 3*c + 0*c + 0*c - c + 0 - 2*c + 0 + (0 - 5 + 4)*(3 + 2*c - 3) - 4*c - 2*c + 4*c - 3242 + 3242 - 116*c.\nAnswer: -133*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b - 3 + 0 - 2. Let d be u(-8). Let m(v) = 3 + v - d. Let c(r) = 3*r. Calculate m(c(i)).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 135461609 a multiple of 340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 282258?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 4*k = -229, 28*s = 30*s - 2043*k + 2046*k - 110 for s.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 4*x + 1. Suppose -4*p + 0*p + 2*k = 12, k = -4. Let m be x - (3 - -1) - p. Solve j = -j + m for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.5793 decades?\nAnswer: 69.516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2.4 * -644\nAnswer: -1545.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 196972 and 246215.\nAnswer: 984860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 9 (c) 1 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -15598 divided by 22\nAnswer: -709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33 - 29. Suppose 76 = 18*k + g. Solve 0 = -5*z + 4*d + 19, -z + d = k*d for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87471245 to the power of 1\/2, to the nearest integer?\nAnswer: 9353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79448, 158908, 238368, 317828, 397288, 476748?\nAnswer: 556208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -u + 2*u. Suppose -4*k - 10 + u = 0. Is (-35)\/k - 5\/(-10) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -139083264\/4067 + 34198. Is -1 at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -130 + 135. Suppose -2*y + x*y = -4*r + 22, 5*r - 5*y = 10. Suppose -r*f + 5*f = 302. What are the prime factors of f?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*n + 35 = -3*f - 82*n, 2*n + 33 = -5*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10149*r**5 + 217*r**3 - 75*r**2 - 37045*r?\nAnswer: -608940*r**2 + 1302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -12. Suppose 4*w + 3 = 4*m - 25, -4*w - 10 = 2*m. Is w at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 36 = -4*u, -u + 7 = 11 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 60? (a) 8 (b) -1\/2 (c) -2030 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 20 = -g + 1, -13*g - 79 - 290 = 3*y - 24 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -29*s**4 + 233*s**2 - 11*s. Let k(d) = 15*d**4 - 116*d**2 + 6*d. Let a(f) = -11*k(f) - 6*q(f). What is the third derivative of a(o) wrt o?\nAnswer: 216*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jgjjjggjjggjggjjjjj. Give prob of picking 2 j.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 112*u**2. Let p(o) = 25*o**2 - 27*o**2 - 39*o**2 - 15*o**2. What is -5*p(y) - 2*x(y)?\nAnswer: 56*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.335 and 354.\nAnswer: -118.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 340 and 1564.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 551414*j**3\/7 + 1102832*j**2\/7 + 551422*j\/7 + 4\/7.\nAnswer: 2*(j + 1)**2*(275707*j + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, w: 1, a: 2, c: 1, p: 1, x: 1}. Give prob of picking 2 x and 2 w.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 187 - 120. Does 10 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 50*w - 76 = 194 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of r**3\/6 + r**2\/2 + 17*r. Let j(u) = -2*u - 2. Calculate j(y) + 4*m(y).\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of n**3\/6 + 5*n**2 - 6*n. Let w be r(-14). What is the units digit of (w\/8)\/((-4)\/(-8)) + 138?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 69581?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8 (b) -0.2 (c) 1\/9 (d) -105 (e) -4.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**3 + 8*c**2 + c + 20. Let r be y(-4). Suppose 21*i - r*i = 85. Solve -17 + i = 3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 times 2?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14\/10 + (-6)\/(-10). Let l(j) = 1 + 0*j**3 + 8*j**3 + j - 7*j**3. Let o(r) = 4*r**3 + r**2 + 3*r + 3. What is d*o(q) - 6*l(q)?\nAnswer: 2*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34271 + -11748. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37.94323 - 0.145751?\nAnswer: -38.088981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1*-453896\nAnswer: 453896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 20?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -10. Calculate the highest common factor of i and 42.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -262. Suppose -3*u - 2*u = -20. Suppose 0 = 2*m - 3*a - i, u*m = 6*a - a + 498. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5335 and 0.4.\nAnswer: 2134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 103398355?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00015115991 rounded to 7 dps?\nAnswer: 0.0001512","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314 is divided by 53.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - (-6 - -1)) + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134041 is divided by 2197.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-3\/8)\/w*w)**(-18\/11)\/(w**4*w)**28)**(-42) assuming w is positive.\nAnswer: w**(130305\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 3*l**2 - 1. Let z be i(1). Let n(a) = 0 - 2*a**2 - 1 + 2*a - a**2. Determine n(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 873 divided by -1\nAnswer: -873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (-6 + 5 - -9) + 789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**2 + 7*b**2 - 2*b**2 - 1 - 11*b - 5. Let n(o) = 2*o**2 - o - 1. Let w(h) = 6*n(h) - z(h). Factor w(r).\nAnswer: 5*r*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 205108 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + 4)\/((-4)\/(-6)). Let d be -3*(2 + 0 - w). Factor -2*h**4 - d*h**4 - 2*h + 4*h**2 + h**4 + 2*h**5.\nAnswer: 2*h*(h - 1)**3*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 94384131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hxh when three letters picked without replacement from hxhfxfpxiht?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 9924360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 5*q - 20 = 0, 73*q + 68*q = -5*v + 136*q + 20 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0\/w)**3*(w*w**(-2)\/w)**(-14) assuming w is positive.\nAnswer: w**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 q when three letters picked without replacement from ojqqcjfqqjqjcoqjn.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**0*m*m**0*(m*m\/m**1)**47 assuming m is positive.\nAnswer: m**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4584, -9217, -13898, -18633, -23428, -28289, -33222?\nAnswer: -38233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 40 = -0*u. Let c = 29 - 21. Calculate the greatest common factor of c and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(48\/(-52))*-12*4\/(-16).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -1. Let r = x + -1. Let t be (-2 + 1 + r)*1. Solve t = o - 2 - 2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2444.\nAnswer: 2, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of n**2\/2 - 11*n - 2. Let h be j(9). Is (-2)\/h - (-240)\/5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -0.3 (b) -2\/9 (c) -2 (d) 20\/19 (e) 3 (f) -1\/4 (g) 34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 7:23 AM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5*g - 15 = 0, 0 = 5*o + 3*g - g - 6. Suppose 5*q + 11 + 4 = o. Let l be (-2)\/(-8) + 15\/4. Put -4, l, q in decreasing order.\nAnswer: l, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -715*v + 703*v. Let m = 0 - -1. Calculate the smallest common multiple of m and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 283.51 millennia?\nAnswer: 2835.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -h**3\/2 - 218*h**2 + 5643*h\/2 + 6968511 = 0.\nAnswer: -297, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -198*g**3 - 140*g*q + 102*q - 53 wrt g.\nAnswer: -594*g**2 - 140*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -51*d**4\/4 + 4*d**3\/3 + d**2 - 6*d - 24. Let k be z(-5). Suppose -12*g - k = -15*g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2210 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*h + 138*h + 40 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*(21\/2 + -1). Let a(i) = i**3 - 61*i**2 + 596*i - 395. Let d be a(49). Put -4, d, v in descending order.\nAnswer: d, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**2 + 9*s + 4. Let o(g) = -g**2 - g - 1. Let m(w) = -n(w) - 6*o(w). Calculate the remainder when m(-3) is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 679330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -40 + 68. Let m = b + -16. What is the smallest common multiple of m and ((-4)\/(-2))\/2 - (-9 - 2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of 4*g**6\/51 - 86*g**5\/85 + 12*g**4\/17 + 130*g**3\/51 - 50*g**2\/17 - 1753. Determine r, given that j(r) = 0.\nAnswer: -5\/4, 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.601482431 to 2 decimal places.\nAnswer: 6.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 - (-30344 + (-49)\/(-7) - 3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-768)\/(-320)*(-80)\/(-72)*-3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*r - 86*r = 67*r + 79*r + 39884 for r.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t**2 - 2*t - 3. Let d(i) = -i**2 + i. Let n(j) = -2*d(j) + m(j). Let a(q) = -q - 1. Let p(o) = 4*a(o) - n(o). Factor p(z).\nAnswer: (z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b - 31*b + 51 + 109 = 0. What is the remainder when 3462 is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 3*x. Let b be (-2 - -1)*(x + 4). What is the lowest common multiple of (-4)\/(-3)*(-66)\/b and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 3:15 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4168248520 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 155.6, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of (2 + 1)*(2 + 12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -211 + 208. Is ((-102)\/18)\/(u\/288) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or -327474179?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*z**3 + 2755*z**2 + 457*z - 11552877?\nAnswer: 12*z**2 + 5510*z + 457","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3924*h - 13523 - 68881 for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 14. Which is the third smallest value? (a) -3\/7 (b) -1\/4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three tenths of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**2 - 6*n + 8. Let f(r) = -r. Let t be 3*(5\/(-3) + 2). Let y(s) = t*h(s) + 2*f(s). Factor y(c).\nAnswer: 2*(c - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 5*n**3 + 23*n**2 + 9*n - 134. Let f(x) = -x**2 + x - 2. Let l(p) = 6*f(p) - r(p). Find the second derivative of l(a) wrt a.\nAnswer: -30*a - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q = 6*q + 16. What is the remainder when 7 is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of 3*x**3\/2 - x**2\/2 + x. Let c = -217 - -223. Is k(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*d - 16. Suppose -d*v + 794 = 101. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 51001890.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zppppvjpv. Give prob of picking 1 j and 1 z.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 53 + y**4 + 1469*y - 45 - 6 to p*y**2 + z + r*y + f*y**4 + t*y**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 7835, 15513, 23191, 30869?\n\"Answer: 7678*m + 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -3*c**2\/2 + 198*c - 6534 = 0?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3*f**2 + f**3 + 0*f**2 + 3 - 2*f**3 - 4*f. Let i be x(2). Let z = i - 0. Sort -5, z, 0 in decreasing order.\nAnswer: 0, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 2*p**2 + 4*p + 46. What is the lowest common multiple of 3 and o(0)?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/13 in 0, -1, 17, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 34*i**2 - 12*i - 9. Let j(m) = -m**2 - 2*m - 1. What is -6*j(a) + y(a)?\nAnswer: 40*a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -45 divided by 9\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*d - 10*d - 7458. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/3))**(-45)\/(s**(-2)*s\/(s*s\/(s\/s**2))*s)*(((s\/s**1)\/s)\/(s*s**(-2\/23)))**(-13\/3) assuming s is positive.\nAnswer: s**(2849\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 153 + -143. Suppose 62 - 12 = v*j. Solve 0*a - 21 = a - j*b, b - 6 = 2*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 168768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -1, 1\/5, -2\/3, -1.94 in descending order.\nAnswer: 1\/5, -0.4, -2\/3, -1, -1.94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 16*k - 48. Suppose 3*l - 25 = 11. Let v be z(l). Solve v = -3*w + w - 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2484*u + 581253. Calculate g(-234).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -21*q**3 - 6*q**2 + 27*q - 27. Let o(c) = 3*c**3 + c**2 - 4*c + 4. Let s(a) = 4*k(a) + 27*o(a). Find the third derivative of s(t) wrt t.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 36222\/(-48168) + (-3)\/(-4). Let y = -54101\/44154 + o. What is the common denominator of y and -151\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 33 = -5*i, -5*n = -3*n - 8 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/63)\/5*(-175)\/50*162\/3.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**5\/p)**(30\/7)\/(p\/(p\/p**(-2))*p*p**(-11)) assuming p is positive.\nAnswer: p**(204\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 - 2*f + 1. Let r(x) = -8*x**2 - 20*x + 10. Let j(k) = 3*r(k) - 30*s(k). Let l(v) = 2*v**2. Calculate l(j(i)).\nAnswer: 72*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*g**2 + 5*g**3 - 8*g + 3*g**3 + 5*g - 6*g**3 to h*g + k*g**3 + z*g**2 + o and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 4*i**2 - 103*i + 34. Determine z(25).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17916 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w + 7*w + w - 2 - w + 2 + (-2*w - w + 2*w)*(1 - 1 - 2) + 2*w + 0*w + 0*w + w - 3 + 3 + (-3*w + 2*w + 2*w)*(5 + 2 + 1).\nAnswer: 16*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 55286 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cmfcfcmcfcm. Give prob of picking 1 m, 1 f, and 2 c.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (5*sqrt(143)*-3)\/(sqrt(11) + sqrt(275)*-2))*6 + -4.\nAnswer: 26 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -a4146 (base 11) to base 16\nAnswer: -25161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 w, and 1 t when three letters picked without replacement from {d: 2, w: 9, b: 1, v: 4, t: 3}?\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 6. Let q(f) = f**3 - 12*f**2 + 17. Let s be q(12). Suppose s - 23 = -d. Calculate the least common multiple of h and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -1. Let i = -167801 - -167797. Let w be (1 + -3 - 0)\/(-2). What is the nearest to r in -2, i, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -661974 divided by -80?\nAnswer: 330987\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwewzebwbbe. What is prob of sequence ebz?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 265285810 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61601?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 2. Suppose -117 = 2*h - l*h. Suppose -4*s + h = -49. Does 7 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12479109 is divided by 115.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -576 + 579. Suppose t*h - 13 = 53. What is the remainder when h is divided by 3\/(-12) - (-17)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -87 - -172. Let k = z + -93. Which is greater: -3 or k?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -z + 2*u - 11, -5*z - 3*u = 55. Sort 1, z, 8 in descending order.\nAnswer: 8, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.51 + 0.61. Let q = g - -4.2. Let t = 1.7 + q. Which is smaller: t or 6?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.494 plus 2?\nAnswer: -1.494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*b*l**2*n**2*x + b*l**2 - b*l*n**3*x - b*l*n - 3*b*n**3*x + 2*b*n**3 + b + l**2*n**3*x wrt l?\nAnswer: 24*b*n**2*x + 2*b + 2*n**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 6c5?\nAnswer: 6c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 14 + (6 - -4) + -7 + -6\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and 12738.13.\nAnswer: 76428.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -43*s - 422. Let g be k(-9). Let i be g\/14 + (-216)\/(-80). Which is the nearest to 1? (a) 4\/5 (b) 0.9 (c) 2 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*f + 2106 = 5*k + 2193, -12*k = -5*f + 91 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 104845232?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39 + 19 - -21) + (1 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.297 - 2.297. Which is the nearest to 0? (a) i (b) 0.05 (c) -0.3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 482 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156899.\nAnswer: 156899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -705 + 1570. Suppose -4*g = 4*i - 438 - 278, -a = -5*g + 5*i. Is g a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbbbpbbbbbbb. What is prob of sequence bbb?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*w**2 + 236*w - 34.\nAnswer: 2*(w + 17)*(7*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2820*o**2 - 2819*o**2 - o + 0*o. Calculate l(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*-2*-5 + -4*2*sqrt(19) + sqrt(475)*1)**2.\nAnswer: 5491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 277.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 73?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/754 and ((-9)\/6)\/((-68)\/(-442) + 993\/897).\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*i**5 - 1334*i**4 + 1466*i**3 + 2926*i**2 + 116*i - 80 = 0.\nAnswer: -20, -1, -1\/5, 1\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/605 and (-4)\/44*(-7 + 3\/15).\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7, -544, 3, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7912, 7913, 7914, 7915?\nAnswer: 7916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 1, -0.8, -0.5?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1122\/(-8602))\/(6\/4).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22122 - 21110?\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 43592049.15 rounded to the nearest 1000?\nAnswer: 43592000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -5*a + 130, -2*a + 35 = 4*d - 71. Let g(h) = -h**2 + 27*h. Let m be g(d). Suppose -5*j + 197 + 53 = m. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -18. Suppose -y - 3*y = -v. What is the remainder when 102 - y*4\/(-4) is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 4, -64, 2, 0.\nAnswer: -64, 0, 2, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -979 (b) 0.6 (c) -5\/4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + y - 1. Let b be f(-3). Suppose -b*q + 532 = 3*c, 0*q + 4*q + 5*c - 423 = 0. What are the prime factors of q?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*j + 43 + 17 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37.387811 + 31.8981. Let r = 652 + -646.51. Let m = b + r. Round m to five decimal places.\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 32 = -4*o, 5*o + 452 = 3*x + 412 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sjhhsmjqsqjsjmjssh. Give prob of picking 1 j and 1 m.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -5*z - 1. Let u be f(-1). Let q be (u\/(-8)*2)\/37. Are 0 and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 7*w**2 - 9*w**2 - 1.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 81*b - 196. Let p(o) = -36. Determine 5*p(n) - z(n).\nAnswer: -81*n + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(396)*-2 - (2 + 1 + sqrt(396)))*-3.\nAnswer: 9 + 126*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1314122102 (base 5) to base 6\nAnswer: 154032101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*r - 2*q = -27*r - 14, -26 = -4*r + 2*q. Sort r, -9, -2.\nAnswer: -9, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 0.13, -2\/17?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6857, 13711, 20565, 27419, 34273, 41127?\nAnswer: 47981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 13. Let l be (-2)\/3 + (-56)\/q. Factor 4*n**2 - 3*n**2 + l*n + n**2 + 2.\nAnswer: 2*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125) + (sqrt(125) - (-4 + -1 + sqrt(125))) + (-3*(sqrt(125) + 1) - sqrt(125)) + 4)*4)**2.\nAnswer: -2880*sqrt(5) + 18576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -740493 by -39.\nAnswer: 18987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - 8)*2\/4. Put c, 5, 3, 1 in descending order.\nAnswer: 5, 3, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -9 in descending order.\nAnswer: 3, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5*(3*sqrt(76)*2 - sqrt(76))\/sqrt(4).\nAnswer: 3 + 25*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 5*h**2 - 21*h + 11. Is w(12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -207403.4?\nAnswer: -41480.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + ((-1)\/((-4)\/188) - -3). Suppose 4*c - h = -3*s, 3*s - 5*s = -c - 2. Let n = 26 + 3. What is the remainder when n is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, m: 2}. Give prob of picking 2 m.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 10*u**2 + 192*u - 2397. What is f(12)?\nAnswer: 1347","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g + 4*i - 35 - 6, 0 = -4*g + 8745*i - 8742*i + 39 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26839.0054172 - -26839. What is g rounded to 4 dps?\nAnswer: -0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 - -28. Suppose 5*x = -3*t, x = -3*t - b*x. Solve 0 = -t*g - 5*g + 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -8*p**2 + 3*p + 10*p**2 + p. What is the remainder when 17 is divided by u(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/25715 and -34\/7335?\nAnswer: 37723905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-70)\/(-15))\/(-5*(-36)\/27).\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/((j*j\/(j*j\/(j**(-1)\/j*j)))\/j)))\/j*j*j**(-13\/3))\/(j\/j**(-1))**(-1\/5) assuming j is positive.\nAnswer: j**(-89\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(1331))**2 - (1 + sqrt(44)\/sqrt(4))**2) + (sqrt(121)*2*4)\/(-2*sqrt(1100)).\nAnswer: -232*sqrt(11)\/5 + 1323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -14*l**3\/3 - 2. Suppose 4*i = 4*b, 4*b + b - 4 = 3*i. Let m(d) = d**2 + 900 + 3*d**b - 900. Determine m(q(g)).\nAnswer: 784*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -4. Suppose z = a - 13 + 3. Suppose -6 = 3*i + 3, -3*h - 2*i = -78. What is the remainder when h is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 25252815.5.\nAnswer: -126264077.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1098 a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -93*h**3 - h. Does 18 divide f(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**2 - 13*m + 37. What is d(-9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4974800 by 24874.\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -27, -75, -123, -171?\n\"Answer: -48*x + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 12:11 AM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -36, -144, -358, -714, -1248, -1996, -2994?\nAnswer: -4278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -24*f**2\/5 - 602*f\/5 - 10 = 0.\nAnswer: -25, -1\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/3))**(-16)*(m*(((m**(-1\/3)*m)\/m)\/m)\/m)**(-23))**(-25\/3) assuming m is positive.\nAnswer: m**(-300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11684*w + 243 = -11711*w for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 70\/(-3)*(-126)\/49. What are the prime factors of ((-372)\/a + 3)\/((-2)\/80)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 5*f - 10, 3*f - 9 = 3*h + 3. Let r(p) = p. Suppose 0 = 2*a + 2*a + 16. Let l be r(a). Sort h, l, -0.1 in ascending order.\nAnswer: l, h, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 53 = 48. Let l be (g - 1)\/(184\/(-40) - -5). Let d = -315 - -485. Calculate the greatest common factor of d and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1946 from -525567771642.\nAnswer: -525567769696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25560 and 54?\nAnswer: 76680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(33)\/(sqrt(11)*-3) - (sqrt(3) + -1 + 4)*1.\nAnswer: -4*sqrt(3)\/3 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.27 + -12.27. Let v = f + 7. Let m be (8\/(-10))\/(6\/(-10)). Which is the closest to 0.2? (a) v (b) m (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, a: 1, z: 1, d: 2, o: 2, h: 2}. What is prob of picking 1 d, 1 o, and 1 a?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -13791, -28434, -43077, -57720, -72363, -87006?\n\"Answer: -14643*z + 852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/((f*f\/((f**(1\/8)\/f*f)\/f))\/f))\/f)\/f)\/f*f*f\/(f**(-12\/5)*f)*((f*f*f**4)\/f)**(-34) assuming f is positive.\nAnswer: f**(-6819\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/7)\/(o**(2\/7)*o))**(23\/4)*((o*o**(1\/5)*o)**28)**(-8\/9) assuming o is positive.\nAnswer: o**(-10891\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 6. Let a(y) = -17*y - 378. Let d be a(-24). Calculate the highest common factor of u and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -208, -4, 0.14, -1, -8, -1\/5 in decreasing order.\nAnswer: 0.14, -1\/5, -1, -4, -8, -208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -1923*i - 48. Let g(d) = -5770*d - 136. What is -17*f(t) + 6*g(t)?\nAnswer: -1929*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -131 - -321?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 9*a = -243. Let i be 261*(a\/36 + (-7)\/(-4)). Suppose -h + i = 65. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 157\/17 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 + 19*z - 13. Let a be i(18). What is the second derivative of -d**2 + 11*d + 6*d**2 - 21*d**3 - a*d**2 wrt d?\nAnswer: -126*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53687076.\nAnswer: 2, 3, 61, 71, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/8 bigger than -110?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.867809 weeks in seconds?\nAnswer: 1734450.8832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 481\/74 + (-18)\/4. Solve 3*o - 11 = u*d, 11 = 5*o - d + 5*d for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6.795 + 0.105. Let d = a + 0.4. What is d rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 82\/7. Let r = -8 - -8. Let h = -5 - -4.7. Which is the closest to r? (a) 1\/2 (b) k (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -10*b**3 + b**2 - 1. Let z be k(-1). Let n = -19 + z. Let o be (-16)\/(-3) - (-3)\/n. Solve 4*c + 4 = 3*c + o*r, -5*c + r = -4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 80040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -b**3\/3 - 13*b**2\/2 - 4*b + 9. What are the prime factors of t(-10)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1042.\nAnswer: 2, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -220211200020220 (base 3) in base 7?\nAnswer: -220130433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 p, and 1 q when three letters picked without replacement from pssgzngnnpgnggnggnqg?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/2070 and -16\/3243?\nAnswer: 97290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -0 - 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mp when two letters picked without replacement from {i: 3, p: 1, q: 3, m: 2, r: 2, a: 4}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 13*w**2 + 10*w - 2. Let z be k(10). Let f = z + 424. What are the prime factors of f?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 4*x - 5*x. Let t = x + -30. Let g(f) = -f**3 - 2*f**2 + 3*f - 8. Does 26 divide g(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, c: 5, w: 3, u: 7}. What is prob of sequence chwc?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 197420158\/6727 + -205432\/7. Which is smaller: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 7*c**2 + 6*c + 1. Suppose 0 = 6*u + 976 - 148. Let s be u\/24 - 6\/(-8). What are the prime factors of q(s)?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13896\/(-288) - (2 + -57)\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 1710?\nAnswer: -1710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2271 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2 - 158760*v + 2100394800.\nAnswer: 3*(v - 26460)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 - 17*s + 16 - 36 - 12 - 35 to h + u*s and give h.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 5:05 PM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-6))**(1\/50) assuming l is positive.\nAnswer: l**(7\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*(39\/(-12) - 0)*2. Let o be (-7 - w) + -100 + (2 - 0). Let u = -86 - o. Solve -i - 2*i - u = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -742, -1971, -3700, -5935, -8682?\nAnswer: -11947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -100 - -37. Let x = -62.9999943 - v. What is x rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.76 in 2\/11, -5, 2\/9, -0.1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5*1*8\/(-20). What is the hundreds digit of (-4*(-3)\/12 - -112) + g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 425546?\nAnswer: 2, 11, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + 1 + (-227 - -256).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7292 + 118*x**3 - 61*x**3 - 59*x**3 + 14584 - 62*x**2 - 7292.\nAnswer: -2*x**3 - 62*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 396480 and 3360.\nAnswer: 396480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, q: 2, l: 2, g: 1}. Give prob of sequence nq.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 9:41 PM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**2\/15 + 23954*c\/15 - 12784 = 0. Calculate c.\nAnswer: -11985, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2672 + 2?\nAnswer: 2674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -248, 0.3, 44.7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q**(1\/2)))\/q)**(5\/14)\/((q\/(q\/q**5)*q)\/(q*q\/q**5*q))*(q\/(q*q**2*q))\/(q\/((q**5*q*q)\/q))*(q*q**(1\/3)\/q*q)\/(q**5*q) assuming q is positive.\nAnswer: q**(-941\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 78446776?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q + 0*q - 3*q)*(52 - 2 + 59) to the form k + v*q and give v.\nAnswer: -545","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/5 + (-9)\/(-15). Let f = 84 - 82. Which is the nearest to 1? (a) w (b) 5\/2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of -1 + (-6)\/(-5) - 1225\/(-125)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + (-13)\/((-13)\/(-6)). Let c be (9 + h)*-1*1. Let i = 8 + c. Let r(t) = t**3 - 3*t**2 - 5*t + 6. Give r(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/6*v**5 + 0 + 0*v + 0*v**2 - 14\/3*v**4 + 30*v**3 = 0. What is v?\nAnswer: 0, 10, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 789588 is divided by 157902.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 271*s**2 + 317*s + 444. Give a(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + z + 6. Suppose 4*r = z*l - 3*l + 82, 0 = 5*r - l - 97. Let m = -97 + 131. What is the remainder when m is divided by r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 17\/2 of a meter?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence krr when three letters picked without replacement from rkkkrkrkrkkrkkkrrrr?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2915, -5083, -7215, -9311?\n\"Answer: 18*g**2 - 2222*g - 711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1081379\/203 - 5327. Let z = 8\/29 - g. Which is the smallest value? (a) -2\/9 (b) -1 (c) z (d) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35 + 28 - (-3 - 1)) + 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of r**5\/60 - r**4\/6 - r**3 - 58*r**2. Determine m(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 42 = h. Suppose 4*p - 5*c + 40 = 8*p, c + 6 = 2*p. Suppose -p*t + h = -11. Solve -2*y - 21 = -t*b, b - 3*y + 0*y = 12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z + 8. Let m be j(-5). Let h be 0 + 4 + (3 - m). What is the highest common divisor of 7 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 4*g + 15 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -74, -135, -182, -209, -210, -179, -110, 3?\n\"Answer: g**3 + g**2 - 71*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10213593 and 6285288?\nAnswer: 81708744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/5 + (-1470)\/75. Is ((-12530)\/l)\/(-1*2\/(-4)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 + 34.3. Sort x, 5, -2 in ascending order.\nAnswer: -2, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -701*f**2*p**5 + 123*f**2 - 2*p**2 - 2*p wrt p?\nAnswer: -42060*f**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 9) to base 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tkld when four letters picked without replacement from {t: 1, b: 1, l: 1, k: 1, d: 10}.\nAnswer: 5\/12012","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25244 - -38111. Calculate the remainder when c is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (292 - 101 + 190)*(-n - 2*n + 2*n)*(-7*n - 1 + 3*n + 3*n).\nAnswer: 381*n**2 + 381*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*p**3 + 148*p**2 - 148*p**2.\nAnswer: 14*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3697*g**3*m**4 + 31162*g**3 - 3*g*m**4 wrt m?\nAnswer: 14788*g**3*m**3 - 12*g*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56113, 224865, 506119, 899875, 1406133?\nAnswer: 2024893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -6*d**3 + 24*d**2 - 88*d + 210. Determine c(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1822101*l**3 - 2*l**2 + 137*l - 1094.\nAnswer: -10932606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -374 - -374. What is the closest to d in 1\/6, -2\/7, -12?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 989034832?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/109?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 21 = 4*k, 0 = -x - 2*k + 6*k - 1. List the prime factors of (-6 - 5 - x) + 468.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 668, 666, 664, 662?\nAnswer: 660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*m = -30*m + 140*m - 390 - 682 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -8*j**3 + 3*j**2 + 6*j + 6. Let c(v) = 7*v**3 - 2*v**2 - 5*v - 5. Determine 6*c(o) + 5*u(o).\nAnswer: 2*o**3 + 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 762063811 to the nearest integer?\nAnswer: 913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -2\/5, 52, -0.5 in descending order.\nAnswer: 52, -2\/5, -0.5, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-32 + 29)*1\/(9\/(-2361)). Let n = 790 - y. Solve 5*t = -2*q + 7*q, 2*q - n*t = 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -892539 divided by -81?\nAnswer: 11019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4040618133 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1323892 divided by -330973\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 95.5, -1\/3, -5, -0.2 in descending order.\nAnswer: 95.5, -0.2, -1\/3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1*-2)\/10 + (-191382)\/(-835). Suppose -1 = 3*b + 3*d + 2, 2*b - 2*d = 2. Suppose -4*z + r = 3*q, z - 3*z - 4*q + 122 = b. Does 20 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -2*u**3\/3 + 3*u. Let j(z) = -2*z. Give a(j(r)).\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 56053 + -3?\nAnswer: 56050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 + -23. What is the second biggest value in u, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -134800 divided by -8425?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 34*r**2 + 83*r - 178. Calculate p(-30).\nAnswer: 932","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from ippieiffpeepfpiieies?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -522518113.9 to the nearest one hundred thousand.\nAnswer: -522500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - e94b89?\nAnswer: -e94b8e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -140252325?\nAnswer: -140252321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -194 + -49a?\nAnswer: -683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (416\/26 - 19)\/((-9)\/6). Let 0 + 12\/5*g**x + 0*g - 21\/5*g**4 - 36\/5*g**3 = 0. What is g?\nAnswer: -2, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 5*s - 30, -32*s + 3*i - 10 = -33*s. Calculate the remainder when 111 is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 556*a**2 + 28428*a - 7470. Calculate p(-499).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 6*r**2 + 6*r + 7. Let o be s(7). Let h be 4\/(-18) + (-34)\/9. Let k be (-1)\/(-2)*o\/h. Are -1\/8 and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/7 + 3132500\/(-43855).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.9 - 1. Let w = 2.3942 - 2.3942. What is the nearest to a in 6\/11, -4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 55. Suppose 12 = -y + p. Find the third derivative of -19*i + 19*i**3 - 5*i**2 + y*i - 26*i wrt i.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 0*a + 5 = 0. Suppose -3 - 7 = 2*y. Put 3, a, y in increasing order.\nAnswer: y, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 7, a: 5}?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 2*m - 4)*(-1 - 4 + 2)*(-6 + 1 + 0).\nAnswer: -30*m - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**4 + v**2 + v - 1. Let h(o) = -5*o**5 - 22*o**4 - 48*o**3 - 19*o**2 + 13*o + 3. Let u(q) = 4*h(q) + 12*x(q). Suppose u(y) = 0. Calculate y.\nAnswer: -2, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -11*v - v**3 + 12*v - 12*v - 13 - 3*v - 14*v**2. Let y be h(-13). Solve -4*c + 5*b - 26 = y, 3 = -c + 4*b - 9 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -25*w**2 + 3*w + 3. Let f(p) = -301*p**2 + 35*p + 35. Let i(g) = -35*c(g) + 3*f(g). Let a(k) be the first derivative of -3*k**2\/2 - 99. Give i(a(q)).\nAnswer: -252*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/18 + (-306964)\/83088.\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**4 + 117*n**3 + 1449*n**2 + 6675*n + 9900 = 0. What is n?\nAnswer: -20, -11, -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -98.6416163 rounded to 2 decimal places?\nAnswer: -98.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**2 - 2*f**3 - 3*f**3 + 4*f**3 + 1. What is the units digit of y(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 91 and 3742453.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1587982, -1587650, -1587318, -1586986, -1586654, -1586322?\nAnswer: -1585990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3461142 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46463.\nAnswer: 97, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 6. Solve z = -6 + a for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 12*d + 377 = 8*d, -33*i + 30*i + 13*d + 1205 = -0*d for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*a - 158*a = -94*a + 494 + 186 for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 35758045, 35758077, 35758111, 35758147, 35758185?\n\"Answer: t**2 + 29*t + 35758015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 155449 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/8 and 115\/12555108?\nAnswer: 25110216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 AM and 4:51 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -43*x + 40*x - 6. Let d = -16.02 + 15.62. Put x, d, -1\/2 in ascending order.\nAnswer: x, -1\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + 11*p - 19. Let u be (3*2)\/((-15)\/(-20)). Suppose 3*s - u*l = -3*l + 21, 5*s = -3*l + 1. Calculate the remainder when k(8) is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*n - 42*n - 63*n = 23*n + 8064 for n.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -8. Let j be 6*(-1)\/(-4)*u. Let m = 35 - 176\/5. Put j, 2\/11, m in decreasing order.\nAnswer: 2\/11, m, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d + 15*d = 5*u - 31, -u = -3*d - 3. Solve p = -2*v - u, 0*v - 15 = 3*v for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -36\/7 >= -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-36) - (1 + 10160\/(-8298)). Let w = n + -1027\/48405. Which is greater: w or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1870 = -374*b, 4*b + 8 = 471*f - 475*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -284? (a) 16.8 (b) -3\/5 (c) -0.4 (d) -0.06 (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 827042?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/189 and 73\/243.\nAnswer: 1701","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -442 divided by -658094\nAnswer: 221\/329047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -1. Let a(q) be the second derivative of q**3\/2 + 7*q**2\/2 - 70*q - 3. Let i be a(x). Sort -3, i, 4 in decreasing order.\nAnswer: i, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 7*r**2 - 4*r - 2. Let a be v(-5). Let f = a + -63. Let j(p) = p - 10. Determine j(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/(-18) - (-20)\/6 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -1600*d**2 - 2*d**4 + 24*d + 80*d**3 + 0 + 1\/50*d**5. Solve n(a) = 0 for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -656238 divided by -6\nAnswer: 109373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 12 = 4*h, -4*h - 15 = -t. Suppose -9462 = -491*w + 1340. Solve w*q - t*q = 20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -0.3 (c) -8\/17981 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 231 + -230. Let z = 129\/8 + -16. Put z, p, -4 in increasing order.\nAnswer: -4, z, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 18106078 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**3 + 2*k**3 + 0*k**3)*(-10*k**2 + 14*k**2 + 7*k**2).\nAnswer: 55*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, r: 2, x: 1, b: 1}. What is prob of sequence rxr?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78912?\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 5*z. Let k(t) = 11 - 11 + t. Calculate v(k(d)).\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 5*r**3 - 4*r + 5*r + 0*r + 14 - 4*r**3 + 10*r**2. Let h(i) = -11*i + 1. Let x be h(1). What is the units digit of m(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -18161, -36320, -54479, -72638, -90797?\n\"Answer: -18159*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 25248, 101008, 227280, 404064?\n\"Answer: 25256*x**2 - 8*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8718 by 4359.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1090331917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 14) in base 2?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of 52 - 35*h**2 - 5\/4*h**4 + 35\/3*h**3 + 40*h. Factor s(m).\nAnswer: -5*(m - 4)*(m - 2)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -4*q - 130. Suppose 23*b - 29*b + 2604 = 36*b. Let i = b + q. Sort i, -2, 5 in decreasing order.\nAnswer: 5, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.94 + 0.96. Let z = -3.2 + u. Let j = 54 + -271\/5. Which is bigger: z or j?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1399848 divided by -6862\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 222996, 446009, 669034, 892071, 1115120?\nAnswer: 1338181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 100*g**2 + 117*g + 1320. What is b(-101)?\nAnswer: -296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 588681408?\nAnswer: 2, 3, 7, 19, 23053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**2 + 1 - 11 - 2 as k*g**2 + s + c*g and give s.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 795.\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 + -3?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 304102693*w**2 - 76038*w + 908.\nAnswer: 608205386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 491311706*g**5*p - 2*g**3 - g**2*p - 97*g**2 + 18*g*p - 43*g - 2*p - 6 wrt g?\nAnswer: 29478702360*g**2*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -536 = -4*v - 0*v - 2*d, 2*d + 256 = 2*v. Suppose 3 - v = 3*w. Let n be ((2 - 3) + w)\/(-2). What is the greatest common divisor of 176 and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -4. Suppose -t + 4 = -5*t. Let h be (-2 - -2)\/(t - i). Solve 3*g - 12 = -h*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/98112 and 23\/11062128.\nAnswer: 44248512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p + 1. Suppose 0 = -2*b - 5 + 9. Let l be o(b). What is s in -2*s**4 - s**4 - s**2 + s**2 - 3*s**l = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 462952437305 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 670 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.054 - 0.464. Let d = -0.09 + z. What is the closest to 0 in -5, d, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**(-2)))**(1\/18))**(10\/9) assuming r is positive.\nAnswer: r**(10\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x + 10. Give g(22).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 1 + 0)*(-4*b**3 + 5*b + 3*b**3 + 4 + b**2 - 3*b)*(-5 + 6 + 0) to u*b + v + n*b**2 + p*b**3 and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70\/(-518)*(-4)\/20*5*(-8)\/20?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l\/l**(-1))\/(l**(-1\/4)*l*l))**(3\/13))**17 assuming l is positive.\nAnswer: l**(255\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 128357444?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5482088831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -252200 to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 - 24. Let c(r) = r**2 + 1. Let g(i) = -7*i**2 - 5*i - 5. Let h be 3\/(-5) - 64\/(-40). Let j(z) = h*g(z) + 6*c(z). Determine j(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66668 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -11*v**2 + 2*v - 9. Let o(u) = 13*u**2 - 3*u + 12. Calculate 6*m(i) + 5*o(i).\nAnswer: -i**2 - 3*i + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**4\/5 - 58121*x**3\/5 - 2032722*x**2\/5 + 16728516*x\/5 - 14637672\/5 = 0.\nAnswer: -58086, -42, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-6) - 2\/6. Let y = a - -3. Suppose -y*f = 2*f - 112. Is 14 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 495*x + 494*x - 982*x + 4*x**2 + 5 + (2 + 2 - 2)*(x**2 - x**2 - x**2) - 3 + 10*x**2 + 3 to a + g*x + y*x**2 and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 + -18. Suppose -n = -f - 0. Let b(o) = o**3 - 2*o**2 - o + 3. Let t be b(3). What is the greatest common factor of t and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/4)\/(d\/(d*d*d**(-5\/3)*d*d*d)))\/(d**(-1\/19))**27)**(-18) assuming d is positive.\nAnswer: d**(-2397\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -11*i + 2. Let x be j(3). Let d = x + 96. What is the highest common divisor of 13 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -100788*c + 705663. What is d(7)?\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 32*p**2 + p**3 + 6 - 7*p**2 + 36*p - 84*p**2 + 22*p**2. Calculate the least common multiple of 94 and b(36).\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-450)\/(-1725))\/(33\/1771).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1152412724 divided by -4\nAnswer: 288103181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vvvvhdhhdhddvgd.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 8*k + 206. Determine i(-24).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/(-17)*((-3)\/3069*-22)\/(2\/(-9))?\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -117639015 - -117638992.9999978. Let q = 251 + -273. Let l = q - a. What is l rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.2 + 11.3. Let t = -15.6 + f. Is -40 greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30792993 and 154.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(52) + -1 - sqrt(52)) - (sqrt(208)*-6 + (-1*sqrt(208))**2))*4*4.\nAnswer: -3360 + 384*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 2. Let z be ((-2)\/3 + 1)*-6. Let y be (-6)\/4*(z + w). Solve y*s = -3*f + 12, -f - 3*f = -20 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 4*f**3 + 1. Let y be x(-1). Let g(l) be the third derivative of -l**4\/12 + l**3 - 3*l**2. Is 6 a factor of g(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1503548?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9169 - 9272 + 11*p - 45*p.\nAnswer: -34*p - 103","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 74*g - 229. Determine v(77).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 118.022 + -118.04. Put -0.2, r, -0.12, 3, 0.2 in decreasing order.\nAnswer: 3, 0.2, r, -0.12, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(315)\/sqrt(7)*-5 + 5 - (sqrt(160)\/sqrt(2) + (sqrt(5)*-1 + sqrt(5))**2 + -4).\nAnswer: -19*sqrt(5) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o - 25 + 66 - 21 - 15 + 3*o. Let h = -135 + 137. Let k(l) = -2*l - 6. Give h*k(w) + 3*d(w).\nAnswer: 2*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + 152*l - 1011. Let m be u(7). Solve 0 = -m*f + 163 - 155 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2815958 and 49068.\nAnswer: 2726","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Is 8483506621 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1208996715 to the nearest integer?\nAnswer: 34771","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 l when four letters picked without replacement from jlppzplpllplljjpppp?\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -1, -7, 1\/3, 0.5 in increasing order.\nAnswer: -7, -1, -0.1, 1\/3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 15, 6*h + s = 2*h + 193. Suppose 0 = -52*d - 305 + 825. What is the remainder when h is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2, -5, 173\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 4*t**3 + 5*t**2 - t + 5. Let k be l(4). Suppose k = 4*y + w, 2*w - 523 = -5*y - 101. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 5, 164 in decreasing order.\nAnswer: 164, 5, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 13, 2\/3, 49504?\nAnswer: 49504","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-10)*(1 + 4). Let r be (-2)\/g*(-20)\/6. Let p = 510.7 - 511. Which is the biggest value? (a) -3 (b) p (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -194716 or -584150\/3?\nAnswer: -194716","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -659.8 - -660.1143. Let n = 0.32 - z. What is n rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.01 - -0.1. Let m = 1.11 - y. Suppose 2*p = 3*u - 7, 3*p + 0*p - 18 = -5*u. Is m smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5440 - 19052?\nAnswer: -13612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 68284*d**4 - 30943?\nAnswer: 273136*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 + -14. Suppose -1 - n = -v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 0 + 0)*(4*p - 2*p + 0*p)*(-5 - 3 + 15)*((4 + 3 - 6)*(4*p**2 + 3*p**2 - 5*p**2) + 327 + 308*p**2 - 327).\nAnswer: -8680*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 13 - 11. Suppose 5 + 10 = 5*p, -12 = 5*z + p. Let s = z + w. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4+7040688\nAnswer: 7040688.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -4, -1890, 3, 37 in ascending order.\nAnswer: -1890, -4, 3, 4, 5, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*v + 11*v + h - 4, -4*h - 4 = v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - -5102)*(-80)\/25*-5. Let c be x*(4662\/(-27) - -6). What is c rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of -7*z**5\/60 - 198*z**2. Let o(i) = -4*i. Calculate u(o(v)).\nAnswer: -112*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**2 - 3*a**2 + 2*a**2 + 10 - a. Let n = 14 + -1. Let l = 13 - n. Give p(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52792?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 281154613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.13 + -121.87. Let y = 72 + o. Let n = -46 - y. Which is the closest to -0.1? (a) -3 (b) 0.4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**2\/7 + 800*r\/7 + 80000\/7 = 0. What is r?\nAnswer: -200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18245 = 46*s - 1765. What are the prime factors of 1078\/(-33)*s\/(-10)?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*n**5 + 3*n**3 + n + 5 wrt n.\nAnswer: 80*n**3 + 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 368, 14, -4, -6, 2.\nAnswer: -6, -4, 2, 14, 368","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -39*i - 43*i - 34*i + 21*i in the form f + y*i and give y.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 86636 - 33229. What is the ten thousands digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90775689 + 2892.\nAnswer: -90772797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 47*a + 2. Suppose 0 = -0*k - 5*k + 5*w + 10, k = -w. What is the units digit of y(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 411771 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5268*l = 5277*l - 5175. Put l, 1, -2 in ascending order.\nAnswer: -2, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 5*t**4 - 25*t**3 - 270*t**2 - 620*t - 440 = 0.\nAnswer: -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + (-51)\/(-15) - 26\/(-10). Suppose -o - a*l + 10 = 0, l = -4*l + 15. Let s be (o\/(-2))\/((-2)\/116). What is the highest common divisor of s and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0362 - 21.9362. Let m = s + 21.8901. What is m rounded to 3 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38542219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180660459 is divided by 33?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -525.2 + 525. What is the nearest to -1\/2 in 0.2, q, -1\/4, -2\/11?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 - 16. Let a(j) = -4*j + 20. Let n be a(l). Solve 4*g + 4*r - 16 = n, -g - r = -4*g + 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-296)\/962 + (-6244)\/(-1196) - 5.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -32*t**2. Let j(v) = -4*v. Let s(u) = -u**2 + 24*u + 85. Let d be s(27). Let c(k) = k**2 - 3*k. Let i(m) = d*c(m) - 3*j(m). What is i(w(o))?\nAnswer: 4096*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(9\/(-6)*2\/21). Suppose 228 = -27*i + s*i. Suppose 0 = -7*x + 697 - i. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of 19*y**3 + 67*y + 13. Differentiate w(l) with respect to l.\nAnswer: 114*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(900)*1)\/(1*sqrt(9)\/sqrt(3)) - (sqrt(336) + 2*sqrt(336) + sqrt(21))\/(3*sqrt(28)\/sqrt(4)).\nAnswer: 17*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 - 8*c + 12. Let p be g(-9). Suppose j = -p*j. Suppose k + 2 = 0, -3*k = -4*r - j*r + 42. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (45\/(-4))\/((-5)\/(35*12)). Round z to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.1 in 4, -2\/9, 0.3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b + 11. Suppose 4*h - g - 39 = 0, -3*h + 0*h + 4*g = -26. Let w be x(h). What is the smallest common multiple of (-2 + 0)*1\/(-2) - w and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q. Let c(l) = 278*l**2 - 40*l - 8. Let w(j) = 2*j**2 - 5*j - 1. Let h(g) = 3*c(g) - 24*w(g). Calculate a(h(o)).\nAnswer: 1572*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4*l**2 - 51*l - 116. Let q be n(31). What is the highest common divisor of 19 and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/3)\/((-14)\/(-4506)). Let w = 107 - n. What is the third smallest value in 1, w, 4\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of -2669*f**5\/20 + 645*f**4\/4 - 2685*f. What is the third derivative of c(m) wrt m?\nAnswer: -16014","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - (-9)\/5) + 1024\/20. Suppose h = 4*j + 67. Let t be (-45)\/(-4)*(-9600 - (-4 - j)). Round t to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6\/5 of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*l - 27*l - 24*l + l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 11 + (-7 - -12) + -2 - 4.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 360 and 3096.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 601 is divided by 405.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of b**5\/60 + 7*b**4\/12 + 13*b**3\/2 + 33*b**2 - 4. Determine n(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17278731?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 290351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*i**3 + 64*i**2 + i wrt i.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4*r + 140. Find the common denominator of (0 - 1)*(-427)\/r and 41\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -851.5 - -852. Which is the closest to 1? (a) 4 (b) 0.83 (c) 2\/7 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7678616629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-19)\/(-4) + (-6)\/8. Suppose -x*n - 54 = -4*g + 30, 25 = -n + 3*g. Let j = 20 + n. What is the greatest common factor of 8 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/9 + 2 + 63984\/133056 - 8\/32?\nAnswer: 2\/231","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-6) - (-11)\/((-132)\/64)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32411 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -7139545.96 minus -3264?\nAnswer: -7136281.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -405, 4, 32, -10, 0 in increasing order.\nAnswer: -405, -10, -4, 0, 4, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3*n**2. Suppose -1 = -2*u - a - 3, -a = 3*u + 1. Let t(o) = 0 + u - 1 - 2*o. Determine t(b(c)).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-26510)\/(-285) + (-139035)\/1495\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -26.01? (a) -2\/13 (b) -2\/3 (c) -3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 5*a**2 - a + 1. Calculate the remainder when 60 is divided by b(6).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4577 + 2314 = 12*u - 1423 for u.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -5*c**2 - 15*c - 2. Let b(m) = -2*m**2 - 7*m - 1. Let v(u) = 7*b(u) - 3*w(u). Let t be v(9). Let s = 98 - t. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30707979.\nAnswer: 3, 241, 42473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/11 + 390546*n + 8592020\/11.\nAnswer: -2*(n - 2148005)*(n + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 12:22 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 160 + -139 - (-13 + 9)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + 1 + 26 + 1 + 0 + -19?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1482319931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 14699718*b. Let o(t) = -20*t**2. Calculate o(x(a)).\nAnswer: -4321634185590480*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1741 and 10.2199?\nAnswer: 1730.7801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/24 of a millennium in months?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.5 (b) 3.4 (c) -2\/7 (d) 431 (e) 2 (f) 2\/19 (g) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + sqrt(567))**2.\nAnswer: -3408 - 108*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 48192447 or 96384895\/2?\nAnswer: 96384895\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12531051 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 222\/42 + 2\/(-7). Let t = m - 5. Suppose 4*x - 18 - 6 = t. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((0 + sqrt(99))*-3 - (1*sqrt(99)*3)**2) + (sqrt(99)*1*5*5)**2.\nAnswer: -9*sqrt(11) + 60989","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g**2*h + 66*g**2 - 3606*h with respect to g.\nAnswer: -2*g*h + 132*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -6*m**2 - 536*m - 1226. Give a(-87).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -528378, -2113500, -4755364, -8453970, -13209318, -19021408, -25890240?\n\"Answer: -528371*r**2 - 9*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4914 = -849*k + 170*k - 8666 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m + 3*m - 2*m**3 + 0*m**2 + 0*m**2 - 2*m**3 + (-m**2 - 5*m**2 + 4*m**2)*(2*m - m + m) + 1 + m**3 - 1 - m**3 + 3*m**3 + 0*m**3.\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 17745320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-176)\/24)*(-21)\/(1134\/(-180)).\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1885, -2500, -3531, -4984, -6865, -9180?\n\"Answer: -x**3 - 202*x**2 - 2*x - 1680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of l**9\/56 + l**5\/15 - 3*l**2 - 14. Let t(h) be the second derivative of i(h). What is the third derivative of t(u) wrt u?\nAnswer: 1080*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) - (-2 + sqrt(180))*-4) + -1)**2*-3.\nAnswer: -13743 + 1620*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 - 0.2. Let d = 22 + -12. Suppose -1 + 21 = -4*y, -y = -3*j - d. What is the smallest value in v, j, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26577180 and 15946308?\nAnswer: 79731540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -238 and -13.\nAnswer: 3094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 4 - -1 - -6 - (5 + -30 - -24).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-3 + (sqrt(1792) + -1)*-3 + 2))**2*5.\nAnswer: -3840*sqrt(7) + 322640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 280945123.\nAnswer: 83, 181, 18701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1\/3)\/((o\/(o\/(o**4\/o)*o*o))\/o)*(o**(-1\/2)*o*o)\/(o*((o\/(o\/o**(-2\/15))*o)\/o)\/o)*(o**(1\/3))**48\/((o**(-2\/5)\/o)\/(o**(1\/5)\/o)) assuming o is positive.\nAnswer: o**(179\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-29))\/(213\/6177).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 4*h + 28. Let z(a) = -a**2 - 8*a - 3. Let q be z(-7). Let c be u(q). What is the highest common divisor of 22 and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-1\/8)*l**(3\/8)\/l)\/(l**7*l**(-2\/7)\/l) assuming l is positive.\nAnswer: l**(-153\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 36 = -4*b, -4*t + 3*t = 2*b - 13. Let r be 6\/((-8)\/b) + 4*4. Suppose -r = -h + 18. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21871620 a multiple of 810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6149 and 1573?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 80 = -0*u. Let s be ((-18)\/(-15))\/((-6)\/u). Suppose s*y + 20 = 8. Sort y, 1, 4.\nAnswer: y, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 6*h + h - 3*h. Let a be t(1). Put -5, a, 5 in descending order.\nAnswer: 5, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4094 greater than or equal to 875?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -1481367, -1481909, -1482451?\nAnswer: -1482993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 + 0.3. Let q(u) = u. Let w be q(-2). What is the third smallest value in t, -1, w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -930, -3, 1, -2, -188 in decreasing order.\nAnswer: 1, -2, -3, -188, -930","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8a0 (base 11) to base 3\nAnswer: 1110221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5365161 and 4239?\nAnswer: 1413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6085482, 12170954, 18256430, 24341910, 30427394?\nAnswer: 36512882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 96763 and 318.4.\nAnswer: 97081.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (-7 + 10) - -7) + -5 + 39?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjeeejej. What is prob of sequence eje?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hxxhxhxx. What is prob of picking 1 h and 1 x?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - 32*u - 1422. Let t be b(57). Let f(d) be the first derivative of 9\/2*d**2 + 3\/4*d**4 + 3*d**3 - 6 + t*d. Determine p so that f(p) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2349 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1743 - 7132. Suppose -b = -6*b - 255. Does 35 divide h\/b - 4\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-180)\/(-16) + 1\/(-4). Let m(h) = -h**2 - 5*h + 7. Let x(n) = 3*n**2 + 9*n - 14. Let b(c) = 5*m(c) + 2*x(c). Is 17 a factor of b(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -636.222 - -5.822. Round o to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 1:29 PM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of -t**5\/60 + 11*t**4\/24 + t**3\/2 - t**2. Let a(k) = -k**3 + 5*k**2 - 4*k + 9. Let n be a(4). List the prime factors of q(n).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/2992 and 49\/401200.\nAnswer: 4413200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 99*x**2 - 3*x**3 + 5*x**3 - 13 - 97*x**2 as v*x + l*x**2 + u*x**3 + w and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -22*o**2 + 157*o - 68. Give s(6).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**3 + 10*k**2 + 75*k.\nAnswer: -5*k*(k - 5)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of 0 - 1\/2*k**3 - 4*k - 2*k**2 + 1\/3*k**4. Is 12 a factor of x(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -429685961 by -4.\nAnswer: 429685961\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -18*d**2 + 240*d - 50. Determine m(13).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1108810 to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 30\/9 + 38\/57. Solve -y + s*y = -3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/2*((-7)\/(-56))\/(11\/44). Suppose -5*o + 0*o = -65. Calculate the greatest common factor of p and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 87*p + 27215. Determine c(-313).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a**4 - 7467800*a**3 + 22403424*a**2 - 22403432*a + 7467812 = 0. Calculate a.\nAnswer: -1866953, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.28 + 0.22. Let j = z - -0.06. Which is the nearest to -1\/2? (a) 0.3 (b) j (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19*d**2 + 48707*d - 3373182 wrt d.\nAnswer: -38*d + 48707","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4965108812 to the power of 1\/3, to the nearest integer?\nAnswer: 1706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5\/177 + 15763\/354. What is the common denominator of -56\/11 and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 111 + 200*r**2 - 24 - 28 - 30 - 27 to q*r**2 + y + m*r and give q.\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86610879?\nAnswer: 3, 59, 163109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tg when two letters picked without replacement from tgt?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence thh when three letters picked without replacement from thpyhhph?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*j**2\/5 - 1044*j\/5 - 9882\/5.\nAnswer: 6*(j - 183)*(j + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29856205 + 20623700 = -436*k + 10555385. What is k rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25643301 (base 7) to base 4.\nAnswer: 20330333022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8310 (base 9) to base 11\nAnswer: 4631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in 3, -3\/5, 84\/11, -2, -11?\nAnswer: 84\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/3*(-4 - -133).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((x\/(x*x\/(x*x*x**(-2\/5)*x)))\/x)\/x)\/(x*x\/(x**(-1\/3)\/x)*x))**(-6\/35))**(5\/3) assuming x is positive.\nAnswer: x**(142\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 443100 is divided by 147645.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*u - 336772 - 216092 = 0. Suppose 3*g + 3*s - 22 = -1, 5*g + s = 55. Is u\/(-20) - g\/15 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d**2\/d)\/d)**(-3\/5)\/(((d\/d**(-2))\/d)\/d)**(10\/7) assuming d is positive.\nAnswer: d**(-71\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(3\/4))**(-1\/3)*z**(-4)*(z**(2\/35)*z)\/z assuming z is positive.\nAnswer: z**(-587\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = 1 - 25. Let v(r) = 3*r + 4. Let n be v(c). What is the units digit of (-26)\/(((-12)\/(-3))\/n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(11430\/(-88904)) - 0. Let q = t + 2\/1905. Let p = 184\/3 + -62. What is the common denominator of p and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -585*i**3 - i**2 + i + 738?\nAnswer: -1755*i**2 - 2*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + 4 - (10 - -1). Let d be 10\/(-12)*2\/n. What is the nearest to -0.1 in -5, d, -0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 32981508\/17 or 1940090?\nAnswer: 1940090","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6968.129ms to nanoseconds.\nAnswer: 6968129000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 60, 27 in increasing order.\nAnswer: 5, 27, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**2. Let d(b) be the second derivative of -3*b**2 + 7*b + 7\/24*b**4 + 0 + 0*b**3. Let l(q) be the first derivative of d(q). Determine s(l(r)).\nAnswer: 98*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 4 = 3*l. Suppose 48 = 3*o - l*o + 3*r, 3*o + 158 = 2*r. List the prime factors of o\/(-5) - 6\/(-30).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/2501 + 177556\/37515. Find the common denominator of f and (3 - (-84)\/(-3))\/(-25 - (-2 + 4)).\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 957 - 8*q + 960 - 6*q**4 + 11*q**2 - 1919 to the form m*q**2 + w*q**4 + s*q**3 + v*q + g and give m.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1197 divided by 133\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1266*a**2 + 33923*a - 33921*a - 533*a**2)*(a**2 - a**2 - 3*a**2).\nAnswer: 5397*a**4 - 6*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.759 - 0.\nAnswer: -2.759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -300 (b) -0.12 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 9*o - 6. What is the smallest common multiple of 180\/27*3\/2 and p(7)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhhh when four letters picked without replacement from hhhhhhhhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 4*k + 615, 2*q = 5*k - 2*k + 393. Let g(a) = -12*a**2 - 4*a - 2. Let z be g(-3). Let y = z + q. What are the prime factors of y?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 c, and 1 z when three letters picked without replacement from {d: 3, n: 1, z: 1, c: 3, t: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209*b + 1510275 = 4581598 + 2784230. Does 9 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 3*l - 3*u, -49 + 12 = -2*l + u. Suppose 14*q - 7 = l. Let c(b) = 3*b**2 - 3*b + 1. What is c(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24d1 (base 16) to base 11\nAnswer: 7099","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.034 + -0.033885. Round z to five dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -7. Round z to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q - z - 100160 = 8*q, 2*q + 5*z - 28596 = 0. Does 49 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 1:46 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -753, -2, 34 in descending order.\nAnswer: 34, -2, -753","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 3*m - 2*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01071615 rounded to five dps?\nAnswer: 0.01072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*l**3*v - 2*l**3 - 420*l**2*v - 8*l*v - 225*v wrt l.\nAnswer: -24*l*v - 12*l - 840*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4809*k - 21 + 25993*k + 24 - 3 to the form f + t*k and give t.\nAnswer: 30802","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/13? (a) -0.2 (b) 0.06 (c) 444\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 195033 to the power of 1\/2, to the nearest integer?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {l: 1, z: 3, v: 11}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4858 - -4858. Sort -2, -38, n, 5, 3 in decreasing order.\nAnswer: 5, 3, n, -2, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - 0) + -3 - (0 - 31 - (816 + -853)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/4 + (-1)\/4. Suppose 0 = x*r - 3*r. Solve -4*j = -2*g - 6, r = -g - 2*g + 2*j + 7 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110769276.\nAnswer: 2, 3, 9230773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 11:25 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 598 and 33074?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 4 + 8213*h - 7006*h - 5 + 2*h**2 in the form m*h**2 + s + t*h and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/14*248 - -1. Let q = y + -90. What is the closest to 1 in 0, q, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2*sqrt(5))**2 + 3 + sqrt(45) + sqrt(5).\nAnswer: 4*sqrt(5) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66 - 64 - 12 + 142 - 12*p**3.\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 + 26*r + 43. Let u be f(14). Let k = u + 374. Does 9 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207751 is divided by 12179.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2 + (-3*2*sqrt(396)*-2 + -2 + 1*sqrt(396) + 5)*2)**2.\nAnswer: -1606560 - 14976*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 152608.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -3 - (38 - 38).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.038995379 rounded to 4 decimal places?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uiuiuhiuhuuoououo. What is prob of sequence uhih?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55 and 374.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25299394277 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7, -6, -4, -2285?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1242083 and 28919?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 272 and 1241.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 13502791?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (65\/35 - 1) + 2\/14.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1619*b + d - 57 = -1623*b, 3*b + 3*d - 34 = 4*d for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5*u - 27 = -4*y, 2*y = -4*u - 14. Let v(c) = c**3 - 2*c**2. List the prime factors of v(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 7:38 AM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 + 5*f - 2. Let v be i(7). Let m = v + 25. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -354 - -527. Suppose -358 = -3*p + y. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/45 and -17\/1441810?\nAnswer: 12976290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*g**3\/3 + 44*g**2\/3 + 16*g\/3 - 176\/3 = 0. Calculate g.\nAnswer: -2, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -18*z**3 - 144*z**2 - 6*z - 57. Give f(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17547 - -18503. What is the remainder when d is divided by 120?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffkfkkf. What is prob of sequence kfk?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/6 - (-152)\/(-114)) + 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37\/148*(-4)\/5.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/14*(-1028)\/7710\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 10*s - 3. Let j be l(10). Let h(m) = m + 2*m + 2*m + m**3 - 3. Let b(n) = -n + 1. What is j*b(o) - h(o)?\nAnswer: -o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13503242 + 304?\nAnswer: 13503550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 43 and 3.4984?\nAnswer: 150.4312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-3))\/(((-286)\/(-351))\/11).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 27\/5 of a microgram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1435 (base 6) to base 16.\nAnswer: 17f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q = -50*q + 452 + 1228 for q.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llblbbbblbblrr. Give prob of sequence lrrb.\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -i**8\/112 + i**5\/15 - 6*i**2. Find the third derivative of f(y) wrt y.\nAnswer: -180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 745 + -745.1. What is the third smallest value in 2\/9, 0.2, j, 6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -a**5\/20 - a**3\/3 - 7*a**2\/2 - 20*a. Let x be q(-2). Suppose -x*j = 2*j - 1477. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-52)\/(-12)*-3 - -9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43252?\nAnswer: 2, 11, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 1:02 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 4:37 AM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 - 22*j - 68. Let v be t(-4). Solve 2*i - 4*g + 12 = 0, 2*g + v - 20 = -4*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nekkfe. Give prob of picking 1 e and 1 k.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34*j**2*l**2 + 374*j**2 - 2*j*l**2 wrt l.\nAnswer: 68*j**2*l - 4*j*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 289.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 8*p**2 + 6*p + 10. Suppose 272 - 90 = 26*y. What is w(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 - 7*c + 8. Let j be l(-7). Let b be ((-2)\/j)\/(2\/8). Let v be 41 - -1*2\/b. Solve -w = 5, -5*p - v = 5*w + 6 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 487821111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1575 + 1576. Solve -4*z - l + 13 = -4*v, -25 = -3*z - v for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4730715\/8 + 593671. Let k = 2321 - j. What is the common denominator of -109\/6 and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*b - 5*b + 0*b + (2 - 2 + 2)*(0*b + 4*b - 5*b))*(268 + 68 + 46) to t + f*b and give f.\nAnswer: -4966","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-30733)\/(-421))\/((2\/2)\/2). Solve l*d - 145*d = -8 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 54*b**5 - 38592*b**4 + 7865688*b**3 - 498239840*b**2 + 640076800*b + 650496000 = 0.\nAnswer: -2\/3, 2, 440\/3, 420","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*l + 3*w - 325 = 107*l, 11 = -2*l + l + 5*w - 54 for l.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69 - 19 + x**2 - 21 - 29.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 138968 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-50))\/(12\/40)*2\/(-8)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1207*u - 116*u - 2235 - 3220 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 2*d + 4*d)*(2*d - 3*d + 0*d)*(2*d - 9*d + d).\nAnswer: 42*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -209663 * 9.\nAnswer: -1886967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 1 - 3 + (-2 - 4 + 7)*(0 - 4 + 5))*(101 - 101 + 24*b) to the form n + i*b and give i.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -3*z, -2*k + 0*z + 4*z - 14 = 0. Suppose -35 = -2*m - k*w + 8*w, m = 2*w + 16. Suppose 3*c + 1 - 7 = 0. Solve 0 = -2*g + m - c for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -h + 3*h + 0*h + (0 - 1 - 2)*(327 - 327 + 4*h) as o + p*h and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2480693\/77 or 32216?\nAnswer: 2480693\/77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(-2 + (48\/(-4) - 0)). Suppose -g*s + 16 = -10*s. Solve 2*k = -4, s*u - 14 = 5*k - 0*k for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 151 - 151. Solve 0 = -3*f - s*f + 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llqqqlllilil. Give prob of sequence lll.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 2419\/72 and 35 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 26\/39 + (-1 - (130\/585 - (-25)\/(-18)))\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*t**5 + 6*t**5 - 3*t**5 + (1 + 4 - 4)*(t - t - t**5) + 0*t**2 - 2*t**5 + 0*t**2 - 5*t**5 + 3*t**5 + 0*t**5.\nAnswer: 8*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 228 = -0*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + -2. Let p = x - -13. What is the remainder when 24\/p*38\/(-8) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjvjljxhj. Give prob of sequence xjl.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of -2\/3*k**3 - 1\/12*k**5 + 0*k + 1\/120*k**6 + 0 - 1\/8*k**4 + 26*k**2. Calculate j(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-15)\/2*32\/(-40). Suppose 2*q - 36 = p*q. Let b = q + 18. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-175 - -244) + -33 + 1.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 + -25. Suppose a*p - 30 = -5*u, -5*p + 5*u = -0*p + 10. Solve -8 = 3*w - p for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 508359?\nAnswer: 3, 41, 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-12) + (-8)\/32. Suppose 48 = -0*b + 4*b. Let p be b\/(-20) - (-3)\/15. What is the biggest value in 3, x, p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/20129 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6469 times 0.01?\nAnswer: -64.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/5*z**2 - 4\/5*z + 2\/5*z**3.\nAnswer: 2*z*(z - 2)*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - -3 - (4 + 2 - (101 - 51)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.9106 to 1 decimal place.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 12*c**2 - c + 16. Let i be s(12). Factor -4*k**3 + i*k + 3*k**2 - 4*k**4 - 11*k + 17*k**2 - 5*k.\nAnswer: -4*k*(k - 1)**2*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 611 - -670. Suppose 5*c = l - 406. What is the greatest common factor of c and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f**2 + 40*f + 6*f**3 + 4*f**5 - 3*f**5 - 6*f**4 - 25*f - 20*f - 2*f**3 = 0 for f.\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9994896 by 8.\nAnswer: -1249362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, j: 3, z: 2, e: 6, y: 2}. Give prob of picking 2 y.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*3\/(-3)*-309. Suppose -2*f - 45 = j, -f + 5*j - 5 = 1. Let g be (-4)\/(-14) + s\/f. Solve -5*o = -3*d + 4*d, 4*d + g = -5*o for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + 5*t - 5. Let z be (-18)\/81 + (-40)\/(-18) + 28. Let p = 52 - z. Suppose -4*g + r = -r + p, -5*g = -5*r + 30. Give q(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m**2 + 125*m - 236987. What is b(261)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(36*-1))\/(33\/(-297))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -10*x - 156. Let c be o(-17). Let h(f) = -10*f + 200. Calculate the lowest common multiple of h(c) and 80.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 56, 70, 100, 152, 232?\nAnswer: 346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 38256, 38266, 38276, 38286, 38296, 38306?\n\"Answer: 10*l + 38246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1700115959 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-24*u**4 + 25*u**4 - 15*u**4)*(-42 - 8 - 20) as z*u + m*u**3 + a*u**2 + q + b*u**4 and give b.\nAnswer: 980","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*v**2 - 5*v**2 - 23*v**6 + 32*v**2 + 29*v**2 wrt v.\nAnswer: -2760*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (52\/(-234))\/((-1)\/6)*26\/((-32500)\/75).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 13*r**2 + 15*r + 24. Let a be v(-14). Suppose -2*t - 5*f + 142 = 0, -a*f + 11*f + 179 = 3*t. Calculate the lowest common multiple of 2 and t.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4\/7 + -23\/28. Let h = 9.7 - 0.7. Let k = h + -9.4. Which is the third smallest value? (a) w (b) 4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5647164692 + 0.07?\nAnswer: 5647164692.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 + (8505 + -5)\/5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4463, -4460, -4457, -4454?\n\"Answer: 3*z - 4466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4492\/13 - -378641\/1092. What is the common denominator of r and 29\/6?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 65*q**2 + 819*q + 2925. Give v(-7).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 162588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 4. Suppose 0 = 2*o - 3*v - 41, 2*o + v = u*o - 22. Let f = 245 + -20. What is the highest common factor of o and f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 178?\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/5 - (-443)\/5. Suppose 4*n - x = -29. Suppose 3*s + 3 = n. What is the remainder when 12 is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of -c**3\/3 + c**2\/2 - c - 14. Give o(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/13629 and 29\/761985.\nAnswer: 8381835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1ac + -b8ad?\nAnswer: -b701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/7)\/(5*(-22)\/(-385)). Solve 3 = d*u + 4*t + 9, -2*u - t = 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-27)\/s)**(-5\/7)\/(s**26*s**(-1\/41)) assuming s is positive.\nAnswer: s**(-245\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -3 (b) -2 (c) 359 (d) 2\/3 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7.7 and 179717?\nAnswer: -1383820.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 9*n + 7*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102)*-2)\/sqrt(6)*-4)**2 + -5 - ((sqrt(17) - sqrt(136)\/(sqrt(8)*-4)) + ((sqrt(17)*3)**2 + sqrt(17))*-3).\nAnswer: 7*sqrt(17)\/4 + 1542","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 8, 5*m - 895 = -0*d + 5*d. Let s = 181 - m. Solve s = -57*g + 56*g - 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*p + 395 + 235 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 1 = 2*a, 4*s = -a + 8 + 15. Solve 7 = s*k - 13 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 - -98. Suppose -4*w + m + g = 3*m, 0 = 4*w - 5*m - 48. What is the highest common divisor of w and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -10*x + 75. Suppose -3*q - 5*q + 48 = 0. Calculate the remainder when 86 is divided by h(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 62536?\nAnswer: 375216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*y**3 - 129*y + 61*y + 68*y.\nAnswer: -29*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 12278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 92040 and 9?\nAnswer: 276120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1450)\/240 + 6)*20\/(-5)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11049 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6857 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4101*c**5 - 704*c**4 - 93864139*c.\nAnswer: 82020*c**3 - 8448*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*c**2 - 8*c**2 + 27*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36 + 63. Let s = k - 27.1. Sort s, -2\/23, 0, 4 in increasing order.\nAnswer: s, -2\/23, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5638, 5397, 4996, 4435, 3714?\nAnswer: 2833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbvvbbbbbbbvbbbbbbvb. Give prob of picking 2 v.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 199 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4*z + 91 = -z, 5 = -z. Suppose p*l = 40*l - 14256. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 1\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from thtttkhghhtthth.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 4*g**2 + 3*g. Let r be p(-5). Solve 3*s = -6 - 6, 2*f + r = -4*s for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1142 - -1142. Let l = -51 - -35. Let p = l - -11. What is the third smallest value in p, -2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 10*m + 7. Let h = 2399 + -2390. What is b(h)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -131585121 and -2.48696?\nAnswer: 131585118.51304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 55.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -54*h**3 + 3*h**2 - 3*h + 336. Let x(v) = -54*v**3 + 4*v**2 - 4*v + 335. Let z(y) = -4*m(y) + 3*x(y). What is the derivative of z(a) wrt a?\nAnswer: 162*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-1) + (-3 - -5). Suppose u = -77*k + 71*k + 3672. Is 34 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 0) + (-18 - -17) + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -147 divided by 211?\nAnswer: -147\/211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 380104*f - 380105*f + 4*g + 21 = 0, 5*g + 5 = -3*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 12*y - 4. Let m be p(6). Let d = -63 + m. Suppose -d*o - 5*s + 145 = 20, 2*o = -4*s + 42. List the prime factors of o.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5706 (base 12) to base 8.\nAnswer: 22666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 94457.17t?\nAnswer: 94457170000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -24.4 and -3.5?\nAnswer: 20.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95019.65km to meters.\nAnswer: 95019650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**6\/f*f*f*f**(-7)*f)\/(((f\/(((f*f**(-6)\/f)\/f)\/f))\/f)\/(f*f**(-1\/3))) assuming f is positive.\nAnswer: f**(-19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zhh when three letters picked without replacement from hdchhhggqgqgzq.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11413 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/3))**(2\/53)*h**5*h**6)\/(h\/((h\/((h*(h*h\/(h**0*h))\/h*h)\/h*h*h))\/h)*h**(-5\/4))**(17\/2) assuming h is positive.\nAnswer: h**(-15725\/1272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/(-3) - 0)*-9. Suppose x*t = 3*w + 2 + 4, 5*w = t + 6. Let -2\/9 - 2*l**w - 4\/3*l = 0. What is l?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 504.9005 + -505. Let w = 0.1005 - y. Which is the biggest value? (a) w (b) 6 (c) 12\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4\/9 (b) -0.073 (c) -839 (d) 1\/2 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1249, 2896, 5341, 8986, 14233, 21484, 31141, 43606?\n\"Answer: 67*r**3 - 3*r**2 + 1187*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0851 + -0.9871. Let l = -0.098 + y. Let p = 2 + -1.96. Which is smaller: l or p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q + 15, 22*b + 4 = -2*q + 11 - 1 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -141 - -128. Put 2, 1, f in ascending order.\nAnswer: f, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -8\/1463, -5, 5?\nAnswer: -8\/1463","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c**2 + 0*c**2 + 2*c**2)*(-380*c + c + 21*c) to the form v + x*c + f*c**3 + n*c**2 and give f.\nAnswer: -358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 11567, 23156, 34745, 46334, 57923, 69512?\n\"Answer: 11589*z - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-27)\/(-6)*(-16)\/(-36). Let v be -13*((-8)\/y)\/4. Factor -29*k + v*k - 10 - 6 - 4*k**2.\nAnswer: -4*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of 16*y**2 - 25*y - 34. Let i be m(1). Solve i - 4 = -d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211880810 rounded to the nearest one million?\nAnswer: 212000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 238173899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2366 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/6, -37, 33?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -a99c (base 14) in base 4?\nAnswer: -13022132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f. Let x(h) = -273977*h**2. What is o(x(i))?\nAnswer: -273977*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -23\nAnswer: -6.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 626 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -162075 + 1293957\/8. Let z = 320 + l. Find the common denominator of -47\/18 and z.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52.14*-0.63\nAnswer: -32.8482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -16331 divided by -2333\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 9:29 PM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 134625*d**3*f**2 - 71*d**2*f**2 - 4*d*f**2 + 12*d*f + 1 wrt d.\nAnswer: 807750*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -18*h**3 + 14*h**2 + 5*h - 3. Let q(k) be the third derivative of -k**6\/20 + k**5\/12 + k**4\/12 - k**3\/6 - 5*k**2 - 6*k + 15. Give -4*b(y) + 11*q(y).\nAnswer: 6*y**3 - y**2 + 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 18288, 36578, 54868, 73158, 91448?\n\"Answer: 18290*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 6*s - 16. Suppose -s*i + 4*r - 12 = 0, -4*i = -0*i + 4*r - 20. Let x be (-1 - -3)*5\/(-65). Which is greater: x or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-807)\/4573*-2*1\/(-3).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*c + 66 = -23*c - 635 - 1543 for c.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2383 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2612572*j - 1410109?\nAnswer: -2612572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 9*i - 11. Let m be n(9). Let u = 19 + m. Let b = u - -6. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of g - 2*g**4 - 1\/3*g**3 + 1\/2*g**2 + 1. What is the units digit of o(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (12 + 341\/44)*(2225 - -3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -3*m + p + 65, 0 = 3*m + 5*p - 68. Suppose -w + 3*u = m, 2*u - 7 = 2*w + 3*u. What is the common denominator of 3\/10 and (97\/w*-4)\/12?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -x - 18, 3*x - 3*a - 222 = -100 - 104 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -432325 - 7621\nAnswer: -439946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 s when three letters picked without replacement from lgrlljsgjsxsglg?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25\/91 in 1\/4, -1\/5, 22?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 328*m + 348*m - 19*m - 7.\nAnswer: m - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -118\/87 - -176\/87. Let u = 23 - 10. Which is the closest to 1? (a) 1 (b) u (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26*t - 12*t**3 + t**2 + 39*t - 6*t**4 + 4*t**4 wrt t.\nAnswer: -48*t - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2828 = 3*c, -37*c - 11346 = -4*d - 42*c. Does 26 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 7 = 3*t. Suppose 0 = t*n - 2*l - 40, 5*n = 4*l + 71 + 30. What are the prime factors of n?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1872 divided by 2\nAnswer: -936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 30*(-2 + (-6)\/9*-6). Let z(v) = -49 + 123 - 2*v - s + 0*v. Calculate z(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 98027 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**5\/b*b\/(b**(-3)\/b))\/(b**5\/(b\/(b*b**(-2)))))\/((b\/(b*b**0))**(-1\/4)*b*((b\/(b*b\/(b**(-4)\/b*b)*b))\/b)\/b*b*b\/(b\/(b\/b**(4\/5)))) assuming b is positive.\nAnswer: b**(64\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4150 - -1202141?\nAnswer: 1210331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4*-2*(3*sqrt(242) + 3 - sqrt(242) - (sqrt(242) + (sqrt(242) + 2)*-6))*1)**2.\nAnswer: 295680*sqrt(2) + 1546624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 97391\/12 + -8111. Let t = 89\/12 + l. Let h = t - 38\/3. What is the nearest to h in -4, -2\/3, -1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3 - 35196*c**2 - 211257*c - 316926.\nAnswer: 3*(c - 11738)*(c + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/3 of a year in months?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 262 and 43480.\nAnswer: 11391760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-184*p**2 + 93*p - 93*p)*(-2*p + 3*p + 0*p) + 99*p**3 + 3*p**3 + 28*p**3 as n*p + i + z*p**2 + m*p**3 and give m.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 613 divide 29048844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 10*l**2 + 7*l - 1. Determine t(-9).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -162911085 by -5.\nAnswer: 32582217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 14*m**2 + 4322*m + 79075. Determine l(-18).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-4*(sqrt(9)\/sqrt(3) + sqrt(3))*5 - -3*sqrt(24)\/sqrt(2)))**2.\nAnswer: 55488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 9:15 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence meq when three letters picked without replacement from zzzzqzeqmzqqeqa?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -14*p - 31. Calculate z(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*z**4 - 28*z**3 + 18*z + 4*z**5 + 19*z**4 + 4*z**2 + 6*z = 0 for z.\nAnswer: -2, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -141960, -141968, -141980, -141996, -142016, -142040?\nAnswer: -142068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006879315 to four dps.\nAnswer: -0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 + -0.5. Let l = 2 + -7. Sort -0.3, l, u in increasing order.\nAnswer: l, -0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**4 - 520672*n**3 + 14056200*n**2 - 126499968*n + 379491156.\nAnswer: 4*(n - 130141)*(n - 9)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 14*-6*116\/696\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 2, 13, -6, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o\/o**6)*o*o)*o*(o\/o**5)\/o)\/(o*o*o\/(o*o**0)*o*o)**10*((o\/(o*o**(4\/5)))\/(o\/(o*o*o**(-1\/7))))\/(o**(-1))**(22\/5) assuming o is positive.\nAnswer: o**(-1629\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, c: 3}. Give prob of sequence cucu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -9) + (14 - 18)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3988685mm in meters?\nAnswer: 0.0003988685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.7473693us to days.\nAnswer: 0.00000000018226121875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 73193016*b**4 - 70990372*b?\nAnswer: 878316192*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - 6*j - 1. Let i(m) be the first derivative of -m**4\/4 - 8*m**3\/3 + 10*m**2 - 4*m - 23. Let g be i(-10). Calculate s(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -160 - -159.99916. Let m = -0.0039 + l. Round m to 4 decimal places.\nAnswer: -0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 174 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1968968 and 1722847?\nAnswer: 13782776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -25*n**2 - 3*n + 2. Let m be g(1). Let c = m + 31. Solve -c*p = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 446*w - 19 = -450*w, 5*r - 3*w + 23 = 0 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = z + 76, -4*z + 0*z = 4*u - 320. Suppose 0 = p + 4, 6*s - s = -3*p + u. What is the lowest common multiple of s and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4373738197 to the nearest integer?\nAnswer: 66134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - 14*c - 12. What is o(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - l + 5. Let d be (0\/l + 2)*4. Suppose 2*t - 2*r + 14 = 0, d = 4*t + 4*r + r. Let b(g) = g + 2. Determine b(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r + 12 = 42. Suppose -r*q - 3*v + v = -1150, 2*v = -q + 390. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22592485 to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9133 (b) 10 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n + 1696 - 2582 + 886.\nAnswer: -7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lgs when three letters picked without replacement from {g: 2, l: 2, s: 3, o: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4430233?\nAnswer: 2011, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from 76.2.\nAnswer: 73.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -892 + 895. Solve t = -6*n + 33 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 2*j - t, 4*j + 4*t = -16. Which is the second smallest value? (a) j (b) -1 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*w = -30*w - 5*j + 44, 2*j = 4*w - 88. Calculate the least common multiple of w and 136.\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -41*u**2 + 4*u + 5*u**6 - 4*u + 36*u**2 wrt u.\nAnswer: 600*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 1 = -4*j. Let i be j + (2 - 4) + 9. Suppose -s - 21 = -4*v, -1 + 0 = v + s. Calculate the highest common factor of i and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/3)\/(4\/24). Let z(t) = -t**3 - 3*t**2 + 2*t + 6. Is z(a) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -690 at least as big as -691?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/4)\/(1\/(-20)). Suppose t*r + 14 = 49. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -7*f**2 - 1\/2*f**3 + 0*f - 1\/120*f**6 + 1\/60*f**5 + 0 - 1\/3*f**4. Is y(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*s - 12*s - 13*s)*(0*s + 4*s - 2*s) + (2*s + 0*s - 3*s)*(-1 + 1 + s).\nAnswer: -11*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/sqrt(6) + 1)*-1.\nAnswer: -sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10\/4)\/(6\/12). Let x(v) = 2*v - 11. Let i be x(m). Let o(t) = 12*t**3 + 1. Give o(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 2*i - 14, 5*s - 7*i - 35 = -3*i. Let l = -2 + s. Let r be 9\/(-27) + (-20)\/(-6) + 2. Solve r*x = -0 + l for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/(-6)*-2)\/(12\/(-8)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7969306 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*w - 1111*w**2 - 56*w + 99*w - 28*w)*(1 + 1 - 5).\nAnswer: 3333*w**2 + 15*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-7 - ((-63 - -34) + 28))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 5.85. Let t = q + 0.05. Let a = 8 + -11. Put 0, a, t in descending order.\nAnswer: 0, t, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 5*j + 145, j - 144 = -s + 1. Suppose 0*a = -5*a + s. Let u be (8 - 1)\/(-48*57\/(-10944)). Is u equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**2 + 2144 - 2144.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 19, p: 1}. Give prob of picking 3 c.\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 23447192 to the power of 1\/2, to the nearest integer?\nAnswer: 4842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 2*b = 80, -2176 + 2326 = 10*a - 2*b for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -7796948375.5201929 - -7796949777. Let l = x - 1459.47980607. Let b = -58 - l. Round b to 7 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = r - 10, 3 - 1 = r - 3*y. Suppose 2*x + s - 2 = 0, 0*s = 4*s - r. Solve 2 + x = i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 c when three letters picked without replacement from {c: 2, z: 11}.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/13, -0.5, -0.3, 532\/9, 2?\nAnswer: 532\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179 - 29 = 2*u + 5*b, -12 = 3*b. Let k be (-18)\/(-15) - u\/5. Calculate the greatest common divisor of 4 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24206 is divided by 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -490 = 29*u - 43*u. Let t be (-1)\/(-2) + 36\/24. Suppose -t = -4*o + 18. Calculate the greatest common divisor of u and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 482902.624 to the nearest one hundred.\nAnswer: 482900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2 + 12 - 5*v - 6 + 0 + v**2. Give p(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 2*b - 12, -3*b - x - 64629 + 64640 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4343 is divided by 167.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -k**5\/80 - k**4\/48 + k**3\/6 + k**2\/2 + 4*k - 9. Let w(v) be the first derivative of j(v). Factor w(g).\nAnswer: -(g - 2)*(g + 1)*(g + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 7:06 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/3413 and -4\/5?\nAnswer: 17065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33281 (base 11) to base 3.\nAnswer: -2110011221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 + 6*i + 5. Let k be d(-5). Is -7 != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - -1. Let x be -7*(-32)\/56 - (7 + 0). Which is the smallest value? (a) -4 (b) 2\/17 (c) x (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -101 - -143. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 + -0.1. Suppose 0 = 3*l - 4*r + 3, -4*l + 3 - 7 = 4*r. Which is the second smallest value? (a) 2\/15 (b) l (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1412001242 (base 5) to base 3\nAnswer: -20211011211120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3881 less than 0.05?\nAnswer: -3880.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -502082, -1004112, -1506124, -2008118, -2510094, -3012052?\n\"Answer: 9*c**2 - 502057*c - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x + 13. Let p be z(-18). Sort 11, 5, p in ascending order.\nAnswer: p, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from -410366639.\nAnswer: -410366639.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 394 and 95670489?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 19, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 354805 divided by 5\nAnswer: 70961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 477 divide 55758316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 133315 and 93275?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqvgvpvffvfvpf. What is prob of picking 1 p and 1 g?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6345\/4 - -1574. What is the common denominator of 46 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -123*p. Let c be k(-2). Let o = -2704\/11 + c. Factor 0 - o*i**2 + 0*i - 2\/11*i**3.\nAnswer: -2*i**2*(i + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -263332*d - 4. Let c be h(3). Round c to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105 and 20832777.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -614 - -1044. Let n be f\/25*-5*2\/4. Is -128\/3 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4107505 is divided by 821497?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 165*o + 8069. Determine z(-49).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 377727157 and 0.3.\nAnswer: 377727157.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/8)\/(7029\/(-284)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 8*x**2 + 5882*x + 170602. Calculate v(-705).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -94*f + 14. Let w(s) = 63*s - 9. Let y(d) = -5*i(d) - 8*w(d). Let p be y(-3). Suppose 4*l - 95 = q, -l = -5*l + 4*q + p. List the prime factors of l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 12:58 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/(-9) - 16\/(-12) - -211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1484.34 rounded to the nearest ten?\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y + 4 + 15 = 3*y - 5*i, 151 = -50*y + 3*i + 66 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of g**7\/1260 - 7*g**6\/720 - g**5\/20 - g**4\/8 + 2*g**2. Let v(z) be the second derivative of s(z). Does 12 divide v(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 7*x. Suppose 0*s + 5*s = x. Put s, 1, -3 in descending order.\nAnswer: 1, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a*a**6\/a*a)\/a**(-2\/3)*(a\/(a**(-1\/2)\/a))**26*(a*(a\/((a*a**(1\/2))\/a))\/a)**(-23)\/((a\/(a\/a**8)*a)\/a**(1\/2)) assuming a is positive.\nAnswer: a**(164\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 3*t**5 - 14679*t**4 + 102654*t**3 - 234564*t**2 + 175896*t = 0.\nAnswer: 0, 2, 3, 4886","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from qqrrrrq.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 3*u = -4 + 31, -13 = -3*r - 5*u for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.447597 and -163757433.\nAnswer: -163757433.447597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -13.999 and -5?\nAnswer: 8.999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3313, -2920, -1843, 260, 3731?\n\"Answer: 57*u**3 - 6*u - 3364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 2 - 12) + (3 - 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1114, 4, -42 in decreasing order.\nAnswer: 1114, 4, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - 17 - (-1 - (-2 - 2)) - -11?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*w**3 - 206231605*w**2 - 709045012*w.\nAnswer: -12*w - 412463210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 2*t**2 - 5*t + 2366. Is 16 a factor of l(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 11*m - 13. Let x be r(7). Let g = x - 15. Let i(o) = 2*o**3 - 3*o**2 + 1. Let v be i(2). Solve g*q + q = -v for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -106661841.852999722 - -106661842. Let g = -0.147 + i. Round g to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (475*x - 7*x**2 + 55*x**2 - 47*x**2)*(0 - 1 - 4)*(1 - 1 - 2).\nAnswer: 10*x**2 + 4750*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 2\/5, 0, 26, -51, 2\/7, -4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 34*x - 1526. Calculate l(-26).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of -x**6\/480 + x**5\/120 - x**4\/96 + 17*x**2. Factor i(y).\nAnswer: -y*(y - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - (0 - (2 - 1)). Suppose -4 + 1 = -t + l, -3*t + l + 7 = i. Let c = 2 + t. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(88) + -3*(sqrt(88)*-1 + sqrt(88)))\/(-3*(sqrt(8) - -4*sqrt(8)) + sqrt(8) + sqrt(8)).\nAnswer: -sqrt(11)\/13 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(4 + ((sqrt(243) + 1)*-6 + -3 - -2*2*sqrt(243)*1)))**2.\nAnswer: 1620*sqrt(3) + 8973","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of 8*t**3\/3 + 7. Let x(g) = -g. What is x(c(h))?\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of z**5\/5 + 7*z**4\/3 - 82*z**3\/3 + 66*z**2 + 59*z - 2. What is b in s(b) = 0?\nAnswer: -11, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 514091?\nAnswer: 67, 7673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 43616128 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of 5*d**4\/4 + 19*d**2 + 37. Find the second derivative of r(j) wrt j.\nAnswer: 30*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -14 (b) 3\/8 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8058443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 3. Suppose -4 = -2*p - c. Suppose -3*f + 5*n + p = 0, 0 = -3*f - 4*n - 0*n - 17. Let v(t) = -t**2 - 5*t - 3. Calculate v(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 4*q - 20 = 0, 0 = 2*w + 12*q - 853 + 863 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -36, -13, 60, 207, 452, 819?\n\"Answer: 4*j**3 + j**2 - 8*j - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -159*h + 7. Let g be y(-1). Let p = g + -95. Is p a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sigs when four letters picked without replacement from {b: 4, s: 3, i: 4, j: 2, g: 1, z: 1}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 12*k + 9. Let i(g) = -45*g + 39. Let p be i(1). Let f(h) = 11*h + 8. Determine p*f(o) + 5*t(o).\nAnswer: -6*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by 24?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1210102112 (base 3) to base 4.\nAnswer: -20213213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 8 = 2*h - 1, -14 = -5*h + 3*b for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/727640 or 0?\nAnswer: 3\/727640","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Put 4, 11, -3, -9 in ascending order.\nAnswer: -9, -3, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - (6 + -4)) + 227. Calculate the greatest common divisor of k and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.2 - -2.5. Let w = -0.104 + 5.104. Sort u, w, -2\/3 in increasing order.\nAnswer: -2\/3, u, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -55 + 81. Let q = 748 + -438. What is the remainder when q is divided by n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 99.1? (a) -4 (b) 5 (c) -1\/2 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + -7. Let h be (a - -5) + 0 + -2. Let b = 15 + h. Solve -3*m - b = 2*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 2*u - 33. Let i = 25 - u. What is the lowest common multiple of i and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 11) in base 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2595898 is divided by 648580?\nAnswer: 1578","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*2*sqrt(1584))**2 - 1*sqrt(1584)*5)*-6.\nAnswer: -950400 + 360*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + 21\/6 + (-910)\/(-20). Let r = 304 - y. What are the prime factors of r?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*(-7 - (-285)\/40)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -230 + -3465?\nAnswer: -4025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/3, 0.3, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 358.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 491998150 - 491998334.0000099. Let p = t - -184. Round p to 6 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 - -7. What is the remainder when 134 is divided by w?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1292, 2, -208211.\nAnswer: -208211, -1292, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -154.9006989 - -154.885. What is p rounded to 3 decimal places?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -41405*j + 2250 with respect to j.\nAnswer: -41405","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q**3 + 0*q**3 - 7*q**3 + (-q + 0*q + 0*q)*(0 + q**2 + 0) - q**3 + 2*q**3 + q**3 as z + l*q + s*q**3 + v*q**2 and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 193495123 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 - (580\/144 + 0). Is t bigger than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/14)\/((g**2\/g*g)\/g))**13*(g\/((g**(-7)\/g)\/g))\/g*g**8*g*g\/g**8*g\/g**(-3) assuming g is positive.\nAnswer: g**(15\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*z - 4*z - 2*z**2)*(5*z**2 - 5*z**2 - 3*z**2) + (-2*z**2 + 0*z + 0*z)*(-4*z**2 - z**2 + 6*z**2) to q*z + w*z**2 + x*z**3 + s + m*z**4 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9083486 to two decimal places.\nAnswer: 0.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/20, 1\/2, 0.1, -1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8\/17 - 70\/221. Which is the second smallest value? (a) -2\/3 (b) 4 (c) -5 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of 2*p**6\/15 - 3*p**5\/5 + p**4\/3 + 2*p**3 - 4*p**2 - p + 17. Factor m(v).\nAnswer: 4*(v - 2)*(v - 1)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-16)\/x)\/(x\/(x*x**(-3\/10)))*x\/x**4*x**(-6\/11))**(6\/31) assuming x is positive.\nAnswer: x**(-6549\/1705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14247896 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -11 + -4 + -3 + -5 + 5?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -9 - ((1 - 2) + 1). Let a = -8 - c. Suppose -2*w + 5 - a = 0. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**4*w - 9*b**4 - 4*b**3*w + 2*b**3 + 1274*b**2*w - b**2 - 7*b + w wrt b?\nAnswer: -48*b*w - 216*b - 24*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 4. Suppose -1501 = -3*p - f, -4*p + 0*f = -s*f - 1995. What is p rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 36*u**2 + 709*u + 261. Calculate k(50).\nAnswer: 711","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -3*b + 51, -4*t + 4*b = -9*t - 255. Let c = t + 84. Suppose 7 = 5*o - c. What is the greatest common factor of 72 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 333*s**2 + 343*s**2 - 1026*s**2 + 343*s**2 + 2.\nAnswer: -7*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 4 + 3 - 4 + 3 + (0 + 0 - 1)*(1 - 1 + 2) + 3 - 1 - 4)*(0*r + r - 2*r)*(114*r + 67*r + 246*r)*(3 - 4 - 2).\nAnswer: -10248*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 3*p**2 + p + 1. Let s be q(3). Let l be (-3*s)\/(-2)*5. Calculate the greatest common divisor of 6 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -4, 0.2, -5, 7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 - (-3 - (-4 - -5)). Let a(v) = 4*v**2 + w*v**2 + v**2. Let j(d) = -2*d. Determine a(j(h)).\nAnswer: 52*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vzjmmzjmmzmmzjmjmmzm. Give prob of sequence vv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000034 rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q + x = 94 - 72, -q = 2*x - 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*a + 6. Let t = a + 9. What is the remainder when 2*1 - (-23 + 2) is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in twenty-one halves of a millisecond?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxk when three letters picked without replacement from xwxxxxxxwwwwxwwkxxwx?\nAnswer: 11\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*n = 18*n + 192. What is the first derivative of -26*m**4 - 18*m**4 - 6*m**3 - 28 + n*m**4 + 0 wrt m?\nAnswer: 16*m**3 - 18*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10.1 + 1.4. Let f = 4.9 + 1.6. Let s = f - o. Which is the closest to -1\/2? (a) 0.3 (b) 5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 414*l. Let u(g) = -5*g - 14. Let x(w) = -3*w - 8. Let b(z) = 4*u(z) - 7*x(z). Calculate d(b(i)).\nAnswer: 414*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -272837721 times -5?\nAnswer: 1364188605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241*h - 459 = -244*h. Calculate the remainder when 473 is divided by h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -150757 or -150755?\nAnswer: -150755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.192936696 rounded to 2 decimal places?\nAnswer: 2.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64463 is divided by 408?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7.99231068 - -4.42746\nAnswer: 12.41977068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268*c = w + 263*c + 25, 0 = -w + 10*c - 50 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k + 2. Let z be v(4). Suppose 0 = 2*w - 257 - 105. Let g = -181 + w. Solve -4*a = 5*n + z, g*n + 5*n = 4*a - 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of l**4\/4 + 2*l**3\/3 - 2*l**2 - 7*l - 1068. Calculate i(-5).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111212031 + 2?\nAnswer: -111212023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.05 - 0.08. Let o = j + -0.17. Let b = 0.2 + o. What is the smallest value in -0.5, b, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -104 - -230. Let w be 2\/(-9) - (-56)\/u. Factor 2\/9 + w*x**4 - 4\/9*x**2 + 0*x + 0*x**3.\nAnswer: 2*(x - 1)**2*(x + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 6359 = 1559. Suppose 2 = c - 2*j + 5, 3 = 3*c - 2*j. Suppose 4*u = c*u + m. What is u rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c + c**2 - c**2 + 3 + c**2 + 0*c. Let d be i(0). Differentiate -3*s**2 + 2*s**2 + s**2 - 6 - 7*s**d wrt s.\nAnswer: -21*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/28 of a week?\nAnswer: 64800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13.7 - 0.3. Let n be 4\/30 - (-16)\/(-20). Let i = 233\/5 - 704\/15. Which is the nearest to i? (a) y (b) -1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35518842*k**5 + k**3 + 27015*k**2 - 1130 wrt k?\nAnswer: -2131130520*k**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -4*r + 2, -2*m - m + 4*r = 10. Let c = -1.4 + 1.1. Sort c, -4\/3, m.\nAnswer: m, -4\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from rrdhorsdrrbhh?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((12\/48)\/(40\/(-32)))\/((-2)\/(-16)).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(27)\/sqrt(3)) + 0.\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(2 + (-123)\/61). Suppose 5*r - t - 139 = 0, 5*r - 82 - m = -3*t. Solve 2*u = -5*y + r, 2*u = 8 - 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1661 - -10.8305. Let f = q - 11. Round f to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 199 and 1194?\nAnswer: 1194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 at most 1611.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*t**2 - 131 - 129\/2*t.\nAnswer: (t - 131)*(t + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 bigger than -31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 798 divided by -4715\nAnswer: -798\/4715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 522 + 19*x + 14*x - 70*x + 15*x + 20*x to the form c*x + q and give q.\nAnswer: 522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*b - 8*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, -52, 1 in decreasing order.\nAnswer: 47, 1, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -3\/4, -12\/5, -5, 4929?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 98\/407 + 79787\/1628. Solve -7\/8*o**5 - g*o**2 + 9*o**4 - 33\/2*o + 9 - 111\/8*o**3 = 0.\nAnswer: -1, 2\/7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1769227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 19, 11, -15, -65, -145, -261?\nAnswer: -419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -107*z + 1\/20*z**5 - 13\/2*z**2 + 0 + 0*z**3 + 1\/12*z**4. Give s(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 0.2, -9077, 2, -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1378522845 less than or equal to 1378522846?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/3)\/(5\/(-3)). Let f = -4 - -4.8. Let i = 0.9 - f. Which is the closest to i? (a) -0.5 (b) 1\/3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((-144 - -153) + (2 + 0 - 5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34775523?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 27989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(245) - (1 + sqrt(245) + sqrt(245))) + -5 - (-4 + sqrt(245) + sqrt(245) + 0))**2 - (((sqrt(70)*-1)\/sqrt(7))\/(-3*sqrt(72)))**2.\nAnswer: 168*sqrt(5) + 1431427\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -4*g - 15 + 7*g - 6 + 100. Calculate the lowest common multiple of 33 and h(-24).\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*a - 101*a = -280, -3*a - 20 + 3 = 2*u - 9 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 99*s + 21. Let x(a) = -218*a - 42. Let h(n) = -11*p(n) - 5*x(n). Suppose w - g - 12 = 0, 18 = w + 2*g - g. What is h(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a century in months?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.8 - 3.8. Let h = -5 - w. What is the second smallest value in h, -3, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*2*(-2)\/(-6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 253 - 100333?\nAnswer: -100040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.6 in -3\/2, 14, 1\/1752?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 243358700 to the nearest integer?\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zjjjeizjzzjee. What is prob of sequence ije?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7613849 to the nearest integer?\nAnswer: 2759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of 1\/2*o**4 - 113 - 68\/3*o**3 + 86*o**2 + 0*o. Find the second derivative of t(b) wrt b.\nAnswer: 12*b - 136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*v**2 - 8 - 5*v**2 - 4*v**2.\nAnswer: 2*v**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10530 and 248022.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t - 4*t - 2*t)*(4*t + 0*t - 2*t)*((-1 + 1 + 3)*(2 - 5 - 1) + (0 + 0 + 2)*(2 + 0 + 0)).\nAnswer: 32*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -1, 71?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 12, -2\/1805, 76?\nAnswer: -2\/1805","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/5, -12, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 422 a factor of 511464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 940*y + 1085*y - 175*y + 133*y to the form i*y + c and give i.\nAnswer: 1983","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/9)\/((-4)\/(-18)). Let u(z) = 7*z**2 + 3*z + 13. Let p(w) = -4*w**2 - w - 7. Let n(k) = c*u(k) + 5*p(k). Calculate n(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 7. Solve -7*r = -f*r - 2*y - 6, -5*y = -r + 15 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16 + (3 - (-4 - -9)). Let a = 42 - f. Find the common denominator of a\/98 + 832\/126 and -11\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 1. Let g(j) = 11*j**2 + 30*j + 20. Let o(b) = -3*b**2 - 4*b - 1. Let c(x) = g(x) + 4*o(x). What is the units digit of c(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-20)*t*t\/(t*t**(-2\/5))*(t**(-6)*t)**(-5\/2) assuming t is positive.\nAnswer: t**(-61\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141*o + 103*o - 146*o - 3.\nAnswer: 98*o - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4852 - 4843. Suppose 4*t + 3*v = 119, -3*v + 5 = -2*v. Let c = t + -3. Calculate the remainder when c is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 966, 71, 5.\nAnswer: -1, 5, 71, 966","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5748 = -964. Let z be 18\/8*(4836\/(-9) - -1). Let m = z + h. Find the common denominator of 14 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81024*m = -80196*m + 90252 for m.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (18\/(-2))\/(3\/18). Let g = 58 + i. What is the highest common divisor of g and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from vvvvvvwv.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/(-9)*(-2 - 5\/(-10)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -97 - -4?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 5*x - 0*x + 107, 79 = -3*g - 2*x. Let h = g + 42. What are the prime factors of h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 5*k - 4*k + 62, 3*k = -3*d - 93. Find the common denominator of d\/12 + ((-2)\/4 - -2) and -121\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1417 - (-1 - 2 - 0). What is b rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 135\/25 + -5 - 24\/35.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -4. Suppose -3 = -c - m. Put 4, -2, c in increasing order.\nAnswer: -2, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 870 and 0.4.\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of 17*b**3\/3 - 21*b**2\/2 + 4*b + 1. Let f = -3 - 3. Let g(z) = 4*z**2 - 5*z + 1. Let x(y) = f*k(y) + 26*g(y). Factor x(p).\nAnswer: 2*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -8*o - 8. Let h be s(-2). Let r be (10\/h)\/(0 - 5\/(-80)). Let v = 20 - r. Solve 4*w - 20 = -v*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (64 + -60 + -17 + 10 - (-1 - 6)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74, 163, 250, 335, 418?\nAnswer: 499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 - 4350*z - 253168. What is q(-59)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58, -43, 64, 263?\nAnswer: 554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 42549874 to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (4*3*sqrt(132))\/(sqrt(33)\/sqrt(704)*4).\nAnswer: 3 + 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*n = 12*n + 15. Suppose n*o - 11*o - 40 = 0. Sort 0.4, o, -4, 4 in descending order.\nAnswer: 4, 0.4, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q + 11. Let d be y(-8). Suppose -w = -4*w - k + 14, 0 = 2*w - 4*k - 28. Solve -d*j - w*x = -2*x + 1, -25 = -j + 5*x for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 271045 = -26*u + 271071. Let h(y) = -2*y**3 + 2*y - 3. Let z be h(2). Let t be 30\/14*(-9)\/z. Is u < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 5*p + 2, -19389*k - 32 = -19391*k - 12*p for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -220?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3 and -0.271268.\nAnswer: 0.028732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -40322 and -98?\nAnswer: 3951556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13916*g**3*r + 244514766*g**3 + 1457*g**2*r wrt r.\nAnswer: 13916*g**3 + 1457*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 197947 times -11?\nAnswer: -2177417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 12*t - 14*t + 2*z, 0 = 3*t + 4*z for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) 1\/4 (c) 0.4 (d) 0.31 (e) -0.138 (f) 0.2 (g) -44\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8) + sqrt(8)*2 + -3 + sqrt(2) + -5.\nAnswer: -8 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of s**5\/12 + 25*s**4\/12 + 125*s**3\/6 - 45*s**2\/2 + 14*s. Let w(d) be the first derivative of n(d). Factor w(u).\nAnswer: 5*(u + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 831809\/4 - 15841595\/76. Let b = -557087\/1140 - s. Calculate the common denominator of b and 59\/2.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2381 + -1811. Calculate the smallest common multiple of 18 and r.\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16.4 - -41. Let p = 3.6 - b. Let n = 21 + p. What is the smallest value in -0.2, 0.5, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = -23*w + 5*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8170 = 3*o + 18*h - 23*h, -2*h = 2*o - 5436. Calculate the least common multiple of o and 100.\nAnswer: 13600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 187314 to the nearest integer?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 35, 37, 51, 83, 139, 225, 347?\n\"Answer: r**3 - 5*r + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/2724120 and -17\/47823440.\nAnswer: 430410960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1787 - -152?\nAnswer: 1909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mjjj when four letters picked without replacement from jmjmmmmmjm?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1730982260 + 2?\nAnswer: -1730982258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20842*d**5 + 90*d**4 + 25391004*d**2.\nAnswer: -1250520*d**2 + 2160*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + q + 5 + 15 = 0, -2*h + 8 = -4*q. Let u be 1 - h\/(-1) - 45. Let y = -16 - u. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 12*t - 38. Suppose s - 1 = 2*a - 18, -t*s = a - 13. What is the greatest common divisor of a and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176 is divided by 660\/9 - (-52)\/(-39)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 3*q - 314, -4*r + 4*q + 238 = 2*q. What is the remainder when 240 is divided by r?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 347254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**2 - 103*a + 414. Give g(47).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 1\/5, -2\/11, -2\/29, -3 in descending order.\nAnswer: 1, 1\/5, -2\/29, -2\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 79744 and 832.\nAnswer: 1036672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 l when two letters picked without replacement from {v: 1, h: 1, e: 1, f: 1, l: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -89 - -136 - (4 - -11 - -1)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**9\/(i\/i**(1\/19)) assuming i is positive.\nAnswer: i**(153\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - r + 1. Let z(s) = 21*s**2 - 6*s + 9. Determine -4*w(v) + z(v).\nAnswer: 17*v**2 - 2*v + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - -23) + (-4 - -2). Let q = f + -17. Suppose 0 = 2*u + 3*h + 11, q = -h + 2*h + 5. Solve 0 = d + 2*w + 5, w = -d + u - 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132052042 (base 6) to base 7.\nAnswer: 31160351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a minute in seconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*2\/4*4\/12.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(3\/14)\/(t\/((t\/(t**(-2\/17)*t))\/t*t)) assuming t is positive.\nAnswer: t**(-159\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 67ee78 (base 15) to base 16\nAnswer: 4bb372","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1028*i - 1018*i - 285 = 3*s, 0 = -5*i + s + 140 for i.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181253?\nAnswer: 181253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 6*u**2 - 6*u - 4. Give z(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-35 - 2) + (46 - 93) + 40 + -7\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17 and -1.1.\nAnswer: 18.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - 3*r - 8. Let h be w(-6). Let d(i) = 40*i - 106. Let p be d(2). Is p at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -p + 6 + 6, 0 = -4*p. Suppose -3*n - 3*q - r = -6, 0 = -4*n + q + 24. Let l(t) = t**2 + 6*t. Let d(z) = z**2 + 5*z. Give n*d(i) - 4*l(i).\nAnswer: i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-68)\/448)\/17)\/((-8)\/64*2).\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.1 + 35.1. Let n = j - 33. Which is the third smallest value? (a) -0.17 (b) 5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4987564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 714 and 15078?\nAnswer: 256326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p - 2*a - 12, 3*a + 6 = 5*p - 14 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 522302500 rounded to the nearest one hundred thousand?\nAnswer: 522300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/221 or 769740\/13?\nAnswer: 769740\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 7*x**2 + 14*x + 5. Let z be v(-2). Let j(w) = -2*w - 6. Let n(i) = 3*i + 10. Let o(a) = z*j(a) + 3*n(a). Let y(p) = -4*p - 9. Calculate y(o(q)).\nAnswer: 4*q - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((-5 + -3 + sqrt(288) - sqrt(288))**2 + -4)*-1 + 4).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1751346 - -3451346. What is q rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2016943, -2016947, -2016951, -2016955?\nAnswer: -2016959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 260 and 12600?\nAnswer: 163800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 73\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -3*a - 1332, -3*z + 1700 = 2*z + 5*a. List the prime factors of z.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, y: 7, x: 8}. Give prob of sequence yoo.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/22)*i*i)**(-26)\/(i**(-12\/11))**24 assuming i is positive.\nAnswer: i**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -41, -65, -103, -155, -221, -301, -395?\n\"Answer: -7*v**2 - 3*v - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 349130203?\nAnswer: 3203, 109001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 25.74, 5, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 272 = 4*x - 3*t, 0 = 5*x + 2*t - 375. Let n = 40 - x. Let m be 0 + n\/12 + 3. Which is the biggest value? (a) m (b) -5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - m - 1. Let u(i) = -4*i**3 - 2*i**2 + 4*i + 2. Let a(t) = t**2 - 30*t + 142. Let q be a(24). Determine q*s(g) - u(g).\nAnswer: 2*g**3 + 2*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 286 divide 110918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 951909 and 13689358?\nAnswer: 287476518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29115 and 2646.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 + 29.35. Let r = -0.95 + p. Sort 0.2, r, -2\/3 in ascending order.\nAnswer: -2\/3, r, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 2481.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 73 = -2*q + o, 4*q - o = 125. Let v be (-1*2\/(-10))\/(q\/(-40)). Which is the nearest to -0.1? (a) v (b) 0.2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 497*g - 246*g - 251*g + 205*g**2 - 129*g**2.\nAnswer: 76*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44458756\/2637383 - 2\/376769. Let j(k) = -k**3 + k**2 + 16. Let r be j(0). Is z < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*d**2 - 4*d**2 + 2 - 2*d**4 + 17*d**3 - 17*d**3 to the form m*d**2 + i*d + k*d**4 + f*d**3 + o and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2289 is divided by 1081.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237697?\nAnswer: 251, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 319140*f*r**3*x - 8*f*r**3 - f*r*x - 108*f*x - 3*f - 2*r**3*x - 42*r**2*x + 45*r - 3 wrt r.\nAnswer: 1914840*f*x - 48*f - 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b**2 - 8*b - 8. Let v(k) = k**3 + 7*k**2 - 17*k - 16. Let p(g) = -9*q(g) + 4*v(g). Is p(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 23078344*d + 312. Let k be t(2). Round k to the nearest 1000000.\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 33573?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 0.1, -2, 1, 0.64 in increasing order.\nAnswer: -2, -1, 0.1, 0.64, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o**0*o)))**(-33)\/((o**(-2\/3)*o)\/(o\/(o*o*o\/(o\/o**0)*o))) assuming o is positive.\nAnswer: o**(-106\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2. Suppose -2*r + 12 = 3*r + t, -4*r = -5*t + 2. Let a(d) = -d + 12. Let u(j) = j - 11. Let m(c) = 4*a(c) + 5*u(c). Calculate r*m(x) + 7*i(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19\/((-171)\/108))\/((-27)\/(-36)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223571 is divided by 1775.\nAnswer: 1696","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-94)\/4 + (6\/10)\/(12216\/(-10180)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4160\/(-24))\/(-26)*25\/(700\/(-273))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, h: 2}. What is prob of sequence kkhk?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of 0*r**6 - 8\/21*r**7 + 0*r**2 + 0*r**3 + 113\/4*r**4 + 108*r - 1\/5*r**5 + 0. What is the third derivative of g(h) wrt h?\nAnswer: -960*h**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-21)\/10*(-125)\/150?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.058 times -46?\nAnswer: -2.668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -258517 divided by 7?\nAnswer: -36931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 180001186847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 17)*(3*z - z + 0*z) + (-2*z - 3*z + 2*z)*(-4 + 0 + 2).\nAnswer: -28*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2, -22, 1.\nAnswer: -22, 1, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = p, -4342*d = -4332*d - 5*p + 105 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -2*q + 450, -3*w + 337 = -6*w + q. Let s be w\/(-12) + 3\/(-9). Calculate the highest common divisor of 72 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j - 2*j + 2*j + 253*j**3.\nAnswer: 253*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 954771 = -31*m + 955112 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76508.05 kilograms to grams.\nAnswer: 76508050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 0\/(-2) + (-1)\/(3\/(-1569))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 296212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*p = 193*p + 495. Which is the closest to 58? (a) -2 (b) -0.5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 558052*p + 25670397. What is y(-46)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 7:03 AM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (2*1\/7)\/((-194)\/(-388))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + 0)\/((-6)\/4). Let u be 112\/18 - p\/9. What is the common denominator of 85\/(-6) + 2\/u and -149\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f - 4*f + 7 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, a: 2}. Give prob of sequence baa.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -3*v + 11 + 11, -5*u - 30 = -5*v. Suppose -g - 3*o + 8 = 0, v*g - 2*o + 12 = -o. Let c be (4\/6)\/(g\/6). Which is smaller: c or -7\/6?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13.6 - -7.8. Let b = v + 5.3. Suppose 3*u - 4 = 2*u. What is the second biggest value in 0.1, b, u?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a + 4 + 0*a + 4. Let x(t) = 966 + t + 0*t - 509 - 457. Calculate x(p(b)).\nAnswer: -b + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-714)\/(-4 + (-3 - -6)). Let r = v - 661. What is the remainder when r is divided by 23?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35 + -35. What is the units digit of (y - (-2)\/(-8)) + 5986\/328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2276 divided by 4.\nAnswer: -569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**2 + 1253 - 2490 + 1237.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 - 5*g - 4. Let t(p) = 196*p - 464. Let s(m) = t(m) - 4*u(m). Let s(l) = 0. Calculate l.\nAnswer: -56, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*x - 252 - 2*x**2 + 119 + 133.\nAnswer: -2*x**2 + 22*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 6:03 PM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8746 is divided by 795.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*p - 19*p + 15 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 245488 a multiple of 268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, y: 2, i: 3, d: 2}. Give prob of sequence yi.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 12*r**2 + 11*r - 11. Give w(-7).\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 4*p**2 - 7*p. Let j be 2*1*(-485)\/(-194). Let f(r) = -2*r**2 + 4*r. Determine j*f(v) + 2*w(v).\nAnswer: -2*v**2 + 6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1.819248l?\nAnswer: 1819.248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2054537010?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 5*n + 12. Which is the closest to 13? (a) 1 (b) n (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 3*g - 7*g**2)*(-4*g + 3*g + 5*g) + (-4*g**2 + 4*g**2 - 2*g**2)*(0*g + 2*g - g) + 2 - 7*g**3 - 2.\nAnswer: -37*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -717*u - 1067 - 24583 = -5574 for u.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 1. Let o(k) = -5*k**2 + 18*k - 3. Let s(y) = -o(y) - 3*p(y). Find the second derivative of s(z) wrt z.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 11\/3?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*f + f = -f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -147 (base 9) to base 6\nAnswer: -324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2240, -2259, -2296, -2357, -2448?\nAnswer: -2575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -193\/22 or -9?\nAnswer: -193\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -2*m - p, 3*m + 35 = 15*p - 13*p for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-24)\/14*3925\/(-25)*77?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0\/j**(-7)*(j*j**8*j*j)\/j*j*(j\/(j**(1\/5)\/j))\/j)**(-1\/25) assuming j is positive.\nAnswer: j**(-94\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h + 0*h + 0*h + (-24 - 13 + 15)*(-h - 5 + 5).\nAnswer: 21*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-72.\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z. Let k(a) = -3*a. Let r(l) = -8*f(l) + 3*k(l). Let q be 5*39 + (-9 + 5 - -2). Let u(p) = 94*p**2 - q*p**2 + 98*p**2. Calculate u(r(o)).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 5. Let t(i) = -i**3 + 24*i**2 - i + 26. Let s be t(24). Suppose j*f + 4*k = 60, -5*f - s*k - k = -75. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 130 + -136.7. Let h = 7.2 + y. Let u = -0.11 - 9.89. Which is the nearest to 1? (a) u (b) -2\/9 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000000782 rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 divided by 41?\nAnswer: 630\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.8384 + 376869?\nAnswer: 376848.1616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + (-17 - (2 + -8) - -9) + 8?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/15 and 5120\/(-3132) + 14\/(-203).\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1010 - -1551341?\nAnswer: 1550331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 854*p - 163650. Calculate d(192).\nAnswer: 318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -17428 and 1739673.5?\nAnswer: 1757101.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1309\/1836 + 4\/(-6). Let s(j) be the third derivative of 0*j - 2\/135*j**5 + 0 + j**2 + c*j**4 + 1\/540*j**6 - 2\/27*j**3. Factor s(r).\nAnswer: 2*(r - 2)*(r - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19762 is divided by 1795?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1022952 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34980 - 69831 = 20385*u - 23271 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.41*8073.2\nAnswer: -3310.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*b**3 + 24*b**3 - 65*b**3 + 2637 - 1333 - 1304.\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 161\/60 and 113\/744?\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/4, -20462, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l - l + l. Let k = -1856 - -3149. Let b(u) = -k*u**2 + 646*u**2 + 639*u**2. What is d(b(m))?\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -25353*c**4 + 2*c**2 + 96199 wrt c?\nAnswer: -101412*c**3 + 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(189\/14)*(-18)\/15. Factor l*q**2 - 2\/5*q**3 - 2\/5*q + 0.\nAnswer: -2*q*(q - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 99876782?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 191995471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -11*r**4\/24 - r**3\/3 - 3*r**2. Let n(u) = 23*u + 3. Let t(d) = -5*f(d) - 2*n(d). Differentiate t(z) wrt z.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -34, -193, -458, -829, -1306?\n\"Answer: -53*s**2 + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44)\/(-5)*(-60)\/(-48)*(-8 - -6)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8123 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**1)**0)**(-1)*((h\/h**3*h)\/h*h)\/h**5*((h\/(h*h\/((h\/((h\/(((h\/h**5)\/h)\/h))\/h))\/h))*h*h*h)\/h)\/(h**(-2\/21)\/h*h) assuming h is positive.\nAnswer: h**(-229\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-84)\/(-70)*(920\/(-3))\/(-1). What is the greatest common divisor of y and 230?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -6*i**5\/5 + i**4\/2 + 6*i**3 + 3*i**2 - 4*i - 137. Find w such that n(w) = 0.\nAnswer: -1, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 36, -5, 8, 0, 3 in descending order.\nAnswer: 36, 8, 3, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-4) + (-105)\/420?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 192 = 11*m. What is the remainder when 65 is divided by m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 138, 199, 278, 381, 514, 683, 894?\nAnswer: 1153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 484 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 428 and 535.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = o + 4*f, 3*o + 5*f - 4*f = 7. Suppose 2*t = 5*g - 185, -3*t = g - o*t - 30. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174447.\nAnswer: 3, 7, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(3\/4) - 16. Let f = 19\/2 + m. Which is bigger: f or 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -299*b**3 - 196*b - 5*b**2 + 5*b**2 + 6*b**2 + 196*b.\nAnswer: -299*b**3 + 6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -10*r - 17. Calculate z(7).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 24503994 to the power of 1\/2, to the nearest integer?\nAnswer: 4950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1376 + 1410. What is the remainder when 985 is divided by d?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7822 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4 (b) 3 (c) -0.02 (d) -0.4 (e) -53 (f) 5 (g) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = y, 50 = -5*y - 199*g + 194*g for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/11, -0.3, -1\/12, 2\/15.\nAnswer: -0.3, -1\/12, 1\/11, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.22 + -0.08. Let a = 3\/949 + -1907\/2847. Sort 0.2, -1, a, h in decreasing order.\nAnswer: 0.2, h, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -7*c. Let a(p) = -2*p**2. What is a(b(y))?\nAnswer: -98*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70164120 and 39360?\nAnswer: 4920","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away 124.4?\nAnswer: -124.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 5*m**2 + 5*m - 5. Let t(n) = n**2 + n. Determine -5*t(i) + w(i).\nAnswer: -i**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -0.1, 2\/9, 23 in decreasing order.\nAnswer: 23, 2\/9, -0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (8\/4)\/((-18)\/(-29637))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 216864701 to the power of 1\/2, to the nearest integer?\nAnswer: 14726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22159*m + 9484*m - 2887*m.\nAnswer: 28756*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in -2, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/6*((-8)\/44 + (-3984)\/(-132))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 138 - 136.64. Let x = b - 6.36. Sort x, 6, -1\/3, -11 in descending order.\nAnswer: 6, -1\/3, x, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -365 divided by -5\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/1365765 and 139\/1217670.\nAnswer: 101066610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 4 (b) 2 (c) -7\/4 (d) 123\/7 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 6) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -165019104.2 rounded to the nearest one hundred thousand?\nAnswer: -165000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 910492686?\nAnswer: 2, 3, 3539, 14293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3*k**2 - 1501. Let p(a) = -11*a**2 - a - 4505. What is -7*g(r) + 2*p(r)?\nAnswer: -r**2 - 2*r + 1497","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 586160 and 65552?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -260947 - 8?\nAnswer: -260955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((3*1*sqrt(99))\/(-1*sqrt(225))*3)**2.\nAnswer: 991\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -9 + (-28)\/42 + 0 + 3. Let j be (-6)\/(-4)*4*2. Suppose f - 4 + j = 0. Is f < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -3*t - 0*t + 3*s, 0 = -2*t + s + 39. Let l = 377\/21 - t. Let v = 8\/21 + l. Is -0.1 less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 3, -47, 4, 0, -23 in decreasing order.\nAnswer: 4, 3, 0, -8, -23, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 28?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1363\/5 + 9521\/35. Let t = 0 - 0.4. Which is greater: t or k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 3:17 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 121\nAnswer: 1\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/(j\/j**14))\/j)\/j)\/((j\/j**(-19))\/j))\/(j*j**(-16\/3)*j**(-8)\/j) assuming j is positive.\nAnswer: j**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62, -3, 2.\nAnswer: -3, 2, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221412.\nAnswer: 2, 3, 18451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 275 = 5*w - 0*w. Let n(h) = -h**3 - 5*h**2 - 5*h - 6. Calculate the remainder when w is divided by n(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 61*b**2 + b + 4378. List the prime factors of g(0).\nAnswer: 2, 11, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 77 (b) -4 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -37*i - 54. Let o be m(9). Let v = 386 + o. Which is smaller: v or -263?\nAnswer: -263","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*j + 6*j + 13*j)*(j - j + 4*j).\nAnswer: 48*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 24 - (120 + -90 + (-16 - 2))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-1*sqrt(68)*-6*2)\/((4*2*sqrt(12))\/(sqrt(108)*2 + sqrt(108) - sqrt(108)))*-2)**2.\nAnswer: 352512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7c2401 - -4?\nAnswer: 7c2405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2 - 256*c - 4096.\nAnswer: -4*(c + 32)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 212 and 26230124?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-70)\/21)\/(100\/(-360)). Solve -5*q - 10 = b*g - 7*g, -3*g - 2*q - 7 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 62 - 19. Suppose 3 = -4*x + u. Let v = 50 - 44. Calculate the smallest common multiple of x and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 1 - 3*u - 10*u as h + g*u and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l**4 + 2*l**3 + 3*l**2 + 4. Let u(m) = m**4 + m**3 + m**2 + 1. Let j(r) = 5*t(r) - 20*u(r). Solve j(y) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53 - ((4 - (-87 + 82 + (1 - 7))) + -10)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -22. Let a = p - 4. Let c = a - 11. Sort c, -9, 0.3 in ascending order.\nAnswer: -9, c, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.1 + 3.2. What is the closest to l in -2, 0.5, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4615 divided by -5\nAnswer: -923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 257228306 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**3\/4 - 9443*b**2\/2 - 87678889*b\/4 + 3535328199 = 0 for b.\nAnswer: -9521, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vhcwx. What is prob of sequence wh?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 5840*h**2 - 79*h. Is n(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o + 1. Let g = 3 - 3. Let j be p(g). What is the highest common factor of 3 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2. Let k(d) = 7*d**2 - 1. Let h = -56 + 51. Suppose 1 + 2 = -z. Let c = z - h. What is c*k(w) - 18*q(w)?\nAnswer: -4*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 < -752672?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 48 = -36. Let v = 2796 + -2778. Calculate the least common multiple of v and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one halves of a century?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 13*r - 26. Let p be y(3). Suppose p*x + 21 = -5. Put -4, x, -13 in decreasing order.\nAnswer: x, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.193217061 to 5 decimal places.\nAnswer: 0.19322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -295 = -34*z - 57 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-11)\/a**(5\/2))**(8\/5))**27 assuming a is positive.\nAnswer: a**(-2916\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + (-8)\/11*(-30195)\/2196?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-4))\/(((-145580)\/464)\/(-251)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1236426 (base 8) to base 3\nAnswer: 122102221111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2384.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -10.84. Let u = 19.5 - 25.14. Let s = a + u. Round s to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z - 2*z + 7*z + (3*z + 2*z - 3*z)*(-3 - 2 + 3) + (-11*z + 4 - 4)*(1 + 2 - 4).\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 417323366.\nAnswer: 2, 208661683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {k: 1, z: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 19 + 13. Let i be 7\/(7\/r) + -3. Suppose -i*d + 3*c = -539, -2*d + 2*c = -146 - 68. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 0*g + 12 = 0, 3*f - g + 21 = 0. What is the units digit of (f - -6)*-254 + 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 41 = -2*u - 35, -4*u + 18 = 2*d. Solve -4*n - 2*i = -6, n + u*i + 11 = -5 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1491 and 117 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/3 (b) 9 (c) 2\/5 (d) -4 (e) -2\/23 (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2106.79 to the nearest one hundred.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 2115441?\nAnswer: 2115445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21017*l - 21018*l + 163 + 42033*l + 166 - 494 + 170.\nAnswer: -2*l + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*l - 5*p + 114 = 0, -36*p = -2*l - 34*p + 12 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 482068 to the nearest integer?\nAnswer: 694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42 + 42 - 1011*v - 130*v.\nAnswer: -1141*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-16)\/(-6) - 0)*3. Let p = 999 - 1000. Sort 4, -2, p, r.\nAnswer: -2, p, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 802 = -x - 0*x, 4*m = -2*x + 1070. List the prime factors of m.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 353064?\nAnswer: 2, 3, 47, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -526*d - 528*d = -1049*d + 45 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-85)\/(-15) - (-2)\/(-3). Let l = 21518\/11 - 1956. Which is the closest to 2\/3? (a) l (b) -3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 263*n**3 - 3*n**4 - 1 + 9*n**2 - 151*n**3 - 113*n**3 to j*n**4 + h*n + o + k*n**2 + t*n**3 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22 - -24) + (-29 - (1 - 1)) - -2.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15833\/6 + -2647. Find the common denominator of l and (-146)\/6*6\/40.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-28)*-1)\/(568\/(-64))?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.219 + -0.023. What is u rounded to two decimal places?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -7\/18 (b) -1\/9 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 6*z**2 + 7*z - 6. Let g be r(5). Suppose 49 = g*k + 3*k. Let s(x) = -2*x + 8. Let v be s(k). Which is smaller: -8 or v?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.192 + 0.109. Let u = -3.083 - o. What is the second biggest value in -2, u, 0.5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8141*g - 91 = -8154*g for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(69\/(-1265)*(-11)\/(-2))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -218166128 divided by 5.\nAnswer: -218166128\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8348, 17457, 27316, 37931, 49308, 61453, 74372, 88071?\nAnswer: 102556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-3))\/(10\/195). Let d be 6\/j*(-2)\/3. Let l = 0.09 - -0.01. What is the biggest value in 3, l, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 296, 306, 322, 344, 372, 406, 446?\nAnswer: 492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 9\/(-6)*594\/135?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*o = 232*o - 26*o - 492 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -947 divided by 7\nAnswer: -947\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 53142769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 561 = -161. Let q be 1\/(-4) - 4\/t. What is the nearest to 0.1 in 0.1, 4, q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, -15, 1\/4, 3\/2696, -0.4, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 0 + -1 + (-45 - (-121 + 67)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, x: 5, r: 2}. What is prob of picking 2 g and 1 r?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 6 = j, 4*v + 12 = -j - 4*j. Let b(g) = g**3 + 4*g**2 - 3*g + 1. Let i be b(j). Solve 3*f = i + 2 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1995 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1701723739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 164993284 by -859.\nAnswer: -192076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28b (base 12) to base 10.\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*6\/40*65\/1092*-7?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 152439 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 838189.2094 + -838085. Let d = p + -104.3. Let n = -0.5976 - d. What is n rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 88*z - 86*z = a, -6*a + 28 = -z for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40.95 + 0.05. Let l = d + -134. Let t = l + 92.897. What is t rounded to two dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26393?\nAnswer: 26393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/2)\/(-29 + 27). Let z(w) = 8*w + w - 5*w + w**b + 2 - 5*w. Give z(3).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 3:32 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-62)\/(-217)*(-35)\/(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 298 and -0.4.\nAnswer: -119.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -4\/7 (b) 17\/3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 268 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 2*g + 12. Suppose -265*z + 270*z = y - 68, 0 = 2*y + 3*z - 110. Calculate the remainder when y is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-431)\/(-3448)*0\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121659.3 months to years.\nAnswer: 10138.275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 7 = -6*z. Solve -20 = -z*h - h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 46.2 - 47. What is the second smallest value in -3\/5, o, 0.2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 354711 and 127.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 + -2 + -2 + 1. Solve -2*g = 4*w + 18, 0*g = -4*w + y*g - 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8 (b) 0.3 (c) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*m + 19*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (121 + (-3 - 11) + -3) - 0.\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/3 + 124\/6. Suppose k - j = -3*k. Solve -3*w + k*w = 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 23*c + 18*c - 4.\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1264 = 10*l - 2*l. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, j: 4, l: 4, v: 5}. What is prob of picking 1 j and 1 g?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 1. Let x(v) = -2*v**2 - v + 4. Suppose -13 = 3*p - 1. Let o be 16\/(-6) - (-8)\/12. Let n be (-2 + 3 - o) + p. What is n*x(f) - 4*i(f)?\nAnswer: -2*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by -4030457.\nAnswer: -9\/4030457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n + 6. Let k(f) = -f + 5. Let g be 5*-4*1\/(-5). Let h(z) = g*u(z) - 5*k(z). Let t be h(-1). What is the closest to -2\/3 in 0.4, t, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 12 = 3*r. Suppose -q = -3*w + 3 + 8, -q = -4. Suppose 2*h + 953 = 5*l, -r*h + 8*h - 960 = -w*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 32 + t + t**4 - 32 + (t**2 + 1 - 1)*(-3*t**2 - 2*t**2 + 3*t**2) + (2*t - 2*t - t**3)*(10*t - 5*t + 4*t).\nAnswer: -10*t**4 + t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 8) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 599177 to the nearest integer?\nAnswer: 774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 38 + 14 = 0. Suppose 4*b = 2*b + 56. Suppose 4*k = -3*f + b, k + f - o = -0*k. Solve 0 = -4*x - 2*h - 8, -4*x + k*h + 8 = 2*h for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1101243 and 147829?\nAnswer: 98010627","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*w, 3*w = -2*t + 2633 + 9274. List the prime factors of t.\nAnswer: 3, 5, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 1:49 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 0 = -60. Suppose -q = 2*n - c, 1 = -q + 3*n - 7. Suppose -256 = -q*m - 4*x, 0*x + 3 = -x. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2492.5, -1, -64.3 in decreasing order.\nAnswer: 2492.5, -1, -64.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 divided by -5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -13. Solve -m - v + 4 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 7\/21 - (-64)\/6.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127234773 equal to 127234772?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 204 - 3265\/16. Let a = -245 + 125. What is the common denominator of 12\/a*(15\/22 + 0) and o?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -11. Suppose -3*y + z = -2*y. Suppose -21 = y*d - 65. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 63, 211, 459, 807?\n\"Answer: 50*a**2 - 2*a + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -400*x**3 - 14*x**2 - 3117*x - 2*x**4 + 667*x + 199*x**3 + 1 + 196*x**2 + 204*x**3 wrt x.\nAnswer: -24*x**2 + 18*x + 364","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*a + 60*a = 81. Calculate the least common multiple of a and 36.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 7 + 5. Let o(f) = 0*f - 2*f + 0*f + 5*f. Let u be (1\/(-3))\/((-6)\/(-90)). Let y(p) = 2*p. What is s*o(x) + u*y(x)?\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1747941539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + 18*x + 46. Calculate the least common multiple of 66 and s(-15).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 6*v**2 + 5. Let f(c) = 17*c**2 + c + 14. Let d(u) = 3*f(u) - 8*x(u). Suppose -5*j + 5 = -4*n, -40 = 5*j + 2*n - 15. Calculate d(j).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o. Let m(t) = 45*t + 449. Let z be m(-10). Let c(g) = -g**2 - g + 4. Give z*c(f) + p(f).\nAnswer: f**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1878*h**2 - h - 3764*h**2 + 1883*h**2 + h.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-818)\/10225*(-45)\/(-24)\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.1 (b) 195 (c) 66 (d) 13 (e) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*a**2*n*s - 4*a**2*s**2 + 2*a**2 + 151*a*n*s**2 + 124*a*n + 7*n*s wrt s.\nAnswer: -8*a**2 + 302*a*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 0\/1)*0. Let f = 2 - k. Let x = 1 + 2. Calculate the greatest common factor of x and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -198 (b) 0.09 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11139*o**2*t + o**2 - 2*o*t + 2643*t + 12 wrt o.\nAnswer: -22278*o*t + 2*o - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/6)\/(2\/(-4)). Let f(n) = 70787772*n**3 - 2*n**2 - 2*n - 1. Let m be f(y). Let u = m + 42387773. What is u rounded to the nearest one million?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13392764?\nAnswer: 2, 7, 11, 59, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-3)*12)\/(-1 + 0). What is the greatest common factor of y and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((1 - 0)*0\/(-1))\/(-3). Suppose y = -84*t + 90*t + 24. Put 7, -5, t in increasing order.\nAnswer: -5, t, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8640167 is divided by 164.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -17. Solve -18\/5*b**4 + 2*b**2 - 6\/5*b**3 + v - 2\/5*b = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 - -10. Let v = 24 + -34. Let c be (v\/(-28) + 2\/(-7))*4. What is the closest to c in q, 9, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -4*x**2 + 2. Let q(t) = -307*t**2 - t - 10. Determine 5*j(m) + q(m).\nAnswer: -327*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4.243 times -163\nAnswer: -691.609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -28, -64, -132, -238, -388, -588, -844?\n\"Answer: -a**3 - 10*a**2 + a - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 4:14 PM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2711514477*h + 6*h**3 + 2711514477*h.\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1724?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 37 = -9. Suppose -3*n - 3*q = -93, 5*n - t*q + 0*q = 146. Calculate the greatest common factor of 12 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence in when two letters picked without replacement from nzzitcct?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u + 105. Suppose 2*o + 4*o = 0. Let t be x(o). What is the highest common divisor of 45 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-18)*f**(1\/2))\/(((f*f**(-1\/15)*f)\/f)\/f*f\/f**(1\/37)) assuming f is positive.\nAnswer: f**(-20431\/1110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55582?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -4*r - 5. Let m(s) = 2*s + 2. Let j(c) = -5*m(c) - 2*w(c). Let z(h) = -2*h + 1. Let l(o) = 75*o - 9. Let a(n) = -l(n) - 9*z(n). Calculate j(a(f)).\nAnswer: 114*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -3*f - 0*k - 2*k, -5*f - 2*k + 13 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2 - 5*y - 2 + 6*y. Let a(j) = -j + 2. Calculate -a(z) - 2*o(z).\nAnswer: -z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16.4 + -5.4. Let a = 0.3 - 5.3. What is the third smallest value in 5, l, a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + (7 - 42) + (-5 - -2 - (12 - 9)).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 169042 or -561?\nAnswer: -561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 8) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*m + 90 = -4*m. Suppose 3*c - 9 = 0, -41*c + 38*c - 176 = -m*n. Is 36 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2 (b) 2 (c) 1\/2 (d) -1 (e) -3\/2 (f) 0 (g) -238\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 k when three letters picked without replacement from rcrxkrcrgrckl.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 5*t - 65, -5*u = -3*t + 6 - 1. Suppose -380 = -3*h - 374. Solve -h*c + 7*c = -t for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 14*h**2 - 5*h - 9. Let l be p(4). What is the common denominator of -17\/4 and ((-4)\/15)\/(567\/l - 3)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 16*i**2 - i - 5. Suppose 5 = n, -p - 9*n = -6*n - 13. Calculate the remainder when w(p) is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4780893.\nAnswer: 3, 13, 17, 7211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1924385 divided by -64?\nAnswer: -1924385\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 1281 = 13*q - 9*q, 4*a + q = -1708. Let r = 868 + a. Is 12 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 12:31 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -44*x - 1934. Let j be l(-44). Let q(s) = 6*s - 1. Let v be q(3). Solve 3*h - j = -v for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 40\/187 (b) 1\/5 (c) 4\/7 (d) -0.11 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -572, -478, -380, -278, -172, -62?\n\"Answer: 2*o**2 + 88*o - 662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-30) + (-4593)\/(-810) + 149\/(-4023)?\nAnswer: 29\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2992 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1548 and 4837156.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 18.910004.\nAnswer: 56.730012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 8.421723 kilometers?\nAnswer: 8421723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1698892 at least 1698894?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/7 - 112284575\/(-35). Suppose -491869 = -x + m. Round x to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6d92c (base 15) in base 2?\nAnswer: -1010101010111111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 15 = -0*a - 4*a, 2*a + 10 = 4*m. Suppose -m*q - 781 = 59. Let i = q + 377. Is i a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 97687394?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 105555 (base 10) in base 8?\nAnswer: 316123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*n**3 + 3*n**4 + 7*n**3 - 2*n**3 + n - n**2 as s*n + y*n**3 + c + x*n**4 + g*n**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 934284 from 0.2.\nAnswer: -934283.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(99) + 1 - (-4 + -1*sqrt(99)) - (2*sqrt(99)*1*-4)**2.\nAnswer: -6330 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 4708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 = 4*r + 25. What is the greatest common factor of 16 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*s + 2. Is s + -1*(-34 - -2) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116264315?\nAnswer: 5, 41, 567143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 798611523 divided by 113649.\nAnswer: 7027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -4) + (-3 - -5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3\/4, -0.2, 2\/85, -3?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-one fifths of a kilometer?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.8810161 weeks?\nAnswer: 532838537280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of 0 + 0*i**3 + 0*i + 3*i**2 + 1\/80*i**5 + 3\/16*i**4. Factor l(j).\nAnswer: 3*j*(j + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -45 + 15. Let c = -9 - o. What are the prime factors of c?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -5\/4, -4, 68?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -15, 22, -0.3?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23646 times 0.4?\nAnswer: 9458.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -39780 divided by -10?\nAnswer: 3978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(459)\/(sqrt(9)*-1)*3)\/((3*sqrt(432)*-1 - sqrt(432)) + sqrt(432)).\nAnswer: sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -591 - -389. Let t = -194 - b. Solve 3*k = -5 + t for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 26*f**2 + 59*f + 266. What is j(-24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 6:41 PM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05265 - -44339766.\nAnswer: 44339766.05265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110000101111101 (base 2) to base 10.\nAnswer: -24957","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2255*r - 1291*r - 1550*r. Let m(n) = -4*n. Give q(m(g)).\nAnswer: 2344*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-2)\/(-22)*(-552)\/506*2\/12.\nAnswer: 2\/121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2121 (base 3) to base 9\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 890 - 274. Let k(b) = -153*b + s*b - 2*b**2 + b**2 + 0*b**2. What is k(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {m: 4, p: 3, q: 1, r: 1, s: 2, h: 4}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(((sqrt(180) - (3*sqrt(180) + -4)) + sqrt(180) - -2*(0 + sqrt(180))) + 1*(-4 + sqrt(180) + 0 + -5)))**2.\nAnswer: -1920*sqrt(5) + 11920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25327 is divided by 125.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161220 = -28*t - 32*t. Is t a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -a**2\/4 + 7*a\/2 - 49\/4 = 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-54)\/4)\/(-1)*(-10)\/(-3) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 16*z**2 - 226*z - 636. Give a(-3).\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 - -0.3. Let w = 81 + -80.6. Which is the second smallest value? (a) -0.3 (b) w (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -29, 5276, -0.14, -1\/8?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -13*c + 16368. Is 16 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 2*o = 4, -4*s + 424 - 443 = o for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -259, -1154, -2645, -4732, -7415, -10694, -14569?\nAnswer: -19040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 411 is divided by 126?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -45*f**3 + 26*f**2 - 15*f - 22. Let c be s(-3). What is the highest common divisor of 69 and c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7332 (base 10) in base 7?\nAnswer: -30243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - k**2 + 1. Suppose 0*x = -3*x - 3. Let t be z(x). Sort 0, t, -4 in decreasing order.\nAnswer: t, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 8*c + 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7*1)\/(4\/(-8)). Suppose 35853 = 13*r - 70*r. Let l be (r\/148)\/(1\/4 - 0). Does h = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (450\/(-33))\/25*(-1 - 8\/(-6))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 39.873 and -0.3.\nAnswer: 39.573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40*l**2 - 381215*l - 142950.\nAnswer: -5*(l + 9530)*(8*l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/5 - 28*r - 402\/5.\nAnswer: -2*(r + 3)*(r + 67)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-33)\/(-6)*11\/(-121).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21 by 38.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3*o + 9 = 0, 4*o - 9 = 2*v + 1. Let b be 2\/10*(1 + v\/6). What is the closest to 1\/3 in 2\/5, -1\/5, b?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000513217919 rounded to 5 dps?\nAnswer: 0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccmcmmcc. What is prob of sequence cmcm?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -233979 + 232729.2756. Let s = j - -1250. Round s to 2 dps.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and 0.2103356?\nAnswer: 1.6826848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + (sqrt(88) - (sqrt(88) + -3*(sqrt(88) + -4*sqrt(88) - sqrt(88)))))\/sqrt(8) + (sqrt(275) - -1*sqrt(275))**2 + -2 + sqrt(11) + -1.\nAnswer: -10*sqrt(11) + 1097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.07, 4, -15, -2\/43?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57614 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 147 divided by 399.\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3*f**3 - 8*f**2 - 21*f + 22. Let q be s(4). Find b such that 0 - 2\/5*b**q + 8\/5*b = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80613 - 0.2?\nAnswer: -80613.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-79)\/(-252) - (-8)\/(-28). Let u(i) be the second derivative of 0*i**2 + m*i**4 + i + 0*i**3 + 0. Factor u(f).\nAnswer: f**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-24)\/(a*(a*a**(-27))\/a) assuming a is positive.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 505 + -460. Calculate the greatest common factor of r and 2070.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 - 5. Let p be m(3). Is ((-132954)\/(-15) + p)\/(2\/5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 + 10*m - 1. Determine h(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*i**3*j**2*u**2 - i**3*j - i**3*u**2 + 9*i**3 + i*j*u + 69*j**2 - 1301*j*u**2 wrt u?\nAnswer: 8*i**3*j**2 - 2*i**3 - 2602*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.5 (b) -0.2 (c) 21 (d) 3\/8 (e) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(153)*-4)\/sqrt(9).\nAnswer: 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -33706*x - 268856. Determine a(-8).\nAnswer: 792","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 162 - 21 = -5*n, -3*o + n = -165. Solve -44 + o = -12*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, y: 2, o: 5}. What is prob of sequence yioy?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (0 + -2) - -1. Let c be 2\/1 - (p - 9). Let y be -1 + 2 + c\/(-6). Which is smaller: -1 or y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27053 + -27031. Let s(k) = 2 + 2 - 2 - k. Let b be s(0). What is the highest common divisor of p and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -l**7\/14 - l**6\/5 + 3*l**5\/20 + l**4\/2 + 9*l - 16. Let f(z) be the first derivative of t(z). Solve f(g) = 0 for g.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 6 and 6\/23 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4*l**2 - 2*l + 5 + 2 - 2 - l**3. Suppose -10 = -5*y, -a + 3*y = a - 2. Calculate i(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12851106161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 1 + 13 - 15 - 2064*n + 7 to h*n + m and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -212 - 2*h + 8*h - 6*h - 3*h.\nAnswer: -3*h - 212","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4*g = -4*o - 5, -3*o + g = -10. Suppose -z = o*v + z, -2*v = -4*z - 24. Solve 4 = 2*p - v for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 211042 + -5?\nAnswer: 211033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 69.2 - 50. Let y = b - 19. What is the second biggest value in -0.4, 0.1, -0.3, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*r + 50928 - 50964 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 - 39*t - 20*t**2 + 94*t - 45*t in the form x + z*t + w*t**2 and give z.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + r + 9, -3*u - 6*r = -9*r - 15. Solve -u*q - 3 + 10 = -m, -q = -5 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in six fifths of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -99137, -98569, -98003, -97439, -96877, -96317, -95759?\n\"Answer: -f**2 + 571*f - 99707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(180) - sqrt(180))\/sqrt(4))\/(sqrt(9) - (sqrt(225)*-6 + sqrt(9))).\nAnswer: -sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/9 + 6568*s\/9 - 8768\/3.\nAnswer: 2*(s - 4)*(s + 3288)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3c + -624?\nAnswer: -5c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.5, 89 in ascending order.\nAnswer: 0.5, 1, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 4*i. Let j = -372 - -366. Let m(s) be the third derivative of -5*s**4\/24 - s**2. Let v(o) = j*m(o) - 7*x(o). Determine v(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8894, -17790, -26686, -35582, -44478, -53374?\nAnswer: -62270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k - 8. Suppose -2*y - 10 = 0, -4*z - 4 = -z - 4*y. Let q be r(z). Factor 2\/3*x**4 + 0*x + q*x**2 + 0 - 1\/3*x**3 - 1\/3*x**5.\nAnswer: -x**3*(x - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 2 - 11)*(10*v**2 - 10*v**2 - 9*v**5).\nAnswer: 234*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 51*o - 369. What is z(7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (-11 + 32 - (60 - 33))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 313\/(-7) + -1 + 0 + -27*92\/8694.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -9*o - 58. Let m be -2*5 - (-5 + 4). List the prime factors of i(m).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 5:12 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 27\/(-432) - (5 - (-11837)\/304)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of -41*d**2 - 23\/6*d**3 + 17*d + 0. What is the tens digit of k(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 888, 2, 37, 5, -5, 6.\nAnswer: -5, 2, 5, 6, 37, 888","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278 is divided by 97.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290165 is divided by 350?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 - -8. Let f = z - -10. Let g(j) = -2*j - 12. Let m be g(-8). Solve 10*q - 5*q = 4*l - 10, -m*q = -f*l + 12 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(-3))\/(z*z**(-5))*(((z\/z**3*z)\/z*z)\/z)\/z*z**(-6)*(z\/(z*z*z**1*z))**(-1\/6)\/(z*z**(-1)*z*(z\/(((z*z**(1\/12)*z)\/z)\/z))\/z) assuming z is positive.\nAnswer: z**(-77\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 31*m - 103. What is the remainder when w(25) is divided by 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 707571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4596 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -94224*a**5*r**3 + 10*a**5 + 7046571*a*r**3 wrt a.\nAnswer: -1884480*a**3*r**3 + 200*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 40 = -3*l. Let k(j) = -j**3 - 11*j**2 - 12*j - 6. Is 7 a factor of k(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 2*x + 6. Suppose p + 8 = 4*s, 2*s + 6*p + 6 = 4*p. Suppose -4*z = -5*u - s, -4*u + 4*z = z. What is the remainder when u is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 376*f**4*r*v - 5283*f**3*r*v**3 + 235*f**2 - f*r*v**3 - 4*f*r*v - 38*f*v**2 - 10*r*v + v**3 wrt f.\nAnswer: 9024*f*r*v - 31698*r*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2006 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 v = 667 + -626. Suppose -v*t = -27*t - 7280. Is t a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 108\/233?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1147789 is divided by 24.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kt when two letters picked without replacement from {k: 2, t: 4, z: 1, m: 3, x: 3, r: 2}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**2 - 77*l - 1024. What is r(49)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ezs when three letters picked without replacement from {u: 4, s: 1, g: 2, e: 6, z: 4}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -u**3\/3 - 5*u**2\/2 - 2*u + 1. Let s be p(-4). Solve -5*h - 1 = -s*o - 15, -2*h = 2*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3109*q + 5377. Give o(-2).\nAnswer: -841","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215364 = -198*v + 2583139 + 22762307. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.96284 millilitres in litres?\nAnswer: 0.01996284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -82 - -85. Is w + (21\/6 - 0)*180 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7306 - 7301. Let c be (-4)\/10 - (-24)\/10. Suppose 5*o - 2*n - 11 = 0, -6*o + 5*n = -c*o - 19. What is the closest to o in -2, -1\/3, x?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, u: 1, x: 2, z: 1, r: 1, g: 1}. Give prob of sequence fzr.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 79939800 to the nearest one million.\nAnswer: 80000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -72424, -72275, -72126?\n\"Answer: 149*a - 72573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27.3 - -27. Let i(v) = v**3 + 3*v**2 - 2*v - 2. Let n be i(-3). Which is the closest to 0.1? (a) n (b) k (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 18*n + 51. Let j be x(-9). Is j smaller than -111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b + 11. Let q(n) = -n - 10. Let l(p) = -3*g(p) - 4*q(p). Let j = 0 - -3. Calculate the remainder when l(0) is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -36*b**3 - 2*b - 1. What is x(-1)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 65 + -40. Suppose -q = -0*w - w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (70 - 1492 + 207)*(h + 0*h + 1 + 0*h)*(-3*h**3 + 0*h**3 + 2*h**3).\nAnswer: 1215*h**4 + 1215*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 10. Let h be (-4)\/3*(-6)\/4. Let u(v) = -3*v**p - 2*v**h + 6*v**2. Let i(k) = -2*k. What is i(u(f))?\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -15b + -ca3c?\nAnswer: -cb9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -523, -1027, -1543, -2077, -2635, -3223?\nAnswer: -3847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42448?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 - 83 = -10*z. Put z, 0, -7, -2 in ascending order.\nAnswer: -7, -2, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, g: 7, z: 3, a: 1}. What is prob of sequence og?\nAnswer: 7\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, k: 10, v: 1}. Give prob of sequence tt.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -128 - -129. Let o(h) = h - 14. Let w be o(10). Let q = 201 - 196. Which is the third smallest value? (a) q (b) t (c) 0.1 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 1 - -4 - (-15 - -15).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 9*m. Let c(u) = -u + 4. Calculate the smallest common multiple of w(7) and c(-4).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/100 and 28\/45?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(-10)*(-5)\/(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*m - 570 + 3248 = 0 for m.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + (24 - (-474)\/(-18)) + (-1)\/2. Solve i*q**2 - 5\/6*q + 1\/6 - 1\/2*q**3 = 0 for q.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.086488496 rounded to five decimal places?\nAnswer: 0.08649","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -6*o. Let s(g) = 39*g**2. What is d(s(n))?\nAnswer: -234*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10634178?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 81 - 76. Let z = -1176\/5 - -236. Which is the nearest to -20? (a) k (b) -3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-2*sqrt(108) - sqrt(6)\/(sqrt(2) + (sqrt(2) - sqrt(14)\/(-1*sqrt(7)))))*5 + -5)**2.\nAnswer: 7250*sqrt(3)\/3 + 525700\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-581*d - 1370*d - 434*d)*(9 - 6 + 3).\nAnswer: -14310*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7872795 and 10122165?\nAnswer: 70855155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 171.8418 centuries in months?\nAnswer: 206210.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 210 and 3.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 101? (a) -4 (b) -0.2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -57 - -148. Is 21 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206239?\nAnswer: 11, 18749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1480\/9, -5, 0.04?\nAnswer: 1480\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qwdqwdwddqqwqwqqwwqd. Give prob of picking 2 w and 1 d.\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a litre in millilitres?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(25\/6)\/k)\/(k**19\/k)*k\/((k**(-22)\/k)\/k)*k*k**(-24)*k assuming k is positive.\nAnswer: k**(-71\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 5*n**3 + 113*n**2 + 36*n - 642. Determine c(-22).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that x**3\/7 - 30045*x**2\/7 - 86023*x + 3697995 = 0.\nAnswer: -41, 21, 30065","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1155819?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - y - 2*y**4)*(196 + 678 + 213 - 11).\nAnswer: -2152*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144006*z - 72003*z - 46474 + 92950 - 46476 - z**3 - 72003*z.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 155997 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -66 - -162. Suppose -11*d + r = d. Solve 4*t = -4*x - d, -16 = t + 4*x - 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15762205 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 8.857579nm?\nAnswer: 0.008857579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 292*d + 3886 = 28*d - 2219 - 23991 for d.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - t - 71 + 240, 171 = y - t. Suppose y - 570 = -10*h. Calculate the remainder when 78 is divided by h.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l - 24 - 7*l - 6*l + 5*l.\nAnswer: -4*l - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - w + 1158 = 0, w + 1164 = x + 2*x. What is the remainder when x is divided by 78?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 12*k**2 + 10*k - 10. Let o(y) = y**2 + y - 1. Let l = -1 + -1. Let u = l + 3. Let j(c) = u*d(c) - 10*o(c). Let h(r) = 2*r. Give j(h(f)).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48058397.\nAnswer: 227, 211711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/(-117))\/8*-4\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/5)*c)\/(c*((c\/c**4)\/c)\/c))\/((c*c**(-11))\/c*c**(2\/19)) assuming c is positive.\nAnswer: c**(1472\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 3:22 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = a + 2*t - 0, 4*a - 40 = 5*t. Let p be -6 + (-2)\/(2*-1). Calculate the lowest common multiple of (-10 + -1)\/(4 + p) and a.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*m - m - 3*m + (0 - 1 + 0)*(0*m - m + 0*m) - 2*m + 4*m - m - 11053*m + 916 - 1578 + 662 to the form g + o*m and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.728 + 0.018. Let h = 2.03 - 3.14. Let u = m - h. Which is the second biggest value? (a) -1\/6 (b) -0.4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14815 divided by -14815\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1586?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227560 = -1634*b + 237364 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1093 + 227. Is 60 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w + 1. Let l(m) = 2*m**2 + 83*m - 44. Let z be l(-42). Let o be (-2)\/6 + 2\/6. Suppose 5*r + 3 + 2 = o. Let j(f) = -1. Calculate r*t(b) + z*j(b).\nAnswer: 3*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 14887 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 264, 475, 644, 777, 880, 959?\nAnswer: 1020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19581654?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*x - 10. Suppose -5*l = 0, 0 = -x*m + m - 2*l + 4. What is the least common multiple of 8 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 331153243?\nAnswer: 331153243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5407 is divided by 43.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35893*g = 35969*g + 456 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11342 and 106.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d + 5*z, 177*d - 181*d + 14 = -3*z for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*g**2 + 0*g**2 - g**2 in the form i*g**2 + v*g + x and give i.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {g: 4, z: 2, a: 4}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 236.1225 litres to millilitres.\nAnswer: 236122.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 4*sqrt(176) + sqrt(11))**2.\nAnswer: 102*sqrt(11) + 3188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 356 and 22?\nAnswer: 3916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13020795?\nAnswer: 3, 5, 19, 97, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1681 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*d**3 + 3*d**3 - 7*d**3 + (2*d - 3*d - d)*(0*d**2 + d**2 - 2*d**2).\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = 11*z. Suppose z = 4*s - 3*x + 871, s + 5*x + 455 = -s. Let o = -127 - s. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 6 - -3) + 12 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 199\/34200180 and 143\/68400360.\nAnswer: 68400360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 45314 - -1060?\nAnswer: 46404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + g = -d - 26, 0 = 3*d - g - 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 12993, 102522, 344349, 814248, 1587993, 2741358?\n\"Answer: 12629*w**3 + 375*w**2 + w - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 216484.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m - 63 = -10*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -55 + 12 + (-2 - -5) + 2.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-15) + 32595\/225. Which is smaller: 134 or g?\nAnswer: 134","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -750, -1487, -2224, -2961, -3698, -4435?\n\"Answer: -737*m - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1709, -5, -774 in increasing order.\nAnswer: -1709, -774, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 313139 = -26*d + 313139 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1117807 is divided by 457.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 185925714 and 36?\nAnswer: 1115554284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -61 + 834. List the prime factors of f.\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48198\/679 bigger than 70?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -110001*x**3 - 1. Let w(n) = n + 0*n + 2 + 2. Let l be w(-5). Let d be f(l). What is d rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((1 - 5 - -6) + -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.06, 15, -843\/10?\nAnswer: -843\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2033679 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -81026 (base 9) to base 14.\nAnswer: -1558d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14883 and -5.\nAnswer: 74415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -411.\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 7*k**2 - 5*k - 4. Let p = -10 - -16. Give x(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 14. Suppose 4*w - 5*f - 317 - 50 = 0, 3*f - 468 = -l*w. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 2) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2\/3)*f*(f**(-1\/3)\/f)\/f*f*((f\/f**0)\/f)**(-23)*(f\/(f*f**(-2))*f\/(f**1*f))\/(f*f**(2\/5)*f*f*f)**(-2\/61) assuming f is positive.\nAnswer: f**(44\/305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 - -23. Let d = f - -10. What is the closest to 2\/5 in d, 0.1, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 l when two letters picked without replacement from {j: 3, m: 1, p: 2, d: 9, l: 3, k: 1}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -1132054?\nAnswer: -1132061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*h**3 - 12*h**3 + 3*h**3.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 11055.78028 to 0 decimal places.\nAnswer: 11056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20586526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/69 - 4\/(-8)*(-4)\/1081. Which is bigger: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*(-6)\/84*-3.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 57 + -62. Which is the biggest value? (a) -9 (b) 2 (c) 5 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -231350 + -22350?\nAnswer: -254140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.5 - 0.5. Let x = -12656 + 12653.99984. Let v = m + x. What is v rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 521361299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 6*m**2 - 4*m - 13. Let g be p(6). Let b = g - 119. Does 10 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 711842984 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5026176 and 115200.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/10 (b) -0.1 (c) 7900\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -7, -2, -229 in decreasing order.\nAnswer: 19, -2, -7, -229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-505)\/120 - (-1)\/3 and 51\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 8*j - 96. Calculate m(15).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 g, and 2 j when four letters picked without replacement from dgjddgeddedjwgggdrg?\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g**2 - 782*g - 15696. What is x(-22)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 11*u**2 + 20*u - 44. Determine j(-13).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7 times -2.4?\nAnswer: 4.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2 + (-4 - 0) - -30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3 (b) -0.01 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -1633, -5, -3.\nAnswer: -1633, -5, -3, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6056 take away -1?\nAnswer: 6057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three fifths of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 63\/294*(-12)\/(-36)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -102 - -1123\/11. Let c = 9\/22 + w. What is the nearest to c in 0.1, 1\/2, 2\/23?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21*n + 4*n - 15*n)*(-2*n + 0*n + 4*n) - 2*n**2 - 3*n + 3*n - 40 + 40 - 16*n**2 as y*n**2 + x + i*n and give y.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, g: 1, n: 1, v: 10, f: 1, x: 5}. Give prob of sequence gv.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 125*p - 3 - 107*p.\nAnswer: 18*p - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 22 = 3*l - 0*l, 4*f = -8. Suppose 7840 = -0*u + l*u. Round u to the nearest one hundred.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101336 (base 8) to base 2\nAnswer: 1000001011011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 1 = 3*n - 12, 2*c - n - 15 = 0. Suppose -5*i = -4*q + 15, -2*i + 20 = 5*q - c*i. Solve -4*h = 3*u + 4, -q*h = -2*u + 6*u + 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 + 215*z - 3419. What is b(18)?\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -14*z**5\/5 - 164*z**4\/5 - 246*z**3\/5 - 56*z**2\/5 + 8*z = 0.\nAnswer: -10, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 8*h. Let p(v) = 1490*v**2 - 1336. What is p(b(g))?\nAnswer: 95360*g**2 - 1336","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(-3\/4))\/d)\/d**(-6))**35\/((d\/d**(2\/3)*d)**(-39)*(d\/d**6)\/d*d**(1\/11)) assuming d is positive.\nAnswer: d**(10633\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -44 + 46. Suppose 5*k = -0*k + 5. Let -4 + x*y**2 + 3 + k = 0. Calculate y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jsjqqsqqb. What is prob of sequence jq?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 0 + 0)*(42 - 41 + 33).\nAnswer: 34*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 595 = 3*f, -2*p + 1956 = -f + 780. What are the prime factors of p?\nAnswer: 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -2\/3, -4\/5, 10.5, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 1821*b - 18347. Give n(-10).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 154640 and 1560?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1523?\nAnswer: 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*c**3 - 10*c**3 - 2*c + 5*c**4 + 2 + c**2 - 3*c**4 + 5*c to the form f*c + x*c**2 + h*c**4 + a + n*c**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1244129375 to the power of 1\/3, to the nearest integer?\nAnswer: 1076","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 131*g + 153. Calculate the lowest common multiple of 10 and o(9).\nAnswer: 6660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -55\/9 < -3\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-7)\/(l*(l*l\/(l\/((l**(-3\/5)\/l)\/l*l)))\/l*l))**(-9) assuming l is positive.\nAnswer: l**(333\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/18*16\/40.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m*q**3 - 5*m*q*t - 43*m*q + 63398*q**2*t + 47*q*t wrt q?\nAnswer: -6*m*q + 126796*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -758980, -1517962, -2276944, -3035926, -3794908, -4553890?\n\"Answer: -758982*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + (-5)\/2)*(11 + -7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 977 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -1897?\nAnswer: -5\/1897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of 5*s**3\/6 + s**2 + 2*s. Suppose 11*v - 7*v = 12. Let z be p(v). Solve -5*f + 5*i = -2*f - 19, 5*i = 4*f - z for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u - 345 + 345. Let c(k) be the second derivative of k**3\/6 - 8*k**2 + k - 48. Give g(c(d)).\nAnswer: d - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 2, 5 in ascending order.\nAnswer: -5, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 1 + 7. Is 22 a factor of 1\/2 - 163\/x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 124\/(-217) - (-284)\/7. Suppose 5*y + o*y = 2520. Is y a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f - 15*f + 4*s - 24 = 0, 4*s = 3*f + 19 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -262*f - 213. Give t(2).\nAnswer: -737","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29225 is divided by 69?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 48\/775 and -29\/119400?\nAnswer: 3701400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 8*f + 4*f - 20 = 0, 2*f + 10 = 0. Suppose -x + 5*x - 288 = z. Is x a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000017211179 rounded to seven dps?\nAnswer: -0.0000172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 9) in base 14?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*h - 16*h = -3*p - 18, 0 = -5*p - 5*h - 60 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1230211 - -11?\nAnswer: -1230200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.184 + 1.574. Let p = l - 1.38999907. Round p to 7 dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a microsecond in nanoseconds?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2142)\/924 + -1*(-2)\/(-11).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7120 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5746, 22746, 51002, 90514, 141282, 203306?\nAnswer: 276586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30 + 122223032302?\nAnswer: 122223032212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7341*y + 90*y**2 - 7341*y.\nAnswer: 90*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xcmcm. What is prob of picking 1 c and 1 m?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((4 + (-188)\/(-8))*28\/105)\/(-1)\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -27616*n - 55222. Give z(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5313 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a kilogram in grams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of 167*x**5\/4 - x**3\/2 + 93*x**2 + 39*x - 5. Find the second derivative of g(h) wrt h.\nAnswer: 5010*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6757 + 67671\/10. Calculate the common denominator of q and -41\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -156*d*q**2*r**2 + 2*d*q**2 + d*q*r + 164284*q**2 + 7*r**2 wrt r.\nAnswer: -312*d*q**2*r + d*q + 14*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*w - 36 + 36.\nAnswer: 20*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {b: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -191 bigger than -19596?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -0.1 (b) 6\/11 (c) 1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -286129 less than -0.03?\nAnswer: 286128.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.055403986 to three dps.\nAnswer: 0.055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -176, -11, 3, -335 in ascending order.\nAnswer: -335, -176, -11, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v*(v\/(v\/v**0))\/v)\/v)\/(v\/(v\/(v**4*v))))**(-10\/17) assuming v is positive.\nAnswer: v**(50\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-1) + 202\/404)\/(2\/(-4)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -866*v + 39828. Give k(46).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 3. Let p be (v\/2 - -2) + 4. Suppose -3*g = 2*j - 23, -p*g = j + j - 33. Sort 0, -3, j.\nAnswer: -3, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 8*j**2 + j + 11. Let a be l(-8). Suppose a*q - 40 = -q. Calculate the greatest common factor of q and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 228, -4, 1\/3, 1, 1.2, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -17414 (base 9) to base 14\nAnswer: -4533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11365 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -10*r + 1546. What is b(-2)?\nAnswer: 1566","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b - 54. Let u be g(-18). Suppose u = 8*d - 5*d. Solve d = 9*s - 8*s - 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.298 + 0.702. What is the nearest to 3 in b, -8, 0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10744\/9 - (-16)\/72. Let u be 8\/(-44) - q\/(-33). Calculate the greatest common factor of 54 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*s - 7*s - 1526 = 0. Suppose 108 = 111*x - s*x. Does 9 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 66*h**2*o*y + h**2 - 1055*h*o - 2*o*y wrt y.\nAnswer: 66*h**2*o - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003419 to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 10:35 PM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 157914 or 157744?\nAnswer: 157744","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -23491 (c) -2\/3 (d) 5 (e) -98 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45*m + 24 - 24)*(-3*m**3 - 9*m**3 - 128*m - 5*m**3 + 14*m**3).\nAnswer: -135*m**4 - 5760*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, r: 1, d: 4, h: 1, w: 2}. What is prob of sequence dr?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 663138?\nAnswer: 2, 3, 7, 19, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -786 + -588.221?\nAnswer: -1374.221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -13*d + 38*d + 15*d. Let y(x) = -286*x. Let a(r) = 1372*r. Let h(w) = -5*a(w) - 24*y(w). Determine h(q(p)).\nAnswer: 160*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 1802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3542c5 (base 14) in base 8?\nAnswer: 6735005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 202710 and 9087?\nAnswer: 2635230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(12\/(-15))*14\/42?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1\/5, -14109 in ascending order.\nAnswer: -14109, -1, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-149)\/(-1))\/(5 - (-1034)\/(-209)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1171 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13.02 + -8.12. Let d = 2774 - 2778.901. Let t = d + q. Round t to 4 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2876946 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: Suppose 4*n + 4*y - 52 = 0, -58*y + 55*y + 21 = -3*n. Solve 30\/7*x - 9\/7*x**2 - n = 0.\nAnswer: 1, 7\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -639, 1, 93.\nAnswer: -639, 1, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + 23. What is the greatest common divisor of 315 and a?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -12*w**2 + 16*w**2 - 72*w + 72*w. Let t(v) = -99*v. What is f(t(u))?\nAnswer: 39204*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/51 (b) 3\/7 (c) 0.5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 8:28 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(5\/4)\/i*i)**(18\/11))**(-2\/147) assuming i is positive.\nAnswer: i**(-15\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 17378 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 4*o - 1. Let d be s(1). Let f(u) = 0 - 3 + 0 - d*u + 1. List the prime factors of f(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p**3*z**5 + 16*p**3*z - p**2*z + 228*p*z**4 - 7*p*z wrt z?\nAnswer: 40*p**3*z**3 + 2736*p*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -14. Let n = -1.5 + 0.4. Let m = n - x. Is m >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 4, -3, 1, 0 in decreasing order.\nAnswer: 7, 4, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -0*n + 7650000. Round n to the nearest 100000.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 11*j**2 - 19*j - 5. Suppose 8*p + 18 = 6*p. Let y be w(p). Suppose -7*z + y = -5*z. Calculate the remainder when z is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4605.878um in kilometers?\nAnswer: 0.000004605878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**2. Let d(q) = -70994*q. Calculate g(d(n)).\nAnswer: 10080296072*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.767 + 270.233. What is the third biggest value in 1\/8, -2, m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48203?\nAnswer: 19, 43, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22102 + 11?\nAnswer: -22021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14747*r + 11854*r - 2766504 = 0 for r.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -36 - 7?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002152 to 7 decimal places.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + 0 - (7 - 6). Suppose 46 = -4*w - p, 0 = -l*w + p + 4 - 35. Let o = w - -33. Calculate the remainder when 65 is divided by o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2103211 (base 4) to base 3.\nAnswer: -110221211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmbb when four letters picked without replacement from {o: 8, b: 2, m: 4}?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o + 1. Let t(q) = 6*q - 2. Let k(s) = -2*i(s) - t(s). Suppose h = -2*h + 9. Let j(u) = h - 7*u - 3. Calculate j(k(l)).\nAnswer: 14*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 16994*k - 3109891. Give n(183).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2330*b - 241*b**2 + 242*b**2 - 2297*b.\nAnswer: b**2 - 4627*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (2*sqrt(300)*4*-3 - (2 + 5 + sqrt(300) + 0))**2)*4*-1.\nAnswer: -750204 - 14000*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 v when four letters picked without replacement from welrrwdvdrewwwlwwe.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 567257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 + -19. Suppose x = 2*u - 2 + 4, -4*g + u = -4001. Let j be g\/(-2*(-4)\/(-8)). What is j rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2597 divided by -146\nAnswer: -2597\/146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59559 - 59559 + 0*s**2 + 4*s**2 - 5*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 7:18 PM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -404*l + 406*l + 70, 3 = -h - 3*l. Calculate the smallest common multiple of 4362 and h.\nAnswer: 8724","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 5*b**2 - 2*b - 11. Let a be j(-4). Let f = 46 + a. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.06, -9, 80\/121?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -172 (b) -5\/3 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d + 2779 + 56 = 0. Let m = d + 519. Suppose 5*v - i = m, 10 = -5*v + 4*i + 226. Calculate the remainder when v is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 69.3 and 11.82.\nAnswer: 819.126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -170, -173, -176, -179, -182?\nAnswer: -185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 2*i**2 + 3. Let b be c(0). Solve -2*f + 6 + 8 = -5*y, -4 = 5*y + b*f for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of -o**5\/5 + 5*o**4\/24 - o**3\/3 + 81*o**2 + o. Give h(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -333 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away 0.9304?\nAnswer: 3.0696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5126 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -138*130\/(-156)*(0 - (-3)\/15).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*t**2 - 6*t**2 - 36*t - 3 + 680*t**3 + t - 683*t**3 as b*t**2 + o + g*t + d*t**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2783?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 497 - 9445\/19. Is 1 less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-5))\/((-114)\/51680). Let s = -539 - l. Solve -23 = -s*q - 8 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**5\/4 + 24*d**4 - 49*d**3 + d**2\/2 + 195*d\/4 - 49\/2 = 0. What is d?\nAnswer: -98, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 403 is divided by 125?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c**2 + 2*c**2 + c**2)*(7 - 7 - 8*c)*(1 - 1 - 2*c).\nAnswer: -32*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 - 32. What is the remainder when 71 is divided by 2 - z - (-67 - -26)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5424076 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13100493 by -8.\nAnswer: 13100493\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40 + -44. Let x be (120 - (4 + o)) + 0. Calculate the highest common factor of 12 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16863 + -16863.0082216. What is u rounded to five dps?\nAnswer: -0.00822","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of x**2*y**2 + 4*x**2*y - 534*x**2 - 2*x*y**2 - 2*x*y - 6*y**2 - 68 wrt x.\nAnswer: 2*y**2 + 8*y - 1068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118659923.\nAnswer: 118659923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17626975 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 7*x + 5. Let o be (12\/15)\/(2\/(-15)). Is w(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 12*i**4 - 7*i**3 + 7*i**2 + 7*i + 1. Let h(f) = -f**4 + f**3 - f**2 - f - 1. Let b(o) = 14*h(o) + 2*m(o). Differentiate b(c) wrt c.\nAnswer: 40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5089186 * 0.11.\nAnswer: 559810.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z + 1. Let r(k) = 16*k + 18. What is -36*n(s) + 2*r(s)?\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -240.364 + -2.536. Let i = m + 243. Which is the smallest value? (a) i (b) -3 (c) 2\/39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5942361?\nAnswer: 3, 29, 167, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j**3 + 2*j**2 + 9*j - 46. Let f be h(3). Calculate the highest common divisor of 24 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2986 greater than 2492?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 71*g - 698. Is b(14) a multiple of 160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*n - 2*i + i, 2*n + 4*i = -14. What is the closest to -1 in 1, -2, n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*c + 900 = 280*c - 127*c for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008017987 to six decimal places.\nAnswer: -0.008018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -1\/80*p**6 + 2*p**2 + 3\/32*p**4 - 1\/8*p**3 + 0 - 1\/40*p**5 - 1\/448*p**8 + 0*p + 3\/280*p**7. Find w, given that z(w) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 244 - 44 = 5*q, 3*o - 36 = -q. Let f(m) = -m**3 + 7*m**2 + 2*m + 1. Calculate the remainder when q is divided by f(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 6*w**3 - 14*w**2 + 13*w + 7. Is y(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (11 - 4) - 13\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 8:33 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -148 - -248. Calculate the remainder when t is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -90 or -18.2?\nAnswer: -90","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 5*v**2. Suppose 6*a - 52 = 2*a. Let t(x) = 13 - x - a. Determine t(j(q)).\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18717 - -599035\/32. Find the common denominator of -33\/16 and n.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 485714311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 518 take away -50606?\nAnswer: 51124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14443 and 272272.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 377 - 341. Let h(t) = -t**2 + 4*t + 3. Let u be h(5). Let m(x) = -11*x - 4. Let a be m(u). What is the highest common divisor of a and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 5:18 PM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/((-25)\/10) + 8\/(-1). Let p(t) = -127*t + 21. Let y be p(a). Let o = 656 + y. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 182731 or 182732?\nAnswer: 182731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11097 - -11197. What is the highest common factor of w and 620?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {u: 2, p: 9, r: 2}?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 7*r**2 + 741*r + 7. Let i(q) = -q**2 + 7*q - 1. What is -6*i(g) - w(g)?\nAnswer: -g**2 - 783*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/8 + 3901*b\/8 + 7039039.\nAnswer: -(b - 9704)*(b + 5803)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.05 (b) -14 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of 3*b**8\/112 - 193*b**7\/35 + 51*b**6\/8 + 32*b**5\/5 - 6589*b**2. Let f(i) = 0. Calculate i.\nAnswer: -1\/3, 0, 1, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -729965*t**3 + 395896*t - 3.\nAnswer: -4379790*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 720 and 1224?\nAnswer: 12240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from gpg?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3 - 4)*(-2350*t**3 + 697358*t**2 - 697358*t**2) in the form s + a*t + o*t**2 + j*t**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16226?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 334656 and 7930944?\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 + -10)*3\/1. Let b = r - -26. Let i be 29\/3 + 2\/(-3). Solve -b*d - 3*q = -4*q - 18, 3*q = -i for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 27, 7\/290?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4*g + 322. Determine l(21).\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 + 63. Let v = 45 + -35. Let a(p) = p**3 - 11*p**2 + 10*p. Let y be a(v). Solve -11 = 2*j + r - y*r, 4*j + h = -5*r for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2630 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 6*m - 7. Let c be s(-4). Let d = -31 - c. Suppose -4*n - 47 + 1995 = d. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 44 = -5*w, h + 264*w - 265*w = -1. Let f(r) = -r**3 - 9*r**2 - 8*r - 7. What is f(h)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6330606?\nAnswer: 2, 3, 359, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*a + 5417 - 5413 + 7*a in the form c*a + i and give c.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence txx when three letters picked without replacement from {a: 1, x: 5, c: 6, n: 2, t: 1, i: 5}?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -213 - -478. Calculate the remainder when i is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + 2*q - 22. What is b(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 6*i - i + 17, -i - 1 = 0. Suppose -2*r - j = 3. Which is the closest to r? (a) 0.1 (b) 1\/6 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 559281348 is divided by 7789.\nAnswer: 7781","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/291372 and -85\/3496464?\nAnswer: 3496464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 7:37 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 z when three letters picked without replacement from {u: 1, q: 1, j: 1, z: 4, y: 1}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3 + 3 + 0 + l**2. Let h(z) = -3*z + 5. Let y(i) = -1. Let c(u) = 2*h(u) + 10*y(u). Calculate j(c(o)).\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 303866626 to the nearest integer?\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -11 times 171931\nAnswer: -1891241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 63890?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -17, -0.01, -2\/5?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.5 + -1.5. Let f = 0.02 - 0.42. Which is the nearest to m? (a) 0 (b) f (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**3 - 4*c**2 + 5*c - 2. Let f be v(-4). Suppose -5*g + 5*j + f = 3*j, -5*j = -20. What is the least common multiple of g and 11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -q**5\/120 - 2*q**3\/3 + 27*q**2\/2 - 221. Let p(c) be the third derivative of b(c). Let s(g) = -2*g + 66. Give p(s(a)).\nAnswer: 2*a - 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - c + 5 = 0, -o - 10 = -2*c - 0*c. Suppose k + o - 12 = 0. Is k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56616 (base 12) in base 3?\nAnswer: -12211122200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 946 + 5*c + 927 - 1860.\nAnswer: 5*c + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 7 - 1. Let y be 4\/(-6) + (-2)\/p. Suppose 5*z + 4 - 14 = y. Solve -r + 3 = z*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39592*n**5 + 11*n**2 + 1252 wrt n?\nAnswer: 2375520*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3983 + 6276. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - 11*z - 10. Let w be h(-8). Let t = 10 - w. Let v be ((-18)\/(-8))\/((-30)\/t). Which is smaller: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + 0)\/(23\/(-46)). Let f(w) be the first derivative of i - 1\/2*w**2 + 0*w - 1\/3*w**3. Find the second derivative of f(z) wrt z.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1970 + -1971. Put -4, -5, m, 4, -6 in decreasing order.\nAnswer: 4, m, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/2)*r*r\/(r**(1\/10)*r))\/(r**(-9)\/(r*r*r*r**(-2\/9)*r*r)))\/((r*r*r\/r**1)**39\/(r*r**0\/r*r*r)**(-48)) assuming r is positive.\nAnswer: r**(-7192\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2 = 2*r, 5*d - 3*r - 7 - 1 = 0. Suppose 3*l = 3*j + 8*l - 45, -l = -3. Suppose x = 3*x + j. Which is the biggest value? (a) 0.3 (b) x (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, -868\/11, 5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.660996 and 10.\nAnswer: 6.60996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(40)*-2*1)\/(sqrt(72)\/((sqrt(27)*-4)\/sqrt(3))) + -3.\nAnswer: -3 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001407224 to six decimal places.\nAnswer: 0.001407","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -9\/20*a**4 + 13 - 1\/5*a**2 - 1\/30*a**6 - 1\/5*a**5 - 7\/15*a**3 + 0*a. Suppose d(g) = 0. Calculate g.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/75*5*-6?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, 1, 1\/5 in ascending order.\nAnswer: 1\/5, 4\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -33277*z**4 - 5*z**3 + 2*z**2 - 701063 wrt z?\nAnswer: -133108*z**3 - 15*z**2 + 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41.7 + 47.09. Let c = v - 0.49. Let d = 1.1 + c. Is 1 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 277746131?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - 2. Which is bigger: x or -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 62*m + 7*m**2 - 21*m - 18*m - 22*m. Let t(d) = d. Determine s(t(b)).\nAnswer: 7*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -8*q**2 - 10*q - 14. Let x(k) = -7*k**2 - 10*k - 13. Let f(z) = -5*p(z) + 6*x(z). Determine d, given that f(d) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.77 and 740.6.\nAnswer: 741.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5331 from 2.\nAnswer: -5329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1 and -0.073.\nAnswer: 0.027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -8*b + 7*b - 3, -4*b = -12 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 208, -0.4, -1\/112?\nAnswer: -1\/112","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -9798, -4 in ascending order.\nAnswer: -9798, -6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + 4. Let x = s - 4. What are the prime factors of (148\/(x\/2))\/1?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*x + 3 - 5 + 4)*(2*x - 101 - 6*x**2 + 101).\nAnswer: 54*x**3 - 30*x**2 + 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -440141 - 3424?\nAnswer: -444005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 654182584 divided by -341?\nAnswer: -1918424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105327014 and 1131.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 132. Give o(12).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 103944007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -16 + -3 + -1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -5*f + 13. Give r(-5).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 2 = 2*b, 0 = 2*b - 4*b + 10. Suppose 0 = -2*q - 3*q + v + y, 5*v = -4*q + 28. Calculate the remainder when 25 is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 21*l**3 - 4*l**2 + 3*l + 1. Let q(r) = -541*r**3 - 14*r + 4*r**2 + 2*r**2 + 510*r**3 + 10*r - 1. Give -5*q(u) - 7*w(u).\nAnswer: 8*u**3 - 2*u**2 - u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 6)*(1 - 1 + 1)*(-1 + 1 - 1093*n + 1395*n).\nAnswer: -604*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 5*h - 43. What is the remainder when h is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4195929977?\nAnswer: 1237, 3392021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 374071*z**3 - 747963*z**3 + 373855*z**3.\nAnswer: -37*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*b**3 - 10*b**3 + 63*b**3.\nAnswer: 61*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z**2 - 13916468*z + 13916464 = 0. What is z?\nAnswer: 1, 3479116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 988\/(-190)*50\/(-455).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -8*q**2 - 2*q + 9. Let x(l) = 7*l**2 + 3*l - 8. Let n(m) = -3*p(m) - 2*x(m). What is the first derivative of n(j) wrt j?\nAnswer: 20*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1069\/801 + 1\/801. Sort -0.52, -2\/9, s.\nAnswer: s, -0.52, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -77 + 80. Solve 4*v - 3*c = 19, u*v - 6 = 4*c + 17 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 6*f - 5. Let y be l(1). Let b(w) = -19*w + 6*w + 4*w + 3*w + 1. Determine b(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*t - 3*m, 3*m + 4 = 4*m. Let v be (-42)\/30*8\/(-84). Sort t, -0.4, v.\nAnswer: -0.4, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y**2 - 21*y - 8. Let r be m(-9). Suppose -3*o + 193 = r. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/9 - 21489\/(-1026). Let n = j + -62\/3. Let t = -2081\/40 + 262\/5. Which is the second smallest value? (a) t (b) -0.3 (c) n (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 - 22.1. Let g = -0.4 - -0.16. Which is bigger: p or g?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of 0 + 44*k - 1\/2*k**2 - 1\/6*k**3. Give u(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-6))\/(5\/(15\/4)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than -0.07893?\nAnswer: 0.42107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**3\/15 - 92*k**2\/15 + 1024*k\/5 - 1344 = 0 for k.\nAnswer: -70, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53354567 is divided by 53354535.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -960*x**2 - x + 457*x**2 + 476*x**2 as j*x**2 + r + h*x and give j.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 723 + 1826. List the prime factors of j.\nAnswer: 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 116427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of 51*j**4\/2 + 429*j**3\/2 - 425*j**2. What is the first derivative of n(r) wrt r?\nAnswer: 612","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 119148\/119 or 1001?\nAnswer: 119148\/119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*b**3 + 3*b**2 + 70*b - b**2 + 81*b - 151*b.\nAnswer: 51*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 2 - (4 + -4 - (-5 + 17) - -76).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1965)\/90 - -21 - (-29)\/6. Solve 0 = -z + 2*t + 2 - 3, 0 = -r*z - 3*t - 15 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, g: 4, p: 5, t: 8}. Give prob of sequence gd.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-five sevenths of a week?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 2:42 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -1\/116, -0.3, 3\/79, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uooououuoouoo. What is prob of picking 2 u?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that m**4 - 678*m**3 + 114920*m**2 + 678*m - 114921 = 0.\nAnswer: -1, 1, 339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + 7*t - 7. Let l be p(-8). What are the prime factors of 6\/(l - (-1)\/1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(42\/(-9))*(-8)\/(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1137*n + 1157*n - 40. Solve 3*g = -n*t + 5*t + 24, 25 = -5*t + 2*g for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*o**2 - 52*o**2 - o + 270*o**2 - 94*o**2 + 339*o**2.\nAnswer: 532*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 4\/5*r**2 - 2\/5*r**4 + 6\/5*r**3 + 0*r.\nAnswer: -2*r**2*(r - 2)*(r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 2*u - 62 = 0. What is the remainder when 59 is divided by u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*h**3 + 0*h + 39*h**3 + 0*h - 78*h**3.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 100026.8 rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2041 is divided by 208?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**6*j + 3068*f**4*j**3 + 7*f**2*j**2 - 13*f*j**3 wrt f?\nAnswer: 120*f**3*j + 73632*f*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hfhqhfqhqqfhqhfqq. What is prob of sequence qhqf?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 319252.1km?\nAnswer: 319252100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*j - 51*j = 18316. What is the thousands digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 207897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 980 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 1:11 PM and 11:08 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - n + (5*n + 2*n - 5*n)*(0 - 1 + 3) + 0*n + 2*n + 0*n)*(6*n**2 - 1 + 1).\nAnswer: 30*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of c**4\/24 - 4*c**3\/3 - c**2. Let g be s(6). Let u(p) = p**2 + p - 2. Calculate u(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.22 * 5037.5\nAnswer: -1108.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 4. Solve -y - 1 = 0, 2 = 4*o - i*y + y for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 10 = 18*y - 13*y, -9 = -2*y - 3*t for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y + 6. Let l be t(-3). Suppose -8*m = -l*m. Solve m = 4*d + w + 8, d + 14 = 3*w - 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-5 + ((sqrt(110) - 2*sqrt(110)*-1 - sqrt(110))\/(6*(sqrt(10) - (-2*sqrt(10) + sqrt(10))) + sqrt(10)))**2)*1.\nAnswer: 44\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -743, -2, -1 in decreasing order.\nAnswer: -1, -2, -11, -743","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of 3\/2*l**2 + 10 + 4*l + 1\/2*l**3 + 1\/6*l**4. Let w(i) = 2*i + 2*i**2 + 3*i + 2 - 3*i - i**2. Determine -2*g(m) + 3*w(m).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2182, 2190, 2194, 2188, 2166?\n\"Answer: -i**3 + 4*i**2 + 3*i + 2176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -347? (a) 0.2 (b) -3 (c) 5 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 194414a (base 11) to base 2\nAnswer: 1100100010000001011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(126)*4*-5)\/((sqrt(60)\/sqrt(160))\/((sqrt(3) + (sqrt(12)\/sqrt(4) - sqrt(3)))*-5)).\nAnswer: 6000*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 564 = -46*t - t. Let v(j) = j + 17. Determine v(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n - 56. Let u(d) = 314*d**2. Calculate u(h(s)).\nAnswer: 1256*s**2 - 70336*s + 984704","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(((v\/(v\/(v\/(v*v*v**(1\/3)))))\/v)\/v)*v))\/(v**3*v*v)*(v\/v**(-1\/2))**(-1\/12))**(-10\/9) assuming v is positive.\nAnswer: v**(1135\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 7\/6, 2\/3, -32\/5, 0.7?\nAnswer: -32\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-306)\/(-17))\/((-6)\/(-32)). Let x be ((-6)\/4)\/((-3)\/32). What is the greatest common divisor of x and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 683913157, 683913155, 683913155, 683913157, 683913161, 683913167, 683913175?\nAnswer: 683913185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06418 rounded to three dps?\nAnswer: -0.064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4.69 in 0.22, -1\/2, 4\/7, 1, -1\/58?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 43, -1, -7 in descending order.\nAnswer: 43, 5, 4, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 7:07 AM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 6 - 1044\/609)\/((-58)\/7)\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -0*t - 2*t + 2*u, 5*t - 20 = -5*u. Suppose 0 = 5*j - j - t. Find the third derivative of -6*d**6 - d**6 - 44*d**j + 47*d**2 wrt d.\nAnswer: -840*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of 11\/3*k**4 + 66\/5*k**5 + 0*k**2 + 124*k + 0 + 0*k**3. What is the third derivative of s(x) wrt x?\nAnswer: 1584","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 8*s. Suppose 16*h + 146 = -46. Let g(v) = -15*v - 12. Let w(b) = 6*b + 5. Let j(n) = h*w(n) - 5*g(n). What is m(j(y))?\nAnswer: 24*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, f: 1, j: 5, a: 5}. Give prob of picking 2 a.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 7:22 PM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 169*c**2*y**2 + c + 21*y**2 wrt c?\nAnswer: 338*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do -93 and -1115\/12 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + v = -3*x + 5, -5*x + 2*v - 11 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -595 and -5226?\nAnswer: 3109470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 404701 and 117032171?\nAnswer: 1287353881","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 11:40 AM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7033 is divided by 155?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 8 + 5 + a + 1.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + -4 + (sqrt(847) + -4)*-6 + (sqrt(847)*-2 + -4 - sqrt(847)) + 3 + sqrt(847) + sqrt(847)*1)*-1)**2.\nAnswer: -2310*sqrt(7) + 41728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16.197 - -10.197. What is the smallest value in i, 2\/69, 13?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3*a**2. Let l(p) = 7*p**2. Determine i(l(d)).\nAnswer: -147*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9, -22\/5, 2\/17, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40499523*v**3 - 115924*v**2 + 320?\nAnswer: -242997138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -92.29\nAnswer: 276.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*i = -87 + 609 for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 41*r**3 - 8 - 39*r**3 + 3 + 5.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**4*d*d)*d\/d**(5\/2))**22\/((d*d**(1\/3))\/d*d*d**6*(d\/(d**0\/d))**(4\/23)) assuming d is positive.\nAnswer: d**(-10397\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttzytytzzyyy. What is prob of sequence yt?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 25 = 37. Let r(j) = 373*j - 15. Is r(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of 167*w**3 - w**2 + 32*w + 149. Find the second derivative of g(s) wrt s.\nAnswer: 1002","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 15 = 4*z, -x + 22 = 5*z + 27 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -110122 (base 4) in base 3?\nAnswer: -1210101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -118, -233, -358, -499, -662, -853, -1078?\nAnswer: -1343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 3*r = 148. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5203528 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3\/1018 + -503\/2036. Let n = 1.6 - -0.4. What is the nearest to -21 in n, q, 0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 a factor of 335891430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b + 17. Let i(y) = -4*y - 26. Let w(l) = -7*a(l) - 5*i(l). Let z be w(8). Solve -2*u + 9 = -z*c, 30 = -3*c - 2*u - 3*u for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(108) - sqrt(324)\/sqrt(3)) + (-2*sqrt(36)\/sqrt(3) - sqrt(36)\/sqrt(27)))**2.\nAnswer: 10816\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 4*q**2 - 6*q + 3. Let j(t) = -t**2 - 7*t - 5. Let i be ((-6)\/(-6))\/(2\/8). Suppose -i*g - 8 = -0*g. Let k be j(g). Calculate w(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29704 a multiple of 188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 198 in descending order.\nAnswer: 198, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42409 + 42580. Solve -d*z = -62*z - 763 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/60774 and -4\/1197?\nAnswer: 3464118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -436080 = -99*q - 16*q. What is the highest common factor of 96 and q?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 17771, 17749, 17721, 17693, 17671, 17661, 17669, 17701?\n\"Answer: b**3 - 9*b**2 - 2*b + 17781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 2\/371 (c) 34\/9 (d) -3 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1689*k*o**3 - 13*k*o - o**2 + 28 wrt o?\nAnswer: -10134*k*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3\/2*l**3 + 1\/2*l + 1\/2*l**4 + 0 + 3\/2*l**2 = 0. Calculate l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8328835663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, 5\/2, 4, -0.4.\nAnswer: -4\/3, -0.4, 5\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, l: 3}. What is prob of sequence glll?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -605*o**3 + 7603645*o**2 - 23890699720*o + 197443280 = 0. Calculate o.\nAnswer: 1\/121, 6284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - k + 1. Let z(x) = 13*x**3 + 5*x - 5. Suppose 5*b + 17 = 7*r - 10*r, 3*r = 4*b + 19. Determine r*z(y) + 5*j(y).\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -4 (b) 0.4 (c) -2\/5 (d) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 v when three letters picked without replacement from vvvvvivvi?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14192627.\nAnswer: 59, 293, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14330 + 24708. List the prime factors of s.\nAnswer: 2, 5189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -y**7\/30 - 2*y**5\/15 + 3*y**2\/2 + 12. Let i(f) be the second derivative of d(f). What is the third derivative of i(x) wrt x?\nAnswer: -168*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 3347605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0.5, -1\/5, 69?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 9*q + 1. Let m(v) = 17*v + 1. Give 4*m(o) - 7*s(o).\nAnswer: 5*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t. Suppose 0 = 4*l - 2*l. Suppose l*s + 2*s = 4. Let d(k) = -5*k**2 + 4*k**2 + 2*k**2 + k**s. Determine d(y(h)).\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 3\/107?\nAnswer: 3\/107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 3*sqrt(19) + sqrt(19))**2 + 5.\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/12)\/(2\/78). Suppose -37*l = 406 - 1368. Calculate the greatest common divisor of z and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 8*l**2 + 11*l + 4. Suppose 0 = -2*g - 0*g - 8. Let j = g - -12. Does 38 divide x(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -42*z**5 + 3118*z**4 + 217312*z**3\/7 - 292176*z**2\/7 + 111712*z\/7 - 13280\/7 = 0.\nAnswer: -10, 2\/7, 2\/3, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*j - 38*j - 28 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 16 = 2*w. Let c(g) = g**2 - 8*g - 6. List the prime factors of c(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48 - 46. Suppose -5*d - 3*b + 10 = 0, 16 = 4*d + q*b + 6. Suppose f + y - 2 - d = 0, -3*f + 3*y = -9. Solve 2*p = 4*i + 14, 3*i + 2*p + 2 + f = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23150484?\nAnswer: 2, 3, 7, 91867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 7*f. Let p(g) be the third derivative of 133*g**4\/12 - g**2. Determine -77*h(d) + 2*p(d).\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -4*y - 1. Let w be (4\/(-6))\/(8\/(-360)*3). Let p(o) = -9*o**3 - 1 + 3535*o - 3536*o + w*o**3. What is -4*p(n) + r(n)?\nAnswer: -4*n**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 65113795061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen eighths of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000110011000101001 (base 2) in base 12?\nAnswer: 11aa09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -2503.\nAnswer: 3\/2503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -52\/1840283 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -3 + 14 + -2 - (1341 - 1277)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(200) + 2 + sqrt(200) + sqrt(200))*-2.\nAnswer: -60*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30570?\nAnswer: 2, 3, 5, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, p: 7, v: 2}. Give prob of picking 2 v.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 63.6 + -63.59385. What is r rounded to four dps?\nAnswer: 0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 404391, 404392, 404393, 404394, 404395, 404396?\n\"Answer: i + 404390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*h**5 - 4*h**5 - 4*h**5 + (2 + 0 - 5)*(-5*h**5 + h**5 + 0*h**5).\nAnswer: 10*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 64\/(-6 + 2) + 0. Let q = s + 18. Suppose 32 = f + 5*x, -3*f = -4*x - q + 1. Solve -3*j - f = -w - 20, -5*w = -j - 5 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.113 rounded to one dp?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide (50 - 19) + (-16)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 9*n + 1. What is d(2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3789279 to the power of 1\/2, to the nearest integer?\nAnswer: 1947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26754727\/290210956 - 1\/482078. What is the common denominator of -93\/14 and n?\nAnswer: 1204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -475?\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6164007?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 9*p**2 - 18*p - 12. Let v(z) = 4*z**2 - 8*z - 5. Give -5*v(s) + 2*x(s).\nAnswer: -2*s**2 + 4*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/24 + (-8)\/(-32). Let o = -0.01 + -0.29. Sort o, -2\/13, x, -3\/14 in decreasing order.\nAnswer: x, -2\/13, -3\/14, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39 or -14?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or 3153?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**3 + 3*d**2 - 148*d - 6. Let l(c) = -4*c**3 + 6*c**2 - 295*c - 10. Give 5*a(m) - 3*l(m).\nAnswer: 2*m**3 - 3*m**2 + 145*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 4:31 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -32*j + 98. Let m be o(3). Solve 9 = -11*d + m*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3517*h**3*t - 4*h**3 + 4*h*t + 130 wrt h.\nAnswer: 21102*h*t - 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -50 + 8. Find the common denominator of -75\/28 and (67\/27)\/(56\/s).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*m + 49*m = 5*b, -2*m = b. Is -34\/95 > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6*(-3 - (-1)\/((-6)\/(-21))). Let p be r\/(((-105)\/125)\/(-7)). Suppose -1736 = -4*s + 4*w, 0*w + p = 5*w. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.4 + -3.6. Put p, 4, 0.5, 2 in increasing order.\nAnswer: p, 0.5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/55*(-379)\/758\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1372227 and 101103?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279924 is divided by 11663?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 79548241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2280941156.\nAnswer: 2, 13, 43864253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 580365 and 240.\nAnswer: 9285840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15656910?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 360878, 360879, 360880?\nAnswer: 360881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - a + 2*a + 2041565 = 0, 4*k - 2041560 = -4*a. Let t be k + -2*36\/(-8). What is t rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -15, -3*f - 1215515 + 331975 = 4*w. Let z be 869039\/2 - 2\/(-4). Let a = z + f. Round a to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1510*b = -1506*b + u - 148431, b + 5*u = 37122. List the prime factors of b.\nAnswer: 3, 7, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**(-1)*p)**(12\/11)\/(p**3*p**(-5\/3)))**(5\/7) assuming p is positive.\nAnswer: p**(20\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -15, -37, 3.\nAnswer: -37, -15, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -17. Which is greater: -1 or x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {s: 1, i: 8, b: 3, a: 6}.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11498706.7 rounded to the nearest 1000?\nAnswer: 11499000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 (base 13) in base 15?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/9 (b) 2 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2*p**3 - 492*p**2 + 53792*p = 0.\nAnswer: -328, 0, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 44 - 16 = 0. Suppose 0*p = -3*p + h. Suppose 6*v - 2*v - 3 = -3*f, 3*v = -p*f + 11. Solve 0 = 3*j, f*j = -5*k + 3*j - 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 564?\nAnswer: -566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 21003210 (base 4) in base 15?\nAnswer: aecc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - ((5 - 7) + 3 - -12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 877760 to the nearest integer?\nAnswer: 937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1411 (base 7) to base 12\nAnswer: -397","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/372476 and -15\/25688.\nAnswer: 744952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5950 is divided by 161?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -66248 and 6 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l - 30366. Let o(p) = 1525*p + 1. Give o(r(k)).\nAnswer: -1525*k - 46308149","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1584)*1 + (sqrt(1584) - (0 + sqrt(1584) + 1*sqrt(1584) - sqrt(1584))) + 0 - (-2 + sqrt(1584)*-1 - (sqrt(1584) + -1 - sqrt(1584))*-4))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -2*d**3\/3 - 4. Let z(y) = -3*y. Let t(h) = 6*h. Let q(c) = -5*t(c) - 9*z(c). Calculate u(q(w)).\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/3780 and 103\/36.\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 3*k + 0*k)*(-k**4 + k**4 + 2*k**4) - 6 + 6 + 11*k**5 + k**3 - k**3 + k**5 - k**5 - 2*k**5 + 5*k**5.\nAnswer: 10*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*c - 2*c - 3*c)*(125 + 123 - 38) - c + c - c + (-4 + 7 - 1)*(-3*c + 0*c + c) - 3*c + 2*c - c + 3*c + 2*c - 3*c to the form z + g*c and give g.\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -368.9 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -21317.4 * -32\nAnswer: 682156.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55789.\nAnswer: 47, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63, -90, -117, -144?\nAnswer: -171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76, -82, -88, -94, -100?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -55.263?\nAnswer: 55.263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 276 and 621?\nAnswer: 2484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -111 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3137 (base 9) in base 2?\nAnswer: -100011111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 480 + -465 + (0 - 24) + 70 + -2 + -9.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -294096\/1949 at least as big as -152?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50405042*0.6.\nAnswer: 30243025.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + 2*i + (0 + i + 0)*(0 + 3 - 2) + 6*i - 6*i + 13*i + (2 + 3 - 3)*(0*i + 2*i - 3*i).\nAnswer: 14*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6014.768854 rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aexx when four letters picked without replacement from {a: 1, e: 7, x: 2}.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13166*a**4 + 2*a**3 + a**2 - 3016400*a wrt a?\nAnswer: 157992*a**2 + 12*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 2*r, -19*r - 124 = 4*s - 178 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3060003\/100628 - -3\/100628. Let b = 516\/11 - g. Let q = -45399\/6230 - 8\/623. Calculate the common denominator of q and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/16 and 69\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3237366 or 3237363?\nAnswer: 3237363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, u: 1, o: 1, h: 2}. Give prob of sequence uhoh.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -244011004 - 241?\nAnswer: -244011300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -7*s - 10. Let k be d(-5). Let v be 12\/(-6) + (k - 1). Suppose -56 = -5*i + 2*f, 4*f = -0*i + i - v. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(-1\/4)*n))\/(n\/n**(-1\/5)) assuming n is positive.\nAnswer: n**(-19\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74426 = -6*h + 5*w - 74379, -h = 12*w + 159 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -6.4 * 111\nAnswer: -710.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 17*h - 28*h - 1357*h**2 + 26*h + 1.\nAnswer: -1357*h**2 + 15*h - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*d - 35*d = -4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2 - 6 = -3*t, 4*t = 2*q - 18. Let y(z) = -z**3 - 6*z**2 + 8*z + 4. Let r be y(t). Let c = r + 0. Is -3 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - ((2 - 10) + 6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2388 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*j + 45*j - 50*j)*(1 - 3 + 0)*(-4 - 3*j + 4).\nAnswer: 174*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -5*k**3 - 6*k**2 + 12*k + 7. Let i(w) = 4*w**3 + 6*w**2 - 11*w - 7. Let z(n) = -6*i(n) - 5*u(n). What is z(5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 5:19 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-1) + (-741)\/114?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 80\/13776*287*(2\/(-8))\/(10\/(-8))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 376*t + 177.\nAnswer: 376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 4 = b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 8*k - 7*k + 2538, 3*m + 3*k = 2538. Calculate the greatest common divisor of 658 and m.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11\/2 - -21\/4. Which is the second smallest value? (a) 0.3 (b) 0 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*v - 51*v + 40 + 113*v + 14 - 8.\nAnswer: 41*v + 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 711.3285 tonnes?\nAnswer: 711328500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jl when two letters picked without replacement from njjljjnljl?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, -2\/42911, 13 in descending order.\nAnswer: 13, 0.02, -2\/42911","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a1 + ab?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 447 is divided by 75?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 253375?\nAnswer: 253374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -256 or -255?\nAnswer: -255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 591584658 by -442141.\nAnswer: -1338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 106 - 42. Let z be (-9 - -14)*w\/(-10). Let p = z + 125. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/91 and 11\/11921?\nAnswer: 11921","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 12) to base 5\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 n, 1 p, and 1 r when four letters picked without replacement from {t: 1, n: 4, p: 2, q: 4, r: 5}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**3 + 16*t**3 + 5*t**3)*(-770 + 176*t + 770)*(2*t - 2 + 2).\nAnswer: 6688*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - v - 26 = 0, -s + 3*v = -5*s - 102. Let i = 24 + s. What is the second derivative of -15*c - 9*c**2 + i*c - 5*c wrt c?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 21*u**2 - 90*u + 895. Calculate p(19).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 100305 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -42, -4.\nAnswer: -42, -4, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27*m**4*v - 4*m**4 - 171*m**3*v - 63*m**2*v + 275*m + 2 wrt m?\nAnswer: -648*m*v - 96*m - 1026*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -11*y**3 + 1151*y**2 - 731*y + 315. Let s be b(104). Factor -24\/7 + 51\/7*l**2 + 54\/7*l + 9\/7*l**s.\nAnswer: 3*(l + 2)*(l + 4)*(3*l - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 184*z**2 - 4*z + z**3 + 2*z - 159*z**2 + (z**2 - z + z)*(2*z + 3*z - 4*z).\nAnswer: 2*z**3 + 25*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4*y - 12 = 0, -p + 4*y - 12 = 2*p. Suppose 5*h = -3*z + 25, p = 3*z + 13 + 2. Suppose o + h - 6 = 0. Which is smaller: -3\/4 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 2*b**2 + 2. Let g be k(2). Solve 2*o = -0*o + g for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/4*56\/(-140)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1375 to two decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -2\/7, 0.5, -3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*k**3 - k**3 + 6*k**3 + (0*k - 4*k**2 + 0*k)*(0*k + 2*k + 0*k).\nAnswer: -18*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -5701*m**2 - 4*m - 1. Let f(v) = -11402*v**2 - 7*v - 1. Let g(l) = -3*f(l) + 5*z(l). Let o be g(1). What is o rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 144 = 6*j. Does 7 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 5 + 1 + 9 + 35*f - 14 - 7*f.\nAnswer: 28*f - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1456434 (base 7) in base 14?\nAnswer: 5281b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -751.5 - -751. Let s be (1\/15)\/1*3. What is the smallest value in 10\/7, o, s, 0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/(-9))\/(9\/(-81)))\/((-2)\/7).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1604336?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-147)\/(-63) - 2\/6. Suppose n - 10 = -n. Suppose -n*y = 4*d + 25, -4*d + 2*y + 10 = -0*y. Solve f*o + o - 3 = d for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -75*p - 137. Let s be h(7). Let v = 1985\/3 + s. Which is the biggest value? (a) -0.087 (b) 3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of 7*g**4\/12 - 2*g**2. Let h(z) = 2*z**2. What is h(u(i))?\nAnswer: 392*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 69 = 3*w. Let f(q) = 3*q - 16. Let h be f(7). Suppose a + 3*d = -37, 5*a + h*d = 2*a - 95. Which is smaller: a or w?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.74481 - -247?\nAnswer: 246.25519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 4 + 3)*(446*o - 3 - 446*o + 3*o**2) as d + w*o + r*o**2 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21)*-2*-6)\/((sqrt(3) - sqrt(27))*1) + -4)**2.\nAnswer: 48*sqrt(7) + 268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -20*j**4 + 10928*j**3 + 39524*j**2 + 41776*j + 13200 = 0.\nAnswer: -2, -1, -3\/5, 550","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -399, 2400.\nAnswer: -399, 0.3, 2400","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lologglonlllgneog. What is prob of sequence onn?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**8\/(d\/(d\/(d\/d**(-1\/5)))))\/(d**2)**33 assuming d is positive.\nAnswer: d**(-296\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 643\/95296 or -1?\nAnswer: 643\/95296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 5*g = -55, -3*g + 15 = 3*f - 2*f. Suppose f*s = 4*s + 10. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 137*t. Let p(m) = -684*m. Determine p(v(c)).\nAnswer: -93708*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25220 + -14867. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -3008*y. Let z(j) = -70*j. Calculate -3*w(x) + 128*z(x).\nAnswer: 64*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - (8 + 19)) + 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2268, -4571, -6874, -9177?\nAnswer: -11480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1118 and 325.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -3*l + 15, -2 = -3*i + 7. Suppose 5*k - 7*k + 22 = 0. Let d(r) = -r**2 + 13*r - 14. What is the lowest common multiple of d(k) and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 0 + 13 - 13.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n*n**(1\/5)*((n*n**(-1))\/n)\/n*(n**1\/n*n*n*n)\/n**7)**20 assuming n is positive.\nAnswer: n**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 - 2)*(34*s - 33*s + 56*s)*(-2*s - 4*s + 0*s) + (-3*s - s + s)*(-6*s - 3*s + 10*s) as d*s + b*s**2 + y and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2018 - -5228. Suppose -j = -17*h + 2451. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 13 = 3. Suppose -q = 4*s - 2*k, -2 = s - 2*k + 3*k. What is the nearest to 0 in 2\/9, -8, s?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148415*u + 85315 = 147660*u for u.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3104*k - 205962 = -1917*k - 77339 + 182679 for k.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 457954 and 98.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21444?\nAnswer: 2, 3, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 divided by 11694.\nAnswer: 11\/5847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, t: 3, q: 2, r: 8}. What is prob of sequence qtz?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/(-6))\/((-3)\/(-9)))\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -209763, -209872, -209981, -210090?\n\"Answer: -109*w - 209654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of y**4\/8 - 2*y**2. Let b be ((-2)\/3)\/(6\/(-117)). Let x(j) = -3 - 2*j - 10 + b. Give t(x(u)).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 - 45. Let c = -16 - m. What is the remainder when 5 is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1748\/(-6) + (-3)\/(-9). Let b = 93 + -221. Let f = b - j. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 0 - 2 - 6*v**2 + v + v. Let b(w) = w**2. What is 4*b(s) + j(s)?\nAnswer: -2*s**2 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 34*n + 41*n + 6*n + n - 3*n + 0*n + (2*n - 4*n + n - 2*n + n + 5*n + (n + 3*n - 6*n)*(-4 + 3 + 2))*(-3 + 3 + 1).\nAnswer: 80*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 15 = -3. Which is the closest to 3? (a) -1\/4 (b) d (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -0*d + 115. Suppose 0 = 3*f - d - 28. Suppose -n - 4*n + 25 = 0. Solve n*j + 2*g - f = 0, -19 = -j - 2*j + g for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-12)*114\/190*348\/(-87)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 7:41 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1677478 is divided by 3584.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 285ca (base 14) to base 8.\nAnswer: 303146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -7. Suppose 94 = 5*v - 2*q + 19, -t*q - 45 = -3*v. What is the remainder when 59 is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -21 - 3?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1110050, -4440230, -9990536, -17760968, -27751526?\n\"Answer: -1110063*l**2 + 9*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -12590635 and 7.\nAnswer: -12590628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 14, -39, 5, -21, 0.01.\nAnswer: -39, -21, 0, 0.01, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 105120000 to the nearest one million.\nAnswer: 105000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -4*m - 0*m - 33, -87 = 5*p - 4*m. What is the tens digit of p\/(-9)*162\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 + -10. Let j = -17 + v. Calculate the greatest common factor of j and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4034, -8967, -14886, -21797, -29706, -38619, -48542?\nAnswer: -59481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*a - 81499 = -22*a - 29*a. List the prime factors of a.\nAnswer: 31, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 10:38 AM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 144 = 3*q, 79 + 167 = 5*q - 2*a. Suppose q = 4*v - 14. Is 8 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 4) to base 16\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**4\/7 + 15170*p**3\/7 - 28712788*p**2\/7 - 202918976*p\/7 + 2247900096\/7 = 0 for p.\nAnswer: -13, 6, 3796","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 - 2*d**2 + 3*d**2)*(3 + 2*d**2 - 3) + (-4 + 1 + 5)*(-6*d**4 + d**4 + d**4).\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -7. Let a = g + -1. Let t = 0.3 + -0.3. Sort a, -1, t.\nAnswer: -1, t, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of 11 + 0*s - 1\/20*s**5 - s**2 - 1\/6*s**3 - 1\/120*s**6 - 1\/8*s**4. Let u(f) = 0. What is f?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 2 = -22. Suppose -2*w + 4*d = -0*w - 236, c*w + 2*d - 432 = 0. Round w to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -3, 0.3, 0.1.\nAnswer: -6, -3, 0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 336*k - 333*k = -36, -k + 24 = 3*r for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/75 in -8\/5, 2\/5, 5, 3\/2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/211234 and -103\/749540.\nAnswer: 23235740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 - -37. Differentiate -k - k + 4 + 0*k + l wrt k.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23531, -47017, -70487, -93941, -117379, -140801?\nAnswer: -164207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/105)\/(1\/(-5)). Which is the closest to x? (a) 1\/6 (b) -0.4 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(2*sqrt(6)))\/sqrt(11).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 28 = -28. Solve t*c + 60 = 12*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164 is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**2 + 1179*g**3 - 193954*g - g**2 + 3*g**2 + 193956*g - 2*g**4 in the form j*g**3 + i*g**2 + y*g + h*g**4 + o and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 121072552 a multiple of 1868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -174016 - 92\nAnswer: -174108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12774798 a multiple of 4071?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1588889315 divided by 1\nAnswer: -1588889315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4174*j + 4124*j - 750 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 330169 is divided by 224?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 2 - 149*y**3 + 4.\nAnswer: -149*y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 3*r**2 + 8*r - 3. Let j(f) = f - 1. Let o(x) = -3*j(x) + y(x). Let l be o(-4). Calculate the common denominator of 5 and (-1626)\/140 + (-8)\/l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -3*i - 3*t, -3*i + 9*t = 4*t + 24. Let q(c) = c**2 + 13*c + 22. Let y be q(i). Let v = y + -23. Let u(s) = -s**3 - 2*s - 1. Give u(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 258*a + 96. Let f be c(8). Suppose -2*w = 2*w - 252. Let v be (-4)\/(-14) - f\/w. Does -34 = v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8442 and 1106.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8 - (-2 - -4)) + -2. Let i(o) = -13*o**3 - 36*o**2 - 12*o + 1. Let g(v) = 5*v**3 + 13*v**2 + 4*v. Let b(f) = -8*g(f) - 3*i(f). Give b(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.12 (b) 101.8 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 87755 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2*2 - (-8)\/8 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -7*h - 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n*n*n**(2\/9)*n)))**(-2\/77)\/(n\/(((n**1*n)\/n*n)\/n)*n)**(-5\/14) assuming n is positive.\nAnswer: n**(379\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -241 + 475 - a**3 - 6*a**2 - 209*a + 51*a - 234 wrt a.\nAnswer: -6*a - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 225990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -106.6 + 90297.552.\nAnswer: 90190.952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t. Let g(s) = 47*s**2 + 9*s. Determine g(v(r)).\nAnswer: 188*r**2 - 18*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(4\/7))\/(b*b**5*b))\/(b**(-25)\/b*b**(-11)) assuming b is positive.\nAnswer: b**(221\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10437 by 5.\nAnswer: 10437\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 + 17 - 14)*(-3*u - 3 + 3).\nAnswer: -66*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 25\/(-18) - (980\/2744 - (-16)\/14)\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = -3*w - 204. Suppose 0 = -4*i - 34 + 98. Let j be ((-34)\/8)\/((-2)\/i). Calculate the highest common factor of j and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36 + -31. Let n(g) = -g**3 + 5*g**2 + 2*g - 3. Let c be n(l). Find the second derivative of b - 9*b + c*b - 15*b**4 wrt b.\nAnswer: -180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x + 130. Let i(f) = -4*f. Let d(l) = 8*i(l) - u(l). Give d(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5\/30*-34)\/(6\/(-36)). Suppose -229 - 451 = -i*h. Does 6 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -108*h**2 + 2743*h - 61*h**2 - 165*h**3 + 87*h**3 + 77*h**3 - 2*h**4 wrt h?\nAnswer: -24*h**2 - 6*h - 338","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1964358353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157*q + 156*q = -5. Solve 4*w = w - r - 20, q*r = 2*w - 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152*a + 153*a = 2*t + 61, -t - 4 = 0. Does 10 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34.74 + 348.04. Let z = 313 - c. Sort 3\/2, 38, z in increasing order.\nAnswer: z, 3\/2, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1244, 2605, 4896, 8123, 12292, 17409, 23480, 30511?\nAnswer: 38508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**2 + 6*i + 5. Let s be f(-3). Suppose -36 = s*w + 144. Let g = 64 + w. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 1.9490374.\nAnswer: -5.8471122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*(sqrt(612)*1 - sqrt(612)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eb when two letters picked without replacement from {k: 4, e: 4, z: 1, w: 7, b: 1}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 3*d**2 - d - 1. Let f be z(-3). Is (-5903)\/f*(-5 + 3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -231a (base 11) to base 14.\nAnswer: -1178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -3*m, -2*m + 4*x + 7 = m. Let o(w) = w**3 + w**2 - w + 1. Let a be o(m). Find the second derivative of -5*p**a - p + 3*p**2 + 4*p**2 wrt p.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 3*y - 1. Let j be d(2). Let z = -53 - -83. Suppose -7*a + 2*a = z. Put -5, a, j in descending order.\nAnswer: j, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v. Let w(f) = 205*f**2 - 2*f - 3. Give w(d(r)).\nAnswer: 820*r**2 + 4*r - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157527 is divided by 4147.\nAnswer: 4088","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 1394 - 20411. List the prime factors of h.\nAnswer: 3, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 5*f - 115, -6*f + 3*f = -5*u - 75. Let v(p) = -p**3 - 5*p**2 - 4*p - 1. Let i be v(-4). What are the prime factors of i\/4 + u\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 18*o + 10650. List the prime factors of o.\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a millennium in decades?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 90 + 45. Let y be (827175\/3690)\/((-10)\/(-6)). Does y = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 465 - 251. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 2) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**3 - 13*c**2 + 9*c + 14. Let o be d(-8). Let g = -539\/4 + o. What is the third smallest value in g, -5.9, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -10902873 and 250.\nAnswer: -10902623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3742 + -3740.5. Which is the closest to s? (a) 1 (b) -2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((8\/(-16) - -11) + -15)\/(6\/8) + 86\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1268 - 1250. What is the remainder when y is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + o + 2 = 0, 4*y = 2*o + 2 + 2. Suppose -4*q - 21 = -3*x, 5*q + 2*x + 6 = q. Let c = 6 - 1. Sort y, c, q in decreasing order.\nAnswer: c, y, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**11*o)**(-17\/2))**(24\/11))**(-4) assuming o is positive.\nAnswer: o**(9792\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - k + 16 - 4 = 0, -2*c = -3*k - 4. Let j be (c + 72)\/(3\/(-3)). Let b = j + 128. Is b a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -894 - -2541. Suppose -10*a + h = -1553. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**2\/8 - 67*d\/8 - 65\/4 = 0. Calculate d.\nAnswer: -65, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66674 - 33313 - 31777 = 36*z for z.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i - 6. Let h be k(-5). Let d = 6 - h. Find the second derivative of j**3 - d + j + 2 wrt j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2447 - -11442. What is the thousands digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 20 = -2*p - 4*b, 5*b = 5. Let x = p + -4. Suppose 5*n + 2*u - 90 = x, 0 = 3*n - u - 0*u - 65. Solve 6*t - n = t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/16008 and 199\/3900.\nAnswer: 5202600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 0*l - 152 = -2*t, 4*l = -t + 580. Suppose -2*h - 6*h = -l. Let u = h + -6. What is the remainder when 46 is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 388 + -387. Which is the nearest to n? (a) 0.11 (b) 5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 1814?\nAnswer: 1816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 265137?\nAnswer: 795411","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11.58 - -11.6. Let s = -0.01 - j. Sort s, 0.4, 4.\nAnswer: s, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**2\/7 + 111388*l\/7 + 3002373 = 0. Calculate l.\nAnswer: -111199, -189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + 24*i - 126. Calculate the remainder when 621 is divided by f(10).\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 + 4 + (-33 - -20)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.0688 times 0.6\nAnswer: 0.04128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94, -20, 136, 398, 790?\nAnswer: 1336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.8 - -0.2. Let w = o + -2.1. Let r = 1 + 0. Which is greater: r or w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -20.11 and 0.15.\nAnswer: -3.0165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2155728 + -46.732\nAnswer: 2155681.268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 6931*b - 118. Let z(s) = -10*s. What is a(z(m))?\nAnswer: -69310*m - 118","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9689829*f**3 + f**2 + 5885565 wrt f?\nAnswer: 58138974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**2 - 9*j + 7. Let l be s(4). Let a be l - 0 - 1\/(2 - 3). Suppose 0*p + 5 = 5*p. Put a, 3, p in ascending order.\nAnswer: p, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 92 + -92. Suppose d = 2*o - 8, -o + 10592 = 3*n + n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7654*m - 3*y - 71 = -7650*m, -5*m + 6*y = -116 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3289432.\nAnswer: 2, 17, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from geaa. What is prob of sequence ae?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 588 divided by 147\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112247.\nAnswer: 112247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - -16) + (2 - 3). Let v = q - 12. Let y(p) = p**2 + 31*p + 200. Let k be y(-22). Solve v*i + 5 = k*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3103, 3105, 3107, 3109?\nAnswer: 3111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 95003, 95149, 95295, 95441?\n\"Answer: 146*b + 94857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 5*o - 4. Let q be (-10)\/4 + (-6)\/12. Let z be h(q). What is the third derivative of 10*g**2 - 2*g**2 + g**z + 8*g**3 wrt g?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -1\/290, 3, -49?\nAnswer: -1\/290","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**3 - 650*s**2 + 650*s**2.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(20\/11)*f)*f)**(31\/2) assuming f is positive.\nAnswer: f**(-279\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 93741 and 6.\nAnswer: 187482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3640.103 weeks in days?\nAnswer: 25480.721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/6 and 103\/35401954?\nAnswer: 106205862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + j - 7 = -21, -5*j - 25 = 19*q + 24*q - 42*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 427648543.\nAnswer: 7, 61092649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -128, -191, -362, -695, -1244?\nAnswer: -2063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2636196 in -4, -1, -5\/4, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -4489275.1 to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) 0.1 (b) 0 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of 4 - 3\/20*q**4 - 6\/5*q + 3\/10*q**2 + 2\/5*q**3. Factor n(l).\nAnswer: -3*(l - 2)*(l - 1)*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/10*20\/(-6)*-2. Let z(v) = -1972346*v - 59. Let m be z(f). Let p = -31478827 - m. What is p rounded to the nearest 1000000?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 980 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2 + 6*sqrt(325)*-2 + -2 - (((-6*(sqrt(325) + 1) + sqrt(325) - sqrt(325)) + sqrt(325) - (sqrt(325) + 1)*-6) + 3))**2.\nAnswer: 390*sqrt(13) + 54939","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 6*o**2 + 2. Let l(q) = 5*q**2 + 2. Let v = -66 + 70. What is v*a(t) - 5*l(t)?\nAnswer: -t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 123419530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 - -19. Let t(f) = 0 + h + 17*f - 19*f. Let d(q) = -5 - 183*q + 5 - 163*q + 366*q. What is d(t(k))?\nAnswer: -40*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26\/119 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -5*b + 18. Let q be f(8). Let z = q + 33. What is the greatest common factor of z and 110?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 7*k**3 - 14*k**2 - 1228*k - 2437. Give q(-2).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 163239614 to the power of 1\/5, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/3*(-1167)\/2. Let g be q*(2 - -603) - 0. Suppose -g = 9*y + 1221310. What is y rounded to the nearest ten thousand?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -290*y**2. Let v(l) be the second derivative of -l**3\/3 + 6*l. Determine v(u(z)).\nAnswer: 580*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 49 - 131. Let n be 6\/(-15) - 594\/(-10). Let u = 95 - n. Calculate the highest common divisor of c and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 + -0.2. Suppose -145 = -0*t + 5*t - j, 2*j + 29 = -t. Let q = 30 + t. Which is the nearest to -1? (a) 1\/3 (b) q (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h - 15. Let t(f) = 3*f - 10. Let d(s) = -5*p(s) + 7*t(s). Let c be 2\/3 + 56\/6. What is the tens digit of d(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2\/41)\/(f*f\/f**(-4\/3)) assuming f is positive.\nAnswer: f**(-416\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 21529, 43061, 64593?\n\"Answer: 21532*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -12 - -3 - -23 - 13. Let x(y) = -13*y**3 - y**2 + 2*y + 1. Let o(g) = g**3 + g**2 + g + 1. Calculate a*o(t) - x(t).\nAnswer: 14*t**3 + 2*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ktaob. What is prob of sequence ko?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 12.3, -0.2, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 11 = -3*o, 7 = o + 2*o + 2*v. Suppose -3*z = -5*z + o*l - 17, -l + 7 = -2*z. Is (0 - z)*(1 - -2) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 248 = -2*q - 2*q. Let s = q + 188\/3. Let d = -149\/5 - -151\/5. Which is the closest to s? (a) 0.2 (b) d (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.09 - 1.09. Let m = -4033\/228 + 211\/12. Sort m, i, 1\/3 in decreasing order.\nAnswer: 1\/3, m, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2206, -1493, -298, 1385, 3562?\n\"Answer: j**3 + 235*j**2 + j - 2443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3008 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -0*m - 3. Let o(n) = 3*n**2 + n - 7. Calculate the remainder when o(m) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a - 7. Let d be y(-7). Suppose 5*z = 15 - d. Solve 4*r - 2*i = 12, 4*i = -r + i + z for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2268)*6)\/((sqrt(72)*2)\/sqrt(8)))**2.\nAnswer: 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(9)\/sqrt(3)).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 87369 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 take away 130.61?\nAnswer: -67.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 = -5*m - v - 4*v, -2*m + 5*v + 60 = 0. Find the first derivative of -2 - 1 - 21*q**4 + m*q**4 wrt q.\nAnswer: 16*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 7 + 0)*(-f + f + f) + (-2 - 2 + 1)*(1 + 6 - 6)*(2 + 3 - 4)*(-f + 0*f - f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.03 (b) 0.2 (c) -25 (d) 0.014 (e) -0.1 (f) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2192587*2.\nAnswer: -4385174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/32 of a milligram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1295*i - 1302 = 1253*i. Calculate the remainder when 277 is divided by i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -668*g**2 - 82 - 81 + 670*g**2 in the form x*g**2 + v + t*g and give v.\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 116 - 115. Calculate the smallest common multiple of 90 and j.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 0*i**2 + i**2 + i**2. Suppose s = -2*s + 6. Let b(u) = -10 - u**s + 10. What is b(k(z))?\nAnswer: -4*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0168909 to three dps.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/9))**(-4\/19)\/((b*b**3)\/(b*((b*(b\/b**(-9)*b)\/b)\/b)\/b)) assuming b is positive.\nAnswer: b**(1018\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 2:37 AM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(245) + (-1*(sqrt(245) + (1 + sqrt(245) - sqrt(245))))**2.\nAnswer: 21*sqrt(5) + 246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17662005 and 19624450.\nAnswer: 176620050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 18967?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -32\/11 + 6\/11*k**2 - 4\/11*k = 0.\nAnswer: -2, 8\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 39*o = -61 - 95. Factor -8\/5*i**2 - 64\/5*i**3 + 0*i - 154\/5*i**o + 0 - 98\/5*i**5.\nAnswer: -2*i**2*(i + 1)*(7*i + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (3 - 2 - 2 - (-51 - -39))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8506 is divided by 149.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 51959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -46740\nAnswer: -140220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 762?\nAnswer: -760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 64*d**5*h**2 - 398*d**5*h + 291*d*h + 303*h**2 wrt d?\nAnswer: 1280*d**3*h**2 - 7960*d**3*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -4*r + 47296*r**2 - 47030*r**2 + 7*r. Let z(h) = -2*h. Determine u(z(g)).\nAnswer: 1064*g**2 - 6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 5*q**2 + 9*q - 3. Let o be s(-7). Suppose 4*l - o = 3*z, -5*l + 15 - 2 = 3*z. Which is the biggest value? (a) l (b) 1\/2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 472?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1375658 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/6)\/((-222)\/(-333))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, g: 2, a: 1}. What is prob of sequence gg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 271.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 3\/5, 2\/5, 4 in decreasing order.\nAnswer: 4, 3\/5, 2\/5, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -85 + 137. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3*u + 15. Suppose 2*s = 5*s - 12. Let y be 0\/(-4*(-2)\/s). List the prime factors of w(y).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-2 + 15 - (940 + -978)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/70)\/(26\/52).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13801459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of z**4\/12 - 23*z**3\/18 - 4*z**2\/3 - 47*z. Find c such that i(c) = 0.\nAnswer: -1\/3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1626 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: Solve -141*n + 142*n + 5*q + 30 = 0, 0 = -50*n - q - 6 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -18.87, -17, -1\/2, -465?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6, k: 4}. Give prob of sequence ddk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -23590168 divided by 14?\nAnswer: -1685012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.69659 to 0 dps.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**5\/13 + 20*a**4\/13 + 66*a**3\/13 + 88*a**2\/13 + 40*a\/13 = 0. Calculate a.\nAnswer: -5, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w**2. Suppose 6*m = 2*m + 3*l + 445, 0 = 2*m + l - 225. Let k = -110 + m. Let b(r) = 3*r**2 - 2*r**2 + 9*r**k - 31*r**2. What is b(d(p))?\nAnswer: -189*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -2*z + 53, 0 = 3*i - 5*z + 10*z - 38. Calculate the remainder when i is divided by 20.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*v - 52 - 22 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49, -261, -611, -1099, -1725, -2489?\nAnswer: -3391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*a**2 - 12*a**2 - 2*a**3 + 2*a**3 + 3*a**3 - 4*a**3 + 0*a**2 + 0*a**2 - 2*a**3 - 3*a**3 + a**3 + 0*a**3 + (-a + 3*a - 3*a)*(2*a**2 + 2*a**2 - 3*a**2).\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2010220 (base 3) in base 16?\nAnswer: -61b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 18*s**2 - 46*s + 7. Determine f(-15).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003062658 to seven decimal places.\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y. Let b(a) = -15*a. Let d = -94 + 93. What is d*b(q) + 20*g(q)?\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9\/11? (a) 5\/17464 (b) -2\/7 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 4 + 4*-1 + 1. Factor 1\/3*x**3 + x**p + x + 1\/3.\nAnswer: (x + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17.5615932 - -4.22\nAnswer: -13.3415932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 180 - 48. Does 12 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1888631.\nAnswer: 541, 3491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*m + 2*y, -12 = -3*m + 6*m - 2*y. Let k(b) = -3*b**3 - b + 1 - 1. Is 13 a factor of k(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 33728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, s: 1, l: 2, f: 1, p: 2, j: 1}. Give prob of picking 1 s, 1 p, and 1 f.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9 - 393?\nAnswer: -38a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3 + (0 - 4) + 63?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 a when two letters picked without replacement from meaed.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4612, 4831, 5050, 5269, 5488, 5707?\n\"Answer: 219*y + 4393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c**3 - 7*c**2 + 10*c + 8. Let v be u(8). Let s = v + -97609\/83. Does s = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + sqrt(2) + 1*sqrt(2) + -2 - (2*1*sqrt(2) - sqrt(2)))*6.\nAnswer: -12 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -76*l + 10709. Determine r(141).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 653 + -645. Calculate the greatest common factor of n and 2804.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30384242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-8)*64\/(-28)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 277*i = 174*i + 2200 - 9428, 4*i - 34 = 3*s + 42 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 15*q - 5 + 5 + 33*q.\nAnswer: 48*q + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-78 - -31 - -36)) + -25 + (1 - 0)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/57 (b) 17 (c) 5 (d) -0.2 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.0534723 to 4 dps.\nAnswer: -0.0535","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000016496 rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 874521.2l?\nAnswer: 874521200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99) + -3 + 3 + 4 + 2.\nAnswer: 6 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 12*u + 25. Let f be v(8). Let w = f + -108. Let z = -8 + w. Which is the closest to 11? (a) z (b) -2 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 = 2*c + 33*c + 23*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 + 12. Let t be 0 + (f - 76\/(-25)). Which is bigger: 1 or t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) 4 (c) 1\/4 (d) 2\/15 (e) 4399 (f) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9b53 + 5?\nAnswer: -9b4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, s: 2}. Give prob of sequence isis.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44 + -46.3. Let z = q + 6.6. Let b = -0.5 + z. Round b to zero decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -58*a**2 + 71*a - 106*a + 12*a**2 - 99*a + 30*a**2 as j*a**2 + t*a + n and give t.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1744088 divided by 218011.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of p**5\/30 - p**4\/8 + 5*p**3\/6 + 5*p**2. Let i(f) be the first derivative of d(f). What is the first derivative of i(r) wrt r?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 78\/8*(-3)\/(-36)*-16\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 496976 = -z - 4*v - v, -3*z + 4*v = 1490833. Let f = 51683397\/104 + z. Let h = f + -112\/13. Find the common denominator of -37\/11 and h.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79 divided by 242?\nAnswer: 79\/242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 0 + n**2 + 3 + 17*n + 9. Let s be z(-15). What is the tens digit of (-1857)\/s + (-7)\/42?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 16*q - 39. Let b be d(6). Let o = -41 + b. Calculate the least common multiple of 14 and o.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 615?\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -59*j**2 + 10*j - 10. Let v be n(3). Let x = v - 369. Round x to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -583\/2 - -285. Sort 2\/11, g, 6.\nAnswer: g, 2\/11, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5923124, -5923128, -5923134, -5923142, -5923152?\n\"Answer: -b**2 - b - 5923122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -4*f**2. Let k(c) = 3*c**2 - 2*c + 2. Let q(z) = -14*z**2 + 11*z - 11. Let s(n) = 22*k(n) + 4*q(n). Determine j(s(i)).\nAnswer: -400*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-34 - (-56 + 11)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 23*f - 14*f. Suppose 3*i - 4*g = -3, -g = -2*i - 3*i - 22. Sort i, -4, f in descending order.\nAnswer: f, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4075222?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42206275?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 941280?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 432982.5 millimeters?\nAnswer: 0.4329825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 - 23*u + 27. Let v = 3 - 1. Calculate the remainder when j(22) is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/8*m**4 - 177\/8*m**2 - 31\/2 + 25\/8*m**3 + 275\/8*m.\nAnswer: (m - 4)*(m - 1)**2*(m + 31)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 17 = 13. Let y be (-10)\/(-25) + 2\/(-5). Suppose 5*o - 46 - 4 = y. Calculate the smallest common multiple of c and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 0.3 (b) 0.1 (c) 3\/53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 - 23. Suppose 0 = 5*o + 1 - r. What is the greatest common factor of o and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.4, 3, -7, 4, 6, 2\/11?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 2*c**2\/3 - 190*c\/3 - 64 = 0.\nAnswer: -1, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1588 and -0.13.\nAnswer: 1587.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 2*l - l)*(-4*l + 5*l - 2*l) + ((l - 6*l + 3*l)*(2*l + 2 - 2) - l - l**2 + l)*(2 + 1 + 0).\nAnswer: -14*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 2*h + 35, -2*u + 11 = 4*h - 27. Let z = 14 - u. Is 3\/30*28*z a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 2*w - 5*w)*(2*w + 2 - 2) + 3*w**2 - 2*w**2 - 2*w**2 + 3*w**2 - 3*w**2 + w**2 - 4*w**2 + 2*w**2 + 3*w**2 + (-1 + 2*w + 1)*(84*w - 49*w - 189*w).\nAnswer: -309*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + f = -0*z + 6, 0 = 5*z + 5*f - 20. Calculate the least common multiple of 6\/(-5)*(-8 + 3) and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b. Let u be l(-1). Suppose 5*d + 7 = 2. Let c be (25 - (1 - 0)) + d. Solve 4*g + u*r + 4 = 0, 3*g - 5*r = c + 3 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -31*m**2 - 12*m - 6. Let p be b(-3). Which is greater: -248 or p?\nAnswer: -248","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 648315449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 80552515?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7377 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -13*z**3 - 14*z**2 + z + 7. Let y be i(-3). Let b = 237 - y. Solve -5*d + 3*d = -2*j + b, j = -5*d - 26 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -99, -1468, -47 in decreasing order.\nAnswer: -47, -99, -1468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15 or 270\/17?\nAnswer: 270\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 361511871*h**4 + 268646917*h wrt h?\nAnswer: 4338142452*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -15.1 + -0.1751797245503\nAnswer: -15.2751797245503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -28*x + 2*x**2 + 15*x + 2*x**3 + 4 + 11*x. Let u be r(-2). Solve 4*p + 8 + 4 = u for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 63 + -63. Which is bigger: k or -1\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + (-675645)\/(-832) + 1. Let n = 486767\/64 + s. Let r = n + -8423. Find the common denominator of r and -77\/6.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a kilogram in grams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 343396 and 5274?\nAnswer: 3090564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5181656 is divided by 165?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - ((-9)\/(-6))\/(12\/(-1800)). Let u = -58 + c. Is 7 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + i - 18 - 3, -15 = 4*m + i. Put -1, 2, m in increasing order.\nAnswer: m, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 43*i + 256. Let o be c(-36). Solve o*j - 3*j + 4*y - 21 = 0, -y + 5 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 + 20. Let j = 0.38 - 0.28. What is the closest to 0.04 in a, j, -0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -3\/2*g**2 + 23 + 2*g**3 + 3\/4*g**4 - 6*g. Factor x(s).\nAnswer: 3*(s - 1)*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r + 0*r + 8*r**2)*(-2 + 2 + r)*(-2*r + 21 - 21) as x*r + d*r**4 + b*r**2 + l*r**3 + t and give d.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -7.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -2*m - 148. Suppose -5*j - m + 52 = 0. Suppose 0 = -5*o - r + 1652, 5*o + 456 = j*r + 2120. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(90) + -2*sqrt(90) + sqrt(90) - sqrt(90))\/sqrt(5)*4*-5.\nAnswer: -300*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 + -2 + -3)\/2. Let h be 15\/((b - 0) + 2). Suppose -v + h - 1 = 0. Calculate the highest common divisor of v and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v**2 - 6*v**2 - 4*v**2 - 6*v**2 to p + g*v**2 + o*v and give g.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**20*(j\/((j*(j\/(j*j\/(j*j**(-2\/25))*j))\/j)\/j))\/j*j**(-8\/7)\/j*j*(j*j**(-17)\/j)\/j assuming j is positive.\nAnswer: j**(514\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*z - 29 = -29. Solve 2*y - 3*d + 3 = -z*y, -2*y - 2*d = -12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 122*b**2 + 11 - 9)*(-4*b - 2*b + 4*b).\nAnswer: -244*b**3 + 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46.9 - 79.9. Let b = -33.346 - h. What is b rounded to 0 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24220 or 24225?\nAnswer: 24220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -77, 123, 323, 523?\n\"Answer: 200*b - 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-5 + -1 + sqrt(147))**2 + -1).\nAnswer: -182 + 84*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.21 take away 2133439728?\nAnswer: -2133439727.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2171 and 147461.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -131\nAnswer: -39.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c**4 + 42*c**3 + 55*c**2 - 100*c + 8. Let b(p) = -2*p**4 - 28*p**3 - 37*p**2 + 67*p - 5. Let w(d) = -5*a(d) - 8*b(d). Factor w(q).\nAnswer: q*(q - 1)*(q + 3)*(q + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 0. Let x(v) = 5*v**3 + 2*v**2 - 3*v + 2. Let s be x(1). What is the least common multiple of (-12)\/s + 3*u and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**5\/3 - 76*t**4\/3 - 273*t**3 + 3004*t**2\/3 - 2108*t\/3 = 0. Calculate t.\nAnswer: -62, -17, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**2 + 6*w + 2 - 2*w - 1 + 5. Let h be l(4). What are the prime factors of 4\/h - 5312\/(-80)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-0.165.\nAnswer: -0.165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-46)\/(-6)*42\/(-98) and 53\/13?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1140 <= 0.15414?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -7*m - 6. Let t(x) = -x**3 + 14*x**2 - 2*x + 24. Suppose 5*d - 101 = -31. Let u be t(d). Calculate q(u).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5592*v**4 - 636*v**2 + 23886 - 11945 - 11943 + 2*v wrt v.\nAnswer: 134208*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1728\/45)\/6)\/(-6*(-7)\/105).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7578\/(-1263))\/((-54)\/(-4))*1.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19085 and 110?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*b + 14 - 14)*(-8*b + 16*b + 15*b).\nAnswer: -874*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.691436 kilometers in nanometers?\nAnswer: 6691436000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of o**3\/3 - 8*o**2 + 15*o + 1183. Factor m(g).\nAnswer: (g - 15)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, z: 10, w: 4}. What is prob of picking 3 k and 1 w?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(245) - (-3 + sqrt(245) + sqrt(245)*-3)**2) + 1)*6*-4.\nAnswer: 1848*sqrt(5) + 23708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 5:36 PM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 8845.078 decades?\nAnswer: 884.5078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + (85 - (-22 - -154)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - 0 - (60 - (37 - -15)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 128186651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -118*(-5)\/(25 - 35) - (6 + -2)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-34)\/(-10) - (-9)\/15. List the prime factors of 0 + t + 81 + 8.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 85 by -5.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -5*g + 23. Let j(a) = a + 9. Let x be j(-5). Solve 0 = x*m - m - g for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 379104.\nAnswer: 2, 3, 11, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1215817.\nAnswer: 163, 7459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -4*t - 10, 3*f + 2*f + 3*t = 7. Suppose 7*r = 3*r + 96. Let v = r - 23. Which is smaller: f or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1019 in 1\/10, 1, 0.7, 0.5, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*o*y**4 + 6*o*y - 2*o - 172*y**4 - 38*y**2 wrt y?\nAnswer: 144*o*y - 4128*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -1\/2, -5, -2, -10?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1395*z**3 - 2*z**2 + 3469*z**3 + 10631*z**3 + 3 + 4*z**2.\nAnswer: 12705*z**3 + 2*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -18020 (base 9) in base 12?\nAnswer: -7223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 425896?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/3? (a) 1\/3 (b) 0.5 (c) -0.2 (d) 1\/574\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.053077 * -0.12\nAnswer: 0.00636924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 - -218. List the prime factors of n.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - (56 + -109 + 37)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 185379?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 49322 and 2?\nAnswer: 49322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w - y + 3, -1 = -5*y - 6 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -o**3 + 200*o**2 - o - 20 wrt o.\nAnswer: -6*o + 400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 6*u + 2*u)*(-11 - 4 + 3).\nAnswer: 60*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7.25? (a) -2 (b) 4\/7 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 d, and 1 g when three letters picked without replacement from {g: 3, j: 2, d: 1, q: 2, r: 4}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 - -20. Sort 5, 0.5, d.\nAnswer: 0.5, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**3 + 634804*b**2 + 100745933989*b + 604452751206 = 0. What is b?\nAnswer: -317399, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20372?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 260432?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3*x + 4. Let i(z) = 28*z + 35. Let q be (-5)\/(-2)*24\/(-15). Let a(b) = q*i(b) + 35*c(b). Let d(s) = -s. Determine a(d(w)).\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, l: 4, d: 1, s: 2}. Give prob of picking 1 s, 1 u, and 1 d.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7678? (a) -2\/19 (b) -1 (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 11957.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 11 - 31 + 17*j**3 + 2*j**2 + 10 in the form l*j**2 + i*j**3 + d + r*j and give i.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 7 = 2*j, -174*j - 39 = -173*j + 7*u for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/20)\/(-2) + (-21)\/20.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -182574 divided by 54\nAnswer: -3381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1984 and 1.\nAnswer: -0.1984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -2*r**4\/7 + 5256214*r**3\/7 + 21024880*r**2\/7 + 21024888*r\/7 = 0.\nAnswer: -2, 0, 2628111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*y - 4 - 28 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - (3 + -40 + -3)) + -27 + 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 349 + 7*r - 349.\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -106.\nAnswer: -1\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, d: 2, x: 6, m: 3, w: 1, t: 2}. Give prob of sequence wx.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -1, 2 in increasing order.\nAnswer: -16, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1169, 2311, 3419, 4487, 5509, 6479, 7391, 8239?\n\"Answer: -g**3 - 11*g**2 + 1182*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -349, 0.048, 5?\nAnswer: -349","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13085 + -13771.1. Round l to the nearest ten.\nAnswer: -690","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -80*m - 6374*m**3 - 6181*m**4 - 1626*m**3 + 1200*m**2 + 2 + 26181*m**4 = 0.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -19192*r**3 - 3*r**2 - 31*r - 31. What is the tens digit of z(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -3 (c) 3 (d) -1\/5 (e) -11\/45\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/((-2)\/12*2). Suppose 0 = -3*s - d, -3*s = -0*n + n. Suppose m - 5*x = 15, 3*m + 2*m = -n*x + 47. What is the lowest common multiple of 11 and m?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1592 - 102.5710318.\nAnswer: 1489.4289682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1474639196.\nAnswer: 2, 368659799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + (-1 - 2))*-1. Find the second derivative of 3*m**3 + p*m**4 - m**3 - m - 2*m**3 wrt m.\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 27040125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 106, -210, 0.02, 15?\nAnswer: 106","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 1779*h + 2 + 1778*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 5 - 10 - 520*o)*(-4 - 7 + 6)*(2*o - o + 2*o)*(-1 + 2*o + 1).\nAnswer: 15600*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215 = 3*d + 209, -3*p = 3*d - 9 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (18 - 48)*(-1 + 2)*-1. Let f = 12.31 - 10.31. Which is the nearest to y? (a) 2\/3 (b) f (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19945 + 44658. What is the ten thousands digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 * -1.35\nAnswer: 0.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 76542.9 decades?\nAnswer: 765429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2. Let k(q) be the second derivative of 0*q**2 - 3 + 19\/3*q**4 + 2*q + 0*q**3. Calculate k(t(c)).\nAnswer: 76*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -7*r + 4 + 69 + 5, 13*r - 172 = -2*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 5:21 PM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 2:01 AM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9780995 grams to milligrams.\nAnswer: 978.0995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - 2*g - 8. Suppose 24*s - 258 = -66. Calculate d(s).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (90 + -44 - 12) + (6 - (1 - 4))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - -1) + 4 + -1. Suppose -4*s + 2*j = -14 + i, -2*j = -s. Suppose -a + s = -21. Is a a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 10*z - 10. What is h(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56 and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 64*m - 69*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1791 - 5?\nAnswer: 1786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -129373879\nAnswer: -2\/129373879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p - 9. Let h be t(-9). Find the third derivative of h*n**6 + 3*n**6 - 8*n**6 + 3*n**2 wrt n.\nAnswer: -600*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000021323111 rounded to 6 decimal places?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2432, -2434, -2438, -2444, -2452, -2462?\n\"Answer: -v**2 + v - 2432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 653215174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 8 = 3*o. Suppose 1 = 3*n + 7*q - 3*q, -n + o*q + 7 = 0. Suppose 0 = 4*a - 6*a + 2*d + 12, -3*d + 48 = n*a. Solve -4*k + a = -5 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13274563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.368302 weeks to minutes.\nAnswer: 3712.48416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 166 - 68. Let p = j + -99.7. Let s = p + 0.7. Is 21 less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/20 and 109\/45650?\nAnswer: 91300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/4*(-22)\/(-55)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 281749 = 130*u + 279409 for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -18383638 times 0.2\nAnswer: -3676727.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1334991 - -3752?\nAnswer: -1331239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 748, 1217, 1686, 2155, 2624, 3093?\nAnswer: 3562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jzjg when four letters picked without replacement from {k: 2, g: 1, z: 3, j: 6}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -187 (b) -1 (c) -0.2 (d) -0.045 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from amrrtfmmfrjftrmrmmmj. Give prob of sequence mjtr.\nAnswer: 7\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2.95 (b) 2\/7 (c) 4 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1236 + 1252. What is the greatest common divisor of c and 232?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1584?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 3*m**2 - 8*m + 19. Let w be l(4). Suppose 2*o = -2*o - w*a + 1, 3*o = -3*a. Is o at most as big as 2\/103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1388 and -1.\nAnswer: -1.1388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a tonne in kilograms?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 62*j**3 - 5*j**2 - 10*j**4 - j + 3*j**4 + 5*j + 4*j**4 + 4*j**4 wrt j.\nAnswer: 24*j + 372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2416771*o**3 + 0 - 2416765*o**3.\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2aa + -1811c3?\nAnswer: -180c16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2277 at least -2290?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 25 + -206?\nAnswer: -181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -48, -509, -1282, -2367, -3764?\n\"Answer: -156*v**2 + 7*v + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of -m**5\/10 + 17*m**4\/12 + 4*m**3\/3 + m**2\/2 - 21*m. Let l be j(9). Is (10\/l)\/(-5) + (-8211)\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2030350668.\nAnswer: 2, 3, 23, 29, 41, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6500)\/(-120))\/5)\/(6\/(-24)*20).\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -10*y**5\/7 - 56696*y**4\/7 + 34373650*y**3\/7 + 20667272*y**2\/7 - 1966152*y = 0?\nAnswer: -6222, -1, 0, 2\/5, 553","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.026436173 to three dps.\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4416400 rounded to the nearest 10000?\nAnswer: 4420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + -4 + 2)*1. Let y(m) = 9*m - 1. Calculate y(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 58 + 0 + 1 - (-1 - -4). Let o = l + -45. Let t(p) = p**3 - 10*p**2 - 7*p - 26. Does 18 divide t(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8.09 + 8.5. Let a = 0.40941 - u. Round a to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/12*-1 + (-11)\/(-3). Solve -4*l - q = -3*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 28 + 371. Suppose -13*u - b = -2135. List the prime factors of u.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**3*l**2 - 27161917*c**3*l + 429815*c*l**2 - c - 9*l**2 wrt c.\nAnswer: -6*c*l**2 - 162971502*c*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 845613591 to the nearest integer?\nAnswer: 946","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11961 + 11985. Let i = 12 + -22. What is the remainder when 688\/20 + 4\/i is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 292512 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 53\/574481 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38341)\/851*1 - (-30)\/555.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6.002 times 60\nAnswer: -360.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5766546 (base 8) in base 6?\nAnswer: -53335422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 24*x + 31. Determine d(-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r - 5. Let j be h(-6). Let d(q) = -q**3 - 11*q**2 + 2. Let w be d(j). Find the second derivative of -z + 5*z**5 - 21*z**5 - w*z wrt z.\nAnswer: -320*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccivcgi. Give prob of sequence cv.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 + 819236*b - 4915560.\nAnswer: 4*(b - 6)*(b + 204815)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -11*c - 51. What is the remainder when 50 is divided by v(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7696361?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-26)*w**(-21) assuming w is positive.\nAnswer: w**(-47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pda when three letters picked without replacement from {a: 2, d: 9, p: 4, b: 1}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 312001331 (base 4) to base 10.\nAnswer: 221309","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**(-5))*c*c\/(c**3*c))\/(c**(-2))**(-27))\/((c**4)**(-3\/5))**(-8\/3) assuming c is positive.\nAnswer: c**(-287\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/12 and 49\/44?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -794 times -0.06\nAnswer: 47.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrarhrqiriarrihra. Give prob of picking 2 h and 1 q.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 - (42 + -24 + -10).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6324 and 594959812.\nAnswer: 2108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of 0*a**5 + 0*a**3 + 1\/4*a**4 + 0*a**2 + 0 - 2\/21*a**7 + 0*a**6 - 3*a. What is the third derivative of n(w) wrt w?\nAnswer: -240*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v - 10*v - 11*v - 7*v to the form s*v + y and give s.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5364.\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of y**2 - 1\/60*y**5 + 0 + 0*y**3 + 1\/24*y**4 + 4*y. Let d(c) be the first derivative of r(c). Find l such that d(l) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*d + 816 = 1300 + 638 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 - 69 - 13 = 25*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -199*t - 1386. Let m be n(-7). Let z(j) = -18*j**3 - 4*j**2 - 4*j - 2. Let u(d) = 36*d**3 + 7*d**2 + 7*d + 4. What is m*z(f) + 4*u(f)?\nAnswer: 18*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 10*j + 9. Let n be d(-6). Suppose -h + 2*z + 42 = 0, 3*z = 4*h + 74 - 217. Let l = h + n. Calculate the highest common divisor of l and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 93045347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -646 + 653. Let d(z) = z + 1. What is d(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m**2 - 22*m + 19. Let c be r(-8). Let h(u) be the first derivative of 1 - 1\/2*u**2 + c*u. Give h(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1166848 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 v when two letters picked without replacement from fypvzzzptypppzzzf?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.1 (b) 5 (c) -2\/9 (d) 0.054279\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -29365000 rounded to the nearest 100000?\nAnswer: -29400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4.5, 5, -48, -3\/7, 5\/2 in descending order.\nAnswer: 5, 5\/2, -3\/7, -4.5, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(2\/5)\/s))**25 assuming s is positive.\nAnswer: s**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2)*(-22*x + 22*x + 33*x**2) + (0*x - x**2 + 0*x - 2*x**2 + 0*x + 0*x + (3*x - 7*x + 3*x)*(-x + 2 - 2))*(6 - 1 - 2).\nAnswer: 27*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 100424301 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y + 9. What is x(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 122734?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of 25*d**3\/3 + 363*d. Let z(a) = 4 - 4 + 2*a. Calculate z(h(l)).\nAnswer: 100*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/30*(-2)\/9.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8416 is divided by 989.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.274 + 3224926383.\nAnswer: 3224926376.726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1424.3766295 and 91.\nAnswer: -1333.3766295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 2\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, k: 2, m: 3}. Give prob of picking 2 m.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of d**8\/42 + d**4\/3 + 3*d**2\/2 + 10*d. Let l(b) be the first derivative of q(b). What is the second derivative of l(f) wrt f?\nAnswer: 160*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(19)*2 + -2))**2 + -3.\nAnswer: -32*sqrt(19) + 317","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 20*v**2 - 22*v. Let m = 29 + -26. Let i be 64\/(-3) + 1\/m. What is the tens digit of j(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157180 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 0 + 2 - g - g. Let r(t) = -t**3 - 3*t**2 + 1. Let b be r(-2). What is the units digit of k(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4350, 21568, 50266, 90444, 142102, 205240, 279858?\n\"Answer: 5740*f**2 - 2*f - 1388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3507 and 148463.\nAnswer: 445389","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2707974553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.22717 rounded to the nearest integer?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -268d8 - -88?\nAnswer: -26850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**4*n**(8\/3)\/n*n**(-6)\/n*n**(-2\/5)*n)\/((n**2)**41\/(((n**4*n)\/n)\/(((n\/((n*n**7)\/n))\/n)\/n))) assuming n is positive.\nAnswer: n**(-1046\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -3*l**4 + 198276*l**3 + 1189728*l**2 + 2379504*l + 1586352 = 0.\nAnswer: -2, 66098","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and -5.51.\nAnswer: -5.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 - 34. Let z = 19 - q. Let y = z - 28. Is y less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1258, -5, -1043, -2.\nAnswer: -1258, -1043, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 4*q = -10628, 0*i + 2113 = i + 5*q. Is 76 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.032457 * -15.03.\nAnswer: 0.48782871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3860066?\nAnswer: 2, 7, 275719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3.1, -0.4, -484?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 5*x - 930 - 3780, -5*f + 4774 = 3*x. Calculate the remainder when f is divided by 59.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of q**4\/12 + 3*q**3\/2 + 9*q**2. What are the prime factors of j(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2949 + 1916. Let q = -192783947517\/39596744 + -5\/3599704. Let z = n + q. Calculate the common denominator of z and -41\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -905 = -8*a - 129. Let s(t) = -a*t + 10 + 70*t + 0. List the prime factors of s(-6).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 138388922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**3 - 33*f**2 + 15*f + 20. Let m be k(16). Suppose m*x - 2288 = -4*d, -793 = -3*d - x + 915. List the prime factors of d.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -153.25065 rounded to 0 decimal places?\nAnswer: -153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -568.8 rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 19*r = 14*r, o = -2*r - 13 + 28. Suppose -h = -35 - 0. Calculate the smallest common multiple of h and o.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17\/34*2\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 275582?\nAnswer: -55116.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 14 = f, 2*v - 1 = -9. Suppose -5*h - d - f = -1, 3*h = -d - 1. Suppose 2*z = -h*z + 44. Is z a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3063*n + 3062*n + 3064*n + 5 - 9191*n.\nAnswer: -2*n + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 9 = -4*j - 20, 31 = -5*j + 2*h for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 510361125 a multiple of 636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2482*u + 19 = -2487*u - 2*t, 4*t = -4 + 16 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*h**4 - 15*h**3 + 5*h**2 + 15*h = 0. Calculate h.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 3*c = 0. Let u = -2 + c. What is the tens digit of -3 - u - (-288)\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -87 + 92. Suppose 0 = -j*y - 15 - 0. Let q be (-3)\/(-3) + 1\/3. Which is the second smallest value? (a) y (b) -0.3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7782, -4186, -24140, -52086, -88030, -131978?\nAnswer: -183936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-441)\/(-108) + ((-3)\/8)\/((-30)\/(-60)).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -n**3\/2 + 2398*n + 1. Let r(t) be the second derivative of 0*t**2 + 0 - 1\/6*t**4 + 2*t + 0*t**3. Calculate r(p(y)).\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 1) + 2284\/(-8) + -2. Let z = v - -289. Which is the smallest value? (a) z (b) -3 (c) 2 (d) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 12*m - 4 - 4809*m**2 + 0*m**3 + 4803*m**2 + m**3. Let t be v(3). Put -3, -5, t, -35 in descending order.\nAnswer: t, -3, -5, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**3 - 3*h + 4*h + 2*h + h - 2*h**2 to p + l*h + r*h**2 + k*h**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (462\/(-35))\/((-3)\/10). Let o = d + -37. Solve 6 = -y + o for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22275 and 73975.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 46\/(-42) - 32\/(-336). Let l = 9 + -4. What is the second smallest value in t, l, -13?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + 29*d + 6. Let t(u) = -10*u**2 + 88*u + 9. Let f(y) = t(y) - 3*w(y). Calculate f(2).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n + 3. Calculate the remainder when 7 is divided by z(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1))**19\/(t**12\/(t\/(t**(2\/5)*t))) assuming t is positive.\nAnswer: t**(-157\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 473 - 471. Solve 0 = 5*a + q - 0*q + 12, h = 3*a - 4*q for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7716 and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - -37 - (0 - -1).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4\/1415 (b) 5 (c) -0.3 (d) -0.4 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 3. Let n(j) = j - 1. Let v be n(k). Solve v = -5*q + 2*i + 1 + 24, -3*q + 4*i = -15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -12960, -25951, -38942?\n\"Answer: -12991*y + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -32*-28322999\nAnswer: 906335968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -484, -969, -1454, -1939?\n\"Answer: -485*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 17 - 2*f**2 - 8.\nAnswer: -2*f**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -4*y**3\/15 - 4202*y**2\/15 - 2098*y\/15 + 140 = 0.\nAnswer: -1050, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m - 2 + 2 + m + m + m + 2*m + 5 - 5 + (3 - 1 + 0)*(m - 2 + 2) - m + m + m to z + u*m and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 12517*b - 12483*b + 1 as s*b + z and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*x = -87*x. Let v = 1.2 - -2.1. Is x equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*c**4 - 4*c**4 + 4*c**4 + (1 - 1 - 2*c**2)*(-5*c**2 + 10*c**2 - 6*c**2).\nAnswer: -4*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*a = 23 - 2, 2*q - 30 = -2*a. List the prime factors of q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-6))\/((-154)\/2310)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11993349, -23986693, -35980037, -47973381, -59966725?\n\"Answer: -11993344*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*g = -42*g + 12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 51, 2\/7, -7\/3?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sygkqqp. Give prob of sequence pkyq.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r**2 + r**2 - 2*r - 2*r**2 to s + z*r + k*r**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214347*p + 240 = 214348*p - 61*k, -10*k - 28 = -3*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -247*a**2 + a**3 + 84*a**2 - 2*a + 1 + 87*a**2 + 81*a**2. Let x be t(-4). What is the derivative of 33*n - x + 45 - 11*n - 19 wrt n?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*w**3 - 4*w**3 - w**3 + 20*w - 16*w wrt w?\nAnswer: 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 - 17?\nAnswer: -1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 7*g - 8. Let c be a(-6). Let d = 3 + 2. Suppose 4*x = -d + 1. Put x, 3, c in decreasing order.\nAnswer: 3, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.209 + 31.209. Which is the smallest value? (a) n (b) -3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 13*1392\/1456) + 15.\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -19 + 0 - (-3)\/(-3). Let h(s) = 15*s**2. Let r be h(1). Suppose -r*q = -13*q + 40. Is g at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/7, 307\/3, 3\/2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b - 13 + 53 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/10 + (-98739)\/6095.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210 (base 14) to base 13.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 22*d**3*n**3 + 47*d**3 - 1091*n**3 - n wrt d?\nAnswer: 66*d**2*n**3 + 141*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 300114498 to the power of 1\/5, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**5 - 731*d**4 + 2347*d**2?\nAnswer: 120*d**2 - 17544*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 166 by 5.\nAnswer: 166\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42.8504, -0.08, 5, -3.\nAnswer: -3, -0.08, 5, 42.8504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c - 3 + 3 + (11 + 24 + 85)*(4 - 4 + c).\nAnswer: 118*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -2*c + 97 + 285, -5*v + 5*c + 375 = 0. Suppose 72 = 5*w + 3*x, 5*w - x - v = -5*x. Calculate the least common multiple of w and 22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9\/16 of a kilometer?\nAnswer: 56250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 0 = -3. Let n(b) = -2*b**3 + b**2 + 2*b + 2. Let u be n(-1). Suppose -7*z + u = -6*z. What is the highest common factor of z and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 13?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 w when two letters picked without replacement from {w: 1, r: 2, x: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a**5\/7 + 16758932*a**4\/7 + 23405194838700*a**3\/7 + 10895828154276577500*a**2\/7 + 87165127310323500000*a\/7 = 0. Calculate a.\nAnswer: -1396575, -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/39 + 132\/(-351).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -44, -79, -124, -185, -268, -379, -524?\n\"Answer: -x**3 + x**2 - 31*x - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 178.3867ns in seconds?\nAnswer: 0.0000001783867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 21.8753 and 2.7?\nAnswer: 59.06331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1851 - -3881. Let k = -2066.776 + n. Let q = 37 + k. What is q rounded to two decimal places?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -68*l**3 + 10978*l**2 - 2*l - 48755704 wrt l.\nAnswer: -204*l**2 + 21956*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-13 - (-7 - 7))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) -3\/10 (c) -1740\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 5*r + 51 = 3*y, 4*y - r = -51. Put 5, y, 1 in ascending order.\nAnswer: y, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3*p**3 - 5*p**2 + 13*p + 4. Let h be s(-5). Calculate the greatest common divisor of h and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 83 - 85 - 3*i + 246 + 12*i**3 - 81 + 49*i**3. What is l(-1)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*y - 925 = -65*y - 25*y - 8317 for y.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -451*t + 361*t + 35*t + 33*t + 25*t.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - b - 274. Let a = -499 + 518. Calculate the remainder when 131 is divided by r(a).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 5*c - 2*c - 9, 5*o - 2*c = 1. Let l be -2 + (o - -2) + 19. Is 3\/2*(l + 2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 577*m = 574*m + 26331, r = 3*m + 8781. List the prime factors of r.\nAnswer: 2, 3, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - c = 5*s - 8, -22*c + 541 = -7*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 8 + 12 - 2*m - 22 - 3*m + 9. Let b(j) = -25*j + 2. Determine b(o(n)).\nAnswer: 125*n - 173","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2 (b) -0.01 (c) -10 (d) -6.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3123.7 + 3397. What is f rounded to the nearest 10?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 73035 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**3\/4 - 2474265*f**2\/4 - 306103075875*f\/4 - 918286959375\/4.\nAnswer: -5*(f + 3)*(f + 247425)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 296068*b**3 + 743*b**4 - b**2 - 3 + 296065*b**3 as g*b**4 + w*b**3 + r*b**2 + k*b + v and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 532721004.\nAnswer: 2, 3, 73, 608129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4356 + 6588 - 765 - 3562 + 7586)*(-r**2 + r**2 - r**4).\nAnswer: -14203*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 71 = 34. Let w(s) = 8 - 1 - 4 + 15*s - 2*s**2 - s**3 + 3. Calculate the remainder when j is divided by w(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-3))\/(2\/(136\/(-68)))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 5*s + 5. Let q be k(-5). Let v be (-2)\/(-11) - (-100)\/q. What is n in 3*n**2 + 8 - 3*n**v - 5*n**2 + 3*n**2 = 0?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 339 + -488. Let s = n + 155. Solve -s*q + 5*q = -5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1723627601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4818215 divided by 963643.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3823.999996036 + -3824. What is p rounded to 7 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4518195 + 57?\nAnswer: 4518252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.02, -1\/6, 1, -1\/2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1519061544 a multiple of 4004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*o = -9. Let d(z) = -o*z - 2*z + 6*z. Let u(l) = -2*l**2. Calculate u(d(h)).\nAnswer: -50*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*d + 1 - 1 = 7*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2426908235 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -46 + 616*a**2 + 38*a**3 - 616*a**2 + a wrt a?\nAnswer: 228*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = f + 6 + 6, f = -5*o - 27. Let d be (1 - 3)\/2*f. Is d bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48 - 32. Is 612\/w + (-3)\/12 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k + 5. Let h(w) = 2*w + 5. Let f(j) = -3*h(j) + 4*x(j). Let s = -1 + 11. Suppose -u + 0*v = v + s, -10 = 4*u - 2*v. Determine f(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5559 divided by 1\nAnswer: -5559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62084.01 millilitres to litres.\nAnswer: 62.08401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 - 10. Let y = -1 - -3. Suppose -3*k - 2*k + 27 = 3*h, 2*k = y*h - 34. Calculate the least common multiple of b and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/3996 and -95\/4.\nAnswer: 3996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -385 = -334*c + 139*c - 186*c - 4*a, -5*c = 5*a - 10 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 476899938 to the power of 1\/3, to the nearest integer?\nAnswer: 781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*f = 75*f - 24 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 4, -30, -3, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.87 - 4.37. Let t = -151 - -151.3. Let y = 0.1 + -0.1. What is the nearest to y in t, 8, v?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8612789?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 29411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 4*c - 2 + (2 + 0 - 3)*(c + 0*c + 0*c) + (3 - 3 - 2*c)*(3 + 5 - 29) in the form r*c + u and give r.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2500*f**2*w**3 + 893*f + w**3 wrt f.\nAnswer: -5000*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2226422+-3\nAnswer: 2226419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 181057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a*h*v**3 - 1612*a*h - 14*a*v**3 - h*v**3 - 305*h - 3*v + 1 with respect to a.\nAnswer: h*v**3 - 1612*h - 14*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2286, -2424, -2572, -2730, -2898, -3076?\nAnswer: -3264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44*b**6 - 16*b**5 + 2*b**2 - 17*b.\nAnswer: 5280*b**3 - 960*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/56*(-3 + 27)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 5*y - 5*y)*(-3 + 0 + 1) + 3*y + 0*y + 0*y + 16*y + 36 - 36.\nAnswer: 23*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a centimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -2*w**5 - w**4\/2 + 6*w**3 - 5*w**2\/2 - w = 0?\nAnswer: -2, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33.5, 1, -0.5, -47396, -5.\nAnswer: -47396, -5, -0.5, 1, 33.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**3 + 200*y**2 + 2288*y - 5408 = 0 for y.\nAnswer: -26, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 - 19*v - 44. Give d(-10).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.113 + -0.108. Let w = 2.995 + g. Which is the third biggest value? (a) 0 (b) -2\/5 (c) w (d) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1809 and 2880.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 196, 1629, 5520, 13099, 25596?\n\"Answer: 205*g**3 - g**2 + g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/1848 and 97\/6.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 28, 0 in decreasing order.\nAnswer: 28, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*k**2 - 5 - k + 13 + k wrt k?\nAnswer: 10*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7225, -6544, -5885, -5260, -4681, -4160, -3709?\n\"Answer: -2*w**3 + w**2 + 692*w - 7916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -150.702 * 5\nAnswer: -753.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 240 and 310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(209)\/(sqrt(44) - sqrt(11)) + (sqrt(19) + 1)*5 + (3 + 1 + sqrt(304) - ((0 + sqrt(304))*-5 - sqrt(304) - sqrt(304)))**2).\nAnswer: -38954 - 524*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 6*h - 65*n = 48, -3*h - 4*n = -36 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-3)*(-8)\/((-128)\/312)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3540762 is divided by 115.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 178 + -208 - (-20 - 2) - (1 + (-1 - 1))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4117 - 4117. What is the fourth smallest value in 2, -199\/4, -0.5, v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*1*(-2 + 3*sqrt(208) - (5 + sqrt(208)*3)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vgbcggvvggwwgg?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 43 + -14?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1545.789 + -1544. What is z rounded to two dps?\nAnswer: 1.79","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(1*(-2 + 1)). Let j(a) = -6 - 2*a + 3 + 2 + 12. Calculate j(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in 61\/5, -5\/4, -71?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 8*s**2 - 7. Let d(t) = -t**2 - 15*t + 6. Let b be d(-15). What is the tens digit of n(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1214133823 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -159, -312, -465, -618, -771, -924?\nAnswer: -1077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-86)\/18 + 5 - 0. Sort -1.1, 7, -2\/9, 0.1, x in ascending order.\nAnswer: -1.1, -2\/9, 0.1, x, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 72 + 36*y + 54*y.\nAnswer: 90*y + 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 9:16 PM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 - 35 + 10*n + 16.\nAnswer: 10*n + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z - 2*z + 3*z. Let j(w) = 2*w. Let d(p) = -p**3 - 2*p - 11. Suppose -6*l = -l. Let q be d(l). Determine q*r(s) - 6*j(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 11*d. Let a(b) be the first derivative of -5*b**2 + 33. Give r(a(s)).\nAnswer: -110*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*i - 402 = 414 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -20 - 5*w - 4*w + 11*w - 10 + 5. Determine z(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 29*n - 312. Let y(p) = -10*p + 105. What is 3*g(o) + 8*y(o)?\nAnswer: 7*o - 96","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*v = 4*p + 2, v = -p + 4. Let o = v - 8. Let a(q) = -q**3 + 5*q + 5. Let f(t) = -t**3 + 6*t + 6. Calculate o*a(x) + 5*f(x).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g + 28. Let a(y) = y - 14. Determine 5*a(z) + 2*w(z).\nAnswer: z - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 4:47 AM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16863528 divided by -14.\nAnswer: 8431764\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 3\/7, -0.01, 0.5, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 560*t**3 + 7*t**2 - 3*t. What are the prime factors of q(3)?\nAnswer: 2, 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-9 - -2) + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.16 - 2.06. Let d = 10 - 9. Are w and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -176 - -417. Let i = -50 + g. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1501 + -848. List the prime factors of q.\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qows when four letters picked without replacement from {q: 1, o: 1, w: 2, s: 2}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 10*s - 6. Suppose -2*r = -4*b + 92, -5*b + 5*r - 3*r = -117. Let t be 5\/b + (-108)\/(-10). Let h be v(t). Solve -h*d + d = -20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((2 - 1) + 3)*1. Let h be p\/(-5) - 8\/(-20). Let s = 30.535 + -30.335. What is the closest to 2\/11 in -2\/11, s, h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.633028l in millilitres?\nAnswer: 4633.028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2264\/(-1981) - (-2 + (-6 - -3))) + (-48)\/12?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**2. Let d(b) = 2988*b**2. Determine d(o(s)).\nAnswer: 11952*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 1. Let g = 42 + -37. Suppose -2*z + 108 = 5*n - 5, -g*n - 4*z + 121 = 0. What is the greatest common factor of n and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(272)*-1.\nAnswer: -4*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4822 - -4817. What is the smallest value in t, 10, 9?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 3*d + 16. Let g = -5 + d. Suppose 0 = 5*y - g + 41. Is -6 at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000129134525 to 7 dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*s - 10*s - 16*s - 23*s + s.\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 327.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -546614, -546608, -546602, -546596?\n\"Answer: 6*k - 546620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mlllmlllilimlll. What is prob of picking 1 i, 1 m, and 2 l?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -71755 and 0.1.\nAnswer: -7175.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -70*f**4 + 77 wrt f?\nAnswer: -280*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in -2, 2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1379, 0.1, -2, -0.3, 0 in increasing order.\nAnswer: -2, -0.3, 0, 0.1, 1379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 13\/3, 0.4, -4\/5 in decreasing order.\nAnswer: 13\/3, 0.4, 0.2, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-7)\/(-2))\/(91\/(-14)). Let j(u) = u**3 - 2*u**2 - 7*u - 2. Let n be j(4). Suppose 3*h + d + n = 0, -4*h = h + 4*d + 8. Is c <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 12 - (-52 + (-49 - -124)) - 10?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 5 - 4 = -4*s, -2*t - 6 = s. Suppose 5*d = 26 + 84. Let k = t + d. Calculate the remainder when k is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -9 and -320\/39 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u - 32. Let y be p(12). Let l = y + 35. Solve -3*z - 7 = 3*a + 8, 0 = -3*z - 2*a - l for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.2 (b) 2\/65 (c) 3 (d) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ra when two letters picked without replacement from {p: 3, c: 1, r: 1, f: 2, a: 5}.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/5, 5, 162, -8296?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v**2 - 320*v + 143*v - 280 - v**3 + 3*v**3 + 49*v = 0. What is v?\nAnswer: -10, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.016568412 to four decimal places.\nAnswer: 0.0166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-4 + 2*sqrt(704) + sqrt(704) + 1 - -1*(sqrt(704) + 5 + (sqrt(704) - sqrt(704)*1) + sqrt(704)))**2.\nAnswer: 160*sqrt(11) + 17609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -5*j - 3, 4*a - j = -2*j + 9 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 10011001011001001 (base 2) to base 7\nAnswer: 444654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06525 - 1127?\nAnswer: -1127.06525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 4*m + 3495 - 3463, 5*w + 32 = -4*m. Put 79, w, -2 in descending order.\nAnswer: 79, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11766948 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2704155, 2, 13 in decreasing order.\nAnswer: 13, 2, -2704155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 11*x**2 + 2*x - 1. Let u be a(1). Suppose -7*s + u = -3*s. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75 + 209 + -94 - -48.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -56 (b) -3 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 796956148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80001 is divided by 100.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -30832, -1\/5, -20?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1767 by 24.\nAnswer: -589\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3*s - 1. Suppose -6 = -v + 3*v. Let r be b(v). Suppose -8*w = -6*w - r. Solve 2*f - w = -2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 15 - 21 + (0 - 2 - 1)*(-133 + 29 + 3))*(-2 + 2 + u).\nAnswer: 256*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 7560 divide 3128432675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17860 or -13?\nAnswer: -17860","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -26 in -0.03, 0, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4070300 and -2809?\nAnswer: 4067491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of 2151*p**5\/5 - p**3\/3 - 1029*p**2\/2 + 50*p - 34. What is the first derivative of h(y) wrt y?\nAnswer: 25812*y**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3673 + -3712.91. Let v = s + 40. Put 3\/7, v, 4 in increasing order.\nAnswer: v, 3\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 625 and 33008125.\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*q - 121*q - 207 = 0. Suppose -p + 0*p = -27. Let u = p + q. Which is the nearest to 1? (a) -0.5 (b) 0.5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -10 + 4. Let v be (-2)\/(2\/3) - -1. Let w = 4 - v. Calculate the smallest common multiple of w and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + l - 2299 = -l, -1383 = -3*y - 3*l. Let g = 884 - y. Is (5 - 4) + g*2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + 9*o - 20. What is b(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 times 0.4?\nAnswer: 5.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 8:40 PM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1*(2*sqrt(171)*-4 + -2)**2 + 0).\nAnswer: 96*sqrt(19) + 10948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 h when four letters picked without replacement from {d: 4, i: 2, h: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-108)*-4*-3.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/36*-6*(-30)\/(-25)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7402 is divided by 947?\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 906889 and 21299.\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 294120 and 36120?\nAnswer: 2058840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 35 = -3. Let t = y + 26. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4*-3)\/(((-19803)\/92)\/41)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 6:29 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 3 = 5*j + 2*a, -4 = -2*j - a. Is 22 a factor of j*1\/2 + 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3502 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16832*s*u**3 + 6*s*u - 123*u**2 wrt u.\nAnswer: 100992*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 701 (base 8) to base 3.\nAnswer: 121122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*b - 11*b - 13*b - 4*b**2 + 10*b.\nAnswer: -4*b**2 - 39*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 211\/17685390 and 94\/3195.\nAnswer: 53056170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/8, -4, 0.0676, 1\/11?\nAnswer: 0.0676","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*s**5 - 1115*s**4 - 4050*s**3 - 1540*s**2 + 4760*s + 1920 = 0. What is s?\nAnswer: -2, -2\/5, 1, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t + 652*j - 647*j + 17, -18*t + 19*t - 12*j = 49 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g - 2. Give r(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 10}. What is prob of picking 3 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53401 is divided by 26697.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-570)\/12*(1 + 14\/(-10)). Solve -x*b - 28 = -12*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 443 + -133. Let d = t + -289. Put d, -1\/2, 1\/5 in ascending order.\nAnswer: -1\/2, 1\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -4*i**3 - 18*i**2 - 12*i - 16. Give y(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*1*(-17)\/(-119)*-7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 43*p - 28. Let m(r) = 87*r - 55. Let t(b) = -3*m(b) + 7*s(b). What is the first derivative of t(q) wrt q?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -11*o**3 - 155*o**2 - 12*o + 2. Calculate u(-14).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from ftfrrrrrrrfrfjtrra?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16*m**2*x - 28*m**2 + 4*m - 2*x - 28461 wrt m?\nAnswer: 32*m*x - 56*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**10*b)\/b*b*b*b\/b**(-13)*b)\/(b*b**(-6))**(-5\/12))**(1\/15) assuming b is positive.\nAnswer: b**(71\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i*i**2)**14*i\/(i\/i**(-15))*i*i**4 assuming i is positive.\nAnswer: i**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}