{"text":"Question: What is the second biggest value in -3\/8, -1\/5, -13.08?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -37, -1.7, 4 in decreasing order.\nAnswer: 4, -1.7, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2013 + 2014. Which is the third biggest value?  (a) 3  (b) -3\/4  (c) w  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4 + 1 + -3 + 1. Suppose -m*s + 17100005 = -5*q, -4*s + 1235486 = -3*q - 21564517. Round s to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-40)\/((-80)\/18) - -13.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*w - 27*w - 85 = 5*x - 65*w, 0 = -4*x + 2*w - 4*w - 68 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -117, 407, 1793, 4473, 8879, 15443, 24597, 36773?\nAnswer: 52403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 0*h - 166 = -2*h, 4*c - 3*h + 330 = 0. Let b = 114 + c. Does 13 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.03 - 3.03. Which is the third biggest value?  (a) n  (b) -7\/4  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 55\/(-132)*4*6.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = z**3 - 5*z**2 + 5*z + 1. Let m be u(4). Suppose x - p + m = -4*x, -p + 5 = -3*x. Which is smaller: -1\/47 or x?\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*g**2 + 3 + 9 - 91 - g**2 - 33 + 44*g.\nAnswer: -4*(g - 7)*(g - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 0*n = 40. Let t be 1\/(-4) - 65\/n. Factor 4*o**2 + 9 + 11*o - 4*o**4 - t*o**5 - o**5 + 20*o**3 + 7 - 43*o.\nAnswer: -4*(o - 1)**3*(o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + t = 5, -t + 4*t = o - 5. Solve -o*b = 3*b + 20 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16057753.\nAnswer: 127, 227, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3\/(-2) + 8\/4. Are g and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4395764981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3717*c + 3027*c - 478824 for c.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 337 + -335. Solve -b*d - s - 15 = -0*d, 2*d + 3*s + 25 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 36763 = -5*u + 61756, 0 = -5*j + 30. Calculate the remainder when u is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand x + x - 6*x + (-2*x - 1 + 1)*(-42 + 32 - 78).\nAnswer: 172*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1a - 4?\nAnswer: -1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3982 and 1738?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 23*q**2 - 5*q**2 - 8*q**2 - 6*q**4 wrt q.\nAnswer: -144*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 2, p: 1}. Give prob of sequence qp.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + q - 28 = 0. Let y = 12 + q. Put -1, y, 1 in decreasing order.\nAnswer: 1, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 31*z**2 + 5*z + 5. Let u(m) = 171*m**2 + 27*m + 27. Determine 27*p(y) - 5*u(y).\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*h - 5 = 5*b - 14*h, 0 = -h for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is one sixth of a week in minutes?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 27 - 66. Let n = i - -30. Which is greater: -3\/8 or n?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3375331, -3375273, -3375203, -3375115, -3375003?\nAnswer: -3374861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = -4*r + 4*q + 77, -4*q + 107 = 5*r. Let t = -11 + r. Does 7 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r**2. Let b(k) = -334*k**2 - 3*k - 1. Let g(q) = -b(q) - 4*d(q). Does 42 divide g(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 - ((-10 - -8) + 21 + -7 + -15).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 762 and 5726176?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 197, 851, 1937, 3455, 5405, 7787, 10601?\n\"Answer: 216*t**2 + 6*t - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = 7*x - 33. Suppose x*p + 40276 = 128875. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -7*h + 17. Let t be a(3). Let y be (0\/2)\/1*(-5)\/10. Is 1819 - (y\/t - 4 - -4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 4*w**2 + w + 8. Let j(r) = 7*r**2 + 2*r + 15. Let z(i) = i**2 - 7*i - 27. Let y be z(10). Give y*j(n) - 5*a(n).\nAnswer: n**2 + n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10 = 10*t, -27363*d = -27367*d + t - 1 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hhzhhhz.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*u - 3*u + 33. Suppose 0 = x - 2 - u. Let m = 169 + -78. Calculate the highest common factor of m and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1473*b - 5932 = -40 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 14*t + 16. Let r be b(-5). Let w be (-798)\/r + (-4)\/(-18). Let l = -3 + w. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/((-4)\/10)*1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*b = -6*b - 3. Let c(x) = -x**2. Let v(i) = -i**2 + 7*i - 2. Let r be 6\/5*20\/6. Let z(g) = b*v(g) + r*c(g). Factor z(w).\nAnswer: -(w - 1)*(5*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve k + 4*x + 64 = 0, -8*k - 139 + 182 = -5*x for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 53 - 73. Let w = t - -21. Let u be 1 - (1 + -1) - (-8)\/w. Calculate the highest common divisor of u and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2495*i + 1771*i - 991*i = -1916*i - 441235 for i.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*q + 7*q - 4. Put q, 5, -3, -4 in decreasing order.\nAnswer: 5, q, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 59*w + 1. Let g(r) = 29*r. Let x(z) = 2*g(z) - j(z). Let s(a) = 1. Calculate 6*s(u) + 2*x(u).\nAnswer: -2*u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 360263152 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -1\/482?\nAnswer: -1\/482","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -15 - -11. Let h = j + 3.99. Let r = 2.99 - h. What is the nearest to -1 in -4\/7, r, 0?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence voo when three letters picked without replacement from {v: 6, o: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 85356.9 and 1.7.\nAnswer: 145106.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*b + 36 - 269 - 194*b**2 + 195*b**2 - 542 to the form d*b + k*b**2 + l and give l.\nAnswer: -775","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (8\/8)\/(2\/14). Let a be 37\/b - 12\/42. Sort -9, -2, a in descending order.\nAnswer: a, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = s**2 + 9*s + 4. Determine z(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4 + 12. Suppose 5*l + q = -2. Let j(n) = 1351*n + 2. Let p be j(l). Round p to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -5981 and 15.12.\nAnswer: -90432.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -2*m**3 - 3*m**2 + m - 2. Is g(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 7 = 2*t, 3*t + 18 = 2*l - 6*l. Is t\/(-4) - (-327)\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 55, 211, 471, 835, 1303?\nAnswer: 1875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + n - 3 = 0, -4*k + n = 14 - 5. Let x be k + 3*5\/3. Solve -4*l + 5*g = -20, 5*l - g = 2*l + x for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, 3\/8, 16, -8.7 in decreasing order.\nAnswer: 16, 3\/8, -7, -8.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00028526502 rounded to 7 dps?\nAnswer: 0.0002853","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*s + 22 = 4*p, 4*s + 22 = 122*p - 120*p for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor o**2\/2 + 17389*o + 302377321\/2.\nAnswer: (o + 17389)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (40\/148)\/5 + (-2 - (19952\/851 + -26)).\nAnswer: 14\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/9 in 5, -4, -2\/7, -2\/123?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 2 i when three letters picked without replacement from {v: 2, i: 5, k: 8}.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0, -28, -1\/684, 9, 4?\nAnswer: -1\/684","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 42 or -4\/4301953?\nAnswer: -4\/4301953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -y**2 - 72 - 24 - 23 + 20*y + 15.\nAnswer: -y**2 + 20*y - 104","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = d**3 - d**2 - d + 2369. Is j(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1769510856?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-22 + 19 - -14) + 2?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -9*v**3 - 7*v**2 - v. Let r be (-1)\/((-6)\/(-54)) + 6\/2. Let h(s) be the first derivative of -2*s**4 - 2*s**3 - s**2\/2 + 1. What is r*g(c) + 7*h(c)?\nAnswer: -2*c**3 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 8  (b) 0.007  (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 13 + -14.3. Let x = j - -1.36. Let u = -0.059 + x. What is u rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 144 and 76920.\nAnswer: 461520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 62408 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 98*k - 82*k - 101086 - 152850 = 0. What is the thousands digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1360*b*n**4 + 273*b*n**2 + 7*b*n - 3410*n**4 + 233*n wrt n?\nAnswer: -32640*b*n - 81840*n","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*s + 53 - 59. Suppose -s*u + 38 = -5*k + 1, -3*k + 45 = 3*u. Is (-150)\/(-4) - (-7)\/u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -j**4 - j - 1. Let s(c) = 15*c**4 - c - 1. Let u(m) = 2*q(m) - s(m). Find the second derivative of u(k) wrt k.\nAnswer: -204*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 347.1307 + -347. What is i rounded to three dps?\nAnswer: 0.131","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 51571191 to the power of 1\/2, to the nearest integer?\nAnswer: 7181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -6*f - 55. Determine h(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000011082487108 to 7 decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 69 and 506.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*((-24)\/(-6) + -6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -90927 + 90929.60001. Let k = -2.6 + a. What is k rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 16 - -18. Let q = -35 + i. Is 59*(-2 - -2 - q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: -15 (base 13) to base 10\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 514 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) be the second derivative of q**10\/720 + q**6\/36 + 2*q**3\/3 - 6*q. Let r(p) be the second derivative of c(p). Find the third derivative of r(s) wrt s.\nAnswer: 840*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 20171?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -280605005 to the nearest 1000000.\nAnswer: -281000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -6*b - 11*b + 3 + 3. Let y(u) = 35*u - 11. Let r(n) = -5*d(n) - 2*y(n). Is r(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) be the second derivative of 0*t**4 + 0*t**5 + 137\/6*t**3 - 1\/2*t**2 + 276*t + 0 + 46\/15*t**6. What is the second derivative of x(f) wrt f?\nAnswer: 1104*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -816 divided by -8\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.2  (b) -18\/17  (c) 15640  (d) 0  (e) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 1260.5448474 to one dp.\nAnswer: 1260.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 7*c**6 + 6*c**5 - 15*c**3 - 82*c**2 - 2?\nAnswer: 840*c**3 + 360*c**2 - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10*n + 9*n - 20*n to the form u + o*n and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = -2*b + 4*x, 5*x = 3*b + 8. What is the second derivative of -3*d - b*d**5 - d**5 + 6*d**5 wrt d?\nAnswer: 20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:51 AM and 7:12 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = -b + 6, -27 - 6 = -2*l + 5*b. Suppose -4*v = -h + 6*h - 19, -4*h - l = v. Solve -5*p - v = -4*o - 26, -3*o + 2*p = 13 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -1891989793 from -0.3.\nAnswer: 1891989792.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 526510.8t?\nAnswer: 526510800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 5797 a factor of 1416328837?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 445 minutes before 3:58 AM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6 - 4) + (1 - -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-40)\/(-14)*18\/9855*73.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 244 minutes after 9:16 AM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mnnlnhi. Give prob of picking 1 i and 1 n.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 9928 + -9925. Factor 6\/5*o**2 + 0 - 3\/5*o**a - 3\/5*o.\nAnswer: -3*o*(o - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2007 and 2975043?\nAnswer: 669","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y + 6*y = -0*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*t**3 + 2*t**3 - 2*t**3)*(-8 + t - 44*t + 37).\nAnswer: 172*t**4 - 116*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -16 in -2, 1\/5, 3, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 20*i + 5*i - 16025. Suppose 0 = 31*x - i + 114. Solve 0 = 4*h + 5 - x for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + 3 + (sqrt(567)*2)**2 + -1 + -1*(-3 + (sqrt(7) - (sqrt(7) - (2*sqrt(84))\/sqrt(12)))) + 5.\nAnswer: -2*sqrt(7) + 2280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2492 - -5810. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (96\/(-52) - -2 - 42944\/3328) + 14\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 3*k = -4*k + 1, 31 = d - 5*k. Find the first derivative of -22 + d + l**3 + 2*l**3 wrt l.\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*f**2 - 56223904*f + 18741300 = 0.\nAnswer: 1\/3, 4685325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 27\/6 - 200\/80. Factor -1\/4*h**5 + 3\/4*h**4 + 0*h**k - 1\/2*h**3 + 0*h + 0.\nAnswer: -h**3*(h - 2)*(h - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2106\/(-1755))\/(6\/70)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 2*c = 0. Suppose 5*q - 30 - 20 = c. Suppose -2*a + 0 = -q. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 4*d + 23. What is s(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - -8) + -2 + -4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1.13 - -1.2. Let a = 0.85 + -0.48. Let p = a - m. Put 2\/13, -4, p in descending order.\nAnswer: p, 2\/13, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8\/18*(4788\/32)\/(-57)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 147 a factor of 166551?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 556 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.069*296736.\nAnswer: 20474.784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 32016 divided by -232\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1003, -2030, -3083, -4174, -5315?\nAnswer: -6518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) be the first derivative of -23*m**2 + 151*m + 69. Is g(-18) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 12*y - 78. Let b be k(5). Let c = 16 + b. What is the second smallest value in 78\/11, c, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-59 + 74 - 244)*(2*g - 2*g + 2*g) + (-3 + 3 + 2)*(3 - 3 + g + 4).\nAnswer: -456*g + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -77*x**3 - 51*x**2 + 7. Let y(s) = 19*s**3 + 13*s**2 - 2. Let q(h) = 2*b(h) + 9*y(h). Let n(o) = -8*o**3 - 7*o**2 + 2. What is 13*n(d) + 6*q(d)?\nAnswer: -2*d**3 - d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -1 + 2 + (1 - (-13 - -7))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 268 is divided by 20.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3 and (-2)\/(-2) - (0 - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10012100210 + 2?\nAnswer: 10012100212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 202365 and 7560?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z**4\/3 + 15430*z**3\/3 + 25728*z**2 + 123512*z\/3 + 61760\/3 = 0 for z.\nAnswer: -2, -1, 7720","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) be the second derivative of j**7\/42 + 2*j**6\/15 + j**5\/4 + j**4\/6 + 30*j. Factor x(c).\nAnswer: c**2*(c + 1)**2*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 take away 1.30477219779495?\nAnswer: 4.69522780220505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1312 (base 5) to base 6.\nAnswer: -543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ppnppnnpnn. What is prob of sequence pp?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*o**2 + 3 + 15*o**2 - 6 + 2 in the form a*o**2 + t + v*o and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -z**2 - 680*z - 30348. Determine j(-48).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1228349 and 46242.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_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: Let x(z) = 13*z - 237. Let o be x(20). Solve -5 + 51 = o*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 2*c + 7. Let x(g) = -g**3 - 6*g**2 - 8*g + 3. Let a be x(-3). Determine l(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 + -341085?\nAnswer: -341084.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/4 in 13\/5, 43, 1.5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -31*a - 17*a + 240 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*m**3 - m**3 + 6*m**2 - 442 - 4*m**3.\nAnswer: m**3 + 6*m**2 - 442","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 2*d**2 - 40*d - 48. Let w be k(20). Let n be ((-6)\/w)\/(1\/2 + -1). Which is the closest to -1?  (a) n  (b) -2  (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 10 + -4. Suppose -x*c + 3*c + 2*f + 21 = 0, 0 = 4*f + 12. Suppose -2*t - 3 = -3*t, -c*t = -y + 278. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 48 - 51. Let s be 2\/(30\/r) + (-6)\/(-5). Is 1\/105 bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -5*v**3 - 127000*v**2 + 7*v - 37597260?\nAnswer: -15*v**2 - 254000*v + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -2*g. Let h(q) = 2*q. Let p(a) = -5*h(a) - 4*t(a). Let z(w) = w. What is p(z(r))?\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 3*d + 10 = 0. Suppose 0 = 5*a - 3*s - 37, s - 24 = -4*a + 2*s. Put d, -7, a in decreasing order.\nAnswer: a, d, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u + 911 = 2*u - 3*r, -u - r + 448 = 0. Suppose z = -3*y - 12 + u, 0 = 2*y + 3*z - 302. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(2448))**2*-2.\nAnswer: -4898 + 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 43\/3 of a week in hours?\nAnswer: 2408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 51780?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -134*s**2 - 19*s - 63. Let o(k) = -10*k**2. Calculate d(o(j)).\nAnswer: -13400*j**4 + 190*j**2 - 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 93 and 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 168, 0, 4, -21, 571 in increasing order.\nAnswer: -21, -4, 0, 4, 168, 571","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 82653778, 165307558, 247961340, 330615124, 413268910, 495922698?\n\"Answer: j**2 + 82653777*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = -4*v + 7, g = -2*v - 4*g + 9. Suppose -v = -p + 5. What are the prime factors of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 39*k - 383. Determine n(9).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = 2*i + 66, -5*p - i - 56 - 47 = 0. What is the units digit of 126\/4 - (-10)\/p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1134 divided by -20?\nAnswer: 567\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2270 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*m - 25 = -9*m - a, 4*m - 9 = -5*a. Let f = -3 + 7. What is the nearest to m in -1, f, 2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 379 = -0*a. Let g = 672 - a. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1970*k = -2089*k - 3094 for k.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 64 + -6. List the prime factors of v.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = -15 + 7. Let s(u) = -12*u - 5. What is the tens digit of s(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5 + -6. Let k(x) = -15*x + 1. Let i be k(o). What is the highest common factor of 80 and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 480*j**2 - 18*j - 70. What is the tens digit of a(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 4*d**2 - 1. Suppose -2*z + 5*z = 18. Suppose 20 = -k + z*k. Suppose -5*i = p, -p = -i + k*p - 26. What is q(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8792 a multiple of 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -28\/3, 5, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = x**2 - x + 11. Let a be g(0). Suppose d = a - 4. Let i be (4\/d)\/(10\/70). Solve i*y + 3*k = -17, 2*k = 5*y + k + 7 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -z**2 - 9*z - 8. Let v be b(-8). Suppose v = -3*u - 11424 - 924. Is (-2)\/13 + u\/(-52) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) be the second derivative of -114*b - 1\/3*b**3 + 0 + 0*b**2. Let x(q) = 4*q. Determine v(x(m)).\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 4903368247 to the power of 1\/2, to the nearest integer?\nAnswer: 70024","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -29, -64, -125, -212, -325, -464, -629?\nAnswer: -820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23759079 = -5*h + 4*i - 2390913, -2*h - i - 10460002 = 0. What is h rounded to the nearest one hundred thousand?\nAnswer: -5200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*y**3 + y**3 + 3*y**3)*(1 + 1 + 0) + (1 - 1 - y**2)*(y - 2*y + 3*y) + 260*y**2 + 37*y**3 - 260*y**2.\nAnswer: 31*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -2*h. Let n be 3 - 0*4\/12. Suppose 9*g = -n - 6. Let a(u) = u. Calculate g*m(p) + 2*a(p).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 5*(3*-1 + 2). Suppose 5*m = m - 4*n - 28, -m - 3*n = 17. Sort m, h, 5 in descending order.\nAnswer: 5, m, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 * 27.03\nAnswer: -8.109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 978*v + 99 = 989*v. Solve 0 = -22*z - v*z + 186 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 13 + 11103?\nAnswer: 11121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - 60 = h. Suppose -2*u - u + a = -56, -u - 5*a - 8 = 0. Let o = u + h. Is o less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*b = 11*b - 125. Let k = -15 + b. Suppose -4*f + 38 - k = 0. What is the remainder when f is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) be the first derivative of 0*l**5 + 0*l**2 + 0*l + 0*l**4 - l**3 + 0*l**6 + 1 - 1\/7*l**7. Find the third derivative of i(j) wrt j.\nAnswer: -120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -2 + (28\/12 - 1). What is the biggest value in -0.4, 0.2, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -16610 + 16804. Calculate the highest common divisor of k and 21728.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*o + 0*o + o)*(-4 + 6 - 2*o + o)*(-1 + 3 + 0).\nAnswer: 2*o**2 - 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.323 and -3?\nAnswer: 0.969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 68511, 273813, 615915, 1094817, 1710519?\n\"Answer: 68400*s**2 + 102*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 20593, -20, 5 in decreasing order.\nAnswer: 20593, 5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*w - 2*w - 3*w.\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 749 = -5*j + 15, -3*j - 444 = 3*o. Let z = j + 145. Put 0, -1\/5, z in decreasing order.\nAnswer: 0, -1\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*o**2*x**2 + 6030*o**2 - o*x - 722*x**2 wrt x?\nAnswer: -6*o**2 - 1444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1*2 + (-42)\/18. Let h(l) = -l**3 + 4*l**2 + 8*l - 13. Let j be h(5). Sort j, 5, s in decreasing order.\nAnswer: 5, j, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -762*j - 5339. What is l(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = h. Suppose 0 = -n + 1 - 14. Let p(b) = -15*b**2 + 13. Let m(k) = -7*k**2 + 6. Let l(v) = n*m(v) + 6*p(v). Give u(l(g)).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -n**3 - 7*n**2 - 4*n + 6. Let m be o(-5). Let t = m - -29. Solve a = -2*l - t, 2*a + 0*l + 10 = -2*l for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, 2\/3, 1241, 0.11 in decreasing order.\nAnswer: 1241, 2\/3, 0.5, 0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -8.99, -1\/32, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + ((-1)\/3 - (-25 - -25))*24?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) be the second derivative of -5*g**4\/6 - 77*g. Let o(j) = 0*j**2 + 6*j**2 - 3*j**2. Determine o(v(q)).\nAnswer: 300*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*v**2 - 3*v**2 - 3*v**2 + v to the form t*v + r + j*v**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.001785 meters in micrometers?\nAnswer: 4001785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 6a (base 12) to base 16\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 63 + -38. Let l = -25 + v. Let o(z) = z**2 - z**3 - 2 + 3*z**2 + z + l - 3*z. Calculate o(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31 a factor of 20 + 26028 + (-14 - -37)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000354802 to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1  (b) 2.04  (c) 1.4  (d) -0.5  (e) -0.0158\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -13 + 12.7. Let a = -14 + 8. What is the third smallest value in h, a, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 2*f = 99, f - 54 = -4*t + 78. Let l be 5\/15 + t\/9. Suppose l*q - 59 = -3. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 99.2 + -17.2. Let q = b + -145. Let r = q + 63. Which is greater: r or -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in fourty-two fifths of a millimeter?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:06 PM and 5:18 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.04*-115.2.\nAnswer: -4.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = l - 1. Let x(s) = 3. Calculate 3*q(w) + x(w).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6232 by 38.\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -214920 or -214919?\nAnswer: -214919","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 9 + 10 = 0, l + 58 = 3*m. Suppose 16 = -4*k, -m*f = -16*f + 5*k - 1. Solve 0 = 4*j - f*j - 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*s - 6*s + d - 19 = 0, 6 = s - 2*d. Solve 14*c + 20 = s*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*l + 11*l + 8*l - 34*l.\nAnswer: -15*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 3002083 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1119*i - 2 + 2182*i**4 + 541*i + i**5 - 1641*i**4 wrt i.\nAnswer: 20*i**3 + 6492*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 14*d - 10*d + 222 - 25*d**3 + 26*d**3. What is the units digit of i(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -749*f + 11466 = -187*f + 257*f for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bvv when three letters picked without replacement from bhvoovhvbvvvhvvo?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 163 = -332. Suppose f + 1 = 2*o + 6, -3*o = -f + 8. Let r be (-33 + (-6 - o))*(-1)\/4. Calculate the greatest common factor of v and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -p**3 - 18*p**2 - 16*p - 10. Calculate w(-17).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:57 PM and 6:55 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 219 and 1387?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (h - 4*h + 0*h)*(0*h + 0*h - h - 4*h - 11*h + 6*h + (3 - 1 + 0)*(-1 + h + 1) - 2*h - h + 4*h).\nAnswer: 21*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/7*29*1869\/580725.\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 3, 9073.\nAnswer: -4, 3, 9073","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) be the first derivative of 5*l**3\/3 - 7*l**2\/2 + 17. Let u be n(5). Let i = u - 19. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -16 in 1, -3, -15, 3, 75?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -201 = 73*g + 164 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 143 a factor of 2102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 666 = 3*x + w - 923, 5*x - 3*w - 2625 = 0. Suppose 82*t - x = 76*t. What is the highest common factor of 11 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*j + 0*j - 2*j)*(12 - 11 + 11)*(2*j - 4*j + 4*j).\nAnswer: -48*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2155225 is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 20 and 11060.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -94*n - 95*n + 756 = -231*n for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 101\/5 - 21. What is the nearest to -3 in -5, -3\/4, c?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 4*c + 4. Let g(a) = -a - 1. Calculate 6*g(k) + 2*j(k).\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - v - 3*i = 18525, -i + 30905 = 5*v. Is 25 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(34)\/sqrt(2)*-4)**2 + (-2*sqrt(187))\/sqrt(11).\nAnswer: -2*sqrt(17) + 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pgjpddpjddgpdddfgdp. Give prob of sequence dp.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide -28749108 by 2703.\nAnswer: -10636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1211 - 1220. What is the nearest to -1 in 2\/7, i, -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8691702049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 5, 2, -2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -393*a**2. Let y(v) = -2*v. Give u(y(p)).\nAnswer: -1572*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(1\/6)\/((o**(-7)*o)\/o))\/(o**7*o*o\/o**(-1)) assuming o is positive.\nAnswer: o**(-17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (153988*s**4 - 76090*s**4 - 77008*s**4)*((1 + 4 - 6)*(-1 + 2 + 1) + 1 - 1 - 1 - 5 + 0 + 6) to y*s + a*s**4 + d + w*s**2 + t*s**3 and give a.\nAnswer: -1780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -x - 12. Let v be p(-14). Solve v*m - 1 = m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, -4, 2 in descending order.\nAnswer: 2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 66\/(-396)*2\/13*6?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1\/31, -25, -1\/3, 0, 0.4, 4, -43?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Let c = 8 - 4. Suppose c*a - 26 + 10 = 0. Find the second derivative of -p**2 + a*p**2 - 2*p**2 - p wrt p.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -3*o - 40. Calculate h(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -78*a**3*p**2 - 55727*a**3 - 40*a**2*p**2 + 12637*a**2 + 8*a*p**2 wrt a?\nAnswer: -468*p**2 - 334362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 412 divided by -1?\nAnswer: -412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -222220 to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 458670 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 176 and 8992.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) be the second derivative of -4*o**3\/3 - 3*o**2\/2 + 4*o. Let w be l(-4). List the prime factors of -3*3\/(-9) + w.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2 + 302132023?\nAnswer: 302132031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -648930 + 649050. Suppose 80\/3*s + 135*s**3 + 0 + n*s**2 = 0. Calculate s.\nAnswer: -4\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 3*s**3 + 37*s**2 - 23*s + 15. Let x be g(-12). Calculate the highest common factor of 135 and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 33984 and 177.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*k - 4*k - 3 = 0. Let v(y) = 7. Let z(n) = -8. Let p(i) = -7*v(i) - 6*z(i). Suppose q + 29 = 25. Let t(b) = b - 3. Determine k*t(u) + q*p(u).\nAnswer: u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 1, f: 1, c: 2}. What is prob of sequence jfc?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 104673?\nAnswer: 3, 23, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, k: 1, h: 2, j: 1, r: 2, g: 1}. What is prob of sequence rr?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 10 = 0, 8*k - 4*o = 3*k - 210. Let p = 969 + k. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = q**3 + 9*q**2 + 7*q - 10. Let g be s(-8). Let z be 5\/(1\/g*-2). What is the second derivative of z*a + a**4 - 3*a**4 - 7*a wrt a?\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 168*(-12)\/8*(-250)\/(-675)*(-12)\/20?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 372 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1282990?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a + 70 = -38. Let z be (-3*(-8)\/(-36))\/(6\/a). Solve 4*l - 21 = 3*x, z*l - 5*x - 42 = -18 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 696\/116*((-2)\/(-6))\/(3\/(-6))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:53 AM and 5:04 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*j*z**2 - 12745*j*z - j - 2*z**2 - 39330 wrt z.\nAnswer: -4*j*z - 12745*j - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -2*k**2. Let v(f) = -1413*f + 1171 - 609*f - 1171. Give i(v(z)).\nAnswer: -8176968*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1 + 4. Let n = 4 + -1. Let w be (-1)\/4 - 66\/(-8). Solve -x*h + n = w for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9714353 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -523 + 1249. Let y = 1046 - r. Calculate the highest common factor of y and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -0.2, -1, 4, -3, 2\/23?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 - ((-6612)\/12)\/(-29)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is s in -3*s**2\/7 - 33*s\/7 - 54\/7 = 0?\nAnswer: -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 754 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-72 + -15 - -86) + -1 + (-16 - -1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 91909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4089488?\nAnswer: 2, 13, 19661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 360*p + 2888. What is n(-6)?\nAnswer: 728","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*r = r + 5. Suppose 3*u - 13 = -r. Suppose 4*h - u = 2*h - 5*q, -5*h - q = -10. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = 4*b - 3, 0*r - b + 4 = -4*r. Let k be (-3 - -87) + r - -3. Suppose -4*p = d - k, 5*d + 2*p + 98 = 6*d. Does 30 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 29\/5 of a meter in centimeters?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 390.746 litres?\nAnswer: 390746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -0.002*-65\nAnswer: 0.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -7*d**3 - 17*d**2 + 5*d + 17. Suppose -2*u + 7*u = 10. Let k(x) = -x**3 - x**2 + 1. Let j(z) = u*k(z) - y(z). Suppose j(f) = 0. What is f?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) be the second derivative of s**6\/30 + 17*s**5\/5 + 96*s**2 + 5*s - 72. What is the derivative of h(v) wrt v?\nAnswer: 4*v**3 + 204*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -51\/155 and 7\/155.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1681\/9 + -187. What is the closest to 0.6 in m, -2\/13, 4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11.9066+-33\nAnswer: -44.9066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 31 + -3. Let g(u) = u**3 - 17*u**2 - 117*u - 35. Let k be g(23). Calculate the greatest common divisor of k and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1804?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/54, -2\/15, -3, 1\/92 in descending order.\nAnswer: 1\/54, 1\/92, -2\/15, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -13*w - 5. Let x be l(4). Let v = 20 - x. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1954300*t**2 - t + 122529.\nAnswer: 3908600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 4*a + 34 = 4*k, 0 = 2*a + 2*k + 10. Let m(y) = -2*y**3 - 7*y**2 - 3*y + 1. Is m(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = f**2 - 6*f + 3. Let v be y(6). Suppose -77*u + 82*u - 15 = 0. Suppose 0 = v*q + 15, 0 = -5*d + u*q - q + 215. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -165390, -164041, -162692, -161343?\nAnswer: -159994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -44  (b) -0.02  (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 643511 is divided by 643279.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 134*f - 130*f + 400*f - 136*f - 392*f**2.\nAnswer: -392*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xx when two letters picked without replacement from hhzx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 442952, 442175, 441404, 440639?\nAnswer: 439880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 0.0592*-68726\nAnswer: -4068.5792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 426992 = 3*k + 13*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-62*l - 10 - 9*l - 7*l - 8)*(3 - l - 3 + 2*l - l + 0*l + (4 - 4 - 2)*(-2*l + 4*l + 0*l) - 4*l + 5*l - 2*l).\nAnswer: 390*l**2 + 90*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 4*w + 4 = 0, 0 = 2*c - c + 3*w - 2. Let 0*h + 0 - 1\/2*h**3 + 0*h**c = 0. What is h?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 minutes before 4:55 AM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1000 (base 2) in base 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*o**2\/8 - 28212387*o\/4 - 56424771\/8.\nAnswer: -3*(o + 1)*(o + 18808257)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13616836?\nAnswer: 2, 73, 46633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1350\/(-40) + 3 - (17\/(-12) + 12\/18).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*h + 3*h + 2*x, 2*h - 19 = 5*x. Suppose 5*j = -2*d - 3*d - 15, 0 = d + h*j + 8. Differentiate 0*t**2 - 3 + t**2 - 3*t**d - 2 wrt t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 17 + -3.2. Let g = -12.6 + m. Sort 0.3, g, 1\/6, -2\/19 in increasing order.\nAnswer: -2\/19, 1\/6, 0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 212218?\nAnswer: 2, 106109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 19169.278 from -14248773.\nAnswer: -14267942.278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -i**3 + 8*i**2 + 2*i + 5. Calculate a(8).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 253696680?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 2*w - 12. Let i be o(6). Suppose -8*l + i*l = -16. Factor j - j + j**2 - 5*j**l.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 35\/((-3080)\/(-1776))*23\/((-276)\/(-44))\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 4347920 to the power of 1\/2, to the nearest integer?\nAnswer: 2085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -11*g - 3. Let a(c) = 333*c + 1. Determine b(a(n)).\nAnswer: -3663*n - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 + 17 = 2*h. Solve 0 = -6*s + 2*s + h for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 6\/10 + (-6)\/(-15). Suppose 2*c = 3 + q. Let n(t) = 4*t**2 + c*t**2 + 4*t - 2 - t**2 - 6*t**2. Determine n(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 63*h**2. Let o(b) = -2*b + 3. Let x = -7833 + 7835. Let r(g) = g - 2. Suppose 2*y - 6 = -0. Let z(q) = x*o(q) + y*r(q). Give z(t(u)).\nAnswer: -63*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 100466 is divided by 358?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1142656 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-19)\/(-8) + -2)\/(33\/44). Let p be (5 + -5)\/(1 + 1). Let b = 0.1 - -0.9. Put p, b, t in increasing order.\nAnswer: p, t, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 729535863?\nAnswer: 3, 7, 71, 69899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*f - 73 + 155 - 70 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45 = 4*h + 17. Let z be (13 - h)\/((-1)\/(-3)). What is the highest common divisor of z and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = g**2 - 8*g + 2. Let k be r(8). Suppose k*b - 5*b + 3 = 0. Are -1 and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/4)\/(363\/22 + -15) - 2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bs when two letters picked without replacement from ysssbgyygybbsybyybs?\nAnswer: 25\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ao when two letters picked without replacement from oanaooppnooo?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + sqrt(27) + (sqrt(300) + (2*sqrt(300) - sqrt(300)))**2 - 2*(-2 + sqrt(363))**2.\nAnswer: 91*sqrt(3) + 463","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 144, 604, 1384, 2484, 3904?\n\"Answer: 160*f**2 - 20*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 97630?\nAnswer: 2, 5, 13, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (471\/(-785)*1\/((-126)\/15))\/(-2).\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 2*o = 3*r - 15, -4*o - 21 = -3*r. Let t = 4 + -3. Let a(d) = -1. Let m(g) = 2*g - 2. Give o*a(x) + t*m(x).\nAnswer: 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.294 + 111.706. Let i = -111.95 + c. Sort i, 4, 1\/6, 0.5.\nAnswer: i, 1\/6, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3276709 - -302.72.\nAnswer: -3276406.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 611 minutes after 2:56 AM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 3046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*x - x**2 - 2*x)*(0*x + 2*x - 3*x)*(-55 - 78 + 15*x - 17*x) + (0*x + 3*x - 2*x)*(-4*x**3 + 3*x**3 + 0*x**3).\nAnswer: -3*x**4 - 133*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4456 + 71337\/16. Let a = 3 + -4. Find the common denominator of (-1)\/a*473\/(-66) and o.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46*k = 51*k - 90. Solve 15 = -x + k for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -28 + 49. Is i a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/(-1)*(-20)\/60?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 4*s**2 + 356*s - 267. Let n be u(-95). What is the highest common factor of 528 and n?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 14 in 5, -0.3, -5\/4, 1\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -44.84 minus -5?\nAnswer: -39.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in -42, 0.28091, 2?\nAnswer: 0.28091","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: What is next in -433, -870, -1307?\nAnswer: -1744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.0445, 1\/8, -11\/12, 1\/25, 1?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*s - 360 = 18. Let x be s\/11 - 2\/(-11). Solve -18 = x*z - q, -z + 2*q - 8 = -0*q for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = x**2 - 9*x + 10. Let k be c(8). Suppose u = y - 23, -2*u + u + 37 = k*y. Let s be 1\/5 - 4\/y. Solve 4*q - 6 + 14 = s for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g + 20 = 2*p, 2*p + 20416*g = 20421*g + 25 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 653825033 to the nearest integer?\nAnswer: 868","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1344 + -14782\/11. Which is the fourth biggest value?  (a) m  (b) 4  (c) 19  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 39 - 34. Suppose -2*q + 4*u + 30 = 0, 2*q - 2*u - 19 = 15. What is the remainder when q is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000003134938 rounded to 7 decimal places?\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 4 = 0, -3*b + 0 = 3*f - 12. Suppose 5*v - 41 - 69 = f. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3 and -2787.\nAnswer: 8361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -41, -34, -15, 22, 83, 174, 301?\nAnswer: 470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2320 divided by -464.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 14548592579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o**2\/13 + 3872*o\/13 + 1874048\/13 = 0. What is o?\nAnswer: -968","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) be the first derivative of -851*s**3\/3 + 8878. Let w(l) = -22*l**2. What is t(w(x))?\nAnswer: -411884*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f\/f**(1\/4)*f*(f\/((f**(-2\/21)*f*f)\/f))\/f*f**2*f**(-2\/25) assuming f is positive.\nAnswer: f**(5807\/2100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 7 + 0 + (2 - 2 + 2)*(-4 + 2 + 3))*(-2*y + 1 - 1).\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 2*c**2 - 6*c + 45. Let h(d) = 3*d**2 - 10*d + 90. Calculate 3*h(u) - 5*i(u).\nAnswer: -u**2 + 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 5247 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8\/9*k + 2\/9*k**3 - 8\/9*k**2 + 0 = 0 for k.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 222097 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 17417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 318 minutes before 5:24 AM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -230.09 times -0.15\nAnswer: 34.5135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 839*l**3 - 19*l**2 + 42*l + 5. Is o(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -29c98a + -16?\nAnswer: -29c9a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11 - 257 + 246 - 110*s.\nAnswer: -110*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 2457, 4920, 7347, 9720, 12021?\n\"Answer: -3*d**3 + 2484*d - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 3, v: 1, t: 4, r: 7, z: 1}. Give prob of sequence ttz.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-210)\/70*20\/6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*i + 52*i = -1680 for i.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 86*m**2\/13 + 896*m\/13 + 360\/13 = 0. Calculate m.\nAnswer: -10, -18\/43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 38.26433t to grams.\nAnswer: 38264330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 42969 divided by -6\nAnswer: -14323\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -1844 rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {g: 9, p: 7}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -931.6 + 929.8. Which is the second smallest value?  (a) h  (b) -1\/3  (c) 4  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -11793 - -165203\/14. Find the common denominator of b and 15\/742.\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:17 PM and 3:58 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(500) + (sqrt(500) + -2*sqrt(500))*6 + sqrt(500))**2 - ((sqrt(500) + -3 + sqrt(500) - sqrt(500))*5)**2) + -4.\nAnswer: -4729 + 1500*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:09 AM and 1:53 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w = -3*y + 34, 4*w + 4*y + 23 = 5*y. Which is the closest to 1?  (a) -2\/13  (b) w  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 2, 0 in descending order.\nAnswer: 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -433736*t**4 + 293398*t**2 wrt t.\nAnswer: -10409664*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**0*q)**(-1)*q**(-1\/2)\/((q**(-1\/7)\/q*q)\/q*q) assuming q is positive.\nAnswer: q**(-19\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -10431572 divided by 794?\nAnswer: -13138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.1866273l?\nAnswer: 186.6273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.4 + 0.1. Let d = 19.1 - 20. Let i = d - 4.1. Which is the third biggest value?  (a) m  (b) 3\/5  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 7280 and 812.\nAnswer: 211120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -5080.99694 + 21.902?\nAnswer: -5059.09494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 3 = -1. What is the remainder when (1 - b\/2)*3 is divided by ((-36)\/(-8))\/(63\/42)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*a - 12 + 4. Suppose 25 = 3*v + a*v. Let f(q) = q - q - q + v. Determine f(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -g + g + 4*g - 1 - 5. Determine s(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 657438?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 2933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -13\/140 and 9\/80.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1068 and 267.\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 9 and 37?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -443\/3 - -17813\/120. What is the common denominator of a and 1\/56?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -329748 divided by 33?\nAnswer: -109916\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12 + (13 - (-3 + 9)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 762 and 635.\nAnswer: 3810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 20005\/277542 + -1\/5442. Find the common denominator of -23\/170 and i.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from aaaaaaaaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 3*w**3 - 32*w**2 - 12*w + 204. Does 49 divide x(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -3*j**2 + 10*j + 7. Let u(f) = 40*f**2 - 128*f - 90. What is 3*u(m) + 38*x(m)?\nAnswer: 6*m**2 - 4*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 683 - 1577 = -21*n - 768 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 803713 is divided by 803701.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:54 PM and 1:44 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 0.0354, 5, -153?\nAnswer: 0.0354","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.42 and -0.72042.\nAnswer: -0.3025764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -59 - -112. Calculate the remainder when o is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -r**3 + 21*r**2 - 21*r + 28. Let x be u(20). Determine g, given that 785*g**4 + g**3 - 9*g**3 + 2*g**5 - 787*g**4 + x*g**2 = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 57\/76 - (-1474)\/8 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -2*t**2 - 16*t - 14. Let u be d(-7). Let j(p) = -p - 3. Let h be (3\/1)\/(-1) + -2. Let c be j(h). Solve u = c*r - 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.08 times 2.978\nAnswer: 0.23824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/7?  (a) 3  (b) 6.8  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -26, 0.2, -2, 2, 3\/31 in decreasing order.\nAnswer: 2, 0.2, 3\/31, -2, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 20120 (base 5) in base 7?\nAnswer: 3514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 20 = 3*y, 0 = -2*y + 5*b + 12. Suppose o + 3 = 2*o. Let s be (-8 + 0)*o\/(-6). Put 5, s, y in decreasing order.\nAnswer: 5, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 1 e when two letters picked without replacement from {e: 1, f: 14}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 62722?\nAnswer: 2, 11, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y**(1\/2))\/(y*y*y\/(y\/(((y*y**(-1\/3))\/y)\/y)*y*y)))\/(y**(2\/5)\/y)**(4\/37) assuming y is positive.\nAnswer: y**(3217\/1110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 1 - 1)*(-2*f + 2 - 2)*(-13 - 9 + 8).\nAnswer: 84*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) be the second derivative of f**4\/48 + 7*f**3\/24 - f**2 - 336*f. Factor l(s).\nAnswer: (s - 1)*(s + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -100101100 (base 2) to base 6\nAnswer: -1220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -113 + 141. What is the greatest common factor of l and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/(-10) + 108\/(-15). Let a be 0 - 11 - (10 + d). Let j(v) = -20*v**3 - 14*v**2 - 14. Let s(k) = 7*k**3 + 5*k**2 + 5. What is a*s(r) - 5*j(r)?\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = f**2 + 5*f - 9. Let x = 37 - 44. Let b be m(x). Let i = b - -16. Calculate the greatest common divisor of 168 and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 44 minutes before 8:44 PM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -30144 divided by -96\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:49 PM and 11:04 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -100*g. Let j(z) = -2926*z. Give j(w(h)).\nAnswer: 292600*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 8*a - 11. Let q be p(2). Suppose 0 = 5*u + q*k - 96 - 54, -5*u = -k - 174. List the prime factors of u.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-34)\/52 + (-25)\/(-50). Which is smaller: x or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -b**2 - b - 1. Let r(w) = -9*w**2 + 7*w + 6. Give -6*l(u) - r(u).\nAnswer: 15*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s = -10*s + 16255. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -h**2 - 6*h**2 + 4*h**2 + 2*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -356*z - 32. Let r be h(4). Is -1455 <= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is m in -m**2 + 3090158*m - 6180312 = 0?\nAnswer: 2, 3090156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 10*g**2 + g**3 + 0 + 10*g**2 - 13*g**2 + 6*g + 7. Suppose -6*o + o + 10 = 0. Suppose -o*c + 2 - 14 = 0. Calculate v(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0 - (1 - (3 - 1)). What is the first derivative of -7*g**2 - 2 - j - 2 + 1 wrt g?\nAnswer: -14*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -8*z**2 + 2*z - 75. Let y(h) = -10*h**2 + 3*h - 70. Determine 6*f(p) - 5*y(p).\nAnswer: 2*p**2 - 3*p - 100","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 13*q - 3. What is the remainder when 91 is divided by h(2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = k**2 - k - 3. Let o(y) = -y**3 - 3*y**2 + y + 1. Let g be o(-3). Let z be r(g). Suppose -1 = z*j - 16. Let b(h) = h**2 - 3*h - 5. Give b(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11 = -353*v + 342*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 84*f - 555. Let g(x) = -127*x + 554. Give 2*g(h) + 3*n(h).\nAnswer: -2*h - 557","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -170153, -170326, -170473, -170582, -170641, -170638, -170561?\nAnswer: -170398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 592 and 224?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v = -21 - 49. Suppose 0 = -4*w + q + 54, 0 = -w + 5*w + 4*q - 64. Calculate the greatest common divisor of w and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 15\/25 - 922\/20 and (-902)\/432 - 225\/600.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 3*h**2 + 2*h - 2. Calculate t(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -288 = j - 5*j. Suppose 4*s + l = -17, -5*s + 10*s = -4*l - 24. Let o = s - -12. What is the greatest common divisor of o and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -387, -763, -1139, -1515?\nAnswer: -1891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-384)\/40)\/8*188\/987*45\/24?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 1\/10 of a day?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = 2*n - 7*n + 73, -4*c + 161 = -5*n. Let p = -70 + 180. Calculate the remainder when p is divided by c.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12299609 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6154027?\nAnswer: 11, 31, 18047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) be the second derivative of 93*d**5\/20 - 785*d**4\/12 - 927*d. What is the third derivative of m(y) wrt y?\nAnswer: 558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -2, 13, -1, -3, 5, 69918 in decreasing order.\nAnswer: 69918, 13, 5, 0, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 19661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand h**2 - 2*h**2 + 2*h**2 + (5 - 1 - 1)*(-2*h**2 + 0*h**2 + 4*h**2) + (-2*h - 2*h + 7*h)*(-2*h - 2*h + 5*h).\nAnswer: 10*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 103\/124 and 109\/14376.\nAnswer: 445656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5\/4, -18, -0.16, 0.11, 3, -3\/8.\nAnswer: -18, -3\/8, -0.16, 0.11, 5\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that 7*m**2\/3 + 29*m = 0.\nAnswer: -87\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 78699 is divided by 1139.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -38*k*w**2 - 302*k*w - 5*k - 322364*w**2 with respect to k.\nAnswer: -38*w**2 - 302*w - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 317 minutes after 9:54 AM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 = -2*k + 26. Let j be 0\/((-3 - k)\/(46\/23)). Solve 3*r - 6*r - 12 = j for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1607?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rsr when three letters picked without replacement from sssrrsssssss.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 232, -43\/3, 0, -1\/3, -5 in increasing order.\nAnswer: -43\/3, -5, -1\/3, 0, 232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from arar. Give prob of sequence rr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2001.5151 + 2002. Let u = n + -0.49. What is u rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1133112 (base 4) to base 5.\nAnswer: -143402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b**(2\/9)\/b)**(-7)*((b**(2\/13)*b)\/b)\/(b*b\/b**(-5\/2)) assuming b is positive.\nAnswer: b**(-1381\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3913 and 0.066502.\nAnswer: 260.222326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*h**3 + 7*h**2 - 1151506 - 43*h + 1151506.\nAnswer: 2*h**3 + 7*h**2 - 43*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*m - 1569 = -69*m + 5883. What is the highest common factor of 28350 and m?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -4*c**2 + c**3 - c**2 + 1 + 3*c - 3*c**3. What is the units digit of k(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + sqrt(26)\/((sqrt(2) - (sqrt(2) - sqrt(14)\/sqrt(7)))*2).\nAnswer: -3 + sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 3a - -7?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-4)\/(-14) + (-2)\/7. Suppose 20*c - 23 = 19*c. Suppose p + c = u. What is the greatest common divisor of u and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -128 and -5?\nAnswer: 640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 101\/276 and ((-4)\/16)\/(3717\/(-414) + 9).\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 44 - -7c?\nAnswer: c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 20 + 6)*(6*p**2 - 6*p**2 + 2*p**3).\nAnswer: 46*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.3 + 0. Let j = -4.78 + -0.22. Which is the biggest value?  (a) -4  (b) j  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r**(-1)*r)\/r)\/r*r**(1\/33)*r*r**(-39)*r**0)**(-7) assuming r is positive.\nAnswer: r**(9233\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 1\/37985478 and -53\/1674.\nAnswer: 341869302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*x**3\/2 - 76*x**2 + 205*x\/2 - 29 = 0. What is x?\nAnswer: 2\/5, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put together -2947 and 393.65.\nAnswer: -2553.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 461*t**3 + 1 - 463*t**3 - 1.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -9617.49182 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 37\/5 of a hour?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1169 is divided by 376.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -h**2 + 11*h + 83. Let w be z(-5). Let r(x) = -2*x**3 + x**2. Let m be r(-1). Solve 5*k + 5 = -m*q, w*k + 5*q + 3 + 0 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -47373 = -j - 2*t - t - 47354, -3*j + 5*t = -1 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q = -12 + 57. Suppose 0 = 3*d - q. Suppose 5*r = 0, -3*r = d*w + 1 + 32. Which is bigger: w or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1483767521 times 0.2?\nAnswer: -296753504.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -17*y**3 - 6*y**2 + 11*y + 11. Let f(z) = -z**3 - 8*z**2 - 9*z - 19. Let r be f(-7). Is m(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52 = -3*o + 4*b, 0*o = -5*o - 43823*b + 43820*b - 106 for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 204132 (base 5) to base 12\nAnswer: 3b20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f**2\/8 - 22641*f\/8 + 5661\/2 = 0. What is f?\nAnswer: -7548, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 15\/4 of a kilogram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -67 (base 15) to base 12\nAnswer: -81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3298 and 2006833?\nAnswer: 1649","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 47 = -3*d, -f + 2*d - 14 = 27. Suppose -2*h + 2*l = 4*l - 134, -h + 4*l = -52. Let v = f + h. What is the remainder when 162 is divided by v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 75928753?\nAnswer: 769, 98737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -226 + 79 - 4*a - 161 + 34.\nAnswer: -4*a - 274","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = -4, -57*j - 3*k = -60*j + 15. Let a(o) = 34*o - 235. What is a(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*w - 20 = 3*j, -322436 = -2*j + 4*w - 322448 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 2*s + s. Suppose 110 = s*o + 2*o. Calculate the remainder when 1 is divided by 27\/33 + 4\/o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 270 minutes before 8:21 PM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve k = -2*b + 7, 5*b = -3*k - k + 19 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 4\/5  (b) 4  (c) 23\/3  (d) -3\/32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6 less than -0.0086?\nAnswer: -0.6086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*a - 4*g, -2*a = -8*a - 2*g - 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 687 minutes after 3:06 AM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3053*u - 785*u - 95668 = -15070 for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 647 + -642. Solve 5*t + 2*f = -3*f - z, 3*t = 4*f + 18 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-3)\/w)\/w**(5\/4)*w*w*w**(-1\/3)*w*w*w**(-2)*((w**2\/w)\/(w*w**1))**(-6) assuming w is positive.\nAnswer: w**(29\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -161 + 176 = 3*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -1161637 bigger than -1161639?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*x + 16 = -4*x. Suppose -5*n = -s + 2, -x*n + 3 - 19 = 4*s. Let z be -1 + n + 1 + 0. Which is greater: z or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 946924394 a multiple of 2014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 78 a factor of 2293772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 35*u + 4 - 54*u - 111*u as z*u + j and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u**(-5))\/u**(-2\/15))**(4\/5) assuming u is positive.\nAnswer: u**(-232\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -556 + 816. Let y = 262 - w. What is the smallest common multiple of y and (18\/(-4))\/(2\/(-16))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6436 = -13*p + 20827. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 14\/9 of a hour?\nAnswer: 5600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) 0.4  (b) -2\/9  (c) 0.1  (d) 1\/47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q\/q**(-1\/3)*q*q)\/q*q*q*q**(-2)\/q)\/((q\/q**(-3))\/q**6))\/((q\/q**(-2\/7))**(-5\/8))**(-2\/101) assuming q is positive.\nAnswer: q**(28145\/8484)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 3  (b) 2  (c) 3\/4  (d) 49.1  (e) -1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-139)\/973)\/((-4)\/1).\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 991975 and 198395.\nAnswer: 991975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-31)\/(-11) + 16\/88. Suppose w*a + 7*a = 2*a. Solve b = -a*b + 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -62\/7 in -0.7, -17, -1\/5, 307?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + s - 41 = -3*j, -4*j - s + 33 = 0. What is the least common multiple of 6 and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.671 in -0.18, -0.1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6241 and 237?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 13471 divide 1953242650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 69 - 75. Let b = 3 + s. Let u(h) = h**3 + 3*h**2 - 4. Determine u(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4 + 0*r**3 + 17 - 5 + 2*r**3 to the form m*r**2 + d*r**3 + o*r + h and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 0  (b) -3\/7  (c) 9  (d) 1  (e) -3691\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) be the first derivative of -l**2\/2 - 12*l + 3. What is t(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 39\/9 - (-210)\/(-90). Suppose -470 = -4*m - 2*n, -11*m = -7*m - j*n - 466. List the prime factors of m.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -g**3 - 5*g**2 - 4*g + 5. Let j be q(-4). Suppose -5*x + 94 = 4*c - 0*c, 5*c = j*x + 95. List the prime factors of c.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*u**2 + 7*u**2 - u - 16*u**2 + 2*u**3 in the form z + v*u**2 + w*u**3 + q*u and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(180)\/(sqrt(96)\/(sqrt(16)\/sqrt(2)) + sqrt(12)))\/((1*sqrt(33))\/sqrt(11) + sqrt(27)\/(-2*sqrt(9))))**2.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*t**2 + t**2 + 5*t**2)*(-227 + 123 + 133) to s*t**2 + p + c*t and give s.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {a: 5, w: 4, v: 10}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3689 and 27404.\nAnswer: 191828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 12 + -12.3. Which is the nearest to 1?  (a) 2\/13  (b) 5\/4  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1183071489 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 10011011011111111011 (base 2) to base 12\nAnswer: 26870b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 214 (base 10) to base 7.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -87496.245 rounded to the nearest ten?\nAnswer: -87500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 - 2 = 2*v. Which is the nearest to -1?  (a) 0.4  (b) 0.5  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 59248, 59042, 58826, 58594, 58340?\nAnswer: 58058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 7\/2 of a meter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 7*f**3 - 25*f**2 - 3 - 2 - 5*f**3 - 5*f + 25*f**2. Let l(s) = 2*s**3 - 4*s - 4. What is 5*l(r) - 4*t(r)?\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) be the first derivative of 5*f**4\/4 + 10*f**3 - 335*f**2\/2 + 300*f + 540. Suppose h(i) = 0. What is i?\nAnswer: -12, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 684159559?\nAnswer: 1451, 471509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1092 and 5.\nAnswer: 5460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dddddskkkdkddkk. Give prob of picking 1 d, 1 s, and 1 k.\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) be the first derivative of 8*p**3\/3 + p**2\/2 + 4*p + 4. What is the tens digit of o(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f**5 + 30*f**4 + 66*f**3 - 96*f**2 - 285*f - 150 = 0. What is f?\nAnswer: -5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14 - 7 + 5 = 4*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 130136 (base 7) to base 4\nAnswer: 11320112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 4, l: 5, f: 1}. Give prob of sequence plfl.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 698197636 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 4*j = -0*d - 2, -d + 5*j - 4 = 0. Let v(l) = 40*l - 37. Calculate the remainder when v(1) is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 532, 506, 482, 460, 440, 422, 406?\n\"Answer: l**2 - 29*l + 560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5*p + 0*p + 3*p)*(9 - 9 + 43*p**2) in the form j*p + t*p**2 + k + i*p**3 and give i.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) be the first derivative of -5*x**2\/2 - 14. Let i(o) = -4*o - 13. Let k = -3 + 9. Let u(g) = -2*g - 6. Let j(c) = k*i(c) - 13*u(c). What is j(p(s))?\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = -y + 539 + 544, 3*y = -5*m - 5431. Let j = -195 - m. What is j rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0, 6, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -4, 4, 0, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (7 - 816\/114) + 37926\/(-8170).\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 838368 and 656?\nAnswer: 838368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (2 + -1)\/(1 + 0). Let r(f) = 6*f**3 + f - 1. Let u be r(g). Let z(c) = -2*c - 2*c - 1 + u*c. Give z(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 2, n: 1, m: 3, d: 2, k: 6}. What is prob of picking 1 d and 1 k?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = o**2 - 20*o + 20. Let x be t(21). Let b = -39 + x. Suppose 5*u - 3 - 2 = b*v, -u + 3*v - 12 = 0. Solve -u*n = -8*n + 15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d + d - 3 = 0. Suppose h = j - 7, d*h + h + 10 = -5*j. Suppose -j*m = -m - 89. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 547 minutes after 10:09 AM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 171 divide 15049095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -c927 (base 14) to base 4\nAnswer: -20132213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 2*a. Let o = 2361 + -2361. Let f(y) be the first derivative of -3 - 13\/3*y**3 + 0*y**2 + o*y. Give z(f(k)).\nAnswer: -26*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 16528 and 20660?\nAnswer: 82640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 5318*l**2 - 15*l + 2. Let g be x(6). Suppose g = -3*v + 593360. What is v rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -1*(1 + (-4 - -3)). Suppose b = 3*o - 8*o + 80. Is 3 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 1, q: 1, k: 1, c: 1, v: 1}. What is prob of sequence rcqv?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*b + 4*h - 0 - 20, 3*h = 6. Suppose -2*f + d + 29 = -0*f, 3*d = -b*f + 21. Suppose -3*c = r - f, -3*r - 3*c + 15 = -r. Solve 2*m = -m + r for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 62b3a (base 12) to base 16\nAnswer: 1f9de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -97 - -187. Suppose -q + 6*q - d = 0. Calculate the remainder when 34 is divided by q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = 104*i**2 + 25*i + 50. Does 26 divide b(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 8.64 in 4\/41, -0.1, 0, -4, 1\/15, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from ppppapapappapppppppa?\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m*(m\/(m**(-21)*m)*m)\/m*(m*m**(-7)\/m)\/m assuming m is positive.\nAnswer: m**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 463*v**2 - 2*v + 2*v + 41*v**5 + 10*v**3 - 52*v**5 + 14*v**5 wrt v?\nAnswer: 180*v**2 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*o + 79 + 84 - 2*o**2 - 161 to the form h*o + x + b*o**2 and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 128*h - h**3 - 128*h.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*x**4\/3 - 88*x**3\/3 - 536*x**2\/3 + 160*x\/3 = 0. What is x?\nAnswer: -4, 0, 2\/7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 116817514 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(154)\/(-3*sqrt(11))*4)\/(1*sqrt(200) + (sqrt(32) + sqrt(2) + sqrt(2))*2).\nAnswer: -2*sqrt(7)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -6258*k**2. Let v(r) = -8889*r. Calculate v(f(j)).\nAnswer: 55627362*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (sqrt(5)*2)**2 + -2 + sqrt(5) - (sqrt(5)*-2*-5 + sqrt(15)\/sqrt(48)))*-1.\nAnswer: -20 + 37*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) be the third derivative of t**6\/4 - t**5\/3 + 7*t**2 + 1. What is the third derivative of j(l) wrt l?\nAnswer: 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 214, 8540, 16866, 25192, 33518?\n\"Answer: 8326*f - 8112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/h**(-3\/4))\/h*h**(-3\/20) assuming h is positive.\nAnswer: h**(3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2325957 is divided by 497?\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 754\/(-208)*2*4?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (36 - -3)\/(-1 - 0). Let p be (-1)\/(-2) + g\/(-2). Let x be (-22)\/p - 3\/(-2). Which is the nearest to -1?  (a) -0.1  (b) x  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 17 - -211. What are the prime factors of b?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -435177*-0.31\nAnswer: 134904.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 24, -8, -2, -14, 3 in ascending order.\nAnswer: -14, -8, -2, 3, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -99 - -109. Let t be -2 + (-48)\/(-20) - (-143166)\/k. Suppose -5*r - 20960 = 5*u, -3*r + 2*u - t = -1751. Round r to the nearest one hundred.\nAnswer: -4200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 57 and 4815?\nAnswer: 91485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 2*g**2 + 22*g - 19. Let n be s(-12). Sort n, -1, -4 in decreasing order.\nAnswer: n, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 44.9 - 45. What is the biggest value in l, -2\/11, 5\/3, -1?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*p + 0 + 0 + (-9 + 10 + 12)*(2*p - 4*p + p) + 22*p + 4*p - p + (-p - 2*p + 4*p)*(-1 - 2 + 2) - 2*p + 2*p + 2*p.\nAnswer: 18*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 269 is divided by 235.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 13 = 5*s, -s - 30 = -4*o + 43. Let d(h) = 2*h**2 + 1. Let a be d(1). Solve -2*g + 2*r = -o, 0*r - 37 = -5*g + a*r for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 16 + -55?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -34016083 and 20.28?\nAnswer: 34016103.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -30 divided by 22868603?\nAnswer: -30\/22868603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 223617?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1680 + 5025 + 0*a - 1680 - 2*a - 1680.\nAnswer: -2*a - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((1*sqrt(882) - sqrt(882) - sqrt(882))*-5)\/(-1*sqrt(18)\/sqrt(2)*-1))**2.\nAnswer: 2450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vs when two letters picked without replacement from {v: 1, s: 4, c: 1, m: 5}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 9) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -334 + 381. Solve 9*y - u + 11 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the third derivative of -1\/70*x**7 + 0*x + 0*x**3 + 3*x**2 + 1\/40*x**6 - 1\/60*x**5 + 0*x**4 + 0 + 1\/336*x**8. Let y(m) = 0. Calculate m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 2\/11, 24\/5, -21, 4, 4\/307?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3343, -13380, -30107, -53524, -83631?\nAnswer: -120428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 3132\/(-5307)*4575\/(-150)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 9*u**2 - 6*u - 6. Let b(l) = 44*l**2 - 32*l - 32. Let x(g) = 3*b(g) - 16*h(g). Let r(o) = -o. Determine r(x(p)).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*z**4 + 0*z**4 + 4*z**4)*(2 - 15 + 2)*(-3 + 2 - 4)*(2 - 4 - 2) in the form r*z + t + j*z**4 + d*z**2 + g*z**3 and give j.\nAnswer: -440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/(-7)*(161\/46)\/(3\/58)?\nAnswer: 29\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 38 = -3*m. Suppose 4*s = 5*s - 22. Let b = s - 6. What is the lowest common multiple of b and m?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 106*q - 15*q + 12 - 12 to the form w*q + l and give w.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = g**2 - 35*g - 64. What is the remainder when 117 is divided by z(37)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n**(-4)\/n)\/n)\/(n*(n\/n**(-2\/11))\/n))\/(n\/(n*n*n**(1\/21))*n**19) assuming n is positive.\nAnswer: n**(-5806\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -1, -45, 16 in increasing order.\nAnswer: -45, -1, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out -33882 * -1.195.\nAnswer: 40488.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1ef3e + 4e3?\nAnswer: 1f421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (5 + (sqrt(1900) + 2)*-5 + -1*(1 + sqrt(1900) - sqrt(1900))*3 + -2)**2 + -1.\nAnswer: 1000*sqrt(19) + 47604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -19 + 0 - (-97 + 52 + 44).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 11429.8 to the nearest 10.\nAnswer: 11430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 580910420 to the power of 1\/4, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 628879585 to the power of 1\/4, to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.08 - 10.3641905.\nAnswer: -10.2841905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -67\/216562 and -29\/18696.\nAnswer: 2598744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 271423361.\nAnswer: 11, 24674851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 2111208 a multiple of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 3*q - 15. Let o be t(7). Let m = 10 - o. Suppose g = -2*p + 379, m*p + 2*g - 567 = p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*z**2 - 2*z + 2*z + (-3*z**2 + 0*z + 0*z)*(33 + 64 - 69) to m + w*z + f*z**2 and give f.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-6 + 6\/3)*-1. Let r be ((-2)\/t)\/((-4)\/304). What is g in -r*g**4 + 2 + 6*g + 12*g**3 - 2 + 15*g**2 + 41*g**4 = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 64, 5, 4, 9, -5.\nAnswer: -5, 4, 5, 9, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2670 and 24.\nAnswer: 10680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -f**2 - 9*f - 4. Suppose l + l + 16 = 0. Let x be s(l). Solve x*u = -u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -z + 2. Let h be r(-2). Let v = -1 + h. Let t be -3 + (-1)\/5*-35. Solve 0 = -t*k + v*k + 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -20921 + 460371\/22. Find the common denominator of ((-42)\/(-24))\/(-7) - 27\/(-20) and i.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*o + 3*o + 12. Suppose 0 = -3*a + 6, 0*a + 320 = 4*z + o*a. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 582 minutes after 10:53 AM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -689.59948975 minus -2?\nAnswer: -687.59948975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 6485 to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.41 - -0.35. Let q = 0.09 - -5.91. Let i = 5.6 - q. Sort -2, o, i in ascending order.\nAnswer: -2, i, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 13193 or -1?\nAnswer: 13193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + p = -4, -p = -0*p + 2. Let l be f\/(-7) - 115\/(-35). Suppose 7 + l = 2*m. Solve -4 = -2*s + 5*o, -m*s + 2 = -3*o - 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5 + 3. Suppose 3*z - 5*g = 4 - 15, -z - 2*g = 0. Let f be 2 + s\/z*-2. Solve -3*r = -f*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1209.801 * 18.\nAnswer: 21776.418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -101.3269746 + -97.672993. Let a = -199 - z. What is a rounded to 6 decimal places?\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-304)\/(-28)*7\/2*1. Suppose 0 = -41*r + n*r. Let l be (r + -4)*2*15\/(-24). What is the greatest common divisor of l and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine n, given that -15*n**4 + 78565*n**3 - 3939460*n**2 - 13795260*n - 11203920 = 0.\nAnswer: -2, -4\/3, 54, 5187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 9014981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = 19 + 15. What is the remainder when 50 is divided by i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7 - (-1 - -10) - (6 - 1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i + 9 = 3*x, 9*i + 20 = 2*x + 4*i for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 269 = -5*a - 529, -494 = 3*a - 2*t. Let g = a + 170. Solve 5*z = -20, 0 = -4*u + 6*z - z + g for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dt when two letters picked without replacement from dsddtsdstddd?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -4*l + 3*l. Let s(h) = 0*h + 8 + h - h**3 - 4 - l*h**2 + 1. Determine s(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11761 is divided by 74?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(288))**2 + (1 + sqrt(200) + 0 + (sqrt(6)\/sqrt(3) - sqrt(2)))**2.\nAnswer: 20*sqrt(2) + 4809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6 times -64?\nAnswer: -38.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 161080148 a multiple of 399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 9  (b) 0.3  (c) 2\/19  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = b**3 - b**2 - b + 1. Let u(n) = -7*n**3 + n**2 + 6*n + 0 - 8 - 4*n. Let v(p) = -6*c(p) - u(p). Determine v(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(85)\/sqrt(20) - (sqrt(17)*2 + -5)) + sqrt(17) + (-2*sqrt(2448) - sqrt(2448)) + -5)*-3 + 1)**2.\nAnswer: 219*sqrt(17) + 815341\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4.8 in 0.6, -13, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 2 + 7)*(0*x**2 - 4*x**2 + 2*x**2) + (-2*x - 1 + 1)*(9 - 14 - 16)*(0*x - 2*x + 5*x + (-3*x - x + 2*x)*(4 - 3 + 0)).\nAnswer: 38*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.09  (b) 116\/15  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -193 - 3699*h**2 + 12*h - 12*h + 193 - 2003*h**3 wrt h.\nAnswer: -12018","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 + 22 - 7 - (2 + 7)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1484 divided by -28?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*m + 5 + 7. Let g be (m - (-54)\/(-2))*-21*1. Suppose -4*r + g = r. What are the prime factors of r?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1.14, 6630, -2\/17, 2, 4, 5.\nAnswer: -2\/17, 1.14, 2, 4, 5, 6630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 113\/5 + (-16)\/(-40). What is the second derivative of h*i**2 + 868 + 21*i - 868 wrt i?\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -z**5 + 2713*z**4 - 2264658*z**3 + 380724088*z**2 + 175861833632*z - 4982669555328 = 0. What is z?\nAnswer: -206, 27, 964","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k + 4*z = 11, 4*k - 2*z - 22 + 44 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 65100*v**2 + 65157*v**2 + 4*v**3 - 130257*v**2.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 29*j**2 - 3*j - 2. Let k be h(-1). Calculate the highest common divisor of 20 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 24 and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = r**3 - 12*r**2 + 15*r + 14. Let q be n(11). Let v = q - 35. Does 6 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -253325155 (base 6) in base 4?\nAnswer: -102302213333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 13 = -1. Suppose 5*u - 9 - 1 = 0. Find the second derivative of 3*r - u*r - 2*r**j + r wrt r.\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*m**2 - 3*m**2 + m**2)*(-3*m - 6*m - 110 + 2*m).\nAnswer: 28*m**3 + 440*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -43*v**2 - 7*v + 689. Let j(l) = 14*l**2 + 2*l - 230. What is 2*h(i) + 7*j(i)?\nAnswer: 12*i**2 - 232","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 7851\/25 - 314. Let t = 41\/225 + j. Factor -4\/9 + t*o + 2\/9*o**2.\nAnswer: 2*(o - 1)*(o + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 2 l when three letters picked without replacement from vzlmllzuzzmd?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 15.82 - -2.08. Let q = v + -17.899842. What is q rounded to 5 dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 12 - 32. Let m = q - -32. What is the greatest common divisor of 108 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17969928.\nAnswer: 2, 3, 751, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -7, -6, -5?\n\"Answer: f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j - 16 = 0, -3*x + 5*x = -3*j + 32. What is the tens digit of (-4 + 3)*1 + x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 6*d**3 - d**2 + d - 1. Let c be f(1). Let z(t) = -t**3 - 13*t**2 + 17*t + 46. Let p be z(-14). Which is smaller: c or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -16*y**3 - 57*y**2 + 91*y - 260. Let h be c(-65). What is h rounded to the nearest 100000?\nAnswer: 4100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24746.\nAnswer: 2, 12373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4455)\/297*(56\/30 + -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 42 and 114.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1139941?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 15 = 4*t. Suppose -2*y + 12 = 2*g, -t*y = -8*y - g + 34. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12 + (-6 - 1 - (73 - 67))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 16\/28177 and -63\/1518592?\nAnswer: 28853248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -b**2*f**2 - 2*b**2*f - 1270*b**2 + 12722*f**2 with respect to b.\nAnswer: -2*b*f**2 - 4*b*f - 2540*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1003 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 94  (b) 1\/9  (c) 3579  (d) 1  (e) -7\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1004091686 a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 13*v + 56 + 66 + 86 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -14053 - -0.3.\nAnswer: -14052.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -482*o**2 - 13*o - 13. Let c(y) = 121*y**2 + 3*y + 3. Calculate 9*c(b) + 2*l(b).\nAnswer: 125*b**2 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*u - u - 24. Let m = -12 - u. Let l(p) = -p**3 - 5*p**2 + 6*p - 7. Determine l(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 646*w**2 - 9*w + 6. Is u(-13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -12222013301 + 131?\nAnswer: -12222013110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4 + 9. Let d(b) = b**3 - 3*b**2 - 10*b + 1. Let n be d(h). Let g(w) = 8*w - 2. Let a be g(n). Solve a = f + f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 8  (b) 0.2  (c) -533  (d) 2\/5  (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*x = 148 - 85 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7968 is divided by 532?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -9998220370322*d**2 - 8943476*d - 2.\nAnswer: -2*(2235869*d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -192*f**3 - 173*f**3 - 17*f**3.\nAnswer: -382*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 43 + -28. Let f be (132\/24)\/((-1)\/(-2)). Let h = f - k. Let c(u) = -2*u + 1. What is c(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8109887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1332 is divided by 441.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 26870682277 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 401894?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.26 - 42.26. Let i = t + 41.9977. Round i to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -206 divided by 103?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 39\/22 bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -1, -145, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 33*y - 32 - 34. Factor 2\/7*o**y - 8\/7 - 6\/7*o.\nAnswer: 2*(o - 4)*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -243 - -246. Solve -2*o = -5*o - j*g, 4 = -2*o + 2*g for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -22752 - -59274. What is the hundreds digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 0.5, 2.4292 in increasing order.\nAnswer: 0.5, 2.4292, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -20 + 14 + 8 + 1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 4*h**2 + 2*h - 3. Let v be n(-3). Let f(t) = -36*t - 24 + 61 + v + 40*t. Does 26 divide f(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = b**3 + 11*b**2 - 15*b - 27. Let f be d(-12). Solve f = -3*s, -m + 2*s + 3 = -0*s for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -j**2 - 8*j - 10. Calculate f(6).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -16 + 11. Let t = 4.56 + o. Let p = t + 0.5. What is the biggest value in 0.2, p, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((v**19)**(1\/6))**(-50))**0)**(-5\/6) assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 1, q: 1, c: 1}. Give prob of sequence qgc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in -11, -13, 0, 326, -2\/7, -0.01?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 1540, 432, -1380, -3902, -7140, -11100?\n\"Answer: -f**3 - 346*f**2 - 63*f + 1950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 3 = 3*s + 10, 0 = -s - 5*m + 9. Let j be (-59)\/(-2) + s\/(-2). Solve 3*z + 20 = 2*l, -4*z - j = -4*l + 2 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*t + 3*z + 27, 1626*t - 1623*t + z + 19 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 28927, 55875, 82821, 109765?\nAnswer: 136707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -31\/810 and 11\/4050.\nAnswer: 4050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14875.\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + 3 + 18 + -11.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (28 - 1 - 51791*v**2 + 51702*v**2)*(4*v**2 - v**2 + 2*v**2).\nAnswer: -445*v**4 + 135*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6 - -10. Suppose 0 = -3*a + 6 + 24. Let t = a - r. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -73*j**2 + 77*j - 2. Let w(p) = -145*p**2 + 155*p - 5. Let x(l) = -9*f(l) + 4*w(l). Find the second derivative of x(s) wrt s.\nAnswer: 154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.055354 rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -i + 8. Let w be n(8). Let j(a) be the third derivative of 1\/6*a**3 + 0*a + w - 1\/12*a**4 + a**2. What is the first derivative of j(q) wrt q?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2533911 = 87*v + 30*v + 364731. Round v to the nearest 100.\nAnswer: 18500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nfbbanafnnf. What is prob of picking 1 b, 1 a, and 2 n?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -125 times 0.11\nAnswer: -13.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 53065.\nAnswer: 5, 10613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 62 = x - 56, -4*x = -2*w + 30. What is the nearest to 4 in w, 3, 1\/2, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -40 - -40. Let z(h) be the third derivative of 0*h**4 + 1\/60*h**5 - 3*h**2 + y*h**3 + 0 - 1\/40*h**6 + 0*h. Find the third derivative of z(u) wrt u.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -14 + 19. Solve 0 = 5*o - 0 + i for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*m**2 + 3*m**2 - 2*m**2 + 2*m**2 - 3*m**2 + 2*m**2 + m**2 - 2*m**2 - m**2 + (-2 + 0 + 0)*(m**2 - m**2 + 2*m**2) - m**2 + 14*m**2 - 55*m**2.\nAnswer: -46*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -1335.7698 to 0 decimal places.\nAnswer: -1336","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*t**3 + t**3 + t**3)*(0 + t + 0) + 2*t**4 + 3*t**4 + 2*t**4 - 2*t - 4251*t**3 + t + 4243*t**3 - t**4 - 2*t**2.\nAnswer: 2*t**4 - 8*t**3 - 2*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -155\/2333651?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 101102011000 + 1?\nAnswer: 101102011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = d**3 + 11*d**2 + 18*d + 6. Let n be b(-9). Suppose 46 = n*h + 16. Solve -4 = -h*p - v - 3*v, 2*p - 3*v + 3 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 192572?\nAnswer: 2, 31, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 1\/4, 3, 12.8, 1 in descending order.\nAnswer: 12.8, 3, 1, 1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.4550468nm to meters.\nAnswer: 0.0000000004550468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-6)\/4 - (-923)\/142. Let d(c) be the third derivative of 0 + 0*c**3 + 0*c + 0*c**5 + 1\/27*c**4 + z*c**2 - 1\/540*c**6. Let d(b) = 0. Calculate b.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*h**4 + 8061*h - 699*h**3 + 4865*h + 744*h + 154*h wrt h?\nAnswer: -24*h**2 - 4194*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -238 <= -236?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*g - 69 - 21. Suppose -o + g = o. Let m(q) = -17*q - 126. Let z be m(-9). What is the highest common factor of o and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (96\/112)\/(7\/196). Calculate the highest common factor of 270 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 324 divided by -36.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4964.\nAnswer: 2, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 480, 957, 1432, 1905, 2376, 2845, 3312?\nAnswer: 3777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1310.461 millilitres to litres.\nAnswer: 1.310461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -120.45 + -1.55. Let i = s - -46.9. Let a = i + 71. Round a to 0 decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 17719 and 1131.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -123459168 divided by -1498?\nAnswer: 82416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = 5*p - 74, -5*p + 2*s + 68 = -2*s. Let a = 43 + -37. Suppose 20 = 8*g - a*g. What is the least common multiple of p and g?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:25 PM and 12:13 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -333 + 325. Which is the second smallest value?  (a) -0.01  (b) 0.1  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = f**3 + 28*f**2 - 66*f - 62. What is the remainder when k(-30) is divided by 60\/2*(-5)\/(-15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1063 - -1207. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 3*x = -27, -4*x = -2*t - 3*x + 15. Let b(u) = -6*u**2 + 2*u - 6. Let h(a) = -3*a**2 + a - 3. What is t*h(k) - 4*b(k)?\nAnswer: -3*k**2 + k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2747 is divided by 95?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.183 and -1.1094.\nAnswer: -0.2030202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -474 - -482. Solve -m = -3, -4*m + l = 3*y - 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 2, i: 3, x: 6, r: 1, n: 2, q: 1}. What is prob of sequence hrnx?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 1\/60 of a hour?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.0288  (b) 2.33  (c) -14\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1977393?\nAnswer: 3, 11, 59921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -2*q - 8. Let a be v(-3). What is the units digit of (a\/6)\/((-29)\/2523)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -669, -691, -737, -813, -925?\nAnswer: -1079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b = -2*z + 208, 2*z - 5*b = -2*z + 351. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 4*f + 4. Let s(g) = -5*g - 3. Let p(u) = -3*s(u) - 2*v(u). Let z = -377 + 589. Let r = 213 - z. Calculate p(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 724 - 0?\nAnswer: 724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g + 110 = 115 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2148 and 4512?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -10291\/3346 + 1\/239. Which is smaller: -4 or l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-95)\/(-15)*(-18)\/(-5). Let y = w + -1264\/55. Let m = -2.1689 + 2.1689. Which is the second biggest value?  (a) 2  (b) 2\/7  (c) m  (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of 23002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 112459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 104824?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -b**2 + 3*b + 4. Calculate q(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 351275 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 689 a factor of 3348540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is one twentieth of a century in years?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 4*q**2 + 15822*q + 15822. Let l be w(-1). Determine r so that 0*r - l*r**2 + 52\/3*r**4 - 26\/3*r**3 - 14\/3*r**5 + 0 = 0.\nAnswer: -2\/7, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 15 - 27*f + 22)*(-3 + 2 + 0)*(-6*f + 4*f + f).\nAnswer: -27*f**2 + 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve b + 47152 = -2*i + 47179, 0 = 2*b - 3*i - 26 for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7336 + 4569. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -t + 10. Let o be w(6). Suppose 3*x = 3*z + 27, 4*x + o*z - 64 = z. Calculate the highest common factor of 91 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 38 + (-2 - 3 - -9) + -5. Suppose 2*g = -o + 2*o + 13, -5*g + 4*o = -w. Solve -2*z + 2*d + 17 = -7*z, 5*z - g*d = -10 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.0389 rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -18, -32, -46?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that x**2 - 7662*x + 84161 = 0.\nAnswer: 11, 7651","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1.87 + -1.595. Let i = 0.27722 - l. Round i to four dps.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 780*q + 3484 = 784*q. What is the hundreds digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -148.612 + 147.612. Let i = -277 + 5265\/19. Which is bigger: i or w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -2*h**2 + 2. Let g be a(2). Let w(n) = 1 - 3 - 3*n + 2*n. Let x be w(g). Solve 0*i - 20 = x*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = q**3 - 51*q**2 - 165*q + 153. Determine s(54).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1389*t**4 - 3*t - t - 1326*t**4 + (-1 + 1 - 2*t**4)*(4 + 1 - 3) to the form y*t**3 + v + m*t**2 + j*t**4 + i*t and give j.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 62 - -6047189?\nAnswer: 6047251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x**3\/9 - 3698*x**2\/9 + 51428*x\/9 - 29360\/3 = 0 for x.\nAnswer: 2, 12, 1835","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 29 + -19. Suppose -2*m - 7 = -f, -9 = 3*f + 2*m + t. Let c(g) = 2*g**2 + 3*g - 1. What are the prime factors of c(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4896 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-2)\/(-5))\/((-4)\/40). Let y(w) be the third derivative of -w**4\/24 - 5*w**3\/6 + 2*w**2. Let d(k) = k + 6. Let u(f) = 4*d(f) + 5*y(f). Give u(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the third derivative of x**5\/60 - x**4\/12 - 11*x**3\/6 - 4*x**2. Is i(-6) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 19 - 11. Let n(o) = -o**3 + 11*o**2 + 7*o + 3. Is n(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) be the second derivative of -689*a**4\/6 + 289*a**3\/2 + 462*a. What is the second derivative of b(n) wrt n?\nAnswer: -2756","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -26\/231 and 15\/16094309.\nAnswer: 48282927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*(-9 + 196\/21).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/21?  (a) -26  (b) -4  (c) -2  (d) -3  (e) 2\/23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uukuv. What is prob of sequence vvv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -10, -32, -0.4, 5 in increasing order.\nAnswer: -32, -10, -2, -0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -88 + 78. Let d = -9.96 - p. Which is smaller: -2 or d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) be the second derivative of -18*l**6\/5 - 18*l**5\/5 + 443*l**4\/4 - 145*l**3\/2 + 18*l**2 - 12741*l. Suppose v(z) = 0. Calculate z.\nAnswer: -4, 1\/6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1\/(-110) + 22415393\/415030\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that 9*g**3 + 15*g**2 - 48*g - 36 = 0.\nAnswer: -3, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of (-4)\/(-2 - -6) - -21 and 68.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + 9 = 0, 3*t + s = 2*t - 4. Let v be 12\/3 + -1*(t - -1). Solve -5*o + 6 = -v for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*y**3 + 2*y**4 + 2*y - 3*y - 224*y**2 - 5 + 110*y**2 + 111*y**2 in the form a*y**2 + p*y + f*y**3 + b + j*y**4 and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18819 is divided by 18812.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4335652 is divided by 334.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -19*o**2 + 4*o + 1. Let f be w(3). Let d = -144 - f. Suppose 2 = 3*l - 2*u, -l = 4*l - 2*u - 6. What is the smallest common multiple of l and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 216 and 2432.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -493416 by -36.\nAnswer: 13706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (4362\/(-4))\/((-29)\/58). Is d at least as big as 2180?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 6*n**2 - 2*n + 6. Let u(k) = 8*k**2 - 3*k + 9. Let p(g) = 9*g**2 - 3*g + 10. Let r(d) = -3*p(d) + 4*u(d). Let j(q) = 5*r(q) - 4*t(q). Determine j(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 128 minutes before 3:27 PM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.00846 - -0.09884. Which is smaller: -7 or r?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -11*a**3 - 18*a**2 - a + 1. Is 5 a factor of y(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -282*h**2 - 3 + 0 + 3.\nAnswer: -282*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 3575701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(-3)*15\/10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = o**3 - 15*o**2 + 9*o - 136. Let b be m(15). Is b at least 8\/105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.05 + 0.02. Let s = -2.97 + l. Let j = -2.7 - s. What is the nearest to -2 in j, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 29417?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 * -216.3\nAnswer: -43.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (-651)\/806*(-1656)\/(-483)\nAnswer: -36\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -15*(-2 + 4 - (1 + 2)). Suppose -16*k + z*k + 6 = 0. What is the remainder when 37 is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2041*d + 716*d + 14575 = 0 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 19\/44 + -2\/11. Let g = -88 - -94. Let y be (-1 - 0)*(-2)\/g. Which is the nearest to q?  (a) y  (b) -4  (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 - -12 - (-2 + 7 + 7) - -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 109 a factor of 2000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide -339 by 20.\nAnswer: -339\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 1, e: 2, r: 12, n: 1, b: 3}. Give prob of sequence bnb.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 287 is divided by 72?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-six fifths of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 23 + -9 - (1 + -1). Let p = 1 + d. Does 9 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 64 a factor of 1088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(3 + (0 + (-1 + sqrt(80))**2 - (sqrt(80) + 1 + -1)) + (-1 + (sqrt(80) + -1)**2 - (3*sqrt(80) + -4)**2)).\nAnswer: -1716 + 228*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.216 - 0.326. What is the second biggest value in 1\/3, -0.1, u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -42920936 or -386288414\/9?\nAnswer: -42920936","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1012439*c**3 + 7484*c - 111.\nAnswer: -6074634*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 6 + 0 + (-2)\/2. Suppose 0 = -t + 5*f - 6 - 0, -3*t + 2 = -j*f. Let z = 0.1 + -0.6. Which is the second biggest value?  (a) -2  (b) z  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -f + 4. Let a(t) = 21*t + 21. Let q(k) = a(k) - 5*b(k). Determine q(1).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(3*sqrt(35)*-5)\/(-1*sqrt(112) + sqrt(7) + sqrt(7)).\nAnswer: -15*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 11.9 - -2.1. What is the closest to 0 in f, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -d**5 - 12*d**4 + 483328*d**3 + 595996*d**2 - 3*d?\nAnswer: -60*d**2 - 288*d + 2899968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -181\/56100 and 47\/265540.\nAnswer: 3983100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 154, -58, -65, -5 in decreasing order.\nAnswer: 154, -5, -58, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4097.7462 + -3465.822. Let g = 632 - r. Round g to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 5*j - 13. Let y be o(5). Suppose -4*k - 316 = -3*f - 2*k, -5*f + 2*k + 532 = 0. What is the highest common factor of y and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 + 0 = -q. Let a(l) = 6*l**2 - 4*l**2 - 19*l**3 - 1 + 3*l**3. What is the units digit of a(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1909 and 2407?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = j**3 - 4*j**2 - j - 3. Suppose 4*w + 16 = 0, b - 4 = -2*b - 2*w. Suppose s + s - 5*x = -17, -b*x + 24 = s. Let q be c(s). Is q != -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 207 (base 11) to base 3\nAnswer: 100020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*b**2 - b**2 - 4*b**2 + (-3 + 7 - 2 + (1 + 2 - 2)*(0 + 1 + 1) - 2 - 1 + 5)*(0*b**2 + b**2 - 2*b**2).\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 86*m - 8 - 21*m**2 - 55*m - m**3 - 78*m. Is t(-21) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-9)*u\/((u\/(u*u*(u\/u**(-3\/2))\/u))\/u))**(-6) assuming u is positive.\nAnswer: u**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l = l - 8. Let b = -233\/3 - -72. What is the common denominator of (-37)\/20 - 2\/l and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wbzwbbybwycb. What is prob of sequence wbb?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2\/603 - -12659\/1206. Let x = o - 65\/6. Is 20 at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -g**3 - 11*g**2 - 23*g + 4. Let j be v(-8). Put -2, j, 17, -3 in ascending order.\nAnswer: j, -3, -2, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(119)*2)\/(sqrt(77)\/(sqrt(22)\/sqrt(2))) + -1.\nAnswer: -1 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -165 = -44*h + 19*h - 40 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/4 in 22\/5, 0.2, 0.02?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = z**2 + 3*z + 11. Let k be b(-12). What is the greatest common factor of 17 and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 503901.561 rounded to the nearest one hundred?\nAnswer: 503900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = 10, 4*o + 28*d - 32*d + 524 = 0. Let w = o + 140. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -u**2 + 7*u + 2. What is the remainder when 5 is divided by v(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tgt when three letters picked without replacement from {t: 5, g: 11}.\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 4*p. Let j(n) = -n - 1. Let f(l) = 0*l - 7 - l + 2*l - 9*l. Let r(y) = 3*f(y) - 21*j(y). Calculate 5*r(u) + 4*x(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-10)\/(-55) + 207\/11 + -5. Let q(b) = 3*b - 41. Give q(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -99 - 65*d + d - 33*d - 127*d + 32*d wrt d.\nAnswer: -192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 66, 124, 182, 240?\nAnswer: 298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 11*b**2*c**3*k**3 - 235*b**2*k - 2*b*k**2 - 16*c**3*k**3 + 6*c**3*k**2 wrt k?\nAnswer: 66*b**2*c**3 - 96*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.001679867376 rounded to 7 dps?\nAnswer: 0.0016799","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 15083599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 127638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1057183 = -g - 119214. Let a be ((6 - 6) + -1)*-1382969. Let p = g - a. What is p rounded to the nearest ten thousand?\nAnswer: -450000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.1, -0.2, -0.1, -13, -64?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = d**2 - 4*d + 4. Let f be o(5). Let a = 25 + -16. What is the greatest common factor of a and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -500 + 499.999968. Round o to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1)\/(-4)*-2*-12. Let z be (4\/o)\/((-4)\/(-150)). Suppose 4*c - 82 = 5*j + z, 0 = 2*c - 2*j - 54. Calculate the greatest common factor of c and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -81\/220 and -197\/660.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -t**3 - 7*t**2 - 2*t + 4. Let l be n(-6). Let i(j) = -j**2 + 19*j - 81. Let d be i(15). Let r = d - l. Which is smaller: -1\/7 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 3*q. Suppose -1 - 5 = -3*s. Let u(j) = -5*j**2 + 4*j**2 + 4*j**s - 4*j**2. Calculate t(u(g)).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 44, 89, 134, 179?\n\"Answer: 45*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a centimeter in millimeters?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 607*r - 617*r - 80 = 0 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 2*u**2 + 24*u + 9. Let v(z) = -2*z**2 + z - 2. Let q be v(-2). Let c be g(q). Solve 24 + 1 = 2*l + 5*y, -2*y - c = -3*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -10100 + 10239. Calculate the remainder when i is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2 - -0.5. Let p = -8194.5413 + 8193.04129956. Let h = p - n. What is h rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-28)\/(-6))\/(79\/237).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1)\/((-8)\/434*3\/12). Calculate the highest common factor of 7 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 51?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 6 and 16562?\nAnswer: 49686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 39228407?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -88*k + 186 - 861 + 18*k + 27*k + 42*k.\nAnswer: -k - 675","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -17, -7 in descending order.\nAnswer: 1, -7, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 282061 is divided by 363?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 6337*a**2 + 1025*a + 44109780.\nAnswer: 12674*a + 1025","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*p**3 + 135*p**2 + 290*p.\nAnswer: -5*p*(p - 29)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 24.635676 months in centuries?\nAnswer: 0.02052973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -127 - 319 - 230 = -23*t + 221 for t.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 10381891?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.0410028 + 0.041. What is j rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -332*m = -251*m - 127980. Does 10 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 2 = -2*b. Let i(c) = c**3 - c**2 - 8*c + 2. Let w be i(3). Let d be (-2)\/w*(-7 + 43). Solve 3*l + d = -3*y, -5*y = -3*l + b*l + 24 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6 + -10. Suppose r = -9 + 27. Let k be 12\/r + 2\/6. What is the closest to 1 in k, -1\/12, l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*d**2 - 4*d**2 - 7*d**2)*(3 - 7 + 1)*(-3 + 3 - 1)*(2*d + 3*d - 3*d).\nAnswer: -114*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + 1 - 10*l**2 - l**4 - 5*l**2 + 17*l**2 - l**3 to the form x*l + g + s*l**4 + r*l**3 + v*l**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(125) + 0 + sqrt(5))**2 + -4 + 0 - ((sqrt(320) - (sqrt(320) - sqrt(320)*2)) + -4 - sqrt(60)\/(sqrt(36)\/(sqrt(6)\/sqrt(2))))**2.\nAnswer: -605 + 120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 8197496321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 9\/(-6) - 1\/(-4)*26. Let c(k) = -k**3 + 8*k**2 - 13*k - 4. Give c(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) be the first derivative of o**6\/6 - 4*o**5\/5 + 119*o**4\/4 - o**2\/2 + 4065*o + 3402. Find the second derivative of f(q) wrt q.\nAnswer: 20*q**3 - 48*q**2 + 714*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d - 1. Let a be s(-4). Solve j - 5*g = -a, 15 = -5*j + 3*g - 4*g for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*b + 0*b - 3*b**2)*(-5 + 4 + 2) - 144*b**2 - 39 + 23 + 16 - 357*b**2.\nAnswer: -504*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.069*-6.\nAnswer: -0.414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 12349148947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**2\/c*c)\/(c*c*c*c**(-3)*c*c))**(-2\/17)*c*c\/c**7*c*c*c\/c**(-3\/2)*c*c*c**7*c**(1\/3) assuming c is positive.\nAnswer: c**(53\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3\/7?  (a) 3751  (b) -13  (c) 23  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1377 + -4130\/3. Let w(x) be the first derivative of -4 + 1\/18*x**3 - o*x + 1\/12*x**2. Suppose w(h) = 0. Calculate h.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*s = 11*s - 306. Solve -3*o + p - s = o, 0 = -3*o - p - 17 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 11.3 + -31.8. Let k = n + 25.5. Let i = 37\/28 - 11\/7. Which is the closest to i?  (a) 2  (b) k  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from guugguggkggku?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -15 + -223?\nAnswer: -238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1100 (base 3) in base 11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = 1, 0*k - 2*k = 5*z - 2401. Suppose -k - 697 = -5*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.1, 1\/3, 0.074, 0.04, 3\/8?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(1\/4))**(1\/11)\/(z\/(z\/(z**(4\/3)*z*z))*z*z\/(z*z**(-20))))**13 assuming z is positive.\nAnswer: z**(-41717\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = 2*k - 18, 0 = 3*k - 5*p + 3*p - 19. Suppose -k*c = 5 - 0. What is the remainder when 7 is divided by -3*(c + 2)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1\/6, -5, 25.7, 5, 4\/3, -1.3, 22\/5?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 7929797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 12, g: 3}. Give prob of sequence rgg.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*x**2 - 160*x - 720 = 0 for x.\nAnswer: -4, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 12*b**3 - 2*b**2 + 2*b - 1. Let u be k(1). Let c = u - 7. Suppose c*l = 478 - 38. What are the prime factors of l?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -8223.6 + 6796. What is z rounded to the nearest ten?\nAnswer: -1430","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ccxxccxxpyxbccyppcpb. What is prob of picking 1 p, 1 y, 1 c, and 1 b?\nAnswer: 112\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.06 + -0.24. Let m = g + 1.3. Let h = 20 - 21. Which is the nearest to 1?  (a) h  (b) m  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (13 + -4)\/((-2412)\/(-1340))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1 + -3)\/(-1)*((-3384)\/96 + 35). Do f and 1\/29230 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1500)\/(-625)*(-15)\/(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -3667550 rounded to the nearest 10000?\nAnswer: -3670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/55, -18\/7, 2\/7, -2, -0.5, 50?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 8 or 45128\/5003?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -313437*m**3 + 626932*m**3 - 313381*m**3.\nAnswer: 114*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -3  (b) 0.5  (c) -2  (d) 1\/16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*r = 11*r - 4. Is r\/4 + (-72)\/(-32) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 146 - 143. Solve 35 = 10*l - t*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5 + sqrt(13))*-6 - (-3 + sqrt(13)*-3))**2.\nAnswer: 162*sqrt(13) + 846","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + 6 = 4*t, -2*w + 8 + 2 = 2*t. Let s(u) = -u**3 + 10*u**2 + 4. Let d be s(10). Suppose 2*y = 10 + d. Calculate the remainder when y is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -4, 9\/4, -0.3, 3 in descending order.\nAnswer: 3, 9\/4, -0.3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b = 5, 171*y - 175*y + 24 = 4*b. Let c(i) = -7*i. Let o(x) = 18*x. Let r(d) = y*c(d) + 2*o(d). Let f(n) = 3*n + 4. What is -f(t) + r(t)?\nAnswer: -2*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -6 - 30?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -75, -139, -191, -225, -235, -215, -159?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -3.5037*-4\nAnswer: 14.0148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 102, 203, 290, 357, 398, 407, 378?\nAnswer: 305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -222*l**2 + 112*l**2 + 133*l**2.\nAnswer: 23*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 6\/8 - (-3 - -4). Let j = 565 - 567. What is the nearest to q in j, 0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -334 < -331?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 6, e: 4, l: 2, y: 1, w: 2}. What is prob of picking 1 w and 2 e?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -97 + 77. Is p >= -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that 168*w**5 + 1234*w**4 + 352*w**3 - 5366*w**2 + 3900*w - 288 = 0.\nAnswer: -6, -24\/7, 1\/12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 9747643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 225*b = 9*k + 221*b + 112, 0 = 8*k + b + 95 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 31.1 + -31.1. What is the third biggest value in n, -0.4, -2, 5.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-84)\/189 + 283\/1386. Are b and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 100460, -1, -2.\nAnswer: -4, -2, -1, 100460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 213*t + 75 - 146*t**3 + 214*t + 223*t + 5*t**2 - 650*t wrt t?\nAnswer: -876","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:16 AM and 10:29 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 583*p - 4746. List the prime factors of t(71).\nAnswer: 13, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -888*z - 21808 = -865*z - 187017. List the prime factors of z.\nAnswer: 11, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*h + 6*h - 4782. Let s = h + 3832. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3112317389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 365 + -368. Sort f, -0.3, -8, 3 in descending order.\nAnswer: 3, -0.3, f, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -247, -245, -241, -235?\n\"Answer: w**2 - w - 247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2437123213.\nAnswer: 7, 17, 20480027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -24.4 + 24. What is the third biggest value in -0.1, 0.3, 3, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 68681 is divided by 175?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -119874*y**3 + 86456*y.\nAnswer: -719244*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 8 = 102. Does 17 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -4.1 and -161.514.\nAnswer: 662.2074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 6951026416?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3917222, 7834615, 11752008, 15669401, 19586794, 23504187?\nAnswer: 27421580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -2254, -4499, -6744?\n\"Answer: -2245*j - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 273257417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**0)**(-21)\/(m*(m*m**(-27))\/m*((m*m**(1\/4))\/m)\/m) assuming m is positive.\nAnswer: m**(107\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -b**3 - 6*b**2 - b - 2. Let c be i(-6). What are the prime factors of (-8)\/(5\/((-10)\/c))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((3 - 5)\/(-6))\/((-12)\/(-516)) and -79\/138?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3884 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 3*t. Let o(b) = 2*b**2 - 24127. Determine o(v(z)).\nAnswer: 18*z**2 - 24127","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 18303 + -18303. Let q = -0.7 - 1.7. Let d = -2 - q. Which is the closest to g?  (a) 0.1  (b) d  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -9 (base 15) to base 8.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 22, 3, -3, 4, 60, -35.\nAnswer: -35, -3, -2, 3, 4, 22, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -38, 24, 86, 148, 210, 272?\nAnswer: 334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-195)\/(-12))\/(-13)*-1*(-8)\/(-85)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) be the second derivative of 5\/12*x**4 - 1\/20*x**5 + x**3 + 0 + 3\/2*x**2 - 9*x. What are the prime factors of f(5)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -39\/8 and -51\/334?\nAnswer: 1336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 11, 15, 23, 35?\n\"Answer: 2*z**2 - 2*z + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 30465 and 44946030?\nAnswer: 134838090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 78 + -47. Let f = a - 12. Is f at most 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) -9  (b) -16  (c) -2  (d) -5  (e) 0.2  (f) 0.0939\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 3*c - 10 = 0. Let v(z) = 2*z**2 - 6*z - 4. Let h be v(6). Suppose h = 2*m + c. Is 15 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -9*d**2*p**3 - d**2*p**2*t**2 - 2*d**2*p*t**2 - 2*p**3*t**3 + 4*p**3*t - 2*p**2*t**3 + 3*p*t**3 wrt p.\nAnswer: -54*d**2 - 12*t**3 + 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1, 0.2, -13.102, 365.6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 4, g: 2, j: 5, y: 3, u: 5}. What is prob of picking 1 g, 1 u, and 1 h?\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 81\/790 and 23.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.16144 to two dps.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 2*x - 3)*(-3 + 2 - 1) - 24*x + 9*x - 10*x in the form a + w*x and give w.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*m + 2*m + m)*(0 + 2 - 1) + 4*m - 2*m - 3*m - 23 + 29*m + 23 + 2 - 2 + 2*m in the form w + t*m and give t.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 26*n**2 - 4 - 1 - 3 + 8. Let z(k) = -5*k**2. Calculate z(j(w)).\nAnswer: -3380*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 20616350999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -25663 (base 9) to base 8.\nAnswer: -41636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -77\/51615 and -113\/194990?\nAnswer: 1754910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 32 - 23. Let m = t - 4. Solve 17 = -m*p - 3 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 7*q - 25 = 0. Let l be -3 - 1*(-205)\/q. Let g = -25 + l. Solve 5*i + g = 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jmccammmaamm. Give prob of sequence jmj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/6, 59, 0.5, 3, -5.\nAnswer: -5, 1\/6, 0.5, 3, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out -7162 * 187.2.\nAnswer: -1340726.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 507 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = u**3 + 10*u**2 + 7*u - 7. Let k be d(-8). Let l = 3 + -1. Suppose -3*h = l - k. What is the remainder when h is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/18)\/((-1)\/((-98)\/(-4))*(-5579)\/3188)\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = 47*b - 43*b. Put 2, b, 1, 5 in descending order.\nAnswer: 5, b, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1 - -9)*(-3)\/(-6). Suppose 0 = t*d + 25 - 125. What is the remainder when 180\/d*(-20)\/(-6) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1473 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.5  (b) 3  (c) -1  (d) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(1\/5)*i)**33*i**23*i**(1\/21) assuming i is positive.\nAnswer: i**(6578\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 2, j: 1, p: 3, x: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 395471 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 16 - 6 + 0*k**3 - 220794*k + 220797*k + 5*k**2 + k**3 to the form m + b*k**2 + i*k**3 + c*k and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d**9)**(1\/7)*d**16*d*d*d\/(d*d*d**(1\/17)) assuming d is positive.\nAnswer: d**(2186\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 84*y + 103*y + 103*y - 74*y + 5*y in the form z*y + x and give z.\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 82\/2541 and 107\/924?\nAnswer: 10164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 less than or equal to -1438517?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 45\/3817 and 69\/44.\nAnswer: 15268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2026, 5, -4, 292 in decreasing order.\nAnswer: 292, 5, -4, -2026","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2421 is divided by 537?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -922 + 919. Put 5, 7, 0.2, v in decreasing order.\nAnswer: 7, 5, 0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -545231202 - -30?\nAnswer: -545231132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.1, 0.6, 10304?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 20*p - 557 - 463. Solve 69 = 3*z - 3*u + p, 2*u = -4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 49*v**3 - 5*v + 5. Let u be b(1). Let p be (0\/(-3))\/(0 + 1). Suppose -3*k + 4*a = -90, 0 = k - p*k + 5*a - u. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 44*z**2 - 26. Let x be 10\/(-5) + 1*-151 - 2. Let a = -161 - x. Let i(u) = -5*u**2 + 3. Calculate a*l(k) - 52*i(k).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 298*x = 303*x + 5, -15*d + 0*x = 4*x + 94 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 528 and 428142.\nAnswer: 3425136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 3007, 2, -4.\nAnswer: -7, -4, 2, 3007","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 102221 - -12?\nAnswer: 110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 23126, 46224, 69326, 92432, 115542, 138656, 161774?\nAnswer: 184896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 13476682 - 12?\nAnswer: 13476670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 85632 (base 9) in base 11?\nAnswer: 39619","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1567670809 to the power of 1\/3, to the nearest integer?\nAnswer: 1162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2242006 is divided by 5947.\nAnswer: 5934","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.11 - 0.12. Let o = k + 0.042. Round o to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x + 4 = 13. Suppose x*q - 2 = w, 0*q - 2*w = 4*q - 16. Calculate the highest common factor of q and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.02923868373 from -36.\nAnswer: -35.97076131627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 51 = 29. Let q(a) = 4*a - 48. Let u be q(13). Solve 3*j - u*c + s = 3, j + 19 = 5*c for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 215 - -266. Let m = 864 - c. Let k = -268 + m. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - 4 + 19 = 0. Let d(y) = 7*y - q*y - 12 + 3. Calculate the remainder when 28 is divided by d(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 8*6\/4*1199. Suppose 0 = -56*x + 23*x + g. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.081 * 1985273.\nAnswer: -160807.113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 63.03953 years to centuries.\nAnswer: 0.6303953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 5 and -2.6462865.\nAnswer: -13.2314325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -12 divided by -149396\nAnswer: 3\/37349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 10290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -75247.500195 + 75242.9. Let l = a + 4.6. Round l to five decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (0\/(-1))\/(1 - -1). Suppose 0 = 5*o - 5*u - 80, -3*u = -7 - 2. Suppose -y = -o - d. Does 11 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 8*l**2 - 2*l**2 - 2*l**2. Let j(x) be the second derivative of x**4\/12 + 10*x. Give j(k(z)).\nAnswer: 16*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -o - 2*l + 5 + 10, 5*o - 67 = -2*l. Suppose 2*y = 5*b - 17, 0 = 3*b - 8*b + 3*y + o. Is b equal to 0.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-18)\/165*2 - (-8)\/20. Suppose 3 = -q + 2*q. Let j = 1 - 1. Which is the closest to j?  (a) -3\/4  (b) q  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2021221022211 (base 3) to base 9\nAnswer: 2257284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -15*v + 44. Calculate q(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 10 and 170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.041 + 0.041. What is the nearest to -2\/5 in g, 4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6 + 0 - 27*s**3 + s**2 + 25*s**3 to b + v*s**3 + c*s + m*s**2 and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vrv when three letters picked without replacement from {r: 2, v: 16}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 6*y - 5*y**2 + 2*y**2 + 4 - y + 2*y**2. Let c be w(5). Solve -2*r + 16 = c*o, o + 2*o = -r + 13 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1738.33922 to zero decimal places.\nAnswer: -1738","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 2557*i**2 - 59*i - 91. Is 71 a factor of f(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-17*r + 24*r + 26*r)*(2 - 4 + 1)*(-2*r - r + 5*r + 2) in the form g*r**2 + h*r + y and give g.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.4983 to one dp.\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -139\/28164 and -1\/10.\nAnswer: 140820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 16385 and 1625.\nAnswer: 5325125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + sqrt(7)*-2 + 0.\nAnswer: -2*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*b**4\/3 + 80*b**3\/9 + 44*b**2 + 96*b + 78.\nAnswer: 2*(b + 3)**3*(3*b + 13)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 minus -428?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 0*p + 436 + p - 435 - p**2. Give f(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (1\/3)\/(3\/18). Let s(n) be the first derivative of 2 + 0*n + 1\/9*n**4 + 0*n**b - 2\/27*n**3 - 2\/45*n**5. Factor s(i).\nAnswer: -2*i**2*(i - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 77 - 40 - 37 + 2*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) be the first derivative of 34*g**3\/3 + g**2\/2 + 81. Let z be u(-1). Solve 0 = -z*t + 31*t + 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 93120 = 235*r + 153*r. Calculate the greatest common factor of 4380 and r.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 66930473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 2 o when three letters picked without replacement from ocowwoggffkwow?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 11701 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Add together 1018 and -25971.\nAnswer: -24953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3147014 or -3147001?\nAnswer: -3147014","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 23 or 21?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -g**2 + 8*g + 6. Let w = -3 - -8. Suppose -b - 31 = -3*y + 4*b, -5 = b. Suppose -n + y = -w. Calculate u(n).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -190 - -53. Let d = 141 + m. Sort -1, -10, d in decreasing order.\nAnswer: d, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -84 - ((-44 - -19) + 2 + 1)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -572*v**2. Let b(q) be the first derivative of q**2 - 45. Calculate m(b(t)).\nAnswer: -2288*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -305 * -0.03\nAnswer: 9.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*q = q + 3744. List the prime factors of q.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -183 - -238. Suppose 15 + z = -14*t. Put -1, t, -4, 5 in increasing order.\nAnswer: t, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3752 - 551542\/147. Let a = 332\/2793 - x. What is the nearest to 2 in a, -5, 0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -z**2. Suppose -12*d - 38 + 38 = 0. Let v(b) = 945*b**2 + d - 2 - 999*b**2. What is v(u(s))?\nAnswer: -54*s**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 2*j**2. Let c(p) = 107*p**2 - 322 - 118*p**2 + 315. Calculate c(o(a)).\nAnswer: -44*a**4 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 752, 0, 1, 26, -8, 2 in ascending order.\nAnswer: -8, 0, 1, 2, 26, 752","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -190.9+-9\nAnswer: -199.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 65*z**2 - 109*z + 700. What are the prime factors of a(6)?\nAnswer: 2, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = a**2 - 26*a + 1839. Is w(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (1 - -7)\/(4\/10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -8 - -3. Let n = v + 5. Find the first derivative of -1 + n*p + 0*p - p + 3*p wrt p.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 656 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k**(-1\/8)*k*(k**(-10)*k)\/k)\/((k*k*k*k**(-1\/13)*k)\/(k\/k**(-1))) assuming k is positive.\nAnswer: k**(-1045\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-5))\/((-13)\/(-5)*(-13869)\/(-7839))?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 50*h**2 + 6*h - 8 + 7*h + 5 + 15. Let l be r(-5). Suppose s = l - 23197. Round s to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -1. Let c(a) = -a + 11 + 2*a + 2*a - 2*a. Let f be c(-10). Let w(k) = k - 6. Calculate f*w(g) - 6*b(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1527)\/(-12) + (-6)\/(-8). What is the highest common divisor of f and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -3*r**3 + 19*r**2 + 15*r - 20. Let o(j) = -2*j**3 + 12*j**2 + 10*j - 13. Let a(p) = 8*o(p) - 5*z(p). Determine a(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 377548 to the nearest integer?\nAnswer: 614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-27)\/(-18))\/(1\/(-2)). Let p = 0 - s. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 25 - 18. Let p = 7 + k. List the prime factors of 144\/p + 4\/(-14).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 75*d - 10. Let y(j) = -218*j + 29. Give 8*t(g) + 3*y(g).\nAnswer: -54*g + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14 - ((-4 - (-10 + 7) - 1) + 3).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3886 - -26007. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -137 - 188. Suppose 0*m + 3*m - 1764 = 0. Let n = l + m. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -45673 + 45659.5035. Round u to 0 decimal places.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 18870?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 20669 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = -5*h - 2*u + 86, -5*h + 227 = -u. Let q(b) = 69 + 3*b**2 - 4*b**2 + 29*b - h - 52. Let x be q(28). Which is smaller: x or -10\/19?\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3.5 - 3.7. Which is the biggest value?  (a) 2\/5  (b) -3  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:11 PM and 12:54 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 3 - 64*q - 3 + 65*q as a*q + r and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:32 AM and 4:59 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 10125357?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 42911757 and 1213443?\nAnswer: 472029327","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32*f = 142 + 178 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 7\/8333678 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - -0.0604.\nAnswer: -2.9396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 154 or 2.86961?\nAnswer: 154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/18*16490\/(-485)*(-3)\/(-4).\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put together 1.03 and 29.\nAnswer: 30.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 162 + 2?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -28682, -57311, -85940?\n\"Answer: -28629*j - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r - 2*u + 14 = 0, 3*u = r + 4496 - 4453 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m = 7*m - 30. Calculate the greatest common divisor of 35 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -k**3 - 5*k**2 - 5*k - 1. Let h be s(-4). Suppose -o = 2*o + u, -h*u = 5*o. Suppose o = -5*l + l + 84. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(176) + -1 + sqrt(176) + -1 + 3 + (sqrt(176) + sqrt(176) + -2*(sqrt(176) - sqrt(176)*2) - sqrt(176)) + -2 + 1*2*(sqrt(176) + -1)*2 + 2)**2.\nAnswer: -216*sqrt(11) + 14265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) be the second derivative of g**5\/10 + g**4\/12 - 11*g. What is the third derivative of k(p) wrt p?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1351 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ti when two letters picked without replacement from {i: 1, t: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 688909577?\nAnswer: 688909577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 15447?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 181 - 119. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2550473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k = w - 6, 3*k + 4*w = -0*w + 11 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -52.63 + 90.7. Let h = d - 38. Let p = -87\/2 - -45. Sort 3\/8, p, h.\nAnswer: h, 3\/8, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 9, j: 11}. Give prob of picking 2 j.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(45)\/(2*sqrt(729)))**2.\nAnswer: 5\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 2 = -4*i + 4, -u - 2 = -2*i. Suppose 0 = -4*o + 8, 0 = t - i*o - 7 - 3. Does 4 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5278354012 to the nearest integer?\nAnswer: 72652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -x**2 - 22*x + 1973. Determine t(-57).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) be the third derivative of -5*t**2 - t**3 + 0*t + 0 - 1\/30*t**5 + 1\/3*t**4. Suppose d(n) = 0. What is n?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -440103266 less than or equal to -440103264?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand 14*p**2 + 5*p**2 - 5*p**2 + (0*p**2 - p**2 + 0*p**2)*(-5 + 4 + 0) + 0*p**2 + 2*p**2 - p**2 + (p + p - p)*(-17*p - 44*p + 2*p).\nAnswer: -43*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 7560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*y - 2*y + y**2)*(0*y**3 + 2*y**3 - 6*y**3).\nAnswer: -4*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 50 + (-95 - -37) + 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -19275, -154110, -520091, -1232790, -2407779, -4160630, -6606915, -9862206?\nAnswer: -14042075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 841*l + 846*l - 1697*l.\nAnswer: -10*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*s + 16*s = 53*s - 294 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -109  (b) -14.2  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((198\/(-77))\/2)\/(-4 - -1). What is the nearest to 0.2 in 0.4, -6, c?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:17 AM and 6:57 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.7924957l?\nAnswer: 792.4957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-15)\/28 + 13\/52. Let h(g) = -g**3 + 7*g**2 + 2*g - 3. Let u be h(7). Let j = -8 + u. Sort j, 2, f.\nAnswer: f, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(35)\/sqrt(5) + 3 + 1)**2.\nAnswer: 8*sqrt(7) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 9 = -2*k, -2*h + 0*h = 4*k - 6. Suppose -l = k*c - 14, -c = -0*l - 2*l - 7. Solve -c = -2*s + 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3555 is divided by 148?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*i + 2*i = 45*i - 147. Solve 3*j - 12 = -i*y, -4*y - 12 = -5*j - 19 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1*2\/(-20)*6. Let r = 7 - 10. Sort v, -1, r in descending order.\nAnswer: v, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 - 3\/1 - (3 + 4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 488\/(-22)*175\/2. Let p = 3889\/2 + w. Find the common denominator of p and 8 + -13 + 206\/36.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -m**3 + 54*m**2 - 644*m - 142. Determine n(36).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/((-4)\/(32\/40))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -1050 (base 7) in base 3?\nAnswer: -112000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -l**4 + l**2 - l + 1. Let a(k) = 12*k**3 - 64*k**2 - k + 1. Let n(m) = -2*a(m) + 2*c(m). Find the third derivative of n(i) wrt i.\nAnswer: -48*i - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1 + -4101042?\nAnswer: -4101043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 70 - 68. What is the first derivative of -x**2 + 49 + 76*x**2 - 19*x**s wrt x?\nAnswer: 112*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -4 and -1.4?\nAnswer: 5.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5664.035 + -5646. Let n = c + -18. Round n to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(156) + sqrt(156) + sqrt(156) + 1*sqrt(156)*5)\/sqrt(12)*-2.\nAnswer: -16*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 12 = 4*k, -12*q + 10 = 5*k - 17*q. What is the remainder when 2092 is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 874578 a multiple of 236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 2, 4, -48, 5 in decreasing order.\nAnswer: 5, 4, 2, -4, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 2*y**4 + 7*y**3 - 55*y + 5. Let h(w) = -2*w**4 - 7*w**3 + 56*w - 6. Let f(j) = -3*h(j) - 4*n(j). Find the second derivative of f(i) wrt i.\nAnswer: -24*i**2 - 42*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(8)\/(sqrt(4) - -6*sqrt(12)\/sqrt(3)) + ((-4 + sqrt(8)\/sqrt(4) - sqrt(2))**2 - (sqrt(2) + (sqrt(24) - -1*sqrt(24))\/sqrt(12))))*-2.\nAnswer: -32 + 40*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -19*r - 54. Let q be a(-2). Let y(m) = m**3 + 17*m**2 + 21*m + 83. Give y(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2 + 1001221101021020?\nAnswer: 1001221101021011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -2*f. Let s(d) = -56*d - 3. Let h(y) = 14*y + 1. Let i(q) = -9*h(q) - 2*s(q). Let w(a) = -13*a - 4. Let o(b) = -4*i(b) + 3*w(b). What is o(z(u))?\nAnswer: -34*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2*((-6)\/(-4))\/1. Suppose -u + z*l + 2 = -12, 3*u - 3*l - 18 = 0. Find the third derivative of a**4 - a - 2*a**u + a wrt a.\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -331c6b5 (base 13) in base 12?\nAnswer: -52a8b35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1524 - 1501. Solve -2*w + o*w - 42 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1951.\nAnswer: 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6 and 142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 34267 is divided by 11173?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + z = 2, 2 = -k - z - z. Let t(a) = -3*a - 5 + 1 - 2. Let s(i) = 2*i + 3. Let l(j) = k*t(j) + 11*s(j). Differentiate l(c) wrt c.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 + 5 - 1 + 19*g - 9 to the form n + p*g and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9\/(-15) - ((-189)\/2520)\/(66\/568).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 1, s: 4, u: 3, q: 1, h: 7, m: 2}. What is prob of sequence shhu?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 678*i - 17176. What is a(22)?\nAnswer: -2260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 177?  (a) 2\/31  (b) -4\/5  (c) 5  (d) -17  (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.1, 0.5, 2\/19, -3, -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 64 or 63?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -m**4 - m**3 + m + 1. Let d(g) = -g**4 - 3*g**3 - 4*g**2 + 32*g - 4. Let t(h) = d(h) - 3*u(h). Find the second derivative of t(r) wrt r.\nAnswer: 24*r**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -3*t + 1. Let h be a(-4). Let w be 1\/(-2) + h\/26. Suppose -5*r + 4*b + 92 = -w*r, -2*b = 6. Does 10 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 44 + -40. What is the third biggest value in -2, r, -1\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 660494 is divided by 286.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 36 + -24. Let l be d\/(-21) + (-3 - (-190)\/14). Solve -5*g = -l*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -53055*y + 477455. Determine g(9).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*s**2 + 46*s**2 + 15 + 114*s**2 - 8 - 7.\nAnswer: 149*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(392) + sqrt(392))**2.\nAnswer: 1568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Total of -3 and 0.386.\nAnswer: -2.614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/22 - (1424\/88 - 23)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -h**3 - 3*h**2 + h - 9. Let y be x(-5). Solve 4*a = -5*k - y, 5*a + 2*k = 4*k - 12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve h + 4 = -q, 19 = -4*h - 641*q + 640*q for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 180489?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2415 in 3, 4, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -1.02, 6\/7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fq when two letters picked without replacement from {f: 5, q: 5}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (105\/(-420))\/((6\/15)\/((-6)\/(-5)))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 940799 - 3?\nAnswer: 940796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*t**4*u**2 + 949*t**4 + 14*t*u**2 - 17*t*u + 2 wrt t?\nAnswer: 24*t**2*u**2 + 11388*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-992)\/6698 + (98\/(-34) - -3). Is -1 at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate m*r**3*w + 5*m*r*w**3 - m*r*w**2 - 2*r**3*w**2 - 1537*r**2*w**3 wrt m.\nAnswer: r**3*w + 5*r*w**3 - r*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12583 is divided by 523?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*t - 1788 + 1720. Is t at most as big as 66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 226180 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: Simplify ((v**(-22)\/v)\/v)\/((v**(1\/9)\/v)\/v) assuming v is positive.\nAnswer: v**(-199\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 147, 406, 835, 1434, 2203?\nAnswer: 3142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 - 4*a**3 + 2*a**3 + 5.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 + 7*p**2 - 1286*p**3 - 473*p**3 - 181*p**3 - p - 8*p**2 in the form b*p**3 + k + s*p**2 + d*p and give b.\nAnswer: -1940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1431 and 36.\nAnswer: 5724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6128 = 6*p - 349*p + 16418 for p.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -o + 25*v - 23*v + 552, -o + 544 = -4*v. Calculate the highest common divisor of 20 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-650)\/(-34) - (-10)\/(-85). Let q(s) = -5*s - c - 8*s - 2*s - 4*s. Is q(-3) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -1099*t**3 + 2*t + 2. Let p(l) = 8787*l**3 - 17*l - 17. Calculate -51*j(y) - 6*p(y).\nAnswer: 3327*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3 + 8. Let j(d) = 36*d**2 + 32*d + 32. Let a(f) = 9*f**2 + 8*f + 8. Let r(v) = 9*a(v) - 2*j(v). Let z be r(-1). Solve p*y - z = 2*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (3 - (-14)\/(-5))*-1*(-2 + -1)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1471 is divided by 92?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = 19*a - 18*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) be the second derivative of s**7\/21 + s**5\/20 - 7*s**4\/12 + 2*s**3\/3 - 4*s. What is the third derivative of o(w) wrt w?\nAnswer: 120*w**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 3*z**3 - z**2 + z - 1. Let k be m(1). Suppose y = -k*y + 9. Differentiate -2 + 3*l**4 + 2 + y with respect to l.\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 32 - 65 + 31 + 2*j + (-j + 0 + 0)*(4 - 2 - 1).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 0*4.790191\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -14 - -14.5. Let o = 0.2 - 2.2. Let z = 1 - o. Which is the third smallest value?  (a) 5  (b) z  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 - 1 - 3)*(3*t - 5*t + 0*t) + t + 4*t - 3*t + 4*t - t - 2*t - 144 + 53*t + 144)*(-1 + 5 - 2).\nAnswer: 124*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 9000, -1, 1, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 1411 - 19577 = 0. Suppose r = 4*f + o, -4*r - 7016 = -3*f + 7*f. Round f to the nearest 100.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*t = -8*t + 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*a - 10 + 28 = 0. Suppose -u + a = -14. Solve u = 5*s - 8 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 75937 a multiple of 189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -o**2 - 6*o + 7. Let q be p(-7). Suppose 3*y + 0*a = 4*a + 3, -2*y + 2*a + 2 = q. Let x = 47\/45 - 13\/9. Are x and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 87932 and 46932548?\nAnswer: 4628","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by 3068.\nAnswer: 5\/3068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 3*u - 51. Let o(c) = -2*c - 1. What is -2*d(h) - 4*o(h)?\nAnswer: 2*h + 106","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 3120487615 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 7 - 2. Suppose x - 4*k = -12, i*x + 5*k - 15 = 6*x. Which is the smallest value?  (a) x  (b) 1  (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s + 37 = 4*s + f, 3*s = 2*f + 36. Let b(i) = 4*i + 9. What is the tens digit of b(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 912*n + 3702. Calculate w(-4).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 158 and 361030.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1220 + -1100?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u = 10 + 10. Suppose -l - j + 3 = -0*j, -4*j - 13 = -l. Suppose 2*o + u*f = 22, l - 3 = f. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) be the first derivative of -4609*j**4\/2 + 2*j**3\/3 - 2*j**2 + 2. Let a be x(-4). Round a to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 25 + 0. Let f be 1 - (1 - (2 + -2)) - -2. Suppose 0 = -f*q + 7*q - 1375. Calculate the greatest common divisor of s and q.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1999177 to the nearest integer?\nAnswer: 1414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 44 minutes after 10:37 PM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11106 (base 7) to base 4.\nAnswer: 223233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (13\/39)\/((-2)\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 530*j**2 - 6 + 528*j**2.\nAnswer: -2*j**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 194815 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: -5.1 * 0.33\nAnswer: -1.683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -144*r - 164 - 388 = -6*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 24*j**5 + 2*j + 133?\nAnswer: 480*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1.7992, 9, -1, 0, 71, 0.5.\nAnswer: -1.7992, -1, 0, 0.5, 9, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16 - (4 - (7 - 9) - 12).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -120332300100 + -323?\nAnswer: -120332301023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -927 + 926. Let l(q) = -q + 6. Let i(d) = -1. Calculate v*l(j) - 2*i(j).\nAnswer: j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (5 + 2*114\/(-48))\/1. Which is smaller: u or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1763?\nAnswer: 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 149718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 156 + 6*j + 2*j + 9*j**3 - 4*j**2 - 3*j - 161. Let w(f) = -14*f**3 + 6*f**2 - 8*f + 8. Give -8*k(p) - 5*w(p).\nAnswer: -2*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) be the first derivative of -b**3\/3 + 39*b**2\/2 - 20*b + 10. Let n be q(19). What is the highest common factor of n and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l - 23 = -a, 141*l = 137*l + 4 for a.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 864 divide 874383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) be the first derivative of 2*i**3 + 22659. Let h(r) = 2*r + 0*r - 3*r. Calculate d(h(t)).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(130) - (sqrt(130)*2 + sqrt(130)))\/sqrt(10) - (sqrt(91)*3)\/sqrt(7) - (-3 + (-4*sqrt(1872) - sqrt(1872)))**2*-5.\nAnswer: 1795*sqrt(13) + 234045","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 6\/(-26)*-1*(-14)\/28\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -21, 106, -2, -1952, 3 in increasing order.\nAnswer: -1952, -21, -3, -2, 3, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*b**2 - 6*b**2 + b**2 + (2 - 3 + 0)*(-4*b**2 + 0*b**2 + b**2).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = b**3 + 7*b**2 + 7*b + 3. Let q be n(-6). Which is smaller: q or 6?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31471*l + 31471*l - 144941*l**2 + 20690*l**2.\nAnswer: -124251*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.713 to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -6*w + 3. Let l(i) be the third derivative of -i**3\/6 + 5*i**2 - 156*i - 2. Give 2*l(k) + t(k).\nAnswer: -6*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 19019940 divided by -218620?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 84 by -84.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) be the first derivative of -q**6\/15 + q**4\/3 - q**2 + 51*q + 49. Let p(t) be the first derivative of j(t). Solve p(i) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7031 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: Suppose -5*w + 19*p = 18*p - 7361, 3*p = -3. Is 1470 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y - 7 = -4*n, -19*n + 24*n = 4*y + 17 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) be the first derivative of 0*a - 1\/4*a**4 - 2*a**2 + 4\/3*a**3 + 1. Calculate l(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -324402202 (base 5) to base 10\nAnswer: -1403427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 99\/2*y - 1\/6*y**3 + 2299\/6 - 1\/2*y**2.\nAnswer: -(y - 19)*(y + 11)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 3, v: 2}. Give prob of sequence vv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4350 + 4350.3. What is the closest to -1 in 32, p, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -0.1, -56, -2\/653, 3, -5 in decreasing order.\nAnswer: 3, 1, -2\/653, -0.1, -5, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -442546 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0  (b) 1\/2  (c) 2\/13  (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -8*3\/9*12\/(-32). Let r be (p - -2) + 0 + 1. Solve -3*j + g - 5 = 0, 3*g = -g - r for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:21 PM and 6:11 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = v**2. Let o(c) be the first derivative of -7*c**3\/3 + 17. Give t(o(p)).\nAnswer: 49*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l - 272 = -2*l. Suppose -7*m + 17 = -6*m. What is the greatest common divisor of m and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16342999117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-3*((0 + sqrt(1377))*4 - (sqrt(1377)*2 + 2)) + (sqrt(1377) - (2 + sqrt(1377) + sqrt(1377)*-3) - sqrt(1377) - (sqrt(1377) + sqrt(1377)*-1 + 3)))**2.\nAnswer: -432*sqrt(17) + 132198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -19229104*u**3 + 144423*u**2 + 10*u wrt u?\nAnswer: -115374624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m**(-1\/4)*m*m)**36*m**(-2\/5)*m**(1\/9) assuming m is positive.\nAnswer: m**(4442\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nt when two letters picked without replacement from jnjjnjjjjjinnnjntjj?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = v**3 + v**2 - 5*v - 7. Let g be y(-3). Let p be -2 + (667\/5 - (-4)\/g). Let z = p + -81. Is 6 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:37 PM and 4:49 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3 - -3. Suppose 2*s + m + 176 = d, -3*s + 88 = -4*s - 4*m. Let j = -282 + s. What is j rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-3\/4)*i**(7\/3))\/(i**(2\/9)\/(i\/(i**(-5\/3)*i*i))))**18 assuming i is positive.\nAnswer: i**(73\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2372914 and 33578?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -m**3 - m**2 - m + 14. Let n = 11 + -11. What is the lowest common multiple of x(n) and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) be the first derivative of 7*c**6\/30 + 7*c**3\/6 - 9*c + 1. Let l(f) be the first derivative of z(f). What is the second derivative of l(u) wrt u?\nAnswer: 84*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 502505 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-852)\/(-15)*-71)\/(2\/(-230)). Suppose -8*n + 384228 = -u. Round n to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -23*i - 8. Let y(c) = -2 + 2 + 5 + 15*c. Let d be -5 - (81\/(-405) - -2*(-2)\/(-20)). Give d*z(p) - 8*y(p).\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -425110, -850231, -1275366, -1700521, -2125702?\nAnswer: -2550915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -41*m**2 + 9*m - 2. Determine y(2).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 450537 and 158?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 70336536 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j - 3 = 2*w + 3, 0 = 5*w + j - 21. Suppose -w*l + 9 = -2*l. Let u = -15 + 39. Calculate the highest common factor of l and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 572677123 and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3780 and 159705.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-80)\/(-32) - (1 + 14737\/(-2)).\nAnswer: 2, 5, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4884 - 4645. Suppose 2*j - 3*j = -48. Calculate the remainder when p is divided by j.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 25, 37, 49?\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u\/(((u\/(u**(-1\/3)\/u))\/u*u)\/u))**(1\/25))**(-15\/2)\/((u**(-1\/4)\/u*u)\/u**(-1\/2))**(-2\/9) assuming u is positive.\nAnswer: u**(-13\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 46439?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -143\/42 and -37\/48704.\nAnswer: 1022784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -63 + -850053798\nAnswer: -850053861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vvssrsvss. Give prob of sequence ss.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xnxxxxxxxnnnxxnxxxxx.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.2 + -0.6. Let t = 55 - 113\/2. What is the biggest value in 0.1, f, t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 40\/125253579 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dddd when four letters picked without replacement from dddddddddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 93406.57 micrometers?\nAnswer: 93.40657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 1\/5, -77286, 1, -0.5, 6\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1683381041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pprr when four letters picked without replacement from pppprppppppprppr.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:09 AM and 3:14 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 22, 4, -30, -26, -1 in descending order.\nAnswer: 22, 4, -1, -26, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3*(-24)\/(-270))\/((-120)\/(-36)).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -548393982 by 1.\nAnswer: -548393982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 21*i - 1. Let d = 10 + -12. Let y(g) be the first derivative of -2*g**2 - 2744. What is d*q(m) - 11*y(m)?\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 3\/(-30) - 830\/(-175) and 17\/552.\nAnswer: 3864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 844221.3 tonnes to milligrams.\nAnswer: 844221300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 110321 (base 4) to base 8\nAnswer: 2471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23 = m - 10. Let w = 34 - m. Let y be 2\/w*(-2 + (-36)\/(-15)). Are y and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 100*t**3 - 4890*t**2 - 8587359*t\/4 + 163737639 = 0. What is t?\nAnswer: -156, 2049\/20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 309 + 240 - 643 = 771*h + 1448 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 2 g when three letters picked without replacement from {s: 1, g: 17}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -188 + 188. Suppose o = 13*s + 3*s - 576. Calculate the least common multiple of s and 30.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 415755?\nAnswer: 3, 5, 9239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 0.51 * 123\nAnswer: 62.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 170 = -15*i + 65 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -350 + 965*o + 855*o - 140*o - 826 - 58*o wrt o?\nAnswer: 1622","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1200 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 9 - 7. Solve 0*d = o*d + 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 437 is divided by 88?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 40 - 60. Is 16 a factor of (-19 - (-2 + -1))\/(4\/c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 271400 rounded to the nearest ten thousand?\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) be the third derivative of l**5\/20 - l**2. Let k(y) = 71*y + 22. Let o be k(2). Let t(v) = 164 + 0*v - o - v. What is t(u(i))?\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 49*o + 287. Give h(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 114 by 371.\nAnswer: 114\/371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2.7?  (a) 0.5  (b) -5  (c) -10\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/4, -6, 10.2, 0, -4 in increasing order.\nAnswer: -6, -4, 0, 1\/4, 10.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2171322\/433 or -5016?\nAnswer: -5016","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.4*1.39.\nAnswer: -0.556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 3 - 7 - 6*h - 4*h**2 + h**3 + 2. What is s(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aaammamammam. Give prob of picking 2 m and 1 a.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 11 and 782.\nAnswer: 8602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*s - d - 103275, 0 = -5*s + 197*d - 202*d + 129075. What are the prime factors of s?\nAnswer: 2, 3, 13, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7894363 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1170*n = -456*n - 641*n + 251656 - 34024 for n.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*-2*-2*sqrt(77))\/(sqrt(175)*-2 - (sqrt(1008) + -1*sqrt(1008))).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -l + 20. What is the remainder when 39 is divided by s(12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -439.1 * -0.4.\nAnswer: 175.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 29\/25370 and 22\/65?\nAnswer: 329810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*y + 46 = 11. Suppose 2*r - 66 = -5*x, 3*r - y*x - 18 = 2*r. Let h = r - 21. What is h rounded to 0 decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 185\/74*3\/15*-8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 55477043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -j**3 - 12*j**2 + 15*j + 12. Let y be o(-13). Let m be 2*(3 + 38\/y). What is the nearest to m in -3\/7, 2, -2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 9 = 5*j. Let s = -1 + j. Suppose -3267202 + 19867202 = -s*v. What is v rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 13*i**2 + 3*i + 7. List the prime factors of w(-3).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g**3 - 318*g**2 - 33201*g - 32882 = 0. Calculate g.\nAnswer: -82, -1, 401","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 4 + 0)*(-16 - 10 - 1)*(-28*v - 35048 + 35048) in the form m*v + y and give m.\nAnswer: -1512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 4*r = 304 + 36, 4*c = 3*r + 273. Calculate the highest common divisor of c and 396.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (62 - 140 - -96) + 44 + 1?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 47*i - 31*i + 16 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 673*w - 692*w + 342 = 0 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in -35\/16, -0.5, -0.4, -310?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.05326 - -0.53116. Let w = 0.47 - i. What is w rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*m + 3*m + m**2)*(-2 + 2 + 4)*(-1300 + 251 + 3837 - 3636 + 11908).\nAnswer: 44240*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.208 - 25.108. Let x = -24.4 - r. Let c be 0\/(-2) + 2\/(-5). Is x less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 917 - 917 - 19*w**3 + 6*w**3.\nAnswer: -13*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -59*n - 5 = -54*n. Let z be n\/5 - 10\/(-5). Factor -z*h**2 - 36\/5*h + 3*h**3 - 12\/5.\nAnswer: 3*(h - 2)*(h + 1)*(5*h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 3520212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: ((-60)\/(210\/(-14)))\/((-5)\/(-1)*4\/(-4))\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10 = x - 0*w - 3*w, -x = -w - 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 6\/9*(-582)\/4*-2. Suppose 2*l = p + 22. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000007976 to 7 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5407 - 5347. Calculate the smallest common multiple of m and 1510.\nAnswer: 9060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -10, -39, -102, -205, -354, -555, -814?\n\"Answer: -h**3 - 11*h**2 + 11*h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*r + 2*w + 48568, -7*r + 22*w = 19*w - 170004. What is the greatest common factor of 184 and r?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 43, 4, -2\/515, -0.11.\nAnswer: -0.11, -2\/515, 4, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -24610.847 to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-7 - -6)\/((-4)\/936)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 - (10 + (-3 - -2) - (-34 - -52))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 129 + -111 - 22\/(2420\/1950)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -561 = -2*t - k, 4*t - 4*k = -0*t + 1116. Is 20 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4153638.3 days in weeks?\nAnswer: 593376.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 45, 306, 1011, 2382, 4641, 8010, 12711?\nAnswer: 18966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -45*-1.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.152845 + 0.282566. Let o = -0.108547 - y. Let m = o + 0.239. Round m to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 12 = -0. Suppose 12 = -4*w + 7*w. Solve 1 = -h + 3*r, 5*r + n = w*h - 7 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -2\/11, 9, 0.3, 76, -0.2?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -578744*-3\nAnswer: 1736232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -22*k*t + 1763105*k - 345945*t - 4 wrt t.\nAnswer: -22*k - 345945","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -218*w = j - 221*w + 8, 5*w - 8 = -j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 46 and 452134?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (-700 - -665) + (-8919)\/(-255)\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2.64*0.3.\nAnswer: 0.792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (-37*q - 32*q - 8 + 76*q)*(8*q - 4*q + 2*q) in the form s*q + c + b*q**2 and give b.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -n**2 + 32*n - 152. Let l be i(6). Find f, given that 0*f - 7\/5*f**3 - 4\/5*f**2 + 1\/5*f**5 + 0 - 2\/5*f**l = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/2*-6*9*(-3)\/(-198).\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u = 8*k - 4*k - 2, 3*k - 3*u = 0. Let v = k - -8. Solve -p + 10 = -v*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v + 3550 = 4*d + 3570, -2*d + 4 = -5*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-70)\/(-42))\/((-82)\/72 - -1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 61355376?\nAnswer: 2, 3, 227, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/(-2 - 64\/(-30)). Solve -6*o + 4*o = -10, -x = 5*z + 2*o for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.029 times -0.02?\nAnswer: 0.00058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*6*1*(sqrt(832) + 1 - sqrt(832))*-1*-3)**2.\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -30, -1, -9, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -76025910, -76025913, -76025918, -76025925, -76025934?\nAnswer: -76025945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Are 20 and 14 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 1 = n, -n = -b - 3*b - 1. Let z(f) be the second derivative of -1\/2*f**3 - f + 0*f**2 + b. What is z(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, v: 1, p: 1}. What is prob of sequence pu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = n**2 - 847*n + 1720. Let x(r) = 4*r**2 - 4236*r + 8600. Let p(y) = 24*l(y) - 5*x(y). Solve p(j) = 0 for j.\nAnswer: -215, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + 2*w = 24, -w - 16 = -2*c - 3*w. Calculate the lowest common multiple of c and 10\/4 + 1\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -175 - -1223\/7. Which is the closest to k?  (a) -3\/4  (b) -3  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 1 = -4*g - 7, -8*x - 5*g = 10. Factor 0*q**4 - 2\/3*q**2 + x - q**3 + 0*q + 1\/3*q**5.\nAnswer: q**2*(q - 2)*(q + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18957042 is divided by 3791402?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -222, -454, -674, -882, -1078?\n\"Answer: 6*q**2 - 250*q + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 0.54  (b) -2  (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 + c - 3 + (5*c + c - 4*c)*(21 + 54 + 3))*(0*c - c - c) as z*c + d + o*c**2 and give o.\nAnswer: -314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -50 - -48. Sort s, 2, -14 in ascending order.\nAnswer: -14, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 165*r**3 + 58*r**3 - 50*r + 119*r**3 - 18*r**3.\nAnswer: 324*r**3 - 50*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 288363 is divided by 22180?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 0.2379 times 250576\nAnswer: 59612.0304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.06?  (a) 4  (b) -0.3  (c) -37  (d) 10  (e) -1\/33\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -55*s + 60*s - 3*m - 25, -s - 6*m = -38 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.37 - -4.23. Let z = l - 4.5. What is the closest to z in -0.07, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 134741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 0*c**2 - 154*c + 7*c**2 - 4 - 76*c + 232*c. Let l(t) = 20*t**2 + 6*t - 12. What is -3*l(m) + 8*o(m)?\nAnswer: -4*m**2 - 2*m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 110000 (base 2) to base 3.\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3 - -3.06. Let j = -63282735\/322 - -196530. Let v = 9\/46 - j. Sort f, v, -3\/2 in ascending order.\nAnswer: -3\/2, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -28521 divided by -199.\nAnswer: 28521\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*t = -45*t - 172 - 78 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 20\/21 + 10\/(-35). Let a = -5322 + 5322.2. Put a, 0.05, z, -0.3 in descending order.\nAnswer: z, a, 0.05, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*g + 2*g + g)*(-61 + 39*g**2 + 61).\nAnswer: 351*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -140 + 224. Let q = t - -108. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 141979.\nAnswer: 23, 6173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y and 1 m when three letters picked without replacement from ymymyyymymymyyyymmy.\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 127637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 5 + 13726441?\nAnswer: 13726446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1881\/627 + (108890\/7 - 2\/(-7)).\nAnswer: 15559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 36378494.\nAnswer: 2, 18189247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 78091090.\nAnswer: 2, 5, 7, 11, 37, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -13.3 - -6.3. Is -5 less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34 = -3*m + 94. Suppose 4*b + m = 2*v, -2*b - 3*b - 25 = -5*v. Which is greater: 3\/148 or v?\nAnswer: 3\/148","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-4)\/(-6))\/(24\/(-684)). Let d = p + 21. Let a = -7.4 - -7. What is the closest to 0 in a, d, 3\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 228*w = 254*w - 26 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 49852446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1727789 and 1813.\nAnswer: 1727789","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 14684123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -97 - -145. Let f = -53.8 + h. Let m = 0.8 + f. What is the nearest to 0 in m, 3, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 54\/5 of a millennium in years?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/(k\/k**(4\/7)))**(6\/41))**18 assuming k is positive.\nAnswer: k**(432\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 5\/(100\/30) + (-5)\/(-2). Solve 8 = z*f - 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 483 and 1155819.\nAnswer: 1155819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -137 - 3?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 plus 63198347586?\nAnswer: 63198347590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j**3 + 7610*j**2 = 0. What is j?\nAnswer: 0, 1522","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 3*v = -175, -2*j = -3*v - 108 - 61. Suppose 84 = -10*p - j. Let f(h) = -2*h + 40. What is the remainder when f(p) is divided by 28?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -f + 26. Let a be (-55)\/(-9) - (56\/36)\/14. Let q be b(a). Solve -3*z - 2*z = q for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 1 - f)*(f**3 + 0*f**3 + 0*f**3) - 4*f**4 + 117*f**4 + 28*f**4 to the form j*f**3 + l*f**2 + g*f + a + k*f**4 and give k.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = f + 9. Let r be w(-7). Suppose 2*q - 6 = -0*k + 2*k, 12 = r*q - 5*k. Which is the second smallest value?  (a) 0.1  (b) -4  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -15, 3, 6 in decreasing order.\nAnswer: 6, 3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, -4, -1\/7, 620, 5 in ascending order.\nAnswer: -4, -1\/7, 0.1, 5, 620","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-434)\/6)\/(0 + (-7)\/(-21)). Let i = 202 + m. Let c(x) = 4*x**2 + 3*x. Let q(o) = -o**2 - o. What is i*q(z) - 5*c(z)?\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 24271?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 11 * 2692699\nAnswer: 29619689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 2*v = -5, -5*k + 2*v = 7*v + 25. Let h be ((-3)\/(-6))\/(1\/(-48)). Let g = k - h. Is g a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u, 1 r, and 2 z when four letters picked without replacement from {u: 1, r: 3, z: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b and 2 h when four letters picked without replacement from bbbbhhbhbhbbhbhhhh.\nAnswer: 36\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1224014?\nAnswer: 2, 11, 23, 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*g + 2*g + 2*g)*((0*g + 7*g - 3*g)*(5 - 2 - 2) + 3 - 2 + 5 + 3*g) to the form x + p*g + b*g**2 and give b.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 890, -2, 7, -3, 0, -4 in decreasing order.\nAnswer: 890, 7, 0, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 8147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hmmmmjmhhqmqmqqqmmj. What is prob of sequence jm?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*h - 9 = -26*h. Suppose -i - 10 = 2*y + h*y, 2*i + 8 = -4*y. Find the third derivative of i*t**5 - t**2 + 0*t**5 + t**5 - t**2 wrt t.\nAnswer: 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*k - 2*k - 25. Let t(w) = -w**3 - 39*w**2 - 16*w + 842. Let f be t(-38). Solve f*z + k = -25 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2561468 a multiple of 217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 359*w - 528 + 157 = 5373 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = -w - 2*o, 8*o + 18 = -2*w + 5*o. Let l(a) = 17*a**3 - 11*a**2 + 5*a + 7. Let t(m) = -8*m**3 + 5*m**2 - 2*m - 3. Determine w*l(k) - 7*t(k).\nAnswer: 5*k**3 - 2*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.2, 2, 44, 178580?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 6\/613 in -1\/7, -3, 6\/73?\nAnswer: 6\/73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 128 divide 238080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1149 + 1150. Let c(t) = -t + 6*t - 5*t + t. Let i(x) be the first derivative of -x**3\/3 - 5*x**2\/2 - x + 19. Give w*i(p) + 4*c(p).\nAnswer: -p**2 - p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -14 * 1254\nAnswer: -17556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(91)*2*4 - sqrt(91))*6)\/(sqrt(56)\/(sqrt(8)*-2 + sqrt(8)) + (sqrt(7) - -1*sqrt(63))).\nAnswer: 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -655 + -0.0901671.\nAnswer: -655.0901671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 14*s - 5*s + 5*s. Let h be (-1 + -1 + 4)*4\/(-8). Let z(v) = v**2 + 1. Let g(b) = -3*b**2 - 5. Let p(u) = h*g(u) - 5*z(u). Determine p(t(f)).\nAnswer: -392*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + 4*sqrt(1008)*1.\nAnswer: 1 + 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/27)\/(24\/2592)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 38055619?\nAnswer: 7, 223, 24379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 16 + -15.7. Let k = z - -3.7. Let p = 0.2 + -1.2. Are p and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 7*l + 15. Let r(v) = 14*v + 28. Let a(t) = 5*h(t) - 3*r(t). Let c be a(-2). Solve 2*q + c*i + 5 = -6, 0 = -q - i - 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) 0.027  (b) -5  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) be the first derivative of -x**2\/2 - 461. Let p(l) = 3*l. Let d = -7 + 3. Calculate d*p(h) - 15*k(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -222 - ((0 - 0) + 1 + -2). Let h = -889\/4 - u. Let i = -0.9 + 1. Sort h, i, 0.5 in descending order.\nAnswer: 0.5, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*x - 5*g + 386 = -3*g - 94, 3*x + 60 = -2*g for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(165)\/sqrt(3)*2 - -1*sqrt(55)*-4)\/(-1*sqrt(275)*2).\nAnswer: sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*2*sqrt(7) + -5 + sqrt(7)*1)*-2*6)**2.\nAnswer: 4320*sqrt(7) + 12672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -60b (base 12) to base 15\nAnswer: -3d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) be the first derivative of -7*a**3\/6 - a**2\/2 - 3*a + 3. Let h(p) be the first derivative of y(p). Let n(u) = u - 7. Let v be n(8). Calculate h(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 2816  (b) -3  (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + (3\/(-2))\/((-4)\/(-8))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -g**2 - g**2 + g**2 + (2*g + g - g)*(-g - 2*g + 5*g) - 3*g**2 + 3*g**2 - g**2 + (g + g - 4*g)*(-2*g + 3*g + g).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = u**2 - 13*u - 20. What is w(13)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 13\/115 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + -4*3*(sqrt(176)*-1*5 - 2*(sqrt(176) + -1)))**2 + 4.\nAnswer: -16800*sqrt(11) + 1242485","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7 - -13. Let i(g) = -19*g**2 - 723*g - 3982. What is the remainder when i(-7) is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -34227000 to the nearest 1000000.\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 62013 bigger than 62010?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 0.03, -0.1, 1869?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -14 + 14. Suppose 0 = -v*b + 2*b - 30. Does 7 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3447 and 18.\nAnswer: -62046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2304?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -c**3 + 8*c**2 + 118*c - 60. Determine o(15).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3522, 5, -0.0146?\nAnswer: -0.0146","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 174 + (-154 - -38) - ((1 - 1) + -2)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 302184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 5*n = 6 + 29, 4*r - 32 = 4*n. Suppose -2*c + 3*m = -3*c + 19, -44 = -4*c - 4*m. Suppose 9*z = c*z + 12. Solve -k + r = -z*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 379, 759, 1139, 1519, 1899, 2279?\nAnswer: 2659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 85 and 40?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 91 times 4?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 15835 and 185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -392 or -1?\nAnswer: -392","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -60, -0.2, 4 in descending order.\nAnswer: 4, -0.2, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4 - 9. Let x = k - -17. Suppose 4*l = -m + 27, 3*m - x = -3*l - 3. Solve -2*f + l = -0*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1997\/4  (b) -86.84  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6104 by 218.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*m**2\/4 - 3*m + 9 = 0. What is m?\nAnswer: -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 4, r: 4, j: 9}. What is prob of sequence jss?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/(j**(-5\/4)\/j))**12\/(j**(2\/7))**38 assuming j is positive.\nAnswer: j**(197\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*j - 10*j - 6*j + 19*j - 459*j**2 to the form a*j + b + f*j**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 926.0313 weeks to nanoseconds.\nAnswer: 560063730240000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 78 and 118?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:19 PM and 3:44 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 112 - -132?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1466 - -1478. What is the greatest common divisor of h and 300?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + 2*m - 48 = -0*u, 0 = -5*u + 4*m + 60. Let z(k) = k**2 - u*k**3 + 22*k**3 + k - 11*k**3. Let p(h) = -2*h**2. What is p(f) + 2*z(f)?\nAnswer: -2*f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/(-6))\/(-294)*4584\/382.\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = -u + 1244, 42*u - 46*u = -p - 4927. Is u a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -182458000 rounded to the nearest 1000000?\nAnswer: -182000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5618, 5617, 5616, 5615, 5614?\nAnswer: 5613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {d: 1, p: 1, h: 2, s: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.007 + 0.093. Let a = 2 - 5. What is the biggest value in -4, y, a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*l + 109 + 106 - 215 + 2*l.\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (3\/3)\/(2\/(-222)*-1). Let l = -98 + r. Let d(u) = -u**2 + 13*u - 2. What is the remainder when d(9) is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30100001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d - d + 6*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z*(z*(z\/(z\/(z**(-5)\/z)))\/z)\/z*z**(-23) assuming z is positive.\nAnswer: z**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1583*w + 864*w + 1526*w + 1582*w + 1769*w to the form n*w + d and give n.\nAnswer: 4158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1907\/7 + -272. Let m = 22.1 - 23.11. Let i = 1.99 - m. What is the third smallest value in z, 4, 2\/3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xvavvxvxvppvvdvpvvv. What is prob of sequence dvav?\nAnswer: 55\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + -3 + 4 + (4 - 10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) be the third derivative of p**8\/84 - 2*p**7\/105 - 7*p**6\/30 + 13*p**5\/15 - p**4 - 3*p**2 - 37. Find u, given that k(u) = 0.\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 51, 158, 341, 606, 959, 1406, 1953, 2606?\n\"Answer: x**3 + 32*x**2 + 4*x + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = -5*v + 16, -3*v + 18 = q - 2*q. Let h(d) = -d**3 - 3*d**2. Let c be h(q). Let r be c\/2 + 10 + 2. Calculate the highest common divisor of 12 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 74.1 - 10.1. Let m = q - 66. Let a = -9.7 - -10. Sort m, a, -9.\nAnswer: -9, m, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 17353 + 13564. What are the prime factors of r?\nAnswer: 43, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -721*z**2 - 290 + z**3 + z + 288 + 553*z**2 to k*z + c*z**2 + f*z**3 + w and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 402853453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = l**3 + 14*l**2 + 12*l - 13. Let z(y) = 3*y**3 + 31*y**2 + 25*y - 26. Let f(b) = 5*m(b) - 2*z(b). Give f(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1062300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 144*q + 9653 = 1301 for q.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-34)\/36)\/((-3)\/1143). Let i = -359 + x. Put 0, i, 4 in ascending order.\nAnswer: 0, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 2, 5, 8, 47\/6, 12, -0.5, 7?\nAnswer: 47\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -500, -544, -596, -656?\nAnswer: -724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b = j - 9*b - 325, 0 = 4*j + b - 1334. Let h = -301 + j. Solve -3*t - h = 5*f, -4*f + 1 = -2*t + 9 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -39*q - 68. What is the units digit of h(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2d278 + 2?\nAnswer: -2d276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 17*t + 6. Let q be l(3). Let p be -2 + 0 + q\/3. Suppose 0 = 2*w - p - 25. What are the prime factors of w?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 17*w + 50333*w**2 - 17*w - 50587*w**2 - 8. Let z(y) = y**2. Give n(z(t)).\nAnswer: -254*t**4 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -m**4 - 199*m**3 + 130*m - 2 wrt m.\nAnswer: -12*m**2 - 1194*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 27786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (49473 - 49473 - 1131*i**2)*(6 + i**2 + i**2 - i**2).\nAnswer: -1131*i**4 - 6786*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 74040 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 57\/2 in -3\/4, 4\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**6*r\/r**0*(r**0)**46 assuming r is positive.\nAnswer: r**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = -4*c - 17, 1 = -4*t - 4*c + 5. Suppose 2*x + 26 = 2*u, t*x - 15 = 4*x + u. Let q be (-50)\/x + 27\/63. Solve q*l = l + 12 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -27.97419268 rounded to the nearest integer?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -3  (b) -2\/13  (c) 29  (d) 0.35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) be the first derivative of -x**2\/2 - 3. Let d(t) = 6*t + 16. Let a(k) = 2*k + 3. Let r(q) = 16*a(q) - 3*d(q). Calculate r(z(g)).\nAnswer: -14*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(-21)*l**(-2\/15) assuming l is positive.\nAnswer: l**(-317\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -714, -1263, -1684, -1977?\nAnswer: -2142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 26 + ((-2 - -7) + -24 - -24)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -179051*w - 1772578 wrt w?\nAnswer: -179051","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) be the second derivative of -1\/140*c**5 - 7*c - 1\/28*c**4 + 3\/14*c**2 + 0 + 1\/42*c**3. What is m in d(m) = 0?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 1102, 1101, 1100, 1099, 1098?\n\"Answer: -y + 1103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-6)\/39 - 62101\/(-507). Let x = r + -123. What is the nearest to x in -5, 0.3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 74 - (219 - 97) - -6?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 6\/(-12) - (0 - 15\/6). Let n(x) = 8*x + 1. Let f be n(m). Suppose -2475 = -f*l + 1095. Calculate the greatest common divisor of 42 and l.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*s + 2*s + 0*s)*(53 + 38*s - 53).\nAnswer: -76*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 25239240 a multiple of 312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (40*h**2 - 40*h**2 + 13*h**3)*(-1 - 3*h + 3*h + 2*h**2).\nAnswer: 26*h**5 - 13*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(-4*-4*(-2*sqrt(343))**2 - ((sqrt(343) - (sqrt(343) - -2*sqrt(343)*-5)) + ((sqrt(343)*1 + sqrt(343))*-6)**2))*-2.\nAnswer: -274400 - 700*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3 - 1. Suppose -v - 7 = -c*v. Suppose 20 = 3*p - v. Round p to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -2*g + 3. Suppose 3*w = g*j - 6*j + 1119, 4*j = 0. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -6, 17415, 4, 5 in decreasing order.\nAnswer: 17415, 5, 4, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0133153182 to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**3\/w**(-5))\/(w\/w**0)**(-17\/6)*w**(-6)\/w**(2\/5)*((w\/w**(1\/2))\/w)**23 assuming w is positive.\nAnswer: w**(-106\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 67308788 to the nearest integer?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 155*y**2 - 10*y + 6. Let b(z) = -78*z**2 + 4*z - 2. What is 5*b(t) + 2*m(t)?\nAnswer: -80*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h**(2\/5)*h**5)\/(h**7*h\/((h\/(h**(-5)\/h))\/h))*((h*h**(-2\/5)\/h)\/h*h*h\/(h\/h**5))\/(h**(-8\/7)\/(h*h\/(h*h**(2\/5)))) assuming h is positive.\nAnswer: h**(376\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*d**2 + 1051 + 18*d**3 - 1051)*(28*d - 74*d - 26*d).\nAnswer: -1296*d**4 + 288*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -75*r - 762 - 256 - 444 = -262 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 80 + u**3 + 2*u - 81 - 14*u**4 + 0*u - u - 2*u**2 as z*u + c*u**2 + j + a*u**3 + y*u**4 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3 + -2. Let x(p) = -p**2 - 6*p - 3. Let w be x(-4). Suppose -3*b - 2 = 4, -b - w = -3*f. Calculate the remainder when f is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 4*b = -20, 0*h + 2*b + 8 = h. Suppose 4*g = -h*w + 40, 2*g + 14 = 5*w - 50. Suppose 0 = -84*v + 82*v + 6. Solve -w + 5 = -v*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2357*o**3 - 2364*o**3 + 9451*o**3 - 2358*o**3 - 2358*o**3.\nAnswer: 14*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*f**2*x**2*z + 3864*f**2*x*z + 7*f*z + f - 117*x**2*z wrt f.\nAnswer: 4*x**2*z + 7728*x*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-28)\/(-2))\/(43 - 41). Let l(b) = -b + 6. Let h be 2\/(-2) + 2 + -5. Let i(z) = -2*z + 11. Give d*l(m) + h*i(m).\nAnswer: m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) be the third derivative of -r**6\/1440 + r**5\/32 + 33*r**3\/2 - 12*r**2 - 5*r. Let x(p) be the first derivative of u(p). Determine m so that x(m) = 0.\nAnswer: 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8544 = -3*p - k - 30451, -4*k = -3*p - 39020. What is p rounded to the nearest 1000?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30*r - 40 - 24 - 43 + 107.\nAnswer: 30*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 4*f**3 + 2*f - 1. Let r = 336 - 329. Let h(p) = r*p - p + 6*p**3 - 4*p - p**3 - 1. Determine 2*h(o) - 3*v(o).\nAnswer: -2*o**3 - 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 o and 1 q when four letters picked without replacement from qiimoisoosi?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -62 - 16. Let d = u + 77. What is the second smallest value in 3, -0.2, d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at most 1\/505641?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -504 + 482. What is the biggest value in 0.08, w, -1\/4?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3\/5?  (a) 2  (b) 0.5  (c) 77342\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = f**3 - 31*f**2 + 31*f - 33. Let w be h(30). Sort 2, 1, w, 10 in decreasing order.\nAnswer: 10, 2, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2513678.\nAnswer: 2, 787, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1)\/((12\/(-51))\/4). Let v(u) = 804*u**2 + u**3 + 5*u - 13 - 2 - 21*u - 820*u**2. Let f be v(t). Solve -r - 7 = -2*h, r = -f*h - r - 8 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2163241?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 111392 is divided by 6213.\nAnswer: 5771","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*c - 16*c**3 + 4*c**3 + c**2 - 2*c**4 - c + 0 + 0 in the form m*c + o*c**4 + n*c**2 + h*c**3 + s and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 333?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*o + 18*o + 21 = 5*x, -2*x = -4*o - 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 12934 and 336284?\nAnswer: 336284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 2, n: 1}. Give prob of picking 1 o and 2 n.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -m**2 - 2*m + 326. Let h be q(-19). Let w(f) be the third derivative of f**6\/120 - f**5\/12 + f**4\/12 + f**3\/3 + f**2. Calculate w(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4\/(-14) - 2\/(-7). Let i be ((-8)\/(-308))\/(137\/(-1507)). Which is the biggest value?  (a) -39  (b) g  (c) i  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 2*j + 21. Let g = -15 - -12. Let o be (9 - g) + 5 + -4. List the prime factors of z(o).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1123601?\nAnswer: 1123601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -359*o - 566*o + 14800 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from huffughuhhoffhfohogh. Give prob of sequence uh.\nAnswer: 21\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*i + 18 = -5*i. Solve -16 = i*j - 2*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-70)\/(-8)*(((-1653)\/145)\/19)\/(-3).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10685027, 10685026, 10685025, 10685024, 10685023?\nAnswer: 10685022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -h**2 - 323149361. Let u(s) = 2*s**2. Give o(u(t)).\nAnswer: -4*t**4 - 323149361","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = q + 9. Let l be p(-5). Suppose l + 8 = o. What is the remainder when 226\/5 + 13*20\/(-1300) is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 361 and 38?\nAnswer: 722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -143 - -1289\/9. What is the fourth smallest value in -5, q, 0.2, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2*s + 2*s + s)*(-s - 3*s + 3*s) + 3*s**2 - s**2 - 4*s**2)*(10 - 14 + 46).\nAnswer: -126*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4 * -67540856.\nAnswer: 270163424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1372250.\nAnswer: 2, 5, 11, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 282657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -5 + 1452125?\nAnswer: 1452120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 3\/2  (b) 2  (c) -0.8  (d) -2  (e) -0.18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 0*f = -3. Suppose -3*j + 23 = -5*q, 5*j - j - 4 = 0. What are the prime factors of (f + -5 + -2)*q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -41*a + 923 - 923.\nAnswer: -41*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4573276 (base 8) to base 11.\nAnswer: -779821","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 18473 (base 11) to base 5\nAnswer: 1311403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1789506.\nAnswer: 2, 3, 31, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6835 - -18665. List the prime factors of n.\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -37726684*p**3 + 111347918*p**2 wrt p.\nAnswer: -226360104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -2436, -304, 3 in descending order.\nAnswer: 3, -304, -2436","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 275 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -18*(0 - 3 - -1). Suppose -3*x - x + y = 0. Let a be 2\/x - (-1205996)\/18. Round a to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 23246 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 10, 21, 32?\n\"Answer: 11*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.2 + -32.8. Let y = o + 32.99955. Round y to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13508*t + 1 - 29612*t + 0 + 8*t**3 - 2*t**2 - 2.\nAnswer: 8*t**3 - 2*t**2 - 43120*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/5, -2, -0.06, -199, -0.14.\nAnswer: -199, -2, -0.14, -0.06, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + 29 = 80. Solve -11*k + w + 27 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1 - -3. Suppose -o*k + 2*m - 4 = 0, -2*m = -2*k + k - 7. Factor 1 - 3\/2*c - c**2 + 3\/2*c**k.\nAnswer: (c - 1)*(c + 1)*(3*c - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -1007670.604 and -0.53163.\nAnswer: -1007671.13563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = -8 - 7, 4*y = -4*m + 52. Suppose 5*k - y = k. Suppose -k*g + 143 = -19. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -9*f**3*r*x - 34*f**3*w*x**2 - f**2*w + 5*f*r*w*x**2 - 5*f*r*w - f*w*x**2 wrt r?\nAnswer: -9*f**3*x + 5*f*w*x**2 - 5*f*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 78 + -74. Solve -i + 5*i - 36 = o*j, 4*i - 16 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -247 + 239.8. Let f = i + 6.2. Is -0.009 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 303 minutes before 12:45 PM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**16\/f**(1\/50))\/(f**9)**(-10\/7) assuming f is positive.\nAnswer: f**(10093\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -112114 = 359*w - 388*w. What is the thousands digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6 - -17) + -4 + (186 - 202)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25*x**3 - 34*x**3 - 21*x**3.\nAnswer: -80*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -47 - -28. Let n = m + 34. Calculate the highest common divisor of n and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(13) + sqrt(13)*-2)*-1 - sqrt(39)\/(sqrt(6)\/sqrt(2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1019032626 and 519.\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/(-2))\/(((-208)\/8)\/(-13)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 67\/654 and 19\/66.\nAnswer: 7194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: ((-44)\/110)\/((-6)\/(-36)*3)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -94 - -97. Let z(i) = i**2 - i + 4. Determine z(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = i**3 - i**2 - i. Let f(y) = -4*y**3 - 4*y**2 - 4*y - 7. Let w(r) = f(r) + 5*z(r). Let u be w(10). Let g = u + 2. Solve -2*v - 12 = -g*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1320 + 1351. Sort 1, 2, x, 5.\nAnswer: 1, 2, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0  (b) 4  (c) -16  (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (50 + 48 + 52 - 1131*a - 150)*(-25*a - 9 - 6 + 14).\nAnswer: 28275*a**2 + 1131*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 20 + -11. Let a(s) = 2. Let g(j) = -j + 9. Determine x*a(h) - 2*g(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 3 + 0)*(-37*z**3 + 954*z - 954*z).\nAnswer: 37*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*c + c - 1 - c + (4 - 18 + 0)*(-4*c + 3*c - c) in the form s*c + z and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 97*f + 1352787 = 100*f + 3*i, 2*f - 4*i - 901822 = 0. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*s - 140 = -42*s. Solve 0 = 3*o + 4 - 16, -5*a + s*o = -2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*p**3 - p**3 + p**3 + (-11*p - 2*p + p)*(-3*p + 2 - 2)*(-34*p + 2*p - 32*p) in the form m*p**3 + a*p**2 + v*p + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 401 minutes before 10:39 AM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/6*-6*403\/(-372)*3\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 38 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-370)\/50 - -10) + ((-22)\/(-5) - 5). Suppose -8 = -5*j + j. Solve -j*q = 2*v - 4, -o*v - 2 = v - q for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -1 + (-483)\/(-297) - 2\/11. Suppose -2*l - l = -24. Suppose -4*i + 4 + l = 0. Which is the biggest value?  (a) i  (b) j  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 21199906 and 27257022.\nAnswer: 190799154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -29 - -407. Does 9 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 5*z**4 + 6*z**2 + 6*z + 11. Let k(y) = -6*y**4 - 5*y**2 - 5*y - 11. Let d(b) = -5*j(b) - 6*k(b). What is the derivative of d(x) wrt x?\nAnswer: 44*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5 - 5 - f - 2*f + 1 - 1 + (-2*f + 1 - 1)*(-3 + 3 - 1) + 1 + 2*f - 1 - 5 + 2*f - 7 - 21.\nAnswer: 3*f - 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5332?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (0 - (2 - 1)) + 4. Suppose x*y + 5*w = 32 - 9, y + 11 = 3*w. Let h = 4 + y. Solve -h*k + 5 = -5*f, -14 = -0*k + 2*k + 2*f for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-10)\/(2 - (-9)\/(-3)). What is the common denominator of 201\/(-8)*6\/9 and ((-8)\/a)\/((-7)\/30)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6 (base 15) to base 6\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*i + 6*i + 2*q + 1450418, 2*q = i + 725197. Let g = -417405 - i. Round g to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 140\/63*((-45)\/(-10))\/1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -12?  (a) -0.5  (b) 0.4  (c) -2122  (d) 3  (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*z = -433 + 457 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2854666 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -d**3 - 28*d**2 + 18*d + 22. Suppose 49 = -j - j + 3*q, 2*q - 52 = 2*j. Let k be h(j). Let t = -226 + k. Is 31 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 26 - -5. Let x(p) = 6 + 2 + o*p + 7 - 32*p. Does 4 divide x(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 165826 divided by 261\nAnswer: 165826\/261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -1376485, -1376482, -1376477, -1376470, -1376461?\n\"Answer: k**2 - 1376486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k = -3*c - 7607, -20*c + 4561 = 3*k - 21*c. List the prime factors of k.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 18646 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 4\/22 - (-442)\/(-561)*-15. Let c(p) = 6*p**2 - p**3 + x*p + 2 + 0*p**2 - p**2 - 2*p**2 - 2*p. Calculate c(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -16*o - 2 + 39*o + 0 - 19*o to the form h*o + a and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*i - 12*i + 5. Let a be ((-255)\/(-14))\/i + 20\/(-8). Determine k so that -6\/7 - 2\/7*k**2 + a*k = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -1099 + 2*x + 1099. Let b(t) = -20*t. Give g(b(l)).\nAnswer: -40*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m\/m**(2\/9)*m\/m**(-9\/5) assuming m is positive.\nAnswer: m**(161\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10 + 3 - (51 - 23)) + 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by 386.\nAnswer: 3\/386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*f = -2*f - 494. Is 1086\/(-4)*f\/(-57) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.1 and 694.\nAnswer: 693.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1519761488 to the power of 1\/3, to the nearest integer?\nAnswer: 1150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -19, -180, 2, 11 in increasing order.\nAnswer: -180, -19, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 5) in base 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/s**(-1\/7))\/s**5)**(-1\/13)\/(s**2\/s**(2\/7)*s**(-3)*s*s**(-1\/2)) assuming s is positive.\nAnswer: s**(197\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -6*x + 2*x. Suppose 2*d + 0 - 12 = -g, 5*g = -x*d + 66. Suppose 3*s + 275 = g*s. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 12*r - 2. Let h be u(2). Let q be 2\/11 + 106\/h. Suppose -6*w = -3*x - 3*w + 15, x + 2*w - 5 = 0. Solve x - 2 = q*z + n, n - 3 = -4*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(432)\/sqrt(144)*-4 + 2.\nAnswer: -4*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4526 - -4644. Solve -i = 5*m - 143 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 5*j**2 + 402*j - 258. Determine h(-81).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/4)\/(2\/8 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) be the first derivative of 19*j**4\/12 + 3*j**2\/2 + j - 21. Let k(p) be the first derivative of b(p). Differentiate k(s) with respect to s.\nAnswer: 38*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -151 at most as big as -152?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 + 9 = -5*a + 3*l, -5*l = 25. Let n be -16 + 14 - (a + -6). Let p be 1*8 - 0\/(-9). Sort p, -2, n in decreasing order.\nAnswer: p, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 968*u**4\/13 - 11137372312*u**3\/13 + 32035392679274162*u**2\/13 + 32035401032303880*u\/13 + 8008850954161800\/13 = 0.\nAnswer: -1\/2, 63280530\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 210.1001 to the nearest ten.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -7\/13 + 29\/78. Does z = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.4 at most -10653?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -r**2 + 20*r - 2. Give m(8).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*g - 2*g + 10, 5*g = 4*d + 1. Let c(h) = -d - 6*h - 11 - 7 - 13*h - h**2. What is the tens digit of c(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 237 divided by -5\nAnswer: -237\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.4 in 0.5, 3\/2, -6\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 26 + -19. Suppose 0 = z*l - l - 90. Let p(v) = -2*v**3 - 17*v**2 - 8*v + 10. Let b be p(-8). What is the highest common factor of l and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -443*d - 374. Let j(z) = -886*z - 753. Let h(a) = 5*j(a) - 11*n(a). What is the first derivative of h(f) wrt f?\nAnswer: 443","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -17 - -25. Let c(k) = -1 - 7 - k + w. Let q(u) = -3*u. Give q(c(p)).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 23804115 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (h + 0 + 0 - h + 3*h + 0*h + (0*h + 2*h - 4*h)*(0 + 4 - 5) + 4 + h - 4 + h + 3*h - 3*h)*(-23 + 38 + 11)*(0 + 5 - 2) - 36*h - 20*h - 17*h.\nAnswer: 473*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 24*h**3 + 901*h**2 + 11*h + 11. Let q(p) = -13*p**3 - 450*p**2 - 6*p - 6. Calculate 6*d(o) + 11*q(o).\nAnswer: o**3 + 456*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -26916917 divided by 5.\nAnswer: -26916917\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*p = 7*p - 28. Let j be -2*2\/p*86. Let n = j + -45. Is n a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -13 + 21. Suppose -10 = -r - 3*n + 16, -n - 52 = -4*r. Calculate the least common multiple of r and o.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 1819 and 94284045.\nAnswer: 94285864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -246 - -279. Calculate the greatest common divisor of u and 528.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r, 1 f, and 1 e when four letters picked without replacement from {r: 7, e: 1, f: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 80935.82 centimeters to nanometers.\nAnswer: 809358200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 288148 to the power of 1\/3, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 476\/42 - (-6)\/9. Is (160\/(-2) + (c - 16))*-3 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -k**3 + 7*k**2 + 8*k - 2. Calculate o(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - g - g - 8 = 0, -2*g = 4*x + 8. Suppose 3*y = 2*y + 5*o + 24, -3*y + 3*o + 24 = 0. Let -2 + 2*h**4 + x*h**3 + 0*h**3 + y*h**3 - 4*h = 0. What is h?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 122 - 101 - 15 - j. What is z(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9117728.\nAnswer: 2, 499, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, -0.5, -2\/519, 5, 4 in decreasing order.\nAnswer: 5, 4, 0.2, -2\/519, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 70*i + 427*i - 719*i - 6741*i in the form a + y*i and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1\/(-4 + 532\/132). Let r = 45 + a. What are the prime factors of r?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*a**2*n - 62*a**2 - 24*a*n**2*t**2 + 3*a*n - t**2 wrt n.\nAnswer: -2*a**2 - 48*a*n*t**2 + 3*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 892079589?\nAnswer: 3, 269, 1105427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -929*t + 278*t + 282*t + 309*t.\nAnswer: -60*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-1)\/(-4*8\/49568)?\nAnswer: 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by -126?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -d**2 - 9*d + 10. Let v be l(-10). Suppose -4*z - z + 15 = v. What is the smallest value in -2, 1, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 3*g + 4*k, 0 = -5*g + 4*k - k + 39. Let y = -2 - -2. Suppose y = -3*v - 4 + 16. Which is smaller: g or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 570 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 547917 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46 - 8 = 2*b. Is b a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 1354, 5401, 12138, 21559, 33658, 48429, 65866?\n\"Answer: -r**3 + 1351*r**2 + r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 21e23 + 7cd?\nAnswer: 22701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.1988 and -1.71.\nAnswer: 0.339948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3 and 4932?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -21, -49, -93, -153, -229?\n\"Answer: -8*s**2 - 4*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -13513, -13512, -13511, -13510?\nAnswer: -13509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -208*n**3 + 3*n**2 + 3. Let o(m) = -208*m**3 + 4*m**2 + 4. Give 3*o(v) - 4*w(v).\nAnswer: 208*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -9794 - -705121\/72. Find the common denominator of m and 41\/27.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*k - 1500331 = -72*k + 12*k. What are the prime factors of k?\nAnswer: 7, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -68*i + 71*i = -85*i + 29 + 323 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 2093, 8279, 18581, 32993, 51509, 74123?\n\"Answer: -f**3 + 2064*f**2 + f + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 6, h: 2, n: 1, o: 3}. Give prob of sequence he.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: ((-10)\/(-378))\/((-46116)\/(-216) + -216)\nAnswer: -2\/189","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 7107463 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-450)\/(-35))\/((-4)\/(-112)). Suppose 0 = -5*x + 2*k - 840, 3*k + j = -2*x - k. Calculate the common denominator of -21\/2 and x\/15*6\/(-40).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -z**2 + 10*z + 14 + 1 + 0*z**2. Suppose 3*x + 3*o = 21, -3*x + 117*o + 13 = 122*o. Let y be j(x). Solve -5*b + 5*l + 24 = -21, 5*l = -y*b - 9 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 337 + -187. Let w be 3396\/(-36) - 1\/(-3). Let x = w + r. Does 16 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7927718441.\nAnswer: 19, 331, 1260569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 1410*b + 1495. Let i(x) = -1409*x - 1469. Let l(d) = 7*i(d) + 6*v(d). What is the derivative of l(g) wrt g?\nAnswer: -1403","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -110003 (base 4) in base 3?\nAnswer: -1202112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -18\/7, 5, 3\/4, -2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3 + (sqrt(275) - sqrt(275)*-1) + sqrt(275) + -2 + -1*sqrt(275) - 6*(sqrt(275) - (-3 + sqrt(275)))*2) + 1 + -5)**2.\nAnswer: -900*sqrt(11) + 3125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -10 - -14. Suppose 0 = q*t - 2*t - 60. Suppose z - 150 = -5*g, -8*z = -g - 5*z + t. What is the highest common divisor of 10 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 292685664 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 69216617 divided by 59\nAnswer: 1173163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -77 - -228. Does 31 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*x + 5*f - 15, 2*f + 18 = -4*x + 5*x. Calculate the remainder when 12 is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -491, -973, -1449, -1919, -2383, -2841?\nAnswer: -3293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 50 divide 1401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(153) + 0 + sqrt(153) + -2 + -4 - ((-1 + sqrt(153) - sqrt(153)) + -1 + sqrt(153) + (sqrt(153) - sqrt(153)*1)*-5)) + -1)**2.\nAnswer: -30*sqrt(17) + 178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -597*v - 2064 - 1518 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 335 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is w in w**4 - 120677*w**3 + 120675*w**2 + 120677*w - 120676 = 0?\nAnswer: -1, 1, 120676","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*i + 5*a - 10 + 1, 11 = 4*i - a. Let y(p) = 5*p**2 + 2*p - 7. List the prime factors of y(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2\/8 + (-11661)\/(-60606). Let v = -5\/148 - q. Find the common denominator of v and -31\/87.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -p**3 + 2*p**2 + 67*p + 41. Let a be g(-7). Suppose -5*n = 5*k + 5, -4*k + 1 = -4*n - 11. Sort 5, k, a, -2 in descending order.\nAnswer: a, 5, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -9, -10, -25, -60, -121, -214, -345?\n\"Answer: -x**3 - x**2 + 9*x - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (412\/(-12) + (-240)\/(-10))\/((-14)\/4) and (109\/9)\/(20\/(-6)).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27371691 plus -0.4?\nAnswer: 27371690.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 0.5  (b) 6  (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -8165 - -4565. Let f be (20380\/60)\/((-4)\/o). What is f rounded to the nearest ten thousand?\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 605 and 968.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/5, 3, 4 in descending order.\nAnswer: 4, 3, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 751 by 20.\nAnswer: 751\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = q**3 - q - 1. Let m be i(2). Suppose 0*j + 3*u = -m*j + 10, 25 = 4*j - u. Solve -j*l = -9 - 11 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -25?  (a) 0.2  (b) 1\/6  (c) 5  (d) 18  (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -251639 - -493020. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = r**3 - 3*r**2 + 3*r - 3. Let u be q(2). What are the prime factors of (-5 - -6) + 10 + u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -741*z**4 - 930?\nAnswer: -2964*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 232765092 a multiple of 294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*((j\/j**(-18)*j)\/j)\/j)\/j*j*j\/(j**0*j) assuming j is positive.\nAnswer: j**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*t - t - t)*((-4 + 3 + 0)*(-2*t + 4*t - t) - 2*t + 0 + 0 - t - 3*t + 2*t - 3*t - t + 5*t).\nAnswer: 28*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zlzqzllll. What is prob of picking 3 l?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -220 (base 3) to base 7\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fz when two letters picked without replacement from fffzfffeffzfff?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = -l + 94. What is the remainder when l is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + 1 - 7 = 0. Let y = o + 41. Suppose 4*z - 441 = y. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4\/(-1)*10\/(-5) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3.7 + -1.3. Suppose -5*s + 2*b - 17 = -0*s, -2*s - 4*b - 2 = 0. What is the third biggest value in u, s, 1\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 3*v**2. Let z(o) = -5*o**2 + 5. Give q(z(u)).\nAnswer: 75*u**4 - 150*u**2 + 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 957, 4885 in decreasing order.\nAnswer: 4885, 957, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 2*a**2 + 3*a - 2. Suppose 5*y = -4*l + 14, 5*y - 8 = 2*y - 2*l. Let z be p(y). Let i = -10 + z. Solve -5*m - 37 = -3*s, i*m + 31 - 9 = 3*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = 2*p + 6. Suppose -5*r = -4*w + 38, 3*r + 28 = p*w - r. Calculate the remainder when (4\/(-8))\/((-1)\/44) is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-12)\/(2 + (-9)\/3). Let n = q + -10. Solve 13 = 5*d - n for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -b**3 - 8*b**2 + 8*b + 1. Let p be r(-9). Suppose -12*j = 17*j. Suppose 5*m + 0 = -5*c - p, j = m - c - 8. Solve m*f = 2*f + 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(567) + 0 + 0 + 0 + sqrt(567))**2 + (2*1*sqrt(567) + sqrt(567) - (0 + ((sqrt(567) - 1*sqrt(567))**2 - sqrt(567)))).\nAnswer: 72*sqrt(7) + 2269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 8256 = 2*l - 3*t, -2*l - 8261 = t. What is l rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (142 + 77 - 55 + 10)*(-2*t + 8*t - 2*t)*(-41 - 4*t + 41) to the form b + p*t + z*t**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -2*g - 4 + 3 + 2. Suppose -r + 1 = -1. Suppose 0 = r*p + 1 + 9. What is z(p)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -326310 by -65262.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (170\/(-24))\/(-17)*(-188)\/1410?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qy when two letters picked without replacement from {n: 2, q: 1, g: 5, y: 1, x: 1}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 6*k**2 + 5*k + 5. What are the prime factors of q(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -2*z, -2*j + 7*z - 2*z + 669 = 0. Let l be (-28)\/j - 71\/(-23). Calculate the highest common factor of 27 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gegeieciieeeck. Give prob of sequence gei.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 53, -14, 0.3, 2\/3, 2\/5?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5*33\/15 - 5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -351*q + 370. Calculate h(1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -3*l. Let v(o) = -18*o. Give v(u(m)).\nAnswer: 54*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = 151 + 23. Is p a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -516, 3\/8, 1, 1\/8 in decreasing order.\nAnswer: 1, 3\/8, 1\/8, -516","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*m - 6*m + 6*m)*(0 + 0 - m) + (m + 0*m + 0*m)*(2*m - 4*m + 3*m) in the form l*m + n*m**2 + x and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 55 a factor of 389837910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -2*c**3 - 6 + 3*c**3 + 2*c**3 + 10*c**2 - 2*c**3. Is y(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-2 + sqrt(34)\/(sqrt(4)\/sqrt(2))) - (-2*-2*sqrt(170))\/sqrt(10)*6.\nAnswer: -19*sqrt(17) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*b**2 - 26*b**2 - b + 72*b**2 + 814*b**3.\nAnswer: 814*b**3 + 38*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*n + 148 = 98. Solve 2*b + n*b + 35 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 3*r + 6. Let w be j(7). Suppose 0 = 21*p - 76 - 71. Let c be (-8)\/p - (-1)\/7. Put -4, w, c in ascending order.\nAnswer: -4, c, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t - 4*h + 9 - 33 = 0, -4*t + 2*h + 72 = 0 for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*v + 2*v - 9*v)*(-876 + 1461 - 808).\nAnswer: 892*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(175) + 2*sqrt(175)*-4 + sqrt(175) - -3*sqrt(175)*2 - -6*6*(1 + sqrt(112))*-1)**2.\nAnswer: 10368*sqrt(7) + 146448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) be the third derivative of -1\/672*v**8 - v**2 - 1\/48*v**4 + 1\/12*v**3 + 0 + 1\/420*v**7 - 1\/60*v**5 + 1\/120*v**6 + 0*v. Factor k(p).\nAnswer: -(p - 1)**3*(p + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1084\/(-18)*-1 - (-4)\/(-18) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 1010913.6 seconds?\nAnswer: 16848.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*c - 369 - c - 376 + 743 - 41*c**2 - 34*c**2 in the form t*c + w*c**2 + s and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1241?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -73, -0.6, 0.4, 13\/3, 0.5 in ascending order.\nAnswer: -73, -0.6, 0.4, 0.5, 13\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o = -5*m + 320, -o + 4*o - 129 = -2*m. Suppose m - 7 = 8*x. Which is the second biggest value?  (a) x  (b) -4  (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 6 - 1 - 3*o + 5*o - 13. Let n(s) be the third derivative of -5*s**4\/12 - 11*s**3\/2 - 37*s**2. Let f be n(-4). What is k(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(76) + (sqrt(76) - 3*sqrt(76)*-2))\/(sqrt(4) - sqrt(4)*-3*4 - sqrt(4)).\nAnswer: 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -4, -1, -3, 2 in decreasing order.\nAnswer: 2, -1, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-10)\/(-6) + 42\/126. Solve d = 4*h + 18 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 94716218 to the nearest integer?\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 21.18877573 to 1 decimal place.\nAnswer: 21.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = g**2 + 10*g - 6. Let s(l) = -l**3 + 4*l**2 + 3*l - 1. Let m be s(5). Let f be y(m). Suppose -8*a + 48 = -f*a. Is 16 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2156 + 3409 = 857*v - 904*v + 1335 for v.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) be the first derivative of -111*m**5\/5 + 2*m**3 + 7*m**2\/2 + 126. Find the third derivative of k(c) wrt c.\nAnswer: -2664*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 7 = 23. Suppose k = 5*p - 50. Is 5 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i + 2*y = 5*y - 2, -3*i + 14 = -4*y for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/4?  (a) -3  (b) 5  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 355420?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) be the third derivative of -i**8\/3360 + i**7\/630 - i**6\/360 + 3*i**4\/8 + 8*i**2. Let d(p) be the second derivative of v(p). Factor d(w).\nAnswer: -2*w*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -v**3 - 37*v**2 - 27*v + 41. Calculate l(-36).\nAnswer: -283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 14514*b**2. Let q(m) = 2*m**2. What is z(q(s))?\nAnswer: 58056*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a millennium in years?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 558 minutes before 3:08 PM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 78 = -48. Let x be (-2)\/(-10) - n\/10. Sort x, 2, -1 in increasing order.\nAnswer: x, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -656\/5 - -132. Let j = 235 - 234. Sort -1, c, j, 2\/15.\nAnswer: -1, 2\/15, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) be the second derivative of 0 - 33*w - 7\/2*w**2 - 1\/4*w**4 + 5\/6*w**3. Let k = -4 + -1. Let s(q) = -2*q**2 + 4*q - 6. Give k*s(z) + 4*h(z).\nAnswer: -2*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 1 - 4*g**3)*(2*g + 2*g - 7*g) + 14*g + 14*g**4 - 18*g**4 - 16*g in the form w*g**3 + t*g**4 + s*g + r*g**2 + v and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-6)\/(-39) - (-15)\/156. Let l(d) be the second derivative of 1\/48*d**4 + 0 + j*d**3 + 9\/8*d**2 - 2*d. Determine w, given that l(w) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*s**3 + 138455*s**2 - 2216485*s + 2078025.\nAnswer: 5*(s - 15)*(s - 1)*(s + 27707)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: ((-12)\/(-16))\/((-10)\/(660\/9))\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*j**4 - 2*j**4 - 16*j**4 + 2 - 2 - j**4 + (4*j**3 - 2*j**3 - 3*j**3)*(13*j - 9 + 9) to the form q + w*j**4 + r*j**2 + d*j**3 + v*j and give w.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5995\/12 - -500. Find the common denominator of (5 - 4025\/90)*(-1)\/5 and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:16 PM and 12:28 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (-l + 5*l - l)*(4 - 3 - 3) - 7*l + l + 3*l + 13 + 13 - 5*l - 28 in the form j*l + k and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6*d + 2*d + 3*d)*(-4*d + 5 - 5) - 254*d**2 + 188*d**2 - 764*d**2 to b + m*d + l*d**2 and give l.\nAnswer: -826","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -l**3 - 3*l**2 + 2*l - 1. Let y(o) = -6*o**3 - 19*o**2 + 13*o - 7. Let w(s) = 2*y(s) - 13*z(s). Let p(v) = 6*v**3 + 3*v**2 - 3. Give -p(a) + 3*w(a).\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -5034889 (base 12) in base 6?\nAnswer: -1253301453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11458 + 37805 = 1813*w - 43012 - 39421 for w.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -2*z. Let i = 7 - 7. Let q(b) = b - b + b + i. Calculate m(q(w)).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -3*q - 58. Let w be f(-20). Suppose -5*b + 815 = 3*c + w*c, 3*b = -5*c + 497. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:25 AM and 11:13 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 26562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 7 = 2*r - 4*x, 5*r = 4*x + 99. Is (r\/(-4))\/(3\/(-84)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 1439 = 4*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*(w**(-2\/25)\/w)\/w)\/(w**23\/w) assuming w is positive.\nAnswer: w**(-577\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2897\/24 + 659\/6. Find the common denominator of 33\/(-1)*(-3)\/(-20) and j.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 0 - 12123222?\nAnswer: -12123222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (30\/48)\/(2\/8)*-2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 15 + 5 = 5*h, -20 = -5*w + 3*h. Suppose -w = -2*d - 1. Solve -d*f - 8 = -f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.2 + 0.5. Let k = -0.07 + -0.33. Let z(m) = 2*m**2 - 2*m - 2. Let d be z(2). Which is the closest to -0.1?  (a) d  (b) y  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1181\/10 + 235\/2. What is the smallest value in z, 0.1, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*l = 10*l. Suppose 0 = -2*u + h + 6 + 10, -3*u - 2*h + 10 = l. Let i(w) = 7*w + 21. List the prime factors of i(u).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 86 a factor of 151265055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0*s + s + s)*(-s**2 - s**2 - 2*s**2) - 5*s**3 - s + s)*(-25 + 6*s**2 + 25).\nAnswer: -78*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + d + 1 = 0, 30 = 3*o - 3*d + 12. Which is bigger: -2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -66 - -34 - 10 - -30.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 13\/5 of a centimeter?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14979 is divided by 483?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from idieememdiiqididi. What is prob of picking 2 e?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 4, c: 6}. Give prob of picking 2 m.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1291*m + 4501 = 1934*m for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22*z**2 + 16*z**2 - 96*z**2.\nAnswer: -58*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 311 - 166. Let p = f - 145.3. Let g = 3.08 + -0.08. Which is the nearest to 0?  (a) -2\/7  (b) g  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q - 8 = 4*q, -o + 11 = -5*q. Let n be (o - 2)\/(-3)*(-20 + 20). Suppose -3*z = 5*l - 161 - 197, n = -4*z + l + 508. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1311441 (base 6) to base 2.\nAnswer: -10001011111110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1136723642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a day in minutes?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eeee when four letters picked without replacement from {o: 2, e: 11}?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(-9*90\/486).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -f - 7. Let o(b) = 42*b - 79*b + 35*b - 15. Let j(k) = 2*o(k) - 5*s(k). What is the first derivative of j(p) wrt p?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -203*x + 212*x = 1818. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = t - 0. Let d be (-1)\/(-3) - (-11)\/3. Let r = t - d. Solve -a - r*a - 12 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from {c: 2, u: 6}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -p**2. Let q = 48 + -48. Let j(w) be the second derivative of q - 7\/12*w**4 + 0*w**2 + 0*w**3 - 5*w. Determine j(b(s)).\nAnswer: -7*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -33\/4 and -81\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-y**3 - 4*y**3 + y**3)*(y - 2*y + 3*y)*(163 - 25 + 39) to the form z*y + l*y**3 + u*y**4 + b + t*y**2 and give u.\nAnswer: -1416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 15*q**2 + 8*q**2 + 5*q**2 + q**2 as z*q**2 + p + v*q and give z.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 3*f. Let q(k) = 58*k**2. Calculate z(q(l)).\nAnswer: 174*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 85 - 83. Solve 24 = -b*o + 14 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = k**2 - 3*k - 6. Calculate the remainder when p(-3) is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 94335149 is divided by 975?\nAnswer: 974","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 less than or equal to -2\/264407153?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*c**4 + 4*c**4 - 2*c**2 + c**4 - 274*c + 136*c - 39 + 136*c + 2*c**3 as g*c**4 + w*c**3 + s*c + d + q*c**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h - 263*x + 30 = -264*x, -4*h - 4*x = -24 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*z**5\/5 + 1216*z**4\/5 + 2039*z**3\/5 - 4294*z**2\/5 + 1032*z\/5 = 0 for z.\nAnswer: -172, -3, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 16*s - 4 = -18*s, 0 = -5*y - 5*s + 10. Suppose -24\/7*j**3 + 0 + y*j - 8\/7*j**2 - 10\/7*j**4 = 0. Calculate j.\nAnswer: -2, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(17\/3)\/q**5 assuming q is positive.\nAnswer: q**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10115453.\nAnswer: 101, 100153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 205 - 191 - ((-4 - -30) + 4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 105 by 21.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10230, 40888, 91986, 163524, 255502, 367920?\nAnswer: 500778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y*(y\/y**(2\/13))\/y*y*y*y*y*y)\/(y\/y**(2\/23)))\/(y**(-2\/7)\/(y\/(y**8\/y*y*y))) assuming y is positive.\nAnswer: y**(-3728\/2093)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - 24 = 5*y, 0 = -y + 5*t + 4 + 2. Put -9, 2, -3, 1, y in ascending order.\nAnswer: -9, y, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1235*k**2 + 788 - 788)*(-6 + 1 - 2).\nAnswer: 8645*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 701395 or 701396?\nAnswer: 701395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 2\/9, 0, 5, 612?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - q - 2*q - 53 = 0, 5*m + 3*q = 247. Suppose 4*g = 2*g + m. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.74 - 0.34. Which is bigger: 0 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1758*b - 8608 = -333*b - 712*b + 651*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -257775163 to the nearest 10000.\nAnswer: -257780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -5*n. Let h(d) = -d**2 - 6*d + 3. Let u be h(-6). Suppose 6*w + 4*p - 22 = w, p = u. Let c(l) = 5*l**2 + 0*l**2 - w*l**2 - 2*l**2. Determine c(x(m)).\nAnswer: 25*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (11 + -9)\/((-2)\/(-16)). Calculate the common denominator of b\/(-168)*(2 + 8) and -107\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = j**2 - 9*j + 7. Let t be f(8). Let c be 6*t*(-2)\/4. What is the second derivative of 4*y**3 - 3*y + 5*y**c + 0*y - y wrt y?\nAnswer: 54*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -252, -524, -796, -1068?\n\"Answer: -272*k + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + sqrt(175) + 4 + 0 + sqrt(175) + -4*(-1 + sqrt(7)) + sqrt(28)\/sqrt(4) + -5.\nAnswer: 6 + 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (23\/(-874))\/((-31)\/(-62))\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 136*u - 40 = 135*u, 4 = -2*u. Calculate the greatest common divisor of 6069 and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16445450 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -322, -21, -3\/8, -1\/3, -1778, 3?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(459)\/((sqrt(189)\/sqrt(3))\/sqrt(7)))\/((sqrt(36) - -1*sqrt(2304))\/sqrt(12)).\nAnswer: sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 11090 (base 15) in base 14?\nAnswer: 15a2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((sqrt(1573) + 2*sqrt(1573))*5 + 1 + (-3*2*sqrt(156))\/(sqrt(12)*2*-6 + sqrt(12))).\nAnswer: 2 + 3642*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40279*t = -4*z + 40278*t, 72 = -9*t for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -8 - g**3 + 1 + 0*g**2 + g**2 + 8 + g. Let i be p(2). Let a = -2.4 + 1.9. What is the closest to i in a, -4, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-109*d + 109*d - 32*d**2)*(4*d + d + 0*d) + 0*d**3 + 4*d**3 - 2*d**3)*(d**2 - 1 + 1).\nAnswer: -158*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -18*m**3 - 27*m**3 - 45 + 143*m - 143*m wrt m.\nAnswer: -135*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p and 2 n when four letters picked without replacement from nawannnnappapn.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the first derivative of -w**4\/12 - w**3 - 9*w**2\/2 + 2*w + 1. Let f(a) be the first derivative of l(a). Factor f(h).\nAnswer: -(h + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12121220 (base 3) to base 14\nAnswer: -16cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -a**3 - 6*a**2 + 6*a - 4. Let b be j(-7). Suppose 135 = b*n + 15. Is n a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 58023 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1190022?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 578797 and 2079930?\nAnswer: 779","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 2757 divided by -202100\nAnswer: -2757\/202100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -4*t - 1. Suppose -4 = -21*w + 22*w. Calculate h(w).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -276145099383 and -9?\nAnswer: 276145099374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2557163?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.01 + 3.01. Let q = -434 - -434. Sort -0.1, n, q in descending order.\nAnswer: n, q, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 2 + 4)*(0*n + 10*n + n) + 49*n + 41*n - 189*n.\nAnswer: -33*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3479 + 3469. What is the fourth smallest value in -4, q, -3, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 + 1)\/(41\/(-82)*-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:14 AM and 4:05 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yyvff. Give prob of picking 2 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -2345 (base 8) in base 15?\nAnswer: -588","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2  (b) -0.0874  (c) 36  (d) 0.1  (e) 0.4  (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/5 in 16, 3, -1473, -3\/7, 0, 1\/3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -25*r + 315. Let o be l(12). What is the derivative of -23*z**3 - o*z**3 - 615*z**2 + 111 + 30 + 613*z**2 wrt z?\nAnswer: -114*z**2 - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(13))*-3 + 1 + sqrt(13) + 1)**2.\nAnswer: -20*sqrt(13) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4155.\nAnswer: 3, 5, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -x + 4. Let h(u) = -u**2 + u. Let z be h(-2). Let d(v) = 33. Let r(c) = -182. Let i(a) = -11*d(a) - 2*r(a). Calculate z*i(l) + 2*g(l).\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s + 4*t = -10, 4*t + 368 = 5*s + 338 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1638 and 195504582.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1630097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 3\/5  (b) -1\/15  (c) -0.086  (d) 0  (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1, 1.4, -1.3, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 149130 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 3*s - 7 = 0, -c - 2*s = -3 - 0. Let j be -2 + (117 - c)\/2. List the prime factors of 2\/(-5) + j\/5.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) be the first derivative of -11*o**4\/4 + 7*o + 3. What is the derivative of m(z) wrt z?\nAnswer: -33*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 0*n**2 + 347*n**4 - 9*n**2 - 66520 + 144*n**4 + 3*n + 66555 wrt n.\nAnswer: 11784*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -76.145 + 0.5.\nAnswer: -75.645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -695 - -7646\/11. Suppose 0 = 4*k + 16 - 56. Let r = k - 9. Which is bigger: x or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*q**3 - 56*q - 49*q + 165*q - 7*q**2 - 60*q.\nAnswer: -6*q**3 - 7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 1686624, 1686664, 1686714, 1686774, 1686844, 1686924, 1687014?\n\"Answer: 5*b**2 + 25*b + 1686594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*k**5 + 4*k**5 - 5*k**5 + (-4*k**3 + 0*k**3 + 2*k**3)*(-k - 2*k + 4*k)*(-4364 + 4364 + 97*k).\nAnswer: -191*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 33416635*m**2. Let p(a) = 36*a**2. Determine p(y(i)).\nAnswer: 40200173810036100*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 9438258 divided by -13\nAnswer: -9438258\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -q**2 + 15*q**2 - 11*q**2.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 0.29 times -138750\nAnswer: -40237.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (k**2 - 2*k**2 - k**2)*(10*k**2 - 95 + 95).\nAnswer: -20*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 3476376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + 8 + 18 = 3*f, -3*f + 4*q - 10 = 0. Let d(p) = 2*p**2. List the prime factors of d(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*g - 109 + 91 = 0. Which is the third biggest value?  (a) 2  (b) 4  (c) g  (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2 + 10. Let u = c + -3. Suppose -4*x + 1 = -2*d + 5, -u*d - 3 = 3*x. Let n(s) = -5*s - 1. Determine n(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 4*f + 1. Let t be s(-1). Let u = 5 + t. What is the derivative of 2*q**3 + 2*q**3 - u*q**3 + 0 + 5 wrt q?\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-15)\/18)\/(8\/36)*4?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:47 AM and 1:19 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 195 + -a?\nAnswer: 18b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -296 - -3804. Suppose l = 3*p + 1402 - 512, -4*l = p - j. Calculate the lowest common multiple of l and 2.\nAnswer: 878","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -153*b - 37*b - 48*b + 23*b. Let n = 2 + -3. What is the closest to 2\/9 in n, b, 5\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -7881971 and -0.1.\nAnswer: -7881971.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -150150 - -13512887\/90. Let i = 1186\/171 + 10\/57. Let c = i + s. Which is smaller: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -101*t - 12*t = -91*t + 8*t - 3600 for t.\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -20 - -19 - (0 - 2 - 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*x - 47161 = -4*i - 47218, -2*x - 28 = -i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*v**2 + 12*v**2 - 35*v + 71*v - 36*v.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 61246323 divided by 53.\nAnswer: 1155591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -10*b**3. Let w(v) = -2*v**3 + v**2 + 18*v + 12. Let k be w(-3). Let l(h) = -51*h**3. Give k*f(r) - 4*l(r).\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-m**4 + 5*m**4 - 2*m**4)*(-3 + 1 + 3) + 0*m + 0*m + 2*m**4 + 4*m**2 + 2*m**4 - 4*m**2 + 2*m**2 + 2*m**4 - 2*m**2 + 7*m**2 - 5*m**2 + 6*m**2 + 2*m**4.\nAnswer: 10*m**4 + 8*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-104 + 90 - (-4 + -10)) + -74 + -1?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put together -42311089138 and 0.01.\nAnswer: -42311089137.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5 + 5 + 13*m**4 + (-2*m + m - m)*(3*m**3 - 6*m**3 + 4*m**3) + (-3*m**4 + 0*m**4 + m**4)*(1 - 1 + 1).\nAnswer: 9*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -1\/4, -291, 5, 0.4, -7, 8?\nAnswer: -291","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -9038.10437 - -9038. Let r = -912 + 912.0952. Let n = r + q. Round n to 3 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.097 * 50\nAnswer: 4.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (165 + -160 - (-519)\/(-105)) + (-729)\/9450.\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -1234*w**2 + 203615*w - 203615*w. Let j(k) = k. Determine t(j(q)).\nAnswer: -1234*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*w**2 - 4345*w + 268830.\nAnswer: -5*(w - 58)*(w + 927)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 19828, 19830, 19834, 19840, 19848?\nAnswer: 19858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 4704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 8401974?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 244 - 284 = -2*n. Factor 5*c**4 - 25 - 20*c**3 - n*c + 16 + 14 + 30*c**2.\nAnswer: 5*(c - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000073311 to six dps.\nAnswer: 0.000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 28 - 3253*c + c**2 + 3254*c - 21*c**3 - 13 - 16 as a*c**3 + h*c + v*c**2 + w and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {r: 1, j: 5, d: 1, e: 1, m: 3, t: 3}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5*4\/20*(-1)\/(-3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 1, f: 1, j: 1, p: 5, x: 1}. What is prob of picking 1 a, 1 x, and 1 f?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 10075080 to the power of 1\/4, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -55074834 divided by -6.\nAnswer: 9179139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 29 = 4*z, z - 6 = 6*p - 7*p. Solve z*n = 26 - 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (2 - (-44)\/(-4)) + 5. Put -1, 110, b in descending order.\nAnswer: 110, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -202*s + 201*s + 2. Let l(f) = 13*f**2 + 2*f. Determine l(s).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -n - 1. Let a be z(7). Let s = 33 + -227\/7. What is the nearest to 0.1 in -5, s, a?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*h - 7*h + 11 + 33*h.\nAnswer: 10*h + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4.939 + -0.061. Sort -1\/6, -1\/9, j, 2.\nAnswer: j, -1\/6, -1\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-47)*x)\/x**(-2\/3) assuming x is positive.\nAnswer: x**(-136\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 2337102967?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 73\/14 and 35\/32.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42*p - 234 = -66. Suppose 0 = -i - u - 23 + 129, p*i = -3*u + 427. List the prime factors of i.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 72*t**3 + 85*t**3 + 118*t**3 - 360*t**3 + 87*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -757899 rounded to the nearest 1000?\nAnswer: -758000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 2622.053 kilometers?\nAnswer: 2622053000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 4*q**3 + q - 1. Let m be l(1). Let o(n) = n - m*n + 2*n. Let a(s) = 3*s. Determine a(o(k)).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 26*a**2 + 5*a + 1. Let s be l(5). Let o be (-2)\/11 - 108\/11. Is 17 a factor of s\/14 + o\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (d**3 - 20 + 20 + 15*d**2)*(0*d**2 - d**2 - d**2).\nAnswer: -2*d**5 - 30*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (20\/(-6))\/(42\/(-189)). Let s = -49 + i. Let p = s + 735. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 460 and 23?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine w, given that 4*w**5 - 56*w**4 - 532*w**3 - 1144*w**2 - 672*w = 0.\nAnswer: -4, -2, -1, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-9)\/36*6 - (-30)\/16. What is the closest to -2\/5 in -0.4, -0.2, w, 1\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.2*-0.2262\nAnswer: 0.04524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2793469840?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 564499679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -336*n - 29. Let v be d(-33). Suppose 31595 = 2*a - v. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) be the first derivative of 4*t**6\/3 - 7*t**2 - 6. Find the second derivative of u(r) wrt r.\nAnswer: 160*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1255\/13158 + -4\/6579. Calculate the common denominator of b and -1\/42.\nAnswer: 2142","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 641 minutes after 12:42 PM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9*z + 980*z**2 + z + 6*z + 4*z + 329*z**2 to the form v + h*z + w*z**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 90*u - 3. Let w be r(6). Suppose 3*a - w - 183 = 0. What is a rounded to the nearest 10?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 + (-25 - -15 - -28)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0238556 to 4 decimal places.\nAnswer: -0.0239","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*u**3*v - 5*u**3 - 14073*u**2*v - 11*u**2 + u*v - 159500*u + 2*v wrt v?\nAnswer: -2*u**3 - 14073*u**2 + u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2)\/(-4) - (-45)\/10. Suppose 0 = o*h - 0*h - 150. Is 10 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-4)\/10 + 336\/(-10). Let w = b - -6. Let y = w - -52. Is y a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine a so that -44 - 1\/2*a**4 + 75*a - 37\/2*a**2 - 12*a**3 = 0.\nAnswer: -22, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -1007, -1005, -1001, -995?\n\"Answer: x**2 - x - 1007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00046773621 rounded to six decimal places?\nAnswer: -0.000468","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 4*q**3 + 4*q - q - 2*q - 3*q**3 - 2*q**2 - 1. Suppose -5*m - 2*c = -0*c - 5, 5*m = -4*c - 5. Let h be -1 - (-3 + m + -2). Give z(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4160.4 + -4160. Let v be (1 - 3)\/(1 - -2). What is the closest to v in 1\/3, -0.5, f?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - m - 6 = 0, 2*m = -5*n - 1. Let t be (-3997)\/28 + n\/4. Let d = t - -219. Is d a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -53 + 60. Let u(c) = -18*c**2 + 9*c - 3. Let d be u(a). What are the prime factors of ((-2)\/(-11) + d\/44)*-2?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -6*o. Let t(n) = 4*n - 4. Let y(x) = -x + 1. Let b(r) = t(r) + 3*y(r). Let s be (-326)\/(-978)*(0 - 15). Determine s*b(l) - p(l).\nAnswer: l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the third derivative of s**9\/504 - s**7\/210 + 4*s**5\/5 + s**2 - 1. What is the third derivative of g(c) wrt c?\nAnswer: 120*c**3 - 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -155366 or -155365?\nAnswer: -155365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -53*t + 4*w + 2 = -55*t, -w + 22 = 5*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 32aa56 (base 12) in base 13?\nAnswer: 223290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 426386 is divided by 507.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 38?  (a) -0.11  (b) -2  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.3 in 0.032, 0.15, -3\/5, 0?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(30)\/(sqrt(10)*1) + 0 + sqrt(3) + sqrt(3) + 2)**2.\nAnswer: 12*sqrt(3) + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 78844.734ms to hours.\nAnswer: 0.021901315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 3035\/5 + (-2 - -6 - 1). Let o = -355 + b. Suppose -2*t = t - o. What are the prime factors of t?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 468039828?\nAnswer: 2, 3, 103, 107, 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -8*q**2 - 288*q - 6. Give y(-36).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2\/19, -5, 3103?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 5769, 11480, 17189, 22896, 28601, 34304?\n\"Answer: -w**2 + 5714*w + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/(-3) + 3068\/156. Suppose -3 = 3*n + 2*m - 31, n - 5*m = -g. Let q(u) = 2*u**2 - 8*u - 2. What is q(n)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -7*i**3 + 76*i**2 + 8*i + 5. Give f(11).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.599 - -0.709. Which is the third smallest value?  (a) 32  (b) u  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = t + 21. What is a(-9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12173*d + 4087*d + 4074*d + 4102*d.\nAnswer: 90*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 0.7046879 days?\nAnswer: 1014.750576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -13*i**6 + 2*i**3 - 11*i**2 - 4*i?\nAnswer: -1560*i**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2b1 (base 12) in base 8?\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sum 15565 and 12218463770.\nAnswer: 12218479335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = q**3 - 17*q**2 + 15*q + 20. What is the remainder when 8 is divided by p(16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -50581 or -50584?\nAnswer: -50581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -77007, -154029, -231051, -308073?\n\"Answer: -77022*x + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/7, -2\/5661727, -5\/2.\nAnswer: -5\/2, -2\/5661727, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*x = -16*x - 6. Let u = x + 98. Is 24 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -q**2 + q + 1. Suppose 3*d + 15 = 3*t, 7*t = 2*d + 2*t + 25. Let b be y(d). Solve 0 = -5*p + b + 4, 0 = 4*s + 5*p + 7 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1038151 and 667.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -1.1, -9, 0, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (5 - 22\/6) + (-14)\/(-3). Suppose -q*u + 73 = 3*x - 4*u, 0 = -3*x + u + 58. What are the prime factors of x?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1)\/((-7)\/8)*14\/4. Solve 0 = 2*w - 10, -g*n - 9 = -2*w + 9 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -72.3348 to 0 dps.\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 1474299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8189025 milliseconds in seconds?\nAnswer: 0.0008189025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w**2 + 10. Let q(u) = 17*u**2. Calculate q(t(h)).\nAnswer: 17*h**4 + 340*h**2 + 1700","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 864087?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5754547 + -15105453. Round c to the nearest one million.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -108664\/5 - -21872. Let t = 140 - x. Which is bigger: t or -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2, 9, 36, 95, 198?\nAnswer: 357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 4.668  (b) -4  (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + 1 + 2 - 2 - 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 36855 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 15802 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -559500 (base 10) to base 6.\nAnswer: -15554140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 58157210 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5433, -3343, -1255, 831, 2915?\nAnswer: 4997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3841 - 153639\/40. Let m(l) be the third derivative of 1\/8*l**3 - z*l**5 - 14*l**2 + 0 + 1\/32*l**4 + 0*l. Suppose m(i) = 0. Calculate i.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -z. Let n(m) = -34284*m**2. Determine n(d(s)).\nAnswer: -34284*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 81940707 to the nearest integer?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*c**4 - 66480*c**3 + 199410*c**2 - 199400*c + 66465.\nAnswer: 5*(c - 13293)*(c - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 4044 (base 5) in base 14?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -4*f**3 + 4*f**2 - 2*f + 5. Let u(h) = h**3 - h**2 + h - 1. What is -l(r) - 2*u(r)?\nAnswer: 2*r**3 - 2*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-12)\/(-8)*-1 + 2. Let r(l) be the second derivative of 0 + 1\/20*l**5 - s*l**2 + 1\/2*l**4 + 5\/6*l**3 - l. Give r(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 28*j + 3. Let m(p) = -54*p - 5. Suppose 14 = 66*l - 68*l. Let x(n) = l*s(n) - 4*m(n). What is x(-1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = t**2 - 36*t - 23. Determine i(39).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**1)**(-21\/8)\/(d**(1\/2)\/d)**(-17\/5) assuming d is positive.\nAnswer: d**(-173\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 50999\/68 - 750. Calculate the common denominator of y and 99\/32.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 - 1 - 1)*(0 + 0 + 3) - 5 - 8 + 14 + (1 + 4 - 4)*(1 - 4 + 1) + 2 - 3 - 8)*(-2*w + 1 - 1).\nAnswer: 26*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 + -1 + 1 - 3) + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 461 + 2?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.77 + 0.6. Let y = r - 3.83. Which is the closest to -1?  (a) y  (b) 3\/5  (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 42 + 164 = 0. What is the remainder when n is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5230302 divided by 249062?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 3\/8  (b) 1\/3  (c) 2\/3  (d) 77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 36 and 32544.\nAnswer: 32544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 43835 is divided by 3985?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - (-2 - -7 - 4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -11302375 divided by -25\nAnswer: 452095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -9*u**3 + 2*u**2 + 3*u + 1. Let j be l(-1). Calculate the highest common divisor of j and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*(7\/(504\/(-99)) + (-15)\/(-40)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 51\/2 of a kilogram?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(51)\/sqrt(3) + -2).\nAnswer: -8 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 227*j**2 + 0 + 140*j**2.\nAnswer: 367*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 421 minutes before 3:18 AM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.04 - 0.04. Let l = -0.06 - a. Let o = 0.36 + l. Which is smaller: o or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d = 4*d - 5*d - 2*d, -z + 5*d = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -13  (b) 4\/9  (c) -2  (d) -1\/2  (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2587129559 to the nearest integer?\nAnswer: 50864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 1338 + 75 = 3*f, -5*f - 6985 = -5*v. Suppose 4*u = u + v. Suppose -q = -s - u, 0*q + 4*q + 3*s = 1882. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -t**3 - 205*t**2 - 4055*t + 23843. Determine r(-182).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 39*b**3 - 234*b**2 - 685*b + 4127. Give d(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -i**2 - 5*i + 2. Let p be x(3). Let j = p - -27. Solve t - j*t = 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 61 + 11 = 0. Solve 0 = 4*w + 4*j + g - 34, 12 = 4*j for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 27\/2 of a millennium?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 137 - 132. What is the greatest common divisor of 5 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 52 divide 48724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 1071564*z**4 + 10521958 wrt z?\nAnswer: 4286256*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cycbbcuzbczccqubbccu. Give prob of picking 1 u and 2 c.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 5*f**2 + 7*f - 38. Let i(y) = y**3 - y + 2. What is the remainder when x(5) is divided by i(4)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - r = -12, 2*i - 2*r - 31 = -3*i. Let m be ((-27)\/12 - -1)*-4. Calculate the highest common factor of m and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) be the third derivative of 2*m**7\/105 - 9*m**6\/10 - 19*m**5\/5 - 29*m**4\/6 - 45*m**2 - 1. Determine j, given that x(j) = 0.\nAnswer: -1, 0, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 63837 - 66407.1. Round r to the nearest one hundred.\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -5*d - 14. Let p be w(-3). Let y be 5*2 - (3 - p). Let j be y\/(-14)*(-19 + 12). Solve -i = -j*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -7249, -14519, -21789, -29059, -36329, -43599?\n\"Answer: -7270*r + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 172*d - 171*d - 2 = 2*y, 5 = -5*y + 2*d for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -f**3 - 10*f**2 - 7*f - 194. Let l be s(-11). Solve -l*j + 2*j = 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((80\/(-240))\/((-2)\/236))\/(9*(-30)\/(-405)).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 41533104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.106689504 to 5 decimal places.\nAnswer: -0.10669","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5983 = -5*l + 6928. What is the remainder when 399 is divided by l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.2 times -6.3\nAnswer: 1.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 10, k: 10}. What is prob of sequence tktt?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 5071654601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -54*f**2 - 2267*f - 11647. Calculate h(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 152\/(-80) + 3\/2. Let k = -3\/20 - m. Does k = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 1, r: 3}. What is prob of sequence rt?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 187920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 35570?\nAnswer: 2, 5, 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*q = -6*q - 38. Suppose 4*l - 24 = 4*c, 0*c + 8 = -4*c. Put q, -9, l in ascending order.\nAnswer: -9, q, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 61542 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-18 + 17 + 39)*(1 + 1 - 1)*(5 - 5 + 4*d).\nAnswer: 152*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -6*i + 7. Let m(v) = -18*v + 20. Calculate 17*b(d) - 6*m(d).\nAnswer: 6*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -9*z + 3. Let p(w) = 17*w - 4. Let c(j) = -5*k(j) - 3*p(j). Let g = -1 - 2. Let h be c(g). What is the highest common factor of h and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*a**2 + 22876*a - 592072.\nAnswer: -4*(a - 5693)*(a - 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 15 - 23. Let u = 16 + i. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:12 AM and 10:29 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 745, 746, 747?\nAnswer: 748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (38 + -24 + -17)\/((-3)\/11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*1*sqrt(17) - ((sqrt(1088) - (-1 + sqrt(1088) + sqrt(1088))) + sqrt(1088)))**2.\nAnswer: 12*sqrt(17) + 613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 103931936 to the power of 1\/3, to the nearest integer?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -882*n + 30867. Calculate w(35).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 150135007 a multiple of 737?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/17 in -3, 0.4, 20\/9, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = o**2 - 9*o + 7. Let q be j(3). Is ((-2)\/q)\/1 + (-118410)\/(-330) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 41*d + 1564. Let r be x(-38). Let l(f) = -f**2 - 2*f + 7. Determine l(r).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 19 - 14. What is the highest common divisor of 10 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0053579 rounded to five dps?\nAnswer: 0.00536","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3.7 - 0.7. Let c = -4.305 - -3.305. What is the second smallest value in -0.5, p, c, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = c**3 - 4*c**2 - 8*c - 8. Is x(6) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 less than or equal to -2075093?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -352, -430, -18, 1130, 3260?\nAnswer: 6618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000009132 rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 18877*j**2 - 18874*j**2 - 8 + 6.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -j**3 + 5*j**2 + 3*j - 3. Suppose -3*y + 2*y = -5. What are the prime factors of v(y)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 200 divided by 2.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:05 PM and 11:10 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 2189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t = 10*t - 72. Let a(m) be the third derivative of -1\/15*m**5 + 5\/6*m**4 + 0 + 0*m + t*m**2 - 8\/3*m**3. Factor a(u).\nAnswer: -4*(u - 4)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c and 1 x when three letters picked without replacement from {t: 1, n: 1, e: 3, x: 2, c: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = o**2 - 86*o - 2512. Give b(109).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -4, 3, 2.1, -164, -1?\nAnswer: -164","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*b - 4 + 13*b + 4.\nAnswer: 27*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (1 + sqrt(1100))*-6 + sqrt(1100) + (sqrt(1100) - (-5*(sqrt(1100) + 1 + sqrt(1100)) + sqrt(1100) - sqrt(1100))))*-6.\nAnswer: -360*sqrt(11) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -55 + (22 - (-10 - -11 - -11)) + 13\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -3 + -1769645?\nAnswer: -1769648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 45830?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = -3*z - 19, 5*m - 2*m + 4*z = -8. Suppose m*a - 17 = r - a, a - 1 = r. Which is bigger: 2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 86 = -2*c, 0 = -3*q + 345*c - 350*c + 19. Solve -578*t + 581*t - q = 0 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -54168 or -108335\/2?\nAnswer: -108335\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -310842, -621682, -932522, -1243362, -1554202, -1865042?\nAnswer: -2175882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = t**2 + 19*t + 73. What are the prime factors of w(-39)?\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*m + 5*l - 19421 = 5*m, 4850 = m - 4*l. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 6\/(-20)*(-2048)\/192. Let x be 88\/11*6\/16. Which is the fourth smallest value?  (a) x  (b) o  (c) -0.4  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (i + 2 - 2)*(-8*i + i - 3*i)*(2*i + 0*i - 4*i)*(2 - 1 - 3)*(181*i + 4*i + 209*i).\nAnswer: -15760*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (2\/4)\/(1\/(-2)). Let y = 8 + -1. Suppose -4*g + y = -9. Sort 1, g, v in ascending order.\nAnswer: v, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 297.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 961?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 911 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1876157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) be the third derivative of u**5\/30 - 5*u**2 - 6. Let q(a) = -59*a. Calculate g(q(j)).\nAnswer: 6962*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*b = 12*b, 4*b - 24348 = -3*z. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4115175 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-7\/5)*i**(-40))**(-4\/27) assuming i is positive.\nAnswer: i**(92\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) be the third derivative of p**4\/8 - p**3\/3 - 3*p**2. Let i = 5 + -7. Let t be 1\/((-1)\/(-1 + i)). Calculate o(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -303, 5, -2, -31.\nAnswer: -303, -31, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 2*q**3 + 5. Suppose -o - 2*o = -33. Suppose o = -w - 4. Let b be (-2)\/((-3)\/(w\/2)). Let y(d) = -d**3 - 2. Give b*y(r) - 2*h(r).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 225470894.\nAnswer: 2, 11, 433, 23669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -15893*c**2. Let t(p) = -174*p**2 - 112*p**2 + 287*p**2. Determine h(t(g)).\nAnswer: -15893*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: ((-56)\/(-208)*6*(-9)\/189)\/((-1)\/10)\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 59688.\nAnswer: 2, 3, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -107 + 82 = 5*i, 2*t + 3*i = -25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 46*x**3 - 3*x**2 + 3*x - 84. Let i(c) = -91*c**3 + 5*c**2 - 5*c + 169. Let g(h) = -3*i(h) - 5*o(h). Differentiate g(a) with respect to a.\nAnswer: 129*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 672 minutes after 12:28 PM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3167584235?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 65 + 59 - 206*c**3 - 124.\nAnswer: -206*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -28 in 0, -2.2, -94.6, -2, 1?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 28\/3 of a hour in minutes?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -11024104 (base 5) to base 6\nAnswer: -2014133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -74*l**3 + 124437*l + 41*l**3 + 32*l**3 - 124437*l.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 16 + -8. Let y(m) = -9*m**2 + 8*m - 6. Let i(v) = 6*v**2 - 5*v + 4. Let n(x) = k*i(x) + 5*y(x). What is the first derivative of n(p) wrt p?\nAnswer: 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 691, 692, 693, 694, 695, 696?\nAnswer: 697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -199 - -202. Find the third derivative of -102*r**h - r**4 - 115*r**2 - 186*r**2 - 17*r**3 - 13*r**3 wrt r.\nAnswer: -24*r - 792","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6 + 7. Let r(x) = -x**3 - 33*x**2 + 57*x - 449. Let v be r(-35). Which is the nearest to o?  (a) v  (b) -1  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2546 plus -104727?\nAnswer: -102181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1*(-3 + 1398) - -4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 482976.7 milligrams?\nAnswer: 0.4829767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1176 divided by 960.\nAnswer: 49\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 5 times -0.34117\nAnswer: -1.70585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 87616 and 25600300.\nAnswer: 5476","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -49726\/9 - -5554. Let k = 2405 + -2434. Let y = h + k. What is the biggest value in -0.4, -3, 0.4, y?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 2*u**2 - 2*u + 2. Suppose 4*p = 2*p + 2. Let z(f) = -p - 2*f - 1 + 0 + 5*f - 2*f**2. Let n be -1*(0 + -3)*-1. Give n*t(o) - 2*z(o).\nAnswer: -2*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 112439116?\nAnswer: 2, 28109779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (-12)\/(-16) + 305\/8*42?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) be the first derivative of -4\/3*a - 10\/3*a**2 - a**4 - 4 - 28\/9*a**3. Find d such that p(d) = 0.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 178525132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 10182 - 10200.956. Let l = v - -19. What is l rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 104173698 and -0.2?\nAnswer: -20834739.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + f = -6, -4*f = 4*y - 9*f + 51. Let c = 0 - y. Suppose -4*j + 97 - c = 0. Calculate the least common multiple of j and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in twenty-one halves of a microgram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 - 13 = -3*i. Let a be (-12)\/16 + 55\/i. Let p(x) = -x**2 + 19*x - 19. List the prime factors of p(a).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 57\/535535 and 83\/194740.\nAnswer: 2142140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 552*g**3 - 42*g**2 - 42. Let q(o) = 65*o**3 - 5*o**2 - 5. Determine 42*q(b) - 5*z(b).\nAnswer: -30*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 6*p**2 - 187*p + 699. What is u(38)?\nAnswer: 2257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w - 12 = 2*v, 9 = -v - 29*w + 25*w for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3633350990 rounded to the nearest one hundred thousand?\nAnswer: 3633400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - g + 24 = 0, 2*z + 0*g - g - 6 = 0. Suppose -5*n + 267 = s, z*n - 4*s = 3*n + 120. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -79*s**3 + 1460411504*s**2 - 1460411504*s**2.\nAnswer: -79*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 766087942?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 8 - 5. Let f(i) = -5 + i - 1 + i**t + 0 - 6*i**2. Let u be f(6). Put -1, -2, u in decreasing order.\nAnswer: u, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*o = 2*o - 21 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 430 (base 11) in base 10?\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -5*m**2 - 6*m + 4. Let u(l) = 5*l**2 + 5*l - 4. Give -4*a(f) - 5*u(f).\nAnswer: -5*f**2 - f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13296294 divided by -9.\nAnswer: 1477366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 6752681135 to the power of 1\/2, to the nearest integer?\nAnswer: 82175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -j**2 - 54*j - 514. Give i(-42).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1700) + (sqrt(1700) - (sqrt(1700) + (sqrt(1700)*1 - sqrt(1700) - sqrt(1700)) + -1)).\nAnswer: 1 + 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -155*u**2 - 4*u**5 + 155*u**2 + (4*u**2 - 1 + 17*u**2 + 12*u**2)*(-2*u**3 - u + u).\nAnswer: -70*u**5 + 2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 188683965 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -107\/16184 and -119\/6.\nAnswer: 48552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.07  (b) 5  (c) 7867\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1193399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (320\/(-4032))\/(415\/498)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 19791515 to the power of 1\/3, to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -8308500 divided by -1500?\nAnswer: 5539","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -2*o**2 + 2*o - 3. Let b(s) = -3*s**2 + 3*s - 4. Let c(y) = 17*y + 139. Let n be c(-8). Determine n*b(p) - 4*x(p).\nAnswer: -p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(3900) + (sqrt(3900) - (sqrt(3900) - -3*sqrt(3900))*4))\/(-1*sqrt(147) + -1*2*sqrt(3)))**2.\nAnswer: 254800\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 + 0 + -36 + 19 + 24 + -86?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -0.01, 60, -2, -1?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.2  (b) 2\/15  (c) -2\/7  (d) -9.9  (e) -2\/5  (f) 56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 439 minutes after 11:24 PM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -175 + -4. Let q = -112 - o. Let k = q + -48. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2*3*3\/(-27).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 85\/1148 and -79\/8?\nAnswer: 2296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -6*g - 6. Let c(b) be the second derivative of b**4\/12 - 5*b**3\/6 - 5*b**2\/2 - 23*b. Give -6*c(d) + 5*r(d).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2 + 221020441120?\nAnswer: 221020441113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (0\/(-6 + 1))\/(-2). What is the closest to x in -0.2, -6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) be the third derivative of u**8\/120 + u**6\/360 - 41*u**4\/12 - 30*u**3 + 181*u**2. Let t(l) be the first derivative of r(l). Differentiate t(s) wrt s.\nAnswer: 56*s**3 + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 - 8 = -2*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*g - 37410 + 37020 = 0 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(66)*2*2 - sqrt(66))\/(sqrt(486) - -4*sqrt(486)).\nAnswer: sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2091)\/(-918) - 10\/4.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in -173057, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -171776 divided by -176.\nAnswer: 976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1335\/7 or -192?\nAnswer: -1335\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 216 + -151. Let j = 66 - w. Is -27 at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*d**2 - 3*d**5 + d**5 + 24*d - 10*d**2 wrt d?\nAnswer: -40*d**3 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (30*(-6)\/12)\/(-1). Solve 2*i + 20 = o + o, -d = -3*o for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -2*w + 2. Let u = -3 - w. Let z(p) = -7*p + 2. Calculate z(u).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 2*d**3 + 29*d**2 + 26*d + 51. Calculate the remainder when 1395 is divided by b(-10).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = i + 8. Suppose -13*b + 3*b = -40. Let x be (-3 + -2)*2 + b. Let z be o(x). Solve -3*n = z*n + 25 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 44*1*((-784)\/(-3920))\/(1 - 9\/15)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 14 - 2 = -4*b, -2*b + 2*h = -8. Suppose -b*o - 83 = -247. Does 21 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 503242 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 y and 1 n when four letters picked without replacement from nnyynnnnny?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -c**3 - 7*c**2 + 30*c - 23. Determine g(-14).\nAnswer: 929","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fwfwweftfpvtfvw. What is prob of sequence pt?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 447364?\nAnswer: 2, 97, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 876*d*q + 8*d + 19578*q wrt d.\nAnswer: 876*q + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1.78541 and -3.\nAnswer: 5.35623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*w + 156 = -7*w. Suppose w = -2*b + 4. Is 2*41 - ((-4 - b) + 3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + 2*i + 25 + 172 = 0, 3*p + 103 = -5*i. Suppose -13*t + 413 = -146. Let f = t + p. Sort -2, -3\/7, f in ascending order.\nAnswer: -2, -3\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ffffggngfgfff. What is prob of sequence gfg?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-52)\/(-14) - (-5 + (-165)\/(-35)). Suppose h - 25 = 3*u - 37, v*h + 4*u - 32 = 0. Solve 5 = -4*a - h for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from jjwjwjwjwwjjj.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 889 a factor of 2478740915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 144 and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 8295503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 294627458 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 30096?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 40622\/4615 + -2\/923. Let y = l + -386\/45. Which is the second biggest value?  (a) -0.1  (b) y  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-51)\/(-25398))\/(1\/(-178)) - (26\/3)\/(-26)?\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.078581 to one decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 21559?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 48 = 3*c. Let y(a) = a. Let g(w) = w + 25. Let t(s) = c*y(s) - g(s). Let b be t(11). Calculate the greatest common factor of b and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - 0 - (-2 + 7 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -170 divided by 38525.\nAnswer: -34\/7705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000000243596 to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3564759*b**2 + 298*b - 9504.\nAnswer: 7129518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -2769\/58 smaller than -49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (4\/(-12))\/((-2)\/(-6)). Let l be 0 + v\/(2\/4). Let x be (-4)\/(-8)*4 - l. Put x, 3, 5 in ascending order.\nAnswer: 3, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 23234, 23178, 23122, 23066, 23010?\nAnswer: 22954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 190 - 190. Let x be 2 + (g\/4)\/3. Solve x*l = 2*c, -5*l + 2 = -l - 5*c for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = m + 3 - 7 - 1. Let q be z(10). Suppose -2*o + t + 53 = -2*t, 37 = o - q*t. Is o a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -28303*u + 28328*u - 22775. Solve 917*t - 24 = u*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 54273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.34 - 0.6. Let w = -3.26 - x. What is the fourth biggest value in 2, -1\/3, w, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -30.51 rounded to the nearest integer?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -k**3 - 22*k**2 - 61*k + 16. Calculate c(-3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 20 = 8*d. Solve 5*g - d*g - 28 = -5*y, g = -5*y + 26 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1526694 and 722085?\nAnswer: 53434290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15 - 0 - (-43 + 50).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 16 and 568?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s and 1 p when three letters picked without replacement from {m: 3, p: 7, s: 4}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1002 = -2*w - 0*w + 5*p, 6*p - 1046 = -2*w. Calculate the remainder when w is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0433334ml in litres?\nAnswer: 0.0000433334","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -19888*k - 34. Let p be c(-2). Suppose 8*b - 154 = p. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 3, q: 4}. What is prob of picking 1 w and 2 q?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = t. Let j(n) = 6*n**2 + 5*n. Let s(g) = g**2 + g. Let y(w) = w**2 - 11*w + 13. Let p be y(9). Let l(u) = p*s(u) + j(u). What is i(l(c))?\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -23*n + 20*n - 3 + 6. Let w(f) = -f**2 + f - 1. Determine o(v) + 3*w(v).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (2 - -2 - 3) + (9 - 9)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 41003 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -36*p**3 + 6 - 2 + 1 - 1.\nAnswer: -36*p**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 21.289 - 0.089. Let f = -21.5 + p. Which is the third smallest value?  (a) 1\/2  (b) -6  (c) -4  (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven halves of a day in hours?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 15*o - 3*s - 123, -326*s + 276 = 32*o - 329*s for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -1, 5, 3 in ascending order.\nAnswer: -4, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 12*c**3 - c**2. Let p be m(1). Let h = -131 - -135. Sort p, h, 1, 0 in decreasing order.\nAnswer: p, h, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1090*t + 61526 - 35366 for t.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -s + 9. Suppose 0*m - 11*m = 5*m. Calculate p(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 206 a factor of 31091401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -267*b - 394 = 69*b + 7670 for b.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 9218, 9217, 9216, 9215?\n\"Answer: -o + 9219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(153)*-5)\/(2*sqrt(729) + sqrt(9)).\nAnswer: -15*sqrt(17)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-24)\/(-6))\/((-3)\/((-15)\/(-10))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1116822?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(384)\/sqrt(2))\/(sqrt(36)\/(sqrt(12)\/sqrt(2))) + 0 + 2.\nAnswer: 2 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 55*t - 13*t + 212 = -11*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 137386181?\nAnswer: 107, 1283983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17454618?\nAnswer: 2, 3, 101, 9601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -229176 divided by -57294.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1131030 - 100?\nAnswer: -1131130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -14 or 0.015707?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -20797 >= 0.94?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -79*c**3 + 7*c**2 + 1003*c + 995. Calculate r(-1).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 40\/(-6) + (-32)\/(-7) + (-1730)\/(-1211). Let o(l) = 2*l**3 + 2*l**2 + l. Let q = 2 - 3. Let t be o(q). What is the closest to t in 3\/5, p, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1\/6  (b) -0.24  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2 + 0. Suppose -59 = -g - 2*q, -52 = -3*g + k*g + 5*q. Is 19 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m**0*m)**(2\/53)\/(m**10\/m*m*m**6) assuming m is positive.\nAnswer: m**(-844\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(80)*-2 + 5 - (2 + 0 + sqrt(80) + sqrt(80)) - 2*(-4 + sqrt(80) + 2)) + -5)**2.\nAnswer: -96*sqrt(5) + 2884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.84 and 4.\nAnswer: -3.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -2\/495, 0.4132, 3, 2?\nAnswer: 0.4132","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 - (-2 - (-2 - -1)) - 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 180 a factor of 60300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 164*j = -780 - 532 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 10}. Give prob of sequence iiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b**2\/3 - 218916*b + 1313512\/3 = 0.\nAnswer: -164189, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -8*r**5 - 16*r**4 + 16*r**3 - 2*r**2 - 8*r - 50. Let u(t) = t**5 + 2*t**4 - 2*t**3 + t + 6. Let z(y) = 17*u(y) + 2*w(y). Factor z(o).\nAnswer: (o - 1)**2*(o + 1)**2*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 124 + -123.9. Let t = -39 - -59. Let k be (8\/t)\/(12\/15). What is the closest to -0.1 in q, k, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/3)\/(56\/(-469)) + 20\/160.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*r = 12 + 60. Which is bigger: r or 32\/11?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 16444837?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -t**3 - 10*t**2 - 3*t - 22. Let o be a(-10). Suppose 30 = o*g - 5*g. Calculate the remainder when 27 is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 7) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -4088*b**2 + 36*b + 4. Let w(q) = 1046529*q**2 - 9207*q - 1023. Determine -1023*s(h) - 4*w(h).\nAnswer: -4092*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x**4 - 360*x**3 - 1872*x**2 - 2648*x - 1140 = 0.\nAnswer: -3, -1, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -25*z**2 - 4*z**3 - 11*z + 6*z - 5*z**2 + 3*z to the form p*z**2 + u*z + x*z**3 + d and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (((-1792)\/(-504))\/16)\/(((-80)\/(-42))\/4)\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = z - 1. Let s(c) = -c. Let y(k) = -k**3 - 9*k**2 - 10*k - 19. Let h be y(-8). Give h*v(i) - 2*s(i).\nAnswer: -i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3.4 - -63.1. Let l = w - 67. What is the nearest to l in -5, 0.5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 74798 times -0.4?\nAnswer: -29919.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-40)\/(p*p*(p\/(p\/((p*p**(2\/51)\/p)\/p*p))*p)\/p))\/(p**(-13)*p*p*p*p**(-3\/5)) assuming p is positive.\nAnswer: p**(-8017\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 6 = -3*u. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-720)\/(-30) + -7)\/(4\/(-4))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 140*l - 145*l = 25, -6*l - 131 = -0*u - 8*u + 3*u - 1 for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = 5*h + 7. Let g(z) = 2*z**2 - 3*z**2 + 2*z**2 - 6*z + 3 + 0*z. Is g(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ddm when three letters picked without replacement from cdqmdqcqcz.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r and 1 o when three letters picked without replacement from ooorooorrooooorooo.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -m**3*n + 595*m**3 - 22*m*n + 49 wrt m.\nAnswer: -6*m*n + 3570*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - s - 30 = 2, -4*o = -s - 122. Suppose -36*l + 14*l + 528 = 0. Calculate the greatest common divisor of o and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7165*y + 7165*y + 541*y**4)*(14*y - 11*y + 11*y).\nAnswer: 7574*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*t**4 + 2*t**4 + 3*t**4 + 2*t**2 - t**4 - 2*t**2 - t**4 - 2 + 2 + (t**2 - 4*t + 4*t)*(3*t - 2*t**2 - 3*t) - 10*t**2 + 10*t**2 - 3*t**4.\nAnswer: -6*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i = 62 - 22. Let h = -11 - i. What is the units digit of (h - 0)\/(-1) + 21?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 3\/98  (b) -1\/4  (c) 0.3  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -44456091.09360165 - -0.09360165. Let v = x + 44456141.000006. Let g = 50 - v. Round g to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-1\/9)\/x*x*(x*x**37)\/x*(x**4\/x)\/(x*x\/(x\/(x*x\/x**(-1\/15)))))**(-2\/49) assuming x is positive.\nAnswer: x**(-3314\/2205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 222595450 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -2  (b) -19  (c) 0.08  (d) 5  (e) -256  (f) -0.2  (g) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.143 - -0.643. What is the biggest value in 5, j, 2\/11, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 181.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/t**4*t)**(-3)\/((t\/t**(-2\/5))\/t*t**(3\/11)) assuming t is positive.\nAnswer: t**(293\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 7, -4944, -7, 6 in descending order.\nAnswer: 7, 6, 2, -7, -4944","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -9 + 4 + -14*(-3)\/6. Find the first derivative of 0*s**2 + 19 + 0*s**q + 389*s**3 - 274*s**3 wrt s.\nAnswer: 345*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qjjjqccjqjc. Give prob of sequence cjc.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 2\/7, -2\/13, 10\/17, 3\/7?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -206\/230295 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) be the third derivative of -1\/840*x**7 + 0*x - 1\/160*x**6 - 1\/6*x**3 + 0 + 131*x**2 + 1\/32*x**4 + 1\/48*x**5. Factor m(c).\nAnswer: -(c - 1)**2*(c + 1)*(c + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.4  (b) -2\/17  (c) -11809\/2  (d) -4  (e) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 11 and 352.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 9676087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -4*d**2 + 8*d**2 + 3*d + 4489 - 4506. Calculate the least common multiple of y(7) and 10.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = n. Let b(z) = -z**2 - 5*z + 27. Let w be b(-8). Let c(h) be the second derivative of 0*h**2 + 0*h**w + 0 + 1\/12*h**4 - 2*h. Give c(t(q)).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -2*u**3 - 3*u**2 - 57*u - 193. Give t(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 3*i + 5*o - 20 = 0, -10 = -2*i - o. Let q(c) = c**3 + 7*c**2 - 26*c + 11. Let h be q(i). Is 324 not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -657 + 719. Sort -0.1, 0.5, m in increasing order.\nAnswer: -0.1, 0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 9  (b) 4  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 31094863.\nAnswer: 2213, 14051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1645, -6628, -14947, -26602, -41593, -59920, -81583?\nAnswer: -106582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 173 times 0.0151?\nAnswer: 2.6123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 270 minutes after 9:06 PM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*3*sqrt(57)\/sqrt(3).\nAnswer: 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2470324 to the power of 1\/2, to the nearest integer?\nAnswer: 1572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 62790?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*i - 0 + 6. Let z = 615 - 623. Let y = i - z. Calculate the highest common factor of y and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/8, -2, -2.84066, 53 in descending order.\nAnswer: 53, -1\/8, -2, -2.84066","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35777*y - 446 = 35696*y + 1012. Suppose -5*n - 21 = -66. What is the greatest common divisor of y and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-6 + (4 - -2))\/(4 - 3))\/1. Which is the nearest to -19?  (a) 0.1  (b) v  (c) -0.2  (d) -18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 10 and 639470.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = -9*c + 4*c - 15, -2*h + 5*c = 0. Let d(v) = -10*v**2 + 22*v - 6. Let i(r) = 7*r**2 - 15*r + 4. Let a(q) = -5*d(q) - 7*i(q). What is a(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 517876?\nAnswer: 2, 129469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2561 - 10885 - 1779708*x + 1779706*x + (-x + 0*x + 0*x)*(3 - 2 - 2) to the form f*x + u and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -t - 1. Suppose f + 5*q + 52 = 0, -f - 160 = 4*f + 5*q. Let i = -25 - f. Calculate the lowest common multiple of o(-5) and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = k**2 + 4*k + 6. Let o be w(-4). Let z = 7 - 5. Suppose -c + 2*b + 726 = 0, o*c + 3*b - 2871 = z*c. Round c to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = c**2 + 27*c - 20. Give j(-28).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1 - 1)\/(2\/(-17)). Let f = p + -4. Does 11 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -33, 5.\nAnswer: -33, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 8871.229 litres?\nAnswer: 8871229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 2*s + 8. Let y(z) be the third derivative of -z**4\/12 - 381*z**2 + 2*z. Determine m(y(n)).\nAnswer: -4*n + 8","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 2*d**3 - 2*d - 1. Let f be h(2). Let c = 9 + f. Suppose 225*s - 222*s = 15. Solve 4*j = -3*k - c, -20 = -j + s*j + k for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1863*f**2 - 3*f - 1857 - 1867*f**2 + 3*f.\nAnswer: -4*f**2 - 1857","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -1 + 19*h**2 - 58*h**2 + 19*h**2 + 12*h**3 + 2 + 18*h**2. Determine u(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -2*w + 98. Give h(19).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 120 and 232.\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3*(-2)\/(6\/(-11)). Suppose -2*b - b + 19 = 2*y, -y = 3*b - a. Calculate the remainder when 23 is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1437, 1436, 1435?\nAnswer: 1434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (q - 2*q**4 - q)*(101 - 205 + 96 - 5*q).\nAnswer: 10*q**5 + 16*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) be the second derivative of -26667*z**3\/2 - 5*z**2\/2 + 5*z. Let r be i(-5). Round r to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1\/(4 + (-51)\/12). Calculate the remainder when 77 is divided by (7 + y)*(-52)\/(-6).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*t - 3*t + t + (0 - 2*t + 0)*(-1 - 2 + 1))*(-62*t**3 + 15*t**3 + 30*t**3).\nAnswer: -119*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-19260)\/(-23112))\/((-20)\/(-78)).\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 208*b**3 + 164.\nAnswer: 624*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = -2*j + 9 - 1, 2*w = j - 1. Let a(h) = 2*h + 2*h**2 - h**2 + 5 - 4 + h**j + 3*h**2. What is a(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + b + 1 = -b, -3*h + 25 = 4*b. Calculate the remainder when 3 is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (2 - -1)\/(1\/(-15)). Suppose 3*j + 98 - 23 = 0. Let z = j - g. Calculate the smallest common multiple of 16 and z.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = u + 3*k + 18, -4*u - 2*k = -52. Let n(i) = u*i**2 + 136643*i - 136643*i - 4. Let w(t) = -2*t. Determine w(n(b)).\nAnswer: -24*b**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1324*4.\nAnswer: -5296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 8033 and 319?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -997 + 1030. Sort s, -5, -4, -2.\nAnswer: -5, -4, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i + 4 - 17 = -2*z, 5*i - 10 = -5*z. Let o be 12*i*(-5)\/(-12). Suppose 7*b - 2*b = o. What is the smallest common multiple of b and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*r**5 + 20*r**4 + 48*r**3 + 4*r**2 - 46*r - 24 = 0. Calculate r.\nAnswer: -1, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = n**2 - 10*n - 7. Let t be j(11). Suppose -2*v = 3*s - 134, -s - 4*v = t*s - 220. What is the smallest common multiple of 4 and s?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express ((0 - 2 + 0)*(-b + 0*b - b) - 2 + 2 - b)*(-966*b + 893*b + 910*b) as t*b**2 + s + p*b and give t.\nAnswer: 2511","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1303526.\nAnswer: 2, 7, 17, 5477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*x + 65939*j - 65941*j + 10, -x = 8*j - 84 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 13*q**2 - 4*q + 2. Determine v(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = k**3 + 9*k**2 + 13*k + 12. Let d be y(-8). Calculate the common denominator of 35\/(-28)*732\/(-30) and 0 + (-82)\/d + -1.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -1\/5544?\nAnswer: -1\/5544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (346\/(-519))\/(293783\/(-293781) - -1). Let z = 66207 - m. Round z to the nearest 1000.\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = o + 3*q - 627 + 119, q = -2*o + 1001. Suppose -249 = -2*z - 0*z + 3*k, 4*z - 5*k = o. Calculate the greatest common factor of 14 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13, 111, -4, -2, 3 in increasing order.\nAnswer: -4, -2, 3, 13, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-8)\/10*(-35)\/1. Suppose p*h = 3660 - 1252. What is the remainder when 168 is divided by h?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44 = c + 4*f, 3*c + 3*f - 7*f - 52 = 0. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/35, 0.5, 2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -r**2 - 31*r + 270. Let s be x(7). Let i(g) = 26*g**2 - g - 3. Let m(f) = 51*f**2 - 2*f - 5. Give s*m(d) - 7*i(d).\nAnswer: 22*d**2 - d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 743.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Product of -9282.2 and 4.\nAnswer: -37128.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*v + v + 90 = 0. Suppose 371 = 8*r + 27. Suppose 8*k - 5 = r. What is the highest common divisor of v and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by 19?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 11 in 0.07, -1, 2854, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (45\/2160*-36)\/(6\/(-184))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 128 and 2880.\nAnswer: 5760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 267*n**3 + 2*n**2 + 16*n - 38. Is v(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 66670.911 nanoseconds to hours.\nAnswer: 0.0000000185196975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 229.29 - 245.6. Let h = z + 0.11. Round h to zero dps.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-11250)\/168)\/15 - ((-41 - -34) + (-306)\/(-42)).\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -290 divided by -58.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 425*r = 417*r + 24. Solve 0 = -10*x - r + 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 908 or 1224?\nAnswer: 1224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-3)\/(-2)*20\/15. Suppose -18 = -j*o + o. Calculate the greatest common divisor of 6 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 60\/(-75)*305*23. Let u = b - -17060\/3. Determine m, given that -392*m**2 - 2401\/3*m**4 + u*m - 16\/3 + 2744\/3*m**3 = 0.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in thirteen fifths of a decade?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2120023326 to the power of 1\/6, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 62000 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -7*c**2 - 4*c - 6. Let w(t) = 248*t**2 - 8*t - 8 + 0 - 3 - 261*t**2. Calculate -7*l(z) + 4*w(z).\nAnswer: -3*z**2 - 4*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-764)\/4775)\/(3\/(-20))*(-3)\/(-4)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 288 + 687168?\nAnswer: 687467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 28 and 473108?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 162 is divided by 49?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 667*o + 6769. What is the ten thousands digit of d(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -z**3 - 8*z**2 + 6*z - 17. Let j be c(5). Let s = j - -320. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9428.\nAnswer: 2, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2\/(-3) - 70\/21. Put -3, n, -5 in decreasing order.\nAnswer: -3, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dvddzpdibddpvbipzdd. Give prob of picking 1 p and 1 z.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-646)\/(-10) - (-6)\/15?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2 - -2818?\nAnswer: 2816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 584 minutes before 6:46 PM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 1331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 390 = 1178*r - 1208*r for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 30996189 to the power of 1\/3, to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -62*z**3 + 238*z**3 + 67*z**3 + 10*z**3.\nAnswer: 253*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -9, -69, -163, -291, -453, -649?\n\"Answer: -17*b**2 - 9*b + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -25723b62 + -4?\nAnswer: -25723b66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 2*w = -124 + 14, 0 = 2*v + 2*w - 58. Let u = v - 8. Let n = 0 + u. What is the greatest common factor of 176 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14347 a multiple of 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4728052 is divided by 22?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 1, i: 2, e: 1, o: 3}. What is prob of picking 1 g and 1 o?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5.9 + 8.9. Let i(x) = 5*x**2 + x - 1. Let z be i(1). Suppose 19 = 2*g + 3*u - 0*u, 5*g = z*u + 10. Which is the nearest to 1?  (a) g  (b) w  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xyxsy. What is prob of picking 1 x and 1 y?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = o**2 + 1043*o - 68512. Give s(62).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 0.57  (b) -4  (c) -2\/9  (d) 1.0128  (e) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 1472, 2980, 4522, 6098, 7708, 9352?\n\"Answer: 17*j**2 + 1457*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1891237 and 39987?\nAnswer: 1481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -4450, -8899, -13346, -17791?\n\"Answer: z**2 - 4452*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dx when two letters picked without replacement from {f: 3, d: 1, w: 1, x: 1, a: 5}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2)\/13 + (-2)\/(-26)*119. Suppose -u*p = -18*p + 27. Let g = 30 + 1. Solve p*q - 7 = -2*o, 5*o + 3*q + 9 = g for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11209.\nAnswer: 11, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -h**3 + h**2 + 3*h - 4. Let t be m(3). List the prime factors of t*(-1 + (-2 - -2)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -38*b + 33*b + 10. Sort 3, b, 1.\nAnswer: 1, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-13 + 14)\/((-1)\/((-10)\/(-2)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 17*j + 227. Calculate the lowest common multiple of o(-13) and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = 4*l + 11, 2*l = -5*f + 1 + 6. Let t be (4\/6)\/(l\/(-135)). Let a = -4 + 14. What is the greatest common factor of a and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -314479474, -628958946, -943438418, -1257917890, -1572397362?\n\"Answer: -314479472*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*f - 3356 = -3278 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/(-1))\/((-38)\/(-266))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -j**3 - 10*j**2. Let r be 1 - -25 - (-3 - (3 + -8)). Suppose 15*w + 126 = -r. What is c(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/5?  (a) 1  (b) 1.2  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*f - 46*f + 49*f**2 + 33*f - 8 + 103*f**2.\nAnswer: 152*f**2 + 2*f - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 1994.6 to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6357 is divided by 60.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -1826, -1642, -1458?\n\"Answer: 184*n - 2010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-293 - -241)*(-2)\/(-8) - -13. Solve j*d = -2*d - 4*q - 2, 17 = -5*d - 4*q for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-20)\/(-8)*(4\/1 + -2). Which is the closest to -0.2?  (a) j  (b) 1\/5  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -696.8854 + 0.8854. Which is the closest to 1?  (a) -1  (b) r  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-5)\/((-25)\/20)*16689*10\/60 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -46997*m**3*t - 22*m + 2*t - 500 wrt m?\nAnswer: -281982*m*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 552.9949 + -0.1.\nAnswer: 552.8949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 27706, 27706, 27680, 27616, 27502?\n\"Answer: -2*o**3 - o**2 + 17*o + 27692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 449, 446, 441, 434, 425, 414, 401?\n\"Answer: -w**2 + 450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 4*r**2 + 46*r + 536. Calculate the remainder when n(-15) is divided by 187.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 5623 + -30?\nAnswer: 5563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 376.0960005 - 375.996. Let s = -2 - -2.1. Let t = s - a. What is t rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -83\/2810 and 27\/3091.\nAnswer: 30910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 202095 + -1?\nAnswer: 202094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4071383 + 6690105. Let o = j - -13681278. Round o to the nearest one million.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -12 and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -f**3 + 2*f**2 + 3*f + 2. Let o(w) = -w**2 + 7*w + 7. Let i be o(9). Let q = 9 + i. Give z(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 times 0.004\nAnswer: -0.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2301?\nAnswer: 3, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.02 + 7.02. Let p = 12 - q. What is the second biggest value in 0.2, p, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 829470 and 339270.\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -32*o + 196. Let a be k(6). Let m(d) = -d**3 + 0*d - 10 + 3*d**2 + 4 + 7*d. Let s be m(a). Solve -s = -0*i + 2*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 836.2 - -187.7. What is v rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = b**2 + b - 1. Let s(r) = r**3 - 2*r**2 - 4*r. Let l be s(3). Let x be w(l). What is the second smallest value in x, -0.5, -5\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 12 + 1 + (5 - 9). What is the greatest common factor of y and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-56 + 99 - 58 + 7*h)*(2*h - 2*h - h) as x + j*h + c*h**2 and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 2024514, 2024513, 2024512, 2024511, 2024510?\n\"Answer: -w + 2024515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 2, u: 1, p: 1}. Give prob of sequence puww.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 917710201 to the nearest integer?\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 2, n: 2, e: 1, i: 1, g: 4}. What is prob of sequence rnei?\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -9\/220?  (a) -1  (b) 0  (c) 2\/7  (d) -2  (e) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -33582.4234 rounded to the nearest one thousand?\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*b + 15 = 15*b. What is the smallest value in -5, b, -1\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r - 13*w = 8*r - 17*w - 52, -4*r = -41*w + 38*w - 37 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + s - 63 = 0, 2*b + 2*s = 7*b + 66. Let d = -6 - b. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 47.2019 and -0.2?\nAnswer: -9.44038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = i**3 + 2*i**2 - 11*i + 15. What is t(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(2156)*-1*1 - ((sqrt(396)*2)\/sqrt(9))**2*-3).\nAnswer: -14*sqrt(11) + 527","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1322 + 3?\nAnswer: -131c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/32 of a milligram in nanograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -j**3 + 6*j**2 - 5*j - 9. Suppose -2*h + 3*b = -2, 3*b = -h - 0 + 10. Let p be g(h). Differentiate -11*d**p - 22 + 17*d**3 + 6*d**3 wrt d.\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 24 divided by -101?\nAnswer: -24\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:06 PM and 10:30 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0 + 0. Let v = 94848 - 94847. What is the nearest to z in v, 2, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f - 18*f = 19065 - 18945 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 896488?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (70\/(-6))\/(515\/(-618)). Solve 10 = b - 3*n, -3*b + u = -2*b - 5*n for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = f**2 - 6*f + 5. Let m(d) = -d + 1. Let a = -10 - -11. Let y be -3 + -3 + a + 3. Let q be (0 - (0 + -1))*y. Determine q*i(c) + 11*m(c).\nAnswer: -2*c**2 + c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 56615*h**2 - 4865*h - 70. Let x(t) = 45292*t**2 - 3892*t - 55. Let a(g) = -11*n(g) + 14*x(g). Find the second derivative of a(m) wrt m.\nAnswer: 22646","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -b**2 + b - 3. Let z be p(0). Let f be -1 - ((-10 - z) + 0). What is the tens digit of (0 - f)\/(4\/(-10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -2258910 and -2258910 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3624 and 1466361.\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(98)*-1)**2 + sqrt(98) + sqrt(98) + 3.\nAnswer: 14*sqrt(2) + 101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -670*v**5 - 4*v**4 - 6706*v**3 + 125366*v**2 - 67*v.\nAnswer: -40200*v**2 - 96*v - 40236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 e when two letters picked without replacement from ggggee?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -3*c**3 + 6*c**2 - 27*c - 1. Let a(h) = h**2 + 2*h - 1. Let d(f) = -2*a(f) + n(f). What is the second derivative of d(o) wrt o?\nAnswer: -18*o + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -25 - ((0 - -5) + (-45 - -36))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -o + 43. Calculate the remainder when 132 is divided by q(9).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1228147?\nAnswer: 1228147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -3*i + 4*r, 2*i + 4*r - 15 - 1 = 0. Let t(h) = -h**2 + 7*h - 8. Let b be t(i). Let u(l) = l**2 - 4*l + 5. What is u(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 58, 9, -60, -137, -210, -267, -296, -285?\n\"Answer: 2*h**3 - 22*h**2 + 3*h + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-102 + 210 - 15*j**2 - j - 107)*(66*j - 3023 + 3023).\nAnswer: -990*j**3 - 66*j**2 + 66*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -478, -955, -1432, -1909?\nAnswer: -2386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s**8\/((s*s**(-12))\/s))\/((s\/(s\/((s\/(s\/(s\/((s*s**(-2))\/s))))\/s)))\/s)**(-38))**(-8))**(-1\/7) assuming s is positive.\nAnswer: s**(464\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-6)*s**(-11))**26 assuming s is positive.\nAnswer: s**(-442)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 914 - 610. Is 8 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -335 - -338. Let r(m) be the third derivative of -1\/20*m**5 + a*m**2 + 0 + 0*m**4 + 2\/3*m**3 + 0*m. Differentiate r(p) with respect to p.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t + 8*r - 17 = 4*r, 0 = -2*t - 4*r + 2 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 22\/6 - (-5)\/15. Suppose -59 = -3*u - 2*w, 10 = z*u + w - 62. Round u to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2366 + 2368. Is u smaller than 98\/107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -93333, -93334, -93335, -93336, -93337?\nAnswer: -93338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 63 + -70. Let h(r) be the second derivative of r**4\/24 - r**3\/6 + 5*r**2\/2 - 7*r. Let l(b) be the first derivative of h(b). Give l(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 155 minutes before 3:35 PM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3979\/(-17646) + 11\/187?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-275)\/11*4\/(-20).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 332 (base 9) to base 14\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -47, -111, -189, -281, -387, -507, -641?\n\"Answer: -7*l**2 - 43*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine w, given that 2*w**5 - 10*w**4 - 16*w**3 + 24*w**2 = 0.\nAnswer: -2, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 3*(1 - 0) + -12 + (6300 - 1). Calculate the highest common factor of 1850 and l.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (4*(sqrt(1600) + -2*sqrt(1600))*5)\/((sqrt(1152) - 6*(-1*sqrt(1152) + sqrt(1152)))*-6).\nAnswer: 3 + 25*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.5, 482, 12\/161?\nAnswer: 482","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 923179.7l?\nAnswer: 923179700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -22 - -24. What is the least common multiple of 10 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4356300 rounded to the nearest 100000?\nAnswer: 4400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*k + 0*k - k)*((-2 + 4 - 3)*(3 - 4 + 3) - 3 + 6 - 5 - 767 + 285 + 395).\nAnswer: -182*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 11*k**2 + 46*k - 391. What is the units digit of w(12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 3*x - 202 = 23, -x - 149 = 3*g. What is the remainder when (g\/(-40))\/((-6)\/(-160)) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m - 5*f - 81 = 0, -3*m + 463826*f - 463828*f = -102 for m.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -65 = 20*h - 25*h. What is the remainder when 2\/3*69\/2 is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve p + 91 - 105 = -3*h, 5*h - 3*p - 28 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Add together 3 and -8.2.\nAnswer: -5.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5021 - 1449 = 188*c. Let p(w) = -w + 14. Calculate p(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uumdlmmmmmmdmm. Give prob of sequence ud.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(((-1)\/(-3))\/((-6)\/90))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 77022.43 litres?\nAnswer: 77022430","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 43*t**2 - 196*t - 4. Calculate the smallest common multiple of f(6) and 18.\nAnswer: 3312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = v**3 + v**2 + 1. Let c(f) = 66*f**3 + 44*f**2 + 44. Give -44*b(g) + c(g).\nAnswer: 22*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is o in -6*o**5\/7 + 24*o**4\/7 + 6*o**3\/7 - 96*o**2\/7 + 72*o\/7 = 0?\nAnswer: -2, 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = -4*w - 91, 9 = -2*w + 3*l - 24. Let x be 2\/((-6)\/(-8)*w\/(-36)). Solve -5*s = -6*s + x for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 137*a**3 - 135*a**3 + 0*a + 62 - 3*a + 4*a + 2 to i + w*a**3 + p*a + q*a**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 54*w - 41. Suppose r - o = o - 8, -5*r + 3*o = 5. Calculate the remainder when 194 is divided by z(r).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*i**2 + 76 + i**2 - 76 + 149*i**3 - 3*i**2 to the form q*i + d + t*i**3 + w*i**2 and give t.\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 12167363?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 12289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1130*t + 2197*t - 774 = 1153*t for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3\/8, -0.1, 6, 2149\/1166?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -53*a = -394*a + 8774953. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 805920.6ms to microseconds.\nAnswer: 805920600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 5010407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5*w + 0*w + 2 + 3*w)*(-5*w - 12*w - 8*w)*(2 - 2 + w)*(10 + 3*w - 10) in the form o*w + t*w**4 + q + f*w**2 + b*w**3 and give t.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*r - 3*r + r**4)*(-5 - 24 + 5) to the form o*r**4 + x*r**3 + g*r + l*r**2 + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -5\/116, -158.3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 54583, 54502, 54421, 54340?\nAnswer: 54259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0  (b) -4  (c) 12.84621\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 23\/8 of a millennium in months?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 7859\/372 + -323\/62. Let t = h - 21\/4. Calculate the common denominator of 32*(1 - 0 - (-43)\/(-36)) and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (2 - (0 + 4))\/(-7). Let z = -2 - -1.5. Let s = z - -0.3. Which is the closest to k?  (a) -2\/9  (b) s  (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 269316 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 2 + 9*r**2 + 2*r**3 + 2*r**3 - 12*r**2 + 7*r. Let u(n) = -2*n**3 + 2*n**2 - 4*n - 1. Suppose -5*y + 2 + 33 = 0. Calculate y*u(s) + 4*k(s).\nAnswer: 2*s**3 + 2*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -42614273.1 + 2605145.1. Let l = 40009139.0000019 + w. Let h = l + -11. What is h rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 1, -3\/7, 14, 5, -74 in decreasing order.\nAnswer: 14, 5, 1, -3\/7, -1, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 65*n + 197*n = -2820 - 8351 - 1405 for n.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 66905446*i**4 + 52807143*i**2 wrt i?\nAnswer: 1605730704*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*a + 14 + 16. Suppose 10*r - 3*m = 5*r + 16, 3*m = -a. Suppose 0 = -3*x - 2*w + 421, 0*x - r*w - 425 = -3*x. List the prime factors of x.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4754272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -d + 2*d. Calculate the remainder when 38*(-1 - 4)\/(-10) is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*w - 3*w - 1026 + 2*w**2 + 3*w.\nAnswer: 2*w**2 - 1026","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 81*h**2\/4 - 628839*h + 4881956641.\nAnswer: (9*h - 139742)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 57889 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 2\/1170699?\nAnswer: 2\/1170699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*v + 591585 - 591755 for v.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18488141?\nAnswer: 7, 359, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.13 and -5145.09?\nAnswer: 668.8617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) be the second derivative of x**3\/3 - 16*x**2 - 6*x. What is the remainder when 10 is divided by u(19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 360 minutes before 7:08 PM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand h + 2*h + 2*h - h - h + h - h - 3*h + 5*h + (-3 + 3 + 2)*(-h + 2*h + 0*h) + 2*h + 3*h - 3*h + 3 + 2*h - 3 + (-1 + 2 - 2)*(2*h - 3*h - 2*h).\nAnswer: 14*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 6\/(-33) - ((-333)\/187)\/3. Put v, 0.2, 1\/2 in decreasing order.\nAnswer: 1\/2, v, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -18*j**3*l**2*w - 2*j**3*l*w - 4*j**3*l - 6*j**3*w - j**3 - 2*j**2*l**2*w + 28*l**2*w wrt l.\nAnswer: -36*j**3*w - 4*j**2*w + 56*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4039942?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*j**2 - 8*j**2 + 209*j**3 + 206*j**3 + 6*j**2 + 103*j**3.\nAnswer: 518*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 417659529?\nAnswer: 3, 7, 19888549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) be the second derivative of w**9\/756 - w**5\/10 - 2*w**3 - 13*w. Let s(l) be the second derivative of m(l). What is the second derivative of s(t) wrt t?\nAnswer: 80*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - (10 - 6)) + 0 + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = -3*j - 3 + 4, 3 = -o - 5*j. Suppose 2*g = 14 + o. Let w(t) = 3*t - 18. Let n be w(g). Let l(h) = h**3 - 7*h**2 + 3*h + 8. Give l(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1371 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15951321.\nAnswer: 3, 17, 137, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 6*w = -215. List the prime factors of w.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1848 - 71?\nAnswer: -18b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1385 - -123. Let i = z + 2077. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4*-2 - 41\/((-697)\/306)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 0.04+9804538.8878\nAnswer: 9804538.9278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 times 2.45?\nAnswer: 1.225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*x**2 + 10*x**3 - 47 + x**2 + 90 - 37 to f*x**2 + c*x**3 + l*x + q and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 283199287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 56865730 a multiple of 1576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1121302 - -232441?\nAnswer: -333311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) be the second derivative of -3\/32*r**5 + 2*r + 5\/336*r**7 + 26 - 1\/8*r**3 - 1\/80*r**6 + 19\/96*r**4 + 0*r**2. Suppose z(n) = 0. What is n?\nAnswer: -2, 0, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 3 + 0)*(w - 3*w - 2*w) + (3*w + w - 5*w)*(-5 + 2 + 1) + w - w + w + (-2 + 3 + 0)*(4*w + 0*w - 6*w).\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 68*q - 3308 = -1132. Suppose 4*j = -4*w + 652, -4*w + 4*j + 201 = -427. What is the highest common factor of q and w?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 minutes after 1:13 AM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1813*n + 1922*n + n**2 - 4134*n.\nAnswer: n**2 - 399*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 249817820 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 13 - 1bbb?\nAnswer: -1ba8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 8 and 1036.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + 5 - (-13 - -16).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 19 = 4, 2*y - g + 5 = 0. Let c(p) = -4*p**3 - 7*p - 8. Let a be c(y). What is the greatest common divisor of 24 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -6430 + 6590. Let z(v) = 7*v**2 + 2*v - 4. Let n be z(-4). Calculate the highest common factor of n and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 297 = -3*q, 3*q = 6*q + 4*h - 279. Let z = -468 + 482. Calculate the remainder when q is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = h - 0. Let t(l) be the second derivative of -2\/15*l**6 + 4*l + 0 + 0*l**4 + 2\/3*l**3 + h*l**5 + 0*l**2. What is the second derivative of t(w) wrt w?\nAnswer: -48*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 - 6 + 13 + 41*i**2 + 2.\nAnswer: 41*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-555)\/(-21) - (-6)\/(-14). Let b(c) = 9*c + 2. Let q be b(2). Solve q = -2*t + o for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) be the second derivative of 0*w**3 - 1\/12*w**4 - 27*w + 27\/2*w**2 + 0. Let x(p) = 6*p - 11*p + 6*p. Calculate b(x(h)).\nAnswer: -h**2 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-15)\/9*(-18)\/20. Let c = -0.07 + 0.01. Sort -0.1, c, g in decreasing order.\nAnswer: g, c, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 2*a - 3. Let h(r) = 11*r - 25. Let l(j) = h(j) - 6*i(j). Let z(o) be the first derivative of -8*o - 1\/2*o**2 - 2. Calculate 7*l(w) - 6*z(w).\nAnswer: -w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 14238627833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*d + 84 - 3054. What is the remainder when 1982 is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -2*m**3 - 2*m - 1. Determine y(2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -242262, -242380, -242496, -242610?\nAnswer: -242722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 582498*k - 8. Let f be b(-4). Round f to the nearest 100000.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1213.\nAnswer: 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 966596109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 12015918 and 8.\nAnswer: 48063672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = i**2 - 87*i + 1781. Let v be j(54). Which is the closest to 1?  (a) 5  (b) -1\/33  (c) v  (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -21 + 25. Let o = -99.5 - -16.5. Let i = 82.99 + o. Is i less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-280)\/(-126) + (-2)\/9 - 1688\/(-8). Calculate the greatest common factor of 15123 and q.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 1, p: 1, d: 1, t: 2}. What is prob of sequence tt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 698581.\nAnswer: 13, 17, 29, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -4553*w**3 - 4*w**2 - 9*w - 11. Is y(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that h**2\/2 - 2595*h + 6734025\/2 = 0.\nAnswer: 2595","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Product of 101 and -4.\nAnswer: -404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -2*c**2 + 3*c - 2 - c**2 + 2*c**2. Let f be q(1). Solve 2*p + 2 + f = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 99 + -89. Let n = t + -5. Suppose -2*d = -3*w + 58, -6*w + 3*w - d + 43 = 0. Solve 3*l = -0*u - u - w, -36 = 4*l + n*u for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is c in -4*c**5\/5 + 316*c**4\/5 - 636*c**3 - 29452*c**2\/5 - 6016*c + 12480 = 0?\nAnswer: -4, -3, 1, 20, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from mmmaaammmamamammmmm.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(1573) + 1) + 0 + sqrt(1573) + -4.\nAnswer: -2 + 33*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-5 - -6) + -4 - -8. Suppose -3*w - b = -6*w + 81866, 2*w - 54600 = -t*b. What is w rounded to the nearest 1000?\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve p**5\/4 - 67049*p**4\/4 + 561392453*p**3\/2 + 18564792583*p**2\/2 - 77627256859*p\/4 + 39374953835\/4 = 0.\nAnswer: -35, 1, 33541","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Total of -6 and -0.420294.\nAnswer: -6.420294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*h**2 + 4*h**2 - 3*h**2)*(-6*h + 3*h + h)*(5*h - 2*h - h) as x*h + d*h**4 + w*h**2 + t*h**3 + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(931) + 2 + 1)*1 + -2)*4.\nAnswer: 4 + 28*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -523 (base 14) to base 9.\nAnswer: -1343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 129*l - 125*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2\/23 + 15\/92. Let r(n) = -3*n + 34. Let h be r(11). Suppose -h = -m - 3*o, 2*m + 5*o - 7 = -4. What is the biggest value in c, m, -0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.3 - 0.2. Let k = m - 0.5. Let i = k - -0.39999956. Round i to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) be the third derivative of d**4\/12 + 5*d**3\/3 + 593*d**2. What is r(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 414 = -291. Let u = 238 - y. List the prime factors of u.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that 5*d**2 + 630*d - 47435 = 0.\nAnswer: -179, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:40 AM and 2:04 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -g**3 + 47*g**2 + 62*g - 606. Let h be v(48). Calculate the greatest common divisor of h and 138.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*q + 3*q = -132. Suppose -2*t - m + 5 = -18, 3*t + 5*m - 38 = 0. What is the highest common factor of q and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 170865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -110*t**3 - 12*t**2 - 21*t. Let f(j) = 35*j**3 + 4*j**2 + 6*j. Give 7*f(a) + 2*k(a).\nAnswer: 25*a**3 + 4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -363 - -167. Let n = s - -197.5. Which is the smallest value?  (a) 1  (b) n  (c) 1\/6  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11*-0.5\nAnswer: 5.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 7*r**2 + 7*r - 5. Let s be u(1). Suppose 17 = 3*i - 7. Let y be 6 - 5*(-4)\/(-10). Solve y*c = 4*k + i, -3*c + 5*k + s = c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7502 is divided by 125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in three eighths of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 29\/2 of a century?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 28 - 19. Let x = 18 - c. Calculate the lowest common multiple of x and 5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1)\/(-1) - (-2 + 3 - 3). What is the second smallest value in -1, a, -3.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -5, 7, 21, 31, 31, 15?\n\"Answer: -o**3 + 7*o**2 - 2*o - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -2062217, -4124274, -6186331, -8248388, -10310445, -12372502?\n\"Answer: -2062057*y - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {x: 3, n: 1, r: 4, t: 2, b: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*u - 836 = -4301. Calculate the greatest common divisor of u and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -26, -108, -252, -464, -750, -1116, -1568?\n\"Answer: -z**3 - 25*z**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = g + 1. Suppose 0 = g*j + 7*j - 1610. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-14)\/1*(2 + -5). Calculate the greatest common divisor of u and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d**2 + 7*d - 4. Let w be s(4). Suppose m = -m + 4. Let y(u) = -u**2 - 5*u + 8. Let h be y(-6). Solve m*x - w = -h*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.1*11.539\nAnswer: -1.1539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 94950 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) be the second derivative of -r**5\/5 + 3*r**4\/4 + 5*r**3\/12 + 101*r. Determine y so that t(y) = 0.\nAnswer: -1\/4, 0, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 174*o**4 - 103*o - 272*o**4 + 173*o**4 wrt o?\nAnswer: 900*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1160238.787 + 732.\nAnswer: 1160970.787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x - 4. Let v be l(3). Let t be v\/(-2)*(-4)\/2. Let f be (t + -19)*6\/(-4). What is f rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 572?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(11) - (0 + sqrt(11) + sqrt(11)*-2 + sqrt(11))) + 4 + sqrt(11)*1.\nAnswer: 4 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 3886, 7770, 11654?\n\"Answer: 3884*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 32674848 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uuau when four letters picked without replacement from {u: 5, a: 13}.\nAnswer: 13\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -s**2 + 5*s - 6. Let c be w(2). Suppose i = -c*i + 12. Is 8\/12 - (1 + (-12952)\/i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -481*f**5 - 23*f wrt f.\nAnswer: -9620*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: ((-72)\/72)\/(2\/4*(-54)\/(-135))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2318 or -2135?\nAnswer: -2318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q - 6445 = 5*l, 3*q + 6837 - 2003 = -4*l. Let s be (-4)\/(-18) + q\/(-126). Let i = -8 + s. Solve z + 3*m - 2 = 0, -2*z + i*z + 1 = -2*m for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**3\/3 + 24878*o**2\/3 + 58061*o + 99540.\nAnswer: -(o - 24885)*(o + 3)*(o + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (549\/54)\/((-663)\/442*2\/6)?\nAnswer: -61\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -192 + 171*c - 723*c**2 + 79*c + 345*c**3 + 37*c + 337*c + 3*c**5 - 57*c**4.\nAnswer: 3*(c - 8)**2*(c - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 516*j + 1258 + 821 - 13431 for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 418694?\nAnswer: 2, 209347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1125 = -8*a - 17*a. Calculate the remainder when (207\/(-2))\/(3 - a\/12) is divided by 42.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) be the third derivative of 413*v**5\/12 - 639*v**4\/8 - 798*v**2. What is the second derivative of w(f) wrt f?\nAnswer: 4130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -852*r + 39267. Give d(48).\nAnswer: -1629","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 - 19 = 31*u + 5*y + 15 + 18, -4*y = -8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w = -3*w - 4. Suppose -p - 2*d = 0, -p - 2 = d + w*d. Let y(r) = 2*r**2 - 6*r - 4. What is the least common multiple of p and y(5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 3 - 2)*(-2 + 2 - 3)*(0*n + 0*n + 5*n)*(n + 0*n + 0*n).\nAnswer: 15*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -1216590.184 to the nearest one hundred.\nAnswer: -1216600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16635.\nAnswer: 3, 5, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = f - c, -2*f + 6*f + 17 = c. Let a = 4 - 3. Let p be (a - f\/(-12))*3. Solve 4*q + 8 - 2 = -3*i, -i - p = -4*q for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (203 - 205)\/(2 - (-1 + 1)). Let k = 777 + -45. Let g = 8058\/11 - k. Which is the biggest value?  (a) -0.4  (b) g  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2057) + sqrt(2057) + sqrt(2057)*2 + 3 + sqrt(2057) - sqrt(2057) - sqrt(2057)) + 2)**2 + 3*(-2 + sqrt(2057))*-5.\nAnswer: 165*sqrt(17) + 18568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -25893 - -25970. Solve -z*x = -73 - 81 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 66 = -4*n + 78 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0  (b) 2  (c) 6\/1697  (d) -130\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-312 + 312 + 105*n)*(123*n + 61*n - 139*n) to s*n + u*n**2 + w and give u.\nAnswer: 4725","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-c**2 + 4*c**2 - c**2)*(-c**2 + 6*c**2 - c**2) + (1 - 1 - 2)*(0*c**4 - 3*c**4 + c**4).\nAnswer: 12*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*a - 2*u - 64, u = -a - 0*a - 14. Let t be 3\/(-4) - 9\/a. Which is bigger: t or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (0 + (-40)\/(-15))\/((-4)\/6). Let k be 6\/(-3) - (2 + b). Solve -4*x + 4 = -2*v, k = x - 3*v - 1 - 5 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 689 is divided by 49.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -36 + 10. Let o = q + 29. Let f be (24\/(-210))\/((-2)\/5). What is the biggest value in o, 5, f?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 238146396?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 36  (b) 136  (c) 4  (d) 13\/1270\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 8429.736 to the nearest integer.\nAnswer: 8430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-30)\/8*(-11)\/((-66)\/24). What is the tens digit of -2 + 2414\/10 - 9\/n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 4*y - 19. Suppose -1 = 2*p - 13. Let f be i(p). Suppose -3*x + 4*h = -1145, -4*x + 715 = f*h - 791. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 + -4 + 15 + 8 + (1 - -3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 37917857 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -88 - -89.06. Let i = -0.16 + w. Let p = i + -0.5. Sort 1\/2, 4, p in decreasing order.\nAnswer: 4, 1\/2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*d - 14 = 5*d. Suppose 1354*u - 1346*u - 120 = 0. Solve 0*r + r - 5*i - u = 0, 0 = 4*r + d*i - 16 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 1, r: 5, m: 3, d: 3, o: 2, l: 1}. Give prob of picking 1 t and 1 d.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -6\/5, 4, 0, 5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1710746 (base 8) in base 11?\nAnswer: 309802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 - 2 - (8 + -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is u in 3*u**4 + 12822*u**3 + 395103*u**2 + 2138472*u = 0?\nAnswer: -4243, -24, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0 + -2. What is the tens digit of 7\/7 + (n - -12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.149134*-5\nAnswer: 0.74567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = r + 2 - 16, -72 = -4*r - 4*b. Calculate the common denominator of -131\/18 and (r\/51)\/(10\/(-166)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -13 - -27. Let d be (-12)\/(-6)*3 - (0 + 1). Suppose -d*u - 49 = -c. What is u rounded to zero decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -1625*g. Let a be c(-4). Let m = -3 - -6. Suppose -2*q - m*q = a. Round q to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -46235393 less than or equal to -46235402?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 (base 8) in base 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 10*t**2 + 4*t - 4. Let c be h(-4). Suppose 63*l - 518 - 742 = 0. Calculate the highest common divisor of c and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.115821 - 114.184821. Let d = -114 - t. What is d rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6 - 0) + -137 + 113 + (-9 - (-5 + 1))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*m**3 + 0 - 9*m + m**3 - 1 + 74*m in the form r*m**3 + c + a*m + q*m**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:50 PM and 8:53 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -63 + 5 + 2*q**2 - 1681*q + 1681*q + 8.\nAnswer: 2*q**2 - 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 4*d = 360. Let s = d - -341. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 4*o = 26, -3*x + 0*x = -3*o - 24. Let z be 3\/(-9) - 20\/(-6). Let m be 8*z\/18*3. Solve 0 = x*j - m*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 32650 and 600.\nAnswer: 391800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qp when two letters picked without replacement from {l: 1, q: 1, p: 2, v: 1, b: 2, m: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 61\/94 and -85\/16?\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 7802500 to the nearest one hundred thousand.\nAnswer: 7800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -17, -2\/15, -2, 2 in ascending order.\nAnswer: -17, -2, -2\/15, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 456 minutes before 12:04 PM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = v**3 - 4*v**2 + 4*v - 3. Let f be o(2). Suppose 5*d - 7 = 4*y - 20, 3*d - y = -5. Let a = f + d. Put 0.5, a, -6 in descending order.\nAnswer: 0.5, a, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-15)\/(-6))\/(1\/(-2)). Let f be (1 - -6)*1\/1. Let y = f + v. Solve i - y*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y = y + 364. Let b = 1426 + y. List the prime factors of b.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2\/(-4)*(15 - -5). Let s = o + 26. Calculate the smallest common multiple of s and 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*o - 6*o = 4*g - 8, 0 = 2*g - o - 8. Suppose 6 = -n + 2*t, 2*n + 0*t - 12 = -2*t. What is the nearest to g in -5, n, -2\/11?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*i - 12, 4*b - 2*i + 4*i - 26 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -145, -55, 193, 677, 1475, 2665?\n\"Answer: 13*b**3 + b**2 - 4*b - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00002207452 to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12020\/3005)\/((-5)\/(45\/24))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) be the third derivative of h**5\/450 - h**4\/45 + h**3\/15 + h**2 + 3. Solve b(o) = 0 for o.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 13 + -15 + 1\/2*6. Find the common denominator of -23 and 52\/18 - (v + 0).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 41665 (base 7) to base 6.\nAnswer: 115344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 1 k when two letters picked without replacement from {d: 2, h: 7, k: 2}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) be the third derivative of -c**5\/60 + 416*c**2. Let w(x) = x - 6 + 6 + 7*x. Determine w(f(l)).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 79 + (-2 + -781)\/27?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.126 - -8.126. Let t = 11 - 7. What is the second smallest value in -2, v, 1\/4, t?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 784 and 428176?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Add 33430836 and -0.089.\nAnswer: 33430835.911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2404*f**2 + 1153*f**2 + 1252*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 3*c*h**3 + 1480*c - 535*h**3 wrt c?\nAnswer: 3*h**3 + 1480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n + 28 = 2*i + 78, i + 53 = 4*n. Is ((-12)\/n)\/((-7)\/441) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xxxx when four letters picked without replacement from {x: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*u + 17*u + 0 + 0.\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 978 and 96306594?\nAnswer: 978","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13.97583nm to micrometers.\nAnswer: 0.01397583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:05 AM and 5:11 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j = -6*j + 36. What is the remainder when j is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 57\/5 of a kilometer?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 133*b - 10 = 128*b. Calculate the common denominator of 2\/15 and 543\/(-81) + b - (1 + -3).\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*x + 100 - 4*x + 3*x + 0*x + 105 - 311 + 104.\nAnswer: 4*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 195\/(-6) + (-1)\/(-2). Let d = -12 - i. What is the remainder when 59 is divided by d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -182*m - 14. Let d(k) = -61*k - 5. What is -11*d(z) + 4*r(z)?\nAnswer: -57*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 9*q**2 + 7*q + 4. Let j(o) = -4*o**2 - 3*o - 2. Let v(f) = 6*c(f) + 13*j(f). Calculate v(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-8 - 3) + -4 + 14 + 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 12601198331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -15*d**2 + 19*d**2 + 1872*d + 6*d**4 - 1874*d - 1 + 4*d**3 to the form c*d**4 + b*d**3 + v*d + r + o*d**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 4*t - 48. Let n be k(12). Let u be (-1 - (-5 + 5))*n. Solve x + 3*x = u for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36*w - 74*w + 39*w = 2*t + 11, 3*t + 18 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 518578117?\nAnswer: 103, 421, 11959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.0681 + 0.1681. Sort 154, 0.4, 5, p in increasing order.\nAnswer: p, 0.4, 5, 154","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -n**2. Let i(c) = 247805*c**2 - 1. What is i(p(w))?\nAnswer: 247805*w**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.03  (b) -1465  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 45 > 52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5428*m + 382*m - 3021*m.\nAnswer: -8067*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) be the first derivative of -c - 3. Let d(h) = -h**2 + 5*h - 3. Let y be d(3). Let q(p) = p**3 + p**2 - 2*p + 3. What is y*m(j) + q(j)?\nAnswer: j**3 + j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:02 PM and 10:39 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1396 or -76716\/55?\nAnswer: -1396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/(y*(y\/y**(-28))\/y))**(-1\/36) assuming y is positive.\nAnswer: y**(7\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*5*sqrt(10)\/sqrt(2)*6)**2.\nAnswer: 72000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -1482, -2966, -4464, -5982, -7526, -9102?\n\"Answer: -d**3 - d**2 - 1474*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/5 less than or equal to 5.8699?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -24 + 0*v**2 + 3*v**2 + 2*v + 12 + 2*v**3 + 5*v**2.\nAnswer: 2*(v - 1)*(v + 2)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -97*v**3 - 5*v - 3. Let b(a) = -389*a**3 + a**2 - 21*a - 12. Let d(q) = -4*b(q) + 18*n(q). Let z be d(-2). Round z to the nearest one hundred.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.4 and -107125.\nAnswer: -107124.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1838*d**3*v**2 + 5778519*d**3 + 253*v**4 wrt v?\nAnswer: 3676*d**3*v + 1012*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.2 + 0.2. What is the nearest to -0.2 in i, -3, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1571910 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -161, -349, -539, -737, -949, -1181, -1439, -1729?\nAnswer: -2057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 3, -2\/11, -3\/5, 46.\nAnswer: -3\/5, -2\/11, 1, 3, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) be the first derivative of 0*s**3 + 11\/2*s**2 + 0*s - 1\/2*s**4 + 17. What is the second derivative of b(v) wrt v?\nAnswer: -12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) be the second derivative of -r**6\/9 - 3*r**5\/5 - 17*r**4\/18 + 4*r**2\/3 - 267*r. Determine h, given that c(h) = 0.\nAnswer: -2, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 12 in 1, -3, 2\/3, 0.14?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 6213890489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 1599 divide 103997073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1.3 + -4.4. Let q = s + 3. Let g = 8.7 - 3.7. What is the nearest to 0.1 in -1\/2, g, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x - 4*p = -49, 32 = -4*x + 336*p - 334*p for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 69 - -6?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 2 - 2)*(-m - 3*m - 6*m)*(m + 0*m - 3*m + 1).\nAnswer: 20*m**2 - 10*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 5 + 0 + (-4 + 5 - 2)*(1 + 0 - 2))*(-j**4 + 5*j**4 - 3*j**4).\nAnswer: 3*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 42 and 9?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -g**3 + g + 1. Suppose 10*y - 4*a - 14 = 12*y, 5*a + 16 = -y. Let d(s) = 7*s**3 - 4*s - 4. Calculate y*d(z) - 4*v(z).\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 59\/43600148 and -34\/5.\nAnswer: 218000740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) be the second derivative of -635209*d**4\/4 - 1594*d**3 - 6*d**2 - 887*d - 1. Factor b(l).\nAnswer: -3*(797*l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*i - 428 + 12 = 0. Suppose i = 2*r - 3*l + 6, l - 25 = -5*r. Solve 3*y = 2*k - 1 + 9, 0 = r*k + 4*y - 26 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -m**2 + 33*m + 101. Let u be j(36). Sort u, -3, 1, -5 in increasing order.\nAnswer: u, -5, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 120150 and 0.5.\nAnswer: 120150.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -g**2 - 33188*g - 232233. What is t(-7)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*o**2 + 3*o - 3*o + 5*o**2.\nAnswer: -7*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5 + 2*z + 0*z**4 + 10*z**2 - 3*z**4 - 10*z**2 to the form n*z**3 + h*z + c*z**2 + k + f*z**4 and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 6 + -14170?\nAnswer: -14162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4103585.\nAnswer: 5, 97, 8461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.2, 43\/4, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that 15*s**4 - 490*s**3 + 285*s**2 + 1110*s + 320 = 0.\nAnswer: -1, -1\/3, 2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 51\/4 of a meter in millimeters?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by 21992.\nAnswer: 1\/5498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -31 - -31. Let p(s) = s + 7. Let d(l) = -5*l**2 + l + 1. Let o be d(-1). Let u be p(o). Which is bigger: q or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -6*o**5*s**3 - 34613*o**5*s - 2028429*o*s**3 wrt o.\nAnswer: -120*o**3*s**3 - 692260*o**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -19*x + 14*x. Suppose -j - x*z + 15 = -2*j, 3*j - 5*z + 48 = 0. Find the common denominator of -143\/36 and j\/(-22)*378\/98.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1 + -3098799?\nAnswer: -3098798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -81  (b) -1137  (c) -71  (d) 3\/4  (e) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*u + 3*u + 3*h + 6, 2*h + 12 = 4*u. Differentiate 18*i**u + 22*i**4 - 12*i**4 + 0 + 51 wrt i.\nAnswer: 112*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in -0.05, -3, 7, -18?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = s**3 - 4*s**2 - s - 6. Let k be p(5). Let w = k + -18. Calculate the remainder when 30 is divided by w\/22 + (-246)\/(-22).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 126.1 rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 80*o - 3. Is v(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(2*sqrt(196) + sqrt(196))*-6)\/(((sqrt(96) - sqrt(24))*5)\/(sqrt(24)\/sqrt(2)*3)).\nAnswer: 378*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 3226 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00012726859 rounded to 7 decimal places?\nAnswer: -0.0001273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 7\/5 in 0.3, -1\/3, -0.206?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000662354831 rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 13600.4654 rounded to 0 decimal places?\nAnswer: 13600","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Let d = 26 - 4. Suppose 0 = 3*g + c - 39, -4*g + 5*c + 28 + 43 = 0. Suppose 4*f - 8 = 0, 2*z - g = -5*f + 8. What is the lowest common multiple of z and d?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 34\/4 + 11 + 95\/(-10). Suppose -3*r = 0, 11*r = -3*a + f*r + 1602. List the prime factors of a.\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 20206169 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 296402799 to the nearest integer?\nAnswer: 17216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -19 + 21. Let l(n) = 19*n**3 + 2*n - 5. What is the tens digit of l(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1011112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when -9*4\/12*-73 is divided by 56?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:23 PM and 3:19 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bxo when three letters picked without replacement from {o: 7, x: 2, b: 3}?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -2*j. Let h(r) = 5*r - 1. Let x(k) = 6*h(k) + 14*l(k). Calculate the least common multiple of x(5) and 1\/(-3)*0 + 14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2592, 5132, 7672?\nAnswer: 10212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 400*b - 5106 - 95283 = -754*b + 1163 for b.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*q + 5*q - q)*(0*q**2 - 3*q**2 + q**2) + 4*q**3 - 2*q**3 + 0*q**3 + 65*q**3 + 254*q**3 + 211*q**3.\nAnswer: 528*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:42 AM and 2:26 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 37 + -20. Let w(b) = -212*b + 84. Let g be w(-4). Let j = g - 660. Calculate the greatest common factor of j and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 27422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((d**7\/d)\/d*d)\/d)\/d)\/d*d*d*d*d**5\/d*((d**(-3)*d)\/d)\/(d\/d**(-8)))\/(d**(-3\/7)\/(d\/(d\/(d\/(d\/d**0)*d))))**(-2\/11) assuming d is positive.\nAnswer: d**(-174\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2902?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 15 = 4*u, 5*f = 3*f - 5*u - 35. Let t(s) = 9*s**3 - s**2 - 5*s + 1. Let z(a) = -2*a + 5*a**3 - a**3 + 0*a**3. Determine f*z(x) + 2*t(x).\nAnswer: -2*x**3 - 2*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 111200022 (base 3) to base 6\nAnswer: 114055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -92597 or -92615?\nAnswer: -92597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = u**2. Let i(j) = 9*j - 2. Let d(n) = 19*n - 5. Let w(y) = -2*d(y) + 5*i(y). What is t(w(r))?\nAnswer: 49*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 + ((-882)\/46 + 3)*(-35)\/(-70)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3447982?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1882458 and 68205?\nAnswer: 9412290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 123 divide 48906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 2340\/100 + (-4)\/10 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1 and -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(272) + (4 + (-2 + sqrt(272) - sqrt(272)) - sqrt(272)))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1035.04 - -1055. Let i = y + 0.04. Let b = i - 15. What is the second biggest value in -7, b, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-200)\/12*3\/(-2). Is 16 a factor of (-10)\/w + 222\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -35 - -37. Let o(g) = 4*g**3 - g**2 + 5*g - 5. What is the units digit of o(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 2, p: 1, u: 1, b: 2, r: 1, f: 1}. What is prob of sequence bbfp?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1519 + 1515. Which is the nearest to -5?  (a) 3\/7  (b) o  (c) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:13 PM and 11:32 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 69*r = 116*r + 131*r - 1602 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 128507891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f**6*f)\/(f*f*f\/f**(-1\/6))*(f*(f*f**(1\/3))\/f)**(-40))**(-3\/10) assuming f is positive.\nAnswer: f**(291\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -3, -72, 121 in decreasing order.\nAnswer: 121, 4, -3, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, -21, 3.\nAnswer: -21, -6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**29\/h**(-21) assuming h is positive.\nAnswer: h**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + -3*(sqrt(1452) + 1) + -2.\nAnswer: -66*sqrt(3) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -14308.45 rounded to the nearest 100?\nAnswer: -14300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3375 and 1500.\nAnswer: 13500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/5 or -152?\nAnswer: -152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 2641.38354 milliseconds in days?\nAnswer: 0.00003057156875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -28 - (-63 - (-144 - -154)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/3)\/((-84)\/(-18) - 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2691 divide 48159495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -132*(160\/15)\/8. Let l be (3\/2)\/(328\/j - -2). Let g(n) = 5*n + 6. Let k be g(0). Solve 0 = 5*s - 3*s + 3*i - l, -3*s - i + k = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.09 - -0.05. Let s = l - -1.86. Sort -1\/2, s, 1\/2, -0.1.\nAnswer: -1\/2, -0.1, 1\/2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 14 - 6. Suppose 8*z + j = 4*z, -5*z = -3*k + 22. Suppose 0 = r + k, 15 = i - r - 2*r. Solve -3*o - i = -2*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -3, 4149, -8, -38 in descending order.\nAnswer: 4149, -2, -3, -8, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 17933 and -0.1.\nAnswer: -1793.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 111\/6*(-4)\/(-2). Suppose x*q - 2178 = 28*q. Does 11 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1188 and 3828.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-9)\/15 - 28\/(-5). Let h = -29 + 41. Solve -3*l - q = h, -l - 10 - 10 = -r*q for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in one fifth of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 568 - 560. Calculate the least common multiple of d and 14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*y**2 - 4*y**2 + 3*y**2)*(y**2 - y**2 + 2*y**3) + y**5 + 4*y**5 + 6*y**4 - 3*y**5.\nAnswer: 4*y**5 + 6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0, 0.1, 15, 4\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:50 PM and 3:39 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-3)\/5 + 3546\/(-90). Sort g, 2, -4 in ascending order.\nAnswer: g, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 330 + 2?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = f**3 - 9*f**2 + 27*f - 32. Let t be b(5). What is the fourth smallest value in -0.8, -9, 2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 241872744 is divided by 61.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1046.\nAnswer: 2, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1d76 (base 16) to base 7.\nAnswer: 30663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = -t, -s + 71*t - 67*t = -19 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -974.5257 rounded to 1 decimal place?\nAnswer: -974.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -472\/29 + 17026\/957. Find the common denominator of k and -55\/21.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -620 divided by -9.\nAnswer: 620\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g = h - 1, g + 47*h = 43*h - 9 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) be the first derivative of -1\/2*k**4 - 1 + 0*k**3 + 0*k**2 + 4*k. What is the first derivative of q(x) wrt x?\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 101306 = 14*a - 56936. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*l**5 - 2*l**5 - 3 + 5)*((52 + 16 - 10)*(1 - 4 + 0) - 1 + 2 + 0)*(-6 + 3 + 4).\nAnswer: -173*l**5 - 346","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-17*k + 34*k - 63 - 16*k)*(4*k - 6*k - 24 + 104).\nAnswer: -2*k**2 + 206*k - 5040","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-64285)\/(-2967)*-3*2\/(-5).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 985*g - 31. Let b(x) = 19*x. Determine b(i(j)).\nAnswer: 18715*j - 589","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.1 or -3\/77083973?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 9175 or 9176?\nAnswer: 9176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.5 > -0.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(68) + -1 - sqrt(68))*2)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 237.46 + -237. Let s = -52.46 + x. What is the biggest value in s, 4, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -206125\/57 - -10849\/3. Factor -40\/19*h - 200\/19 - p*h**2.\nAnswer: -2*(h + 10)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - 17) + (-206 - -218)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -2*b**2 - 1. Let i = 2 - 1. Let o be q(i). Is o at most as big as -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 138 divide 117166260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (3\/2 + -1)*2. Let j(h) = -h - 4*h + 8*h + r. Determine j(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 51*g**3*m + g**3 - 72173*g**2*m + 912336*g + 1 wrt m.\nAnswer: 51*g**3 - 72173*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zffffzff. Give prob of picking 1 f and 2 z.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 4, 5, 472, -4 in decreasing order.\nAnswer: 472, 5, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1\/59, -20.38, 0.4, -1, 0, -3\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nwm when three letters picked without replacement from {n: 1, r: 1, j: 1, c: 2, m: 1, w: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-8)\/(-72))\/(-11 - 23\/(-2)). Which is the second biggest value?  (a) -340  (b) 1\/2  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 390 and 129?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8402540180*z**4 - 10088787376*z**3 + 1687396008*z**2 - 1149008*z + 196 = 0. What is z?\nAnswer: 7\/20497, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w = -5*s + 45, -28 = -4*s + s + 2*w. Suppose -5*v + 25 = u, 0*u = -2*v + 5*u + s. Let j = -37 + 72. Calculate the highest common divisor of v and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 70*p = 69*p - f + 3, 7*p - 12 = -2*p - 4*f for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 5295 divide 1600907916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*j + 4*j - 2*j)*(2*j**3 - j + j) - 6 - 3*j**4 + 6 + (j**2 - 2 + 2)*(11*j**2 - 4*j**2 + 5*j**2) - 2*j**4 + 2*j**4 + 3*j**4.\nAnswer: 16*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3 - 2. Let p be (-1 - -1)*t\/2. Let f be 3 - (-5)\/(-6 + 1). Solve 2*b = f - p for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*x**3\/4 - 10575*x**2\/4 + 1863000*x - 437416875.\nAnswer: 5*(x - 735)*(x - 690)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((sqrt(384) - (sqrt(384) - (sqrt(384) + (sqrt(384) - 4*(sqrt(384)*1 + sqrt(384) - sqrt(384)))))) + sqrt(384))\/(sqrt(36)\/(sqrt(3) + -2*sqrt(3))).\nAnswer: 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -246*x**3 - 246*x**3 + 490*x**3.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c**(-4)*c)\/c*c)\/c)**(-20) assuming c is positive.\nAnswer: c**80","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*a**2 + 3*a**2 - a**2 + (-5*a**2 + 3*a**2 + 0*a**2)*(0 - 2 + 4) + (76*a - 154*a + 76*a + (1 + 6 - 5)*(-3 + 3 - 2*a))*(-a - 2*a + 4*a).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by -1567?\nAnswer: 4\/1567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 10 - 6. Suppose -g + y - 2 = -22, -92 = -l*g + y. What is the greatest common factor of g and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*g**3 - 2*g**2 + 2*g**2)*(4*g - 6*g - g) + 0*g**3 + 2*g**4 + g**3 - g**4.\nAnswer: 10*g**4 + g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((sqrt(65) + (sqrt(65) - (sqrt(65) - (sqrt(65) - sqrt(65)*-2 - sqrt(65)))))*-1)\/(5*sqrt(25)\/sqrt(5)) + -3 + -4.\nAnswer: -7 + 3*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -60302 (base 8) in base 6?\nAnswer: -310402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 3, 1\/3, -7.96, -3, 1\/7 in descending order.\nAnswer: 3, 1\/3, 1\/7, -3, -5, -7.96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -8*s + 76. Suppose 108 = 82*f - 70*f. Calculate p(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2458793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:45 AM and 9:13 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand 668*c**4 + 89*c**4 - 204*c**4 + (0 + 1 - 3)*(0 + 4 - 5)*(-3*c**4 + 4*c**4 - 2*c**4).\nAnswer: 551*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 5*i - 4 = 67, -15 = -k + 4*i. What is the remainder when 37 is divided by k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v = 5*u - 9 - 1, 0 = 4*u + 5*v + 33 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:11 AM and 7:39 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -100*s = -137*s + 541 + 273 for s.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -11*v**2 - 14451*v + 351825 wrt v.\nAnswer: -22*v - 14451","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 102*h**3 - 314*h**3 + 103*h**3 + 105*h**3.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 1001194*h. Let t(p) = -1286*p**2. What is t(g(n))?\nAnswer: -1289072801367896*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 67 = -3*d, 3*k - 2*d + 0*d = 46. Let b be k\/(-10)*(-40)\/16. Solve 5*m + b = -p - 21, -5 = -4*p + m for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 5*w**2 + 104*w + 20. Let s(l) = -9*l**2. What is y(s(d))?\nAnswer: 405*d**4 - 936*d**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -749 + 749.3. What is the third biggest value in c, 15, 0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 160, 139, 120, 103, 88, 75?\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6661570 and 11660.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:53 AM and 1:13 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 4304, 4449, 4606, 4781, 4980, 5209, 5474?\n\"Answer: y**3 + 138*y + 4165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (655*u**2 + 703*u**2 - 1455*u**2)*(2*u**2 - 2*u**2 + 5*u**2).\nAnswer: -485*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (559 + 664*t - 559)*(t + t + t)*(-2*t + 5*t - 2*t) to g + w*t + d*t**3 + r*t**2 and give d.\nAnswer: 1992","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 357 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -h**2 + 12*h - 10. Let i be p(11). Let s be (9 + -9)\/(i*-1). Let m = -3 + 2.7. What is the nearest to 0.08 in m, 0.2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3.35 - -176.35. Let v = x - 174. Let w = -1 - 3. What is the nearest to -0.1 in 0, v, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9)\/(-1938)*-3*(-2672)\/6012.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 114519?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 3*v**3 + v**2 + 2*v - 2. Let j(p) = 5*p**3 + 2*p**2 + 5*p - 4. Calculate -5*h(l) + 2*j(l).\nAnswer: -5*l**3 - l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 81, 86, 115, 180, 293, 466, 711?\nAnswer: 1040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -101073, -101072, -101071?\n\"Answer: d - 101074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*b = -10*b + 15 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(220)*-1)\/((sqrt(20) + sqrt(40)\/sqrt(2))\/sqrt(4)) - (1*-3*sqrt(11) - (-3*(sqrt(11) + sqrt(11)*3) + sqrt(11)))**2.\nAnswer: -704 - sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Product of -46.56 and -0.1.\nAnswer: 4.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 434 a factor of 714995904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 3*l = -18, 6*l = 5*u + l - 50. Suppose -f + u = 4*x, 4*f + 16 = -0. What is the tens digit of 684\/52 + x\/(-26)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*i + m - 4995 - 4682, -m - 7747 = -4*i. What is the tens digit of (-7)\/((-21)\/(-12)) - i\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -54*x = -150*x - 175*x - 506*x - 24864 for x.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 0*30\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 153 = -3*w + 2*w, 0 = -5*n - 4*w + 183. Suppose 43*a = n*a + 80. Solve -5*p + a = -p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 1384834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3456454 - 3455044.843. Let u = t + -1410. What is u rounded to 2 dps?\nAnswer: -0.84","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*a**3 + 3*a**3 - 4*a**3 + (-4*a**2 + 3*a - 3*a)*(3*a + 2 - 2))*(0*a - 4*a + 2*a)*(3 - 5 + 0).\nAnswer: -44*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 708 - 720.68. Let j = 0.12 - g. Let l = j + -12.799891. What is l rounded to 5 decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -48*f**2 + 18*f**2 + 303*f**2.\nAnswer: 273*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:48 AM and 9:57 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z = z. Let y(t) = -t + z*t + 9*t**2 - 3*t + 1 - 7*t**2. Let h be (3\/(-3))\/((-2)\/(-4)). Let l(d) = -d**3 + 3*d**2 - 5*d + 2. What is h*l(o) + 3*y(o)?\nAnswer: 2*o**3 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -67\/434 and 31\/104734.\nAnswer: 3246754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*p + 3*p + 1448*p**2 - 443*p**2.\nAnswer: 1005*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 668794327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0023500054 rounded to four decimal places?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cbc when three letters picked without replacement from {b: 7, o: 1, c: 9, r: 1}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -332*t**2 + 990*t**2 - 294*t**2 - 330*t**2.\nAnswer: 34*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 12811.07 + -12811. What is the second smallest value in 0, m, 59, 1\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-49*v - 2*v + 92*v)*(-1 - 4 + 3) - 2*v - 4*v + 8*v.\nAnswer: -80*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 2 w when three letters picked without replacement from wwwwwwawcwcwww.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 2*l + 5. Let b(a) = -a**2 + 4*a + 3. Let t be b(4). Let o be n(t). Let p be (6\/9)\/(6\/99). What is the greatest common factor of p and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 149332 and 151552?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (g + 2*g - 5*g)*(0*g + 2*g + 0*g)*(-3 + 3 - 1)*(2 + 1 - 5) + g**2 + 4 - 4.\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*sqrt(104)\/(-2*sqrt(128)).\nAnswer: -3*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 309080 rounded to the nearest 10000?\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -1856, -1882, -1908, -1934, -1960?\n\"Answer: -26*q - 1830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -2\/3, -0.4, 216, -1, 1\/4, -3, 1.088?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 23.5 - 23. What is the nearest to 3 in n, 2\/7, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1.01 - -1.51. What is the closest to 12 in p, 0.2, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 28125 is divided by 1764?\nAnswer: 1665","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 350, 134, 7, -1 in increasing order.\nAnswer: -1, 7, 134, 350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -5*a + 3. Let i be (-10)\/(-7) + 93\/(-21) + 5. Give k(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4*((-584)\/160)\/73\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -62 + 68 - 132*t + 93 wrt t.\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 1010 and 3.\nAnswer: 1013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14591 is divided by 506?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -395*t + 9. Let b(x) = -x + 2. Let n(g) = 5*b(g) + m(g). Is n(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 10*s - 5*j + 130, -10*j + 13*j = -s + 1 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -14*u**2 - 41*u + 1. Determine g(-5).\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -88*k + 87*k + 2609 = 0. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -471 + 192. Let y be t\/(-31) + (-5 - -1). Solve b = 0, y*u - 3*b = -4*b for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -3*w**2 + 2*w - 2. Let v(r) = 16*r**2 - 11*r + 11. Determine 11*a(i) + 2*v(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -131*z**3 + 118*z**3 - 294*z**3.\nAnswer: -307*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 269315 or 269318?\nAnswer: 269315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) be the third derivative of m**4\/12 - 15*m**3\/2 - 34*m**2. Let r be v(25). Let d(t) = 8*t**2 + 9*t + 6. Is d(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/2 of a millennium in years?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -16ba41 (base 13) to base 2\nAnswer: -10001010110011111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -13*o + 4. Let s be k(-2). Calculate the highest common divisor of s and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -6488, -18339, -35546, -58109, -86028?\n\"Answer: -2678*g**2 - 3817*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 7*x + 9. Let p = -6 - 0. Let t be i(p). Find the common denominator of -68\/3 and 14\/(t\/(-3) + 0).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42 = -2*o - 34. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2063.896 + 980.633. Let s = -1084 - d. Round s to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.2, -351756.3, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -3*x**3 - 4*x**2 - 3. Let v be i(-2). Suppose 3 = 3*b + 3*n, 5*n + v = -3*b - 0*b. Suppose -1553 = -b*p + 2262. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qhrihhrrtttjthr. What is prob of picking 1 i and 1 q?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0024884 to four decimal places.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 22499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 1609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50*y - 23 = 27. Let r be 1\/(y + 0) + 20\/4. Let v(i) = i**2 + i. Let k(f) = f**3 - 4*f**2 - 6*f - 1. Give r*v(w) + k(w).\nAnswer: w**3 + 2*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.52 - 0.4. Let u = z - -0.06. Let b = 0.18 - u. What is the closest to 0 in b, 1\/6, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -1 and -21351146 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z and 1 h when three letters picked without replacement from zqqqqzazzqhqhqdzdzh.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 166 = s - 2*p - p, 474 = 3*s - 3*p. Suppose 4*l = -l - 4*c + s, 0 = 4*c - 4. List the prime factors of l.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6 - -6.04. Let l = -0.44 + m. Let w = -0.5 - l. What is the closest to w in 2, 2\/3, 1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = -g - 2*v, -2*g + 3*v + 17 = 3*g. Suppose -28 = -3*b - g. Let i be (27\/(-15))\/(4\/(-100)). Calculate the greatest common divisor of i and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1519232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 6 - ((-18)\/(-4) - 8\/(-4)). Suppose 3*j = -2*j + 5*q - 45, 4*q = -4*j + 4. Which is the third biggest value?  (a) -1  (b) 1\/9  (c) j  (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 181 = -4*i + 4*c + 201, i + 6*c = -2 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3*k**3*l - 124*k**3 + 68*k**2*l**2 + k*l + 15*k + l**2 with respect to l.\nAnswer: -3*k**3 + 136*k**2*l + k + 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 43 + -41. Which is the second biggest value?  (a) k  (b) -1  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) be the first derivative of 0*u + 2 + 0*u**2 + 3*u**3 + 0*u**5 + 0*u**6 - 10\/7*u**7 + 0*u**4. Find the third derivative of q(x) wrt x.\nAnswer: -1200*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 6 in 3, 5540, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 116*r + 145*r + 254*r = -15829 - 9406 for r.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*z + 4*z - 3*z + 2*z - 7*z + 3*z + (2 - 2 + 1)*(z + 3 - 3) - 2 + 2 + 2*z + z - 2*z + 3*z)*(3*z**4 + 0*z**3 + 0*z**3).\nAnswer: 18*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 1829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 811*a - 1578*a + 840*a - 1460 = 0 for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 38.8 plus -66.494695?\nAnswer: -27.694695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 + 1496252118.\nAnswer: 1496252127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0432429298 rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6566*v + 49 = 6573*v for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 612.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 3*i + 6. Let l be h(2). Let a(g) = g**2 - 6*g - 20. Is a(l) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10000010001110011010 + -101?\nAnswer: 10000010001110010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -0.6767374 + -12.98\nAnswer: -13.6567374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*sqrt(190)*-5 + sqrt(190))*4)\/(5*(sqrt(490) + 4*sqrt(490) - sqrt(490))).\nAnswer: 16*sqrt(19)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 2*r = -2, -5*o + 2*o + r + 7 = 0. Let f be (3*1\/o)\/((-450)\/(-895)). Let b = f - 17\/9. Which is greater: -2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 398?  (a) 1\/6  (b) 3\/31  (c) 1  (d) 66\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) be the third derivative of s**4\/24 - s**3\/6 - 59*s**2. Let d(p) = 10*p - 117. Let l be d(12). Let y(n) = 0 + 0*n + n - 1. What is l*w(m) - 5*y(m)?\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xkuqxuqkxx. Give prob of picking 2 k.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 15) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + (2 - 1) - (332 + -329)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -4828643, -9657284, -14485925?\n\"Answer: -4828641*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -329528 divided by 164764\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -669*r**4 + 134*r**2 - 135*r - 318584642?\nAnswer: -2676*r**3 + 268*r - 135","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u + 2*g = 0, -u + 3 = -5*g + 9 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -22*n**2 + 5*n + 25. Let r(i) = -9*i**2 + 3*i + 13. Let f(m) = -2*a(m) + 5*r(m). Calculate f(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 117100515?\nAnswer: 3, 5, 7, 19, 79, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -4 + s**3 + 13*s + 3*s**2 - 6*s - s**2 + 6*s**2 - 9*s**2. What is the least common multiple of b(4) and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 9210*o**3 - 8319*o - 140. Let d(t) = -4606*t**3 + 4159*t + 56. Let h(a) = 5*d(a) + 2*g(a). What is the second derivative of h(x) wrt x?\nAnswer: -27660*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 11213520 to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that 4*w**3 + 11524*w**2 - 631044*w + 8558460 = 0.\nAnswer: -2935, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:46 AM and 10:52 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 443?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) be the third derivative of -g**6\/60 + 4*g**5\/3 - 113*g**4\/24 + 146*g**2. What is the second derivative of s(n) wrt n?\nAnswer: -12*n + 160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 49 divide 693791?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 23 + -23. Suppose -5*o = -0*o - 20. Suppose o*s = k + 38, 5*s - 37 = 2*s + 5*k. Solve v = 3*a + s - 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 61 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: Work out -0.5 * -0.10218.\nAnswer: 0.05109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 419 divided by 10287\nAnswer: 419\/10287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2149\/5122 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-114)\/10 - (-3 - (-23 + 31)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11299 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 {d: 1, l: 3, g: 1, e: 7, k: 4}. What is prob of picking 1 l and 1 d?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) be the first derivative of q**4\/4 - 2*q**3\/3 - 2*q**2 - 3*q - 16. What is n(-2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -144 + 365 = 13*b. Suppose -c + 19 = b. Let w be (2\/(-4))\/(3\/(-6)). Solve -c*s + 3*s + w = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 67538 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out -46 - 17573921051.\nAnswer: -17573921097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 114 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 54745 - 3?\nAnswer: 54742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + 1 + 0 + -2 + 1 + 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (731\/215)\/((-3)\/(-1)*(-10)\/(-150)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -1032*g + 7214. Give d(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 702 minutes after 2:22 PM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -2*o**3 - o**2 + 2*o. Let l(h) = -16*h**3 - 5*h**2 + 32*h. Give 5*j(b) - l(b).\nAnswer: 6*b**3 - 22*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -6*k - 36. Let m(n) = 6*n + 45. Let r(s) = -5*h(s) - 4*m(s). Let f(b) = -34*b. Determine r(f(p)).\nAnswer: -204*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -29 and -0.2971708.\nAnswer: 8.6179532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -x**2 + 15*x - 32. Suppose 156 = -41*v + 53*v. Calculate y(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) be the third derivative of 0*r + 0*r**3 + 0 - 60*r**2 - 1\/24*r**4. Let g(o) = 3*o + 5. What is g(s(t))?\nAnswer: -3*t + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -83 divided by 5186.\nAnswer: -83\/5186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 8 and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1)\/(-6) + (-2 - -2). Let o = 0.38 - 0.08. Let s = 0.101 - 0.121. What is the closest to o in s, x, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -50*a - 5. Let d be j(-12). Suppose 2*v + d = 9*v. What is the greatest common divisor of v and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 5, -1 in descending order.\nAnswer: 5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 95 = 5*z - 2*z, 4*w - 92 = 4*z. Let q = 397 - 269. Calculate the remainder when q is divided by w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + (0 + sqrt(396) + -1)*2)**2 + (-1*sqrt(396)*-5 - (sqrt(396) + 2*sqrt(396))*-5)*6.\nAnswer: 1593 + 792*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 9 + -7. Suppose -2*z - 3*q = -0*z - 67, 4*q - 36 = -z. Let w = z + -162\/5. Which is the biggest value?  (a) w  (b) 0.3  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -t**2 + 2*t - 8. Let z(f) = -3*f**2 + 9*f - 32. Give 9*b(o) - 2*z(o).\nAnswer: -3*o**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -113466*l + 113271*l = 5850 for l.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 19279583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 0, -8, -18, -30, -44, -60, -78?\n\"Answer: -n**2 - 5*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = a - 7. Let j be w(9). Suppose 0 = -p + 2, 4*u - 2*p - 33 = 19. What is the greatest common divisor of u and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bbgbgg. Give prob of picking 2 b and 1 g.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/4  (b) 4.9  (c) 1  (d) -26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -111*o + 1. Let a(t) = 2*t**2 + 1. Give a(p(q)).\nAnswer: 24642*q**2 - 444*q + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 8*l - 18. Let d be k(2). Let h = d - -457. What are the prime factors of h?\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -15449 - -15454. Solve 2*z - 5*z - 6 = 3*t, -3*t - 14 = -b*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -18657 < -18657?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 1094094 to the power of 1\/2, to the nearest integer?\nAnswer: 1046","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t**5 - 112*t**4\/3 - 298*t**3\/3 + 568*t**2\/3 + 1288*t\/3 - 160 = 0. Calculate t.\nAnswer: -15, -4, -2, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -18*y**3 - 5*y**2 - 5*y + 7. Let h = -12 - -6. Let a(o) = 19*o**3 + 6*o**2 + 6*o - 6. Let r(t) = h*x(t) - 5*a(t). Differentiate r(g) wrt g.\nAnswer: 39*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -y**4 + y**3 + 2*y**2 + 1. Let u(t) = 88*t**4 - 6*t**3 - 12*t**2 + 38. Let v(c) = -6*a(c) - u(c). Differentiate v(m) wrt m.\nAnswer: -328*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 2*j + 8 = 0, -10*f + 26 = -5*f - 3*j. Let n = -2 - -2. Solve 2*o + 1 + f = n for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*a + 9*a - 100. Calculate the remainder when 43 is divided by a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dddoddldddovv. What is prob of picking 3 d and 1 l?\nAnswer: 56\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 29934 and 89802?\nAnswer: 89802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((sqrt(16)\/sqrt(4))\/sqrt(2) + -2) + (sqrt(72) - 2*(sqrt(72) - (sqrt(72) + 2)**2) - ((sqrt(72) + -1 + sqrt(72) + sqrt(72))**2 + -4)).\nAnswer: -495 + 79*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 8976 and 544.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 303 - 264. Calculate the remainder when 75 is divided by p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 4, q: 15}. Give prob of sequence ffqf.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of ((2 - -6) + -9)*(-1158 + -1 - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 3 e when four letters picked without replacement from {w: 1, e: 1, i: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zzzzzmzzzzzmmzzz. What is prob of picking 3 m and 1 z?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the second derivative of 2*t**7\/21 + 2*t**6 + 39*t**5\/5 + 37*t**4\/3 + 8*t**3 + 575*t. Find d, given that p(d) = 0.\nAnswer: -12, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 570 and 131328.\nAnswer: 656640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -8*f + 618. What is t(43)?\nAnswer: 274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3643*t**2 + 1876*t**2 + 2*t**3 + 2195*t**2 to the form c + w*t**2 + l*t + m*t**3 and give w.\nAnswer: 7714","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*b**2 - 456544709*b + 6071960 wrt b.\nAnswer: 4*b - 456544709","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = w**3 - 7*w**2 - 486*w + 5127. Give b(12).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -0.184*-2797\nAnswer: 514.648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -4*p**2. Let z(m) = 456 - 2*m**2 - 456 + 0*m**2. What is h(z(y))?\nAnswer: -16*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 976820 rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a - 346 = -3*h + 2*h, -3*a - 1002 = -3*h. Suppose 25 = 6*r - r, 0 = 3*u - r - h. Does 14 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -16177517 to the nearest 100000.\nAnswer: -16200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 10723259?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1, -491, -0.4, -99, -3\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*q**2 + 4 - 4)*(-5*q**2 + 2*q**2 + 0*q**2) + (4*q**2 - q**2 - q**2)*(-35 + 35 - 6*q**2).\nAnswer: -18*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from ooqqooooqoqooq?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/(-4) + 3 + (-44)\/40.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4011*h + 4011*h + 198*h**2)*(-2*h**3 + 4*h**2 - 4*h**2) + 0*h**4 + h**5 - 3*h**4 + 6*h**5.\nAnswer: -389*h**5 - 3*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 4293, 4292, 4291, 4290, 4289?\n\"Answer: -w + 4294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 27\/8 and (2\/(-8))\/((-12)\/(-213)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 14*g - 11*g - 15 = 0, z - 4*g = -20. Solve z = -c + 2*c + 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -m**2 - m + 98. Let k(g) = 11*g + g**3 + 62 + 7*g**2 - 68 - 6*g. Let u be k(-6). Is j(u) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 28\/145 and 23\/5.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 70822920.\nAnswer: 2, 3, 5, 7, 84313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00100612781 rounded to 6 decimal places?\nAnswer: -0.001006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -3803, -6994, -10215, -13472, -16771, -20118, -23519?\n\"Answer: -w**3 - 9*w**2 - 3157*w - 636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1603 - 1415. Calculate the remainder when q is divided by 63.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 473701330?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*f**2 - f**3 + 3*f**2 - 4*f**2 + 3*f**4 - 3*f**3 to the form y*f**3 + q*f + v*f**4 + b*f**2 + d and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 0.4919666 days?\nAnswer: 42505.91424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2485711699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5?  (a) 0.22  (b) 1  (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2964*h - 3010*h + 411 + 95 = 0 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1285 + -3859\/3. Which is the second biggest value?  (a) 11  (b) 0.3  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 21*x**2 - 9*x + 6. Let n be t(-4). What is the greatest common divisor of n and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) be the second derivative of -11\/3*f**3 - 6*f - 1\/12*f**4 + 0 - 6*f**2. List the prime factors of a(-9).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -257882540\/259 + 995684. Let a = -2837\/3885 - x. Find the common denominator of -58\/3 and a.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 454\/7, 2\/21, 0, -1?\nAnswer: 454\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.01099935 - 0.011. What is j rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*v**2 + 3*v**2 - v**4 + v**4 + v**4 + 0*v**4 + (0*v + 0*v + v)*(-v**3 - v**3 + 3*v**3) - 58*v**4 - 53*v**4 + 106*v**4 + v.\nAnswer: -3*v**4 + v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 17205853 and 103904.\nAnswer: 3247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 139133 - 139131. Solve 16\/7*f + 0 + 4\/7*f**5 - 20\/7*f**3 - 12\/7*f**4 + 12\/7*f**b = 0.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s**(-1\/15))\/s**(2\/37) assuming s is positive.\nAnswer: s**(488\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 38*u - 187 + 35. What is the nearest to -1\/2 in 5, 0.05, u?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 91\/810 and ((-478)\/240 + 2)*((-1395)\/216)\/(-5).\nAnswer: 25920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 6038, 6031, 6024, 6017, 6010, 6003?\n\"Answer: -7*b + 6045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 22101809 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 6, r: 4, p: 3}. What is prob of picking 2 p and 1 r?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 590 and 3245.\nAnswer: 6490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = m**3 + 4*m**2 + m - 4. Suppose -24*n + 26*n + 6 = 0. Give f(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -6\/395401?\nAnswer: -6\/395401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 59237978?\nAnswer: 2, 103, 137, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -38, -56, -74, -92, -110?\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of 25.2 and 5.\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.181 - -0.114. Let i = 281503.0670054 - 281503. Let v = i + u. Round v to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t**2 + 1772*t + 31280 = 0. Calculate t.\nAnswer: -17, 460","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/(-12)*(-2160)\/1980?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 261*o = -264*o + 510*o + 60. Solve -6*u - 2*c = -4*u, -o*c - 16 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/5 in -4, 4\/3, -91, 0.1, 0.2838?\nAnswer: 0.2838","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/(-9)*((-190)\/(-10))\/38?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -b**4 - 5 - 2*b**3 - 2 + 3*b**4 + b**2 + 3 as s*b**3 + g + a*b + k*b**4 + p*b**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8 + -3 - -3) + -13.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 218 divide 2157835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 73\/46 - (-2)\/(-23) - 9\/18?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 9*5\/((-15)\/2). Let j(a) = a**3 + 6*a**2 - a. What is the units digit of j(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 41 = 7*x - 83 + 32 - 27 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -20, 0, 8670, -4, -5 in descending order.\nAnswer: 8670, 0, -4, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 2411 and 5151299?\nAnswer: 5148888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 2932 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 34319 by -179.\nAnswer: -34319\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 432.358948 rounded to two decimal places?\nAnswer: 432.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 6927241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-s**3 + 6 - 6)*(-2 + 2*s + 2)*(-1 + 2 + 1).\nAnswer: -4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cncnp. Give prob of sequence pcnc.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1733 - -3911. What are the prime factors of k?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = u - 1. Let z(h) = -4*h + 3. Let f(m) = 8*p(m) + 3*z(m). Let d be f(1). Which is the nearest to -1?  (a) 2  (b) d  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*n**2 + 18*n\/5 - 4\/5.\nAnswer: 2*(n + 2)*(5*n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*p = -3*p - 15. Solve -i - p = -0*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 1031*r + 2985*r - 640*r + 1801*r as w + q*r and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*o, 3*y - 3*o - 3 = -8*o. Suppose -l + y = 6. Let a(u) = -2*u + 5*u - u + 6. Determine a(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 315 - -29?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1281770 (base 9) to base 6.\nAnswer: 23024230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.2099416 and 0.4?\nAnswer: 0.1900584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -21 (base 4) to base 6.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -14 - -18 - 4\/(-1). Suppose 0 = 2*o + b, -3*j + 5*o = -0*j - 500. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*m**2 - 7368*m - 29424 = 0. Calculate m.\nAnswer: -2452, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-9 + -2)*(2 - 1). Let i(n) = 3*n**2 + 4*n + 68. List the prime factors of i(b).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 + (20 - -2) + -40 + 10.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*f = -7*f + 5*t - 136710, -f = -3*t - 34203. What are the prime factors of f?\nAnswer: 3, 5, 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11209573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 113129256?\nAnswer: 2, 3, 241, 19559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 31, 44, 105, 238, 467, 816, 1309, 1970?\nAnswer: 2823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 100122 - 10?\nAnswer: 100112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sum -41 and -1.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -13 + 8. Let r(o) = 1. Suppose -5*k - 25 = -5*s, k = 4*s - k - 14. Let u(p) = -p - 1. Let x(c) = s*r(c) + u(c). What is x(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) be the third derivative of -c**2 - 1\/3*c**4 + 0*c + 0 - 1\/60*c**6 + 2\/15*c**5 + 0*c**3. Solve l(y) = 0 for y.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -172*q**4 + q**2 + 968*q wrt q?\nAnswer: -2064*q**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*z - 4*p + 29 + 18, -3*z = p - 31. Suppose z*q - 50 = q. Solve -4*w = q*l - 16, 3*l - 4*w - 12 = l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -154920 divided by -6?\nAnswer: 25820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(13) + 5*(sqrt(13) + 2*sqrt(13)) - sqrt(13))**2 + 1*(sqrt(1573) + -1)**2 - ((sqrt(208)*-1)**2 + 4 - (-3 + -6*sqrt(208))).\nAnswer: -1566 - 46*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20 = -4*f + 4*r, -65*f + 62*f - 4*r + 22 = 0 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -23\/5 + 29\/5. Which is bigger: 3 or v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 378538433 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = g**3 - 18*g**2 + 2*g + 17. List the prime factors of n(18).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -96\/13 + 631\/52. Let c = x - 1\/4. Calculate the common denominator of c and 13\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Rearrange (107 + 33 - 114312*w - 82 - 58)*(-3*w + 3*w - w**2) to the form s*w + o + c*w**2 + d*w**3 and give d.\nAnswer: 114312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 312 and 117?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*f**2 - f + 2*f - 6*f**2 + (-2*f + 5*f - 4*f)*(-2*f + 2*f + f) + 0*f**2 - f**2 - 2*f**2.\nAnswer: -6*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 56*m - 556. Suppose 0*n - 20 = -2*n. Suppose -o - 4 = -n. What is the least common multiple of o and f(10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25499015 is divided by 2751.\nAnswer: 2747","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let 6*g**2\/5 - 70516728*g\/5 + 207192038659416\/5 = 0. Calculate g.\nAnswer: 5876394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -1.1826 from -31394.19.\nAnswer: -31393.0074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -2\/19, -15\/8, 0, 8\/11 in descending order.\nAnswer: 8\/11, 0, -2\/19, -15\/8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 34 - -9. Suppose -11 = 4*u - i. Calculate the highest common factor of 72 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 259508 is divided by 56?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 15*o**2 - 210532*o - 954720.\nAnswer: (o - 14040)*(15*o + 68)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 27388 and 100367?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 331874441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-188)\/6 + (-4)\/6. Let m = 57 + c. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -34319042 or 4?\nAnswer: -34319042","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 3*g**4 - 8*g**3 + 11*g**2 - 2. Let k(q) = -5*q**4 + 17*q**3 - 22*q**2 + 5. Let n(b) = -2*k(b) - 5*r(b). What is the third derivative of n(j) wrt j?\nAnswer: -120*j + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4959 and 261.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (1\/2)\/((-2)\/(-8)). Let i be h\/10 + 38\/10. Let n be ((-615)\/82)\/((-7)\/((-56)\/(-10))). Solve -2*o - 2*c - n = 0, 7*c = i*o + 3*c - 28 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 2\/7  (b) 3  (c) -2  (d) 1  (e) -197  (f) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 136801505 to the power of 1\/2, to the nearest integer?\nAnswer: 11696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(220) + sqrt(220))\/sqrt(4) + sqrt(495)*-2)\/(-3*(sqrt(125) - (2*sqrt(125) + sqrt(125) - sqrt(125)))).\nAnswer: -4*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(1\/2))**(1\/8)\/(o*o**(-13)\/o*o**(-2\/55)) assuming o is positive.\nAnswer: o**(11527\/880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 3 + 2)*(2*v - 2*v - 2*v) + 3*v - 3*v + 2*v + 2*v + v - 6*v - 2*v + 2 - 2 + (1 - 4 + 2)*(-2*v + 1 - 1) - 2 + 2 + v + 0*v + 0*v - 2*v + 6 - 6 + 8*v.\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 399 minutes before 12:05 PM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = k**2 - 4*k**2 + 2*k**2. Let n(p) = 2*p**3 + 4*p**2. Suppose -5*v = -7 + 2. Let i(y) = v*n(y) + 2*q(y). Factor i(u).\nAnswer: 2*u**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 233.33814ns?\nAnswer: 0.000000003888969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 4*n + 1. Let x(b) = -b. Let f(t) = -5*t - 3. Let i(z) = -f(z) - 6*x(z). Let m(v) = -3*i(v) + 8*j(v). Let k(g) = 5*g + 4. Calculate -k(u) - 4*m(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 7782 and 4?\nAnswer: 31128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 4 + 0 = 0. Let l be (-49)\/28 - h\/4. Let j = -2\/9 + 8\/9. What is the nearest to j in 3, l, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) be the third derivative of o**6\/60 - 137*o**5\/90 + 5*o**4\/2 - 141*o**2 + 2. Suppose r(s) = 0. Calculate s.\nAnswer: 0, 2\/3, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.3 + 1.7. Let w = 0 - g. Let f = w - -1. Which is the nearest to f?  (a) 2  (b) -3\/5  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in fourty-seven quarters of a gram?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 80838 is divided by 337?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2\/3, -3, -1\/8, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 190479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 98861162?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 30*h**2 + 2*h + 6. Let w be ((-12)\/3)\/((-217)\/14 - -15). Let i(q) = 10*q**2 + q + 2. Calculate w*i(n) - 3*v(n).\nAnswer: -10*n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (((-75)\/(-72))\/5)\/((25\/15)\/1)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*z - z - 34 = 6*d - 11*d - 14, 5*z = 26*d - 94 - 11 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 1000110111010100 (base 2) to base 10\nAnswer: 36308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) be the first derivative of x**4\/8 + 5*x**3\/6 - x**2\/4 - 5*x\/2 - 32. Suppose b(s) = 0. What is s?\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.3 + 1. Let o = -0.22 + -0.08. Let b = o - k. Is b less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*v**3 - 164*v**2\/3 + 173*v\/3 - 44\/3.\nAnswer: -(2*v - 1)**2*(3*v + 44)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -11*c - 10. Let m(g) be the third derivative of g**5\/60 + g**4\/12 - 7*g**3\/6 + g**2. Let h be m(-3). Does 31 divide y(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w, 1 s, and 1 j when three letters picked without replacement from {r: 1, j: 2, m: 1, s: 1, l: 3, w: 3}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 3*f**2 - f. Let t be a(1). Suppose -t*s + 22 = -18. Suppose -2*c - 4*h = 6, -3*h - 2*h - s = 5*c. Let i(o) = o**3 + 4*o**2 - 6*o - 5. Calculate i(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -i + 7. Let o be h(6). Let s(v) = -v**3 - 5*v**2 - 2*v - 7. Let b be s(-5). Suppose f - 24 = -b*f. Solve -d - o + f = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0 + 9. Let t(f) = 5*f + 5. Let c = -147 - -145. Let b(m) = 13*m + 13. Let j(o) = 3*o + 3. Let p(d) = -2*b(d) + 9*j(d). Give c*t(g) + s*p(g).\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h + 32 = 10*b + 34, -5*b + h = -4*h - 25 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:00 AM and 10:32 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.076 + 1.036. Let a = -0.9 + i. Let f = a + -4.06. What is the closest to 0 in f, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/(9\/(-3)))\/(7\/(-14)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sum -209.2814 and -90.\nAnswer: -299.2814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -153 + -15e?\nAnswer: -2b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -t**2 - 7*t - 1. Let g be i(-6). Let y = g + -1. Does 15 divide y\/(-14) - (-522)\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 4301042558?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2.2 + 2.31. Let h = 5857 - 5853. What is the biggest value in r, -0.1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7258*m**3 + 2*m - 1274*m**3 + 12628*m**3 - 2*m.\nAnswer: 18612*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2336 + 19467. Does 14 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -83\/264 and 35\/103356.\nAnswer: 206712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 15 = 12. Let h = z - -5. Suppose 3*n + 12 = 0, h = 4*p + n - 2. Solve 11 = -p*f - 4 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 415 + 29*b**2 + 412 + 7*b**3 + 400 - 1227.\nAnswer: 7*b**3 + 29*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 99492587209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 7*g - 7. Let q(i) = 4*i - 4. Let d(m) = 5*q(m) - 3*w(m). Let l(v) = 2*v - 1. Let u(p) = 5*d(p) + 4*l(p). Suppose -3*n + 0 + 3 = 0. Determine u(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -26?  (a) 8  (b) 31  (c) -0.1  (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 32 divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + 14 = w - 5*d, -3*w = -4*d - 5. Calculate the common denominator of (-44)\/9*w + -1 and 75\/(-36)*9\/6.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -78562*j**2*n**2 - 13*j*n**2 + 1525*n**2 wrt j.\nAnswer: -157124*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o**5 + 223*o**4 - 6544*o**3 - 6768*o**2 = 0 for o.\nAnswer: -1, 0, 36, 188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -32*w**5 + 2*w**4 + 44*w + 5. Let v(m) = 33*m**5 - 2*m**4 - 46*m - 6. Let p(s) = -4*a(s) - 3*v(s). Find the second derivative of p(g) wrt g.\nAnswer: 580*g**3 - 24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1498 and 1106?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.4 - -5.6. Let q = 1 - f. Let t be (-448)\/2520*(-5)\/4. What is the nearest to t in 5, q, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 118193921 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -23\/40 - -19\/20. Which is the nearest to q?  (a) 2  (b) 3  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 676 and 33823998?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the second derivative of -5*s**4\/12 - s. Let w(g) = 6*g - 22*g + 16*g - 3*g**2. Calculate a(w(p)).\nAnswer: -45*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*w**2 + w**3 + 2*w**2 - 3*w**3 - 3*w**3.\nAnswer: -5*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 39*p**2 + 36*p**2 - 103*p**2 + 22768*p**3 - 22819*p**3 + 28*p**2.\nAnswer: -51*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -5 - -9375cd?\nAnswer: 9375c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(12) - sqrt(84)\/(sqrt(35)\/sqrt(5))) + (sqrt(12) + sqrt(972)*1 - sqrt(12)))\/((1*1*sqrt(4) - sqrt(4)) + (sqrt(4) - sqrt(1000)\/sqrt(10))))**2.\nAnswer: 243\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 215 + 10?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-2)\/(-3)*123\/8 and (((-12)\/(-32))\/(-3))\/(3\/291).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 19*w**2 - 3*w + 13. Let y(f) = -f**2 + 14*f - 42. Let b be y(5). Calculate the remainder when h(b) is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 37 - 29. Suppose -7*g + 3*g = -h. Solve g = 3*i - 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-5)\/(-4) + 6\/8. Factor 0*u**2 + u**4 + 0*u**2 - u**o.\nAnswer: u**2*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -118*x + 2. What are the prime factors of z(-1)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33504383947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3 + 0. Let y be (-17)\/(-3) + 7\/21. What is the units digit of (-2)\/q - (-22)\/y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1095 and 150234?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 14775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 2*b + 2. Let v(i) = 136*i + 1. Let k be v(1). Let p = k + -127. Calculate the least common multiple of p and w(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 6615*b**5 - 1409045*b**4 + 4197945*b**3 - 4205715*b**2 + 1420700*b - 10500 = 0. What is b?\nAnswer: 10\/1323, 1, 210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-20)\/16)\/5)\/(1\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 138164 divided by 35\nAnswer: 138164\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 27 = -3*b + 2*b, -107 = -5*b + 4*m. Let p = b - 19. Solve 18 = -p*j - 2 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 181\/6 - 30. Let q be 1 + (-2)\/4*2. Is q bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) be the third derivative of -v**4\/24 - v**3 - 8*v**2. Find the first derivative of t(j) wrt j.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 236 minutes after 4:51 AM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-4)\/10 + 12\/30. Suppose f*p - 26 = -k + 3*p, 0 = -3*k - 5*p + 50. Calculate the greatest common factor of 60 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (1\/4)\/(18\/(-1314)) and 17\/13?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*i + 6 = -6. Let b(r) = 26*r**3 + 2*r**2 + 2*r. Let l be b(i). Is l smaller than -26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2)\/8 - ((-1220)\/16 + -3). What is the greatest common factor of j and 869?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13243 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(-10\/13)*y\/(y**8\/y) assuming y is positive.\nAnswer: y**(-88\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -6284  (b) -5\/6  (c) -5  (d) -28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2\/19  (b) -260  (c) 6  (d) 4\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*u + 42711000 = u. Round u to the nearest 10000.\nAnswer: -1860000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z = 11*z - 60. Let w be -3*z\/(-24)*-8. What are the prime factors of 3 - (-778)\/18 - w\/(-18)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-87)\/(-3) + (-5565)\/212 + 338\/8.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 19\/6 - 151\/42. What is the smallest value in n, -3\/13, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8.9 times 2\nAnswer: 17.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2924*n + 1949?\nAnswer: -2924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -3.5747353 to one decimal place.\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 2*n**3 - 74*n**2 - 2*n - 38. Let w be b(37). Let g(f) = -39*f**2 + f + 1. Let k be g(-2). Let h = k - w. Is -45 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/15?  (a) 4\/7  (b) -29\/2  (c) 3  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -5*c**2 + 112*c - 38. Give j(22).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = i**3 - i + 4. Suppose 2*z - 5*t = 20, -21 = -4*z + 5*t - 1. Let n = z - -3. What is the units digit of c(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1570)\/(-1884))\/(10\/4).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 861 and 11991?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 18.74908 to two decimal places.\nAnswer: 18.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.1, 6\/17, -9397, 1\/23?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b**2 + b + 1. Let a be h(-2). Suppose -3685 = -2*t - 3*t + g, -4*g = -a*t + 2211. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 61 + 4\/4*4. Suppose -2*a - 2*q = -7*a + 930, 756 = 4*a - 4*q. Let t = a - n. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 3*l. Let u = -76 - -78. Let y(j) = 433 - 215 - 219 - 12*j**u. What is y(i(g))?\nAnswer: -108*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 4\/16*24\/3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*j**2 - 8*j**3 - 14 - j**4 + 30*j**3 - 20*j**3 + 5*j**2 + j**3 + 2*j in the form t*j**2 + u + w*j**4 + y*j**3 + x*j and give u.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.833113 and -0.75.\nAnswer: 0.62483475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 178893?\nAnswer: 3, 11, 13, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let 32*u**4\/11 + 5150*u**3\/11 - 50434*u**2\/11 - 192708*u\/11 + 12240\/11 = 0. What is u?\nAnswer: -170, -3, 1\/16, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l**(2\/27))**20\/(l**(-4)\/(l**(1\/20)*l)) assuming l is positive.\nAnswer: l**(14327\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:01 PM and 6:46 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 89*k + 141*k + 690 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -o**3 - 35*o**2 + 32*o - 55. Let t be j(-36). Suppose -7*c + 355 = t. Which is greater: c or -0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q = -l + 3*l - 11, 8 = -4*l. Let r be q*(0 + 7\/3). What is the derivative of r - 4 - 3*g - 1 + 3 wrt g?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 3*w - 1 = 6, 5*h = -5*w + 45. Calculate the greatest common divisor of 90 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 93, 95, 97, 99, 101, 103?\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(114)\/sqrt(24)*6)**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.30992 rounded to two decimal places?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 128*q - 123*q - 3*a + 19, -2*a = -4*q - 18. Sort q, 3, -1, -54 in decreasing order.\nAnswer: 3, -1, q, -54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 5\/143149 and -89\/142035.\nAnswer: 36502995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 3\/4  (b) -2\/3  (c) 5  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + 4 + (-5*(-1*sqrt(190) + sqrt(190)))\/sqrt(10) + sqrt(133)\/(sqrt(175) + sqrt(7)) + -3.\nAnswer: -4 + sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ssba when four letters picked without replacement from {s: 2, a: 1, b: 4}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3 and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*v = -21*v + 2385. Is v a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (1\/2)\/((-3)\/(-2)) + 3448\/24 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:17 PM and 11:20 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 52 - 51.882. What is y rounded to 2 decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9622 + 932 = 1759*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 12975 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -43 + 33. Which is greater: z or -11?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -14 + 19 - (-5 + 2 - -13).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -350, 14, 1, 81, 24, 4 in descending order.\nAnswer: 81, 24, 14, 4, 1, -350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 s when two letters picked without replacement from {s: 1, b: 19}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:57 AM and 10:20 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -p**3 - 7*p**2 - 9*p - 3. Let j be n(-4). Let r = -9 - j. What is the third derivative of 0*o**6 - 223*o**5 + 223*o**5 - 2*o**2 - 5*o**r wrt o?\nAnswer: -600*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -906 + (-15)\/(-1)*(-18)\/(-45). Let q = -788 - p. Is q a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5*i - 3 + 3)*(-1 - 3 + 2) + (4*i - 2*i - 3*i)*(2 + 0 + 0) + (4*i - i - 4*i)*(0 + 3 - 4) in the form o*i + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:23 AM and 3:23 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 7*i + 255. Let v(x) = x**3 - 30*x**2 - 101*x + 36. Let o be v(33). Is 3 a factor of g(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 - (-13 - -20) - (1 + 1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 5 = -l + z, z + 7 = -3*l. Let b = l + 2. Factor 4 + b*d + 3*d**2 - 2*d**2 - 4*d.\nAnswer: (d - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -218960868 divided by -6.\nAnswer: 36493478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -5*x - 1. Let y be a(4). Let f(c) = -c**3 - 19*c**2 + 40*c - 3. Calculate the remainder when f(y) is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 + 60\/(-4))\/((-27)\/(-6 + -21))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -139*o = m - 261*o + 118*o, 5*o = -4*m + 21 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Are -343905 and -343910 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -9*t**2 - 5*t. Let r(l) = l**2 + l. Let s(u) = -u**2 - 10*u + 16. Let i be s(-11). Let f(y) = i*r(y) + z(y). Let m(h) = 6*h**2. Give m(f(p)).\nAnswer: 96*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 296 minutes after 9:35 PM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 4*n**3 + n**2 + 8*n + 5. Let u(l) = -2 + 4 + 9*l + 4 + 3*l**3 + 2*l**3. Let o(w) = 4*a(w) - 3*u(w). Determine o(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nvvvnnvnnn. Give prob of sequence vnn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -36\/1983817 and -95\/2288.\nAnswer: 412633936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide -11412 by -18.\nAnswer: 634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*c**2 + 0*c**2 + 2*c**3 + (-20*c**2 + 19*c - 19*c)*(0*c - c + 2*c).\nAnswer: -18*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23909.\nAnswer: 23909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3, 1.3, 1196, -0.1, -4?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1464\/14 + 40\/(-70)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 (base 7) in base 5?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 1, s: 5, f: 3, p: 1}. What is prob of picking 1 f and 1 p?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-21)\/(-63))\/((-6)\/(-63))*(4 + 4)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -57, -42, -27, -12, 3?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 3*i + 2 = 0. Let z be -4 - 0 - (i + 1). Let f = -5.27 - -0.27. Which is the third smallest value?  (a) f  (b) z  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 232817 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - (-1 + (15 - 7))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 12500343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -198*f**3 - 45. Let u(w) = 9*w**3 + 2. Give -45*u(y) - 2*v(y).\nAnswer: -9*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -7, 0.07, 231\/2, 0.\nAnswer: -7, -3, 0, 0.07, 231\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 24869*q**3 - 19900*q**2.\nAnswer: 149214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2 or -5633?\nAnswer: -5633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -61276, -122482, -183616, -244678?\nAnswer: -305668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + 2 + (1 + sqrt(6)\/sqrt(2))**2.\nAnswer: 2*sqrt(3) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -13*d + 18 + 3*d**2 - 4*d**2 + 5*d. Let v be 3\/1*2*(-15)\/10. Calculate the least common multiple of o(v) and 7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 2, -10, -4 in descending order.\nAnswer: 2, 0, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 12) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = 5*n - 0*n. Let g(l) be the second derivative of l + 1\/10*l**4 + 1\/50*l**n + 0*l**3 - 4\/5*l**2 + 0. Factor g(d).\nAnswer: 2*(d - 1)*(d + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 404 is divided by 51?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) 2\/25  (b) 136  (c) 1  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*u + 25 = -g - 2*u, 0 = -5*g + u - 5. Let s be (4 + -2 + g)*(-10)\/4. Let t be (-6)\/(-4) - 2\/1. Put s, -3\/7, t in decreasing order.\nAnswer: -3\/7, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nie when three letters picked without replacement from iiiiniieiiiiii.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 77a5 (base 11) to base 5.\nAnswer: 312104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00156163309 to seven decimal places.\nAnswer: -0.0015616","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*r + 3*r + 3*r + 2*r - 3*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 32*w - 4 + 33*w - 68*w to a*w + s and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 6 - 1\/2*u**3 - 8*u + 7\/2*u**2.\nAnswer: -(u - 3)*(u - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 201524264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*c + 9 = -9. Let u be (-6 + c)*5\/(-15). Suppose t + u = -2*i - 0, 3*t + 3*i - 9 = 0. Is 5 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 97\/24344 and -64\/15.\nAnswer: 365160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3.9 - 20.1. Let n = 21\/4 - 9\/2. Sort -0.3, -2\/3, n, t.\nAnswer: t, -2\/3, -0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 67.3549506s to weeks.\nAnswer: 0.0001113673125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*d - 2*d - d)*((4 - 7 + 2)*(1 - 1 + 2) + (-5 + 4 - 1)*(1 + 0 + 1) + 3 + 0 - 5).\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -49, -87, -147, -235, -357?\n\"Answer: -k**3 - 5*k**2 - 16*k - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 166 minutes after 2:23 AM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w = 7*c - 251, 5*w - 264 = -4*w + 3*w + 4*c for w.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 92 - 87. Suppose 1562 = v*c + 422. Calculate the remainder when c is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3697561845 + -23.\nAnswer: 3697561822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 3*z**2 - 6867*z. Let r(w) = w**2. What is y(r(h))?\nAnswer: 3*h**4 - 6867*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 2*x - 52730 + 52730. Let z(m) = -1905*m. Give v(z(w)).\nAnswer: -3810*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (0 - 2\/7) + 11\/(-35). Which is the second smallest value?  (a) -0.1  (b) -0.4  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 8991007?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 7 + 7. What is the remainder when 1138\/c + (-14)\/49 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -17 - (-27 - (15 - 22) - -10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 0 + -3 + 1 + -216. Let p = 652\/3 + s. Let o = -9 + 15. What is the nearest to p in o, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -31112 (base 5) in base 15?\nAnswer: -907","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:29 AM and 8:35 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 59 divide 15862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -7211 divided by 70850?\nAnswer: -7211\/70850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.02, -0.01331, -2\/15, 0.01 in ascending order.\nAnswer: -2\/15, -0.01331, 0.01, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(17) + -1)**2 + 4.\nAnswer: -32 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -4*l**2 + 1847*l + 7919. Determine n(466).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**0*k*k*k)**(2\/37))**(-19) assuming k is positive.\nAnswer: k**(-114\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -81 + 136. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 123024 (base 5) to base 11.\nAnswer: 3641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2 - 6\/(-5))*-5. Let b = -83 - -87. Suppose -b*n - n + d*v = -3, -2*n - 2*v = 6. Is n greater than or equal to -0.07?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 334909176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is t in 2*t**4\/9 - 4*t**3\/3 + 22*t**2\/9 - 4*t\/3 = 0?\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 7 - 4. Suppose 0*n + 3*c = n - 11, 2*n - c = 42. What is the remainder when n is divided by (-8)\/(-12) - (-22)\/b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) be the first derivative of 5*f + 0*f**4 + 0*f**5 + 19\/3*f**6 - 60 - 3\/2*f**2 + 0*f**3. What is the second derivative of d(g) wrt g?\nAnswer: 760*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -12292 - -12292. Solve w = 68*t - 108 - 96 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 289*n - 37542968 - 10531893 = 0. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1.44 + 0.89. Let h = 9.75 + p. Round h to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -2*i + 59. Let s be (0 - -2)\/((216\/45)\/12). What is the remainder when g(s) is divided by 31?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ha when two letters picked without replacement from {b: 1, p: 4, h: 6, a: 2}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 83924, -1, 11 in ascending order.\nAnswer: -1, 11, 83924","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/(i\/i**(-11)))\/i*i**(-10))\/(i\/i**(2\/7))**22 assuming i is positive.\nAnswer: i**(-264\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fnvfnfnkknnnnnnn. What is prob of picking 2 f?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = -7*l + 158. Suppose -5*m + 66 = -l. Calculate the remainder when m is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -384*g + 363*g = -273 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-28)\/10)\/((-380)\/1900)*(2 - 50\/(-14))?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 161 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -15755, -31510, -47265?\n\"Answer: -15755*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 28711035 is divided by 386.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -12*n**2 - 2*n**2 + 0*n**2. Let h(k) be the first derivative of -11*k**3\/3 - 102545. Give h(d(q)).\nAnswer: -2156*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 19 + -172\/9. Let z = -623 + 765. Let x = z + -1276\/9. What is the common denominator of p and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*r - 121*r - 28*r in the form d + j*r and give j.\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -35*x. Let u be l(4). Suppose 0 = -4*y + 4*o + 12 - 0, 0 = -5*o + 20. What is the common denominator of -73\/2 and (-1276)\/u - (-2)\/y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 12178439431 and -24?\nAnswer: 12178439455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6733 is divided by 1908?\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.42 rounded to one dp?\nAnswer: -5.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 7*c**2 + c - 12. Let h(i) = -20*i**2 - 4*i + 35. Let r(y) = -17*a(y) - 6*h(y). List the prime factors of r(-9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -b**2 + 8*b - 9. Let m be o(7). Let q be ((-16)\/10)\/(2\/(-5)). Is 5 a factor of (9\/m)\/((-2)\/q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 90 and 475545375?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 3, i: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3\/7  (b) 2\/7  (c) 147  (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 187.559145us in days?\nAnswer: 0.0000000021708234375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 219095?\nAnswer: 5, 29, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 3, t: 6, e: 2, m: 2}. Give prob of sequence mm.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*d = 6*d - 4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u*u**(-1\/23)\/u)\/u)\/u*u*u*u*(u\/u**(-1))\/u)**(-7) assuming u is positive.\nAnswer: u**(-315\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 294 = 1470. Let q = 716 + l. Does 36 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 1 m when two letters picked without replacement from qmqyy?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*l + 4*l + 0*l)*(-1155*l**2 - 623*l**2 + 290*l**2).\nAnswer: 2976*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*l + 3*a + 96, 33*l - a + 88 = -32*l + 67*l for l.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence odob when four letters picked without replacement from {o: 2, d: 4, b: 8}?\nAnswer: 8\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1070346 and 17138.\nAnswer: 1558","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 7?  (a) 2  (b) -50  (c) -0.59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) be the third derivative of -g**4\/8 - 3*g**2. Let j(l) = -12*l - 102. Let p(b) = b + 9. Let m(f) = 6*j(f) + 68*p(f). Give m(z(i)).\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43*k = -3200 - 5830. Calculate the smallest common multiple of 30 and k.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-y - 8*y - 11*y)*(y + 2*y - 6*y)*(-3*y + 3*y - y + 1) to the form j + i*y**2 + a*y**3 + d*y and give a.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0 - 0. Suppose -3*a = -2*k + 7, o*k - 3*k + 3*a + 3 = 0. Let b(m) = 9*m - 1. Let s(l) = 13*l - 1. Let i(w) = -3*b(w) + 2*s(w). Give i(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 154, 305, 454, 601, 746?\nAnswer: 889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + 0 - (0 - -4 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {s: 3, b: 6, f: 4, j: 6}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 238 is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 62 a factor of 1253968284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2992, 5972, 8938, 11884, 14804, 17692, 20542, 23348?\nAnswer: 26104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8347?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -106\/1096725 and -19\/4452.\nAnswer: 232505700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21445 is divided by 260.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2c + 5?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.1608 + 0.4608. What is the closest to -1 in 0.01, r, -3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = k**2 + 6*k + 4. Let p(r) = -6 - 4*r - r**3 + 5*r + r**2 + 7*r**2 + 8*r. Let g be p(9). Determine l(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 127722 is divided by 21287.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 244600 is divided by 610?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (12\/9)\/((-2)\/(-3)). Let s(w) = -y + 2 - 7*w. Let c(b) be the third derivative of b**4\/24 + b**2 - 256*b. What is c(s(q))?\nAnswer: -7*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 23687?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = y**2 - 41*y - 119. What is the remainder when 13 is divided by w(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 11291 - 11302.4. Let z = 18 + -18.3. What is the third biggest value in v, 2, z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 504 a factor of 20586006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1.84 or 2\/37?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25751 is divided by 158.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12200 - -100?\nAnswer: 20000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 2*c + 4. Let k be l(-4). Let j be (8\/(-6))\/((-6)\/9). Suppose j*g + 2 = -4. Put -2, g, k in descending order.\nAnswer: -2, g, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 4, 3, -0.2, -0.62?\nAnswer: -0.62","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:12 AM and 8:39 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -167435\/18 + 9308. Let j be ((-1497)\/180)\/((-2)\/3486). Let h = j - 14499. What is the common denominator of h and t?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3330, 3308, 3286, 3264, 3242?\nAnswer: 3220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 41240 - 1?\nAnswer: 41237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 4*q**2 - 26*q + 79. Let a = -48 + 62. What is the units digit of y(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 73802 and 30.\nAnswer: 2214060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1.3, -3, -4, 156 in decreasing order.\nAnswer: 156, -1.3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 2, c: 4, a: 1, x: 2}. Give prob of picking 1 x, 2 h, and 1 c.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:05 PM and 11:16 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11*t + 10*t**2 - 6*t - 4*t to d*t + f*t**2 + p and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -73*u - 834 = 16*u - 3771 for u.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-10)\/(-4)*(-4)\/(-25). Let t = -1.2 - -0.2. Let l = -482\/3 - -160. Which is the nearest to u?  (a) t  (b) -4  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -6*s - 9. Let b be f(-11). Suppose b*r - 492 = 53*r. What are the prime factors of r?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-11)\/(-5) - ((-12)\/10)\/(-6). Factor -v**c + 5 + 4*v + 7*v**2 - 5*v**2 - 2*v**2 + 0*v**2.\nAnswer: -(v - 5)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0 - 6. Calculate the remainder when (-1)\/r + (-95)\/(-6) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 - 3 - 7 - -6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 55029*g + 550229. What is f(-10)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 399 and 247323?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -37.57399 - -8098627.\nAnswer: 8098589.42601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 3386.413km?\nAnswer: 3386413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -32*m**5 + 12*m - 6*m**2 + 6*m**2 - 646 + 659 wrt m.\nAnswer: -640*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (13\/(-39))\/((-2)\/48). Let k be (92\/(-6))\/(j\/(-12)). Solve 3*x = -2*u - 2*x + k, -4*u + 31 = 5*x for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -118, -126, -136, -148, -162?\n\"Answer: -i**2 - 5*i - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 77310 and 5760?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 206226 (base 8) to base 5\nAnswer: 4200013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 6 + -2 + 882\/(-221). Let s = c + 643\/2210. Let h = 1299\/20 - 263\/4. Sort s, 3, h in increasing order.\nAnswer: h, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1578*w**3 + 56080 - 112165 + 56085 - w.\nAnswer: -1578*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:44 PM and 5:25 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*j + 33 - 93. Let z(g) be the second derivative of 0 - 4*g**2 + 5\/6*g**3 - j*g. What is the first derivative of z(q) wrt q?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 56 and 168?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 70265194?\nAnswer: 2, 617, 56941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express 248*h**2 - 4*h**3 - h**4 + 250*h**2 - 58*h - 498*h**2 as x + u*h**2 + v*h + f*h**4 + d*h**3 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/(v*v**(-4\/5)*v)*v\/(v**(1\/4)\/v)*v**(2\/7)\/(v\/(v*v**(-5)*v*v)))\/(v**(-1\/6)*v*v*v**(-1\/6)*v*v*v)**(-46) assuming v is positive.\nAnswer: v**(89671\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-140)\/(-168))\/(10\/2)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3 + 22 + -2 + 0. Let b be -2*(2 + n)*-2. Suppose g + 4*g - b = 0. Is g a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fourty-seven quarters of a litre?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 13 = 3. Solve -y*z - z - 4*j = 3, -5*j - 18 = -z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 171084 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -14145 + 27239. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:51 AM and 11:56 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 285 = 55. What are the prime factors of i?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 70\/693771 and 23\/249046?\nAnswer: 9712794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iij when three letters picked without replacement from zziijj.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -3\/2  (b) -0.1  (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yyyvvyyyy. Give prob of picking 2 y.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1291 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2\/23  (b) -2  (c) 91  (d) -56743\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) be the third derivative of 7*p**4\/12 + 59*p**3\/3 + 2*p**2 - p - 1953. Give o(-11).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 17*i**3 - 12*i**2 + 9*i - 1. Let r(m) = -4*m**3 + 3*m**2 - 2*m. Let h = 3776 + -3774. Let u be (18\/4)\/((-9)\/(-18)). What is h*s(z) + u*r(z)?\nAnswer: -2*z**3 + 3*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(65)*1*-5)\/(-2*sqrt(125)).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -66597*x - 399592. Determine h(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = x**2 + 2. Let z be (-1)\/((-2)\/(2 - 0)). Let d = -1 - z. Is f(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1210c90 (base 14) in base 4?\nAnswer: -200332312332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 519402 and 780?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2\/(-5) - (-3 + (-590)\/(-25)). Is 27 a factor of (u\/42)\/((-1)\/408*1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 702 minutes before 3:45 AM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 3, n: 3, r: 7, z: 1}. What is prob of picking 1 r and 1 l?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2 - -4. Let r be 6*(l\/4 + -1). Let f(a) = -6*a + 1. What is the remainder when 37 is divided by f(r)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1406 (base 7) in base 6?\nAnswer: -2305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 7466 (base 9) to base 3\nAnswer: 21112020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0  (b) 1  (c) 4\/5  (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6916 + 18100. Is 74 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 7\/604 and 11\/228161?\nAnswer: 912644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*w = -3*l + 852 - 748, 58 = 5*l - 20*w + 328 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -215968, -215962, -215956, -215950?\nAnswer: -215944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 103*j - 125*j = -176. Solve -77*y + j = -73*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2.94 + 2.74. What is the nearest to i in 3\/7, 3\/5, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20 (base 7) to base 11.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 36 = 4*g, 4*h + h - 24 = -g. Suppose -542 = -5*w + 3*y - 4*y, -3*y + 438 = g*w. What is the remainder when w is divided by 55?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -878 + 893. Suppose -2 = -i*n + 73. Solve 0 = -0*f + 5*f - n for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - (-4)\/(-84)*6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + 16 + -18 + -13.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 75 - 65. Let f be 2 + 8 + m\/(30\/6). Suppose -f*i + 17 = -11*i. Which is smaller: i or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 7*f - 226. Let k(c) = 4*c - 113. Give -5*k(l) + 3*t(l).\nAnswer: l - 113","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:49 AM and 2:13 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u, 2 q, and 1 r when four letters picked without replacement from {r: 3, f: 4, q: 5, u: 1}.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10097, -12, -11, 5, 4, -42 in increasing order.\nAnswer: -42, -12, -11, 4, 5, 10097","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 2. Let n = -9 + 11. Let q(s) = s - 10. Let f be ((-1)\/(-2))\/(2\/(-64)). Let m be f\/6*30\/(-8). Determine m*p(y) + n*q(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -113 + 90 = -2*s + 5*b, 0 = 4*s - 3*b - 11. Which is smaller: s or -4\/8321?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 401133 (base 7) to base 12\nAnswer: 33190","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve l = 5, -3*k + k = -5*k + 5*l - 25 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -31\/24222531 and 149\/2061492.\nAnswer: 96890124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36059 = 32*r + 12859. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 14 = -2. Solve h*y + 1 = 7 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 52502041 (base 6) in base 7?\nAnswer: 16011301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 381708?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-13)\/(-4) - 8) + (7 - 3)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = -845 - 919. Suppose 24*k = 28*k - z. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-81)\/184 + (-9)\/(-2976)*124?\nAnswer: -3\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-16)\/(-12)*3\/(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -84 times 0.623?\nAnswer: -52.332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -5*g**2 + 4*g + 13*g + 5*g**2 + 303 - 14*g - 349*g**3 wrt g.\nAnswer: -1047*g**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -371*i + i**2 + i**2 + 188*i - 363*i**3 + 188*i to the form q*i**3 + u*i**2 + h*i + g and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 311 is divided by 127?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -j**3 - 2*j**2 + 2*j + 3. Suppose 0 = 8*g - 42 - 6. Suppose 4*v = -g - 2. Give q(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9 - (17 + -6) - (-1 + 10) - -8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 145 divide 2466450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + 5 + (6 - (-15 - -24))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is (23\/((-161)\/1400))\/(-3 - -2) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 37*f**3*o*q**3 + 3*f**3*q**2 - 63*f**3*q + 26*f**2*o*q**3 - 2*f**2*o*q + 4*f**2*o - o*q**3 + o*q**2 wrt q?\nAnswer: 222*f**3*o + 156*f**2*o - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -25449.9 rounded to the nearest one hundred?\nAnswer: -25400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-305)\/(-366))\/(12\/(-27)*3).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*a**2 - 44 - 30 + 74 + 18*a**2.\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 528457\/6027 + -3540\/41. Let h = 767 - 112750\/147. Let j = h + q. Sort j, -0.2, 0.3, 5 in descending order.\nAnswer: 5, j, 0.3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.239 + -0.1.\nAnswer: 0.139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2238 and 321090?\nAnswer: 119766570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is eighteen fifths of a millennium in months?\nAnswer: 43200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11199*v**2 + 11200*v**2 - 22397*v**2 - 17495*v.\nAnswer: 2*v**2 - 17495*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 178\/5 - 1582\/45. Let c = -1.002 - -0.002. What is the closest to c in 3, 3\/2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/(-10)*(-30)\/(-24)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) be the first derivative of -2*n**2 + 4*n + 12. Is 17 a factor of m(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 51 - -0.004085199151.\nAnswer: 51.004085199151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 9*j - 56. Solve -4*h + 19 = -s, 0 = -3*s + j*s - 3 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -192909.843 - -193011. Let n = -101 + c. Let x = n - 0.067. Round x to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 7.409872 to 1 dp.\nAnswer: 7.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 41*x**2 + 270*x - 1295. What is the lowest common multiple of 200 and d(5)?\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3578810 and 50100?\nAnswer: 1670","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-198)\/(-22)*8*13\/(1716\/(-77)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by 203889?\nAnswer: -1\/67963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = -5*t - 7*a + 378, 0 = 3*t - a - 220. List the prime factors of t.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 198 - 197.8. What is the third smallest value in -1, p, -0.3, -28?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 6444237663\/3640 + -1770395. Calculate the common denominator of h and -151\/90.\nAnswer: 32760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -176*y - 7 = q - 178*y, -y = -1 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5 + -3. Let v be (-12 - m)\/(0 + -2). Let o = 138 - 128. Solve -2*n = -v*n + o for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (2 - 15\/(-9))*3. Let q(m) = -5 - 9*m**2 + 2 + m**3 + 18*m - 29*m. Let b be q(f). Round b to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = r**3 + r**2 + 6*r + 12. What is b(-4)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 87530039.\nAnswer: 41, 2134879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let -57\/2*g**2 + 0 - 6*g - 21\/4*g**4 - 111\/4*g**3 = 0. Calculate g.\nAnswer: -4, -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 15\/6*(-48)\/(-300).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 14448 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 36100*(1 + 396\/4). What is t rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1030815513?\nAnswer: 3, 7, 13, 1258627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2.898 - 2.8. Let w = -0.1 + h. What is w rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0 + 14 + (-7783)\/543. Which is the nearest to 2?  (a) v  (b) -2\/5  (c) 0.127\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 11 and 5151470269?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 86, 328, 752, 1376, 2218, 3296?\nAnswer: 4628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1.6 - 1.6. Let r = k + 0.054. Let m = -3.054 + r. Which is the biggest value?  (a) 3  (b) m  (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7391?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -0.3  (b) 169504  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 457 - 228. Let h = 229 - d. Let i(q) = -q. Calculate i(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Sum -346 and 4.\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 787*n**2 - n + 1. What is the tens digit of g(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c**2 - 5 - 5 + c + 2*c**2 + 4*c = 0 for c.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cgk when three letters picked without replacement from gktgcwr.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 37192 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 27.089907 months in years?\nAnswer: 2.25749225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*o**2 - 17569*o**3 + 6*o**2 + 17568*o**3 - 82*o + 34*o.\nAnswer: -o**3 - 48*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bttbzpzbbbybbbbzbbbb. What is prob of sequence py?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -54 + 93. What is the second smallest value in -1, -2\/7, q?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3062729, 12250899, 27564515, 49003577, 76568085?\nAnswer: 110258039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-5)\/((-30)\/9))\/(((-3)\/(-208))\/((-1470)\/(-2352)))\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -54815, -53934, -53039, -52124, -51183?\nAnswer: -50210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r\/r**(-7)*r)\/r**(-2\/17))\/(((r\/(r**(-4\/7)*r*r)*r*r)\/r)\/r*r**0*r))\/((r**(-2\/7))**(2\/21))**9 assuming r is positive.\nAnswer: r**(7323\/833)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 878137?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - 63 - -46) + 90.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 307*d - 3*m - 1857 = 58*d - 245*d - 426, 2*d - 4*m + 39 = -23 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jjjjjjjjjjbjjojjjj. Give prob of picking 1 j and 1 b.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -25899958 divided by 6\nAnswer: -12949979\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -2*y**3 + 69*y**2 - 51*y + 572. Determine k(34).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -154 + 155. Which is the smallest value?  (a) -0.1  (b) f  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.79 rounded to one decimal place?\nAnswer: 5.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -0.5, -145, 1\/348, 1\/10, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 96459 or 96740?\nAnswer: 96740","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -18, -1056, -2848, -5394, -8694, -12748?\n\"Answer: -377*j**2 + 93*j + 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40*k + 26 = -94 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = n**3 + 2*n**2 - 115*n - 61. Calculate w(-10).\nAnswer: 289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + i = -0*b + 211, -195 = -3*b + 3*i. Let h be 3 + (8 - 8)\/(1\/(-1)). Suppose b = h*m - 0. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.345  (b) -0.17  (c) 0  (d) 1\/9  (e) -5  (f) -0.02\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -352*c**2 - 240*c**2 - 411*c**2 + 164*c**2.\nAnswer: -839*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*j + 1480 + 101. Suppose -16*d = -2817 - j. Which is bigger: d or 208?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*j**2 - 123*j - 126.\nAnswer: 3*(j - 42)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 2*o - 4. Let u(a) = 417*a - 5 - 208*a - 207*a. Give 7*l(d) - 6*u(d).\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 2 + 306*q - 304*q + 0 - 2. Let j(g) = -2*g + 2*g + 2*g. Give j(x(v)).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1681 is divided by 47?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = b**3 - 6*b**2 - 14*b - 1. Let n be t(8). Solve 6*m = 2*i + 3*m - n, 2*i = 2*m + 10 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 6894 = -2*m, -4*m = -4*h - 18252 + 4472. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 651 - 651 - 7*x**2 + 3*x**3 to the form c + v*x**3 + b*x + z*x**2 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 132782590?\nAnswer: 2, 5, 29, 457871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 0.61*0.137\nAnswer: 0.08357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when -8*2\/(8\/(-5109)) is divided by 38?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4389 and 96957?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*i - 12*i - 2*n + 800, 0 = -4*i - 5*n + 640. Calculate the smallest common multiple of 60 and i.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*v - 156 + 329 - 972 = 609 for v.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) be the first derivative of l**3\/3 - l**2\/2 - l + 27. Let z(v) = -9*v**2 + 25*v + 26. Let b(a) = 24*i(a) + 3*z(a). Let b(c) = 0. Calculate c.\nAnswer: -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-1\/2)\/(f**(-2)*f)*(f**1*f)**(17\/4))**(5\/7))**(37\/5) assuming f is positive.\nAnswer: f**(333\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 7*w**2 + 59*w + 507. Let o(h) = -6*h**2 - 60*h - 508. Let l(v) = 5*o(v) + 4*y(v). What is m in l(m) = 0?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 186*u**3 + 546*u**3 + 479*u**3 - 334*u**3.\nAnswer: 877*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 14919872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - 9 - (0 - -13 - 20).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 5 + -4 - (8 - 9)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from srrsrmuumuumsssr. Give prob of sequence mrus.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) be the first derivative of -25*q + 0*q**3 - 32\/5*q**5 - 60 + 0*q**2 + 0*q**4. Find the first derivative of w(g) wrt g.\nAnswer: -128*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7814 + -93707\/12. Calculate the common denominator of s and 113\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*i**4\/5 + 18278*i**3 - 4404000*i**2 + 264585600*i.\nAnswer: 2*i*(i - 120)**2*(i + 45935)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 450781?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -68*q + 12458 - 17218 for q.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.2140633275 to four dps.\nAnswer: 2.2141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -4*f**2. Let s(r) be the second derivative of 3*r + 0 + 1\/6*r**3 + 0*r**2. Determine t(s(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5234 by 1891.\nAnswer: -5234\/1891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -13 - -18. Suppose 0 = -a + 5 - g. Suppose a = 4*y + 2*b + b - 554, b = 2*y - 282. List the prime factors of y.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:33 AM and 3:07 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence memg when four letters picked without replacement from eegggmmmgmgmg?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12560 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (2 - 6) + 14 + -7. What is the first derivative of 631*l**h - 2*l**4 - 631*l**3 + 14 + 0*l**4 wrt l?\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 95 + -1423\/15. Let p(c) = 2*c**2 + 2*c - 4. Let b be p(-3). Let w = -5 + b. Sort z, w, 0.4 in descending order.\nAnswer: w, 0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wwniwwiiwinwp. What is prob of picking 1 w, 1 n, and 1 i?\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4029 - 4037. Let h(i) = -3*i**3 - 31*i**2 - i + 29. Let w(v) = v**3 + 10*v**2 - 10. Let s(o) = 2*h(o) + 7*w(o). Calculate s(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, 2\/9, -1\/6, -30 in descending order.\nAnswer: 0.3, 2\/9, -1\/6, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -223 + 227. Suppose 3*n - 18 = -6. Suppose -n*l = 5*x + 9 + 16, 5*x - u*l - 15 = 0. Which is the nearest to x?  (a) 0.5  (b) -2  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 377078113 to the nearest integer?\nAnswer: 722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -591*p + 2835 = 57*p + 297*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -0.0697 * 220.07\nAnswer: -15.338879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 458 is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -5, -0.07, 5.4 in descending order.\nAnswer: 5.4, -0.07, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 2 s when three letters picked without replacement from ssiiiqsrmggi.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43 = 2*y - 9*g + 4*g, 0 = 2*y + 2*g - 22. Calculate the least common multiple of 10 and y.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2488  (b) 101  (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 22, 1\/19, 2\/3, 0.1, 110?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 127 = 3*a + 2*q, q - 95 + 11 = -2*a. Differentiate 43*w + a*w - 54 - 74 - 10*w - 13*w with respect to w.\nAnswer: 61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -z - 3*z - 4*k + 28, -131*z + 2*k - 32 = -136*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 + 28*o**2 - 29*o**2 - 1 + 4*o**2 + 0*o**2 - 2*o**2 + (-2*o + o - o)*(o + 2*o - o).\nAnswer: -3*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (3*26\/39)\/(((-3)\/2)\/3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.13 and -16.521.\nAnswer: 2.14773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand 7*j**3 - 7*j**3 + 3*j**5 + (0*j**3 + 0*j**3 - 4*j**4)*(j - 2*j + 0*j).\nAnswer: 7*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -585*f**2 + 529*f**2 + 22 - 4*f - 568*f**2 - 619*f**2 wrt f?\nAnswer: -2486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2.7 - -3. Let w = 0.4 - h. What is the nearest to w in 0, -3, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*x + 16*x + 10*x - 32*x - 927470*x**2.\nAnswer: -927470*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -79407.327 + 79256. Round p to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5819 is divided by 712?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (-99)\/21 + 8\/(-28)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 34 = 12. Let f(o) = -6*o - 25. Suppose -l = 3*l - 56. What is the remainder when f(c) is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19134 = 8*m + 3926. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 86814 and 1458?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 17*c - 16. Let m be v(13). Round m to the nearest ten.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1241 is divided by 309.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2466?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 632520523?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 16 + (-19 - -13 - 5). Let t(l) = l**3 - 3*l**2 + 5. Give t(d).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = -15, -429*r - 23 = -434*r - l. Put -20, -0.5, -3, r in increasing order.\nAnswer: -20, -3, -0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-20)\/16 - (-2)\/8)*-7. Let i be 7\/(196\/264) + 4\/y. Let m be ((-7)\/(196\/(-40)))\/(i\/35). Solve m = 4*u - 3 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 219*n = 1709 - 1052 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -293.1 + 293. What is the nearest to 0.2 in -17, b, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 10*v + 12. Let j(s) = s + 1. Let w(p) = -d(p) + 6*j(p). Let z be -10*((-1)\/(-2))\/1. Calculate w(z).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 59, -1, -4 in ascending order.\nAnswer: -4, -3, -1, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*d - 2 = 75 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -3*u + 17. Let l be y(5). Suppose -i = 4*i + l*t + 23, 0 = -4*t + 4. Which is the nearest to 2?  (a) i  (b) -2  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 384 + 3?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 652410?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -85614329 divided by -85614329?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 63517?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -29 - -43. What is the remainder when 27 is divided by c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-3\/7)\/s**(2\/13))**(3\/13) assuming s is positive.\nAnswer: s**(-159\/1183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -93*h + 21*h + 18*h + 17 wrt h?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qooqdaadcxdqxdddqaq. What is prob of picking 1 c and 3 d?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is v in 11*v**5 + 17*v**4 - 27*v**3 - 73*v**2 - 52*v - 12 = 0?\nAnswer: -1, -6\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + 1 - (-24)\/120.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 25 (base 13) to base 6\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 110888930?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k**4\/3 - 2798*k**3\/3 + 6517*k**2 - 39082*k\/3 + 22328\/3 = 0. What is k?\nAnswer: 1, 2, 4, 2791","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5068526 is divided by 88?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 22*g*h**4 - 166*g*h**3 - 33*g*h**2 - 232*g*h + 2*h**5 wrt h.\nAnswer: 528*g*h - 996*g + 120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -24186, -96729, -217634, -386901?\n\"Answer: -24181*o**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*v**3 - 57*v**3 + 91*v**2 - 2*v**3 - 75*v**2.\nAnswer: -70*v**3 + 16*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = v**3 - 5*v**2 + 5*v - 10. Give t(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = -t - 15, -s - 3*s = t + 30. Let z = 13 + t. Suppose -z*q + 4*q = 2. Sort -1, q, -12.\nAnswer: -12, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.1656 rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -x - 1. Let y(d) = 3*d - 9. What is the remainder when y(6) is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -9 - -5. Suppose r + 1 = l, 5 = -4*l - 2*r - 3. Let k = 6.765 + 0.235. Which is the nearest to 2\/3?  (a) i  (b) l  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of (26\/117)\/(((-28)\/(-216))\/7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -567882 - 0.4?\nAnswer: -567882.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.09, -5, -31?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 - (2 + (3 - 3) + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 63892, 63901, 63912, 63925, 63940?\n\"Answer: q**2 + 6*q + 63885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -2*b**2 + 33*b - 5. Suppose 4*j + 5*v - 35 = 0, -5*j + 15*v = 12*v - 90. Let p be g(j). Which is smaller: 42 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40 = 4*i + 5*k, 4*i = -k - 22 - 2. Let f be ((-4)\/i)\/((-1)\/(11 + -6)). Let r = f - -12. Calculate the lowest common multiple of r and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(156)*3)\/(6*(sqrt(12) - 2*sqrt(12) - sqrt(12))) + -1.\nAnswer: -1 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = h**3 + 5*h**2 - h - 5. Let u be i(-5). Let z be -2 - (-15)\/(-3) - -7. Are u and z nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 - 1 + 4)*(922*l**4 - 10632*l**2 + 10632*l**2) as t + m*l**4 + r*l + g*l**2 + d*l**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sjrjpjjpjpjjpjsv. What is prob of sequence vps?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gkg when three letters picked without replacement from {g: 4, k: 1, q: 5}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -11 - -14. List the prime factors of 2\/(148\/48 - n).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 197 is divided by 36.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -20*a + 16*a + 8. Let r(o) = o**a - 8*o**2 + o**2. Let b(g) = -7*g. Calculate r(b(p)).\nAnswer: -294*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 48843 - 97685\/2. Let x = -3 - -5. Factor y*t**x + 0 + 1\/2*t.\nAnswer: t*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 120*a - 369 - 218 - 133 = 0 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 31450 is divided by 5760.\nAnswer: 2650","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*y + 1 = 3*v - 6*y, 20 = 5*y for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -641\/2132 + 15\/52. Let b = -241\/410 + n. What is the closest to 0.1 in b, -4, 0.19?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 5*g**2 + 13*g - 13. Let l = 9 - 6. Let u(s) be the second derivative of s + 3*s**2 - s**l - 1\/6*s**4 + 0. Give 4*c(v) + 9*u(v).\nAnswer: 2*v**2 - 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.06 + -0.24. Let l = -27 + 29. Let g be -13 - -13 - (l - 2). Which is the nearest to 0?  (a) v  (b) -5  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -170507*u + 21. Calculate q(0).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 901354 by 9.\nAnswer: 901354\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is seven eighths of a milligram in micrograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/4 of a millennium in months?\nAnswer: 51000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 4*r**2 - r + 25. Let q be c(7). Let h = q + -2143\/10. Which is smaller: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or -194\/2383?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3) - ((sqrt(24)\/(sqrt(32)\/sqrt(4)))**2 - sqrt(3)) - (sqrt(3) + sqrt(18)\/sqrt(6) + 0)**2 - (1*sqrt(12)*2*-2)**2) + -3.\nAnswer: -210 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(-2*1)*(-36)\/12?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j + 6 = -a - 6, 20*j + 116 = 19*j - 4*a for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = p**3 + 5*p**2 - 15*p - 5. Let q be u(-7). Let d(g) = -g**3 - 7*g**2 + 11*g - 6. Let j be d(-9). Let z = j - 41. Solve q*m + z = -2*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) be the third derivative of -l**7\/5 + 19*l**5\/30 + l**4\/24 + 126*l**2. Find the third derivative of n(p) wrt p.\nAnswer: -1008*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -180232 + -1a?\nAnswer: -180251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = t**3 - 4*t**2 + 6*t - 2. Calculate x(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -z**2. Let q(t) = -2*t**3 - 3*t**2 - 2*t - 3. Suppose -73*m - 86 + 13 = 0. Give m*q(h) + v(h).\nAnswer: 2*h**3 + 2*h**2 + 2*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 153, 174, 219, 294, 405, 558, 759?\n\"Answer: z**3 + 6*z**2 - 4*z + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 7*s**2 + 17*s. Let q(a) = -a**2. Calculate q(y(v)).\nAnswer: -49*v**4 - 238*v**3 - 289*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i\/i**(-1)*i*i)\/i)\/((i*i**22)\/i*i))\/(i**(-1\/21)\/(i*i*i**42\/i)) assuming i is positive.\nAnswer: i**(484\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) be the first derivative of 3*v**4\/4 - v**3 - 27*v**2\/2 + 27*v - 2936. What is q in r(q) = 0?\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) be the first derivative of 215*d**7\/7 - 2*d**5\/5 - 6*d**4 - 10*d**3\/3 + 9*d**2\/2 - 30*d + 4613. Find the third derivative of x(i) wrt i.\nAnswer: 25800*i**3 - 48*i - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (7312\/(-60))\/((-18)\/(-525)). Let t = v + 3562. What is the common denominator of t and -25\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s**5 + 60*s**4 - 382*s**3 - 15540*s**2 - 67081*s = 0. Calculate s.\nAnswer: -7, 0, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*i**2 + 1807*i - 2404 = 0. Calculate i.\nAnswer: 4\/3, 601","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 123900 rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = i - 8. Suppose 2*l - 7*l + 4*s = -4, -4*l = s - 20. Let o be u(l). Is o > -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 18 + 32. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = z**3 + 28*z**2 + 25*z - 62. Let y be v(-27). Let t(i) = i**3 + 11*i**2 + 5*i - 10. What are the prime factors of t(y)?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w**(-1\/2)*w)**(-10)*w\/w**5*(w**(1\/3)\/w)\/w assuming w is positive.\nAnswer: w**(-62\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t - 20 = -2*u, -165*u + 163*u + t = -5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*b - 5*r - 10, -4*b + 10 - 2 = -4*r. Let n = b - -23. Suppose -13*l + 2491 - 996 = 0. What is the highest common divisor of n and l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1019?\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1569*m + 540*m - 764*m.\nAnswer: -1793*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 5, 12\/13, -5, 1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -79*q + 4*q**2 + 86*q + 0*q**2 - 6*q**2 - 3 to t*q + h*q**2 + m and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 + 14 + (-2 - 66) + -6.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -8 from -914.\nAnswer: -906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3920 and 784?\nAnswer: 3920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 5*j + 761. Let s(z) = 173*z. Give d(s(o)).\nAnswer: 865*o + 761","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/27 in -1.69, -0.4, -3, 5\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that -2*t**3\/15 - 6802*t**2\/15 + 166854*t\/5 + 104190 = 0.\nAnswer: -3473, -3, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1867\/5 + -373. Suppose 59 = -2*a - 5*m, 37 = -a + 2*m - 6*m. Let b = -12 - a. What is the nearest to 2\/7 in -4, s, b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3606 - 3593.3. Which is the fourth smallest value?  (a) o  (b) -4  (c) 0  (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l, 2 g, and 1 t when four letters picked without replacement from trlrgleg.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -49697, -198866, -447407, -795260, -1242365, -1788662, -2434091, -3178592?\n\"Answer: 10*b**3 - 49746*b**2 - b + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -1\/4, 1, 11, 3.7 in descending order.\nAnswer: 11, 3.7, 1, -1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 55*(-15780)\/(-287100) - 6\/2?\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve i + 2*o - 9 = 2*i, 0 = 3*i + 4*o - 13 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/v**(-37))**(-1\/5)*((v*v\/(((v**(7\/8)\/v)\/v)\/v))\/v)\/((v*v**(-8))\/v) assuming v is positive.\nAnswer: v**(141\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -a - 14. Let o(x) = -2*x - 28. Give 9*h(t) - 4*o(t).\nAnswer: -t - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1514643165 to the power of 1\/4, to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 7*s - 3*s - 910 = 0. Let n be 0 + (352\/2 - -2). Let i = n + s. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*d - 24 = 2*n, 0 = -2*n + d + 81 - 89 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 322357 and 161?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6918, -55315, -186670, -442461, -864166?\nAnswer: -1493263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (d - 3*d - d)*(-4*d**4 + 5*d**4 + 3*d**4 - 6*d**4 + 4*d**4 + 4*d**4 + (0*d**2 + 0*d**2 + 3*d**3)*(2*d + 3 - 3))*(-4 - 1 + 4).\nAnswer: 36*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 9921390?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -33, -44, -65, -102, -161, -248, -369?\n\"Answer: -n**3 + n**2 - 7*n - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 28a - 1?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 64234?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -1216*j**3 - 258*j**2 + 92*j - 64. Let a be b(-68). Round a to the nearest 1000000.\nAnswer: 381000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 535423490 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 148532449?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = b**3 - 10*b**2 + 11*b + 4. Let o be g(9). Suppose -4*u + u = -2*j + 19, 2*j - 4*u = o. List the prime factors of 5\/(-3 + 16\/j).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1 + 2. Suppose -j*z = 0, 205 = 5*n + 3*z - z. What is the remainder when n is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 483686 not equal to 483680?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 + 1)\/((-62)\/(-496))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4989.057ng in kilograms?\nAnswer: 0.000000004989057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 1843, -4 in decreasing order.\nAnswer: 1843, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 192928507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 220 divided by 5\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 4*k = -390. Suppose 0*c + 2*c - k = 0. What are the prime factors of c?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 156671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -30 - (28 + -46) - -27.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.7 - 12843.\nAnswer: -12843.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -s**3 - 9*s**2 + 13*s - 70. Give k(-11).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -6765 divided by -6765\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:30 PM and 11:48 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 + -9 - (2 + -3 + 7 + -2 + 25).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d - 16 = -8*d. Let m be (d\/((-30)\/(-3)))\/((-1)\/(-5)). Let v(p) = p**2 - p. What is v(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 317 + -377. Let f = -59 - g. Suppose 0 = -i + 2 - 1. Calculate the highest common factor of i and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.023241 rounded to three dps?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 19532 and 747613?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) be the second derivative of 9\/8*c**3 + 1\/80*c**5 + 3\/16*c**4 - 3*c + 27\/8*c**2 + 0. Suppose q(b) = 0. What is b?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9231 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 20 + -40 + 25 + (1 - 2 - 3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(242) + sqrt(242)*-3*-2 + sqrt(242) + sqrt(242))*6 + 4.\nAnswer: 4 + 2970*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 11818549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 + -8 - -3 - (-1 - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/10)\/(-9*19\/2565)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 1, j: 2, x: 1, z: 2, e: 1, c: 1}. Give prob of sequence iz.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -108, -1904, -4 in decreasing order.\nAnswer: -4, -108, -1904","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 19 by 70239.\nAnswer: 19\/70239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -31*l**3 + l**2 - l - 1. Determine z(1).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) be the first derivative of 2*t**6\/75 + t**5\/25 - 4*t**4\/15 - 8*t**3\/15 + 26*t - 21. Let q(z) be the first derivative of o(z). Factor q(c).\nAnswer: 4*c*(c - 2)*(c + 1)*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11378.84 microseconds in seconds?\nAnswer: 0.01137884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -327 + 548. Suppose y - i = -4*v, 0 = 4*v - 6*v + y + 115. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 185 - 493?\nAnswer: -309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1413383185?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*-1*sqrt(304) - (sqrt(304) + -2 + 1 + sqrt(304)) - -2*(1*sqrt(133)*5 + sqrt(133))\/sqrt(7).\nAnswer: 1 + 28*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7600*-7265.\nAnswer: 55214000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2705*p - 825743 = -3560*p - 16166*p + 246580 for p.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5097934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*j**5 + 2*j**5 - 6*j**5)*(2 - 1 + 0) - 2*j**5 - 2*j**3 + 2*j**3 - 15577*j**5 + 15575*j**5 + 2*j**3 - 28*j**4 + 8*j**3 - j**5 - 4 + 4.\nAnswer: -7*j**5 - 28*j**4 + 10*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1178, -2355, -3532, -4709, -5886?\nAnswer: -7063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = -0*c + x + 219, 0 = -4*c - 3*x + 423. Let w be -1 - 1 - c\/(-4). Suppose p = 6*p - w. Calculate the remainder when p is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 105432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -101111000 (base 2) to base 6\nAnswer: -1424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x - 11 = -c - 6, 0 = 2*c for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -56 - ((-27 - 17) + 37)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 10 + 75*n - 7.\nAnswer: 75*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -a (base 16) in base 5?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 4*a = -15, -a = i + 2*i - 45. Solve 0 = 5*l + 2*s - 17, 4*l - 9 = s + i for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 37 - 29. Suppose -x*f - 6 = -2*f. Let v(y) = y**3 + 4*y**2 + 4*y + 2. Let d be v(-2). What is the closest to f in d, -5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3\/2 in -17, 2\/49, -1\/17?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(3\/8)\/(v\/((v*v**(4\/3)*v)\/v)))\/((v*v*v\/(v\/v**(-8)))\/v**(-6)))**(1\/2) assuming v is positive.\nAnswer: v**(41\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 122 - 101102?\nAnswer: -100210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -0.7313 times -3820\nAnswer: 2793.566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -b**2 + 13*b - 15. Let a be i(10). Solve 0*r + a = 3*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 18 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express -2668*w + 1337*w + 1808*w**2 + 1331*w in the form p*w**2 + d*w + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 631 minutes before 7:39 PM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 191314090 and 2630?\nAnswer: 2630","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 6\/13, -2, -1\/8, -0.058, -4\/7?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -189*m**2 + 4. Let n(o) = 62920*o**2 - 1331. Give -4*n(c) - 1331*s(c).\nAnswer: -121*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*m - s + 65, -87*m + 2*s + 38 = -83*m for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -n - o + 6, -36 = 3*n - 3*o - 24 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1166 and 69828?\nAnswer: 3700884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 71951 + 63514 = 388*d + 433*d. Let g(p) = p**2 + 2*p - 3. What is the lowest common multiple of d and g(-5)?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 13847 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -444 (base 5) in base 4?\nAnswer: -1330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 110*r**4 - 6*r**2 + 620. Let w(s) = 109*s**4 - 8*s**2 + 620. Let l(u) = -4*o(u) + 3*w(u). What is the derivative of l(x) wrt x?\nAnswer: -452*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 2*n = n + 15, 5*z + n = -27. Let s = z - 1\/2. Which is smaller: -6 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 52c7 (base 16) to base 8\nAnswer: 51307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 1, v: 5, i: 2, e: 3, o: 5, s: 4}. What is prob of picking 1 o and 2 i?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -47\/2594625 and 31\/34595.\nAnswer: 2594625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -3*5\/45*-150. Let m = 70 - f. What is the highest common factor of 4 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -51, -1.8, 0.012, 8, -4, -2\/9?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 12.0544445 + -49.0544444. Let f = 37 + a. Round f to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 123761, 495055, 1113873, 1980215, 3094081, 4455471, 6064385?\nAnswer: 7920823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4 + n + 4 + (-1 - 1 + 0)*(-154*n + 70*n - 88*n)*(-3 + 5 + 4).\nAnswer: 2065*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6566969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 177146.6 litres?\nAnswer: 177146600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = l**2 - 6*l - 2. Calculate y(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (69 - -13 - 112) + (9 - 46)\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1d6 (base 14) to base 9\nAnswer: -466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 87*z = 82*z + 40. Solve 5*i - 3 = -3*o + z, -o = 3 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*x**4 - 16 - 1 - 2*x**3 - 23 + 3 + 7 + x**2 + x as j + b*x + z*x**3 + k*x**4 + t*x**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-88)\/(-210) + (-10)\/35. Which is the third biggest value?  (a) -1  (b) p  (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) be the second derivative of g**6\/240 - g**5\/40 - 59*g**4\/96 + 21*g**3\/8 + 4771*g. Factor r(u).\nAnswer: u*(u - 9)*(u - 2)*(u + 7)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 452 and -0.28.\nAnswer: 451.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.03 minus 37.619?\nAnswer: -37.589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -2*f - 15. Let y be z(-5). Sort y, 5, -1 in ascending order.\nAnswer: y, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = -2*n. Suppose -2*l + 21 = 3*y - n, 4*y - 5*l = 5. Suppose -4*k + 5*w + 20 = 0, y*w = 4*w - 4. Which is the biggest value?  (a) 1  (b) -1\/2  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -26 + 3011?\nAnswer: 2652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 40 and 2900.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -525809, -1051611, -1577409, -2103203?\n\"Answer: 2*t**2 - 525808*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 99718999, 199438001, 299157003, 398876005, 498595007, 598314009?\n\"Answer: 99719002*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = i**3 + 54*i**2 + 119*i + 71. Is m(-33) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (4\/(-54))\/((-60)\/540). Let z be 6\/(-8)*2\/9. Let r be 4 + -4*(-4)\/(-80)*-5. Which is the nearest to -8?  (a) z  (b) n  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (95 - 1)*(-3)\/(-6).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 69371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = j**3 + 9*j**2 - 11*j - 11. Let h be o(-10). Is ((-115 - -3) + -3)*h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1272 = -37*t - 108*t + 92*t for t.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 c and 1 b when four letters picked without replacement from cbcbbbbbbc?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 16 - 119 = 0. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 9*k**2 - 4*k - 49. Let q(x) = 26*x**2 - 13*x - 146. Determine 2*q(m) - 7*t(m).\nAnswer: -11*m**2 + 2*m + 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -314011316*k**4*n - 1584*k**2*n - 80790*k*n wrt k.\nAnswer: -7536271584*k*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 937433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 155433234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 452509, -3 in descending order.\nAnswer: 452509, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 217 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 65 - 5 = 12*r. Suppose 5*s - 9 = 2*m - 3*m, 0 = 3*m + r*s - 17. What is the remainder when m is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l*l**(-1\/2))\/l)**(-10\/11)*(l\/l**(-10))\/l*(l*l*l\/(l*(l\/((l*l**(5\/4))\/l))\/l))\/l)**(-1\/4) assuming l is positive.\nAnswer: l**(-559\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 77*x + 5 - 9*x - 45*x.\nAnswer: 23*x + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) be the second derivative of -8*i - 3\/14*i**7 + 0*i**4 + 1\/2*i**3 + 0*i**2 + 0*i**6 + 0 + 0*i**5. What is the second derivative of k(o) wrt o?\nAnswer: -180*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 117*h**2 - h + 1. Does 13 divide l(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e, 2 g, and 1 h when four letters picked without replacement from hfggeggghhhggefeffgg?\nAnswer: 144\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*o + o - o)*(-2 + 3 + 5).\nAnswer: 18*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = -3*x - 13, -1 = 5*h - x + 32. Let r(o) = 470*o**2 - 70*o + 11. Is r(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -100285 - -264285. Suppose -2*s = -0*s - k. Round s to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = g**2 - 4*g - 1. Let s be f(3). Let u(m) be the third derivative of m**5\/60 - 2*m**3\/3 - m**2. What are the prime factors of u(s)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35522 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 15 divided by -472\nAnswer: -15\/472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine a so that -5*a**2\/6 + 16355*a\/6 + 71435 = 0.\nAnswer: -26, 3297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -38 - -62. Let q = -17 + w. Let c = q - 6.999965. Round c to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9030400 rounded to the nearest ten thousand?\nAnswer: 9030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -122*i**3 - i**2 - i - 1. Let b be z(-1). Suppose 4*n = b + 195. Let m = n + -77. Solve m*c + 4*f + 2 = 0, -4*c + 17 - 3 = 2*f for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve u + 6 = -f + 5, -2*f = -2*u - 18 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 171 and 5028.\nAnswer: 286596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*g - n - 9 = 4*g, 12 = -4*n. Suppose 3*k = -5*z + 38, 3*k + g*z = 2*z + 22. Solve -4*u + 6*u = -k for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.4 less than 79\/2863?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/(-16))\/((-57)\/(-24) + -1).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6325014433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = j**3 - j**2 + 10. Let m be i(0). Let n = -16 + m. Let b(s) = -2*s - 8. Give b(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -4*n**3 - 4*n**2 + n + 7. Let c(f) = -20*f**3 - 20*f**2 + 4*f + 36. Let v(u) = 3*c(u) - 16*x(u). Solve v(g) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 9 = 3*z, 5*u - z + 12 = 3*z. Suppose a = -u*a + 13. Suppose -12 = -14*n + a*n. What is the remainder when n is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 8) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + sqrt(14)\/sqrt(63).\nAnswer: -1 + sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4987\/3?  (a) -1  (b) -6\/7  (c) -59  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 2*r - 6 = 0, -11*r + 3 = -5*v - 13*r. Let d be (-5 - -2) + (6 - 1). Solve d = p - v for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -240 + 273. Is n a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -v + 8 - 4. Solve -1\/4*x**v - 1\/4*x + 1\/2*x**2 - 1\/4*x**5 + 1\/2*x**3 - 1\/4 = 0 for x.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1174*o + 396*o + 393*o - 2*o**2 + 387*o.\nAnswer: -2*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -74*j**2 + 5*j + 5. Let i(x) = 68*x**2 - 4*x - 4. Let q(o) = 4*h(o) + 5*i(o). Calculate q(1).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (2 - -1) + (2 - 5). Suppose 17 = p + 3*w, h*p = -3*p - 2*w + 16. Determine l so that -675 - 27*l - 21*l - 3*l**p + 70*l + 68*l = 0.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 0*w = -16. Suppose -2*x + x = w. Let a(h) = h**2 - 23*h + 92. Let o be a(5). Sort x, -5, o, 0 in increasing order.\nAnswer: x, -5, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 481986, 964013, 1446040?\nAnswer: 1928067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(5000))*-1*-6*5.\nAnswer: -60 + 1500*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (7 - 10) + 0 + (9 - 4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 100 divided by 5348?\nAnswer: 25\/1337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.9725833 + 0.9736. What is h rounded to 5 dps?\nAnswer: 0.00102","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*4*((sqrt(65)\/sqrt(5) + sqrt(13))*-2)**2 + -1.\nAnswer: -2497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20302.\nAnswer: 2, 10151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -2*u**3. Let m(a) = 10*a**3 + 2*a**2 + 3*a - 1. Determine 3*j(s) - m(s).\nAnswer: -16*s**3 - 2*s**2 - 3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*b - 4*b + 2*b**4)*(3*b - b - 4*b) + (-7032 + 7032 + 179*b**4)*((-3 + 4 - 2)*(2*b + 3 - 3) - 2 + 2 - 2*b).\nAnswer: -720*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 13, 14, 15, 16, 17, 18?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 16478 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: -226420 divided by -2\nAnswer: 113210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 25 (base 10) to base 13.\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 646, 7, 536, -1 in increasing order.\nAnswer: -1, 5, 7, 536, 646","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the second derivative of -35*g + 15\/4*g**5 - 1\/6*g**6 + 65\/6*g**3 + 0 + 0*g**2 - 45\/4*g**4. Find b such that l(b) = 0.\nAnswer: 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -72935, -72928, -72917, -72902, -72883?\n\"Answer: 2*o**2 + o - 72938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 25653 and 12575.\nAnswer: 641325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*f + 46*f - 18*f.\nAnswer: 11*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -2*t**2. Let s(p) = 10*p. Let n(k) = 5*k. Let u(g) = 7*g - 2. Let o be u(-1). Let b(d) = o*n(d) + 4*s(d). Calculate i(b(q)).\nAnswer: -50*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -w**3 - w**2 - 2*w + 169. Is t(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -17 - m**3 + m**2 + 0 - 9*m - 12*m**2 - 3*m. Let h be u(-10). What is the remainder when (6\/4)\/(1035\/340 - h) is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 143 + 46 = -19*z - 77 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 2287364 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(0 + 2*sqrt(1088)))**2 + -3.\nAnswer: 156669","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 0.1, -1.2, 9\/151?\nAnswer: 9\/151","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 88893 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -74 + 587\/8. What is the common denominator of o and 8\/13?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 6944*h - 7224*h + 22120 for h.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:15 PM and 2:31 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 145028 + 541469 = 8358*w + 1300*w + 29753 for w.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 222, 222, 216, 198, 162, 102, 12, -114?\n\"Answer: -i**3 + 3*i**2 - 2*i + 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/1)\/(36\/54)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(100)\/sqrt(10))\/sqrt(5))**2 - ((sqrt(2) - 3*sqrt(2) - sqrt(2))**2 + 5))*3.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u\/u**(2\/5)*u)**(-1\/4)*u**7*u*u*u**(3\/4)*u*u assuming u is positive.\nAnswer: u**(111\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 386*r + 388*r - 44068*r**2 - 774*r.\nAnswer: -44068*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 10*p - 42. Suppose m - 4*f = 6, p*m - 2*f = -0*m - 4. Let r be (m + 0)\/((-60)\/(-35) + -2). Solve -5*y - 4*a + 4 = -r, 0 = 4*y - 2*a + 12 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:28 PM and 5:10 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1584348 < 1584346?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 65.547 to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -193\/13 + 15. Let h = 5\/24 - 49\/120. Sort -4, h, v in ascending order.\nAnswer: -4, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 8576303 and 142?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 1, -24, -63, -122, -207, -324?\n\"Answer: -k**3 - k**2 - 15*k + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -28480875067 + 4.\nAnswer: -28480875063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -560 = -i + 4*c + 68, 3*i = -3*c + 1824. Is i a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 362 and 24851?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 57850 or 636360\/11?\nAnswer: 636360\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:23 PM and 3:29 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sum -13218.7 and 0.2.\nAnswer: -13218.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*n + 4*s - 192 + 326, 0 = -2*n + 3*s + 90. Solve 0 = 2*b - n*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r + 5 + 10 = -4*o, -3*r - 3*o - 12 = 0. Let g be 63\/(-14)*(r + 1). Let c be 702002\/9 + 2\/g. What is c rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 265952?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2336*y + 26 = 2334*y - 2*o, -4*o = -5*y - 110 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 36 a factor of 44891424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 22*x + 17. Calculate h(-3).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1642161?\nAnswer: 3, 547387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express 8*k**4 + 135*k - 92*k + 3*k**3 - 21*k + 10 - 24*k in the form l*k**3 + h*k**4 + i*k + r*k**2 + y and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6054, 6053, 6052, 6051, 6050, 6049?\nAnswer: 6048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 1, e: 2, t: 1, a: 2, b: 1}. Give prob of picking 1 b and 1 t.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(1\/5)\/l)**26\/(l**(1\/9)*(l\/(l**(2\/23)\/l))\/l) assuming l is positive.\nAnswer: l**(-22588\/1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 116 and 2407?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = -0*u + 80. Suppose 38*g = 33*g + 15. Suppose -g*l = -4*f - 31, -4 = -f - 8. Solve l*z - 2*b = 3*b - u, -3*b + 14 = -z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/8*1\/((-2)\/8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 469 is divided by 19 - (-10 + 8) - 8\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-430 - -374) + (-7 - -7) + (0 + -1 - -13).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 13659 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = -0*b + 11. Let u = -8 - b. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 339, 341, 343, 345, 347?\nAnswer: 349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -167923.973 - 2.\nAnswer: -167925.973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -47005*s**2 - 13*s - 158137 wrt s.\nAnswer: -94010*s - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f + 21 = -5*t - 8, -27 = -2*f + 5*t for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0  (b) -0.061  (c) 0.1  (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(133) + (sqrt(133)*-1*1 - sqrt(133)) + (sqrt(133) - (2*sqrt(133) + sqrt(133))*4))\/(sqrt(28) + (2*sqrt(28)*3 + sqrt(28) - sqrt(28))).\nAnswer: -6*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t + 0*s = 2*s + 4, 2*t + 5*s + 11 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -a**2 + 8*a - 7. Let g be t(7). Solve -1 = -s - g for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 266, 1090, 2480, 4436, 6958, 10046, 13700?\n\"Answer: 283*v**2 - 25*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9481 is divided by 9212.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -72*u + 70*u + 2 = 0. What is the units digit of 93\/u + (-1 + 10)\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 40263 is divided by 8028?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -5*t + 3. What is the lowest common multiple of 30 and w(-6)?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 577776 and 280704?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 9912, 9930, 9948, 9966?\n\"Answer: 18*x + 9894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 467084 and 276.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*l - 2 = 23*l. Let x(g) = 9 - 2*g - 23*g**l - g**3 + 15*g**2 + 0*g - 2*g. Determine x(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12248154 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -146*c - 2292 = 1212 for c.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 3, o: 4, t: 5, j: 1, c: 3, d: 1}. What is prob of picking 1 d, 1 z, and 1 o?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/(m*m**(3\/7))*m)\/(m*m\/m**(-7)))\/(m\/(m**(-13)\/m*m)*m*m*(m\/(((m*m\/(((m*m**(-17))\/m)\/m*m))\/m)\/m*m*m*m*m*m)*m)\/m) assuming m is positive.\nAnswer: m**(-24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((10320\/(-989))\/60)\/(((-8)\/14)\/(160\/112))?\nAnswer: 10\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 6452*d**3 + 2*d**2 - 10920 wrt d.\nAnswer: 19356*d**2 + 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1747*r = 1740*r + 79 + 26 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(132) + sqrt(132) + -1*(sqrt(132) - (3*sqrt(132) - sqrt(132))))\/((1*sqrt(144))\/sqrt(12)).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-64779)\/(-819) - 79 - (-43)\/210.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h*h**(-28)*(h\/h**(-38))\/h assuming h is positive.\nAnswer: h**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -10 - -12. Suppose 0 = z*h - 86 - 296. What is the remainder when h is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2\/(-4)*0\/(-3). Let k(v) be the second derivative of z*v**4 + 0 - 1\/10*v**5 + 0*v**2 + 0*v**3 + v. Factor k(c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 71727 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 285085221.\nAnswer: 3, 47, 73, 27697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 334*q + 49559 - 10679 = 410*q + 1220*q for q.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -70260714 divided by 6?\nAnswer: -11710119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1090?\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 8607432 and 166.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 2*m + 62 = 0, -94 = f - 5*f - 2*m. Let x = 44 - f. Solve 5*n + 5*v = 4*v - 18, -2*n - x = -5*v for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-16)\/28)\/((-240)\/56)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - (0 + 0 + -4 + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 28546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000468760446 to 5 decimal places.\nAnswer: -0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 301*o**2 + 7*o**2 + 36*o**2 + 225*o**2 - 72*o**2.\nAnswer: 497*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) be the third derivative of 25*k**4\/24 + 2*k**3\/3 + 4*k**2. Is b(15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(-18\/5)*a\/((a*a*(a**(-4\/3)*a*a*a)\/a)\/a*a))\/(((((a*a**(-4\/7)*a)\/a)\/a)\/a)\/a)**(-6\/17))**25 assuming a is positive.\nAnswer: a**(-55105\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 20 - 6\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -378 - 3*a**3 + 378.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = 9 + 1. Suppose 2*n = 3*i - h, 6 = 3*n - 0. Suppose y = 4*g + 105, -9 - 306 = -i*y - 4*g. Calculate the greatest common factor of y and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2 + -3. Let h = q - -5. Let z be 3\/(140\/64 + -2). What is the greatest common divisor of z and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -2*w**3 - 144*w**2 - 130*w - 458. Calculate v(-71).\nAnswer: -1310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 318*l - 3687 = -189 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-6)\/(-8))\/(36*8\/1792). What is the smallest value in 2\/9, d, 0.3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3743 - -3748. Let f = 0.11 - 9.11. Which is the closest to -0.2?  (a) -0.4  (b) f  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2560173 to the power of 1\/3, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lsusulumldl. What is prob of picking 1 m, 1 d, and 2 u?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -79142 or -79141?\nAnswer: -79142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 90 + a + 2*a - 408 - 2*a + 1375*a**2 + a wrt a.\nAnswer: 2750","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 209 + -343. Let r = -25655.57 - -25521. Let a = x - r. What is a rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(576)*1 - sqrt(576))\/(2*sqrt(108) + sqrt(108)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide ((-1541)\/(-469) + (-4)\/14)*250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/5 in -0.4, 1\/3, 26.143?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) be the third derivative of 18*k**2 + 0 + 0*k + 0*k**3 + 0*k**4 - 1\/168*k**8 - 1\/35*k**7 - 1\/20*k**6 - 1\/30*k**5. Factor t(z).\nAnswer: -2*z**2*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -825118120 - -23.2?\nAnswer: -825118096.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -5*b - 39. Let p(m) = -m**3 - 11*m**2 + 35*m - 5. Calculate the remainder when p(-15) is divided by q(-14).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) be the first derivative of -l**4\/8 + 3*l**2\/2 - 3. Let m(q) be the second derivative of k(q). Let w(f) = -2 + f**2 + 2. What is m(w(r))?\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 - 10 = -t. Let x(q) = q**3 - 7*q**2 + 3*q + 3. Calculate the common denominator of x(t) and (-3)\/(-10) + 13525\/750.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*u + 38 = 4*i + u + 5*u - 30, 0 = -i - 10*u + 178 + 24 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -28, 4, 26, -1, 41, -2 in increasing order.\nAnswer: -28, -2, -1, 0, 4, 26, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*r**2 - 5145015*r - 46304892.\nAnswer: -3*(r + 9)*(r + 1714996)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 - s + 0)*(472*s**3 + 116540 - 116540)*(-2 + 4 + 1) to the form i*s**4 + p + o*s + r*s**2 + l*s**3 and give i.\nAnswer: -1416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -d + 6. Calculate b(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -7*b**2 - 23*b + 163. Give i(-8).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -25.2 + 25. What is the fourth biggest value in 3, i, 4, 5\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -j**2 - 7*j - 1. Let o be u(-8). Let p be o\/12*(0 + -3). Suppose 5*q - 13 = 4*g, 0*g = 4*q - 2*g - 8. Does q = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 21 and 175.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = d - 2*c - 3, -3*c + 2 = 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 231 and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the first derivative of -s**6\/3 + 14*s**5\/5 + 337*s**2\/2 + 283. What is the second derivative of a(r) wrt r?\nAnswer: -40*r**3 + 168*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -39, 2, -36, 74 in decreasing order.\nAnswer: 74, 2, -36, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2)\/(-4)*-2 - -8. List the prime factors of z + (-9)\/(-3) + -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 8, r: 5}. What is prob of picking 1 r and 1 i?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4002231, -8004457, -12006683, -16008909?\nAnswer: -20011135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.5?  (a) 1  (b) 3\/7  (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = q - 4. Let u = q - 5. Suppose t - u*y = -t + 14, -4*t = y - 38. Calculate the least common multiple of 6 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -650502 by -3.\nAnswer: 216834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-5 - (-14)\/(-6))\/(2\/(-6)). What is the greatest common divisor of 1551 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) be the third derivative of j**7\/105 + j**6\/60 - 2*j**5\/5 - 4*j**2 + 44*j. Factor z(r).\nAnswer: 2*r**2*(r - 3)*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/(-7) - 12\/(-42). Let j = 20018\/65 - 308. Is j less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -330620 - 312?\nAnswer: -331232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o - 12 = -2*m, -11*m + 3*o + 35 = 8 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*m = 5*m - 48. Let r be (-1)\/m*(-24)\/52. Let y be 6\/(-39) + (-8)\/(-52). Is y at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = r**2 + 3*r. Let z be g(-8). Suppose 3*h = 5*f + z, -3*h + f = -f - 34. Let p(o) = h*o + 4*o - 13*o. Let n(y) = -36*y. Calculate n(p(q)).\nAnswer: -36*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 9513*q. Let k(m) = -106*m - 4. Let r(c) = 27*c + 1. Let n(p) = -k(p) - 4*r(p). Calculate l(n(t)).\nAnswer: -19026*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 42 + -25. Suppose -g = -4*k + 5*n, 0 = 3*k + 3*n - 2*n + 11. Let c(j) = -j**2 - 2. Give c(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -o**2 - 10*o - 1. Let f(k) = k**3 - 10*k**2 - k + 1. Let n be f(10). Is 4 a factor of g(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((d\/(d**(-2)\/d)*d*d)\/(d*d\/(d\/(d**(1\/3)*d))))\/(d\/(d*d\/(d*d\/d**(-1\/4))*d))**(-1\/3))**(-4\/21))**(-2\/17) assuming d is positive.\nAnswer: d**(10\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1010001010 (base 2) to base 15.\nAnswer: -2d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -0.28, 2, 22\/3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z - 18 = -2*z. Let v(o) be the third derivative of o**6\/20 + o**5\/12 + o**4\/24 + o**3\/3 + 13*o**2. Let u be v(z). Round u to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 258*a**3 + 405*a**2 - 14. Let f(k) = 258*k**3 + 403*k**2 - 17. Let j(v) = -5*f(v) + 6*z(v). What is the third derivative of j(n) wrt n?\nAnswer: 1548","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 13062?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 16 and 14660944.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -148*j - 32*n = -144*j + 292, 10 = -j - n for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) be the second derivative of -10*k**4\/3 - 2*k. Let n(c) = -2*c**2. Give n(x(p)).\nAnswer: -3200*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1.75 + 4.25. Let i = d - -6. Which is the closest to -1?  (a) 1\/6  (b) i  (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 126456 a multiple of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -3*2\/(-12)*(3 - -17). Suppose -i*k - 21 + 5 - 5*k**2 + 0*k**2 + 11 = 0. Calculate k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.03 times -5?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from aaggdgadagzdg.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 100\/60*2\/10*1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 2*g**2 - 52. Let x be f(-5). Let q be (4 - (-72)\/(-27))*(-9)\/x. Let n(r) = -r**3 + 4*r**2 + 13*r + 2. Give n(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -1 + (-1 - -1 - -3). Suppose -5*p - 36 = -4*c, -5*c + p = -d*c - 16. Suppose -2*g = -5*j - 25, -c*j - 17 = -g - 0*j. Solve 2*l + g = -5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 37677, 75683, 114347, 153999, 194969, 237587?\nAnswer: 282183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 (base 7) in base 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 4, q: 1, l: 2, d: 1, t: 7}. Give prob of sequence ll.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1631 and 70?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = -0*n - 12. Suppose -4*k = -3*f - 8, f - k = -f + 3. Suppose -p + 1 - 2 = -v, 0 = f*p - 5*v + 6. Sort n, 5, p in descending order.\nAnswer: 5, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + 4\/30 + (-288)\/540.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*x**5 + 0*x + 0*x + (4*x**2 + 2 - 2)*(x**3 + 0*x**3 - 3*x**3) + (-x - x + 3*x)*(-2*x**4 + x**2 - x**2).\nAnswer: -8*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 32*(-22)\/(-3872)*((-8)\/(-8))\/(1\/(-2))\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -463 + 6?\nAnswer: -454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(832) + -5 + sqrt(117))*2)**2.\nAnswer: -760*sqrt(13) + 18872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) be the second derivative of -2*b + 1\/42*b**4 - 2\/21*b**3 + 0 + 1\/7*b**2. Let l(k) = 0. Calculate k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/25 of a kilometer in centimeters?\nAnswer: 48000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -t**2 - 29*t + 20. Let a be j(-26). What is the common denominator of 13\/54 and a\/168*249\/105?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 21 - 16. Suppose -20 = q*l, w - 5 = -2*w + 5*l. Let n(u) = 2*u + 3. What is n(w)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(567)*2)\/sqrt(9))\/(-4*(sqrt(9) + sqrt(9) + sqrt(9)*2) + sqrt(9))*-4.\nAnswer: 8*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 703175 is divided by 23374.\nAnswer: 1955","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 6760\/(-35490)*2121\/(-4)\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 31584795361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 78 - 77.8. Which is the smallest value?  (a) -0.5  (b) -2\/11  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = h**2 - 16*h + 3. Let c be q(11). Let x be (-4)\/(-14) + c\/(-14). Let a(d) = 1 - 2 - x*d**2 + 5*d**2 - d. Determine a(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1101110110011010101 - -1011?\nAnswer: -1101110110011001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -327953*m**3 - 3*m**2 + 16958*m.\nAnswer: -1967718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-280)\/(-40)*((-15)\/10 - (-51)\/30).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*y - 1 - 29. Suppose -3*n + y*n - 42 = 0. Is n a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 3*r - m + 3, 3*m = -r + 3. Let g = 9 - r. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*6*(sqrt(325)*1*-6*-1 + 1))**2 + 5.\nAnswer: 34560*sqrt(13) + 6739781","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -3531.2189 to the nearest 100.\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is a723 - -40?\nAnswer: a763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -24*d**2*f**3 + 5*d**2*j**2 - 2*d**2*j - 14*d*f**2*j + 3*f**3*j**2 + 111*f*j**2 wrt d?\nAnswer: -48*f**3 + 10*j**2 - 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1287600 rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 580 a factor of 27087160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -136.8 - -166. Let j = 29 - h. Which is the second smallest value?  (a) -4  (b) 4  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) be the second derivative of -q**4\/24 - 5*q**3\/12 + 7*q**2\/2 + 19*q. Solve w(k) = 0 for k.\nAnswer: -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 933.9433km?\nAnswer: 93394330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 22869175?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(9\/8)*c**(-19) assuming c is positive.\nAnswer: c**(-143\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1206231.\nAnswer: 3, 13, 157, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 3*m - 7. Let w be f(5). Suppose 0 = -5*a - 5*n + 15, -3*a = 2*n - w. Suppose a*k - 9 = 23. Is 5 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = z - 239. Let b(u) = -231. Determine 4*b(n) - 3*k(n).\nAnswer: -3*n - 207","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of (-10)\/(-14)*(219 + -170) and 300?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 8620\/473 or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q + m - 16 = 0, -2*q + 2*m = -3*m + 8. Let a = q + -3. Suppose 15 = -a*x, 2*x = 3*w + 10 - 44. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 3\/8 of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -3, 12, 51, 126, 249, 432?\n\"Answer: 2*j**3 + j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 29382?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 4*l - 16. Let h(t) = -11*t + 48. Let y(o) = 6*h(o) + 17*k(o). Let m be y(-7). Factor -2*d + 4*d**2 - 48 - 22*d - 7*d**m.\nAnswer: -3*(d + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -41901376 divided by 2332.\nAnswer: -17968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*f - 14*f - z = -139 + 4, -4*z + 20 = 0 for f.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 12019204 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(120)\/(sqrt(8)\/sqrt(4)))\/sqrt(12).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -56 times -0.0244159\nAnswer: 1.3672904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 140 = -5*k + 480. Let n be ((-459)\/k)\/(1\/(-28)). What is the highest common divisor of n and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -q**3 - 9*q**2 - 162*q - 539. Calculate j(-4).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -n - 1. Let f be (12\/8)\/(27\/(-54)). Let i(k) = -4*k - 4. Let b be (-4)\/14 - (-9)\/7. Let g(d) = b*i(d) + f*c(d). Determine g(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6 - 7. Let u be (-2)\/4*2*5. Put -4, w, u in ascending order.\nAnswer: u, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.004 + 47.004. Which is bigger: v or -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22545 a multiple of 167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*(-1 - 0)\/((-14)\/(-70)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -40 + 40. Suppose j + j + 5*x = 0, f = 3*j - 3*x. Suppose j = 3*u - 11*u + 344. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4324 - 16*s**4 + 24*s**3 + 4329 - 25*s**3)*(-5 + 15 - 1).\nAnswer: -144*s**4 - 9*s**3 + 45","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6634.9996629 - -6635. Round d to 6 dps.\nAnswer: 0.000337","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(0 + sqrt(720)).\nAnswer: 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 121 - 121.0097. Round q to 3 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -7000 * 0.15873.\nAnswer: -1111.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 5) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -18 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1 - -4)*(6 + -7 + 3). What is the greatest common factor of l and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a - 3*a = -4*r + 24, -2*a - 14 = -2*r. Solve u = 6*f - 3*f + 2, -r*u + 6 = -5*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-32)\/(-48)*(-4)\/(32\/(-12)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2  (b) 1  (c) -2  (d) 0.2  (e) -14\/3  (f) -86  (g) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6.1 + 8.3. Sort u, -5, -3 in increasing order.\nAnswer: -5, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 24 = g. Suppose -4*h - 5*v + 128 = 0, -2*h - 4*v = -v - 66. Calculate the remainder when 22 is divided by (h\/g)\/(3\/8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 114*a**2 + 3074 - 3074 - 100*a**2.\nAnswer: 14*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 53, 41, 13, -37, -115, -227?\n\"Answer: -p**3 - 2*p**2 + p + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 24 + -23.7. Let j(t) = -2*t - 28. Let o be j(-15). Let n be ((-6)\/9)\/(56\/(-72)). What is the smallest value in n, k, o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/3, -2\/7, -5, -403 in increasing order.\nAnswer: -403, -5, -2\/7, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 235 - -2231?\nAnswer: 2466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -510 divided by 16?\nAnswer: -255\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 8652.5 - 8652. What is the closest to -1\/4 in -10, -4, -3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -h - 1. Let w(r) = -4*r - 3. Let p(g) = 3*t(g) - w(g). Let d(j) be the first derivative of -3 + 2*j**2 + 4 + 0 - 3*j**2. Determine p(d(m)).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*w - 4*w + 3*w)*(-31 + 25 - 1868*w**4 + 6).\nAnswer: -3736*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xrxwwwgigxxirw. What is prob of sequence gwgx?\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h = 3, -2*m = -0*m - 5*h + 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 53113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 4*c + 10. Let o be s(-2). Suppose -q + 26 = 3*g, 3*q - 2*g = o*q + 1. Let r = q + -32. Round r to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10724152 (base 8) to base 12.\nAnswer: -948436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 13 + -28. Let h = o - -14. Are h and -2\/9 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 792122 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 1 v when two letters picked without replacement from {t: 2, v: 7, y: 3}.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 2480081 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by 2627252?\nAnswer: 3\/2627252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-43)\/2)\/((-5)\/(-10)). Calculate the common denominator of ((-3)\/(-26))\/((-3)\/t) and (-12)\/(-22) - 270\/198.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -97*x + 245 + 696 + 450 = 324 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + -1 + sqrt(1216))**2 - sqrt(1216).\nAnswer: -88*sqrt(19) + 1241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = -2*s - 306, 48*x + 510 = 53*x + 5*s. What is the remainder when x is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in 3, 26, 1\/4, 0.4, 3.343?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10 + 1 + -3 - (25 + (-177 - -51)).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 5*s - 40 = -13, -4*d = -3*s - 23. Let v = -5.9 + 60.9. Let m = v - 54.6. Which is the closest to d?  (a) -4  (b) m  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -6\/283 - -463\/8490. Let r(s) be the second derivative of 1\/18*s**4 + 11*s + 0*s**3 + 0 + 0*s**2 + t*s**5. Determine p, given that r(p) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-1)\/(a\/(a\/(a*a\/a**(-18))*a))*(a\/(a\/(a**2\/a)))**(-31))**(-34) assuming a is positive.\nAnswer: a**1734","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3 + 2. Suppose 5*y - f + 21 = 0, 0 = 4*y - 0*y - 5*f + 21. What is the smallest value in j, 3\/5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4 + 1 + -4 + 1. Suppose -154*i = -158*i - 12. Let a be (-1)\/(j - (-7)\/i). What is the nearest to -0.1 in -3, 7, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -49\/22 and 97\/121580090.\nAnswer: 1337380990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 4\/11, -3, 2\/13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) be the third derivative of -75*a**8\/112 + a**4\/12 - 5*a**3\/6 + 19*a**2 - 4*a. Find the second derivative of t(l) wrt l.\nAnswer: -4500*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11020 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 122, 91, 42, -25, -110, -213, -334?\n\"Answer: -9*d**2 - 4*d + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 93*y**2. Let l(m) = -1850*m. Give l(q(n)).\nAnswer: -172050*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 3*d**2 - 4 + 0 + 9*d**2 + 5. What are the prime factors of u(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(-5\/6)\/b*b**8*(b*b*b**14*b)\/b*b**(-8)\/b assuming b is positive.\nAnswer: b**(79\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 75538 = -11*x + 13*x, x - 7*i = 37739. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 15607847 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = k**3 + 140*k**2 + 924*k - 1225. What is a(-133)?\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -6.533  (b) -25\/7  (c) 0.1  (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 235 + -235. Suppose 2*s - s - 5*t - 35761 = 0, b = -s - 3*t + 35761. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (4\/2)\/4 + (-17673)\/(-86)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.1 less than -54.5388?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (0 - -1 - 1)\/2. Suppose -2*v + p*v = 6. Sort v, 3, -4 in increasing order.\nAnswer: -4, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 567 (base 15) to base 11\nAnswer: a11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1584)*-1)**2 + 5 - -4*-1*sqrt(539) - ((sqrt(132) - (sqrt(132) + sqrt(132)*3)*-4) + sqrt(132))\/(sqrt(12) - 2*sqrt(12)*-6).\nAnswer: -382*sqrt(11)\/13 + 1589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 10, m: 2}. Give prob of sequence mmc.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 39352281 is divided by 724?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -256 greater than 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -11, -8, -5, -2?\n\"Answer: 3*d - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + 1 - (-3 - -2 - 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -16, -2\/7, 0.0812, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (8 + (-7 - 31) - (-22 + 10)) + -11?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-2866)\/(-5))\/((-8)\/(-40)*2). Suppose 0 = 5*a - n - 1232. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 9\/4 and -67\/25127018.\nAnswer: 50254036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 52 - 50. Let d = 5 + -2. Suppose 4*r + 18 = -r - d*f, f = -1. Which is the third biggest value?  (a) -3\/7  (b) u  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2709*m - 10 - 12 + 23 - 237*m)*(3*m**2 - 3*m**2 + m**2).\nAnswer: -2946*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bbbbbb. Give prob of picking 3 b.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 964.\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 338327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.68 minus 33497?\nAnswer: -33498.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 6 - 6. Suppose 0 = 2*z - 6*z. Let l(u) = g*u + 3 - u + z*u. What is l(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4378382?\nAnswer: 2, 223, 9817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4 + -43?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4285101 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 3, 2, -19, -41, 5, -387.\nAnswer: -387, -41, -19, -1, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -9 + 12. Let c be (-1)\/(-1) + (-1 - 0). Suppose c*g + t*g = 15. Solve 0 = g*m + 13 + 2 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -103, -160, -217, -274, -331?\n\"Answer: -57*w - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find i such that -2*i**3\/5 + 44303366*i**2\/5 - 49069701542912*i - 245348552017928\/5 = 0.\nAnswer: -1, 11075842","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -l**3 + 14*l**2 + 15*l + 8. What is h(15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + -5 + 6 + -2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = w**3 + 2*w**2 + 2*w + 1. Let v be z(-1). Suppose 4 = d - v. What are the prime factors of 44*(-2 - (-10)\/d)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1161634586.\nAnswer: 2, 7, 89, 107, 8713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -645, -646, -647?\n\"Answer: -z - 644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 112365 is divided by 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) be the third derivative of -u**8\/840 + u**6\/60 + 2*u**3\/3 + u**2. Let t(y) be the first derivative of q(y). What is the third derivative of t(a) wrt a?\nAnswer: -48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 5, q: 5}. What is prob of sequence qd?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.054 or -122243?\nAnswer: 0.054","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = a**3 + 7*a**2 - 26*a - 63. Calculate k(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*m + 3*m - 12*m)*(0*m**3 + 5*m**3 - 12*m**3).\nAnswer: 91*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -183*a + 201*a = 522. What is the remainder when 68 is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - 1 - 3 = 2*u, 0 = -3*c + 3*u + 33. Suppose 10*s = -0*s + 760. Let g = -68 + s. Calculate the lowest common multiple of c and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = o**3 - 5*o**2 + 4*o + 1. Let j = -1 - -3. Let s be 41 - (0 - (j + 1)). Let f be (-84)\/(-22) - (-8)\/s. Calculate b(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - b + 7 = 2*b, 5*i = 3*b + 5. Let q be (-9 - -6)*15\/6*6. Let t be (9\/(-2))\/(q\/120). Calculate the greatest common factor of i and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -a - 5*a. Which is bigger: 11\/4 or a?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*h - 6*h. Suppose -4*n = -h*n - 8. Let r = 3803.8 + -3804. Which is the third biggest value?  (a) r  (b) -1\/9  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 354 minutes after 11:34 AM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1032.9986406 + -1033. What is w rounded to 5 decimal places?\nAnswer: -0.00136","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2207 + 5062. Suppose -5*f = -5*r - 4750, 2*r + 0*r = 3*f - u. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 125 a factor of 7625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 52789 and 825.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 939427 to the nearest integer?\nAnswer: 969","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*q - q + 3*q + 4)*(q - 3*q + 0*q) + (0*q**2 + 2*q**2 - 3*q**2)*(2 - 1 + 2).\nAnswer: -7*q**2 - 8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2173 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o - 9*h + 26 = -4*h, h = 15*o - 41 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 2, c: 1, p: 2, o: 1}. Give prob of sequence pp.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 8057120245 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -7258834*n**4*x**2 + 623*n*x - x**2 + 3 wrt n?\nAnswer: -87106008*n**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(76) + 2 - sqrt(76))*4)**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*d - 3*d + 4296. Let y = d - 329. Solve -5*c - y = -2*i, -3*i = -5*c + i - 33 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -32563 (base 8) to base 12.\nAnswer: -7b03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3979697 and 647?\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -5\/24 and -97\/6066?\nAnswer: 24264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 - 2 = l. Let m be 56\/70*l\/(-8). Let p(u) = u**2 - 22*u + 1. Let g be p(22). Is g greater than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*a**2\/9 - 14482*a\/9 - 1596896\/9.\nAnswer: -2*(a + 112)*(a + 7129)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of d*n*s**2 + 17*d*n*s + d*n - 121*d*s**3 + 9377*n*s**3 wrt d?\nAnswer: n*s**2 + 17*n*s + n - 121*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 217462?\nAnswer: 2, 7, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 202 minutes after 12:59 AM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 39 + (-3987486)\/(-357) + 1\/(14\/8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*f**4\/5 - 28012*f**3\/5 + 353902*f**2\/5 - 214152*f\/5 - 111744\/5 = 0 for f.\nAnswer: -1\/3, 1, 12, 4656","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w - 804 = -873 for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000340293 rounded to seven decimal places?\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = p**2 + 18*p - 42. What is c(-18)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = z - 3 - 1. Let l(b) = -6 + b**3 - 4*b + z*b**2 + 8 + 2. Determine l(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - i = -t, -4*t = 2*i. Let b be 1\/3 - (-4)\/60. What is the nearest to 2\/37 in -2, i, b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = r**4 + r + 2. Let h(o) = -312*o**4 + o**3 + 6*o + 488. Let m(j) = -h(j) + 6*y(j). What is the derivative of m(i) wrt i?\nAnswer: 1272*i**3 - 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 64 and 1450275376?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -582621*c*t**2 + 2438*t**2 + 21*t wrt c.\nAnswer: -582621*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -18, -70, -152, -264, -406, -578?\nAnswer: -780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 4*k = -11910, -2*z - 4*k = -664 - 4100. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2  (b) -0.5  (c) -0.05  (d) 3  (e) 0.4009  (f) -2.94\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/((45\/405)\/(22\/6))?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 3, g: 3}. What is prob of sequence igi?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-12)\/(-150) - (-1103503)\/(-13515975) and 49\/72.\nAnswer: 34056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 3*i = -42, -5*i - 11 - 24 = -5*f. Let u be ((-54)\/4)\/(f\/(-12)). Solve 5*v + 0*q = q + u, -4*v - 3 = 5*q for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3132 + 1320133123?\nAnswer: 1320123331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 7 + 605\/(-85) - 0. Let z = -369.3 - -369. Sort -1.6, m, 1\/2, z in descending order.\nAnswer: 1\/2, m, z, -1.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3014 is divided by 104.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -22128 + -604?\nAnswer: -22733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/7571 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/(-3)*2*11\/(-33)*6?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor i**2\/5 + 3267683*i\/5 + 3267682\/5.\nAnswer: (i + 1)*(i + 3267682)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 43671?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 59 + -36. Let a = -21 + m. Find the third derivative of 0*c**a - 15*c**3 - 7*c**2 + 7*c**3 wrt c.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33*c + 3385 + 2621 = 0. Calculate the lowest common multiple of c and 52.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.1 and 2.7.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = j**3 + 8*j**2 - 7*j + 10. What is c(-8)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 5113*g - 2879. Is j(3) a multiple of 178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 36580 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 446 minutes before 9:12 AM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 72*v - 31*v**3 + 72*v**4 - 42*v**2 + 28*v**3 - 32*v**4 - 37*v**4.\nAnswer: 3*v*(v - 3)*(v - 2)*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = m**3 + m**2. Let r be 3 + (-4 - -3 - 0). Let k = r + -2. Determine y(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g**(-9))**(-31))**18)**(-18) assuming g is positive.\nAnswer: g**(-90396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = h**3 - 4*h**2 - 6*h + 2. Let r = -10 - -10. Suppose r = -4*a - 2 + 22. Give f(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -l**3 - 230*l - 238*l - 432*l**2 + 468*l - l**3.\nAnswer: -2*l**3 - 432*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 (base 8) in base 11?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6429355, -6429345, -6429331, -6429313?\nAnswer: -6429291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 2*f**2 + 8*f + 7. Let w be 2 + -2 - (-4 + 9). Let b be z(w). Suppose 2*t**3 - t**3 - 16 + b - t**2 - t = 0. Calculate t.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a meter in centimeters?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -160 = 4*j - 9*j. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (62\/372)\/(15\/18).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = n**2 - n + 11. Let m be u(0). Suppose 0 = 4*q + 3 - m. Solve 0 = -q*d - 2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h**3\/3 - 55*h**2\/3 + 130*h\/3 - 80\/3 = 0.\nAnswer: 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 125\/173796 and 13\/8350484?\nAnswer: 175360164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-4)\/(-9))\/(6\/(-6021)*-1) 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 408 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -16217019.5 take away 3.9252?\nAnswer: -16217023.4252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 9 + 0*o + o**3 + 5 + o in the form r + l*o**2 + h*o + s*o**3 and give r.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -4*p + 25. Let f(m) = 0*m + 3*m**3 + m - 5*m**3 - 3*m**2 + p. Is f(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -p**3 - 1. Let a be k(-1). Is a > -18\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-10)\/4*4\/(-2). Let l be (1 - 1)*(-4 + n). Suppose l = -8*c + 4*c. Solve -5*t + 5 = -c for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 47\/1245216 and -151\/177888.\nAnswer: 1245216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 262905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -69*a + 64*a = -2*i - 5, -5*a - 2*i = -25 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 10\/141423 and -127\/5310.\nAnswer: 4242690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1 - -31032420?\nAnswer: 31032416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 6, x: 8, d: 1}. Give prob of picking 4 x.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 112 = 4*c, -2*c + 16 = -f + 45. Calculate the lowest common multiple of f and 20.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -109*c = -114*c + j + 556, 96 = c - 4*j. Solve -111*f + 5 = -c*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -2*d**3 - 4*d**2 - 2*d - 14. Is a(-6) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -40794 and 0.06.\nAnswer: -2447.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*b**2 - 444*b - 1296.\nAnswer: -4*(b + 3)*(b + 108)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*t + 3*i + 38, -5*t = 36919*i - 36925*i - 61 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 128 = -4*t, -w - 2*w = t - 22. What are the prime factors of t?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 63, 119, 193, 285, 395, 523, 669?\n\"Answer: 9*o**2 + 29*o + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:31 PM and 4:44 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 78225514.8 rounded to the nearest 1000000?\nAnswer: 78000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 5*u + 29 = 7, 0 = -2*i - u + 1. Factor n**5 + i*n**3 + n**4 - 4*n**3 + 7*n**3 + 3*n**4 + 2*n**2 - n**3.\nAnswer: n**2*(n + 1)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -54118, -53805, -52952, -51289, -48546?\nAnswer: -44453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -14*(-7)\/14*4\/7. Suppose -d - 2*t = 3*d - 18, a*d = -3*t + 23. Let o(u) = u**2 - 2*u - u**2 - u**3 + u**2. What is o(d)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6276.267 litres in millilitres?\nAnswer: 6276267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 68 - 12 = 0. Suppose -a = -0*v - 4*v, -18 = -2*x - 4*v. Let b be ((-2)\/(-8))\/(x\/(-2)). Which is smaller: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rwt. What is prob of sequence wt?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 341, 356, 375, 398, 425?\n\"Answer: 2*j**2 + 9*j + 330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (12*c - 6*c + 5*c)*(0*c**3 - 2*c**3 - 6*c**3).\nAnswer: -88*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that 830\/9*f - 208\/9 + 8\/9*f**2 = 0.\nAnswer: -104, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -37193.0458 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wyyy when four letters picked without replacement from {y: 8, e: 4, w: 4}.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -52, -175, -386, -691, -1096, -1607, -2230?\nAnswer: -2971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 2814293, 2814295, 2814297, 2814299?\n\"Answer: 2*q + 2814291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 19\/5 + -4. What is the second smallest value in -1, 3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 194.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -281 (base 12) in base 3?\nAnswer: -112021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6*j + 6*j - 10*j**2)*(84 + 12*j - 84 + 17*j + 4*j)*(8*j + 5*j + 27*j) in the form y*j + l*j**2 + k*j**3 + g*j**4 + v and give g.\nAnswer: -13200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -101\/411 + -12\/137. What is the second biggest value in j, 0.025, 5\/3?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 1 - 1)*(-2*i**2 + 1 + 0 + 4*i**2) - 115500*i + 5*i**2 + 115500*i to the form m*i**2 + o*i + w and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 212963244 is divided by 707.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*o = -9*o - 399. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 52077\/16 - 3261. Calculate the common denominator of 91\/15072 and l.\nAnswer: 15072","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 448, 891, 1334, 1777, 2220?\n\"Answer: 443*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11227 (base 8) to base 15.\nAnswer: 1624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -2992*l + 268. Is f(-11) a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 35230 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 86 is divided by 48?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = 3*q - 2227, 310 = -5*q + 4*n + 4034. Is q a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = g**3 - 14*g**2 + 12*g + 13. Let j be x(13). Solve 0*u + u - q = -4, 4*q + 4 = j for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 956*p**2 - 17*p - 29. Is h(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x = -4*s + 24, -20*s + 29*s + 31 = -4*x for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 16) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.3 and -0.05910868?\nAnswer: 0.017732604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 123 = r - 5*w, -3*r + 5*w + 409 = 0. Suppose -2*q + r = -3*l, l - 324 = -3*q - 2*q. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -23741*n**2 - 490*n + 14.\nAnswer: -47482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v**5 - 66300*v**4 + 212518665*v**3 + 48564270830*v**2 = 0. What is v?\nAnswer: -214, 0, 6737","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.153 plus 0.187263?\nAnswer: 6.340263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -60099 + 583531 = 13607*p + 2188*p - 266318 for p.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -14 + 29. Calculate the remainder when 72 is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 72\/(-7) + 14\/49. Let s = -5 - p. Suppose -s*c - 33 = -3*o + 23, 4*c = 2*o - 36. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5?  (a) -4  (b) -2\/163  (c) 0.3  (d) 35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (6 - -2 - 10)\/(-2 + 4). Let z = 38339\/39 + -983. Which is smaller: z or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/9*4167\/5556?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4611 - -4613. Let i be (-272)\/(-24) - (-8)\/(-6). Sort i, q, 0.\nAnswer: 0, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.235246ug to nanograms.\nAnswer: 2235.246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 1013377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor z**2 + 59*z - 10050.\nAnswer: (z - 75)*(z + 134)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 121\/516 and -27\/3010?\nAnswer: 18060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 56.884 - -0.016. Let k = -68 + f. Let n = -11 - k. Which is greater: -0.11 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1604 and 14\/2 - (-8 + 2 - -7).\nAnswer: 4812","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4?  (a) 0.2  (b) 0.5  (c) -0.09  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 8*q**2 + 6*q + 12. Let j be s(-5). Let n = 341 - j. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that -3*r**2\/2 - 135153*r + 270309\/2 = 0.\nAnswer: -90103, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k**(-2\/49)\/k*k)\/(k**(-27\/4)*k*k))**8 assuming k is positive.\nAnswer: k**(2238\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o = -x + 2261, 0 = -x - 370*o + 368*o + 2264. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y - d - 116 = 0, 0 = -4*y + 108*d - 53*d - 30*d + 131 for y.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2 + sqrt(28)\/sqrt(4))*-1*-5)**2 - (-2 + (2 + sqrt(63) + 1 - sqrt(63)))**2.\nAnswer: 100*sqrt(7) + 274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 6 + 13)*(0*m - 4*m + 2*m)*(m**2 + 0 + 0) as x*m**2 + l*m**3 + o*m + n and give l.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + ((sqrt(3) - sqrt(21)\/sqrt(63))*-4*1 + (sqrt(105)\/sqrt(112))\/((-2*sqrt(25) - sqrt(25))\/sqrt(5)))**2.\nAnswer: 395\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 792 is divided by 134?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 13*g**2 - 371*g - 42. Give t(29).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(143) + (sqrt(143) - (sqrt(143) + 5*((sqrt(143) - sqrt(143)*5 - sqrt(143)) + sqrt(143)) + sqrt(143) + sqrt(143))))\/(sqrt(704)*2).\nAnswer: 19*sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -43 + 25 + (-18 - -1) - (5 - (1 + 0))\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 205298879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 3*h. Let y(q) = -288*q + 1. Give 2*x(l) - y(l).\nAnswer: 294*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2869856*u**2 - u**3 - 2869861*u**2 - u**3.\nAnswer: -2*u**3 - 5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 4, c: 1, y: 4, d: 1}. Give prob of sequence kkky.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-12)\/9*(0 + -3). Sort 0.5, -3, u in increasing order.\nAnswer: -3, 0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1121 (base 6) in base 4?\nAnswer: -10021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 899, 1801, 2703?\nAnswer: 3605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + 3 - (-2555 - -2597)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 10) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2620\/(-16375)*(-25)\/6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -79068290 divided by -255059.\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -1 - 1 - (-31674)\/10233. Let p = 6\/379 + n. Find the common denominator of -39\/4 and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -v**2. Let s(a) = -a**2 + 6*a - 6. Let y(t) = -t**2 + 5*t - 5. Let f be -3*(-8)\/6 - -1. Let g(u) = f*s(u) - 6*y(u). What is x(g(w))?\nAnswer: -w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*m**3 + 5*m**3 + 2*m**3.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 131a6 (base 12) in base 16?\nAnswer: 664e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 10*v - 86. Let g be w(9). Let q be (-1 + (-21)\/(-6))*2. Solve -g = -b - q for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3.43152 - 0.15\nAnswer: 3.28152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 13603 and 305?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -467 - -5134\/11. Which is the third biggest value?  (a) -2\/7  (b) q  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -c**3 + 10*c**2 + 21*c**2 - 24*c**2 - 3 + 0 - c. What is the units digit of l(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000049673 to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -40*r**2 + 79*r**2 + 406*r - 37*r**2 in the form j*r**2 + g + f*r and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 38 - 38.03. Let c = -16.6 - -15.6. Let b be (20\/15)\/((-4)\/12). Put 2\/3, c, b, g in descending order.\nAnswer: 2\/3, g, c, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-176 - -181) + 2\/(2\/5). Solve 6*m + n = m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1232\/2730 - (-4)\/(-10))\/(-1).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in s + s - 5*s + s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -16 or -1.82?\nAnswer: -1.82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c + 8*c = 8*c + 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10123353 (base 8) to base 15.\nAnswer: 2c408d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 961885.7 microseconds in nanoseconds?\nAnswer: 961885700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(-5\/8)*j**(3\/5)*((j**(-10)*j*j)\/j)**(11\/4) assuming j is positive.\nAnswer: j**(-991\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.004 + -27.996. Let u = 29 + n. Let k = -12 + 12.1. Which is the third biggest value?  (a) k  (b) u  (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 432396 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 23566\/(-6)*900\/925. Let l = 3822 + d. What is the common denominator of 3\/2*(-464)\/60 and l?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -312 in 2, 4, 17, -1562, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 561027216?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tkt. What is prob of picking 2 t?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 - b**4 + 9*b + 2*b - 3*b**3 - 2*b - b**4 as k*b**4 + x*b**2 + z*b + p*b**3 + r and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -59\/34 and 40\/867.\nAnswer: 1734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**7\/h**(7\/6)*(h\/(h*(h**(3\/7)*h)\/h*h)*h)**(-39) assuming h is positive.\nAnswer: h**(947\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w = -4*w. Let u be (-36)\/17 + 2 + w. Which is the closest to 0?  (a) -4  (b) u  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3 + -1 + -6 + 5. What is the nearest to -0.1 in -7, v, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 9915*w - 1164521 + 54041 for w.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-5)\/4 - (-3)\/12. Calculate the remainder when 21\/9 + (-4288)\/(-96) is divided by (c*16)\/((-2)\/2).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1493773506?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 35 = -23. Let y(v) = 2*v + 3. Let p be y(c). Calculate the highest common factor of p and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0 - -4. Suppose -p*f + f + 363 = 0. What is the highest common factor of f and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 4*r - 9 = 0. Suppose 0 = 3*d - r*a - 21, -4*d - 10 = -8*d - 5*a. Suppose u + 734 = d*v - 3*u, 4*v - u = 596. Round v to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -156\/5, 3, -1\/6, 2, 9, -2\/9 in descending order.\nAnswer: 9, 3, 2, -1\/6, -2\/9, -156\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 48\/13 + -118\/39. Let p = -13.3 - -13. What is the nearest to i in p, -2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.6 - 0.3. Let k = 6.4 - 2.7. Let d = k + f. Which is the nearest to 0.1?  (a) d  (b) -1\/4  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 1228 = -2*b, 2*i - i = 4*b - 2441. Calculate the greatest common factor of 47 and b.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -20854, -41707, -62560, -83413?\n\"Answer: -20853*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) be the second derivative of -o**7\/840 - o**6\/180 + o**5\/120 + o**3\/6 - 6*o. Let a(i) be the second derivative of w(i). Determine a(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -u - 4. Let r = u - -29. Let t = 28 - 26. What is the highest common factor of r and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 439 minutes before 5:57 PM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 20989 or 20990?\nAnswer: 20990","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56 = -l + 8*l. Calculate the smallest common multiple of 7 and l.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.18 and -97995326?\nAnswer: 97995325.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -466756400 rounded to the nearest one million?\nAnswer: -467000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) be the first derivative of -6987*b**5\/5 - 196*b**3\/3 + 6*b**2 - b - 1760. Find the third derivative of q(n) wrt n.\nAnswer: -167688*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0342 minus 3.1829?\nAnswer: -3.1487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let 36\/5*k**4 + 84\/5*k**3 - 36\/5*k + 8\/5 + 4\/5*k**2 = 0. What is k?\nAnswer: -2, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -4*z + 15. Let h be f(3). Suppose 3 + 1 = 2*c. Differentiate 3*y + y**2 + 2*y**c + 2 - h*y with respect to y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -555 divided by -111.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -5865\/308 + -16\/77. Let w = u + 19. Let o = 14 - 13.9. Put w, 1\/3, o in increasing order.\nAnswer: w, o, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 143151512 is divided by 71575745?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 574, 2289, 5148, 9151, 14298?\nAnswer: 20589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*j - 17*j = -6. Solve -j*s - 4 = -10 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 0\/(-1) + 2 + 841\/(-3). Let n = 281 + c. Calculate the common denominator of -41\/8 and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2638986?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 3*n**2 + 2*n - 1. Let o be w(1). Suppose o*l = -l - 10. List the prime factors of (0 - 7)*(1 + l).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 139*g - 17 - 3*g + 17.\nAnswer: 136*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 73723.29 milligrams to grams.\nAnswer: 73.72329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 71762*n*r*v**3 + 1417938*n*r + 2*r*v wrt v?\nAnswer: 215286*n*r*v**2 + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 864833923.\nAnswer: 67, 12907969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (sqrt(1216) - (sqrt(1216) + 4 + -4*sqrt(1216))) + sqrt(1216))**2 - (sqrt(57)\/(-2*sqrt(3)) - (sqrt(171) + 0))**2*-1.\nAnswer: -480*sqrt(19) + 122675\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1089708383 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 147 = -0*o. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -8 (base 11) to base 9.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -41\/4, 0.4, 6, 3, 5 in increasing order.\nAnswer: -41\/4, 0.4, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 - 7 - -13 - ((8 - 16) + 30).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 6 - 6. What is the third smallest value in 2\/17, 1, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -h**2 - 2*h + 2. Let u be d(-2). What is the units digit of 2 - (u + -1 - 8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -10*z**2 - 39*z - 269. Calculate l(-6).\nAnswer: -395","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*((a\/((a\/a**(2\/7))\/a)*a)\/a*a)\/a*a*a*a\/(a**(2\/19)*a*a))**(-23) assuming a is positive.\nAnswer: a**(-9729\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -q**2 + 2*q + 7. Let r be l(-3). Let n = 6 + r. Is -14 at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u = -3*t + 1474 - 1410, 0 = 4*u + 4*t - 112 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1452570 or 1452571?\nAnswer: 1452571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dddddvggr. What is prob of sequence dv?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 4901812.74 rounded to the nearest ten thousand?\nAnswer: 4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 163 divide 4740040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1594?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -13975608, -27951202, -41926796?\nAnswer: -55902390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11073 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 413 is divided by 50.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Determine m, given that -252*m**3 - 43608*m**2 - 2067*m + 1557 = 0.\nAnswer: -173, -3\/14, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*j - 1 = -1 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -0.5*0.019\nAnswer: -0.0095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 13 or 579\/47?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 58870 and 126266.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 48 and 23376.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 17 - 12. Suppose 0*o - p*o = -115. Let n = -5 + o. What is the greatest common factor of 45 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (1\/(-5))\/((-1989)\/2210). Factor 0 - 2\/9*q**3 + s*q**2 + 4\/9*q.\nAnswer: -2*q*(q - 2)*(q + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 948\/319 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-16)\/((w\/w**(-1\/32))\/w*w*w))**14 assuming w is positive.\nAnswer: w**(-4039\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*f + 2*n + n - 19, -n + 1 = 0. Suppose 0 = a + f*a - 20. Find the third derivative of -16*c**4 + 10*c**2 - 9*c**a + 11*c**2 wrt c.\nAnswer: -600*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 6169 and 1194.\nAnswer: 37014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 76\/1771545 and 77\/79620?\nAnswer: 7086180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3, -5, -23, -57, -113, -197, -315?\nAnswer: -473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2610, 5450, 8306, 11184, 14090, 17030, 20010, 23036?\nAnswer: 26114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = m + 7. Let l be d(-5). Let k be (2 - l) + 4*3. Solve -3*r = k - 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = z + 3*z - 5*z. Let x be s(-6). Let f be 70\/x + (-2)\/(-6). What is the greatest common divisor of 4 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 330888*o**3 + 10*o**2 - 61*o - 92 wrt o.\nAnswer: 1985328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is b - 809?\nAnswer: -7ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1516623967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*w - 3 - 25*w - 26*w + 79*w.\nAnswer: 6*w - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 18 = -0*f. Let s be (-6)\/(-4)*13\/((-351)\/(-36)). What is the highest common divisor of s and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 501927 divided by 2?\nAnswer: 501927\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 125 is divided by 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-14)\/294*7\/(-1)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 46312 - z**2 - 253*z**3 - 46312 - 8*z**3 - 1813*z**3 in the form s*z + h*z**3 + f*z**2 + l and give h.\nAnswer: -2074","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -105 + 1?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10 - -121021102?\nAnswer: 121021022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - -8 - (14 + -7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -19.898 and 0.138?\nAnswer: 20.036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-2)\/4)\/(52\/(-208)). Solve l*f + 11 = -d + 8, 2*d - 22 = 3*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/16 of a kilometer in centimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c - 4*k = 2, k - 14 = -4*c + 3 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 753, -0.1, 1\/6, -24, -1 in decreasing order.\nAnswer: 753, 2, 1\/6, -0.1, -1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 35 and 7385.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of (-20)\/6*4\/(-10)*6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 459.66 + -10.96. Let z = t + -638. What is z rounded to the nearest 10?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(228)*1*-1 + (sqrt(228)*2 + sqrt(228))*5)\/(sqrt(84)\/(sqrt(7) - (sqrt(7) + sqrt(63)))*5))**2.\nAnswer: 33516\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9941131 is divided by 1242641?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + n - 186 = 0, -5*f + 171 + 723 = -4*n. List the prime factors of f.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 46*c - 3*k - 255 - 7 = -41, -3*c = k - 18 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 39*c + 23. Let m be w(5). Let d = m - 1086\/5. Put 1, -2, d in increasing order.\nAnswer: -2, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 55.23 + -55. Let w = -5.43 + h. Round w to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 34\/10785103 and 56\/3649095.\nAnswer: 485329635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2902524*t**3 + 701*t**2 - 10*t + 42.\nAnswer: -17415144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -1 - (3 + -8) - -24. Suppose -3*y - i = -196. Let a = -37 + y. Calculate the remainder when a is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -10 and 5.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -47*f*j**2*w**2 - f*j**2 - 906*f*j*w**2 - 4*f*w**2 - 58*j**2*w + 71*j**2 + 3*w + 1 wrt w.\nAnswer: -94*f*j**2 - 1812*f*j - 8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -44*j - 47. Let y be w(-1). Let z(s) = -s - 14. Let l(v) = -5. Let t(x) = 11*l(x) - 4*z(x). What is t(y)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 31 = -5. Let u(o) = -2*o**2 - 13*o + 10. Let g be u(-7). What is the third derivative of y - 12 - f**g - 5*f**2 wrt f?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3 + -4042213443?\nAnswer: -4042214001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - (1 + -4 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 175 minutes after 7:06 PM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*u**4 + 42*u**3 - 196*u**2 + 240*u.\nAnswer: -2*u*(u - 15)*(u - 4)*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) be the third derivative of y**8\/672 - y**7\/140 + y**6\/120 + y**5\/60 - y**4\/16 + y**3\/12 + 11*y**2. Determine j so that f(j) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.16 + -0.16. What is the nearest to -12 in 1, -0.06, r, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -3*w + 4*j, -5*w + 27 = 3*j - 13. Let n(s) = -4*s**2 - 5*s + 5. Let z(o) = o**2 + o - 1. Determine w*z(p) + n(p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 11) to base 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 167\/5, 46, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:56 AM and 7:55 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (14 - 8) + 37 + -43 + (-4 - -46)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 4721597 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 423660, 423666, 423672, 423678?\n\"Answer: 6*a + 423654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) be the first derivative of k**3\/3 + 3*k**2 - 11*k - 13. Let u be c(-8). What is the greatest common divisor of 25 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -23194 divided by -2?\nAnswer: 11597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -142\/171 + 20\/19. Put g, 0, 3 in decreasing order.\nAnswer: 3, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*j + 41*j - 340 = -13*j. Let q(n) be the third derivative of 17*n**2 + 0 + 19\/12*n**j + 0*n + 37\/6*n**3. What is the first derivative of q(p) wrt p?\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 686310223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 887, 63, -946 in decreasing order.\nAnswer: 887, 63, -946","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4*4\/240*(-387)\/(-43).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -78*h - 9. Let d(l) be the second derivative of -19*l**3\/3 - 2*l**2 + 7*l. Let m(n) = -3*b(n) + 5*d(n). Find the first derivative of m(j) wrt j.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vv when two letters picked without replacement from lnpvnvvlllvvvplnvlvl?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -271*s + 550 - 3640 = -889*s. Solve 0 = l + u, s*l - 4*u + 16 = l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 38\/27, -5, -18?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18739660.\nAnswer: 2, 5, 251, 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 228 = 5*o + 3*t, -3*t = 10 + 2. Let j be 2\/(-5) + o\/(-80) - 4. Let r(v) = -v**3 - 6*v**2 - 7*v - 5. What is r(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 184 is divided by 46?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*v**4\/5 - 4*v**3 - 56*v**2\/5.\nAnswer: 4*v**2*(v - 7)*(v + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express u**4 - 58*u**3 - 6 + 4 - 31*u**2 + 57*u**3 as y*u + l + x*u**2 + g*u**4 + z*u**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 35581, -26 in increasing order.\nAnswer: -26, -2, 35581","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) be the third derivative of -q**4\/8 - 378*q**2. Let u(m) = 57*m**2. Calculate o(u(g)).\nAnswer: -171*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 679 minutes before 4:47 AM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 712*p**5 + p + 39.\nAnswer: 14240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 82, 144, 186, 202, 186, 132, 34, -114?\n\"Answer: -c**3 - 4*c**2 + 81*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 140, 278, 370, 392, 320, 130, -202?\nAnswer: -700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (1 - 3\/12) + 490\/(-56)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 15 - 13. Suppose 4*w = 4*k + 72, -2*w - 3*k = s*w - 86. Is 5 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2 + -50?\nAnswer: -4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -809*u + 813*u = 12. What is the remainder when 12 is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 37*m**2 + 10501*m + 3. Let g(z) = 5*z. What is a(g(o))?\nAnswer: 925*o**2 + 52505*o + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = q**2 - 16*q + 6. Let r be h(16). What is the smallest common multiple of 16 and ((-22)\/r)\/((-4)\/24)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -u + 2. Let h(t) = 3*t - 6. Let y(i) = -i - 15. Let s be y(-17). Suppose -3*z = -4*p + 28, s*z + 28 = 3*p + 2*p. Let a be h(p). Calculate w(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) be the third derivative of -u**4\/4 + u**3\/3 + u**2. What is the least common multiple of v(-6) and 18 + (1 - 10) + -1?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 79 - 70 = 50*i - 191. Factor -4\/5*a**3 + 2\/5*a**i - 8\/5*a**2 + 0 + 16\/5*a.\nAnswer: 2*a*(a - 2)**2*(a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 97542 to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 898.869mm in meters?\nAnswer: 0.898869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.04534465 - 2028866?\nAnswer: -2028866.04534465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w*w*w**(4\/11)*w**(-3\/8)*(w**3\/w)**(-40) assuming w is positive.\nAnswer: w**(-6865\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -5360, -10664, -15964, -21260, -26552?\n\"Answer: 2*s**2 - 5310*s - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 81183.\nAnswer: 3, 27061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -24 - -41. Suppose 0 = -15*j + m*j + 16800000. Round j to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 2*d. Let u(b) = -6*b. Let c(t) = -2*t. Suppose 2*a = -0*a - 16. Let v = a + 15. Let m(n) = v*c(n) - 2*u(n). Determine m(f(q)).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (s**2 + 2*s**2 - 4*s**2 + (-s - 3*s + 2*s)*(-4*s + s + 10*s) - 4*s**2 + 3*s**2 + 3*s**2)*(8*s + 2 - 2) as r*s**3 + v*s + f + i*s**2 and give r.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -4723 divided by 34569?\nAnswer: -4723\/34569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 4 = -4*o, 3*o - 9 = -8*v + 4*v. Find the third derivative of 31*y**v - 10*y**6 - 14*y**2 - 4*y**2 wrt y.\nAnswer: 2520*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 6 - 4 + 31*d + 0*d.\nAnswer: 31*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000007504603 rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = 2*i - 28. Suppose 2*j = 7*j - 10. Is 5 a factor of j - (2 - (i - 0))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -741 + 917. Let n be ((-2)\/(-3))\/(h\/165 - 1). Solve 0*z + n = -4*z + 3*f, -1 = -5*z - 3*f for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = r**3 + 2*r**2 - 4*r - 11. Let w be z(-7). Suppose 1733 = 4*l - 3*u, 3*u + 16 = 7. Let i = w + l. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-22 + 16 - 15) + 48 + -21?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 47 - (-2)\/(-4 - -2). What is the highest common divisor of 23 and o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -129253, -129367, -129483, -129601?\n\"Answer: -f**2 - 111*f - 129141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ptpe when four letters picked without replacement from {s: 1, e: 1, p: 2, t: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (1 + -3)*2\/(-2). Let o(a) = -a**2 + 2*a + 1. Let k(x) = -11*x - 2 + 0*x + 4*x**2 - 2. Let j(v) = p*k(v) + 11*o(v). Solve j(h) = 0 for h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 5*z + 20. Let f = -21544 + 21544. What is w(f)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 538 is divided by 263.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that -2*r**2\/23 - 21188*r\/23 - 1890720\/23 = 0.\nAnswer: -10504, -90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 865, 1732, 2599, 3466, 4333?\nAnswer: 5200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is (((-223763)\/(-2))\/19)\/(1\/2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 2*z - 56 = 0, 2*z = 5*m - 0*m - 244. Let d be 9*-1*(-10 - -5). Suppose -d = -4*h + 3*h. Calculate the least common multiple of m and h.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) be the third derivative of 5*k**5\/72 + 5*k**4\/24 + k**3\/4 + 20*k**2. Factor y(u).\nAnswer: (5*u + 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 303*f = 3094 + 16298 for f.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -2*r**3 + 2*r**2 + r - 10. Let x(z) = -2*z**3 + z**2 - z - 12. Determine 4*c(m) - 3*x(m).\nAnswer: -2*m**3 + 5*m**2 + 7*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) be the second derivative of 5*o**7\/42 - o**6\/6 - 3*o**5\/2 + 5*o**4\/3 + 20*o**3\/3 + 37*o. Factor f(a).\nAnswer: 5*a*(a - 2)**2*(a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -i**3 - 8*i**2 + 8*i - 4. Let t be w(-9). Suppose -4*l + 0*l + t*d = 7, -3*l + 4*d = 6. Put -5, -2, l in ascending order.\nAnswer: -5, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -6\/5 in 6\/7, -1, -1\/2, -2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 695*j**3 - 156937 + 0*j**2 + 0*j**2 - 2099*j**3 + 156937.\nAnswer: -1404*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 58\/13563 and -5\/10686.\nAnswer: 352638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -726 + 733. Put c, -0.2, -4 in ascending order.\nAnswer: -4, -0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 24.68225 days?\nAnswer: 2132546400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -88530 and 424493217?\nAnswer: 424581747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 135005349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-2338)\/4)\/((-7)\/13986). Suppose x = g - 940. Suppose -2*q + g = -471229. What is q rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:34 PM and 4:59 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 32470 and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -145 = -2*l + 8*k - 3*k, -4*k + 304 = 4*l. Calculate the highest common factor of l and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2100 (base 4) in base 13?\nAnswer: b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -101111000011010011 (base 2) to base 12.\nAnswer: -93643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 114 - 97. Suppose -3*l - 3 = -5*v + 6, o = 3*v + 4*l. Solve 10 = v*p - 2 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.3, 0, 7\/58, -69?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-1)\/r*r**(-6)*r)\/(((r**(1\/2)\/r)\/r)\/r)**(10\/3))\/((r**2*r)**40\/(r*r**0*r**(-2\/9))) assuming r is positive.\nAnswer: r**(-1061\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -7571 - -8403. What is the lowest common multiple of w and 2704?\nAnswer: 10816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.2 - -0.2. Let u be 1 - -2 - (-18)\/(-2). Let i be -3 + (-2 - 38\/u). Which is the nearest to o?  (a) -1\/6  (b) 5  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ms when two letters picked without replacement from msmsmsmsvss.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000001810776 to seven decimal places.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2*1028\/40 - 24\/60. Suppose 22*g - 15 - l = 0. Let d = 3 + 6. Solve -4*j + 9 + 4 = -k, d = g*k + 4*j for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/(((-36)\/(-16))\/((-27)\/(-72)))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19365*s**3 - 3*s**2 + 3*s**2 - 9790*s**3.\nAnswer: 9575*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 908, 2967, 6166, 10505, 15984, 22603, 30362?\n\"Answer: 570*q**2 + 349*q - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*w - 436 = 1225. Is 11 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1\/21 and 47\/33?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Product of -361149 and 0.052.\nAnswer: -18779.748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Add together 4 and 1418.08.\nAnswer: 1422.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 - ((0 + 3 - 3) + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is y in -2*y**2 - 184*y - 704 = 0?\nAnswer: -88, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3835 and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -6 - -9. Let m = f - 2. Let q = 2 - 2. What is the nearest to m in -1\/3, q, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -5\/13829371?\nAnswer: -5\/13829371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-11 - -16) + (1 - 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 6, a: 12}. Give prob of sequence aa.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-8)*-1)\/((-9)\/(-48)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8821788, -8821793, -8821798?\nAnswer: -8821803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2.16 + 1.24. Round g to 1 decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -8*f**2*l**2 - 163*f**2*l + 2*f*l**2 wrt l?\nAnswer: -16*f**2 + 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 12) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -8.3 + 8. Let z = -0.396 + 0.222. Let b = 0.326 - z. What is the closest to 1\/3 in b, 2, v?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -218307, -436951, -655595, -874239?\n\"Answer: -218644*z + 337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3\/5?  (a) 3  (b) -3  (c) -9\/2  (d) -0.1  (e) 3\/10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 19591 - 43939. Let v = -24348.026059 - p. Let s = v + 0.026. Round s to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 3, -616, 1\/2, -2\/225.\nAnswer: -616, -2, -2\/225, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*q + 2*q - 257*q**3 - 680*q**3.\nAnswer: -937*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/7, 1, -0.3, -12142 in decreasing order.\nAnswer: 1, -0.3, -3\/7, -12142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 807\/5, -5, -6\/271 in increasing order.\nAnswer: -5, -3, -6\/271, 807\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (94 - 94 + 11*w)*(-2*w + w + 0*w) + w**2 + 1 - 2*w**2 + 0*w**2.\nAnswer: -12*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -73307\/24 - -3055. What is the common denominator of h and (19\/114)\/((-52)\/27)?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by 171474204.\nAnswer: -5\/171474204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-4)\/v**(5\/6)*v**(-11)*v\/(v**(-10)\/v))**41 assuming v is positive.\nAnswer: v**(-943\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.831 + 226903?\nAnswer: 226902.169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 3*c - 671 = 0, 14 = -4*c + 6. List the prime factors of j.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -233421 (base 5) in base 6?\nAnswer: -103511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 376779208.\nAnswer: 2, 13, 31, 116867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**0\/g*g\/(g\/(g\/(g*g**(-2\/19)\/g)*g))*g)\/(g**(-2)*g**(-2\/3))*(g**(-2\/3))**7*(g*g*g*g\/(g**(-3)*g))\/((g*g\/(g*g\/g**(-4)))\/g) assuming g is positive.\nAnswer: g**(211\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -14988264.11 to the nearest 10000.\nAnswer: -14990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (92\/(-1380))\/((16\/(-60))\/2).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 11604120 and 99.\nAnswer: 34812360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -a**3 - 38*a**2 + 17307*a + 211423. Give t(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*f + 20, 5*o = 6*f - 3*f + 25. Solve 3*q + 14 = y - o, 2*y - 3*q - 20 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that 2*m**2\/3 + 2360988*m = 0.\nAnswer: -3541482, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6294498?\nAnswer: 2, 3, 7, 73, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:36 PM and 11:58 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -195.061 - -195. Let i = -0.561 - x. What is the nearest to -14 in i, 3, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*n**4 + 34*n**3 - 86081*n**2 + 31818583*n - 1?\nAnswer: 24*n**2 + 204*n - 172162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 139 - 125 = -119. Are u and -86 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*l**3\/11 - 2864*l**2\/11 - 2865382*l\/11 - 2862516\/11 = 0. What is l?\nAnswer: -678, -1, 2111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 275063242.\nAnswer: 2, 2753, 49957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4983095 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*s - 93 = 24*s - 5*d, -2*d - 79 = -s. Calculate the remainder when 1821 is divided by s.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 213 + -215. Let o(t) be the first derivative of -17*t**2\/2 - 1. List the prime factors of o(f).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -6*m**2 + 9*m + 7. Let h be n(11). Let b = -170 + h. Round b to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c**3 + 402*c**2 + 14112*c + 148608 = 0. What is c?\nAnswer: -86, -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d = 0, -6*j + j - d + 110 = 0. Calculate the least common multiple of j and 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3058*j**2 + 2288*j + 24255112 with respect to j.\nAnswer: 6116*j + 2288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0 + 0.2. Let b = -119309 - -238621\/2. Let i be (7 + -1)*(-2)\/(-9). What is the third biggest value in b, y, -2\/7, i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2)\/((0 - 13) + 0). Which is the nearest to 1\/3?  (a) 1\/5  (b) w  (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1484268 divided by 63?\nAnswer: 494756\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -113343 - -113343. Let d = -84 + -77. Is d > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) be the second derivative of -b**4\/18 - 1669*b**3\/9 + 1670*b**2\/3 + 9636*b. Factor a(y).\nAnswer: -2*(y - 1)*(y + 1670)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 14*h - 4. What is the tens digit of j(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = 4*g + 4*v - 13, 5*v - 10 = -5*g. Let a(q) = -4*q + 2*q + 3*q + q**3 + 2*q**2 + g - 3*q**2. Calculate a(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 80*s. Let z be y(1). Suppose -4*d + 8*d = z. Is d a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10 - 23 + 9*a + 8 + 3*a - 4 to g*a + p and give p.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -u - 1 + 12 + 2410*u**2 + u - 2380*u**2.\nAnswer: 30*u**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 179984117.\nAnswer: 17, 727, 14563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 113\/4, 415, 3 in decreasing order.\nAnswer: 415, 113\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u + 5*j + 21 + 16 = 0, 34*j = 19*u - 29*j + 65*j - 167 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -c**2 + 7*c + 1. Let r be q(7). Suppose 0 = 4*m - 9 + r. Suppose m*f = 10 - 22. Let i(z) = z**3 + 5*z**2 - 5*z - 1. Determine i(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (28 - 0) + -33 + -30.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.25 + 0.15. Sort k, 9, -0.3.\nAnswer: -0.3, k, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 65*a = 69*a - 44. What is the greatest common factor of a and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) be the second derivative of 5\/2*o**3 + o - 31\/2*o**2 - 3. What is the tens digit of l(18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-4)\/(-10))\/(8\/(-4)). Let t = -411 - -410.7. What is the third biggest value in -1\/3, t, s, -0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 4, -3\/581, 80, -5\/2.\nAnswer: -5\/2, -2, -3\/581, 4, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -1 + -1 + (-2)\/2. Let q = 4 + 0. Suppose 0 = 2*l - q, 2*t + 5 = t + 2*l. What is the second biggest value in 0.3, t, k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 96 a factor of 425716704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.78387 - 0.10387. Let v = 2.51 - -0.72. Let s = v + w. Round s to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-27)\/24)\/((-15)\/20). Which is the closest to -2\/3?  (a) -0.1  (b) m  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a + 151 = -3*k, 1397*a + 149 = -k + 1393*a for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 37464595?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 84*w - 80*w - 8. Let d be 14 + -3 + 2 - -1. Calculate the highest common divisor of w and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -9*z - 5. Suppose 2*g - 4*u + 83 = 9, 3*g + 123 = 3*u. Let x = 15 + g. Let l be (3 - (2 + 7))*25\/x. Let t(m) = 8*m + 4. Determine l*t(p) + 4*k(p).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) be the second derivative of c**4\/72 - 21*c**3\/4 - 191*c**2\/6 - 283*c + 10. Find k, given that u(k) = 0.\nAnswer: -2, 191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 16 + 25 + -46 - -4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 438264?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -90 - 279*r - 538*r + 90.\nAnswer: -817*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in eleven eighths of a gram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -64*n. Let h(u) = 1109*u. Determine g(h(s)).\nAnswer: -70976*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -54*w + 56*w = 9*a - 10, -4*a - 5 = w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -53\/496 and (-6050417)\/265050 - -23 - (1 + (-7)\/9).\nAnswer: 12400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1320663621 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - 81 = -4*t + 11, 61 = 5*t + 4*h. Suppose 4*s - 3*j = 4, s = 5*s + 4*j - 32. Solve -4*i = -3*i - s*z - 11, -3*i = -4*z - t for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -67587740 divided by -47597\nAnswer: 1420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -9, -21, -47, -93, -165?\nAnswer: -269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 71 - 27*j - 45*j + 110*j - 41*j.\nAnswer: -3*j + 71","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 10583*u**2. Let l(d) = 68*d**2. What is v(l(q))?\nAnswer: 48935792*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3152391817 - -169.\nAnswer: 3152391986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 348132.\nAnswer: 2, 3, 67, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor s**4 + 31*s**3 + 59*s**2 + 29*s.\nAnswer: s*(s + 1)**2*(s + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 27 + -28 + (10 + -6 - 8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1680699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 1288*q - 15490. What is m(12)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.029379 rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1096, -4315, -9654, -17077, -26548?\nAnswer: -38031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 23144.25 hours in microseconds?\nAnswer: 83319300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1571098899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 4129624 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Are 245 and -93033 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2665364 - 1?\nAnswer: 2665363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*h + 7477 = t - 5*h, 37409 = 5*t + 4*h. What is the hundreds digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3053, -3052, -3051?\nAnswer: -3050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 16*a - 19 - 45. Suppose -6*s = 4*k - 3*s + 40, 3*k + s = -25. Let c = k + 13. Sort -3, c, a in ascending order.\nAnswer: -3, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 21d48 (base 14) to base 3\nAnswer: 11011202000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 11232 and 31478112?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mrlj when four letters picked without replacement from {m: 4, r: 1, g: 1, j: 1, l: 2, i: 6}?\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*y - 36 = -3*y. Let t(k) = k**2 - 5*k + 9. Let q be t(y). What is the second derivative of 1 + z**q + 17*z**5 - 1 - 38*z wrt z?\nAnswer: 360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -10112740 - -21?\nAnswer: -10112717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1232479 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -770*u + 2487. Give r(3).\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -2*i**3 + 20*i**2 - i. What is c(9)?\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4\/(-9)*5\/(-120)*-45. Which is the second smallest value?  (a) -3  (b) 1\/6  (c) g  (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*g + 3269 - 2789 = 0 for g.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -283*i*r**5 + 146*i*r**2 - 41*i - 4*r**5 wrt r.\nAnswer: -16980*i*r**2 - 240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b + 14 = 2*a, 3*a + 5*b + 0 - 25 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 71 * 0.07.\nAnswer: 4.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 81658 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = k**3 - 16*k**2 + 1. Let l be a(16). Let t(r) = 1. Let o(i) = 3*i - 4. Let m(g) = l*o(g) - 4*t(g). Differentiate m(s) with respect to s.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11, 0.32, -2\/11, -2\/15, 0.5 in decreasing order.\nAnswer: 0.5, 0.32, -2\/15, -2\/11, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -33*r - 29. Calculate o(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 568 = -8*t + 1752. Let a = -139 + t. What is the remainder when 49 is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 448 minutes before 11:45 PM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -2*n**2 + 2. Let t(h) = -33*h**6 + 34*h**6 + 5*h**2 + 11 - 14*h**2. Let f(y) = 11*c(y) - 2*t(y). What is the third derivative of f(u) wrt u?\nAnswer: -240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 58109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1717017666 to the power of 1\/2, to the nearest integer?\nAnswer: 41437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 24643*l - 14366873. Calculate t(583).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (11018\/(-16527))\/((-256)\/(-36))?\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 27926, 55892, 83858, 111824?\nAnswer: 139790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 108125231 to the power of 1\/3, to the nearest integer?\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -1*-6*12\/792\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -7*d*k**3 - d*k**2 + 258*d*k + 209*k**3 - 2*k**2 + k wrt d.\nAnswer: -7*k**3 - k**2 + 258*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 4 and (-2)\/10*1 - (-8)\/((-2977920)\/(-76473))?\nAnswer: 8272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dq when two letters picked without replacement from eqdskbke.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -169*j = 1910 - 51 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 60*d + 23215 = 64615. Is 23 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 13373.1 to the nearest 100.\nAnswer: 13400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -432.005732 - -432. Round f to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18 divided by -4.\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-2)\/(-6))\/((-8)\/(-120)). Suppose 0 = 4*p - n - 223, 0*p + 3*p - q*n - 180 = 0. What are the prime factors of p?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-7)\/(-5))\/(457\/11425).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 2, r: 1, i: 1, f: 5}. What is prob of picking 1 f and 1 i?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -65, -4, -6, 5?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.4739 - 5.4739. Let b = 1\/21 + 17\/84. Put b, 4\/7, p in increasing order.\nAnswer: p, b, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lllblllllllllblllll. Give prob of sequence lbbl.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 130 is divided by 426\/(-355)*(-660)\/9?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -55 - -56. Suppose 6*t - v - 17 = 0. Find the common denominator of ((-110)\/(-14) - 2)\/t and 38\/33.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = g**3 + 11*g**2 + 10*g + 3. Let v be d(-10). Suppose b - 121 = -0*b - 2*o, 0 = v*b + o - 378. What is b rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1\/2*(2 - 4). Let i(q) = q - 1. Let v(x) = 2*x + 1 + 3 + 2*x - 3*x**2 - 7. Let g(y) = j*v(y) + 4*i(y). Differentiate g(l) with respect to l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = -0*f. Which is smaller: 0.08 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1\/4 + (-14)\/40. Suppose -921*c + 897*c = -48. What is the closest to -1 in -1, s, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*u + 18*u = 10*u. Let m(h) be the third derivative of u*h + 1\/24*h**4 - 5\/3*h**3 + 0 - 10*h**2. What is the first derivative of m(q) wrt q?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11953018.\nAnswer: 2, 7, 11, 77617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.12?  (a) -0.1  (b) -0.6  (c) -0.591  (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-326)\/(-60)*11\/((-4)\/(-4)). Let o = 294\/5 - w. Find the common denominator of o and -67\/66.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1921?\nAnswer: 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2677, -9960, -21847, -38344, -59457, -85192, -115555?\nAnswer: -150552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-1\/3))**(-21))**(-10\/7)\/((s**(-3)\/s)\/((s\/s**(-5))\/s)*s*s*(s\/(s*s**(-2\/5)))\/s*s*s*s**(-2\/11)*s) assuming s is positive.\nAnswer: s**(-287\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**4*a**(-10\/7)\/a*a**(1\/3)*a*a*a**(-1\/3) assuming a is positive.\nAnswer: a**(25\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 8 + -8. Let n be (-168)\/7 + (l - -1). Let x = n + 38. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -5444, 1, -4 in ascending order.\nAnswer: -5444, -4, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1, -47, -1\/4, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) be the first derivative of -s**4\/4 - 2*s**3 + s**2 + 2*s - 3. Give w(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 147*a - 30*a - 114*a + 949.\nAnswer: 3*a + 949","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 196*(-315)\/2940 + (2 - 3082\/(-162))\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Are -41 and -611\/15 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 114 = 17*d + 46. Suppose -2*x - 3*m - 16 = -4*x, -d*x = -m - 12. Solve x = -4*c - 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ccncnc. Give prob of picking 2 c and 1 n.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(13) - (0 + 3*sqrt(13) + sqrt(13)))**2*-1.\nAnswer: -468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-63)\/(-28))\/((-3)\/1)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*c + 42*c - 254 - 285 = 1765 for c.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: ((192\/40)\/(-4))\/(262\/(-655))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00062084 rounded to 5 dps?\nAnswer: 0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 180 divide 8265600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from oouoouoooooo. Give prob of sequence ouu.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (-147 - -140) + 21 + (-7 - -17)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 62*b - 31*b = -992. Put 4, b, -1, 1 in decreasing order.\nAnswer: 4, 1, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*c - 3 - 3. Let w(o) = 3*o - 1. Give w(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 93119592 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1369909 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000002192109 rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1978 is divided by 140?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 27710.\nAnswer: 2, 5, 17, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/6 in 0.3, -4, 10?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 73\/378 and (-260)\/(-7488) + 3 + 10\/(-3)?\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2948 divide 2139361597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1475 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: Collect the terms in -9*k + 31*k - 17*k.\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2, 6, 24, 62, 126, 222?\nAnswer: 356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = -3*x + 2. Let i be 1 - -1 - (2 + x). Let c = i + 1. Solve 0 = -c*u + 5*y - 0*y + 24, -5*y = 4*u + 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 14437000 to the nearest integer?\nAnswer: 3800","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 11777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: ((-843)\/(-1967))\/(-3*(-2)\/70)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 5*x**2 + 7. Let i(w) = 20*w**2 - 10*w - 1. Let k(g) = 71*g**2 - 35*g - 2. Let q(f) = -7*i(f) + 2*k(f). Calculate 7*q(n) - 3*u(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1061 or 1059?\nAnswer: 1059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1086002 divided by 7?\nAnswer: 1086002\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) be the third derivative of 11*i**5\/60 - i**4\/2 + 7*i**3\/6 + 7*i**2. Is 27 a factor of f(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -5, 45, 25\/11534?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -38844 + 2c?\nAnswer: -38815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) be the second derivative of -h**7\/42 + h**5\/20 + 8*h. Factor a(b).\nAnswer: -b**3*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 2 - 7)*(-4*x + 0*x + 6*x)*(-3 - 3 + 0).\nAnswer: 24*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is (-490)\/(-3) + 3\/(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -303 + 96. Let f = -78 - d. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 174, 348, 524, 702?\nAnswer: 882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -228.5487 - -218.653. Let h = k - -9.9. Round h to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11932 divided by -4\nAnswer: 2983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -136 + 561 = 194*s + 410 + 403 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 472410 times 59.8?\nAnswer: 28250118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 7*f**2 - 5. Let r(x) = 6*x**2 + x - 4. Suppose 0 = -4*j - 89 + 209. Suppose j*y - 25*y = 20. What is y*o(z) - 5*r(z)?\nAnswer: -2*z**2 - 5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-12)\/9)\/((-7)\/(-21))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 117.2 minus -40?\nAnswer: 157.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v. Let d(n) = -17*n - 2. What is -d(y) - 2*u(y)?\nAnswer: 15*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.033 - 0.103. Let g = -1 + 5. Let t = g - 3.9. Which is the biggest value?  (a) t  (b) k  (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 3*g**2 + g + 1. Let t be 32\/(-18) - 2\/9. What is the tens digit of l(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 241287\/7 or 34469?\nAnswer: 34469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6340, 12794, 19224, 25618, 31964, 38250, 44464?\nAnswer: 50594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6 + -7. Let g = 14549809\/15887515 - 2\/167237. Let y = 6\/19 - g. Sort p, y, 1 in decreasing order.\nAnswer: 1, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6 - (0 - (-3 + 9) - -3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5 * 94.\nAnswer: -470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*o + 3*o = 54. Let g be (2\/3)\/((-12)\/o). Let w(x) = 2*x**2 - 1 - 6*x**2 + x**2 + 4*x**2. Let d(c) = 2*c**3 - 7*c**2 + 6. What is g*d(s) + 6*w(s)?\nAnswer: 2*s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 507539869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -2*m**2 + 3*m - 3*m**2 + 4*m**2. Let o be q(3). Let v(n) = 0 + o + 2*n. Let c(s) = 2*s. Calculate v(c(w)).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -j**2\/2 + 42*j.\nAnswer: -j*(j - 84)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*n - 121 - 159. Calculate the least common multiple of n and 528.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.28 - -14.28. Let o = z - 13.5. Which is the third biggest value?  (a) -1  (b) o  (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-6)\/12 + (-2)\/4. Let q be j - -3 - (4 - 5). Suppose 5*h - q*x + 5*x = 6, -5*h + 4*x = 12. Solve 5*w = -5*z - 20, h*w - 4 = 4*z + w for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 452053 (base 6) to base 7.\nAnswer: 215634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 59.9 + -60. Let r be 30\/8 + 1\/4. Sort 5, u, r in decreasing order.\nAnswer: 5, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2792353801.\nAnswer: 23, 47, 157, 16453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c**3\/9 + 37042*c**2\/3 + 478341920*c\/3 - 3068338429568\/9 = 0 for c.\nAnswer: -28712, 1861","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:25 AM and 9:12 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -32*o**3 + 2*o**2 + 4*o + 2. Determine k(-1).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = a**3 + 2*a**2 - 3*a. Let j be x(2). Calculate the remainder when (-15)\/j*188\/(-6) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1413290403 to the power of 1\/3, to the nearest integer?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -58532735*g**3 - 42855379*g**2 + 1 wrt g?\nAnswer: -351196410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 49, 100, 149, 196, 241, 284, 325?\nAnswer: 364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -61034465.8 rounded to the nearest 100000?\nAnswer: -61000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from abamaaymybb. Give prob of sequence ma.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -33 - 132f?\nAnswer: -1362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -24 + 28. Suppose -23 + 103 = 2*n - g*o, 138 = 4*n + 3*o. Is 18 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in 1\/4, 14\/389, 29, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 83 - 84 + 7*b + 8*b wrt b.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1101100 (base 2) to base 3\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 105 + -82 - (2 - -31) - ((0 - -3) + -50)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51558 + 82062 = 30*y. What is y rounded to the nearest 100?\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -64.1 + 64. What is the second smallest value in 3\/5, -0.4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -8\/105 or 1?\nAnswer: -8\/105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 13186 and 2622.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -r**2 + 28640*r + 3393444.\nAnswer: -(r - 28758)*(r + 118)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4 and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -8*k - 16. Let g be b(-1). Let u = -3 + 1. Calculate the common denominator of -83\/12 and 4\/8 + u\/g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -101\/14 and -5\/174.\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v**5\/5 - 1198*v**4\/5 + 66768*v**3\/5 + 3879184*v**2\/5 - 16279456*v\/5 + 16527264\/5 = 0 for v.\nAnswer: -646, -39, 2, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 7207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5632 is divided by 703.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.27 and 9?\nAnswer: -2.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 + -3 + (-7 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 l when two letters picked without replacement from {y: 5, l: 1, h: 3, b: 1, v: 1}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*p**3 - 4*p**3 + 4*p**3)*(0*p**2 - 5*p**2 + 3*p**2)*(4 + 2 - 5).\nAnswer: 4*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 293554.2 tonnes to grams.\nAnswer: 293554200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 59 + -34. Let j(b) = b**2 - 9*b - 10. Let i = -1 - -11. Let g be j(i). Solve 5 = -x + 3*x - t, g = -4*x - t + s for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 2, n: 1, a: 2, w: 2, e: 1, k: 1}. What is prob of sequence ke?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 12*(-55)\/(-150)*(-2)\/8*5?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Convert -1210101110 (base 4) to base 13.\nAnswer: -114c2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*j + 31899 = -4093. Let b = j - -2327. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) be the second derivative of 4*m**2 - 5\/6*m**3 + 4*m + 0. Find the first derivative of b(s) wrt s.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.4 and -0.14298.\nAnswer: -0.54298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6 - -15. Let z be 2\/9 + (-227)\/o. Let k = z - -50. Is 9 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -v**2 - 2*v + 28536. Let o(x) = 10*x. Calculate o(q(y)).\nAnswer: -10*y**2 - 20*y + 285360","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -21*n**3 + 5*n**2 - 7*n + 2. Is p(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -42 - 12. Let a be (-20)\/6*f\/(-45). Let r be -2 + 6 - (a - -5). Solve 8*i - r*i + 3 = -2*h, 5*i - 1 = -h for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-85)\/(-5)*27936\/(-14841)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -712.69 + 675.003. What is i rounded to 1 decimal place?\nAnswer: -37.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = o**2 + 8*o - 12. Calculate r(-13).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.5  (b) 0  (c) 4  (d) 16\/41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5\/20)\/((-3)\/108).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 210022002200121 (base 3) in base 10?\nAnswer: 11319685","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*b**4*l + 2136705*b**4 - 97*b**2*l + 2*b**2 + 703*b*l - 4*l + 1 wrt b?\nAnswer: 48*b*l + 51280920*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide 476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -3*p**2 + 3*p - 3. Let h(l) = l - 1. Let q(w) = 3*h(w) - j(w). Suppose -8*f + 2*f + 120 = 0. Let z(y) = 265 - 265 + f*y. What is q(z(o))?\nAnswer: 1200*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 60773.23 centimeters?\nAnswer: 607.7323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3679 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 3*a - 92. Calculate s(29).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 4049 minus 1?\nAnswer: 4048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 43 = -1. Let t be (7\/(-4))\/(2\/16). Let b be (-38)\/t + (-6)\/x. Solve 1 = -q + b*j, 17 = 5*q - 5*j + j for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x**3 + 248*x**2 - 260*x - 504 = 0. What is x?\nAnswer: -63, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1.616 + -0.246. Let k = 14 + -14.64. Let n = u + k. Round n to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**25*q**(-30))\/((q*q**(-2\/5))\/((q\/q**(-28))\/q)) assuming q is positive.\nAnswer: q**(112\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 90 - 93. Let g = -0.65 + 0.5. Let d = g - -8.15. Sort -0.1, d, o.\nAnswer: o, -0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3000694789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*x**3 + 160 + 4*x**4 - 10*x**4 - 163 - x**3 in the form z*x + g*x**3 + s + t*x**2 + y*x**4 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(1\/7)*m**1*m*m**(-6)*((m\/(m**(-3)*m*m))\/m)\/m assuming m is positive.\nAnswer: m**(-27\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -n**2 - 3*n + 12. Let r be b(-5). Solve -2 + r = 6*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 875 and 500.\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.4 and -42687755.\nAnswer: 17075102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(3\/2)*y*(y**6*y)\/y)\/(y**(-1\/3)*y)**9 assuming y is positive.\nAnswer: y**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (6\/(-4))\/(15879\/709262)\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -27a220b (base 13) in base 7?\nAnswer: -211420402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -6857  (b) 2  (c) -0.1  (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1 - 6160*q**2 + 2406*q**5 - 6111*q**2 + 12490*q**2 wrt q?\nAnswer: 144360*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 34 + -17. Let h = -13 + x. Which is the second biggest value?  (a) -3  (b) h  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-1760)\/1728*(-2)\/5 and 26\/693.\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3400 + -3400.0000672. Round a to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -6*j + 15. What is the remainder when 51 is divided by i(-2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7449 + 0.0167\nAnswer: 7449.0167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 17*h**2 + 1. Let y be a(-1). Suppose 2*f + f - y = 0. Let j(o) = -o**2 + 8*o + 6. What is the units digit of j(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*l = -6*l + 56. Suppose o - f = 3*f + 5, -o = 4*f + 3. Sort l, o, 5 in decreasing order.\nAnswer: 5, l, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1.8 + 1.57. Let y = 0.01 + n. Let x = y + 5.22. Which is the second smallest value?  (a) x  (b) 1\/4  (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 409*w**2 - 1274*w - 1442. Determine h(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u**4 + 2766*u**3 + 13905*u**2 = 0. What is u?\nAnswer: -5, 0, 927","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seventy-six fifths of a litre?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve o + v + 1 = 0, -4*o - 5*v + 52 = 54 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (5 - 3 - 3)*(0 - 1 - 3)*(2 + 5 - 4)*(-5 - n + 55 - 4) in the form b*n + y and give b.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -14*s + 9*s - 25 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + -20 - (-67 - -54)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 82004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -5027 - 2?\nAnswer: -5029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000001151451 to 7 dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 2*x + 28. Let y be p(-10). What is the second derivative of -y*o - 12*o + 25*o - 4*o + 29*o**5 wrt o?\nAnswer: 580*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45 = -2*c + 2*i - i, -i = 4*c - 75. Suppose c = 6*x - x. What is the units digit of 36\/10 - x\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9*w + 15 - 6 - 10*w)*(-1 + 1 + 5*w).\nAnswer: -5*w**2 + 45*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*p + p - 40 = 0. Let l = p - -10. What is the second derivative of -16*n + 11*n**l - 4*n**2 + 13*n**2 - 5*n**2 wrt n?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 3*d**2 - 3*d - 82. Let f = 12 - -6. What is the remainder when p(-8) is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*z**2 + 6*z**2 + z**2 - z**2.\nAnswer: 15*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -18 - -4?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -17 - -41. Calculate the highest common divisor of v and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (5*sqrt(294)*2)\/(((sqrt(18) + sqrt(72)\/sqrt(4))*-2)\/sqrt(6)).\nAnswer: -35*sqrt(2)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*v\/((v\/v**(-1\/6)*v)\/v))\/v*v)**(-40)\/(v**(1\/14)\/v**10) assuming v is positive.\nAnswer: v**(-983\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*m**3 - 205960*m**2 - 13987940*m - 237696720.\nAnswer: -5*(m + 34)**2*(m + 41124)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 618 divided by 6?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g*g**(1\/8)*g)\/g)\/(g\/(g*g\/g**(2\/5))))\/(g**(-3\/2)*g\/((g*g\/(g*g\/(g*(g**(-8\/3)*g)\/g)))\/g)) assuming g is positive.\nAnswer: g**(-53\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*p = -73*p + 480. Let r(l) be the first derivative of 36 - 15\/2*l**2 - p*l - 5\/3*l**3. Factor r(b).\nAnswer: -5*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -132, 1880, -4, -3, 126.\nAnswer: -132, -4, -3, 126, 1880","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-897)\/5 + 27\/(-45). What is the tens digit of y\/(-18)*(-86)\/(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 321 divided by 253.\nAnswer: 321\/253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*u + 8*s + s - 178, -152 = 5*u + 4*s. Which is the smallest value?  (a) -5  (b) u  (c) 0.2  (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - n - 5 = -0*h, 3*n = 3*h + 15. Let j be -2 + h\/((-1)\/1). Let i(l) = -l**2 - l + 13. Let a be i(j). What is the highest common factor of a and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) be the second derivative of w**6\/120 + 22*w**5\/5 + 10325*w**4\/16 - 44*w**3\/3 - 3872*w**2 - 3*w - 62. What is s in z(s) = 0?\nAnswer: -176, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 184588829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (4 + -2)*(1191\/6 - 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-56)\/(-10) - 4\/(-10). Let z(b) = 33*b + 103. Let u be z(-3). Solve -u*w = -x*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9726*g - 9723*g = 1725027. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 358174 is divided by 243?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 101.6937 - 0.7237. Let i = 101 - o. What is i rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(200) + sqrt(200)*2)*-5)**2 - sqrt(200).\nAnswer: -10*sqrt(2) + 45000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*a**3 + 2*a**3 + a**3 + (-5838*a + 5838*a + 382*a**3)*(-1 + 9 + 1) as v + l*a**3 + s*a**2 + y*a and give l.\nAnswer: 3436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3107 and 4017.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-21)\/(-98)*66\/9 - 3\/(-7). Solve h + s*t = 10, 2*t = 2*h + 5*t - 16 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 9\/466 and 3\/7.\nAnswer: 3262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 57 divide 272744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7706, 7720, 7734, 7748, 7762?\nAnswer: 7776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i**(-10))\/(i*i\/(i\/(i**(-2\/21)*i))*i))\/(i**(1\/23)\/(i**(-1\/6)\/i)) assuming i is positive.\nAnswer: i**(-4223\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (-56)\/(-6) + 150\/(-25)\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d = 3*d - 5*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 12*u**2 + 2432*u - 812.\nAnswer: 4*(u + 203)*(3*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -u**3 - 32*u**2 + 91*u + 791. What is p(-34)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3\/4?  (a) 258  (b) 11\/7  (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y + 31 = 3*s, 16 = 2*s - 5*y - 13 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 2, b: 1, i: 8, q: 2, o: 7}. Give prob of picking 1 i and 1 o.\nAnswer: 28\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let 10*i**3 + 17982*i**2 + 3596*i = 0. Calculate i.\nAnswer: -1798, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - -1 - (137 + 16 - 157).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 796 a factor of 27890376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -31*o**2. Let a(y) = -975914*y**2. What is n(a(b))?\nAnswer: -29524652197276*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -1  (b) 0.01  (c) 44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 48*f - 860. Let z be t(18). Solve 4*m = -2*p - 1 + 25, z*m = -5*p + 36 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -39 divided by 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6 - 5*t + 6)*(-35*t - 743 + 1976 - 780 - 632) in the form i*t**2 + y*t + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -57\/80 and -27\/112.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-30783)\/2)\/((11 - 4)*39\/(-546)).\nAnswer: 3, 31, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 825458.2 tonnes?\nAnswer: 825458200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(121) + ((sqrt(121) - sqrt(121)*2) + sqrt(121))*3))\/(sqrt(539)*-1*-4).\nAnswer: 5*sqrt(11)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5174651*p + 5174594*p - 10349182*p.\nAnswer: 63*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 1905, 7620, 17145, 30480, 47625?\n\"Answer: 1905*i**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.2 or 15531\/9583?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -517*x - 5*t + 39 = -518*x, 2*x + 3*t - 13 = 0. Suppose -5*c = 4*d - 20, -c + 25 = 5*d + c. Sort x, d, 14 in descending order.\nAnswer: 14, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:19 AM and 9:04 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1, -7, -19, -35, -55, -79, -107?\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 19 - 13. Suppose 0 = -0*w + 2*w - j. Differentiate -w + 5*p**2 + p + 2 - p wrt p.\nAnswer: 10*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-i**4 - 3*i**4 + 10*i**4)*(-4 + 4 + 1 - 2 + 5 + 7 + (-4 - 1 + 6)*(1 + 1 + 0)).\nAnswer: 78*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -3*b + 10. Find the second derivative of 9*v**b - 3*v**2 + 6*v**2 + 7*v**2 + 31*v wrt v.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -16 (base 10) to base 13\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 898\/419 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-35)*r**8)\/(r**(3\/11)*r**(-33)) assuming r is positive.\nAnswer: r**(63\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32*u**3 + 8*u**3 + 7*u**3.\nAnswer: -17*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:01 PM and 10:32 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -3 - -13?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*u + 9*u + 28 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-10)\/(-55) + (-38)\/(-33) + 1\/(-3). What is the nearest to l in 0, -0.4, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z + 4*q = 384, -10*z + q + 204 = -8*z. Suppose -c + 65 = 11. Calculate the remainder when z is divided by c.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -l**2 + 10*l + 9. Let z be o(9). Let c = 25 - z. Differentiate 95*x - 95*x + c*x**2 + 4 wrt x.\nAnswer: 14*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 17*y**3 + 11*y**2 + 5*y + 7. Let p(d) = 8*d**3 + 5*d**2 + 2*d + 3. Let n(t) = 7*p(t) - 3*u(t). Calculate the remainder when 22 is divided by n(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -87556.34*-0.11.\nAnswer: 9631.1974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1405 a factor of 934000445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -422728, -422484, -422068, -421474, -420696, -419728, -418564, -417198?\n\"Answer: n**3 + 80*n**2 - 3*n - 422806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1976395655?\nAnswer: 5, 13, 30406087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 12703000 to the nearest 100000.\nAnswer: 12700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -2*d**2 + 71*d - 3. Let o(p) = 22*p**2 - 712*p + 31. Give 21*f(i) + 2*o(i).\nAnswer: 2*i**2 + 67*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-21)\/(-14))\/((-7)\/28*-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 - 3 - (161 + -157) - 97 - -13?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(1 + (sqrt(5) - (sqrt(5) + sqrt(20)\/sqrt(4)))*-6)**2.\nAnswer: -181 - 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the third derivative of v**5\/60 - 11*v**4\/6 - 76*v**3\/3 - 264*v**2. Calculate the lowest common multiple of l(48) and 56.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-21372)\/3288*8\/6*(-6)\/4\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -28 + 26. Suppose i + 13 = 3*d, 5*d + i + 2*i - 31 = 0. Sort b, 3, d in descending order.\nAnswer: d, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*y + 70 = -30 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) be the third derivative of -4\/3*o**3 + 0*o + 1\/3*o**4 + 0 - 6*o**2. What is the hundreds digit of b(16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g - 12 = 4*y - 4, 4*y = -g - 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/54)\/(178\/267).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 20\/(-70) - 19\/7. Let k = 8 + h. Sort 1, k, -1 in increasing order.\nAnswer: -1, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(20)\/(sqrt(4) - (sqrt(100) - sqrt(100)*-1)))**2.\nAnswer: 5\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -95, -334, -717, -1244, -1915, -2730, -3689?\n\"Answer: -72*f**2 - 23*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -280 (base 10) to base 15\nAnswer: -13a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -1046*f - 16745. Let r be b(-16). Let u = -2 + -6. Sort r, u, 3 in ascending order.\nAnswer: r, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*(o\/o**1)\/o)\/o*o\/(o**0\/o)*(o**1)**20*(o\/o**2*o**(-2\/5))\/((o\/(o\/(o\/(((o\/o**(-2\/5)*o)\/o*o)\/o))))\/(o**(1\/2)*o)) assuming o is positive.\nAnswer: o**(43\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 5223 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2863759 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 680 - 679.99429. Round c to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.03, -5, 10, -2, 0.2, 1\/11 in ascending order.\nAnswer: -5, -2, 0.03, 1\/11, 0.2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.16 + -0.06. Let o = w - 0.156. Round o to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 11*d**2 - d - 2. Let n(a) = 4 - 2*a + 8 + 12*a**2 - 15. Let t(r) = 3*j(r) - 2*n(r). Let q be t(-1). Solve 4 = -3*b - q for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h\/h**(2\/27)*h*h**(-8)\/h*h**(-1\/3)*h**(2\/11) assuming h is positive.\nAnswer: h**(-2146\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -1092 divided by -14\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -139\/240 and 65\/47064?\nAnswer: 470640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 569*x. Let v(c) = 10*c**2 - 1. What is v(n(u))?\nAnswer: 3237610*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -3, -2, -1\/42, 3, 1\/4?\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o = -3*j - 12, 111*j + o = 123*j - 33 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 2 = -0. Suppose q*z - 4*z = -40. Is 10 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11102002011200 (base 3) to base 6\nAnswer: -122123113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1608 and 26599.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -69*m = -28*m + 136*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = g + 5*g + 108. Let m = -11 - g. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/(-3) + 4\/(-42). Let a = -7.9 + -0.9. Let m = -9 - a. What is the smallest value in -0.4, d, m?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4532 is divided by 182?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3, -3, -13, -27, -45?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -4*g**2 + 59*g + 173. Let r be y(28). Is r > -1309?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of q + 16*q**5 - 5*q**4 + 49*q**5 - 517*q**2 + 3*q**4 - 22*q**5 + 13*q**5 wrt q?\nAnswer: 3360*q**2 - 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 27\/2 + (-3)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -172725, -172702, -172677, -172656, -172645, -172650?\n\"Answer: -k**3 + 7*k**2 + 9*k - 172740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 60 minutes after 6:16 PM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 52830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 5, d: 2}. What is prob of sequence qq?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(-2 + (sqrt(30) - (sqrt(30) + sqrt(60)\/sqrt(2)))\/sqrt(10)) + 3 + (4 + (sqrt(3) - (4 + sqrt(48))))**2.\nAnswer: 2*sqrt(3) + 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -411*z + 239*z = -218*z - 736 for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 89 + 37b7?\nAnswer: 3840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 b when two letters picked without replacement from {s: 1, b: 3, h: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (16\/(-5))\/(-8) - 78\/(-5). Let d(v) = 9*v + 26 - v - k - 10. Let q(a) = -3*a**2. What is q(d(o))?\nAnswer: -192*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*t + 7007 + 4272 + 16501 = -486*t for t.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2225\/4 - 556. Which is the nearest to 1\/4?  (a) 0.5  (b) 3  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 44075186?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x\/(x*x**18*x)*x\/(x\/x**(-3)*x*x) assuming x is positive.\nAnswer: x**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = -5*f. Solve -5*l + o - 15 = f, 3*l + 31 + 6 = -5*o for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 5, -19, -59, -115, -187, -275, -379?\n\"Answer: -8*k**2 + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 + 0. Let n(h) = h**2 - h + 2. Suppose 0 = -g + 2, -6*g + 2*g + 8 = -2*f. Let x be n(f). What is the nearest to m in -5, -4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 774?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2 + 0. Suppose 6 = b + 4. Solve 0 = -3*w + f - 14, -b*f = 3*w + 1 - c for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.569*-0.055.\nAnswer: -0.031295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ddbbblqbdbldb. Give prob of sequence qlbb.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (3 - -1)\/(-4)*0. Let y(a) be the second derivative of q*a**3 + 1\/12*a**4 - 3\/10*a**5 + 3\/10*a**6 - a + 0*a**2 + 0. What is u in y(u) = 0?\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -a**2 - 2*a + 36. Let l be d(-7). Put l, -97, -4 in decreasing order.\nAnswer: l, -4, -97","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 16*69404\nAnswer: 1110464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*l + 40 + 24. Suppose 0 = 2*q - 0*f - f - 65, -f = 3. Suppose -9 = -5*c + q. Calculate the highest common factor of c and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2 and -0.038.\nAnswer: -0.076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -33616 divided by 4202.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(-2\/69)\/(l\/(l**(17\/4)*l*l)) assuming l is positive.\nAnswer: l**(1441\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -37 divided by 70773\nAnswer: -37\/70773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2\/5  (b) 0  (c) -0.5  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.2 and 3690399.\nAnswer: 738079.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -u**2 - 7*u - u - 5*u - 1 + 19. What is the remainder when w(-11) is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1887 - -4816. What is the hundreds digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -7\/4, 0.3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) be the second derivative of -52*x**3\/3 - x. Let p(d) be the third derivative of d**5\/60 - 13658*d**2. Give g(p(c)).\nAnswer: -104*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -9063054*m**2*z**3 - 16*m**2*z**2 - 10*z**2 - 7 wrt z.\nAnswer: -54378324*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(15)\/(sqrt(33)\/(sqrt(66)\/sqrt(6) + sqrt(11))).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 223 minutes before 2:42 AM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from dkdpkkkpkkknpddnkddd?\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 11 = 3*d, 1 + 1 = -4*d + 3*i. Let l be 1 - (-2)\/d - 1. Let a = -14 - -18. Solve -a*g + 3*s - 35 = 0, s = l*g - 3*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 1343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1\/((-1)\/(-2 + 5)). Let c be (-5)\/30*(-4)\/b. Let t = 41.1 - 41. What is the nearest to 2 in t, -2, c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.09  (b) -1\/5  (c) 1  (d) 18978\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -183128 - -273283. What are the prime factors of h?\nAnswer: 5, 13, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 4  (b) -86\/25  (c) 2\/9  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3535007 is divided by 396.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*a = 4*m + 65, a - 3 + 3 = 2*m + 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -57*j + 198454 = 53*j - 1486526. What are the prime factors of j?\nAnswer: 2, 3, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 80*m - 3. Let c be f(4). Suppose -3*w + 12*a = 9*a - 234, 3*a + 9 = 0. Suppose 4*b - c = w. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = c**3 + 9*c**2 - 19*c - 95. Give y(-9).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 1 q when two letters picked without replacement from {u: 1, h: 1, s: 1, z: 1, q: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that -10*y**3 + 28*y**3 + 6*y**4 + 12*y**3 + 48 + 120*y + 99*y**2 - 3*y**4 = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1046 is divided by 175.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -53 + 47. Let u(q) = 11 - q + q + q. Calculate u(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g + 9*y + 38 = 4*y, 30 = -5*y for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00142048298 to 4 dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 2*t**2 + t - 1. Suppose -2*z - 2*u + 24 = 0, 5*z - 2*u - 50 = 38. Let k = z - 18. Let w be d(k). Solve 3*y + 9 = -w*l - 1, -2*y - 5 = 5*l for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gt when two letters picked without replacement from {v: 7, g: 7, t: 3, w: 3}?\nAnswer: 21\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -26*u**2 - 3*u + 4. Suppose 3*f - 5*w = -29, w - 7 = 4*f + 9. Let g be l(f). Is (23 - 21)*g\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 28 = 2*p - 2*j, 5*j + 20 = 0. Let y(c) = 3*c + 8*c - p*c. Let z(x) = 21*x - 25*x - 9*x - 7*x. Calculate -17*y(l) - 6*z(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) be the first derivative of 99*p**3 + 650*p + 1086. What is the first derivative of y(u) wrt u?\nAnswer: 594*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) be the first derivative of -5*j**3\/3 - 15*j**2\/2 - 59. Solve m(h) = 0 for h.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.037835 rounded to three decimal places?\nAnswer: -1.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -277*r**3*x**2 - 4355*r**3*x - r**2*x**2 + 3*r*x**2 wrt x.\nAnswer: -554*r**3 - 2*r**2 + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1564, -3084, -4604, -6124, -7644?\nAnswer: -9164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 2131, 7067, 14777, 25255, 38495, 54491, 73237, 94727?\n\"Answer: -b**3 + 1393*b**2 + 764*b - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:04 PM and 2:34 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*o**5 - 4*o + 4*o + (3 - 4 - 5)*(0*o**4 + o**5 + 0*o**4) - 3*o**5 - o**5 + 7*o**5.\nAnswer: -5*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1250767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or 247\/1276?\nAnswer: 247\/1276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2.2 + 2. Let t = -0.0913 - 2.9087. Which is the third smallest value?  (a) h  (b) 0.3  (c) -0.4  (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 165 - 64 - 2*d - 53 - 59. What is f(11)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 89*o = 88*o + 7. Solve 31 = -3*c - 5*t, 4*t = o*c - 3*c - 12 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -2*g**2 + 32*g + 228. Determine s(18).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = w**3 - 20*w**2 + 2*w - 38. Calculate m(20).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 19\/4 of a millimeter?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, 35, -6, -1, -14, -4.\nAnswer: -14, -10, -6, -4, -1, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 335203 + 5?\nAnswer: 335212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 339*a**2*u + a**2*z - 5*a*u*z - 2*a*u - 5*a*z + 9*u*z wrt a.\nAnswer: 678*u + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3 + 0\/1 + (-11)\/4. Let m = -3224 - -3221. What is the nearest to -0.1 in 3, -0.5, a, m?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -460*h*p**3*s - 2*h*p**2*s - 90*h*p**2 + 2*h*p - 4*h*s - p**3*s + 1508*p**3 - p**2*s - 19*s wrt p.\nAnswer: -2760*h*s - 6*s + 9048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1457*s**4 - 3*s**3 + 3*s**2 + 91*s - 20987059 wrt s.\nAnswer: -5828*s**3 - 9*s**2 + 6*s + 91","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4 + 56?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0082637 rounded to four dps?\nAnswer: -0.0083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 3701 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 50529 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m**5\/6 + 9697*m**4\/3 + 15633130*m**3 - 1129904215*m**2\/3 + 12351702419*m\/6 + 2450881706 = 0. Calculate m.\nAnswer: -9709, -1, 12, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(-3)*((-1)\/(-6))\/(15\/60)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -22*z + 139. Determine j(5).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 31*c - 1. Give f(1).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = -1 + 13. Let z be 3\/h + 1203\/540. Let r = 16\/9 - z. Is r at most 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44 = 2*h + 4*f, 0 = -5*f + 10 - 25. Let p be h\/6 - (-2)\/(-3). Suppose -p*c + 17 = -7. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 21 + -37.5. Let g = -7.5 + i. Let z = -21 - g. Which is the smallest value?  (a) 4  (b) -6  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-6)\/(-8)*(-4)\/(-6). Which is the third biggest value?  (a) 2  (b) -2  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3637 is divided by 130?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1754499 to the power of 1\/2, to the nearest integer?\nAnswer: 1325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 194 or 777\/4?\nAnswer: 194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 279152 is divided by 86?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -1  (b) -0.3  (c) 2  (d) -7  (e) 2\/8594579\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.134346 decades in millennia?\nAnswer: 0.04134346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -39, 2, 3 in ascending order.\nAnswer: -39, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 4*a**2 - 36*a - 5. Let b(j) = 11*j + 1. Let t(l) = 3*b(l) + z(l). Let x = -3 - -5. Calculate the least common multiple of t(x) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 0*n**2 - 13 - 1 - 3*n + n**2. Let d be x(6). Put 2, 7, d in decreasing order.\nAnswer: 7, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -262442 + 3?\nAnswer: -262438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 29*n**3 + 45*n + 2. Let v(g) = -86*g**3 - 136*g - 7. Let d(a) = -7*p(a) - 2*v(a). Find the second derivative of d(j) wrt j.\nAnswer: -186*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = k + 13. Give z(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + 0 + -5 + (sqrt(450) - (-2*sqrt(450) + sqrt(450)))\/((sqrt(126)\/sqrt(7) + sqrt(18))\/sqrt(2))*-3.\nAnswer: -15*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -17954, -35930, -53904, -71876, -89846, -107814, -125780?\nAnswer: -143744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 112 - 35567?\nAnswer: -35455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 2472, 5, 0, -4, -16.\nAnswer: -16, -4, 0, 3, 5, 2472","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) be the second derivative of -k**5\/20 - k**4\/6 + k**2 + 2*k. Let c be r(-2). Suppose a + 15 = 4*g, c*g - 18 = -2*a + 2. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 4*w + 3*w = -279, 0 = -w + 4. Suppose 4*o + 805 = 5*k - n, -3*k + 648 = -2*o. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 64*p**2 - 29*p + 20. Calculate n(3).\nAnswer: 509","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0  (b) -0.066  (c) -38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 2, o: 5, i: 5}. Give prob of picking 2 o.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 473 and 154?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = y**3 - 13*y**2 - 14*y - 6. Let l be w(14). Suppose 3*v = 4*r - 8, 2*v - 4 = -2*v - 2*r. Put 2, -4, v, l in increasing order.\nAnswer: l, -4, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = v**3 - 2*v**2 - 7*v - 1. Calculate c(5).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (61 + -6)*6 + (-60)\/6. Let x(s) = -10*s + 10. Let l be x(-9). What is the highest common divisor of i and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -90189248 by 3.\nAnswer: -90189248\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -2*f**3 + 7*f**2 + 48*f - 154. Determine m(2).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g = -i - 10, -138*g + 116*g + 74 = -2*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2 - 0. Let h be 1 - (-1 + 2 + -5). Suppose 5*d - 60 = -h*x, -3*x = -6*x + d + 24. Solve 0*n + n + s*j = -x, j + 2 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5 - (2 - (-1 - 0))) + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0001416973 rounded to 6 decimal places?\nAnswer: 0.000142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 49 divide 3234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 50 - -465262?\nAnswer: 465342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 + 0 - 3 - 24*m to the form v + u*m and give u.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -2*y**3 + 5*y**2 + 5*y - 2. Let d be j(3). Suppose -d*g = -0*g - 12. Let f(w) = -40*w**3 - 7 + 41*w**3 + 3*w**2 - g*w + 1. What is f(-4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*y - 86 = 3*y + 3*b, 2*y + 5*b = 56. Calculate the highest common divisor of 115 and y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c = 224*w - 221*w - 63, -5*c = w - 27 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (o - 4*o + 9*o)*(-3 + 0 + 4) + 2 - 7*o - 2 + (1 - 2 + 3)*(-o - 3*o + 3*o) - 2 - o + 2.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(114) + sqrt(114)*-2*-2 + sqrt(114) - sqrt(114))\/(3*sqrt(42)\/sqrt(7)))**2.\nAnswer: 475\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 1 = -15. Suppose -147 = -o - n*t, -423 = -4*o + o - 3*t. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (50\/(-40))\/((-1)\/32) - -3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-42)\/(-10) - 5\/25. Let m(t) be the first derivative of -t**4\/4 + t**3 + 2*t**2 - 2*t - 3509. Give m(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*l + k - 37, -3*l + 32 = 8*k - 3*k. Suppose -2*i = -m - 1, 0*i + 4*m = -3*i + 7. What is the lowest common multiple of (2\/i)\/2 - -2 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -21571080 to the nearest ten thousand.\nAnswer: -21570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (17*x + 20 - 20)*(-2 + 3 - 3 + (-3 - 1 + 2)*(-1 + 1 - 2) + 2 - 2 + 2).\nAnswer: 68*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-10)\/(-3))\/(106\/(-159)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26*x**3 - 42*x**3 - 236*x**3.\nAnswer: -304*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 20174\/25, 8, -4\/7 in decreasing order.\nAnswer: 20174\/25, 8, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*a**3*y**3 - 2770*a**3*y + 10*a**2*y + 1580*a*y**5 wrt y.\nAnswer: -12*a**3*y + 31600*a*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 662 minutes after 5:51 PM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 57\/376904 and 97\/20.\nAnswer: 1884520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 220*q - 446*q + 5*q**3 + 2*q**2 + 219*q to u + r*q + j*q**2 + k*q**3 and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is a959 + 351?\nAnswer: b0aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) be the second derivative of -23*i**6\/720 + i**5\/60 - i**4\/6 + 9*i. Let b(a) be the third derivative of q(a). Does 13 divide b(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + -3 + 5 - 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 10*p + 12. What are the prime factors of l(25)?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + u = -5, 2*u = u. Let d be (-324)\/(-10) + 2\/q. Let p be (d\/10)\/(32\/1200). What is the greatest common factor of p and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) be the third derivative of 0*c - 2\/3*c**4 + 16\/3*c**3 + 0 + 18*c**2 + 1\/30*c**5. Factor w(l).\nAnswer: 2*(l - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -13 (base 6) to base 3\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 53420 > 53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*d - 1976 + 4980 = 32*d + 2044 for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000002234678744 rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 44 + (-7 - (-19 - ((-10 - -3) + 5 - 8)))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000001576 to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 586084 to the power of 1\/3, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 728 and 910?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 18 - -30. Let h = -47 + t. Which is greater: h or -7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) be the third derivative of 3*p**8\/28 + p**4\/12 + p**3 + 8*p**2. What is the second derivative of j(n) wrt n?\nAnswer: 720*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 327, 0, 3, 2, -5 in increasing order.\nAnswer: -5, 0, 2, 3, 327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the first derivative of s**4 + 16*s**3 + 96*s**2 + 256*s + 6. Factor a(l).\nAnswer: 4*(l + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*b = -6*b + 7004. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 60 - 64. Let n be 6004\/30 - j\/(-30). Suppose 0 = s + s - n. Is 28 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*k**2 - 7*k**3 + 8*k**3 + 10*k**4 - 6*k**4.\nAnswer: k**2*(k + 1)*(4*k - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 3 = 5. What is the units digit of (-2107)\/(-14) + t\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 293*a - 295*a + 2527*a**2 - a**4 - 2516*a**2 - a**3 - 3 as f*a**2 + b*a**3 + k*a + l*a**4 + w and give f.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = 3*p - 6*p - 1407, 5*p + 1876 = 4*w. Let o = w - 333. Suppose -5*u = -3*h - 169, -4*u + o = -0*h - 2*h. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:43 PM and 12:57 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 123002 times -581?\nAnswer: -71464162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:52 AM and 5:31 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -12 - 273*z + 9 + 992*z + 814*z to the form y + f*z and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -6719259*v**2 + 750624.\nAnswer: -13438518*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((1 + sqrt(128))*-2)**2 + 3 + (sqrt(450) + sqrt(50) + 3)**2.\nAnswer: 184*sqrt(2) + 1328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*d**3 - 2*d**3 + 3*d**3 + (-3 + 2 + 3)*(-92*d**3 - 170*d**3 - 40*d**3).\nAnswer: -606*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x**(-1))**(-15) assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j**5 + 138*j**4 - 1584*j**3 - 138*j**2 + 1587*j = 0 for j.\nAnswer: -1, 0, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2254 + 2250 - 19*l - 4505.\nAnswer: -19*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*w + 78247 = 19*w - j, -5*j = 5*w - 78265. What is the thousands digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 139\/121362 and 85\/54?\nAnswer: 1092258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of -630*(42\/12 - 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -37328 rounded to the nearest one hundred?\nAnswer: -37300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -1, -2, -117, -3.1, 1\/4, 1?\nAnswer: -117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 878201, 1756415, 2634627, 3512837, 4391045, 5269251, 6147455?\n\"Answer: -n**2 + 878217*n - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 270 and 970?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:30 AM and 10:16 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 48 and 683720.\nAnswer: 4102320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + 3 = -6*l + 2*l, 4*g - 3*l = 10. Let j = -222 + 231. What is the least common multiple of g and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q = -7*q + 36. Suppose 0*m - 5*m = 25, -5*m = -q*d + 37. Solve -d*v + 14 = 2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3\/2 + (-2 - -1). Suppose 5*h = 16 + 9. Suppose -x + 3*x = -w + 6, h*w - 2 = 4*x. What is the third smallest value in 5, a, x?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxqxxxxxxqx. What is prob of picking 1 x and 2 q?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -13973 - -13973.5. What is the nearest to -1 in 2\/5, -3.68, 2, z?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -5530, -5\/13, 107?\nAnswer: -5530","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -p**2 - 12*p + 13. Let k be a(-9). Suppose 64 = 2*q - 4*h, 2*q + h = -3*h + k. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 151 = -5*x + 181. What is the highest common factor of 21 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -64981761*h + 64981714*h + 3948 = 0 for h.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -12446 or -12440?\nAnswer: -12446","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 3 times 102268272\nAnswer: 306804816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - y = -2. Let f(z) = 3. Let b(v) = -2. Let k(q) = 4*b(q) + 3*f(q). Let i(s) = -6*s - 247. Let x be i(-41). Let g(r) = -r. Calculate x*g(d) + y*k(d).\nAnswer: d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/(((k**(-8)\/k*k)\/k*k)\/k))\/k*k*k**(-24)*k)**(5\/6) assuming k is positive.\nAnswer: k**(-65\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -21*t**2 - 657*t + 20. Give x(-31).\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 189 in 1, 74, -1?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -209, -230, -253, -278, -305?\nAnswer: -334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-152)\/190)\/(1\/3 - 1).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 439, 1, -26, 0 in ascending order.\nAnswer: -26, 0, 1, 439","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = -2 + 22. Suppose m = -m - f*s - 3, -6 = 2*s. Calculate the lowest common multiple of 9 and ((-9)\/(-2))\/(m\/12).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 3*d**2 + 3*d + 3. Let t be c(6). Suppose 5*v - v + 4*f - 164 = 0, 3*v - t = -f. List the prime factors of v.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 411114, 411112, 411110, 411108, 411106, 411104?\n\"Answer: -2*k + 411116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -77 + 2?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 3, e: 2}. What is prob of picking 2 e and 2 y?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 375906 (base 11) to base 14.\nAnswer: 116370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -c**3 - 2*c - 4. Let s be o(-2). Let x(d) = d**2 - 5*d - 20. Let b be x(s). Solve -5*p - b = -9 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0 - -3. Suppose 2*h + 5*p = 20, z*h = -h - 3*p + 40. Let v be (8\/h)\/((-22)\/(-55)). Solve v*m + 4 = -2*m, -5*d - 5*m + 5 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fzfwfdffzsfd. What is prob of sequence dwz?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 4 - 1)*(-2*j + j - j) + (-3*j + 0*j + 4*j)*(2 - 2 + 2) + j + 5 - 5 + 22*j + 42 - 42 + (2 + 0 - 4)*(2*j - 3*j + 0*j).\nAnswer: 25*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = f + 4*f - 25. Let s = 0.27 - 0.87. Which is the second smallest value?  (a) s  (b) f  (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 5*h + 14 = 4*g, -3*g + 4 = 5*h. Put 20, g, 4, 0.5 in increasing order.\nAnswer: 0.5, g, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 277 is divided by 70.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (z**3 - 3*z**3 + 0*z**3)*(-3*z + 0*z + z)*(-14*z + 6*z - 14*z).\nAnswer: -88*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-6 + 5 - 8)*(-5*z + 0*z + 4*z) + (-2*z - 2*z + 6*z)*(1 + 0 + 1))*(-2 + 2 - 2*z) in the form h*z + x + y*z**2 and give y.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 237570.\nAnswer: 2, 3, 5, 7919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*b + 3 + 39 = 0. Let s(y) = -y**3 - 3*y**2 + 4*y - 1. Let r(x) = -2*x**3 - 4*x**2 + 7*x - 3. Let m(a) = -3*r(a) + 5*s(a). Determine m(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-24)\/(-18)*-1)\/((-2)\/6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*i + 195 = -119 - 544 for i.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 3\/2 + 84\/(-112)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-22)\/176*1\/7*1*-12?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -20615 - -20615. Sort -164, a, -7, 3, 2 in decreasing order.\nAnswer: 3, 2, a, -7, -164","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/11 + 290\/22. Let p(w) = -3*w**2 - 13 + n. Let k(q) = -q. What is k(p(o))?\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-17)\/136*-2*6\/2.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 48\/84 + (-1156)\/14. Let t = q - -84. Suppose -5*l + 2*o = -64006, -t*l + o = 3*o - 25594. Round l to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -301 + 25 = 77*p + 32 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8, 129, 464, 1121, 2208, 3833, 6104?\nAnswer: 9129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -949*x + 1064*x**2 + 3 + 2156*x - 1207*x to the form q + l*x + y*x**2 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*4*(-4 + sqrt(5) + 4).\nAnswer: 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:07 PM and 6:22 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2017517 is divided by 672502.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -q**2 + 28*q + 80. What is z(31)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6926758.\nAnswer: 2, 367, 9437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 - 4 = -2*y. Sort y, -2, -1, 0 in ascending order.\nAnswer: y, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 1, w: 2, i: 1, e: 1, c: 2, p: 1}. What is prob of sequence cicq?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Total of 910470 and -8202294.\nAnswer: -7291824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -161*r + 167*r + 145 - 37 = 0 for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 149, 349, 553, 761?\n\"Answer: 2*s**2 + 194*s - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.049, 0.4, 277\/4, -3\/28.\nAnswer: -3\/28, 0.049, 0.4, 277\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 87141 + -43773. Is 12 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(1 + sqrt(175))*-1)**2.\nAnswer: 40*sqrt(7) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = s**2 - 1226*s - 92092. Determine l(-71).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2137268 rounded to the nearest 10000?\nAnswer: 2140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4462023?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 220*s**4 + 11 - 134*s**4 - 12 - 852*s**4 - 7*s**3 + 8*s**3 to k + c*s + z*s**3 + x*s**4 + o*s**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -262, 9, -1, -4 in increasing order.\nAnswer: -262, -4, -2, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3119985*v**3 + 193831*v + 6 wrt v?\nAnswer: 18719910*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 > 1\/4107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 331 and 5040137?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n, 1 x, 1 b, and 1 h when four letters picked without replacement from nqexqhb.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 3*w - 9 = 0, 0 = -y + 3*w - 22 + 10. Solve 3*z + 3*b + 2*b = 12, z + y*b - 8 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -262*(4\/18 - (-52)\/(-72)). Suppose -8*i + 29 = -b. Suppose y = -2*y + v + 2717, 5*v - i = 0. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 304, 659, 1074, 1549?\n\"Answer: 30*q**2 + 265*q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -9.0406 + 0.0406. Let l = -0.2 + -0.8. Let d = 0 - 5. Which is the nearest to f?  (a) d  (b) -3\/7  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5951fc (base 16) to base 3\nAnswer: -102000101202102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*c - 5*h + 60, -c - 4*c + 3*h + 60 = 0. Suppose -2*q - 3*q = 5*m - 15, 4*m - 2*q + c = 0. Is 24 a factor of 2*(-306)\/(-12) - (-3 - m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 33 and 243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -40 + 139. Let x = z - 141\/2. Is x at least as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 137098 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56*y = -41*y + 20222 + 75711. What is the highest common factor of y and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = s**3 + 8*s**2 - s - 5. Let k be w(-8). Suppose 4*p - 4 - 4 = 5*c, 5*c + 29 = -k*p. What is the remainder when p\/(-1) - (-101 - 6) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f**2 - 1717*f + 3438 = 0. Calculate f.\nAnswer: -1719, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5.415 + 270.\nAnswer: 275.415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.4 and -7399402?\nAnswer: 7399402.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 420882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2.191 - -0.191. What is the second smallest value in 4, -1\/30, 2, i?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 713 + 701 - 5322*h**2 - 2108 + 694.\nAnswer: -5322*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3794*b**5 + 519*b - 4 wrt b?\nAnswer: 75880*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (-39)\/(-429)*(-1 - 1)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in -0.05, 0.02, 0.3, 5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 974310 divided by 5?\nAnswer: 194862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2a13 (base 12) to base 5.\nAnswer: -124121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.4  (b) 1\/3732  (c) 2\/7  (d) 0.3  (e) 3  (f) -0.02  (g) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 146\/(-10) - (-2)\/(-5). What are the prime factors of 15\/25 + (1 - 1881\/f)?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 61\/2214 and 5\/24.\nAnswer: 8856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 97 - 57. Suppose -2*k + 173 + 141 = 0. What is the remainder when k is divided by w?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -5*f**3 - 3*f**2 - 2*f - 2. Let g be l(-2). Let c be 4\/g + 44\/495. Suppose c*n**2 + 4\/9*n + 0 = 0. Calculate n.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 137779 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) be the first derivative of 1\/2*k**4 + 4 - 1\/3*k**3 + 2*k - k**2. What is the lowest common multiple of 6 and c(2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3615 = -5*j - 5*c, -6 = -2*c - 0*c. Round j to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2*3066\/(-14)*106\/(-636)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -512 (base 8) to base 9.\nAnswer: -406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/(-22))\/((-2)\/(-8))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -77\/15270 and 31\/130?\nAnswer: 198510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*s**5 + 5*s**5 + 0*s**5)*(6 + 94 + 21)*(13 + 13 + 8).\nAnswer: 4114*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 - (-5 + -18 + 9) - (-1 - 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/b**(1\/5)*b*b**(4\/7)\/b)\/(b*b**1*b*b*b*(b*b**(-1)*b*b)\/b*b*b*b)*b\/(b*b*b**4*b*b*b*b)*b**(-2\/7)*b\/b**(1\/2)*(b\/b**(-3)*b)\/b assuming b is positive.\nAnswer: b**(-869\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 3*o**2 + o + 4. Determine z(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + 2 + -2 + sqrt(11) - (sqrt(99)*-1 + sqrt(99) + (sqrt(44)*1 + sqrt(44))\/sqrt(4))**2.\nAnswer: -42 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1906 is divided by 1878?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 60984377707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 38 - 40. Find the common denominator of 83\/6 and (27\/(-4) + 1)*i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -231*o - 10164. Determine k(-44).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-11228)\/(-31278) + (-7)\/(637\/(-28)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -p - 17*p**3 + p + (0*p + 0*p - 7*p)*(31*p + 22*p - 54*p - 4*p**2).\nAnswer: 11*p**3 + 7*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -992*b + 21 = -991*b - 3*z, -z + 3 = 3*b. Solve -29*a + 24*a - 12 = 3*l, b*l + 12 = 3*a for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -8623\/6 - -1450. Let k = -30931\/13819 + 8\/1063. Let w = -719\/130 - k. Find the common denominator of v and w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -37 - -39.8. Let k = 4.7 - v. Let j = k + -2.1. Which is the third biggest value?  (a) -3\/2  (b) j  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 59402 - 33683. Is 120 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2222 (base 3) in base 15?\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 35, -17, 7.\nAnswer: -17, 7, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.3*-2.9.\nAnswer: 0.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 10*h + 430. Determine b(-44).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 3*t**3 + 2*t**2 + 2*t + 1. Let c be p(-1). Let y be (16\/(-40))\/(c\/50). Calculate the greatest common factor of 20 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by 1118?\nAnswer: -5\/1118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-334 - (-201 + -6)) + 3 + -1 + 0?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -28, -95, -252, -535, -980, -1623?\nAnswer: -2500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1\/7 or 75.1?\nAnswer: 75.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 31\/14164096?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 7072067 - 7?\nAnswer: 7072060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -24 (base 13) to base 9.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.36 times 16.9?\nAnswer: 6.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 8151534 to the power of 1\/2, to the nearest integer?\nAnswer: 2855","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 3*w - 9. Suppose -7*m = -5*m - 18. Let a be n(m). Calculate the highest common divisor of a and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 11*k**2. Let c(r) be the third derivative of -r**5\/15 - 4*r**2. What is j(c(o))?\nAnswer: 176*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -n**2 + 1. Let s(g) = -9*g**2 - 10*g + 3. Let a(l) = 9*l**2 + 13*l - 2. Let j(p) = 3*a(p) + 4*s(p). What is -6*f(o) + j(o)?\nAnswer: -3*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + 40 = -2*m, -5*b - 4*m - 67 = 3. Let f = b - -16. What is the tens digit of 1\/2*f - -29?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 2483415.45 nanoseconds?\nAnswer: 0.000000028743234375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + 1 - (-6 - (-13 + -1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 6*k**2 - 9*k - 621. Let o be t(12). What is the greatest common factor of o and 1323?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-32)\/(-12) - ((-8)\/6 + 2). Let r be 290\/3*3\/u. Suppose r = 4*a - 2*d + 15, d + 127 = 4*a. What is the remainder when a is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -30256 or -30262?\nAnswer: -30256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 9, z: 3, f: 4}. Give prob of sequence ddd.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 3 y when four letters picked without replacement from {r: 3, x: 1, n: 2, m: 8, y: 5, f: 1}.\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 0 + 1\/(-4)*0. Suppose b*a = -a + 124. What are the prime factors of a?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19715.\nAnswer: 5, 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v + 12 = -0*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*j - i + 6*i - 26, -j = -5*i - 2. Let b(z) = 5*z - 6*z + j*z + 3*z. Determine b(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.56 + 0.62. Let i = 2.1 + -4.1. Let k = 10 + -6. What is the closest to -2\/3 in i, k, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t = j - 2 - 3, 3*j - 15 = -5*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 1 + (-3 - (2 + 2 + 3))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*f**2 - 2*f**2 + 6*f**2)*(f - 5*f + 2*f) + 51*f**3 + 792*f**3 + 514*f**3.\nAnswer: 1355*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -113, -229, -345, -461?\nAnswer: -577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -277 = 2*m + 635. Let d = 14593\/32 + m. What is the common denominator of d and 83\/12?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 2*d - 9 = 0, 3*d + 9 + 9 = -3*k. Is 203\/3 + (-4)\/k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 5*w - 1. Let d be s(1). Suppose m = d*r + 4, -r - 16 = -4*m + r. Let h = 1025 + -1025. Solve -17 = -2*l - 4*u + 1, h = m*l - u for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 13\/217831 and -11\/122.\nAnswer: 435662","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-17)\/(-3))\/((-12)\/(-36)). Let v = 4 + 1. Let h = i - v. What is the greatest common factor of 18 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*t - 14*t + 30 = 0. Is -4 + t + 0 + 85 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2\/(-5) + 60\/25 + 0. Solve 0 = 4*p - m*p - 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2695 rounded to two decimal places?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o**3 - 140*o**2 - 1568*o = 0 for o.\nAnswer: -56, -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -7785831.3 rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/n**19)\/((n*n**(-2\/39)*n)\/n))\/(((n\/n**(-37))\/n)\/(((n\/(((n**(-22\/7)*n)\/n)\/n))\/n)\/n)) assuming n is positive.\nAnswer: n**(-14416\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-116)\/(-9367) - (-2)\/19.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (sqrt(245) - 2*(-4 + sqrt(245)))**2 - (sqrt(25)\/((-4*sqrt(20))\/sqrt(4)) + -5).\nAnswer: -447*sqrt(5)\/4 + 309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 30599, 29379, 28159?\n\"Answer: -1220*j + 31819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 643 minutes before 1:49 AM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (6\/10)\/(21\/105). Suppose 0 = -2*i + h + 1. Is (-2 - -13)*(9 - i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-10\/13)*l**(2\/15))\/((l*l**16*l*l*l)\/(l*l**(-1\/23)*l)) assuming l is positive.\nAnswer: l**(-83777\/4485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*w = -2*j - 11*w + 20, -8 = 4*j - 2*w. Solve 5*n + 17 = f, j - 8 = -4*f for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 105125 and 125.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -7 - (4 - -87 - (-11 - (6 + -25)))\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1953*i + 1963*i - 5904*i + 1965*i.\nAnswer: -23*i","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Put together 18.9901 and -2.91634483.\nAnswer: 16.07375517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 7*j - 51. Let i be l(10). Suppose 0 = 2*y + 3*c - i, 2*y = -y - 3*c + 30. Calculate the remainder when 85 is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 15 + -5. Suppose 7 - x = l. Is -3 equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is g in -81*g**3 + 43*g**4 - 24*g - 2*g**5 - 5*g**5 + 75*g**2 + 4*g**5 - 10*g**4 = 0?\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*q - 5*t + 20, t = 4*q - 8*q + 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 10*d + 100. Let y(u) = 11*u + 99. Let o(g) = -3*c(g) + 2*y(g). Does 3 divide o(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-36)\/(-14 - -12) - 18. Let j be (-7)\/2*(4 - 2). Let v = -3 - j. Solve n = o, 12 = v*m - 2*n - 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-8)\/(-24)*-3)\/(7\/(-21)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -2*t**3 - 196*t**2 + 613*t + 253. What is x(-101)?\nAnswer: -454","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-5 - -1)\/(108\/(-2214)). Suppose k + 224 = 4*k - 5*h, -2*h = -4. Suppose -p + l = -k. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 2*v**2 + 12*v - 39. What is the tens digit of t(-13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4 - (2 + -2)\/(-1). Let a(y) be the first derivative of y**3\/3 - 3*y**2 - 6*y - 2. Let p be a(7). Solve -g = -3*u - p for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 760 or 266069\/350?\nAnswer: 760","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -1 + 8*l**2 - l**2 + 1. Let g(x) = x. Let d(n) = 24*n - 10*n - 8*n. Let s(a) = -2*d(a) + 11*g(a). Determine s(q(f)).\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-2*sqrt(144) - sqrt(144) - sqrt(144))\/sqrt(6))\/(sqrt(128)*3))**2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 97\/762 and 43\/903510.\nAnswer: 114745770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in s + s - 2*s + 1232*s**2.\nAnswer: 1232*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -256, -25, -5, 3, 17 in decreasing order.\nAnswer: 17, 3, -5, -25, -256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -101 - -305\/3. Sort 16, -3\/7, d, -0.5 in descending order.\nAnswer: 16, d, -3\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-9)\/(-72))\/(2\/4)*12\/15?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -6  (b) 84  (c) 18\/1243  (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*o = 3*o - 3*a - 23, 2*o - 4*a + 28 = 0. Calculate the common denominator of (-154)\/o*8\/32 and -99\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 4*l - 58 = 0, 0 = -k + 5*l - 2*l + 33. Is 17994\/8 - k\/84 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1532 a factor of 1276175322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) be the third derivative of -7*c**6\/450 + c**5\/150 + c**4\/20 + 2*c**3\/45 - c**2. Find s, given that o(s) = 0.\nAnswer: -1\/2, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3935*h + 0*h**2 + 3*h**2 + 11 - 2 + 3939*h to b*h + w + d*h**2 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -k**2 - 22*k + 38. Suppose -86 - 144 = 10*t. Let w be i(t). Let l = -14 + w. Solve 6 - l = 5*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1231864 and 33368?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 486, 297, 82, -159?\nAnswer: -426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-36 - -31 - (0 + -1)) + 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 616866?\nAnswer: 2, 3, 102811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -8*r - 1. Let d be w(-1). Let o be -26*1\/((-2)\/d). Let m = 60 + o. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 13*b + 13315. Let i = -703 - b. What are the prime factors of i?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 172270 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = m**3 - m**2 - m + 22. Let h = -1 - -2. Let l be h\/(-2) + 4\/8. Is f(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -23*z**2 + 199*z + 31. Let y(c) = -14*c**2 + 100*c + 16. Let w(o) = -3*s(o) + 5*y(o). What is the thousands digit of w(-30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -676 + 675.5. What is the closest to 1\/4 in 0.07, u, 43?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8 - 10) + (-10)\/33*-6.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 18, -3203549, 1 in increasing order.\nAnswer: -3203549, 1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10132b (base 13) to base 8.\nAnswer: -1332422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -104*x + 1190. Give n(17).\nAnswer: -578","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 152460, 152462, 152464, 152466, 152468?\n\"Answer: 2*l + 152458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*p = -20*p + 3*q - 12, -5*p - 25 = -5*q for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 54594401 and 14121.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) -5  (b) 6  (c) 0.038  (d) 211\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 406405 divided by -81281.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 32 + -28. Suppose 7*g - 27 = i*g. Let x be (126\/4)\/g*2. Solve 9 + x = -4*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -111 = -0*y - 5*y - j, 4*y - j - 96 = 0. Calculate the remainder when y is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -350 + -121. Let t = a - -466. Sort 4, t, -3\/7, -2 in descending order.\nAnswer: 4, -3\/7, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 68 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 600*y - 1259 - 384 = 9157 for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 81.914 + -82. Let c = w + -0.001. Round c to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 52875 times -7?\nAnswer: -370125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 141 divide 434421?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1854360 a multiple of 1717?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 13*j**2 - 26*j**2 + 8*j**2 - 2*j to the form t*j**2 + x + g*j and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 91015952 to the power of 1\/2, to the nearest integer?\nAnswer: 9540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 30880217?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 56 divide 12761336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 178 + -122. What is the remainder when y is divided by 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -644030 (base 9) to base 13.\nAnswer: -105717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z - 15*w + 3 - 24 = 0, -5 = 5*w for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3\/11633 + -359759\/3350304. What is the common denominator of f and -31\/64?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 106 + 2 = 0. Does 12 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 250 minutes after 3:36 AM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -27*i + 22*i - 3*j + 90, -40 = -2*i - 2*j. Solve y + 9 - i = 0 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -3*w**2 - w - 1. Let m(g) = -41*g - 1063. Let k be m(-26). Determine d(k).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -182429600 rounded to the nearest 100000?\nAnswer: -182400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.6568 and -54.\nAnswer: -53.3432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -r. Suppose -8*l + 31 = 3*v - 3*l, -14 = 3*v - 4*l. Let q(u) = -11*u**2 - 5*u**2 + 19*u**v - 14*u**2. What is q(g(k))?\nAnswer: -11*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2*(-1)\/7)\/(8\/56).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = -2*u - 5*r, -61 + 20 = -5*u - 3*r. Suppose 4*q = u + 1. Solve q = -f + 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.4*-2402\nAnswer: -960.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:52 AM and 3:55 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 7*l - 6. Let k(s) = -15*s + 13. Let t(b) = -6*k(b) - 13*u(b). Let x(p) = 0*p**2 - 8*p**2 - 4*p**2 + 2*p**2. Determine t(x(o)).\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -bb7c6 (base 15) in base 4?\nAnswer: -2101130301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -6*c - 64. Let u = -318 - -304. Let w be x(u). Solve -15 = -w*a + 15*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -13 - -31. What is the highest common factor of 36 and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -d**3 - 7*d**2 + 19*d + 8. Let u(v) = -2*v + 11. Let k be u(10). Let r be j(k). Which is bigger: -8\/9 or r?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 1 f when two letters picked without replacement from {f: 4, w: 6, z: 1, b: 3}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) be the third derivative of 0*k**4 + 0*k**6 + 0*k + 0*k**5 - 5 + 68\/105*k**7 - 7*k**2 + 29\/2*k**3. What is the derivative of q(f) wrt f?\nAnswer: 544*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -19018, -19006, -18994, -18982, -18970, -18958?\nAnswer: -18946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 16*o + 38. Let y be w(12). Suppose -y + 65 = -3*r. List the prime factors of r.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (13*o + 10 - 10)*(-o + o + 2*o) - o**2 - 5 + 5 - 2*o**2 + 4*o**2 - 4*o**2 + (3 - 3 + o**2)*(-1 - 1 + 0).\nAnswer: 21*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1097 + 1083. Which is greater: h or -25?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 5 = -230. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 17.587304646845 and -3?\nAnswer: 20.587304646845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1154421003.\nAnswer: 3, 47, 307, 26669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -h + 2. Let o be j(4). Let k = o - -3. Suppose -2*x - k = 3. Let p(q) = -q**3 - q**2 + 3*q + 2. Determine p(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -129\/140 and 76\/45.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2880*c + 8514*c - 6303 + 974*c with respect to c.\nAnswer: 6608","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 4 + 1)*(c + 5*c - 4*c)*((-c + 2*c + 3*c)*(2*c**2 + 3*c**2 - 3*c**2) - 5*c**3 + 2*c**3 + 0*c**3).\nAnswer: -50*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 6\/5 of a millennium?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-46)\/(-10) + (-4)\/(-10). Suppose h*i + 7 = -8. Suppose -7*o + 19 = -9. Put 1, o, i in descending order.\nAnswer: o, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1252704?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 71 and 10083781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + x - 22 = 5*x, 5*m - 4*x = 31. Suppose -m*h + 78 + 39 = 0. List the prime factors of h.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3265?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.0603 + 0.1203. What is the fourth biggest value in 0, g, 11, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -422909 or -422925?\nAnswer: -422909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 241 + -240.9. What is the nearest to -0.12 in 5, f, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m = 5*y + 3*m - 294, 2*m - 2 = 0. Let f = y - 19. Calculate the highest common factor of 60 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -51069\/4 + 12563. Let n = i + 202. Find the common denominator of (5\/(-10) + 0)\/((-20)\/214) and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = s**2 - s - 2. Let k be w(2). Suppose -2*p = -z + 13, -2*z + k*p + 20 = 2*p. Is 5 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = i + 27. Let y be 4*2\/8*-25. Let v be l(y). Factor -8\/3*n - 4\/3*n**3 - 4*n**v + 0.\nAnswer: -4*n*(n + 1)*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4154, -8251, -12280, -16235, -20110, -23899, -27596?\nAnswer: -31195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 27 divided by 26122\nAnswer: 27\/26122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -76 - -4 - (80 + -91).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 8831149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = g**2 - 33*g - 60. Let y(q) = -15*q - 30. Let h(m) = 3*l(m) - 5*y(m). What is the hundreds digit of h(20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3 + 1. Suppose -f*o = -5*a - 85, -3*o + 47 = -o - a. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2\/(-8) + (-19)\/4. Let s = p - -7. Suppose -5*j + w = -14, j + 2 = 4*w + 20. Solve -3*v = s*i - 21, -i - 2*v = j*i - 19 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b = 6 - 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -263*m**2*y**3 + 2*m**2 + 11*m - 146152*y**3 wrt m.\nAnswer: -526*m*y**3 + 4*m + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4 + -14. Let k = -13 - x. Sort 3, -3, k in ascending order.\nAnswer: -3, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -59475*j + 59490*j - 88590. What are the prime factors of j?\nAnswer: 2, 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/(-72))\/(1*1\/2)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**0*z)**(-40)\/(z**(2\/5))**2 assuming z is positive.\nAnswer: z**(-204\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - l - 2 = -3, -3*c + 3 = -l. Suppose -c*v = -10, -3*y - 3*v + 0*v + 15 = 0. Solve 3*o + o + 8 = y for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((-5 + 1 + sqrt(147) - (-2 + sqrt(147)*-1)) + 2*sqrt(147)*-4*6)**2*3.\nAnswer: 23184*sqrt(3) + 5599008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(-2*sqrt(252) + -3 + 5) + -3 + 2)**2*-4.\nAnswer: -4036 + 96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1743 by 4.\nAnswer: 1743\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -17*(-32)\/6256*1.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -20.584441271 and 6541?\nAnswer: 6561.584441271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/3?  (a) 0.1  (b) 5  (c) 1.201\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - 68 = -4*f + c, 2*f - 3*c = 30. Calculate the highest common divisor of f and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 2, b: 1, p: 3, g: 1, f: 3, a: 7}. Give prob of picking 2 p and 1 g.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -12.17071 rounded to 0 decimal places?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 657154, 657152, 657148, 657142?\n\"Answer: -l**2 + l + 657154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) be the third derivative of 0*m + 2\/15*m**5 + 0 + 0*m**3 + 0*m**6 + 1\/210*m**7 - 8*m**2 + 0*m**4. Find the third derivative of l(p) wrt p.\nAnswer: 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2359870 to the nearest 10000.\nAnswer: -2360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -3.239661 to 3 decimal places.\nAnswer: -3.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 51\/(15147\/(-330))*(-3)\/(-35).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*p**2 + 0*p**2 - 3*p**2 + (-3*p**2 + 5*p**2 + 0*p**2)*(0 + 2 + 0) + p**2 + p**2 + 0*p**2 + (0 + 0 - p)*(3*p - 2*p - 3*p).\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -25\/776 and -57\/776.\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 5*q + 189. Let k be h(-35). Solve 6 = k*r - 16*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/397  (b) -1\/4  (c) 4  (d) -459\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 268*a - 18221. Let h be l(68). Factor -32*b - 13*b**2 - 16 - 3\/2*b**h.\nAnswer: -(b + 4)**2*(3*b + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*u + 62 = -28*g + 26*g, 0 = -2*u - 4*g + 2 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 26.99548 to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*x - 2 = -t, 5*t + 4786 = -x + 4748 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = s + s. Solve 3*m - s = 3*j + j, 2*m - 8 = 4*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 49\/15216 and 109\/72?\nAnswer: 45648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1258265.\nAnswer: 5, 251653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14855017*f + 14855048*f + 3 + 1 - 4 - 29710109*f.\nAnswer: -44*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -102002 + 1122?\nAnswer: -100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1075 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/13?  (a) -3  (b) 160  (c) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -42 - 30 - 13*l + 6*l + 14.\nAnswer: -7*l - 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -4*b**3 + 3*b**2 - b + 6. What is the hundreds digit of d(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-11)\/(-22))\/(2\/12). Let i be -3 - (-3 + n) - -3. What is the second derivative of 3*q**5 + 8*q - 9*q**5 + i*q - 3*q wrt q?\nAnswer: -120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 4  (b) 20  (c) 0.2  (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -90 + 89.955. Let p = d - 0.055. Let g = -1.3 - -0.2. Which is the third biggest value?  (a) p  (b) 1  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 462*((-69)\/(-2))\/23. Suppose 3*w = 2*w + 63. Calculate the highest common factor of w and d.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 3*d*m**4 + 46*d + 120*m**2 wrt m?\nAnswer: 12*d*m**3 + 240*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13 + ((-1 - 9) + 3 - -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 15*x**2 + 58 - 13*x**2 + 66 as j*x**2 + i*x + r and give r.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 5*o + 54. Let a be x(-9). Solve -4*t + 5*j + 0*j - 35 = 0, a = -3*t - 2*j for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 21 = -2*q + 15, 3*h - 6 = 0. Suppose u - 5*u - q = -y, 59 = 4*y + 5*u. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -4 - 12*u + 16*u - 40*u - 54*u. List the prime factors of r(-1).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-32)\/(-10)*(126\/4 - 4) is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 224 divide 7840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (6\/(-15))\/(5\/125). Let i(o) = -o**2 - 10*o + 6. Let p be i(z). Suppose -32 - 28 = -p*y. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3.5 - -0.5. Let r(v) = -85*v + 2. Let q be r(2). Let w = q + 1179\/7. Which is the second smallest value?  (a) h  (b) w  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lm when two letters picked without replacement from nnmnmnlnnlmnllknnn.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -f**3 + 226*f**2 - 809. Calculate h(226).\nAnswer: -809","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 165 minutes before 12:23 AM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -l + 17. Let i(p) = 3*p + 7. Let m be i(3). Let x be j(m). List the prime factors of x - (-269 - 1)\/3.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 - 3*z**2 + 13*z + 4*z**3 - 12*z**3 + z + 16*z + 30*z to the form i + r*z + l*z**2 + h*z**3 and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 37 + 80. Suppose -h = -2*v - 95. What is the remainder when 54 is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o = -8*o - 15 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -34 + 50. Let o(g) = -l*g - 1 + 4 - 2. Let k be ((-2)\/(-10))\/(3 - (-1376)\/(-480)) - 6\/12. Determine o(k).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2028*x + 438*x + 1504*x.\nAnswer: -86*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 6, -5, -34, 3.\nAnswer: -34, -5, 2, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) be the third derivative of -u**5\/20 - 59*u**4\/2 - 6962*u**3 + u**2 - 12. Factor n(v).\nAnswer: -3*(v + 118)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 2 = q, -4*q - 9 + 4 = 5*r. Let o be 6\/21 - 18\/14. Let l = 1 + o. Solve 2*m + r*m + 20 = l for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve c = -3*n - 17, -c + 20 - 2 = -4*n for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*k + 228 = 10*k. Is (-2*k\/(-32))\/(-3)*12 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 28.069 + -29.41. Round a to 2 dps.\nAnswer: -1.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y**5\/7 - 1266*y**4\/7 - 190182*y**3\/7 - 11596068*y**2\/7 - 214319439*y\/7 + 476564958\/7 = 0. Calculate y.\nAnswer: -129, -37, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 35238544\/(-10) - (-2)\/5. Let z be 1823852 - -2 - (0 + -4 + 4). Let c = g + z. Round c to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 2*u + 12. Let a(q) = 1. Let m = 28 - 30. Let f(p) = m*b(p) + 18*a(p). Suppose 0 = 16*d + 87 - 23. Give f(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by 27623347.\nAnswer: -5\/27623347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 127607177149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4377 = -21*b + 1755. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.05 in 2\/9, 5, -5, -1.2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 31929 and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*k + s - 15, 4 = k + 5*s + 5 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*o - 63 + 2*o**2 - 4*o**3 + o**3 + 92 in the form u*o + r*o**3 + v + n*o**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) be the second derivative of -1\/6*m**4 - 5\/3*m**3 - 3*m**2 + 1\/10*m**5 + 0 + 5*m. Suppose z(l) = 0. What is l?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*r**5 + 3*r**5 - r**5 - 15*r**5 + r**5 + 0*r**5 + (r**3 - 2*r**3 + 0*r**3)*(2*r**2 - 1 + 1) + 0 + r**5 + 0.\nAnswer: -16*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 158134 is divided by 28?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = o + 2. Let g = 3 + o. Suppose -18 = -c - g*c. Is c a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1)\/19 - (-2)\/(532\/3206). Let r(n) = n**2 - 6*n + 2. Let j be r(7). Solve -5*y + j*y + z = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-15*l**2 - 5*l**2 + 121*l**2)*(-5*l**2 + 3*l**2 - 2*l**2 + (-l - 3*l + 3*l)*(-3*l - 6*l + 2*l)) to n*l**2 + h*l + g*l**4 + m*l**3 + i and give g.\nAnswer: 303","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 11, g: 1, k: 3, i: 3, b: 1}. What is prob of sequence ccb?\nAnswer: 55\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -55\/4077 greater than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i - 15 = 4*h + i, -4*h = i + 25 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 74 a factor of 3454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(-12)*i**(-3\/10)*(i*(i**(-1\/9)*i)\/i*i*i)**(-2\/27) assuming i is positive.\nAnswer: i**(-30409\/2430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -48 - -43. Let c(s) = s**3 + 4*s**2 - 2*s - 2. Give c(y).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (2\/(-10))\/(4 - 3). Let q = 19 + -18.1. Let m = q - 5.9. What is the nearest to 1 in m, 2\/3, p?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = 3*z - 20 - 4, 0 = x - 3. Suppose 6*v - 1 = 7*v - 2*w, -5*v + 31 = 2*w. What is the lowest common multiple of v and z?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -4*f + 2. Suppose -54 = -15*t + 36. Let q(o) = -t - 22 + 0*o - 9*o + 33. What is -7*i(b) + 3*q(b)?\nAnswer: b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -752 (base 9) to base 2.\nAnswer: -1001100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 2*o - 4. Let u be f(3). Suppose 4*s = u*s - 2. Is 8 a factor of 26\/((2\/(-3))\/s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 - (-2 + 0 + -1 + 4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a - 9 = -v + 3*a, 6*v = -a + 54 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2)\/10 - 82\/(-435). Let r = s + 119\/261. Factor -2\/9*u + 0 + r*u**3 + 2\/9*u**2.\nAnswer: 2*u*(u + 1)*(2*u - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22322258 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 9 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4*2\/(-42)*-1*(-12)\/(-40)?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -143319812*o - 78563652?\nAnswer: -143319812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = i**3 - 7*i**2 - 9*i + 23. Calculate h(8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.45 + -0.05. Which is the second smallest value?  (a) 4  (b) 0.01  (c) -5  (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -80.797258 + 151.797287. Let v = f - 71. Round v to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*a**4\/4 + 24519*a**3\/2 - 220509*a**2 + 1322730*a - 2645136 = 0. Calculate a.\nAnswer: 6, 16328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1438 - 1?\nAnswer: 1437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -353258 or -353198?\nAnswer: -353198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = d**2 - 2395*d. Let q(t) = -48*t. What is o(q(u))?\nAnswer: 2304*u**2 + 114960*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 5*r + 12 = 0. Let w(v) = v**3 + 9*v**2 - v - 7. Calculate the least common multiple of r and w(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 3 = n. Suppose 2*u + 5*l = 4*l + 3, 0 = -u - n*l - 1. Solve u*a = a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -35\/72 and -51\/50732.\nAnswer: 913176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -185 + 119. Let m be 2\/4 + u\/180. Let s = 8 - 8.3. What is the nearest to 1 in 7, m, s?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4 * -232.4.\nAnswer: 929.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -682 - -2973. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3810*i**2 - 7688*i**2 - 4375 + 523*i**3 - 72*i**4 + 1013 + 1373*i**3 - 12956*i.\nAnswer: -2*(2*i + 1)**2*(3*i - 41)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*f = -3*w + 6, 3*w + 727*f - 726*f - 6 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.01 - 0.04356.\nAnswer: -0.03356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14 + 18 = 4*t + 4*j, -4*t - j + 8 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*l**2 + 4*l**2 + 8*l**2 - 4*l**2 + 3*l**2 + 5*l**2 + 3*l - 3*l + l**2 + (-2*l + 0*l + l)*(0*l + 4*l - 5*l) + 3*l**2 - l**2 - l**2.\nAnswer: 17*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sqezh. Give prob of picking 1 q and 1 e.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/(2\/(-5)))\/(2\/(-4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.48 and 38099.\nAnswer: 18287.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 60*r. Let k(f) = 6166*f**2. Give n(k(q)).\nAnswer: 369960*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q + 3*q = -5*w + 150, 4*q - 5*w = 111. Suppose -3*d - 3*u + 240 = 0, -2*d + 119 = -u - q. What is the remainder when d is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 0.4, -9, -29364.5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2.62162 - -0.39468. What is i rounded to 0 dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*l = 13*l - 12, -2*l + 1061 = 5*y. Let p = y + -193. Solve -8*b = -2*b - p for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 29511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -o**3 - o**2 + 3. Let x = -2 - -2. Let i be q(x). Suppose 0 = i*a - 2*a - 3. Solve b = -0*b + a for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3 + 25. What is the highest common factor of j and 224?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from {n: 13, e: 3}.\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*m - 2*f = -23*m - 1, 2*m - 2*f + 4 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.005377362 to six dps.\nAnswer: -0.005377","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2 + 1)*(4*z**4 + 3*z**4 - 2*z**4) + z**2 - z**4 - z**2 + 0*z**4 + 0*z**4 - 2*z**4.\nAnswer: -8*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 26*q. Let w(z) = 13*z. Let j(r) = -4*c(r) + 9*w(r). Let f = -3 - -4. What are the prime factors of j(f)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = l**3 + 4*l**2 - l - 3. Let g(r) = 5*r - 2. Let x be g(1). Suppose -3*f = -x*a + 69, 3*f + a + 55 = -34. Let m = 24 + f. What is o(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (3\/(-9))\/(1\/2487*2380). Let h = -24\/119 + r. What is the common denominator of h and 15\/11?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 36\/14*(-140)\/(-60)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 13 + 5*t + 0*t - 3*t - t. Let h be j(-5). Calculate the least common multiple of (-70)\/(-8) - ((-18)\/h - -2) and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) be the third derivative of g**5\/60 - 5*g**4\/24 - 14*g**2. Let q be f(-3). What is the hundreds digit of 2418\/q - 3\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5424653 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42428*w + 928 = -42457*w for w.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -35 + 115. Let a be 2\/8 + 60\/p. Are a and 22\/15 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-16)\/20)\/(4\/(-10)). Solve 0 = t*z + 5*d - 2, 4*z + d = -2*d + 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 30208892 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -19.1 + 12.2. Let c = -6.9266 - g. What is c rounded to three decimal places?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8)\/(-10)*(-15)\/12*-2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3 + -1. Let p(l) = -l**3 - 4*l**2 + 4. Let y be p(d). Find the second derivative of -2*i - 5*i**4 + 5*i**y - 2*i**4 wrt i.\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 21\/11650 and -73\/3960?\nAnswer: 4613400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 19641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -59\/8 and -55\/5924.\nAnswer: 11848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -916 + 904 = -q. Solve -20 = -4*n + 5*x, 9*n + 3*x = q*n - 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 13330*v**2 + 2*v - 26940?\nAnswer: 26660*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5304 - 2242250?\nAnswer: -2251554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*m**3 - m**3 + 0*m**3)*(-2 + 1 + 2)*(-2*m - 2*m + m).\nAnswer: -18*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -6ab92d (base 16) in base 12?\nAnswer: -24136b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 32*a + 6 - 4 - 5 + 2.\nAnswer: 32*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*t + a - 19, -4*t + 39 + 5 = 4*a. Suppose -29 = -t*r - 29. Put r, 2, 3, 10 in descending order.\nAnswer: 10, 3, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -20 + 21. Let c = -0.1 - -0.2. Are c and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 17773116?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-r + 0*r + 5*r + 5*r - 5*r + r + (0*r - 4*r + 2*r)*(-2 + 1 + 2) + r - r - r + (3 + 2 - 3)*(-r + 4*r - r))*(-2*r**2 + 7*r**2 - 3*r**2)*(-r + 0*r + 2*r).\nAnswer: 12*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zmrqrz. What is prob of picking 1 r and 2 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 64261, 64243, 64225, 64207, 64189, 64171?\n\"Answer: -18*b + 64279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Convert 9.978253 milligrams to tonnes.\nAnswer: 0.000000009978253","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2.248664 - -2.25. Round p to four dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.007  (b) -2\/1033  (c) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor r**2\/2 + 45462776*r + 1033432000813088.\nAnswer: (r + 45462776)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*u**3 - 12*u**3 + 1 + 16*u**3 to the form f*u**3 + h*u + i + m*u**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5873*z + z**3 - 5873*z.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = u - 2*o + 18, -680*u - 46 = -677*u - 4*o for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 50*w**2 - 214*w + 2924. Calculate the lowest common multiple of i(13) and 4.\nAnswer: 8592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*t + 22 = 4*a, 30*t - 26*t - 5 = -3*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 89\/3620176 and 151\/1176?\nAnswer: 76023696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.097?  (a) 40  (b) 2\/9  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2278765355364*a**3 - 44280368*a**2 - 1936*a\/9.\nAnswer: -4*a*(2264337*a + 22)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 9\/122 - -109\/1830. Is -2.7 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 19 - 28 + 9 - 48*l**2 in the form x*l + t + u*l**2 and give u.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*g - 2*g + 8*g)*(g + 4 - 4)*(-1 + 1 + g) + 3*g**3 - 30 - 25 + 58 + (-3*g**2 - g**2 + 0*g**2)*(2*g + 3*g - 4*g).\nAnswer: 3*g**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -26 + 49. Which is greater: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u**(3\/8))\/u)\/u*u*u\/(u*u\/((u*u**(15\/8)*u)\/u)) assuming u is positive.\nAnswer: u**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 282949 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -l**2 + 3*l + 3. Let b be i(3). What is the closest to -1\/5 in b, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1112021010 - 10221220?\nAnswer: -1200020000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2 + -7)\/3 + 24\/8. Let o(c) = c**3 - 5*c**2 - 8*c + 8. Let n be o(6). Let g be 468\/90 + (1*-2)\/10. Sort g, d, -2, n in decreasing order.\nAnswer: g, d, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0 - 33*o**3 + 32*o**3 - 4 + 2 + 29*o**4 + 2*o + 1 in the form i*o**2 + t*o**4 + p*o**3 + k + b*o and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1064 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1441 and 5109?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = -5*g - 224 - 218, 3*g + 255 = 4*s. Let f = -75 - g. What is the highest common divisor of f and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 27*f - 5*f**2 + 122 + 4*f**2 - 7*f + 0*f**2 + 12*f. What is the hundreds digit of z(27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = -4*g + 5*g + 5, -4*j = -8. Solve 0 = -g*r - 2*a - 15, 0*a = -r + 2*a - 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 0.2 and -707\/438813 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 5, t: 1, j: 3, p: 1, c: 4, h: 1}. Give prob of sequence jh.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 60396 - 169016 = 10592*p - 37274 + 352334 for p.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in 3, -0.3, -4\/3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 61081065 by 5.\nAnswer: 12216213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-4)\/6 + (-3975)\/(-5976). Let p = -31537\/1992 + g. Find the common denominator of p and 122010\/(-7595) - -4*4.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = -4*j + 4, 5*g - j - 3 = 2*j. Suppose 0 = g*s - 7*s + 88. What are the prime factors of s?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = l**3 - 18*l**2 + 29*l + 30. What are the prime factors of u(17)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 take away -149.531?\nAnswer: 149.431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -4*p - 1. Give n(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1773098501 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: What is the biggest value in 5\/4, 4, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 12 - 11*i + 6*i**2 - i**3 + 4*i**2 + 4*i**2 - 3*i**2. Let h be u(10). Solve -h*o = o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g\/(g*g**(-3\/7)*g*g)*g\/g**(1\/12)*g**(3\/11)\/g**(1\/14) assuming g is positive.\nAnswer: g**(-419\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 77137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 7\/46350 and -91\/2675700?\nAnswer: 275597100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = j**3 + 33*j**2 + 4. What is l(-33)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0 - 6. Let m(y) = 2*y**2 - 5*y + 6. Let l = 29 - 16. Let p(i) be the first derivative of 4*i**3\/3 - 11*i**2\/2 + 13*i - 4. Give l*m(a) + t*p(a).\nAnswer: 2*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -z**2 + z - 1. Calculate i(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bzi. What is prob of sequence zb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 108558 is divided by 37?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -881376690 to the nearest one hundred thousand.\nAnswer: -881400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = t - 123 - 42. Let o = 21 + -2. What is the remainder when t is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1029 + 1041. What is the remainder when 115 is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/(v**(-3)*v))**11)**(1\/32) assuming v is positive.\nAnswer: v**(33\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2.71 - 2.65. What is the biggest value in -7, h, -0.07?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -4*x + 8. Let b be (-171)\/(-12) + 3\/(-12). Let f(r) = r**3 - 13*r**2 - 7*r - 3. Calculate the remainder when f(b) is divided by l(-6).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/(p\/p**(-5\/2)))\/((p**4\/p)\/p))**(1\/20) assuming p is positive.\nAnswer: p**(-9\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1018205295 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -w**3\/2 + 16429*w**2\/2 + 65729*w\/2 + 49299\/2.\nAnswer: -(w - 16433)*(w + 1)*(w + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (6 - 0 - (-20 - (6 + -79)) - 8) + 6?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -22115001 - 2?\nAnswer: -22115003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, 2\/7, -867, -2 in ascending order.\nAnswer: -867, -2, -0.1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = -5*v - 5206, 0 = 8*y - 9*y + 2*v + 2603. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 128339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 124040334 - 24?\nAnswer: 124040310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -3296546 < -16482727\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u = 5*d + 18 + 88, 0 = 3*d - 2*u + 68. Let h = -13 - d. What is the greatest common factor of h and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*g**4 - g**4 + 6*g**4 + (0 - 1 + 2)*(3 - 2*g**4 - 3) + 88*g**4 - 40*g**4 - 42*g**4 + 4.\nAnswer: 9*g**4 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out 402.5 * 2.\nAnswer: 805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -85, -182, -307, -460, -641?\n\"Answer: -14*b**2 - 55*b - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -0.3, -5, -0.4, -4, 2\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d - d - 3 = -m, -d = 4*m - 32. Find the third derivative of -12*f**2 + m*f**2 + f**3 + 7*f**2 wrt f.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p - 23 = 2*l + 2*p, 3*p = 3*l + 3 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(171)\/(sqrt(27)\/sqrt(3)))**2*1.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 709 a factor of 1644171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*s + 3*s - 3. Suppose -s*j + j = -2. Let f = -0.049 + 1.049. Do f and j have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*c - 13*c + 12406 = 1633. Is 19 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -12*b + 0*b - 8*b in the form a*b + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Product of 11537834 and 0.8.\nAnswer: 9230267.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 115253934 is divided by 1516499?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 80603*o**4 + 32374*o**2.\nAnswer: 1934472*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 83986588?\nAnswer: 2, 7, 428503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -7*r**2 - 6*r + 51. Let d(v) = -8*v**2 - 7*v + 56. Let h(c) = -6*d(c) + 7*g(c). Let w(t) = -2*t + 0*t + 4*t. Give h(w(q)).\nAnswer: -4*q**2 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -g**3 + 6*g**2 - 3*g - 5. Suppose 0*v + 4 = v. Suppose v - 2 = -c, 30 = 4*h + c. What is the remainder when x(4) is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1 - (-14)\/6)*6. Suppose 0 = l + l - n. Put 5, l, -2 in ascending order.\nAnswer: -2, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve x + 5*c + 49 = 0, 5*c + 41 = 3*x - 12 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-59)\/(-3) + 1\/3. Suppose 4*q - 7892*f - 94 = -7889*f, -5*f + 60 = 2*q. What is the highest common divisor of q and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 920 divide 2183774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -a**3 - 7*a**2 + 6*a + 5. Give r(-6).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1836573 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 240 minutes before 2:35 PM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7368 = -191*g + 182*g + 316*g for g.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 17 - 15. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1\/(-5) - (-4)\/(-5). Let s = 36 - 50. Let d be (-8)\/s + (-8)\/28. Is t != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 4*v + 2. Let f be c(4). Let s = -13 + f. Solve -26 - 1 = -2*a - 5*g, 2*g - 5 = s*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 21350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (2\/8)\/(46\/(-483)*(-7)\/8). Solve 340*u + z = 343*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by 31\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -93 + 106. Suppose 0 = 6*g + y - 31. Solve 16 = u + g*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10012022123 (base 4) to base 15\nAnswer: -16327e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38*l**3\/7 + 40772*l**2\/7 - 160458*l\/7 + 115452\/7 = 0. What is l?\nAnswer: 18\/19, 3, 1069","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 + -7 + 4 - -35 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 2*i**2 - 979*i + 79333. What is s(387)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4591 + -4596. Let b(w) be the second derivative of -w**4\/6 + w**3\/3 + w**2\/2 - 3*w. Let k be b(3). Sort h, k, -3, 1.\nAnswer: k, h, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -292*b*h + 3*b + 2 wrt h.\nAnswer: -292*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 11?  (a) -3\/7  (b) -0.29  (c) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -19, 117, 4, -3, 3 in descending order.\nAnswer: 117, 4, 3, -1, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -h + 1. Let p(j) = -1. Let s = 59 - 61. Determine s*c(t) - 5*p(t).\nAnswer: 2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 455679470?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = o**3 - o**2 + 3*o - 1. Let v(f) = f + 1. Let c(z) = -z - 7. Let p(g) = c(g) + 2*v(g). Let i be p(7). What is x(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1312868006?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) be the second derivative of -o**6\/15 - 7*o**3\/2 - 5*o**2\/2 - 7*o. Differentiate p(r) wrt r.\nAnswer: -8*r**3 - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 216\/16*-2*-29.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1311 + -413020323?\nAnswer: -413022134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*3*(-4 + (sqrt(153) + sqrt(153) + 2)*4)**2.\nAnswer: 2880*sqrt(17) + 147120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2310442?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -129 - -129.92. Let g = -1 + 0.2. Let f = a + g. Round f to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = v + 1. Let s(f) be the second derivative of 0 + 2\/3*f**3 + 2*f**2 - 2*f. Let o(a) = a + 1. Calculate v*s(c) + 14*o(c).\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -331003211231 - 10?\nAnswer: -331003211301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1480 and 120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*o**2 + 2323*o**3 - 8*o**2 + 1 - 2319*o**3 - o**4 + (2*o - 3*o + 3*o)*(5*o**3 - 4*o**3 + o**3).\nAnswer: 3*o**4 + 4*o**3 - 14*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 579 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 107.61+7170\nAnswer: 7277.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 87 and 18.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -o + 13. Let d be j(13). Let z = 1 + d. Let n = -63 + 507\/8. Is n < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:09 PM and 1:40 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 3548 divided by -14477?\nAnswer: -3548\/14477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -14*l + 19*l. Do l and 1\/31 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1934 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -254.0036 + 0.0036. Let s = -253.99999646 - y. What is s rounded to seven decimal places?\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*t**2 + 57*t**2 + t**3 + 11*t**2 - 18*t**2.\nAnswer: t**3 + 67*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 69 divide 14219727?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 divided by 499?\nAnswer: 11\/499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -810 = -3*y + 5*d + 1294, 0 = 3*d + 15. Is y a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4 - 0. Let q be (-6)\/g*2 + 8. Suppose 8 + 0 = 2*l, q*l + 9249980 = -5*v. Round v to the nearest one hundred thousand.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = 2*j. Let s be ((0 - -2)*-1)\/(-18 + 23). What is the nearest to s in j, -5, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -604952, -605011, -605110, -605249, -605428, -605647?\n\"Answer: -20*z**2 + z - 604933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is h in 2\/3 + 2*h - 4\/3*h**4 - 2*h**3 + 2\/3*h**2 = 0?\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 73949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the first derivative of 1016*p**5\/5 - 476*p**2 - 864. What is the second derivative of g(n) wrt n?\nAnswer: 12192*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + -10 - ((7 - -3) + (-272 - -269))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h + 8 = 3*h - o, 2*h - 2*o = 8. Let b(u) = -h*u + 9 + 5 - 14. Let f(i) = -i - 5. Let v(q) = q + 4. Let y(a) = -4*f(a) - 5*v(a). Determine y(b(l)).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 109406?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*a - 36 = -23*a + 2*s, -52 = -3*a + 4*s. Calculate the least common multiple of 224 and a.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) be the second derivative of 2*q + 0*q**5 - 7\/2*q**2 - 1\/24*q**6 + 0 + 5\/8*q**4 - 5\/3*q**3. Let j(x) be the first derivative of i(x). Factor j(g).\nAnswer: -5*(g - 1)**2*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = k**3 - 21*k**2 - 23*k + 33. Let w be y(22). Let p(r) = 5*r + 5. What are the prime factors of p(w)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (3*sqrt(2)*-1)**2)*2*-1.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -3*u - 0*u. Let w(f) = 9*f + u - 1 + 2. Does 15 divide w(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j, 1 w, and 1 p when four letters picked without replacement from {s: 4, p: 8, e: 1, w: 2, j: 4}?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*x + 36*x = 20*x + 30. What is the closest to 26 in 5, 16, x, -2\/17?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -272*f**3 + 120*f**2 - 41*f + 14078153 with respect to f.\nAnswer: -816*f**2 + 240*f - 41","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 376622933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.056591 rounded to 3 decimal places?\nAnswer: 0.057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 150 is divided by 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 46, 4, -43, 5, 0, 10 in decreasing order.\nAnswer: 46, 10, 5, 4, 3, 0, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (-8)\/1344*-8*12\/(2\/1)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 97.3932s in microseconds?\nAnswer: 97393200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 times 1733527?\nAnswer: -6934108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 2 - 3 + 0 + 2*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) be the second derivative of s**5\/20 + 5*s**4\/12 + 2*s**3\/3 - 3*s + 5. Give z(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 112.6577 to 0 dps.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6623.517ms to nanoseconds.\nAnswer: 6623517000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = r - 4*r - 4*y, -4*r + 39 = -3*y. Suppose -2*p - r = -264. Let q = -45 + p. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 3*r + 6. Let z(a) = -4*a - 7. Let n(j) = -5*w(j) - 4*z(j). Let h be n(7). Suppose -h*x + 89 + 86 = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6617 - 1353 = -7*n. Let k be ((-106)\/8 - 1)*n\/6. Suppose 3*o = y - 893, 2*y - 4*y - 5*o = -k. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*r - 6*r - 8 = 0. Solve -2*s + 3*t = -r, s = -2*s + 3*t for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = -15*i - 11 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3861\/(-1144))\/((-1)\/8).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1680 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: Find the second derivative of 9*l**3*z**3 - l**2*z**3 - 12*l**2*z**2 - l*z + 546*z**3 wrt l.\nAnswer: 54*l*z**3 - 2*z**3 - 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 653886527?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1985128077?\nAnswer: 3, 661709359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 12 + -21. Let i be 5\/(15\/u) + 159. Suppose -l + 2*l = -3*q + i, -52 = -q + 4*l. Is 19 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 4*b - 149. Let t(h) = -5*h + 157. Calculate -7*r(m) - 6*t(m).\nAnswer: 2*m + 101","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 9.184806 grams?\nAnswer: 0.000009184806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = q + 7 - 14, 4*q + 5*u - 36 = 0. Which is smaller: -3\/8192 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eeex when four letters picked without replacement from {e: 14, x: 5}?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide -144 by -4.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out -10047 * 0.1.\nAnswer: -1004.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3825141925.\nAnswer: 5, 11, 31, 448697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -y**2 + 13*y + 26. Calculate q(15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9245*n**2 + 307020*n + 2548980 = 0. What is n?\nAnswer: -714\/43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 125982802.7 minus 3228?\nAnswer: 125979574.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + 4 + sqrt(110)\/(sqrt(10)*1))**2 + 4 + 3.\nAnswer: 6*sqrt(11) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:30 PM and 5:34 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 121838 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 37, 11\/3, 1\/2, -2\/13, -2, -3, 52?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-one halves of a decade in years?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -7084989 divided by -1863\nAnswer: 3803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 3*j + 3 = 6*j, m + j + 1 = 0. Let i = -23 - -28. Let x be ((-3)\/2)\/(3\/4). Put i, x, m, 1 in decreasing order.\nAnswer: i, 1, m, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from grng. Give prob of sequence rg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01836 rounded to 3 dps?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(605))**2 + -5 + 0 - (-1 + (sqrt(605) - sqrt(605)*-1*-1)))*-6*1*2.\nAnswer: -28992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 3932*t + 3923*t - 7857*t + 3959 in the form a*t + y and give y.\nAnswer: 3959","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**23\/n*n*n)\/n**(-12) assuming n is positive.\nAnswer: n**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) -3\/7  (b) -2  (c) 0.4  (d) -142\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = s + 4. Let m be a(6). Let w(h) = -4*h + 1 - 13 + m + 5*h + 4. Calculate w(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 266 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*a + 4*a - a)*(10 + 23 - 62)*(-2 - 2 + 3).\nAnswer: 87*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1713 divided by 3.\nAnswer: -571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*s**4 + 0*s**4 - s**4)*(4*s - 3*s - 2*s) + 0*s**5 - 2*s**5 + 0*s**5.\nAnswer: -6*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5*k + 0*k**2 - 3*k**2 + k**2)*(-5*k - 2*k + 13*k) + (-11 - 5 - 3)*(0*k**3 - k**3 + 4*k**3) to the form z*k + d*k**2 + w + q*k**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 4*c = 46 - 11, -4*w = -2*c - 86. Let i = -45 - -89. Calculate the remainder when i is divided by w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 490 minutes after 1:30 PM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -0.2 - 4.4296\nAnswer: -4.6296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1 by 35.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does -6118 = -11076?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/6?  (a) -3  (b) 2  (c) -0.5018\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45 = -5*o - 259*z + 260*z, 0*z + 2*z = -3 - 7 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*x**3 - 2*x**3 + x**5 + (x**5 - 4*x**5 + 5*x**5)*(-5 + 5 + 1)*(59 + 51 + 70).\nAnswer: 361*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 116962832 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + -1 + 4 - (3 + -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -p**4 - 4 + 2*p + 8*p**2 - p**3 - 11*p**2 - p**2 + 4 to the form m + n*p + h*p**3 + y*p**2 + z*p**4 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = -4*r + 6220, 0 = r + 5*b - 978 - 577. List the prime factors of r.\nAnswer: 5, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(1216)*1 + 3 + -2 + sqrt(38)\/((sqrt(66)\/sqrt(3))\/sqrt(11)))**2.\nAnswer: 34*sqrt(19) + 5492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3.1341 + -3.6341. Let w = 30 - 42. What is the second smallest value in 0.3, -2, o, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10310*i - 13*i**2 + 7*i**2 + 7*i**2 - 14777*i.\nAnswer: i**2 - 25087*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -27840 plus 1301?\nAnswer: -26539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sum 4828 and 14.3.\nAnswer: 4842.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) be the second derivative of -5*x**4\/3 + 3*x**3\/2 + 3*x**2 - 36*x + 2. Let l(y) = 7*y**2 - 3*y - 2. Let k(s) = 6*j(s) + 17*l(s). Give k(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-10)\/(-90))\/((-1)\/(-27)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 96 is divided by 34?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 128201 - 282320. What is c rounded to the nearest one thousand?\nAnswer: -154000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 144060 divided by 4116\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 4512.169 litres?\nAnswer: 4512169","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 86646545 divided by 78985\nAnswer: 1097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -7*c**3 - 116*c**2 + 84 wrt c?\nAnswer: -21*c**2 - 232*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 1202212 (base 3) to base 7\nAnswer: 3524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.5 or 2\/516255?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -498 = 7*l - 1828. Let z = -187 + l. Solve -2 = 2*i - 2*y + y, 15 = z*i + 3*y for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 222*c - 84. Suppose -5*j - 4*p - 64 = -7*j, -4*j + 4*p = -108. Let v be o(j). Round v to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is d in 20316156*d**3 - 108*d + 0 - 113*d**2 - 43*d**2 - 4*d**4 - 20316208*d**3 + 0 = 0?\nAnswer: -9, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -45 + 43. Let r(u) = -2305*u - 6. Let d be r(f). Suppose 6*w = 2*w + d. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66 = -26*a - 13*a + 90. What is the closest to 0.1 in 7, -5, a, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -123\/4, 2, -7\/2 in ascending order.\nAnswer: -123\/4, -7\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1428709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -47*m + 47*m + 28*m**2 + (3*m + 0*m - 2*m)*(m + 0 + 0) + m**2 - m**2 + m**2 + (4*m - 2*m + 0*m)*(-m + 0*m + 0*m) as s*m + v*m**2 + n and give v.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (179*q**3 - 8185 + 8185)*(-23 - 20 - 36 - 7 + 17) as a + l*q + h*q**2 + v*q**3 and give v.\nAnswer: -12351","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 6608257 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-2)\/(-36) + (-2)\/9 and 61\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -5, -1\/7, -0.3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1 + 0.2. Let v = w + -1.3. Let a be -2*2*(-3)\/4. What is the closest to v in a, -2\/5, -5\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -306*j = -692*j + 341*j + 1665 for j.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2377 is divided by 587?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -m**2 - 6*m + 14. Suppose 208 = 274*p - 300*p. Calculate q(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) be the first derivative of -h**3\/3 + 3*h**2\/2 - 2*h - 55. Calculate g(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 25 + -27 + 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -4*o, -f + 2758 = -272*o + 276*o. Is 34 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 4, d: 4, m: 9}. Give prob of picking 1 d and 2 m.\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5552 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -22 + 15. Let c(w) = -w - 1. Give c(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1730*x + 2265.\nAnswer: -1730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is five sixths of a decade in months?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 14 * 7\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -2*d**3 - 6*d + 5. Let b(y) = -3*y**3 - 11*y + 10. Determine 4*b(u) - 7*l(u).\nAnswer: 2*u**3 - 2*u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1309?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 697971.\nAnswer: 3, 197, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 12959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in -36, 33, -2, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/(12\/(-14)*(-21)\/12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 834 - 834. Solve 16*o + 32 + 32 = n for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2 - -2.1. Let x(k) = -3*k**3 + 3*k**2 - 7*k + 5. Let l be x(2). Let d be ((-2)\/l)\/(3\/9). What is the second smallest value in d, w, -2\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15127*q - 1672 = 14975*q for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 16092 and 216.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 478302893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 9986350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*-2*(5 + 4 + sqrt(252))*2)**2*-4 + 5)*-2.\nAnswer: 124416*sqrt(7) + 383606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.0111 + -0.0889. What is the smallest value in c, 80, -4, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 51281, 205188, 461705, 820832, 1282569, 1846916, 2513873?\n\"Answer: 51305*n**2 - 8*n - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2*h - 9*h - 3*h)*(-3*h**2 - h**2 + 3*h**2) - 51*h**3 + 5*h**3 - 71*h**3)*(-2*h + 2*h + 3*h**2).\nAnswer: -321*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 216 and 775368?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + sqrt(147) + sqrt(147) + sqrt(9)\/(sqrt(9)\/sqrt(3)))**2.\nAnswer: 90*sqrt(3) + 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4\/5*d + 0 + 2\/5*d**2 = 0. What is d?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + 6\/(-72)*-4*15.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (i - 8 + i - 4*i)*(3*i**3 - 4 - i**3 + 3) + (1 + 0 - 2)*(3*i**4 + i**4 - 3*i**4).\nAnswer: -5*i**4 - 16*i**3 + 2*i + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 77389639?\nAnswer: 257, 301127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (15\/12 - 0)\/(84\/336)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 49114 less than or equal to 45917?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 51002 and 742?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 864\/(-1926)*3\/(-60) and 52\/7?\nAnswer: 3745","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -i + 6. Let j be y(4). Suppose j = 2*z - 4. Let c = z - 3. Solve c = -4*f - 0*f - 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -299 - -542. Suppose -3*w + 264 = i. Solve -5*j = -25, w*d = 2*d + 4*j - 35 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vok when three letters picked without replacement from kgvov.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36*q + 309 = -663. Solve -3*i + 6 = -3*y + 6*y, 0 = 4*i - 3*y + q for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -3*y - y. Factor -5*u**y + 2*u**2 + u**3 + u**4 - u + 2*u**2.\nAnswer: u*(u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 14276 and 409688?\nAnswer: 17616584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -11?  (a) 0.0786  (b) -1  (c) -0.2  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 37*r**3 - r**2 + r - 1. Suppose 0 = -2*v - 0*v + 8. Suppose 3*x = 7*x - v. What are the prime factors of g(x)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -17*l**4 + l**3 + 2*l**2 - 39*l wrt l?\nAnswer: -408*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 1.2, 2\/5, -1\/3, -6, -2803, -4, -0.3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = c**2 - 18*c - 137. Give n(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 1\/147, -2\/29, -0.02, -2 in decreasing order.\nAnswer: 3, 1\/147, -0.02, -2\/29, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 28, -5, 3, -1, -4, 843 in decreasing order.\nAnswer: 843, 28, 3, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x - 5039 = 9*g - 4886, x - 2*g - 34 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -2 + 5 + -6 + 148 + 2. Suppose -41 = -4*h + o. Calculate the remainder when h is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5.3801 + 0.3801. What is the second biggest value in 0.2, -2, 1.73, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(175) + 3 - sqrt(168)\/sqrt(6).\nAnswer: 3 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1902*w**4 - 2033*w - 12882464.\nAnswer: -7608*w**3 - 2033","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 4*q**3 + 2*q**2 - q + 1. Let z(y) = 5*y**3 + 3*y**2. Let l be -1 + 0 + (6 - 8 - 0). Let o(m) = l*z(m) + 4*b(m). Factor o(p).\nAnswer: (p - 2)*(p - 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-71804)\/(-6190) - 2\/(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -2*b - 9. Let a(r) = -r - 1. Let p(w) = a(w) - m(w). Let h be p(-8). Suppose -z + h*z - 4*f = -21, -4*z - 2*f = -140. Does 10 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -67022 and 0.3.\nAnswer: -20106.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c + 7 = 5*n, 3*c - 10 - 3 = n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -6952 - -6927.931. Let c = 0.069 + t. Put c, 1, 4, -1\/6 in decreasing order.\nAnswer: 4, 1, -1\/6, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5 + 14. Let b(r) = r**3 - 10*r**2 + 9*r - 5. Let t be b(z). Let s = -2 - t. Solve -4*i - 20 = 3*c, s*c + 28 = -4*i - 2*c for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c - 12 + 22 = -4*u + 33, -8*c + 2 = -4*u - 10 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -76*a + 74*a - 4*l + 36 = 0, -2*a + 24 = -2*l for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h**4 + 3795*h**3 - 274835*h**2 + 1546005*h - 2267370 = 0.\nAnswer: -826, 3, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2\/7  (b) 94\/167  (c) 8  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 98 - 191\/2. Suppose 4*l = 3*l + 4. Suppose -l*h + 2*s + 6 = 0, 4*h - 2*s - s - 7 = 0. Which is the smallest value?  (a) u  (b) h  (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10 divided by 664\nAnswer: -5\/332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7)\/28*((-4)\/238)\/(268\/(-1139))*20.\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x*(x*x\/(x\/(x\/x**0)))\/x)**26*x**(1\/7)*x\/x**(-9))**(-33))**33 assuming x is positive.\nAnswer: x**(-473715\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -a**3 - 11*a**2 + 3*a + 20. Calculate the remainder when v(-12) is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2\/15  (b) -2\/25  (c) -0.1  (d) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 94, 97, 90, 67, 22, -51, -158, -305?\nAnswer: -498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -8737\/2992 + 3\/272. Find the common denominator of 43\/9 and u.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (179*l + 1713*l + 475*l)*(1 + 1 - 3) as d + z*l and give z.\nAnswer: -2367","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g = -5*l + 24 - 6, 4*g + 18 = l for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 6230 * -0.2.\nAnswer: -1246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + 3 + 2*2*-1*sqrt(325)*2 + 3)**2*6.\nAnswer: -480*sqrt(13) + 124806","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 83 a factor of 2730534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -21*z**3 + 4*z**2 + 5*z + 5. Let s(k) = k**3 + k + 1. Calculate h(l) - 5*s(l).\nAnswer: -26*l**3 + 4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.0893 and -13836.94.\nAnswer: -13836.8507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.07*-3.24.\nAnswer: -0.2268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 2*l + 7. Let n(c) = -3*c - 3. Let j(h) = 2*h. Let d(f) = f. Let t(r) = 9*d(r) - 4*j(r). Let o(m) = n(m) + 2*t(m). Determine 3*k(b) + 7*o(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x**2 - 30*x = 0.\nAnswer: 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 153 minutes after 4:27 AM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + -29 - (53 + (-11 - 74)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.925149l in millilitres?\nAnswer: 1925.149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 21*t**3 + t**2. Let w be y(1). Let n = w + -16. What is the third derivative of -n*i**2 - 2*i**5 + 11*i**2 - i**2 wrt i?\nAnswer: -120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -67\/33 and 70\/76146351.\nAnswer: 837609861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 120\/35*7\/2. Let y = 12 - g. Suppose y = 6*d - 3306 + 1230. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -10006*n + 1791065. Give l(179).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 7*f**3 - 3*f - 2. Suppose 0 = 2*a + 3*s - 1096, -457 = -a - 6*s + 73. Let j = 553 - a. Give k(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2623 + 2*i - 2623.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -6  (b) -4\/5  (c) -1  (d) -4  (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l + 20 = -7*t + 5*t, -144*t - 13 = -141*t - l for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z and 2 k when four letters picked without replacement from {l: 1, k: 3, z: 11}?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 7721*o**2 + 83473 wrt o.\nAnswer: 15442*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2 * 260.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 702 divided by 312\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2935.785 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 63*t - 27. Let c be g(12). Suppose -c - 351 = -2*z. Is z a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 18*(124\/2511)\/(4\/18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 4119174 divided by 47\nAnswer: 87642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 110100010110 + 100?\nAnswer: 110100011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1051616, 2103239, 3154872, 4206521, 5258192, 6309891, 7361624?\nAnswer: 8413397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -2*q + 29. Let h = 110 + -114. Let s(u) = u - 28. Let t(n) = h*s(n) - 3*k(n). Let x be t(-11). Which is the nearest to -2?  (a) -1.1  (b) x  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yzyyuyyyyyuyq. What is prob of sequence qy?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 219203 is divided by 83?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 minutes before 3:59 AM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 25\/8 of a day?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h + 4*w + 2120 = 2062, -2*h = 4*w - 32 for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 355 and 8647445.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1251 and 22379.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 181 minutes before 12:56 PM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -q**2 - 7*q - 4. Let u be w(-4). Let x be 3\/(-2 - (-22)\/u). Suppose 4*j**2 + 4*j**x - 5*j - j**2 + 3*j + 2*j**5 - 7*j**2 = 0. Calculate j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 15 = s, 19 = -2*o + 1529*s - 1534*s. Solve -27*a + 3*l = -31*a - 6, 0 = -2*a - 4*l - o for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) be the first derivative of -f**4\/2 - f**3 + 4*f**2 - 3*f + 152. Determine i, given that w(i) = 0.\nAnswer: -3, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(133)*-4 + sqrt(133)) + (sqrt(133) - (1*sqrt(133) - sqrt(133) - sqrt(133))*5) + sqrt(133))\/((sqrt(847) - sqrt(847)*2 - sqrt(7))*-4*-4).\nAnswer: -sqrt(19)\/192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 2*k. Let j(a) = -44*a**2 - 2. What is t(j(u))?\nAnswer: -88*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2411102223 (base 5) to base 4.\nAnswer: 111032313302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -775, -742, -697, -646, -595, -550, -517?\nAnswer: -502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*o - 7*f - 1322, -17*f + 661 = o - 15*f. What is the remainder when o is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 171 times -0.1?\nAnswer: -17.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/(-7) + 60\/14. Let d be 6\/(1 - j) + 2. Solve d = x - 3*x - 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/(g**(-1\/4)*g*g)*(g\/g**6)\/g)\/((g**(-1\/2)\/g)\/g)**(6\/5) assuming g is positive.\nAnswer: g**(-15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Product of 13700.6 and 0.27.\nAnswer: 3699.162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Do -0.2 and 42.435933 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 0*c - 276 = -3*h, -4*c + 4*h + 552 = 0. Suppose 5*v - c = -8. What is the greatest common factor of v and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the second derivative of -3*m**3\/2 - 1758*m. Let n(y) = y - 215. Determine q(n(i)).\nAnswer: -9*i + 1935","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*h + 5*n + 7 = 27*h, 11 = 5*h - 3*n for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -t**2 - 4*t + 2. Let g be z(-4). Suppose -j = 3*u - 8, 5 = -2*u + 3*u - g*j. What is the smallest common multiple of u and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6996 by 33.\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 988?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 364359 is divided by 360285?\nAnswer: 4074","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -553*m**2 - m + 118*m**2 - 2*m**3 - 844*m**2.\nAnswer: -2*m**3 - 1279*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 4*y - 5882. Let p(n) = -n - 151. Give p(v(w)).\nAnswer: -4*w + 5731","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2de (base 15) to base 9.\nAnswer: -812","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -23*o**2 - 15*o**4 + 2*o - 13*o**4 - 25*o**2 + 6*o**4 + 11*o**4 as g*o**4 + r + z*o**2 + a*o**3 + h*o and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = g**2 + 154*g. Let h(v) = 438*v**2 - 1. Determine o(h(c)).\nAnswer: 191844*c**4 + 66576*c**2 - 153","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve z - 10*z - 261 = -38*z for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 87 a factor of 520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -855 + -1876. Let n = -1651 - p. Suppose n = 5*x + 3*x. Is 10 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 16 and 231218.\nAnswer: 1849744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 9766.016 milligrams in micrograms?\nAnswer: 9766016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.7 and -166.\nAnswer: 116.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) be the third derivative of 0*y**3 + 0 + 2*y**2 + 0*y + 1\/8*y**4. Calculate p(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 20503344 (base 6) to base 2\nAnswer: 10010010010111110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1872781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -j**2 + 2*j**2 + 3*j**2 + (1 + 1 - 1)*(2*j**2 - 2*j**2 - j**2) + (0 + 0 + 2*j**2)*(3 - 1 - 1)*(6 - 1 + 0).\nAnswer: 13*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -15.2 * 8\nAnswer: -121.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*c + c - 21. Let j = c + -9. Solve y + 2*y + j = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 47\/13*(32279\/(-573))\/(104\/(-24)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 24 - 24.5. Let o = 1.1 - -0.9. Put n, 4, o in decreasing order.\nAnswer: 4, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 81527679 a multiple of 266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 181328 and 362656?\nAnswer: 362656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3287, 6534, 9781, 13028, 16275, 19522?\nAnswer: 22769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -s**3 - 3*s**2 + 5*s + 1. What is y(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-123)\/(-21) + -6 + (-66418)\/(-14).\nAnswer: 2, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 61 - 56. Suppose 4*s - 8 = 0, b*s + 188 = 2*v - 4. Let x = v + -512\/5. What is the nearest to -1 in 1\/3, x, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11131400112 (base 5) to base 3\nAnswer: -212021120001210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 13 + 228. Is j a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-418)\/209)\/((1\/1)\/((-16)\/16))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 791 + (11 + -18)*(-6)\/21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -378 - -383. Solve -10*f - 25 = -s*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*q + 0 + 0 + 0*q - q - q + (q + 2*q - 5*q)*(3 + 4 - 5) + 2*q - 2*q - q - 9*q + 13*q - 41*q)*(4 + 1 - 4).\nAnswer: -46*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y = 2*y. Suppose -3*r + 36 + 18 = y. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -90*u**3 + 20*u**2 - 20. Let j(r) = r**2 - 1. Determine -20*j(m) + z(m).\nAnswer: -90*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) be the third derivative of -79\/24*z**4 + z**2 + 97 + 0*z + 0*z**3. Let x(c) = -2*c**2. Calculate n(x(h)).\nAnswer: 158*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 1046*c + 7325. Let t be o(-7). Solve 3*q - 2*v = 13, -5*v - t = -8*v for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-3)*(-216)\/(-72).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*y**2 - 17 - y**3 + 17.\nAnswer: -y**3 - 10*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 17*b + 1. Let x(a) be the third derivative of -a**4\/6 - 9*a**2. What is -2*q(o) - 9*x(o)?\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 34404 and 2429142.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16267*0.2.\nAnswer: -3253.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = b**2 + b + 19. Let i be v(-6). Suppose i*w - 22100 = 44*w. Let l be w\/(-50) + (-2)\/(-5). Round l to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 118 + (15 - (21 - -48))?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 5*c - 48. Let w(u) = 4*u - 48. Calculate 3*b(s) - 4*w(s).\nAnswer: -s + 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -i**2 - 9*i + 12. Let z be 2 + 36\/(-4 + 1). Let p be y(z). Solve -5*s - 5*h - 15 = 0, p*h = 5*s - s - 18 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -254636 or -254903?\nAnswer: -254636","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 6475666953.1188 + -0.9?\nAnswer: 6475666952.2188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Total of 525 and -10839.\nAnswer: -10314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000259783143 rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u**3\/3 + 262896*u**2 + 2103056*u - 15773120\/3 = 0. What is u?\nAnswer: -197164, -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -52331560*s - 52331555*s - 52331551*s + 2*s**3 + 156994666*s.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 129098*s. Let x(j) = 4*j. Give r(x(l)).\nAnswer: 516392*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -306*l - 30 = -312*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1021 and 0.1.\nAnswer: -102.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -353*f**3 - 14*f**2 - 291*f. Let z(t) = 177*t**3 + 8*t**2 + 145*t. Let w(d) = 4*m(d) + 7*z(d). What is the second derivative of w(q) wrt q?\nAnswer: -1038*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3127601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the first derivative of -w**4\/4 + 4*w**3\/3 - w**2 - 7. What is l(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 2*x**3 - 166*x**2 + 631*x - 1. Calculate h(79).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -y**3 + 10*y**2 - 10*y + 4. Let o be j(9). Let f = 8 - 8.3. Which is the closest to 1\/2?  (a) o  (b) f  (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1*(0\/(-2) + 3). Suppose 0 = 3*s + 12 + v. Let l(f) = 2*f + 10. Let g(h) = -h - 5. Let n(b) = 5*g(b) + 2*l(b). What is n(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -16*o**3 - 2*o**2 - 3*o. Let a be 2 + (-2 - -3) - 5. Let j be l(a). Suppose 0 = 4*x - 50 - j. What is the highest common divisor of 11 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -248*j**4 + 2*j**3 - 5*j**2 + 15942*j?\nAnswer: -2976*j**2 + 12*j - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.2 + -0.2. Let w(i) = i**3 - 23*i**2 + 21*i + 37. Let x be w(22). Suppose -17*g + 14*g - x = 0. Sort o, g, 5 in decreasing order.\nAnswer: 5, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5*2\/(-2)*1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 160550068 to the nearest integer?\nAnswer: 12671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = -3*g - 2*g. What is the lowest common multiple of g and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) be the first derivative of -y**5 + 0*y**4 + 0*y**3 + 3\/2*y**2 - 4 + 0*y. What is the second derivative of c(w) wrt w?\nAnswer: -60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 3, n: 1}. What is prob of sequence aana?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 138 - -953. Is z a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mgwmmoo. Give prob of picking 1 w and 3 g.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 6434 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -76 = -5*n + 119. Let r = n + -36. Sort -1, r, 0 in increasing order.\nAnswer: -1, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 18\/(-12) - (-6)\/4. Let s be 4 + 1 - t - 2. Suppose -u + 4*u + 3*g - 27 = 0, 0 = -s*g - 15. Is 11 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*d - 12*d - 4 = 0. Let k(b) = -40*b - 8*b - 27*b. Does 25 divide k(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -881*x. Let o(l) = 2*l - 1. Calculate -o(n) - t(n).\nAnswer: 879*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 139 minutes after 12:25 PM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) be the third derivative of m**8\/28 + 76*m**7\/105 + 28*m**6\/5 + 96*m**5\/5 + 64*m**4\/3 - 2*m**2 + 39*m. Determine c, given that w(c) = 0.\nAnswer: -4, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 71*s**2 + 127*s - 26. Does 86 divide x(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 359 = -m + 9169, -2*f - m + 4404 = 0. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 15401091 or 15401071?\nAnswer: 15401071","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 119\/49672530 and 71\/66230040.\nAnswer: 198690120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 23 and 529?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -81 - (8 + -4) - 2. Let t = -695\/8 - n. What is the second biggest value in 3, -2, t, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine s so that 3*s**5 + 40581*s**4 - 81195*s**3 - 284049*s**2 + 811704*s - 487044 = 0.\nAnswer: -13529, -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 55881?  (a) 1\/5  (b) -0.7  (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -k**2 - 10*k + 149. Let z be v(8). Suppose -986 = -o - z*a, -4*o - 24*a = -27*a - 3875. List the prime factors of o.\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -2*b + b + 3*b. Let m(g) = g**3 + 7*g**2 + 5*g - 7. Let d be m(-6). Calculate k(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -951 - -967.83. What is v rounded to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = g**3 - 5*g**2 - g + 7. Let j be q(5). Differentiate x**4 + 7*x**2 - 7*x**j + 3 wrt x.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 1000 from 1.3.\nAnswer: -998.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = c**2 + 4*c - 1. Let r be s(-5). Suppose 0 = -r*b - b + 20. Solve -5*f = -w - 23, -5*w + 0*f - 31 = -b*f for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 23*k + 903. Give j(-43).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 19*j**2 + 15*j. Let z be 57\/(-11) - 16\/(-88). Let r be i(z). Suppose r = 7*v - 2*v. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d**4\/5 - 27*d**3\/5 + 81*d**2\/5 + 199*d - 210 = 0. Calculate d.\nAnswer: -5, 1, 10, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 649464 to the nearest integer?\nAnswer: 806","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 10 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 288\/(-54)*18\/(-24). Suppose -k + 0*k - 1 = 0. Calculate the least common multiple of k\/((5 - l)\/(-4)) and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -5 - -2565661?\nAnswer: 2565653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 297852 = -3*x, 119140 = -126*b + 128*b - 2*x. What are the prime factors of b?\nAnswer: 3, 6619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = -36 - 6. Let z(r) = 14*r**2 - 2*r + 1. Let q be z(1). Suppose 3*f - n = q. What is the greatest common divisor of 9 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 37330799 to the power of 1\/2, to the nearest integer?\nAnswer: 6110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -291233 != 0.06?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 4  (b) 5\/2232  (c) 6  (d) 1\/6  (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 6*c + 3. What is the tens digit of d(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-7)\/((-18)\/1620 + (-1)\/10)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 15 and 3045?\nAnswer: 3045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 296707, 593253, 889799, 1186345, 1482891, 1779437?\n\"Answer: 296546*x + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 177, 1, 0.2, -1, -3, 6\/7?\nAnswer: 177","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 96*u - 75 = 74*u + 47*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -5ea (base 15) to base 7\nAnswer: -3631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 7?  (a) 4\/9  (b) -0.5  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 56\/(-420) + (-622)\/(-165)?\nAnswer: 40\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -209573, -209585, -209597, -209609, -209621, -209633?\n\"Answer: -12*y - 209561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o + 88 - 68 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 14730, 14785, 14840, 14895, 14950, 15005?\nAnswer: 15060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let 0*w**2 - w**4 - 6*w**3 + 24*w + 0*w**4 + 71 - 87 - w**2 = 0. Calculate w.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5698 is divided by 409.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 24\/(-2)*(-2)\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2276 + 11384\/5. What is the nearest to -1 in t, 0.39, 0.4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4864803?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -89*q**2 - 133*q**2 - 58*q**2 + 49*q**2 + 9*q**2 + 6*q in the form h*q + u + r*q**2 and give r.\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 65*v**2 + 59*v**2 - 9*v**5 - 130*v**2 wrt v.\nAnswer: -540*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 297 and 34386.\nAnswer: 309474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2513 and 3813298.\nAnswer: 26693086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 minutes after 5:55 AM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 9 - 23. Let q(k) = 83*k + 74*k - 25 + 93*k - 256*k. Is q(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 94923 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (272\/40 + -7)*-20. Solve z*i + 8 = -2*l, -l + i = -3*l - 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) be the first derivative of q**4\/22 + 2*q**3\/33 - 79. Factor f(c).\nAnswer: 2*c**2*(c + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -10294145, -20588292, -30882439?\nAnswer: -41176586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 241309?\nAnswer: 29, 53, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 50*d - 11. List the prime factors of w(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(68) + sqrt(68)*3*3 - -2*sqrt(68)*3)\/((sqrt(12) + -3*(sqrt(432) - sqrt(12)))\/sqrt(3))*2.\nAnswer: -16*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + (-9 + -8 - -6).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = k**2 + 5*k - 14. Let j be l(-8). Is j greater than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) be the third derivative of -j**4\/8 - 2*j**2 + 1310. Let a(r) = 46*r**2 + 2*r. What is n(a(h))?\nAnswer: -138*h**2 - 6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1 - -2. Suppose k = u*k - 2, 0 = -4*n - 4*k. Which is the closest to 0.1?  (a) n  (b) -5\/3  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 19 - 0?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 758 is divided by 589.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 8211 + -8152. Let f be 0\/(-1) + 3 + -3. Which is greater: a or f?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -2*i + 4. Let k be u(-4). Suppose 0 - k = -3*j. Suppose 0 = -3*o - 2 - j. Is 0 greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -83536 divided by 16.\nAnswer: -5221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.21 + -0.22. Let d = 0.09 - c. Let k = 28 - 23. What is the second biggest value in k, 2, d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -363, -776, -1269, -1884, -2663?\nAnswer: -3648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -4*k**2 - 149*k + 14862. Calculate x(41).\nAnswer: 2029","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 2, 671, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 3633779826?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1013949515.\nAnswer: 5, 59, 3437117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -5*y + 9. Give x(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 746804.\nAnswer: 2, 186701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 14\/(26\/10 - 18\/30). Suppose 5*p = 5*z + m*p + 52, 4*z = 4*p - 36. What are the prime factors of ((-85)\/z - -3)*4?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 29350*b**4 - b**3 - 1319*b**2 - 62235351*b wrt b?\nAnswer: 352200*b**2 - 6*b - 2638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 5*k**3 + 2*k**2 - 468*k + 1847. Calculate n(4).\nAnswer: 327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from skkjslfflkdl. Give prob of picking 1 l and 1 j.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -27, -115, -259, -459, -715, -1027?\nAnswer: -1395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -r**3 + 54*r**2 - 501*r + 12545. Give q(49).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 585 minutes after 8:13 PM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3 or -802?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -5  (b) 5\/24  (c) -1\/47  (d) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -3*l**2 + 53*l + 91. Give s(19).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16\/(-246)*((-2)\/40)\/(86\/2580)?\nAnswer: 4\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 466 minutes before 4:39 AM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -h - 2. Let s be p(7). Let a = 91.932 + -92. Let w = a + 0.568. What is the biggest value in s, w, 1\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 42*n**3 - 17*n**2 - 13*n + 7. Let i(u) = -21*u**3 + 8*u**2 + 6*u - 3. Calculate 13*i(b) + 6*o(b).\nAnswer: -21*b**3 + 2*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -909, -1831, -2765, -3717, -4693, -5699, -6741?\nAnswer: -7825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 121885?\nAnswer: 5, 19, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -28*w**2 - 4*w - 1055. Let p(c) = -65*c**2 - 8*c - 2110. Determine -3*p(s) + 7*x(s).\nAnswer: -s**2 - 4*s - 1055","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 412265 to the power of 1\/2, to the nearest integer?\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 169675 = -y + 2*w, 0 = -5*y + w + 848495. Round y to the nearest one thousand.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 10696 and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = u + 2. What is the units digit of j(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (d + d + 5*d)*(-16 + 5*d + 18 + 0*d).\nAnswer: 35*d**2 + 14*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = d**2 + 2*d + 2. Let x(f) = f**2 + 3*f + 1. Let u be x(-4). Let m = u + -2. Is 17 a factor of g(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c**3\/6 - 4073*c**2\/6 - 64927*c\/6 - 20285\/2 = 0 for c.\nAnswer: -4057, -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide -291502 by -46.\nAnswer: 6337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2415 is divided by 1039?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/234148105 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-4)\/(-18) + 168\/(-27). Let w be 1 - 3 - 10\/i. Let d = 406 + -403. Which is the nearest to w?  (a) -3  (b) d  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 88 is divided by 4\/(-9) - ((-520)\/36 - 13).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in -4, 8, -0.94?\nAnswer: -0.94","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 26*m**2 - m + 51. Let h be k(6). Suppose -h - 1692 = -33*u. What is the highest common factor of 36 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/27)\/(28\/(-126))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -563 + 56250?\nAnswer: 55465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*o**2 - 5 - 4*o + 5 + 0.\nAnswer: 2*o**2 - 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in -0.21, 2\/3, -8, -3, 0.032, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (2385\/54)\/53*(-10)\/(-225)?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 137442732*u**3 + 6790425*u**2 + 1?\nAnswer: 824656392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7.2 + 2.8. What is the nearest to -2 in -2\/7, g, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -q - 2. Let p be y(-5). Differentiate -5 + 0 + v**p + v**3 + 0*v**3 wrt v.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-59 + 39)*(0 + -5). Which is smaller: 12 or h?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 5\/30 + 1\/(-6). What is the common denominator of 44\/27 and ((-21)\/(-45))\/(k + 6\/(-65))?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7, -5, -31, -77, -149, -253, -395, -581?\nAnswer: -817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3 - 1. Let l be 9\/(36\/8)*6\/4. Sort k, l, 0.\nAnswer: k, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -52\/44435?\nAnswer: -52\/44435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 2707 = -2*h + 5*x, 5*x + 5 = 0. Let d = h + 2660\/3. What is the common denominator of d and 112\/18*(-6)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -285 = -5*n + 5*m, 2*n + 105 = 4*n - 5*m. Suppose -n = 21*t - 25*t. Solve 5*c - 20 = -5*i, -5*i + 2*c = -0*c + t for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/(-2))\/((8\/(-2))\/(-2))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 406 minutes before 8:19 PM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -288 + 258.5. Round k to the nearest integer.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30 + 40 + 4*t**3 + 8 + 8 - 95 + 13.\nAnswer: 4*t**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -6*z**2. Let y(f) = -1. Let a(k) = -3*k + 2. Let n be -1*((-6)\/9)\/(6\/27). Let b = -29 - -35. Let o(j) = b*y(j) + n*a(j). What is o(l(c))?\nAnswer: 54*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 102 = 3. Find the common denominator of ((-105)\/(-80))\/(3\/2) and ((-6)\/x)\/(16\/(-28)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 2 - 7 = 0. Solve 3*h - i + 9 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) be the first derivative of -9*r**2 - 23*r - 6986. Calculate g(-6).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 12*b**2 - 5*b - 17. Let n(u) = 18*u**2 - 8*u - 25. Let h(c) = 8*d(c) - 5*n(c). Differentiate h(z) wrt z.\nAnswer: 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(160)\/(sqrt(100)\/(sqrt(70)\/sqrt(7))))\/((sqrt(8) + sqrt(800)*3)*-4).\nAnswer: -sqrt(2)\/124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 356641121?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 8386908 to the power of 1\/3, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -n**2 - n + 4. Let l be i(-2). Let j(f) = f + 1. Let z be j(1). Suppose -1 - 1 = -z*g. Sort l, g, -3.\nAnswer: -3, g, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 104 minutes before 1:20 AM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 4, a: 10}. What is prob of picking 2 g and 2 a?\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -30, 52, -309, 1 in descending order.\nAnswer: 52, 1, -30, -309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 5\/(1\/(-566240)*-8). What is m rounded to the nearest ten thousand?\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -438.4513157 rounded to one dp?\nAnswer: -438.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 11, r: 5}. What is prob of picking 2 c?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -1\/3  (b) -13\/7  (c) 4  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -1462198+-0.0817549\nAnswer: -1462198.0817549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-1)\/(-5))\/(1\/(-3))*5. Which is the nearest to 0.8?  (a) -1\/5  (b) t  (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -237583*u**4 - 6*u**2 + 1082?\nAnswer: -5701992*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -312 (base 13) to base 6.\nAnswer: -2230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14140?\nAnswer: 2, 5, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 17794 - 17797. Let n = -14.71 - 0.29. Which is the closest to -1?  (a) n  (b) 5  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1107667 and 1.2.\nAnswer: -1329200.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 108126 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o**5\/3 + 4876*o**4 - 17723761*o**3 - 2368603664*o**2\/3 + 807253440*o = 0 for o.\nAnswer: -45, 0, 1, 7336","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-3*17)\/(6\/(-4)). Calculate the highest common divisor of p and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27401294 to the power of 1\/4, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 f when two letters picked without replacement from {r: 11, f: 2, o: 1}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 87736*k*m*t + 2*k*m + 41*k*t - 274147*m*t - 154*m wrt k?\nAnswer: 87736*m*t + 2*m + 41*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -43*n + 708 = 4 - 70 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-36)\/11520*24)\/((-6)\/20).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -132 + 169. Suppose 10 - v = -3*x. What is the third derivative of 0*d + 0*d + 42*d**6 + 13 + x*d**2 - 14 wrt d?\nAnswer: 5040*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 u when two letters picked without replacement from {e: 4, m: 2, s: 1, u: 3}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 18.91 + -19. Let p = 0.39 + z. Suppose -3*x = 6, -2*v - 3*x = -v + 2. Which is the closest to p?  (a) 1  (b) 4\/5  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hbhb when four letters picked without replacement from {s: 3, h: 4, b: 2}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -78445.7 to the nearest 1000.\nAnswer: -78000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 17*m - 12 + 97 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c\/(c**1*c))**(-19)\/(c**(-1\/4))**(-4\/5))**(-4\/7))**(20\/9) assuming c is positive.\nAnswer: c**(-1504\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8287 is divided by 1647.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((4*sqrt(88)*1)\/(sqrt(72)*-5) - -2*(sqrt(275)*-1 + -5))*1)**2 + -5.\nAnswer: 616*sqrt(11)\/3 + 282251\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:23 AM and 6:46 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -3*(-10)\/70*(-7)\/(-1). Suppose -n*i = -8*i + 3*a + 28078, 3*i = 4*a + 16849. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-24 - (3 + -25)) + (7 - -1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 87840 to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 4495331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2 + -3000024?\nAnswer: -3000022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 187 is divided by 42*(1\/10 - 62\/(-155))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = q**2 - 33*q + 106. Calculate w(5).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000105 to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (8\/(-34))\/(-2) - (-11 + 358420\/32300)\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express f**3 + 1 + 174*f**4 + 102*f**4 + 180*f**4 in the form c*f + q*f**2 + b*f**3 + r*f**4 + t and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 65, 54, 45, 38, 33, 30, 29?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -175*i + 98. Let t be l(-3). Let y = t - 498. Is y a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Do 7\/172276 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = f + 8. Let r be g(-7). Suppose i - r - 1 = 0, -4*i = 3*o - 17. Solve -4*p + o = c, c - 3 = -3*p - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = p**2 + 45*p - 52. Calculate the lowest common multiple of t(-47) and 2.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37*c - 2*q = -41*c + 19982, -3*c = q - 14999. Does 98 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 350138781 and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 16133 and 884?\nAnswer: 64532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = h**3 - 5*h**2 - 34*h + 6. What is c(9)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6)\/(-4))\/(((-18)\/16)\/3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -3*o. Let f(p) = p**2 + 308*p - 308*p. Determine f(a(j)).\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 26 + 23. Let g = p - -18. Let c = -66.836 + g. Round c to two dps.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 15268 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is (-2)\/(-16) + (-159)\/(-8) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -14116, -14126, -14142, -14164, -14192?\n\"Answer: -3*x**2 - x - 14112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -13 or -11088\/949?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 146 + 14 = 0. Suppose 4*w - 29 + 1 = 0. Suppose -2*c + h = w. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -2*o. Let u be 8\/(-20) + 36\/15. Let g(q) be the first derivative of -3*q**2 + q - 7. What is u*g(d) - 5*c(d)?\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 32507 is divided by 8101.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 4 = 8. Suppose -3*b - 4*f - j = -2*f, 3*b - 4*f = 12. Suppose 5*m - m - 8 = b. Solve -m*u + 2 = -u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -11 + 36. Suppose -7*n - 13 + 55 = 0. Suppose 4*m + 4 = -4*u, -n*u = -m - 3*u + 15. Solve h = m*i - 8*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -s**3 - 4*s**2 + 5*s - 4. Let w(q) = -3*q + 1. Let k be w(2). Let z be c(k). Let m be (3 + 2)*(5 + z). Solve -8 = -2*y + t + 2, y - 5 = -m*t for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/((-40)\/12*15))\/(6\/10).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.2 and 3.49.\nAnswer: -0.698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide ((-3)\/(-5))\/(2\/32480)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = i**2 + i - 1. Let p(o) = 4*o**2 - 8*o - 4. Determine p(r) - 2*q(r).\nAnswer: 2*r**2 - 10*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -123103 (base 4) to base 5.\nAnswer: -23442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 792111183\/22 - 35996546. Let z = x + -8504. Let m = -9659 - -135293\/14. Calculate the common denominator of z and m.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -21*z**3 - 3*z - 2. Let n be g(-1). Calculate the remainder when (4 - 1) + -2 - -73 is divided by 211\/11 + (-4)\/n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 37 + -35.1. Let a = s - 1.4. What is the third biggest value in -0.1, -3\/8, a?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.3 and -7302.\nAnswer: -7302.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -9  (b) -0.636  (c) -2\/3  (d) 0.4  (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 6637468 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 166407?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0, -2\/11, -1, -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -1591793.8 to the nearest one hundred thousand.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-3))**(-1\/8) assuming y is positive.\nAnswer: y**(3\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from zgjjjgjzjjzzzjzjj.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -10, -2\/9, 449, -8687?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = u + u - 26. Suppose -5*y = -4*y - 14. Let g = y + u. Is 16 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 72991299 a multiple of 622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57 = 4*x + 57. Which is the nearest to x?  (a) 0.5  (b) -7  (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + 1 - (13 + (41 - -29) - 33).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -67*u + 12. Let n be j(-13). Suppose -2*c - x = c - n, 0 = -c - 2*x + 291. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(180) + sqrt(180)*1 + sqrt(180))*2)\/(2*sqrt(400)) + (-4*(sqrt(180)*-1 + 5))**2.\nAnswer: -9591*sqrt(5)\/10 + 3280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*u**5\/7 - 232*u**4\/7 - 4324*u**3\/7 - 22640*u**2\/7 + 59200*u\/7 - 32000\/7 = 0. What is u?\nAnswer: -20, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 1\/10  (b) -6  (c) -2  (d) 349\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/(z**49\/z))\/z**(-39) assuming z is positive.\nAnswer: z**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c + 2*f = -f + 51, -3*c + 51 = -f. Let z be (-3)\/(-18) + 389\/6. Let d = z + c. List the prime factors of d.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 - (-3 + (-7 - -9))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*f**3 + 2*f**2 - 2*f**2 - 2*f + 3 - 4 in the form r*f + w*f**2 + n + o*f**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -3*h**2. Let o = 62 + -60. Let a(x) = -4*x**o + 149*x - 149*x. Calculate a(i(z)).\nAnswer: -36*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.7581969 kilometers to millimeters.\nAnswer: 758196.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that -64*m**5\/3 - 3652*m**4 - 496324*m**3\/3 - 779884*m**2 - 2184892*m\/3 - 110224 = 0.\nAnswer: -83, -4, -1, -3\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 19*d**3 + 2*d**2 - 1. Let q be o(1). Suppose 0*a + 4*a - q = 0. Solve -3 = 2*j + a for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -829*p**2. Let y(v) = 43171*v. What is o(y(d))?\nAnswer: -1545036514789*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -241*f + 21375. Give m(89).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -2549, -4, 2, 0.2, -2\/7 in increasing order.\nAnswer: -2549, -4, -2\/7, 0.2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) be the second derivative of -7\/2*r**2 - 17\/6*r**3 + 0 + 11*r. What is the derivative of c(b) wrt b?\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -346 - -584. Let k = m - 216.6. Let t = -21.4000131 + k. Round t to 6 dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2997 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 5*y**2 - 9*y + 12. Let l(h) = -3*h**2 + 5*h - 6. Calculate 7*l(j) + 4*t(j).\nAnswer: -j**2 - j + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 198590796 minus 5939.32?\nAnswer: 198584856.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 321 is divided by 40.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2231 = -5*k - 111. Let i = k - 174. Calculate the remainder when i is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 167.95 and -1382154579.\nAnswer: -1382154411.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = -6*u + 12. Differentiate 1 + 8 - 1 - u + 2*b**4 wrt b.\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 121\/627354 and -131\/9702.\nAnswer: 48306258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 77 + -73. What is the least common multiple of t and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 503?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -66.13281 and -0.5.\nAnswer: 33.066405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 799610 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4820722?\nAnswer: 2, 2410361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.09 in 4, 3, 190?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.140017 and -2.\nAnswer: 0.280034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -5587.07 - -5588.07. Let b = -0.1 - -0.3. What is the nearest to 1 in 2\/27, b, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 2*w**2 + 4*w + 1 + 0 + 2*w**3 - 3*w**3. Let p be t(3). Let o = -369 + 364. What is the closest to -2\/5 in p, o, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -1  (b) 5.31  (c) 7  (d) 31  (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 235499489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 38 + -77. Let c = 38.914 + z. What is c rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1668 = 12*g - 1464. What is the remainder when g is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 11\/125 or 0?\nAnswer: 11\/125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 188047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 82*p**3 - 2*p + 1. Let m be n(1). What is the highest common factor of 3 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*x - 20*x + 11*x)*(32*x**2 + 9*x - 9*x).\nAnswer: -384*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3.43 and 0.6.\nAnswer: -2.058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -224\/11  (b) 1\/2  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10724 is divided by ((-6)\/9)\/(6 + (-10816)\/1800)?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1200) + -1 + sqrt(12).\nAnswer: -1 + 22*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q + 2 - 8 = 0. Let k be ((-3)\/(-6))\/(q*1\/18). Let g(o) = o + 2. Let d be g(-4). Sort 1, k, 2, d in ascending order.\nAnswer: d, 1, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-5 - (-3 - 7)) + -11\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 18780?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*-5*sqrt(17) + (-1*sqrt(102))\/sqrt(6) + ((sqrt(68) + 2*sqrt(68))*-3)\/((sqrt(4) - -1*sqrt(4))*-3).\nAnswer: 61*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 32 + -33 - (-11 + 3 + -5 + 0).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 53776008?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 47?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {e: 1, v: 2, g: 1, u: 1, a: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 566 is divided by 180?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (135\/(-6))\/9*88*(-11)\/(-110)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1351 - -1360. Let o(g) = -g + 15. Calculate o(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + (14 - 4) + 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 = 2*f - 6*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -195*j + 253*j - 24192 = -92*j - 234*j for j.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -18, -24, -28, -30, -30, -28, -24?\n\"Answer: d**2 - 9*d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 109\/525 and 154\/18 + (-10)\/18 + (-4169)\/525?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 4178836 and -1219?\nAnswer: 4180055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-148)\/(-2))\/(12\/44*671\/183)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -3*t**2. Let g(d) = -3*d**2 - 123. Give q(g(s)).\nAnswer: -27*s**4 - 2214*s**2 - 45387","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -110*g - 2. Let b be d(-3). Let t(z) = 118*z + 2. Let s be t(-2). Let o = b + s. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -112 - 230261145?\nAnswer: -230261260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1 - 101111000202102100?\nAnswer: -101111000202102101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 393 is divided by 81.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 205457 + -205455.9. Let p = -0.2 + 0.4. Is r bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4 - -2) + -3 - (-105 - -99).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1373.89840381 + 15.89839398. Let l = f - -1358. Round l to 6 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = q**2 + 18*q + 21. Let g be x(-17). Suppose 0 = 2*w - g*w + 158. List the prime factors of w.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -178035 at least as big as -8189551\/46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 1\/10 of a microgram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, 34, -0.1, -356.533 in decreasing order.\nAnswer: 34, 0.1, -0.1, -356.533","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 300 minutes before 6:34 AM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/(b**(-24)\/b))\/(b\/(b\/(b*b*b**38*b*b))*b))**(-45) assuming b is positive.\nAnswer: b**765","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 24*y**2 + 2*y - 1. Calculate the remainder when z(1) is divided by ((-13)\/2)\/((-1)\/2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 0 - 3)*(1520*n**2 + 2 + 8685*n**2 - 2612*n**2) to the form d + f*n**2 + r*n and give f.\nAnswer: -22779","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -23 - (-44 + (41 - -6))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -498.3  (b) -1  (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2516*z**2 - 162*z + 2518*z**2 - 327*z.\nAnswer: 2*z**2 - 489*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -62\/21 and -68\/6027?\nAnswer: 6027","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 142495?\nAnswer: 5, 28499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-28 + 10)*(-3)\/(-9). Let t(x) = 2*x**2 + 2*x - 8. Give t(h).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 675 minutes after 12:19 PM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 112 = 4*a - 0*a. Let f = -18 + a. Suppose 0 = 4*i - i + 5*z - 155, 4*z + 196 = 4*i. What is the highest common factor of i and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 50\/3 - 2\/(-6). Suppose 5*j = 3*q - 183 + 45, 39 = q - 4*j. Calculate the greatest common divisor of o and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 6642 + 2408?\nAnswer: 10151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (14\/42)\/((-65)\/39)*35?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.023531*361.\nAnswer: 8.494691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = q**2 - 2*q - 6. Is y(8) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 6675*u**2 + 118*u + 119. What is the units digit of w(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11011011100100011111000 (base 2) to base 5.\nAnswer: 3320213442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3273363776?\nAnswer: 2, 19, 2691911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -p**2 + 15*p + 426. Calculate b(-15).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = h**2 + 70*h - 99. Let l be i(-73). Which is the closest to -0.1?  (a) -2  (b) l  (c) 4  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1)\/(-2)*4\/2706. Let t = w - 4097\/51414. Let z = t - 89\/76. Is 0 != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y + 14 = -g + 8, 3*y + g = 10 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 10, 0.9, -3, 11, 0.7?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -28 + 17. Let y(o) = -5*o**2 + 11. Let h(m) = -m**2 + 2. Suppose 0 = 28*d - 29 - 27. Let t(z) = d*y(z) + u*h(z). Let b(l) = 3*l**2. Calculate b(t(v)).\nAnswer: 3*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j**3 - 68042*j**2 - 306116*j - 136048 = 0.\nAnswer: -17006, -4, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 5185.21 to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = -2*u + 24, -v = u - 13 - 6. Suppose -3*h + 3*j + 12 + 39 = 0, -25 = 5*j. What is the remainder when h is divided by (-1 + 2)*v\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 2 i when three letters picked without replacement from {e: 1, t: 1, i: 2, p: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0\/(-6) - (368\/345)\/8?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 501 minutes after 12:00 PM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0, 4\/311175, 9\/14?\nAnswer: 4\/311175","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 149 = 4*n + 157 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -7*5\/100 + 6\/10. Let r(d) = -d**2 + 16*d - 57. Let b be r(6). What is q in -1\/2*q**2 - 1\/4*q + y*q**b + 1\/2 = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -196 and 0.11?\nAnswer: -21.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -56*o**3 - o**2 + 80 wrt o?\nAnswer: -168*o**2 - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -m**2 - 45*m - 495. What is a(-20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Is 27\/(-9) - (-908)\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 0 + (-3381)\/(-5) + 0. Let n = a - 674. Let z(w) = w**3 + 17*w**2 - 24*w - 107. Let c be z(-18). Which is smaller: n or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -8*45\/(-40) - 9. Let y = -130\/1309 - 15\/77. Which is greater: j or y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 1  (b) 0.3  (c) -1\/11  (d) -84\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1082 - -1092. Solve 14*p - 8 = d*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -73*w**2 + 0*w - 731*w**2 - 749*w**2 + 0*w + 1517*w**2.\nAnswer: -36*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -x**2 - 12*x - 13. What is the remainder when 137 is divided by b(-6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qdoa when four letters picked without replacement from {q: 2, o: 4, g: 4, a: 1, t: 1, d: 3}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) be the third derivative of d**4\/24 - 3*d**3\/2 + d**2 - 45*d. Let q = 16 - 11. Suppose q*w = -p + 25, 5*p - 20 = -5*w + 5. What is o(p)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 21960.22m to micrometers.\nAnswer: 21960220000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f + 5 = -5*f. Let a(v) be the second derivative of v**4\/4 + v**3\/3 + v**2\/2 - 9*v. What is a(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -11, -139, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = l - 2. Suppose -2*u - 34 = 5*r + 107, 0 = 3*u + 5*r + 199. Let q = 52 + u. Let f(j) = -3*j + 5. Calculate q*f(i) - 17*o(i).\nAnswer: i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 8*l + 37. Calculate s(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 152981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1066611761 and 7699?\nAnswer: 7699","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 48.8 - 44.8. Which is the third biggest value?  (a) 2  (b) q  (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 6*r**2 + 4*r - r**3 + 11 + 2*r + 0*r**3 - 4. Let t be b(7). Let x be (132\/(-11) - -12)\/4. Solve -2*s + 2*c + t*c = x, 5*s = 3*c + 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 4016862, 8033699, 12050536, 16067373?\n\"Answer: 4016837*n + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 3*i**2 - 28*i + 11. Let s be q(9). What is the highest common factor of s and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 22964 + 17495. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 50203, 50202, 50201, 50200, 50199?\nAnswer: 50198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 227569063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -3*g**2 - 23192*g - 2. Let p(c) = 6*c. Determine h(p(f)).\nAnswer: -108*f**2 - 139152*f - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*s - 135 - 65. Is 18 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 49 minutes after 8:50 PM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 2 - 10*h - h)*(-4*h**2 + 5*h**2 + 3*h**2).\nAnswer: -44*h**3 + 8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 23523?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -8971 (base 10) to base 5\nAnswer: -241341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 162 and 444.\nAnswer: 11988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that 2*i**2\/11 - 24328732*i\/11 - 72986214\/11 = 0.\nAnswer: -3, 12164369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2499 and 1323.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*v**2\/15 + 54*v - 32708\/15.\nAnswer: 2*(v - 37)*(v + 442)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 2938 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 229081 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 smaller than -157\/153188?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = d - 7. Let k be j(11). What is the highest common factor of k and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3130 in -1\/5, 0.2, -0.5, -0.03, -0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(220)\/sqrt(5) - sqrt(44))\/(-2*sqrt(100) + sqrt(4))*-2.\nAnswer: -4*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -58464691\/280 + 208802. What is the common denominator of -79\/168 and a?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -13*k**2 + 69*k + 1159. Let c(n) = -7*n**2 + 35*n + 579. Let w(o) = 11*c(o) - 6*g(o). What is the first derivative of w(h) wrt h?\nAnswer: 2*h - 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 4  (b) 2.06  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -566 = 9*j - 26. Let n = 47 + j. Let r = n - -18. Solve -r*g = -0*h - 2*h - 3, 0 = -3*h - g - 13 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 1\/227, -1\/5, 1\/7 in increasing order.\nAnswer: -5, -1\/5, 1\/227, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 238 is divided by 82?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ummlb. Give prob of sequence mlu.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -2*j - 7. Let d be s(-7). Let m = -22 + d. Let z = m + 31. Calculate the remainder when 31 is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -94 - -93.96. Let c = g - 0. Let t = 4.04 + c. Sort -25, t, -0.4.\nAnswer: -25, -0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o + 14 = -15*z + 17*z, 4*o + z - 13 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 9*k**3 + 7*k**2 + 8*k - 8. Let q(h) = -h**3 - h**2 - h + 1. Suppose -85 = -4*m + 11. Let x(f) = m*q(f) + 3*a(f). Suppose x(u) = 0. Calculate u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 324 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/(u**1\/u)*u)**36*(u*(u**(-5\/4)\/u*u)\/u)**(-1\/2))**41 assuming u is positive.\nAnswer: u**(23821\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 242152.848 nanoseconds?\nAnswer: 0.000000002802695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-3)\/(-108))\/(496\/(-19840)))\/((-2)\/(-4)).\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -u + 1. Let a be x(-1). Let d(c) = -c**2 - 13*c - 13. Let t be d(-12). Sort a, 4, t, -5 in descending order.\nAnswer: 4, a, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -33.043 - -33. Let n = -35899 - -35899.043057. Let u = n + j. What is u rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 6*m = -40. Suppose 2*b + 2*b - m = 0. Suppose n + 4*z = 22, n + b*z - 14 = 4. Does 5 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 280\/600 - 4\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 3\/101350535 and -73\/78.\nAnswer: 608103210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 1, z: 1, n: 2, p: 1, r: 2, t: 1}. What is prob of sequence tpnz?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:19 PM and 11:22 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that k**2\/7 - 22*k\/7 - 1248\/7 = 0.\nAnswer: -26, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put together 5105428.48 and -1759703.\nAnswer: 3345725.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -b**3 + 8*b**2 + 12*b - 3. Let v be n(7). Let i be ((-52)\/v)\/(1\/(-15)). Let w(r) = -r**2 + 2*r. Give w(i).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1.73 - 0.23. Let p = x - 2.5. Let m(o) = -o**3 - 4*o**2 - o + 2. Let y be m(-3). What is the closest to -1\/4 in -5, p, y?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ttuuufrutbrrtfuut. What is prob of sequence fu?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4 - 367*g + 748*g - 373*g + 21*g**2 wrt g?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 25 + -400494?\nAnswer: -40046c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 693 + -692.9556. Let u = h + -0.044483. Round u to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = 18*a - 33. Give j(-7).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-48)\/(-15))\/(6\/15). Suppose f*g = 6*g + 10. Let y = 2 + -2.1. Which is the second smallest value?  (a) g  (b) y  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v - 2*z = 4, 3*v + 10*z - 12*z + 4 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0 + 0. Let r be (-192)\/(-108) + (-2)\/(-9). Let l(o) = 3*o**2 + t*o**2 + 2 - 3 - 2*o**r. Calculate l(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, 1, 0, -1, 1\/8, 8245 in ascending order.\nAnswer: -1, 0, 1\/8, 0.2, 1, 8245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 3, i: 9}. Give prob of picking 1 q and 3 i.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -448 + 5168*y**2 + 462 - 12634*y**2 wrt y.\nAnswer: -14932*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -2*s - 0*s. Suppose 0 = 2*l - 5*l - 3*v + 252, 0 = -4*l + 5*v + 354. Find the third derivative of -l*n**2 - 2*n**s + 84*n**2 - 6*n**3 wrt n.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 - (309 - 295 - (1 + -113))?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 242 + -240. Let t = -1 - -0.5. What is the second smallest value in t, -2\/7, n?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -572240, -2288722, -5149526, -9154652, -14304100, -20597870, -28035962?\nAnswer: -36618376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -f**2 - 2*f**2 + 2*f**2 - 5*f**2 + 2*f**2 + f**2 + (1 - 1 - f)*(3*f + 2 - 2).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 23*x**2 + 6*x - 8. Let h(y) = 46*y**2 + 14*y - 19. Let g(s) = -3*h(s) + 7*m(s). Let p(z) = -45*z**2 - 2. Give 5*g(b) + 3*p(b).\nAnswer: -20*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101010111111110 - -11101011110?\nAnswer: 101110101011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 12 - 8. Suppose 4*x - 8 - b = 0. Suppose 0 = x*z - 2*a - 48, 2*a + 33 + 1 = 2*z. Is z a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.019 - -0.391. Let n = 52.79 + -53. Let m = n + s. What is the nearest to 0.2 in 0.1, m, 1\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**3\/(v**(1\/8)\/v))**(-2\/3)\/(((v\/v**(-2))\/v**(-1\/12))\/(v\/v**1*v*v\/v**8)) assuming v is positive.\nAnswer: v**(-35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 159407 is divided by 272.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 97379098 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 177 is divided by 84.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(2\/3)\/z)**(38\/7)*(z*(z\/z**(1\/2))\/z)\/(z**4\/z)*((z\/z**(2\/9))**(25\/2))**(12\/5) assuming z is positive.\nAnswer: z**(799\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1350*c**2*h - 2*c*h*m**2 - 155*h - 3*m**2 wrt c?\nAnswer: 2700*c*h - 2*h*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 5*q - 11134 - 12021 = 0, 5*q + 13901 = 3*z. What are the prime factors of z?\nAnswer: 7, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/5?  (a) 17\/495  (b) 2\/13  (c) -1  (d) -1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((0\/3)\/4)\/((-8)\/2). Is b >= -21\/59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -w**3 + 43*w**2 - 121*w + 46. Let i be q(40). Solve 0 = i*l - 5*l - 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -1414562, -1414565, -1414570, -1414577?\n\"Answer: -x**2 - 1414561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 w when two letters picked without replacement from {i: 17, w: 2}.\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 4*b**2. Let i(z) = 4*z + 17*z - 2*z + 2*z. Give i(v(f)).\nAnswer: 84*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = z**2 - z + 1. Let q(w) = 2*w**2 + 2*w + 1. Determine 2*a(k) + q(k).\nAnswer: 4*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 15 = -5*c, -c = 2*l - 3*c - 66. What is the remainder when l is divided by 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 2*d + 5*s, 4*d = 5*s + 25 + 8. Calculate the remainder when d is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = v**2 + 10*v - 6. Let c(f) = -f**3 - 6*f**2 - 6*f - 6. Let m be c(-5). Let q(r) = -12*r**2. Let l be q(m). List the prime factors of d(l).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1747206.342ns in weeks?\nAnswer: 0.000000002888899375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -4\/7  (b) -0.25  (c) -1\/5  (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 7700 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9*n - 3*n + n)*(-2*n**2 + 3 + 5*n - 5*n) + (-6*n + 2*n + n)*(0 + 3*n**2 + 0).\nAnswer: -23*n**3 + 21*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.162 - -24.638. Let t = p + -29.8. Which is the second biggest value?  (a) 34\/9  (b) t  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*z - 10 = -14*z. Let k = -9 + -1. Let t be ((-2)\/(-5))\/((-2)\/k). Solve 4 = -t*x + z*h - 0, 0 = -3*h + 9 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o + 67 = 3*k - 53, k - 38 = o. Let i = 7 + 2. Calculate the remainder when k is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 99\/26429494 and 137\/504.\nAnswer: 951461784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 2073404 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 40338 and 9738?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.037489555 to five dps.\nAnswer: 0.03749","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1708471 rounded to 2 decimal places?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 - 26 = -3*w. Let j be ((-51)\/(-6))\/(2\/8). Calculate the highest common factor of w and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 268?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 3954233 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.76, 0.3, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5275381 is divided by 1011?\nAnswer: 994","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5d62ac (base 15) to base 7.\nAnswer: 53021106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 10, -495, 5, -2 in descending order.\nAnswer: 10, 5, -2, -495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 175 minutes after 3:54 AM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 116372, 116374, 116376?\n\"Answer: 2*v + 116370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13 - 1736*q + 13 + 858*q + 869*q.\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-195)\/104*2)\/(205\/164)*(-64)\/(-3).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 23 + 19 = 0. Which is the closest to 0?  (a) -5\/3  (b) p  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = g**2 + 13*g - 15. Give o(-14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -8\/9 - 7\/9. Let l = -5 - -4.93. Let r = l - -5.07. Which is the third biggest value?  (a) 1  (b) p  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) be the second derivative of w**4\/30 - 8*w**3\/15 + 16*w**2\/5 - 9*w. Let r(c) = 0. Calculate c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -42 + 1601. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eexx when four letters picked without replacement from {e: 10, x: 9}?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = h**2 + 3*h - 4. Let d be p(-3). Let y = 2 - 1. What is the tens digit of 8\/d + 22\/y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -1 + 1 - 8904738*d + 8904680*d. Let u(x) = x**2 + 0*x**2 - 2*x**2. What is i(u(k))?\nAnswer: 58*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 46 - 31. Suppose -2*t = -h - 25. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3 - (-10)\/(-12) - (-1)\/(-6). Suppose 3*s - 4*l - 38 = 0, 3*l + 43 = y*s + 17. Calculate the highest common divisor of 4 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yttg when four letters picked without replacement from {q: 1, t: 3, v: 2, g: 1, y: 5}.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 17910816?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Do -21 and -24 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 43391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = c**2 - 25*c + 26. Let y be w(26). Let x be y\/(-39)*(-2)\/(-4)*-3. Solve 0 = -2*t + a - 1, -2*t = 3*a - x*a + 7 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 2\/9 of a day?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7231.9524 + -6452.63674. Let y = 755.31566165 - m. Let r = y - -24. What is r rounded to 7 decimal places?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -3*w + 3. Determine g(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27859 = 23*j - 27560 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 7 - 8 = 0. Suppose y = 5*j - 24, -4*y - 16 = -3*j - n. Let u be -2 + y + 15\/9. Which is smaller: 2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h**5 - 54*h**4 - 195*h**3 + 540*h**2 + 3888*h + 5184 = 0. What is h?\nAnswer: -12, -4, -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-3)\/(-12))\/(5\/(-3))*4. Let z = 2.9 + -3. Which is the closest to z?  (a) -0.2  (b) i  (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4 + -1402?\nAnswer: -1410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 403?\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.061503 rounded to three decimal places?\nAnswer: 0.062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 0.09, 4\/7, 0.2, 7?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 26266*h**3 - 24715*h**2.\nAnswer: 157596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*k - 2*g + 28, -5*k + 2*g + 19 + 1 = 0. Let j be 7 + (2 - k) - 3. Suppose -s + 5*s - 224 = j. What is the highest common factor of s and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -301105*k**2*x**4 - 4*k**2*x**2 - 26848*k**2*x + 2*x**4 wrt x?\nAnswer: -7226520*k**2*x + 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5 + -3. Let f = p - -14. Let l(x) = 497 - 2*x + 479 - 975. Give l(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a - 5 = 0, -3*a - 21 = 5*c + 17. Let z = 32 + c. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 83437.97 millennia to months.\nAnswer: 1001255640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -3 - 32eb?\nAnswer: -32ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 185718962 and 148710.\nAnswer: 2785784430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 14016 + -25116. Round d to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -k**3 + 10*k**2 - 37*k + 56. Let g be s(4). Solve -412 = 5*m + 5*r - 402, 0 = g*m - 2*r + 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, -8, 6, -0.2 in descending order.\nAnswer: 6, -0.1, -0.2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 183169360?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 484 = 5*j - d, d + 0 = -4. Let x = 133 + -130. Suppose g - x*g = -j. Is g a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -4*985\/(-100) - 6\/(-10). What is the highest common factor of 8 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -19*i - 9. Let f(u) = 43174*u**2. Give w(f(n)).\nAnswer: -820306*n**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0 - 1. Let y be 20*(-3 + -1)*o. Suppose 2*m + 3*m - y = -3*c, m + 4*c + 1 = 0. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3 - 9c70?\nAnswer: -9c6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -63*z = -59 + 59. Solve z = 57*d - 31*d - 52 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 131*m + 145. List the prime factors of t(8).\nAnswer: 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that -5*r**2\/2 - 21521035*r - 92630989494245\/2 = 0.\nAnswer: -4304207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1398085 plus -0.05?\nAnswer: 1398084.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 9*y - 17. Let n(a) = -16*a + 34. Let w(c) = -4*n(c) - 7*x(c). Let h be w(14). Suppose -4 - 12 = 4*g. Sort h, 4, g, 5.\nAnswer: g, h, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -u + 0*u - 2*u + 0*u - 1. Let x be p(2). Let j = x + 23. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -6*q**3 + q**2 + 4*q - 2. Let a(o) = -o**3. Let t(j) = 5*a(j) - n(j). Suppose c = -4*y + 15, 2*y + 2*c - 14 = -2. Give t(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 63 + -40. Which is the third smallest value?  (a) 2\/5  (b) z  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + -2*(3 + sqrt(17)).\nAnswer: -2*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*m = 10 - 40 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = 5*l, -5*g - 5*l + 9*l = 0. Suppose g = -5*s + 3*s + 280. What is the greatest common divisor of s and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) be the first derivative of 4*l**3\/3 - 3*l**2\/2 + 3*l + 1. Let f be n(2). Suppose -22 = -5*y + f. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -4\/75  (b) -442  (c) -1\/6  (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -109.3993 take away -7857?\nAnswer: 7747.6007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*w**3 + 70*w**2 - 175*w + 110.\nAnswer: -5*(w - 11)*(w - 2)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 65 - (-3768 + -60)\/(-66)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c - 189 = 2*z - 167, 0 = -z + 2*c - 4. What is the closest to 0.1 in -0.3, -5, z?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 35, 126, 355, 788, 1491?\nAnswer: 2530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Do 11\/258 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-14)\/(a**(2\/19)*a)*(a**(4\/11)*a)\/a*a\/(((a**(-13\/3)*a)\/a)\/a*a*a*a*a))**(-5) assuming a is positive.\nAnswer: a**(38900\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*j - 21 + 5, 0 = -2*u + 4*j - 16. Suppose -164 = -2*c + 2*g, u = 4*c - 5*g + 6 - 329. Does 66 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1911297 divided by -16\nAnswer: 1911297\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -p**3 + 6*p**2 - 4*p - 1. Let g be k(5). Suppose 2*x = 2*q - 6, g = x + 3. Suppose -18 = -q*m - 4*j + 262, -5*j + 152 = 2*m. Does 11 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 6\/8 - (-8)\/32. Suppose 4*v - t - 4 = g, 4*t + 4 = 0. Are v and 4\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -282577*k**5 - 2*k**4 - 2*k**3 - 21854322*k**2 wrt k?\nAnswer: -16954620*k**2 - 48*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o*(o\/o**(-15))\/o*o)\/((o**(-2\/15)\/o*o*o)\/o) assuming o is positive.\nAnswer: o**(272\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 29 times 28\nAnswer: 812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -113.4339 to the nearest integer.\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + 31 = -14. Let t = g + 14. Let w be (-117)\/(-52) - 3\/(-4). Solve w*x - x - t*h - 7 = 0, -x - 10 = 2*h for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:18 AM and 5:54 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ppiuipbipopiii. What is prob of sequence uii?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 12151225 divided by 486049?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -37102 != 55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -38544 divided by 1168.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -161166*a**3*d**2*t + a**3*d**2 + a**2*d**2*t + 21*a*d**2*t + 30*a*t wrt a.\nAnswer: -966996*d**2*t + 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2 + 0)*(5*c - 4*c - 5*c) + 3*c + 0*c - c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -14 - -17. Suppose -c*s + 30 = 3*t, 4*s - 4*t - 18 = 22. Let d = -20 + 42. What is the lowest common multiple of d and s?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5 - -2) + -3 + 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 74, -2, -5\/2 in increasing order.\nAnswer: -5\/2, -2, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 4011 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -14*j - 21. Let m(l) = -15*l - 20. Let g(i) = 2*m(i) - 3*q(i). What is the tens digit of g(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 585781 rounded to the nearest 1000?\nAnswer: 586000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 286 + -291. Let q(a) = a**3 + 6*a**2 + 2*a + 4. What is q(d)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6306.5 - -6307. Let o = 0.9 - -0.1. Sort b, 0.4, o, 1\/4 in decreasing order.\nAnswer: o, b, 0.4, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -48*t**2 + 18*t**2 + 27*t**2 - 17*t**3.\nAnswer: -17*t**3 - 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48 = 6*a - 48. Solve a = 2*n - 0*n + 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 26*d**2 + 21. Let v(g) = -53*g**2 - 42. Let s(r) = 11*b(r) + 6*v(r). Find the first derivative of s(n) wrt n.\nAnswer: -64*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 5*t + 17 = -0*w, 5*w - 3 = 3*t. Suppose -y = s, -3*s - 10 = w*y - 5*y. Suppose y*x + z - 2 = 0, -2*x - z - 6 = -4*x. Solve x = -3*h - 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 832558675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -0.8, 0, 1\/2, -0.6, -46, -4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 2 - (4 + -3 - -2) - -5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 75*y**2 + 2*y - 1. Calculate the remainder when g(1) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 0*k = -4*r + 1240, -3*r + 929 = 2*k. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 45*k + 55*k - 10 - 27*k**3 - 85*k - 18*k to the form x*k**3 + i*k + o*k**2 + t and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z - 190 = -4*o, -4*z + 773654 = -3*o + 773533 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14197 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 11*g - 17*g + 15*g + (2*g - 2*g + g)*(-3 + 2 - 3).\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 15, k: 3, v: 2}. Give prob of sequence ook.\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 36605 - 13050 = 0. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*((-10)\/15)\/((-28)\/6)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1063762203 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 24693202601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 2*r = -126. What are the prime factors of r?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) be the third derivative of -4*h**5\/15 - h**4\/12 - h**3\/3 - 2*h**2 - 23*h - 27. Let n(t) = -111*t**2 - 15*t - 15. Determine 2*n(k) - 15*u(k).\nAnswer: 18*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*v - 12*v = 0. Let o be 11 + (3 - (v - -1)). Suppose 16*g = o*g + 3453. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 14007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*s + 2*s + g + 6, -4*s = -5*g - 24. Solve 0 = 4*w - s*w + 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -p - 3 + 3*p - 5204*p**2 + 5143*p**2 + 3.\nAnswer: -61*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 176 minutes before 12:58 PM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 1377195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2329658\/117 + 19912. What is the common denominator of 59\/12 and o?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1599093890?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gbbo when four letters picked without replacement from {g: 1, z: 2, b: 3, o: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1538520567?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 16398.7308ms to days.\nAnswer: 0.000189800125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 391814793 to the nearest integer?\nAnswer: 19794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 8816*t - 1128458. Calculate o(128).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.0146 - 3129072.\nAnswer: -3129072.0146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 101690 and 1077914.\nAnswer: 5389570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**3\/h*h)\/h)\/((h**(-3\/2)\/h)\/h*h)*(h*h\/(h*h**(-2\/13)\/h))\/(h*h\/(h*h**(-1\/5))*h)*(h\/h**0*h\/(h*h**(-2\/13)\/h))**(-6) assuming h is positive.\nAnswer: h**(-1101\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = 3*o - 124. Suppose 2*i + 11 = 3*i + 2*r, o = 2*i + r. Let m = i + -11. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p - 21 = -1071*t + 1070*t, 7 = 5*p - 3*t for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21997?\nAnswer: 21997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*w - 7*w + 16. Let n = w + 3. Let q = -439 - -448. Solve 0*h = -3*h + q, n = 2*c + 3*h for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + r + 75 = 5*q, 0 = 4*r. What is the remainder when 118 is divided by -60*((-51)\/q + 3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) 5  (b) -0.2  (c) 147.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5053371*f + 2945716 wrt f.\nAnswer: -5053371","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -725305202*a + 593753865.\nAnswer: -725305202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 2*w + 3. Let n be h(4). Determine t so that -6*t**4 + 11*t**3 - 15*t**5 - n*t**3 = 0.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l*l\/(l*(l**(-1\/6)\/l)\/l)*l*l*l**(-5\/6)*l*l)\/((l**(-1\/4)*l)\/l)**(-1\/4))**(3\/7) assuming l is positive.\nAnswer: l**(349\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:39 AM and 5:53 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 46025643259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -38, -44, -50, -56, -62, -68?\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 3 + 1)*((-59*y**2 - 8*y**2 + 14*y**2)*(2*y**3 - 2*y**2 + 2*y**2) - 2*y**5 - 2*y**5 + 5*y**5).\nAnswer: -420*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/(-5)*(-10)\/66.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2  (b) 1\/8  (c) 0  (d) 1  (e) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -10*z - 120. Let d be n(-16). Suppose 4*y - 12 = 0, 5*k - d = k - 4*y. Calculate the greatest common factor of k and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is g in -2*g**2\/3 - 345098*g\/3 + 1380424\/3 = 0?\nAnswer: -172553, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48 = -4*t + 272. What is the first derivative of 44*o**2 - 34 + t - 49 wrt o?\nAnswer: 88*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 55863 - 55860. Let l(c) = -19*c**2 + 17*c + 2. Let y(p) = 9*p**2 - 8*p - 1. Let s(x) = -6*l(x) - 13*y(x). Give s(r).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -665 + 664 - (-2 - (-27 - -1))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/15, -0.1, 3\/5, -2 in ascending order.\nAnswer: -2, -2\/15, -0.1, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0004010046 to 6 dps.\nAnswer: 0.000401","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2\/19  (b) -2215.2  (c) 4.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -3\/7  (b) 3  (c) 4  (d) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -z - 7. Let j be s(-7). Suppose g + 3*m - 8 = -0*m, -5*g + 3*m + 4 = j. Suppose -g*c + 0*c + 20 = 0. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve v - 45 = -3*l, 65*v - 31*v + 101 = 5*l + 27*v for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 453  (b) 3\/5  (c) -0.1  (d) 0  (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 382715355 to the power of 1\/3, to the nearest integer?\nAnswer: 726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:02 PM and 1:16 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(152)*1*-1*-2)\/(2*sqrt(16)\/(sqrt(2)*4))*-1 + 1.\nAnswer: -4*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -125735*i**4 - 4*i - 26992 wrt i?\nAnswer: -1508820*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - m - 4*m = -323573, 4*l - 5*m - 323603 = 0. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) be the third derivative of f**3\/6 - 10*f**2. Suppose 2 + 2 = -4*y. Let p(g) = 2*g - 5. Give y*p(d) - 4*o(d).\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*n - 3*n = -31. Let s = -7\/9 + 44\/45. Which is smaller: n or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2\/(-1 + 5\/3). Let k be (-6)\/48 + 57\/8. Suppose -3 = k*s - 3. Solve -c = -4*t + 8, -4*c - 13 = o*t - s for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (26\/(-26))\/((-17)\/((-102)\/(-27)))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 40\/(-14) - 2\/14?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 265483.43 to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -4*b + 2*n - 3, -4*n = -3*b - 4. Let t be (4 - -6277 - b\/2) + 2. Let y = t + -37847\/6. Find the common denominator of y and -43\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -55*t - 2. Let j(n) = 57*n + 3. Let z(i) = 2*j(i) + 3*w(i). Let k(d) = -3*d. Give z(k(u)).\nAnswer: 153*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*h - 270 = 18*h + 1098 + 502 for h.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u\/(((u*u**(3\/8)*u)\/u)\/u))\/u**(-6))\/((u*u\/(u\/(u*u**(-5\/2)\/u))*u*u)\/((u**(-1\/6)\/u)\/u*u)))**(-7\/10) assuming u is positive.\nAnswer: u**(-833\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3958265*z**3 + 12366105 with respect to z.\nAnswer: -11874795*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00006434 rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = z**3 - 16*z**2 - 2*z + 34. Let x be i(16). Solve -x*w + 1 = 7 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 612 - 64*t - 612 + (2*t + 3*t - 6*t)*(-1 - 1 + 1) - t + 0*t + 2*t.\nAnswer: -62*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -70*u**5 + 2*u**4 + 83*u**5 - 91*u**5 - 153*u**5 - 9*u**2 + 41*u wrt u.\nAnswer: -13860*u**2 + 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-17*x - 83*x + 17*x)*(6 + 4*x**4 + 3*x**3 - 5*x**3 - 2*x**4).\nAnswer: -166*x**5 + 166*x**4 - 498*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2282081825.\nAnswer: 5, 91283273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -29 + 95. Find the third derivative of 37 - f**5 - 5 - 2*f**4 - 32 - r*f**2 wrt f.\nAnswer: -60*f**2 - 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -8 + 8. Suppose v = 5*k - 84 + 34. What is the lowest common multiple of 18 and k?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -g**2 + 43*g + 240. Let m be q(-5). Let f(y) be the third derivative of 0 - 1\/24*y**4 + 0*y**3 - 11*y**2 + m*y. Let l(j) = j. Calculate l(f(d)).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-2)\/18)\/((-2)\/4). Suppose -23 = -11*w + 21. Suppose 3*x + 15 = 3*m, -m + 3*m = -w*x + 10. Which is the closest to 0?  (a) y  (b) 3  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 451 (base 16) to base 7.\nAnswer: 3136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2078*n**3 + 2086*n**3 - 4171*n**3.\nAnswer: -7*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in 1, 119, 3\/5, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -631*x = -755*x. Let a(s) = -s**2 - s - 55. Determine a(x).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -42165 - -0.2.\nAnswer: -42164.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -7*c + 248. Let t be q(35). Solve 2 - 3 = s - 2*x, -t = 3*s - 2*x for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -3*n - 7 + 0*n + 2 - 2. Give y(5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 620 minutes after 8:15 AM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 525 minutes before 5:30 PM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) be the first derivative of 3*n**2\/2 - 18*n - 10. Let v be w(7). Factor -1\/5 + 1\/5*x**4 + 0*x**2 + 2\/5*x - 2\/5*x**v.\nAnswer: (x - 1)**3*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.11 in -3\/5, 0.07, 17.5, 1\/4?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 254 = d + 2*t, 5*t + 0*t = 5*d - 1345. Let u = d + -260. Solve -g + 2*g = -3*a - 9, 4 = 2*a + u*g for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000200259 rounded to 5 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = -2*m - 2*r, m - r = 21 - 18 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.18 - -0.2.\nAnswer: -0.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1342 divided by 3?\nAnswer: 1342\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -u**3 + u**2 + u + 1. Let c be l(2). Which is greater: c or -2\/85?\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21514 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 615\/1241 or -1?\nAnswer: 615\/1241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 81498156?\nAnswer: 2, 3, 6791513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h**(-1\/4)\/h)\/h**(2\/11))\/((h**(-1\/6)*h)\/h**(1\/8)))**(-2\/5) assuming h is positive.\nAnswer: h**(113\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:18 PM and 7:42 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 792 = -14*d + 10*d. Let c = -90 - d. Calculate the greatest common factor of 12 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.1986 - 0.0880232.\nAnswer: -0.2866232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9375?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(832) + sqrt(832)*2*-1 + (sqrt(832) + -1)*-2 + (sqrt(832)*-1 + -5)*6)**2.\nAnswer: 4032*sqrt(13) + 68176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 10\/24 + 9\/108. Let j(h) be the first derivative of 9 - 1\/3*h**3 + 0*h - t*h**2. Factor j(o).\nAnswer: -o*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 37 + 0*g**3 + 5*g**3 - 47 wrt g.\nAnswer: 15*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -806 divided by -239.\nAnswer: 806\/239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2.398 * -3.\nAnswer: -7.194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fhfafaaf. Give prob of sequence hfff.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (2 - (-4)\/(-3))*3. Let z(h) = 0*h**k + 3*h**2 + 0*h**2. Let l(b) = -b**2. Calculate l(z(x)).\nAnswer: -9*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3137991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 179182968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/30*(-16)\/24*50\/20?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1092405307 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 3. Suppose 4*z + 3*r + 35 = 0, 708*z - 711*z - r - 10 = 0. Let o(n) = -n + 1 - 2 + 2*n. Give z*o(t) - s(t).\nAnswer: t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = -z + g, -4*g - 24 = 3*z - z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from flldldfdfdfllf. What is prob of sequence ll?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -4, 1203, 3\/4, 5, 1\/7?\nAnswer: 1203","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 53169591.\nAnswer: 3, 17, 409, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 62 + -82. Let g = 3191.809 - 3171.8. Let z = s + g. What is z rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = -4*c - 2*f - 196, 0 = -f. Let j = -1 - c. What is the common denominator of 298\/(-48) + 6\/j and 47\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -50 + 152\/3. Let s be (1 - -1)*(-1)\/(-1). Factor -p - 2\/3*i**s - 4\/3*i.\nAnswer: -2*(i + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -2757, -2759, -2761, -2763, -2765?\n\"Answer: -2*w - 2755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2174243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-59 + 4 - 49)*(4*g - 4*g - 2*g) + (-3 + 3 - 1)*(-3*g + g + 5*g) + g - 3*g + 0*g + (2 + 2 - 5)*(10*g - 6*g + 2*g) to the form f*g + o and give f.\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9 - 7 + 0 + 25)*(9*i + 8*i - 8*i) - 1 + i + 1.\nAnswer: 244*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.07834 and 0.04?\nAnswer: 0.03834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + 160176103302?\nAnswer: 160176103296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of -13 + (-19 - (11 + -6561))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7 + 4. Let y = 15\/14 - 4\/7. Which is the nearest to -0.1?  (a) h  (b) y  (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (2\/(-28))\/((-784)\/(-10976)). Which is the second smallest value?  (a) 0.3  (b) q  (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -256*s**2 + 132*s**2 + 116*s**2 + 118*s**2 - 112*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 52 + 23. Let g = b - 74.9999024. Round g to 6 dps.\nAnswer: 0.000098","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -668810 divided by 5.\nAnswer: -133762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 299358 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 13 and -0.02?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 34886 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express ((2 + 1 - 1)*(11 - 4 - 8 - 4*s + (-8 + 6 + 0)*(s + s + 0*s)) + 6*s + s - s)*(-4 + 7 - 4) as u*s + r and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:10 PM and 12:33 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wfrbbsrrfswsmwbbsrsw. Give prob of picking 2 r.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1830970 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5236977?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = r + 4*r. Suppose -1 = f + 2*f - 5*c, r = -c + 5. Calculate the remainder when 22 is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 806 a factor of 1520116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 20245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 8792.7g?\nAnswer: 8792700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 25 - -86?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((sqrt(3) - sqrt(24)\/sqrt(8))*-5)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-12)\/o)**(-16))**30 assuming o is positive.\nAnswer: o**6240","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 65\/12 and -87\/326.\nAnswer: 1956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-144)\/40*25\/(-15).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by 11.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 minutes before 5:54 AM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3652 and 69538064.\nAnswer: 764918704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.058102 and -2.\nAnswer: 0.116204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-868)\/(-775))\/((-96)\/(-60)).\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1392\/1628 - 1 - (-79)\/869?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/4*2 - 281. Let z be ((-20)\/4)\/10*8. What are the prime factors of z\/6 + v\/(-15)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.512024 to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 35*w**3 + w**2 - 5*w + 3. Let q be d(1). What is the greatest common divisor of 1394 and q?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -93 - -48. Let y = -48 - a. Sort y, 0, -11 in ascending order.\nAnswer: -11, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -360 = 484007*j - 484025*j for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) be the third derivative of 3\/4*f**4 + 0*f - 8*f**2 + 0 - 3\/2*f**3. Let n be b(4). Calculate the highest common factor of 9 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-3)\/2 + (-35)\/(-10). Suppose 2 - 1 = g - 2*t, 3*g = -t + 17. Sort g, p, -1 in decreasing order.\nAnswer: g, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 6*o**3 - 5. Let k(r) = -r**3 + 1. Let a = -3 - -5. Suppose 5*p = 4*z + 15, 0 = a*z - 4*z - 3*p - 35. Calculate z*k(q) - 2*f(q).\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 962233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + z = 6, 2*d = -0*d - 2*z + 2. Suppose -c - d*p + 22 = 0, p - 10 = 5*c - 4*p. Suppose -36 = c*t - 6*t. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.17812345 to 2 decimal places.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 11937 = -3*i, -3*l + i = -2905 - 9012. Is l a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -111011101100 + -10110101111100?\nAnswer: -11110001101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-53*w - 23*w + 26*w + (0 - 1 + 0)*(0*w - 4*w + 2*w))*(13 - 6 + 1) to the form b*w + s and give b.\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1260.7 - -1260.6. What is the second smallest value in 1, 156, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -2*y**2 - 4*y + 5. Let a be d(2). Let p = a - -20. Suppose 5*r - p*r = -16. What is the remainder when 11 is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -9*j**3 + 100*j**2 - 6045 wrt j.\nAnswer: -27*j**2 + 200*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 17528, 43010, 68492, 93974, 119456, 144938?\nAnswer: 170420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = -5*m + 164. Calculate the greatest common factor of 7 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 80\/117 and 16 + 10 + 154362\/(-5915).\nAnswer: 4095","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 98\/(-56)*-5*3\/21. Let 5\/2*u**3 - 5\/4*u**4 + b*u - 1\/4 + 1\/4*u**5 - 5\/2*u**2 = 0. Calculate u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7216940 a multiple of 145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 2*b**3 + 3*b**2 + 3*b. Let v be q(-2). Let z be 2\/5 - 36\/v. Suppose 2*s = -a + 2*a - 19, z*a + s = 85. Is 13 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*y + 5*y + 7*y**2)*(-12*y - 5*y + 6*y).\nAnswer: -77*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3334 - -3339. Solve -3*c + 2*t = -5, -r*c + 51*t = 50*t + 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20996748413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2 + 4. Suppose 42 = i*m - 0*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 82, 79, 54, -5, -110, -273, -506, -821?\nAnswer: -1230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8208531 by -912059.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 58 divided by 22752\nAnswer: 29\/11376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -v**2. Let k(t) = -3*t**2 + 2*t - 3. Let p(m) = k(m) - 6*y(m). What is the tens digit of p(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -2 - -42?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) -1  (b) 643  (c) 31  (d) -2  (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -s**3 + 5*s**2 - 3*s - 4. Let z be x(4). Suppose z = j + 4*r - 47, -4*r - 8 = -0*r. What is the remainder when j is divided by (3\/(-6))\/(7\/(-266))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -22 + 1100?\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 727 and 3088274917?\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -3527.85 to the nearest one hundred.\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 16 = 56. What are the prime factors of ((-15)\/j)\/(-3)*-158?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 - -2 - 2) + (12 - 13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*w + 13 = 4*w + 2*g - g, 3*w - 291 = -16*g for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-32)\/(-24)*1\/(-40). Let i = -3\/10 + d. Which is bigger: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 34?  (a) -4  (b) 3  (c) -32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29 - 41 = -3*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 3b (base 13) to base 10\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 649, 1261, 1889, 2533, 3193, 3869, 4561?\nAnswer: 5269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -59*s**3 + 22*s**3 + 17*s**3 + 18*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r - 5*m - 12 = 0, 32*m - 37*m = 20 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 108 and 2366766?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y, 1 c, and 2 t when four letters picked without replacement from xyxycoyytofytxt.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -25 + 27. Let g be u*-4*20\/(-32). Sort -2, g, 1, -7 in increasing order.\nAnswer: -7, -2, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -340*a*b - 3*a*o**2 + a*o + b*o**2 - b - 27*o**2 wrt o.\nAnswer: -6*a + 2*b - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -2*c**2 - 2*c. Let g(d) = -46*d**2 + 11*d + 2. Let u(b) = g(b) + 4*n(b). Calculate u(-1).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 462720.3 rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 4574 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1056 + -359. Let w = 1000 - s. Suppose -2*p + w = 2*t + 3*p, 3*p = -2*t + 301. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 11 + 9 + (-3)\/((-15)\/(-110)). What is the smallest value in 1\/5, 4, 5, -63\/17, k?\nAnswer: -63\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -52*l**3 + 1211 wrt l?\nAnswer: -156*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -4, 4, 5\/16, 4\/7, 0.3?\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 4*y**2 - 9*y - 14. Let v(i) = i**3 - 13*i**2 - i + 11. Let a be v(13). What is the least common multiple of x(a) and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 257639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -730*k**2 - 5 + 5.\nAnswer: -730*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -l - 1, -4*t + 2*l + 3*l = -213. Suppose 3*o + 3*i = 51, i + i - t = -3*o. What is the hundreds digit of (o\/4*10)\/(2\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2*2\/(-8)*0. Let b be (-31)\/2*(a - 2). Suppose -3*i = 2*i + 4*f - b, 5*i - f - 11 = 0. Is i greater than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = q - 14. Let i be z(6). Let h = -161 - -161.5. Which is the third biggest value?  (a) i  (b) 0.3  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 368939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -81, -280, -579, -960, -1405?\n\"Answer: 3*a**3 - 68*a**2 - 16*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -y**3 + y**2 - y. Let g(c) = 2*c + 25. Let k be g(-13). Let p(w) = -9*w**2 - 10*w + 3. Let q(n) = k*d(n) + p(n). List the prime factors of q(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-10)\/(-2)*(48\/30 + 0). Let h = 1 + 3. Suppose -h*d = d - 200. What is the greatest common factor of d and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ttybyyytyyaabtb. Give prob of picking 1 b and 3 y.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, -0.05, -0.08, -1, -3, -4 in decreasing order.\nAnswer: -0.05, -0.08, -1, -3, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = 3 + 6. Solve r*c = -0*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -543, -641, -739?\n\"Answer: -98*v - 445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2512)\/3297)\/(12\/7)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = z**3 - 11*z**2 - 4*z - 15. What is s(10)?\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by -199.\nAnswer: -4\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) be the first derivative of -17*h**2\/2 + 1780. Let j(g) = 3*g - 4*g - 2*g - 2*g. Calculate j(f(d)).\nAnswer: 85*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -1\/14, 380, -7, -0.2, 0.01 in descending order.\nAnswer: 380, 0.01, -1\/14, -0.2, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q - 4*q - 4 = 0, -15 = -c - 2*q. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7*1)\/(-19 - -20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + (-4)\/(-9)*(-357)\/34?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (3\/(-4))\/((-6)\/(-4)). Let o = -7 - -10. Let n = 25\/54 - 1\/54. Which is the nearest to -1?  (a) o  (b) n  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -6*x + 70. Calculate o(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -3*q**2 - 910*q - 7085. Calculate i(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(76)*2*3 + -1 + sqrt(76) + -1)*6)**2*-4.\nAnswer: -2147328 + 32256*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -4*x - 117. What is t(-14)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.081 times 0.5?\nAnswer: -0.0405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Total of 114.98251 and -1.\nAnswer: 113.98251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 3a8c + 107?\nAnswer: 3b95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from niirnrnndriiis. What is prob of sequence rni?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -53106934*l**3 - 85*l**2 - 22489*l?\nAnswer: -318641604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 5490 and 630.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ddobbbbooo. Give prob of picking 1 b and 3 o.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 2, p: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1.18 + 0.02. Let y = 4.2 - g. What is the closest to -2 in -2\/15, y, 2\/5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1334942.82 - -833.\nAnswer: -1334109.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is (447230\/315)\/(5 + (-258)\/54) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-3)\/m*m*m)**(-35)\/((m*m**(-1\/26)*m)\/(m**4\/m)) assuming m is positive.\nAnswer: m**(1847\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-12)\/14*(-63)\/6. Solve 2*g + g - f = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -u**2 - 5*u - 4. Let d be a(-4). Suppose d = -6*k + 15391 + 11135. Let x = 79715\/18 - k. What is the common denominator of x and 93\/22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5*b + 2*b - 4*b)*(128 - 128 - 22*b)*(0 + 5 - 3)*(-553 + 4*b**2 - 556 + 1107 + 59*b) to the form u*b**4 + t*b**3 + q*b**2 + i + d*b and give t.\nAnswer: -7788","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00100957 rounded to 4 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 80940 bigger than 80947?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 10764 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 5 = p, -2*l - 2*p = -1 - 1. Suppose -i + 3 = -0*i. Solve 3*m - q - l*q = 19, 0 = 5*m - i*q - 5 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 1442507, 2885014, 4327531, 5770058, 7212595, 8655142?\n\"Answer: 5*j**2 + 1442492*j + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (50*f - 165*f - 44*f)*(44 + 42 - 124).\nAnswer: 6042*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -3 - 3*g + 6*g + g + 2*g. Let h be s(12). Suppose 5*j = 194 - h. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1247 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5572082 is divided by 3595?\nAnswer: 3427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (z - 5*z + 2*z)*(193*z**3 + 1524*z**3 - 20*z**3 - 35637*z + 35637*z).\nAnswer: -3394*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) be the first derivative of 0*i - 22\/9*i**3 + 1\/9*i**6 - 1\/2*i**4 + 2\/5*i**5 + 37 - 2*i**2. Determine k so that f(k) = 0.\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) be the second derivative of o**8\/3360 + o**7\/1260 - o**4\/12 - o. Let y(j) be the third derivative of r(j). What is f in y(f) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -24  (b) -0.047  (c) -0.3  (d) -4\/47  (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2090 and 369189?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 20 + 30. What is the remainder when b is divided by 17\/((-1 + -1)\/(-2))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2242966.27 - -2242887.6699279. Let d = u + 78.6. What is d rounded to 6 decimal places?\nAnswer: -0.000072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = z**3 + 11*z**2 + 4. Let r be b(-11). Let n be (-1)\/(-4) - (-15)\/r. Suppose -55 = -n*g + 101. What are the prime factors of g?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.3 and 0.4432181315266.\nAnswer: 0.1432181315266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -62327.9 to the nearest 100.\nAnswer: -62300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 2*j**2 + 13*j - 1. Calculate p(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z and 1 e when three letters picked without replacement from eeeeeezezeeeze.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 61\/3 and 17\/89.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in fifty-one fifths of a milligram?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 87 and 1770073203.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4 - (3 - 3)) + -9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -106900000 to the nearest 1000000.\nAnswer: -107000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand -127*y**3 + 127*y**3 - 2*y**2 + 241*y**5 - 2*y**5 - y**2 + y**2 + (-2 + 0 + 0)*(-y**5 + 3*y**5 + 0*y**5) + 3*y - 3*y + y**5.\nAnswer: 236*y**5 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -4990*z**2 - 494*z + 5. Let j(y) = 2495*y**2 + 239*y - 3. Let p(g) = -11*j(g) - 6*r(g). What is the second derivative of p(a) wrt a?\nAnswer: 4990","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -v**3 - 8*v**2 + 10*v + 13. Let o be s(-9). Suppose -4*z = o*i - 60, 7*z - 53 = -3*i + 2*z. What is the remainder when 31 is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*t - 5*j + 45, t + 5*j = 6*t + 5. Suppose 2*g - 4*h = g + 10, -4*g - 2*h = -t. Suppose 1 = g*a - 5. Solve 2 - 11 = a*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 235 + 420 = q, 8*q - 1504 = 4*d. What is the remainder when 1349 is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1100 - 101101000?\nAnswer: -101011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 83 + -83. Let v(y) be the second derivative of y + 0*y**3 - 1\/10*y**5 - 1\/6*y**4 + 0*y**2 + q. Find the third derivative of v(t) wrt t.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*v + 2*k + 6, 6*v + 20 = v - 2*k. Let f be (6\/15)\/(v\/(-4)). What is the closest to 5 in 4, f, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-4 - (-4 - -3) - -3) + 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2415 = 5*y + 5*n, 4*y + 5*n = -309 + 2236. Calculate the highest common factor of y and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r + 6 = 3*r. Suppose 5*d = -q + 1500, -r*d - 5*q - 928 = -5*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 1772, 3532, 5294, 7058?\n\"Answer: o**2 + 1757*o + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 13768 + -302809\/22. Let v be 16\/(-24) - 2\/((-18)\/1005). Find the common denominator of -14 + 14 + (v\/(-10))\/3 and a.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19224 = -220*w + 1822*w for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-18)\/(-1)*2\/(-4). List the prime factors of (-1 + 21\/g)*(-29 - 1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 903144353?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -49162*c**3 + 41*c**2 - 6*c - 21152080 wrt c?\nAnswer: -147486*c**2 + 82*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -2, 5, -6 in descending order.\nAnswer: 5, 1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve h = 8, 204*a + h + 12 = 199*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -15*d**4 - 2*d**3 + 19*d**2 + 15*d + 9. Let s(n) = -7*n**4 - n**3 + 9*n**2 + 7*n + 4. Let k(p) = -13*s(p) + 6*w(p). Factor k(o).\nAnswer: (o - 1)**2*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.19 - 0.29. What is the nearest to h in 0, -2, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 3*u + 30 = 0, -32*u - 26 = -5*m - 34*u. Solve -j = 0, -5*g + 4 = m*j - 11 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -152 - -432. Suppose -16*j + 12*j + w = 0. Is 22 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 2*q + 1)*(55*q**3 - q - 1 + 2 - 54*q**3).\nAnswer: -2*q**4 + 2*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 68816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -b**3*m - 15*b**3 - 4*b**2*m**2 + 2486*m**2 - m - 3 wrt b?\nAnswer: -3*b**2*m - 45*b**2 - 8*b*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -295624491 + 295624160.999759. Let x = 330 + g. What is x rounded to five decimal places?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/5143 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v*v**(-7\/6))\/v**(-1\/10))\/(v**14*v*v*v**(-2\/23)))**(-39) assuming v is positive.\nAnswer: v**(71669\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**14*n*n\/(n*n*(n\/(n**(-17)\/n*n)*n)\/n*n)*n*n)**(-28))**(-1\/87) assuming n is positive.\nAnswer: n**(-28\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/4 in -0.2, 1\/4, -0.5, -7.5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -2*q - 2. Let j(o) = -23*o**2 + 10*o + 12. Calculate -j(x) - 4*m(x).\nAnswer: 23*x**2 - 2*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 35*y**2. Let v be 1*4 + (3 - 3). Suppose -o + v = -0*o, -p = o - 16. Calculate the remainder when d(1) is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -61\/246 and -48\/451.\nAnswer: 2706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = n**3 + 8*n**2 - 3*n. What are the prime factors of d(-6)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2990821?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 2 w when three letters picked without replacement from wwwnnn.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = 27 + 21. Suppose 0 = -4*h - 2*n + 94, 4*h - 2*n + r = 5*h. What is the remainder when h is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -4*p**2 + 190*p - 21. Let m(j) = -j**2 + 2*j - 4. Calculate -6*m(g) + z(g).\nAnswer: 2*g**2 + 178*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 112 and 2632.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 73, 335, 771, 1381, 2165?\nAnswer: 3123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 19\/((138\/1173 + 32\/306)*18\/(-8))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -17 + 22. Sort 0, f, 3 in descending order.\nAnswer: f, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15428?\nAnswer: 2, 7, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) be the first derivative of -3\/5*s**5 + 14*s - 4\/7*s**7 + 0*s**6 + 0*s**2 + 0*s**4 - 1\/3*s**3 - 9. Find the third derivative of d(o) wrt o.\nAnswer: -480*o**3 - 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25220 - 12*z**2 + 24*z**2 + 3*z**3 - 21*z**2 + 9*z**2 - 25220.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Product of -101197093 and -2.\nAnswer: 202394186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 2, -312, 3 in decreasing order.\nAnswer: 3, 2, 1, -312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -51 - -4?\nAnswer: -4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let 32\/3*i**2 + 0 + 2\/3*i**4 + 0*i + 34\/3*i**3 = 0. Calculate i.\nAnswer: -16, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h*h**(-4))\/(h*h**(-2\/17)))**(-2\/39))**16 assuming h is positive.\nAnswer: h**(704\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -114, -195, -290, -405, -546?\nAnswer: -719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(((sqrt(1573)*2 + 3)**2 - -4*(-2*sqrt(1573))**2) + -1).\nAnswer: 528*sqrt(13) + 125872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = -5*d + 13, -3*d + 3 = 2*i + 8. Let h = -0.7 + 3.7. Let p = h + -1. Which is the second biggest value?  (a) -0.3  (b) p  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 4*j**3 + 8*j**2 + 5*j + 7. Let c(l) = 9*l**3 + 17*l**2 + 9*l + 15. Suppose 11 = 5*y - 4. Let b(w) = y*c(w) - 7*v(w). Does 17 divide b(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 26*l**3 - 67*l**3 + 2*l - l. Is 31 a factor of q(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8741999513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*b**3 + 910*b**2.\nAnswer: -5*b**2*(b - 182)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7260353 is divided by 340?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 2 - 4)*((1 + 1 + 0)*(4*o - o - o) + 2*o - 4*o - o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = a + 1. Let g be o(-4). Let j be (-54)\/(-4)*(-2)\/g. Suppose j*h = 8*h + 37. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/l**(-4\/3))\/(l\/(l**(-9)*l)))\/((l\/((l*(l*l**(6\/7))\/l*l)\/l))\/l**(2\/3)) assuming l is positive.\nAnswer: l**(-36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.3, 5, -457?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -18619\/22 + 1693\/2. Which is the closest to -31?  (a) -2\/45  (b) 2\/3  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 112 and 13896.\nAnswer: 194544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 173407606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 9.895776 decades?\nAnswer: 98.95776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) be the first derivative of 2 + 0*z - 1\/4*z**2 + 7\/12*z**3. Solve p(o) = 0.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 67\/1720 and 91\/1875?\nAnswer: 645000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -3, -226, -1, 16 in increasing order.\nAnswer: -226, -5, -3, -1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:17 AM and 6:51 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve g = 101*g + 900 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5076\/7 + 723. Suppose 0 = b - 5*b. Find the common denominator of (-88)\/(-276) - (2 + b)\/2 and v.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3096105604?\nAnswer: 2, 4259, 181739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.2 or -623932?\nAnswer: -623932","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (120\/(-4))\/(3\/4)*-1. Let j be ((-2)\/((-16)\/s))\/(1 - 0). Solve 0 = -9*x + 13 + j for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10435235 plus 138.46?\nAnswer: -10435096.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -28 + 0.051?\nAnswer: -27.949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 196*h**2*w**2 - 4*h*w**2 - 61*h wrt h.\nAnswer: 392*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:40 AM and 12:37 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 33258?\nAnswer: 2, 3, 23, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d*d*d**(2\/17)*d*(d**1\/d)\/d*(d**(1\/4))**(-40) assuming d is positive.\nAnswer: d**(-134\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -95194*w - 1 - 95197*w - 35*w**2 + 285584*w - 95193*w.\nAnswer: -35*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:45 AM and 5:34 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-8)\/(-6))\/((-2)\/(-3)). Let q(j) = -h - j - 3 + 3. What is q(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) be the second derivative of 4\/5*x**6 + 31*x + 0*x**2 + 2\/21*x**7 + 0 + 0*x**3 + 0*x**4 + x**5. Factor g(c).\nAnswer: 4*c**3*(c + 1)*(c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-460)\/1150*((-3)\/(-2))\/(6\/20)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 186 a factor of 251839268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 70 = -5*l, 5*n + 2*l + 3 - 59 = 0. Let p be 7\/(-4) - n\/(-16). Put p, -2, 2 in increasing order.\nAnswer: -2, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1850011\/102 + 18137. Find the common denominator of 41\/30 and v.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -44*s**2 - 445*s - 50. Let t be p(-10). Solve t = -55*o + 37 - 477 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 819663\/44 - 18631. Let m = 6655\/8 - 835. Find the common denominator of m and z.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14 - o - 27 - 172.\nAnswer: -o - 185","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) be the third derivative of s**6\/90 - 5*s**3\/3 - 15*s**2. Let v(j) be the first derivative of q(j). Let m(x) = -2*x. What is m(v(f))?\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1 - 0. Let m = t + 2. Let u = m + -1. Which is the smallest value?  (a) -5  (b) u  (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -7  (b) -299  (c) -0.5  (d) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 1 + 5)*(1041*v + 108*v**2 - 1041*v) + (1 + v - 1)*(-4*v + 2*v + v) + v - v - v**2 to h*v + c*v**2 + u and give c.\nAnswer: 754","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = i**2 + 4*i - 4. Let t be h(2). Solve -2*b + 2*o = t, 5*o = 3*b - 0*b + 20 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 2 = 8. Let c be ((-2)\/(-6))\/(9\/54). What is the second derivative of a*s**c + s - 2*s**2 - 2*s**4 wrt s?\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6310?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6730 + 3349 - 116*s + 3396)*(-1 + 1 - 2*s) to the form q + w*s**2 + d*s and give w.\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*c**4 - 35*c**3 - 40*c**2.\nAnswer: 5*c**2*(c - 8)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbooooooo. Give prob of sequence obbb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (3 + (-21)\/6)*-4. Suppose -b + x*b - 24 = 0. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 698344?\nAnswer: 2, 87293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.061 * 17.\nAnswer: -1.037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 28650397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 33, 65, 107, 165, 245, 353?\nAnswer: 495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let -205*z**3 - 10870*z**2 + 208835*z + 5100 = 0. What is z?\nAnswer: -68, -1\/41, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-10)\/(-15))\/((-20)\/18) + 1. Let p = -5.1 + 5. Let w = p - 0.1. Which is the smallest value?  (a) w  (b) 6\/5  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 3 = -4*f, 1 = -n - 2. Suppose 0 = -0*s + f*s + 6. Is (-1035)\/(-55) + s\/(-11) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -7648 + 1230?\nAnswer: -6418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 16 and 16466?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - (11 + 19 + -11 + -27 - -7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 5*s - 5*k = -251, 4*s = 4*k + 224. Let t(n) = 6 + n**2 - n + 9 + 0*n. Calculate the remainder when s is divided by t(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is k in -4*k**3\/7 - 2*k**2 + 8*k\/7 = 0?\nAnswer: -4, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -132649, -132653, -132659, -132667, -132677, -132689, -132703?\n\"Answer: -c**2 - c - 132647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (29 - 11) + -8 + 5.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + -5*((sqrt(3) - -1*sqrt(3)*6)*6)**2 - (1 + ((sqrt(3) + sqrt(108) + -1)**2 - (sqrt(3) - -1*sqrt(147))**2)).\nAnswer: -26415 + 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 520 minutes after 8:10 PM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 2183*b - 41487. Give y(19).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r**3 + 19*r**2 + r - 19 = 0. What is r?\nAnswer: -1, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + sqrt(108) - (sqrt(21)\/sqrt(7) + 2)**2.\nAnswer: -10 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-16 + 15)*(-1 + 1 - 0). Which is smaller: -14\/23 or r?\nAnswer: -14\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 447, -333, -1113, -1893?\nAnswer: -2673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 404, 379, 428, 587, 892, 1379?\nAnswer: 2084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 99903.\nAnswer: 3, 33301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -87 - 192. Let n be 2\/(-12) + q\/(-54). Find the third derivative of -2*b**2 + b**n + 2*b**5 + 2*b**2 + 9*b**2 wrt b.\nAnswer: 180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -0.03  (b) 2\/11  (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*u + 0 = 30. Suppose 0 = -5*j - 314 - 1396. Let m = 1389\/4 + j. Is m > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -4, -343, 143 in ascending order.\nAnswer: -343, -4, 3, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*j - 14*j - 3*j - 6*j - 19.\nAnswer: -26*j - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*-3*(sqrt(19) + (-1 + sqrt(19))**2) - (((1 + sqrt(2299) - sqrt(2299)) + sqrt(2299))*-4)**2.\nAnswer: -37160 - 334*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (6 - 13) + 506\/(-22) + 35. Determine c so that -2\/5*c**2 - 2\/5*c**a + 2\/5*c**4 + 2*c**3 - 8\/5 - 16\/5*c = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = -5*f - 4*m, 3107 = -2*f - m + 3108 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is j in -4*j**3\/3 - 12244*j**2\/3 - 12207136*j\/3 - 1328922032 = 0?\nAnswer: -1329, -866","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 8*(4 - 3) - 1. Let p = -439 - -438. Sort 3, w, 2, p in ascending order.\nAnswer: p, 2, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -80345640 divided by 1335.\nAnswer: -60184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 2\/9, -146, -3, -2 in decreasing order.\nAnswer: 2\/9, -2, -3, -5, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = w**2 - 5*w - 5. Let j = 43 - 38. What is v(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 995 is divided by 89.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 36912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-15)\/((-4)\/16*132\/(-44))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 6, a: 2, m: 1, i: 1, w: 3, y: 2}. Give prob of sequence ywai.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -202121002021012 + -11?\nAnswer: -202121002021100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 64, 50, 36, 22, 8, -6?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 144861619871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 3\/934211?\nAnswer: 3\/934211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.636406ml in litres?\nAnswer: 0.005636406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2.6 - -0.4. Let f = -71 + 68. Which is the closest to 0.1?  (a) f  (b) 0.5  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 270 minutes after 6:32 AM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = y**3 + 14*y**2 + 26*y - 101. Calculate c(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 282 or 3661\/13?\nAnswer: 3661\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14\/63*18*2\/28?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 168633 divided by 1?\nAnswer: 168633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 8\/10*5\/2. Suppose -14 + 4 = -2*p - w*f, p = 3*f + 5. Solve -2*k + p*c = 21, 5*k + 0*k - 5*c + 15 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = 2*a - 2*w + 11, 0 = a + 5*w - 11. Let z be (14\/a)\/(4\/(-8)). What are the prime factors of z\/((-1)\/1 + 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 57187769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -89.9 + 86.9. Sort -1\/4, 116, r in ascending order.\nAnswer: r, -1\/4, 116","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.18*-0.04152.\nAnswer: -0.0074736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 71945605 to the power of 1\/2, to the nearest integer?\nAnswer: 8482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 3*m**3 - 22*m**2 + 7*m - 6. Calculate z(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18 - 12 - 11*u**3 - 6.\nAnswer: -11*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 5*n = -8, 12*i - 9*i + n = 24. Let m(z) = 43 - i*z**2 + 3*z**2 - 43 + 2*z**2. Let g(w) = 11*w**2 + 3*w. Calculate g(m(v)).\nAnswer: 99*v**4 - 9*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find i such that i**4\/10 + i**3\/5 + i**2\/10 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9 + l + 9 + 1 + 0.\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) be the third derivative of g**6\/60 + g**5\/60 - g**3\/6 - 7*g**2 + 384. Suppose -3*i = -2*i - 6. Let j be (4\/i)\/((-6)\/(-9)). What is r(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 463192350.18 + 1.\nAnswer: 463192351.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 0*z - 2*s - 425 = 0, 3 = -3*s. Let h = z + 218. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.02354 times -10738?\nAnswer: -252.77252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 75399*g**3 - 71188 with respect to g.\nAnswer: 226197*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.10682 - -0.10682. Sort -10, z, -0.55, 2\/9 in increasing order.\nAnswer: -10, -0.55, z, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 118834*38.\nAnswer: 4515692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -8*j - 8. Let p(d) = 4 + 6*d - 3*d - d**2 - 9*d. Let v be p(-8). Let b be f(v). Calculate the greatest common divisor of b and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -h**3 - 9*h**2 - 10*h - 11. Let b be n(-8). Suppose -b*c - 135 - 95 = 0. Is c\/(-3)*(-12)\/(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 7*x - 117. Calculate r(14).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -42868, -40525, -38182?\nAnswer: -35839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2827*n**2 + 18753*n - 18753*n.\nAnswer: 2827*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 37 + 3. Let p = v - 37. Suppose -p*b = 5*c - 29 + 3, 0 = -5*b - 4*c + 39. Solve 2*g = b*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 3, t: 2, i: 3}. What is prob of picking 1 w and 1 i?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c = -l + 112 - 213, 4*l - 6*c = 172 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 428008181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:10 AM and 12:23 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.4  (b) 6  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 2247977005?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3340 + 3527.3. Let o = -187 + b. Sort o, 5, 2\/5, 3 in decreasing order.\nAnswer: 5, 3, 2\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 991110463 to the power of 1\/2, to the nearest integer?\nAnswer: 31482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:17 AM and 1:42 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 173 - 169. Let y(c) = 10*c + 4. What are the prime factors of y(i)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19398?\nAnswer: 2, 3, 53, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = r**3 - 10*r**2 + 5*r + 32. List the prime factors of i(11).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -43*p = 5*g - 41*p - 12, 4*g + 5*p = -4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that 3*b**2 + 2859*b = 0.\nAnswer: -953, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = 5, -a - 31 = -3*d - 8. Let r be 2\/(-3) - a\/(-42). Let v = -4899\/7780 - 265\/1556. What is the third biggest value in -4, v, r, 2\/21?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1295, -1268, -1241, -1214, -1187?\nAnswer: -1160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 77048 and 40.\nAnswer: 385240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = r**2 - 5*r + 4. Let a be q(8). Let h = 42 - a. Suppose -n = m - 44 - 2, 0 = -2*n + 4*m + 62. Calculate the remainder when n is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0011761875 rounded to 6 decimal places?\nAnswer: 0.001176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2)\/(-20)*2258\/12. Let o be (-12)\/9 + (-76)\/(-5) + 3. Let q = s - o. Find the common denominator of q and 53\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:05 AM and 8:19 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1249668718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange a**3 - 1121*a - 1195*a + 2683*a - 3*a**4 - 2*a**2 - a**3 to q*a**3 + t*a**2 + l*a**4 + f*a + i and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t*t**7*t*t)\/t**19*(t\/(((((((t*(t\/(t**(3\/4)*t))\/t)\/t)\/t)\/t)\/t)\/t)\/t)*t)\/(t*t**(-22)\/t))**42 assuming t is positive.\nAnswer: t**(1911\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o*o**8)**(-4))**26)**(-19\/2) assuming o is positive.\nAnswer: o**8892","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(7) + (-1*sqrt(252))**2 + sqrt(28)\/(sqrt(12)\/sqrt(3)).\nAnswer: 2*sqrt(7) + 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 17398?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 275 - 272. Suppose n*z = -6*z + 243. Solve z = -5*i - 3*k, 3*k + 27 - 6 = -3*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -2*l**3 - 3*l**2 - 3*l + 7. Let w(v) = v**3 + v**2 + v - 1. Let q(g) = m(g) + 3*w(g). Let k be q(0). Suppose 64 = k*a - 2*a. Is 8 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 123, 118, 111, 102, 91, 78, 63?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -j - 20. Let v be h(-18). Let g be 1 + 416\/(-140) - v. Which is greater: 1 or g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16\/(576\/468) + (-2 - (-276)\/(-20))?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a**3\/9 - 3186436*a**2\/9 + 31864210*a\/9 - 79660400\/9 = 0. Calculate a.\nAnswer: 5, 1593208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2\/135 - 587\/135. Find the common denominator of 55\/9 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 613988 not equal to -0.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*i**3 - 996*i**2 - 57512*i + 119040.\nAnswer: -4*(i - 2)*(i + 96)*(i + 155)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) be the third derivative of 5*n**4\/24 - 67*n**2. Let j(c) = 7*c + 4. Let d(t) = -15*t - 9. Let z(m) = -4*d(m) - 9*j(m). What is x(z(r))?\nAnswer: -15*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (206\/2)\/(7\/(-35)) - 2. Let j = 754 + m. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 72\/5 of a litre?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add together 447 and 0.42.\nAnswer: 447.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 6\/24 - 122\/8. Let r be (2 + -8)*35\/q. Let i = r - 9. Put -4, i, -3 in ascending order.\nAnswer: -4, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 56556525 (base 7) in base 16?\nAnswer: 4b1a73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -138, -78, 22, 162, 342?\nAnswer: 562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -30, 2, 0 in ascending order.\nAnswer: -30, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3265?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 4141421 - 3?\nAnswer: 4141413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 38*g - 15. Let m be q(-8). Let s = 505 + m. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2352\/(-1792)*(-320)\/(-12)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + 1 + -51 + 54.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -100 = -2*u + 4*n, -26 = -2*u + n + 80. Suppose -7*w + u = -219. Suppose -4*s = 5*r - 204 - w, 12 = 4*r. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -10453254 divided by 3?\nAnswer: -3484418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 4672434*c*l - 20725932*c wrt l?\nAnswer: 4672434*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-9)\/60)\/(90*(-9)\/(-432))?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l*(l\/(l\/(l\/l**1)*l))\/l)\/l)**27\/(l**(1\/4)*l*l)**40)\/(l**(3\/10)*l*l**(2\/3)*((l*l*l\/(l**(1\/3)*l))\/l)**(-4\/5)) assuming l is positive.\nAnswer: l**(-4363\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 2 = 6*g - g, 4*w = -5*g - 6. Suppose -g*q = -3*q - 3*p + 14, -p = -5*q + 6. Let h = q + 5. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 21*i - 18*i + 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2 or 1289\/5448?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2606 + 2602. Sort -1, -4\/5, 8, p.\nAnswer: p, -1, -4\/5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 0*v + v**2 - 3*v - 4 + 0*v**2. Suppose 0*o = -4*o. Let u(p) = 3*p + o - 3 + p**2 + 0 - 5*p. Give -3*n(r) + 4*u(r).\nAnswer: r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -171 - -695. Let p = w - 524. Let o(m) = -m**2 + 8*m - 7. Let q be o(5). Which is the closest to p?  (a) -4  (b) 1  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 28*p + 11*p**2 - 28*p + (-1 - 2 + 0)*(-p**2 + 4*p**2 - 2*p**2) - p**2 + 5*p**2 - 3*p**2 to q + f*p**2 + c*p and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -12 - -14. Let s(b) = -b + 1. Let d(p) = -p + 1. Determine n*d(o) - 3*s(o).\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 3*(-2)\/(-15)*(-2)\/(-2)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -k**3 + 4*k**2 - 6*k + 4. Let x be n(-5). Suppose 4*r - 105 = x. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 6*m**2 - 21*m - 5. Let i be z(4). Solve i - 4 = -f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 179 a factor of 145628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 68329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13 (base 10) to base 8.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 17 + -18. Let w = c + 4. Suppose 7*z = w*z - 8. Sort -1, 5, z in ascending order.\nAnswer: z, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3945247326303119\/66429732402456885 - 1\/160566498685. Let o = 2\/15323 - c. Find the common denominator of 23\/75 and o.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8759 (base 14) in base 11?\nAnswer: 16646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 50971 - 50971.0000049898. What is x rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 403 - 402. Solve -3*m - o = -1 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 3*d - 3*g - 54 = 0, 2*d - 3 = -5*g. Let c be 6\/27 - 29\/9. Let v = c + d. Calculate the lowest common multiple of v and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 114039 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:06 PM and 5:21 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 286 + -275. Let c = q - -98. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = w. Let d be f(-4). Let a be (d + (-25)\/(-6))\/(-1). Which is smaller: a or 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -384*l + 97*l - 6018 = -346*l for l.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -26590*d**3 - 30903*d.\nAnswer: -159540*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) be the first derivative of 2*c**3\/3 - c**2\/2 + 129*c + 79. Let t(p) = -2*p. Calculate t(d(i)).\nAnswer: -4*i**2 + 2*i - 258","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) be the first derivative of -2*c**6\/3 + 4*c**5\/5 + 14*c**4 + 104*c**3\/3 + 38*c**2 + 20*c + 150. What is m in r(m) = 0?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 152 divide 80104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.105 - -0.255. Let w = 0.56 - m. Which is the smallest value?  (a) 1\/8  (b) -2  (c) 0.15  (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 235 from 659295855.\nAnswer: 659295620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Let a be -1*(5 + -1 + -5). Suppose 3*i - a = -4. Sort 5, i, -5 in ascending order.\nAnswer: -5, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 0.3, -0.1, -0.02, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -200 - -5?\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -21*i**2 + 1955*i + 253*i**2 - 1955*i to the form a*i**2 + m*i + c and give a.\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) be the first derivative of -8*m**3\/3 + m**2\/2 - m + 89. Give j(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4.962 - -5. Let d = g + -9.038. Which is smaller: d or 0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 252 and 2667.\nAnswer: 672084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = j. Let a(u) = 1300957202*u. Determine a(r(v)).\nAnswer: 1300957202*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 5257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -15522.9 - -15523. Which is greater: i or -56.77?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7 + 4 - (1 - -5) - -9\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2*12\/(-18)*27\/(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -266737068 - 25.5?\nAnswer: -266737093.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) be the first derivative of 23*g**6\/60 - g**5\/30 + 19*g**2\/2 + 17. Let n(u) be the second derivative of o(u). Find the third derivative of n(t) wrt t.\nAnswer: 276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 9*k - 11. Let r be 3 - 1\/2*-4. Suppose -5*o - r = -s + 27, 26 = -4*o + s. Let z(i) = -4*i + 5. What is o*a(h) - 13*z(h)?\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 1\/4 of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 3*v**3 - 148*v**2 + 1520*v + 5575. Calculate c(21).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.4 - 0.47. Let j = -15 + 14.57. Let x = j + s. Which is the second biggest value?  (a) -5  (b) -3  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l = -3*y + 4*l + 1901, l = y - 633. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*o - 31*o + 1118 = 0. Suppose -62334 = -o*t + 52040. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.3  (b) -215.71  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -5*q - 1. Let d(z) = -6*z - 1. Let a(h) = -2*c(h) + 2*d(h). Let r(f) = 5885*f. What is r(a(x))?\nAnswer: -11770*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5.05 + -3.8. Let x = -1.199 + u. What is x rounded to three dps?\nAnswer: 0.051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (506 - 270 - 375)*((2*g + 2 - 2)*(-1 + 1 + 1) - 3*g - 3*g + 5*g + 8*g - 3*g - g - g + 5*g - 2*g).\nAnswer: -973*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -23 + ((-8)\/14)\/(32\/(-224)). Let j(x) = -x**3 - 6*x**2 - 8*x - 7. Let t be j(-5). Let w = t - g. Calculate the greatest common factor of 3 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w**2 - 6*w + 108 = 0. What is w?\nAnswer: -9, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -53310055 (base 6) to base 10\nAnswer: -1564307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*v**3 + v**3 - v**3)*(150*v + 14 - 152*v + 5 + (35*v - 13*v + 9*v)*(4 + 1 - 6) + 3*v - 3*v + v).\nAnswer: 64*v**4 - 38*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4*((-6)\/(-8))\/(406\/116)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 38\/40862271 and 38\/20030525?\nAnswer: 1021556775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is one sixteenth of a milligram in nanograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 169 + 139 = 152*p + 4. Solve -12\/5*j**p + 3\/5*j**3 + 0 + 0*j = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 703, 5436, 18251, 43186, 84279?\n\"Answer: 673*d**3 + 3*d**2 + 13*d + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 9*p**4 + 8*p + 2. Let x(w) = -2 + 3 + 9*w**4 + 8*w + 2. Let k(y) = -3*t(y) + 2*x(y). What is the second derivative of k(c) wrt c?\nAnswer: -108*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -10 + 10 - 8*i**5 - 2*i**2 + (3*i**2 - 2*i**2 - 3*i**2)*(2*i**3 + 2*i**3 - 3*i**3).\nAnswer: -10*i**5 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 218893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8679516?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -4*(2 + -1) + (-58)\/(-16)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -24 * 276\nAnswer: -6624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = j - 10. Determine c(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wx when two letters picked without replacement from wwwwdwmwxwwdmx?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = o**2 - 2*o - 3. Let a be q(4). Suppose -4*y + 4232 = -h - 3*h, -a*y + 1038 = -h. Let k = h + 8517\/8. What is the common denominator of k and 79\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/17?  (a) 3  (b) 0  (c) -5  (d) -1  (e) -0.41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -50.27 - -53.2. Let q = -3 + m. Let y = 1829 - 1828.9. Is y smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -o**2 - 54*o + 933. Let v(b) = 4*b - 4. Calculate the remainder when y(12) is divided by v(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = i**3 + 8*i**2 - 672*i + 108. Give t(22).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:45 AM and 5:35 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1\/3, -4, 0.2, 12?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 - (16 - 8)) + 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 5879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 216243 to the power of 1\/2, to the nearest integer?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.58 + 0.617. Let y = t + 32.963. Let z = y + -32.99842. What is z rounded to four decimal places?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -j + 5*j + u - 50, 4*u = 2*j - 16. Suppose -2*c = -4*m - 4, 3*c - 2*m - 6 = -4*m. What is the remainder when j is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 2*c**3 + 8*c**2 - 7*c - 1. Calculate z(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 3 - 4)*(-2 - 1 + 4)*(3*l - l + 11*l).\nAnswer: 13*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5056706?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1)\/2 - ((-1320)\/(-16) - 7). Let w = -87 - g. Let j(h) = -h**3 - 12*h**2 - 12*h - 13. Give j(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 264605779 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*3491.\nAnswer: -3491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 16 divided by 494586\nAnswer: 8\/247293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 32\/1500*-26*(-210)\/4368.\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -4*v, -r + v = -3698 - 1380. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of (-2018334)\/(-3354) + 6\/26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.4 + 0.2. Let c = -0.3 + h. Let k = -10.5 - -8.5. What is the second biggest value in c, k, 0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 13*y - 3. Let f(q) = -25*q + 5. Let z(k) = -5*a(k) - 3*f(k). Let u(i) = 247*i + 987. Let s be u(-4). Give z(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -544*p + 2911. Is g(-33) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -m**2 + 5*m + 18. Let c be i(7). Let a(y) = -3*y - 5. Calculate a(c).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -2 - (-5 + (-2 - 0)). Suppose 10*z - 5*z - 3*q = 209, h*z - 2*q = 206. What is the greatest common factor of 8 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5922.5807 rounded to the nearest ten?\nAnswer: -5920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2050 and 8570?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-13 + 70 - 22) + 6 - 82.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d**2 + d - 13. Let r be v(-9). Let n = -50 + r. Solve 7*x - 5 = h + n*x, h - 2*x - 15 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 4*p - 10. Let a be d(4). Let f(g) = -14*g**3 - 17*g**2 - 17*g - 17. Let q(z) = 5*z**3 + 6*z**2 + 6*z + 6. Give a*f(w) + 17*q(w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 136.94177 rounded to one decimal place?\nAnswer: 136.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1931 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = q**3 + 13*q**2 + 1. Let x be t(-13). Let b(y) be the first derivative of 62*y**3\/3 - y + 2. Let a be b(x). What is a rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eight thirds of a week in minutes?\nAnswer: 26880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 4 - 4 + (-2 + 5 - 5)*(1 + 0 + 1))*(4*t**2 - 3*t**2 - 5*t**2).\nAnswer: 28*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l, 1 i, and 1 r when three letters picked without replacement from rilrirrlr.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yn when two letters picked without replacement from {b: 8, n: 1, y: 6, w: 1}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 78 = -11*f + 17*f. Suppose -f*i = -10*i - 48. Suppose -8*j = 8*j + i. Is -2\/177 not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -697, -5646, -19085, -45256, -88401, -152762, -242581?\nAnswer: -362100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 26986614181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4.5932*-0.04.\nAnswer: 0.183728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**3*a)\/(a**(1\/5)\/a))**(13\/4) assuming a is positive.\nAnswer: a**(78\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-67410)\/(-20) + 0 + 2. Let p = v + -2697. Let q = p + -723. Find the common denominator of 89\/30 and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/3*(-6)\/(-4). Let m = -98 + 397\/4. What is the nearest to -0.1 in m, -1\/4, r?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -178448 - 4*n + 178448 - 18*n.\nAnswer: -22*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*k + 156281*u - 156279*u - 43, -k - 4*u = -23 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -147*k + 1502 - 4998 = 37*k for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -25 - -22 - (-6 - -8 - (1 - -14))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 23677812 by -2.\nAnswer: -11838906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -i**2 + i**2 + 2*i**2 + (5 + 4 - 4)*(-i - 6*i + 0*i)*(18*i + 2*i - 5 - 39*i) as p*i + h*i**2 + o and give p.\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(2\/5)*j)\/(j\/j**28))**(2\/7) assuming j is positive.\nAnswer: j**(284\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/6, 3, -1, -2\/9 in descending order.\nAnswer: 3, -1\/6, -2\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 6, t: 12}. What is prob of sequence mt?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 5*k - 1. Let v(u) = 17*u - 3. Let m(q) = -6*q + 1. Let c(t) = -12*m(t) - 4*v(t). Calculate j(c(r)).\nAnswer: 20*r - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 472032 and 9.\nAnswer: 472032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (12 + (-58)\/6)*9. Solve t*u - 32*u = 35*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -97 + 102. Suppose 3*o + 206 = -4*v + 5*v, -210 = -v + z*o. Is 25 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 501290?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -24027530 to the nearest ten thousand.\nAnswer: -24030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -h**3 - 9*h**2 - 7*h + 9. Let g be j(-8). Suppose g = 6*i - 41. Calculate the remainder when 26 is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 3  (b) -5  (c) -5775\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/10*20\/(-12)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -3 + (-6)\/(-2) + 3. Suppose 0 = k + 3*j - 5, 3*j - 11 = -y*k - 2*j. List the prime factors of (8 - 2)\/k + 11.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-six fifths of a millennium in years?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = p. Let d(s) = -7*s**2 - 26 + 26. Calculate l(d(v)).\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24*l**3 + 26*l**3 - 78*l**3 + 23*l**3.\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1.7, 3, 0, 2\/7, -0.2 in descending order.\nAnswer: 3, 1.7, 2\/7, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -1 + 0 - (-74 - -69)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 9239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -3157884360 rounded to the nearest 100000?\nAnswer: -3157900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 464145818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 18728754?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -486 - -325. Let m = -40 - j. Suppose 0*f - 4*f - u = -501, f - 4*u = m. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*b = -8*b + 30. Let a(h) = 2*h + 0*h + 3*h + 1 - b*h**2. Determine a(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3473 - 3440. Put 1\/24, q, 0 in descending order.\nAnswer: q, 1\/24, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -499 - -402 - (-2 + -4 + -35).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2\/(-6)*0 + 5. Let s be (-3)\/(-9)*(d - -1). Suppose s*q - 80000 = q. Round q to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4 + 7. Let a(f) be the first derivative of -f**3\/3 + 3*f**2\/2 + 3. Determine a(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(1\/3))**(-2\/3)\/(((i*i*i\/(i\/(i*i**(-2\/27)\/i))*i)\/i)\/i**(-2\/7)) assuming i is positive.\nAnswer: i**(-460\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*m**5\/7 + 8626*m**4\/7 + 527118*m**3\/7 - 25874*m**2\/7 - 1564120*m\/7 + 1054248\/7 = 0. What is m?\nAnswer: -4251, -62, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y and 2 e when four letters picked without replacement from yyeeeeeee.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*g**2\/5 - 22376*g\/5 - 31292836\/5.\nAnswer: -4*(g + 2797)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + 2 - (10 - 12 - -5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kn when two letters picked without replacement from {k: 1, n: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 968*c - 1126*c - 3634 for c.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 119798327 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -9*z**3 - 3*z**2 - 4*z - 6. Let j be i(-3). Suppose 0 = 10*m - 7*m - j. List the prime factors of m.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 3*b + 0 + 1 - 8. Let a be l(3). Suppose 0 = a*t + t - 153. List the prime factors of t.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:55 PM and 10:43 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.4 - 4.4. What is the third smallest value in n, 0.1, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*s + 3*y + 94, y = s - 4 - 19. Suppose -s*a + 66472 = 2697. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 2 z when three letters picked without replacement from {o: 5, z: 7, j: 4}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) be the third derivative of -23*g**6\/720 - g**4\/12 - 40*g**2. Let f(y) be the second derivative of i(y). Let d(q) = 2*q + 120 + 117 - 237. Give d(f(b)).\nAnswer: -46*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide 22248 by 412.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2.5 + 2. Suppose 2*a - 33 = 4*a + 5*j, 5*a + 51 = -2*j. What is the third biggest value in a, m, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0005319669 rounded to 6 decimal places?\nAnswer: 0.000532","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-25)\/(30\/6)*(-3)\/(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43044 = -5*n + c, -108*c + 110*c - 12 = 0. Does 35 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -5*t**2 - t + 4. Let l be (0\/1)\/2 - 4. Let u(m) = 2*m**2 - 810 + 2*m**2 - 793 + 1600. Determine l*u(c) - 3*g(c).\nAnswer: -c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen quarters of a week in hours?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i + 5*i = -140. Let u be 8\/(-28) + (-868008)\/i. Round u to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*n - 6 = -10*n. Suppose 4520032 = n*l - l. Suppose -6*p - 4519980 = 4*r - p, 4*p - l = 2*r. Round r to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eebvvvvvvbeib. What is prob of picking 1 v and 2 b?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -1117*h - 4467. What is o(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 149\/2373756 and 61\/8703772?\nAnswer: 26111316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 2*-65.18\nAnswer: -130.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 209 = -205, x - 677765 = 2*l. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 9616 - 9617. Which is the second smallest value?  (a) -24.7  (b) 0.4  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (1\/2)\/(2\/28). Suppose -2*a + m = -3*a + 2, 4*m = -5*a + 9. Suppose -x = -i - a. What is the remainder when 23 is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*-2974.\nAnswer: 5948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*w**2 + 4*w**2 + 2*w**2 + (-2*w - 5 + 5)*(w - 3*w + 0*w))*(-w - 4*w + 3*w)*(-511 + 1260 - 406).\nAnswer: -3430*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 3354, 3358, 3364, 3372, 3382?\n\"Answer: r**2 + r + 3352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-69)\/(-253))\/(((-9)\/(-2))\/(-3))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 2 * -75\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (5\/(-15))\/((728\/120 - 6)\/(-1)). Solve 3*l = w*o + 1 - 19, 3*o - 4*l = 13 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -65291.95337 + 65300. Let v = d - 0.01863. Let i = 8 - v. What is i rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3352305 or 3352350?\nAnswer: 3352305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 22050 a multiple of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 4 + 0)*(-15 + 25 + 25)*(-2 - 2*g + 2)*(3 - 6 + 4) to l + u*g and give u.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5?  (a) -0.1  (b) 10\/3  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 68 + -113. Let w be (-4)\/(-18) + 10\/x. Let m(j) = -j + 179 - 56 + j**2 - 53 - 58. What is m(w)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 - (-2 + (3 - 2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -797.4 - -0.047997.\nAnswer: -797.352003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -98456 take away 0.1756?\nAnswer: -98456.1756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 27\/3140698 and 99\/1998626.\nAnswer: 21984886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 192*w - 192*w + 26*w**2 + 3.\nAnswer: 26*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -101285, -101213, -101093, -100925, -100709, -100445, -100133?\nAnswer: -99773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*p**3 - 13584*p**2 - 24475002*p - 4710704884.\nAnswer: -2*(p + 218)*(p + 3287)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = 5, -4*z - 11286 = -4*g + 2*g. Is (-3)\/(-9) + z\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a microsecond in nanoseconds?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 47 divide 5123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*v**3 + 7639625*v**2 + 2918197326840*v + 2918189687220.\nAnswer: 5*(v + 1)*(v + 763962)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5346 - -64085\/12. Let u = -258 + 72. Calculate the common denominator of i and u\/(-4) - (-1 + 2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -v**3 + 708*v**2 - 166725*v + 13061250.\nAnswer: -(v - 258)*(v - 225)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -279, -314, -373, -456, -563?\nAnswer: -694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -2*f**2 - 56*f + 60. Let d be b(-29). Solve -2 = -2*r - c - 3, -d = -2*c for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -10, -37, -132, -331, -670, -1185?\n\"Answer: -6*k**3 + 2*k**2 + 9*k - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -199*o*r**3 + 950*o*r**2 - 2*o - 16786084*r**3 with respect to o.\nAnswer: -199*r**3 + 950*r**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 707 minutes before 5:25 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -350 + 13?\nAnswer: -33a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l**4\/7 + 3260*l**3\/7 - 26184*l**2\/7 + 5616*l = 0. Calculate l.\nAnswer: -1638, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -303575, -298244, -292915, -287588, -282263, -276940?\n\"Answer: -j**2 + 5334*j - 308908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 85\/14 and 6831\/736 + (-100)\/10.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 84193 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (12\/15)\/(7\/35). Suppose -h = 5*u + 15, 2*u = p*h - 0*u - 6. Suppose -2*b - 6*t = -7*t - 46, -t - 2 = h. What is the remainder when 42 is divided by b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 67  (b) -2\/113  (c) 0.54  (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -13313513 (base 9) to base 15\nAnswer: -899b89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l + 16 = 68*a - 73*a, -5*l = -2*a - 18 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) be the first derivative of -d**4\/16 + 7*d**3\/4 - 15*d**2 + 25*d - 73. Factor k(g).\nAnswer: -(g - 10)**2*(g - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4 + -10. Let i = g - -1. Let d(t) = -t**2 - 6*t + 1. Is 2 a factor of d(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*m - 4 - 0, 0 = -2*o - m + 2. Let f(u) = -6*u**3 - u**2 - u. Let r = 0 + -1. Let a be f(r). Solve -2*n + 5*j - 2 = -a*n, -2*j = n - o for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in six fifths of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 2*x + 0 + 0 - 4 - 6*x. Let c(z) be the second derivative of -z**3\/6 - z**2\/2 + z. Calculate -2*c(m) + i(m).\nAnswer: -2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(((sqrt(2299) + -1)*2 - sqrt(2299))**2 + -3).\nAnswer: -9200 + 176*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1860*l + 1989*l - 5*l)*(-1 + 2*l + 3 - 4*l).\nAnswer: -7688*l**2 + 7688*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2646?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 515 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 5 and -204.\nAnswer: -1020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -m - 5. Let a be i(-4). Let w be (2*2)\/(a\/(-4)). Suppose -560*q + 24 = -558*q + 4*n, -90 = -5*q + 5*n. What is the greatest common factor of q and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -138.6472 + 140.7. What is y rounded to 1 decimal place?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3749 and 621.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 29 - 30. What is the nearest to 2 in p, 1\/8, -1\/6?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 2*c**2 + 2*c**2 + 1 + 7*c**3 + 4 - 8*c. Let q(w) = 3*w**3 + 2*w**2 - 4*w + 3. Let j(r) = 3*g(r) - 5*q(r). What is m in j(m) = 0?\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -176 and 11634270836.\nAnswer: 11634270660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 2*m + 11184 = 0, 22362 = 4*u - m + 3*m. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*l - t = -161, 5*l + 22*t + 8*t - 50*t = 155 for l.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 465.1 - 380.1. Which is the closest to 0?  (a) -4  (b) j  (c) 0.5  (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -g**3 - g**2 + 3*g. Let z be s(-3). Is 69\/(-9)*z\/(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -1, -2, -5, 96074 in descending order.\nAnswer: 96074, 3, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 6*j = -3*y - 4, -3*j + 3 = 0. Let k(v) = -6 - 9*v + 3*v - v**2 + y. Let r(s) = 25*s + 494. Let q be r(-20). What is k(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 26\/7  (b) 5  (c) -3\/4  (d) -375  (e) 1\/3  (f) -4  (g) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -5*-169112295\nAnswer: 845561475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 93023?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5 - (-5 - (-5 - 0 - -9))) + 17.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 2*p. Let n(o) = -o**3 + 8*o**2 - 7*o + 3. Let x be n(7). Suppose -x*l - 6*l = -81. Let j(i) = 2*i - 22. Let q be j(l). What is s(q)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.058 times 30?\nAnswer: 1.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 14360*j**4*r + 247*j**2*r + 5*j*r + 2 wrt j?\nAnswer: 344640*j*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 181\/(-1629)*6\/(-10)\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -215, -346, -573, -896?\nAnswer: -1315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by 6193010.\nAnswer: -1\/1238602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 351\/(-36)*(-24)\/7. Let f = d - 33. What is the closest to f in -0.2, -0.3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 - 2 - (-3 + 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -35 + 19. Let n = -21 - b. Let m = -6 - n. Sort m, 2, -5, 3 in increasing order.\nAnswer: -5, m, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*q**2 + 0 + 0*q + 2\/17*q**4 + 2\/17*q**3.\nAnswer: 2*q**3*(q + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**7\/((s*s**(-5)\/s*s)\/s)*s\/(s\/(((s**(-2\/15)\/s)\/s*s)\/s))*s**(-2\/3)*((s\/(s\/(s*s*s**(-2))))\/s*s\/(s**(3\/5)*s))**(-5\/16) assuming s is positive.\nAnswer: s**(97\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 3453 a factor of 135896268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 5) in base 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 64*t - 69*t + w - 11, 3*t + 2 = -4*w. Sort -1, -5, t, 1 in ascending order.\nAnswer: -5, t, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(52)*-3 - sqrt(156)\/(((sqrt(12) - sqrt(12)*1) + sqrt(12) - sqrt(12)) + sqrt(12) + sqrt(12) + sqrt(12)).\nAnswer: -19*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(13) - sqrt(26)\/sqrt(2)*4) + sqrt(13) + sqrt(13) + (sqrt(13) + -1)**2 + -4 - sqrt(52)\/(sqrt(4) - (sqrt(4) - (-1*sqrt(48))\/sqrt(12))).\nAnswer: -2*sqrt(13) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*m = -42*m + 132 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.4 + 418208252.468.\nAnswer: 418208252.068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4114*a**2 - 1964*a + 2 wrt a.\nAnswer: 8228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -10009, -10062, -10103, -10132, -10149?\n\"Answer: 6*j**2 - 71*j - 9944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -157*h = -1037 - 2731 for h.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1\/6, -0.7, 8?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 35111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eddvhrhi. What is prob of picking 1 i and 1 r?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) be the first derivative of 0*p + 4 - 1\/2*p**2. Let q(t) = 2*t**2 - 5*t**2 + 0*t**2. Determine q(z(a)).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1982059139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 595 is divided by 100?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 1420 = -5*i + 29680, i + 4*a = 6220. Let d = i + -24685\/4. Is d bigger than 49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2949 - 4137 = 54*p for p.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) be the first derivative of -c**4\/4 - 14*c**3\/3 + 13*c**2\/2 - 12*c + 20. Calculate the remainder when 122 is divided by x(-15).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7407 is divided by 80?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.06355 - 0.06355. What is the nearest to m in 60, -4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 2*b**2 + b + 2. What is the remainder when j(2) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1.1 - 1.5. Let b(t) = -t**2 - 6*t + 3. Let j be b(-7). Let l = -0.7 + 0.2. What is the third smallest value in l, j, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -44*s - 25*s + 48*s - 91*s.\nAnswer: -112*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 0  (b) -1  (c) -51\/2  (d) -2.05  (e) -1\/28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -1016, -1251, -1522, -1835, -2196?\n\"Answer: -s**3 - 12*s**2 - 192*s - 811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-30)\/(-8))\/((-63)\/(-471)). Let h = z - 28. Let l = h - 15\/28. What is the nearest to l in 0, 0.2, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:43 PM and 3:46 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -17, -41, 9 in ascending order.\nAnswer: -41, -17, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3\/2  (b) -3  (c) -3\/7  (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (-58)\/7337*-253*(-37)\/2\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 457 minutes before 2:49 PM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*m**2 - 2*m**2 + 2*m**4)*(20 - 14 - 31).\nAnswer: -50*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 82015 = z + 4*a, -140*a = -4*z - 144*a + 328024. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-1)\/(-2))\/((-18)\/(-72)). Let l be (-1)\/(-3)*(-3)\/(-4). Is l at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = -b + 2 + 6, 3*b + 2*a = 2. Let u = -290987\/5 - -58377. Let o = u + -179. What is the second biggest value in b, o, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2995459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that -b**4\/5 + 37802*b**3\/5 - 83144*b**2 + 718038*b\/5 - 340119\/5 = 0.\nAnswer: 1, 9, 37791","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*w + 95 = 150. Suppose 0 = -s - 2*s + 105. Calculate the greatest common factor of w and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -30*o**2 - 2. Let n be w(-1). Let f = -44 - n. Do -12 and f have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-1\/3))**(-2\/17)*(d\/d**(-1))**(-2\/63)*(d**(-2\/3)\/d*d)\/d**(-1\/4)*d**(2\/3)*d*d**8*d assuming d is positive.\nAnswer: d**(43807\/4284)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-7)\/2 + (-2)\/4. Let j = 4 + u. Let n = -54 - -57. Which is the closest to 0.1?  (a) 1\/12  (b) n  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 7*s - 24 + 52 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -31\/1506 and 65\/2.\nAnswer: 1506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -22828, -45661, -68494?\nAnswer: -91327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 24 + 20 - 321*c + 1511*c + 11 - 49 + (1 + 1 - 3)*(-1 + 1 - 2*c) + 4*c - 5*c + 2*c.\nAnswer: 1193*c + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -2*(-3)\/6 + (-735)\/(-15). Suppose 368 = g*j - 46*j. What are the prime factors of j?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-37)\/(-148))\/(19\/(-4)).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -3, 1, -8791, -20 in ascending order.\nAnswer: -8791, -20, -4, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 15 + -10. Suppose -2*t + 150 = 3*m, -4*t = 5*m - 8*t - 250. Let l(b) = m - b - 27 - 20. Determine l(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, 1\/3, 3\/8, 0.4, -659, 15 in decreasing order.\nAnswer: 15, 7, 0.4, 3\/8, 1\/3, -659","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 - 1 - 2 + 3 - 4 + 2 + (1 - 1 - 1)*(1 - 3 + 0) - 4 + 1 + 4)*(-5*h + 15 - 15)*(1 - 1 + 3*h**3) to s*h + k*h**2 + o*h**4 + n*h**3 + p and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(-8)\/g*g*g*g**(-1)*g*((g\/((g*g**(3\/2))\/g*g*g))\/g)\/(((g**7*g)\/g*g)\/g) assuming g is positive.\nAnswer: g**(-35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -60*b**2 + 28*b**2 + 21*b**2 + 20*b**2.\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -188 - -189. Let z(c) be the first derivative of 5*c**2\/2 - 2. Give z(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6 - (-18 - (-1 - 2)) - -6) + 54.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = -b + 10, 5*b + g = 16 + 34. What is the remainder when (-2 + 1 - b)\/(-1) is divided by ((-2)\/16)\/((-7)\/616) - 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 13 + -10. Differentiate 0 + 8*a**n - 7*a**3 + 4 - 3 wrt a.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 e when two letters picked without replacement from ubeuv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kxo when three letters picked without replacement from jkxod?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -111101101100101000 (base 2) to base 3\nAnswer: -110211122201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - -10 - -35) + -10 + (4 - 3) + 0.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 5*m + 108. Let h be r(-20). Calculate the highest common divisor of 4 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30 = -t + 5*f - 42 + 29, 2 = 4*f - 30 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 7*x**2. Let v(c) = -c**2. Calculate v(r(t)).\nAnswer: -49*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (g**2 + 3*g**2 - 3*g**2)*(-367*g**2 - 793 + 2*g - 822 + 1617) to m + d*g + t*g**3 + n*g**4 + k*g**2 and give n.\nAnswer: -367","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 0 + 6 + 8 + -11\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -12*u - 13*u + 100. Let r(k) be the second derivative of -1\/60*k**u - 22*k - 1\/15*k**3 + 0 + 0*k**2. Factor r(l).\nAnswer: -l*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = z**2 - 8*z - 7. Let r be f(9). Let b(n) = n**3 - 2*n**2 + 2*n - 1. Calculate the remainder when 5 is divided by b(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u*((u**(-2\/21)*u)\/u)\/u)\/u*u*u**(1\/16)*(u**(-5)*u)\/u**(-2\/5) assuming u is positive.\nAnswer: u**(-4423\/1680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 28172.12km?\nAnswer: 28172120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 69*m - 93 = 38*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Do 7 and -105.3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -q**2 - 2. Let k(y) = -y**2 - 1. Let v(l) = 6*k(l) - 3*u(l). Let f(i) = 41*i**2. Give f(v(d)).\nAnswer: 369*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor o**3\/3 + 936*o**2 - 64804*o + 3324656\/3.\nAnswer: (o - 34)**2*(o + 2876)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8*f**2 - 6*f**2 - 3*f - 14*f**2 - 13*f**2 to the form y + h*f**2 + p*f and give h.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that -2*o**5\/9 + 4706*o**4\/9 - 400852*o**3 + 92380932*o**2 + 6060563046*o - 93533876982 = 0.\nAnswer: -63, 13, 801","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*x - 4 = 12*x + f - 3*f + 17, -4*x = 10*f - 84 for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*c - 21*c = 0. Solve -226*h + 228*h = c for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 188015.54 less than -29.9348?\nAnswer: -188045.4748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 62*d. Let r(x) = -83*x**2. What is y(r(t))?\nAnswer: -5146*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*r**2 + 90*r**2 + 34*r**2 + 0*r**2 + 3*r**2 - 7*r**2 + (r**2 + 3*r**2 - 2*r**2)*(1 + 2 - 2).\nAnswer: 120*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 5694916089 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -4\/19, -4, -1121, -2\/9, 2 in decreasing order.\nAnswer: 2, 1, -4\/19, -2\/9, -4, -1121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((sqrt(2) - sqrt(200)*2)**2 + -3*sqrt(8)).\nAnswer: -722 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 46640, 47186, 47726, 48254, 48764, 49250?\n\"Answer: -j**3 + 3*j**2 + 544*j + 46094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 38 - 34. Suppose -6*q + 6 = -g*q. Solve q*p + 4 = -8 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = t**3 - 17*t**2 + 51*t + 17. Let x be o(13). Suppose 3*a = -x*g + 297, -472 = a - 6*a + g. Is a a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -26 + 32. Which is the third biggest value?  (a) o  (b) -3\/2  (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4664?  (a) -1\/3  (b) 1  (c) -1  (d) -2\/3  (e) 14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 36805, 36691, 36553, 36379, 36157, 35875?\n\"Answer: -2*v**3 - 100*v + 36907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -3*p - 26. Let c be h(-13). Let x(j) be the first derivative of -11*j + 5*j - 12*j**2 - c - 4*j + 0*j**2. Find the first derivative of x(k) wrt k.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wiwwwwdddd. What is prob of sequence did?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -29108 divided by -6\nAnswer: 14554\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1093160, 1093246, 1093332?\nAnswer: 1093418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/3 not equal to 59485\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 2*m**2 - 3. Give c(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -400 + 409. Suppose i*h = 22385 + 4084. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1 - (0 - (4 - 2)). Let d be 1\/(-3)*(0 + -9). Suppose 3*h + q*y - 99 = 6*y, 104 = d*h + 2*y. What is the remainder when h is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) be the second derivative of -5*w**4\/48 + 275*w**3\/12 - 68*w. Factor a(i).\nAnswer: -5*i*(i - 110)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1.14 + 1.22. Let t = -1.8 + -0.12. Let h = t - k. Which is the closest to 1?  (a) 2  (b) h  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2 + (-1 - -2) + 0. Suppose -3*c = 3*g - c - 5, 2*g + o*c = 10. What is the units digit of 8 - (0\/1)\/g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 8586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -27*i**2 - 2152*i + 599. Calculate s(-80).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 634 minutes after 3:37 PM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 67\/351 and 53\/2458248.\nAnswer: 22124232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1.503 - -0.003. Let d = -1.5 - w. Sort 0.3, -4\/3, 2\/15, d.\nAnswer: -4\/3, d, 2\/15, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -14.7769062 to zero decimal places.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + -6 + 3 - (1 - (0 - 0))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -327\/16 + -20333\/80. Let f = -273 - i. Find the common denominator of 176\/12*6\/(-20) and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.46 in -4, 0.3, 1\/2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 4 = 0, -z - f = -10 + 1. Solve z*t - 7 = 7 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -46\/221 and 39\/1649.\nAnswer: 21437","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 62 (base 14) to base 11\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -175, -376, -573, -766, -955, -1140?\nAnswer: -1321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (70\/(-30))\/(1\/(-51)). Let i = -84 + y. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 97 divide 1090571?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 407510469?\nAnswer: 3, 31, 811, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6597, 11116, 15635, 20154, 24673, 29192?\nAnswer: 33711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -6 - -2. Suppose -f + 3*f = -4*a + 12, 0 = 3*f - 3*a + 9. Put x, -9, f in ascending order.\nAnswer: -9, x, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -554.6 - -549.6. Which is the closest to -0.46?  (a) t  (b) -2\/5  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 3  (b) -0.07  (c) -123\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*y**2\/4 - 160935*y\/2 + 8360508.\nAnswer: 3*(y - 107186)*(y - 104)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 79*z + 44. What is o(6)?\nAnswer: 518","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1383*i + 95 - 95.\nAnswer: 1383*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 3*b**2 - 281*b - 83210. Determine k(-126).\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*i**4 + 22360719*i**3 + 11537635*i**2 wrt i.\nAnswer: -48*i + 134164314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - 14*n**3 - 1 + (0*n + 2*n + 0*n)*(-4*n**2 + 3*n**2 + 2*n**2) + 4*n**2 - 4*n**2 + 2*n**3 + 3*n**3 - 3*n**3 - n**3.\nAnswer: -11*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/15, 0.713, -4\/7 in ascending order.\nAnswer: -4\/7, 2\/15, 0.713","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 5*d + 6*d - 4*d + 1. Let n = 961 - 958. Suppose 2*l + 19 = n*l + 4*s, 3*s = -l + 15. What is x(l)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 105*l + 1. Let g(s) = -3 + 2*s - 3*s + 2*s. Let f be g(5). Is o(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 1, g: 2, i: 2, n: 6}. Give prob of sequence inip.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 5, c: 14}. Give prob of sequence oco.\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 68\/834555 and 16\/75?\nAnswer: 4172775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 20*g - 9*g - 2*g**3 - 12*g + 4 + 2*g**2 as f*g**3 + o + u*g + n*g**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-33 + 76 - 29)*(0*j + 0*j + 6*j) + 3*j - j - 1 - j.\nAnswer: 85*j - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f\/(f**(-12)\/f)))\/(f\/(((f*(f\/f**(1\/5))\/f)\/f)\/f))*f**(-2\/9)*f*f*((f\/f**(-2\/5))\/f)\/f*f*f*f assuming f is positive.\nAnswer: f**(-496\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wwrpprwazwr. Give prob of picking 1 a, 2 w, and 1 p.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 27\/(2\/11 + (-108)\/(-132)). Calculate the remainder when 145 is divided by v\/(-45) - 496\/(-10).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 56\/1075 and -53\/5074.\nAnswer: 126850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 4*p = -40, -8 = -u - 3*p + 8*p. What is the smallest common multiple of u and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 65 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 8757\/(-139)*10\/(-45)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -13*y - 1. Let z be o(2). Let c be (-6)\/(-4)*(-72)\/z. Suppose 0 = c*p - 4*x - 28, -x = -4*x + 3. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 divided by 5288?\nAnswer: 3\/1322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that 4*x**5 - 72*x**3 + 128*x**2 - 60*x = 0.\nAnswer: -5, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 134*q = 50*q + 13104. What is the highest common divisor of q and 1599?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 6 + h**4 - 19*h**3 + 19*h**3 wrt h.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 50.996 millilitres in litres?\nAnswer: 0.050996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does -0.1 = -322?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -73 or 2038?\nAnswer: 2038","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*q + 3*q - 4*a + 16, 2*a - 2 = -2*q. Let s = -3 + 3. Let i(g) = -g + 2 - g + 3 + s*g. Determine i(q).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3503456 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 190 divide 1172751250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -140*14\/(-175) + -12 + 111\/45.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -98843 + 98753.039. Let p = -224 + 134. Let b = d - p. What is b rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2223766 and 1810?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 165407948 to the nearest integer?\nAnswer: 12861","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 614170.92 rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 40\/15*(-6)\/(-4). Suppose 3*d - 16 = -4*g, g = -d + 4*d + p. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1026 = -4*i + 2*i. Is 9 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -29*m*w**5 - 8*m*w**3 - m*w - 8*m + 4 wrt w.\nAnswer: -580*m*w**3 - 48*m*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = -0*i - 90. Let c = i - -82. List the prime factors of c.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -p**2. Let z = 1 - 1. Let k(w) = z*w - w - 1 + 1. Calculate a(k(q)).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) be the third derivative of 0*x**4 - 3*x**2 + 1\/210*x**7 + 0*x**5 + 7\/6*x**3 + 0*x + 0 + 0*x**6. Find the first derivative of w(g) wrt g.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = 4*t - 172, 2*y + 3*t + 10 = 185. Let w = y - 409. Let n = -177 - w. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*d - 25382 = 71338. What is the highest common divisor of 155 and d?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - 3)*(3*h**2 - 3*h**2 - 2*h**2 + (-h + 3*h - 4*h)*(-2 + 2 - h) + h**2 - h + h)*(900*h**2 - 390*h**2 + 282*h**2).\nAnswer: -2376*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -13.1 - -11.1. Let u = -13 + 8. Let y = 4 + u. Which is the biggest value?  (a) y  (b) o  (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j = -5*o + 5290, 0 = -4*o - j - 1833 + 6059. Is 31 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 31 = j - 3*j, 2*j + 5*n - 29 = 0. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 24 - 21. Let m be (1\/5)\/(-12 + (-1632)\/(-180) + 3). Solve 4*v + 14 = m*w, d*w - 14 = 5*v + w for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of -3*(-2)\/(-8) + 179\/4 and 10.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 37134 divided by -6\nAnswer: -6189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 14555*j**3*m**2 - 2*j**2*m**2 + 76*m**2 wrt j.\nAnswer: 87330*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -u + s - 27, u - 5*u - s = 123. Let m be (-3)\/(3\/u*3). What is the greatest common divisor of 30 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t = -4*g - 5, 3*g + 34 - 29 = t for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) be the second derivative of m**10\/5040 + m**6\/72 + m**3 + 2*m. Let i(q) be the second derivative of c(q). What is the third derivative of i(d) wrt d?\nAnswer: 120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 1 + 4)*(4 - 4 - 58*i + 13*i).\nAnswer: -270*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 4*f**2 + 6*f - 5. Suppose -52*j = -75*j + 17664. Let l = 769 - j. Give s(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 24000 and -0.1908.\nAnswer: -4579.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -3*g + g + 3*g - 8. Let b(p) = -3*p + 17. Let l(a) = 2*b(a) + 5*r(a). What is the units digit of l(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44*v + 502 + 1581 - 1203 = 0 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 3\/32 of a millimeter?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -12868758 - -52118753. Suppose 0 = -5*s + c + u, 8903062 = 5*s + 5*c - 30346963. Round s to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 11 and 831380.\nAnswer: 831380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 19 and 361.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -r**3 - 12*r**2 - 4*r - 12. Let y be b(-11). Suppose 0 = -3*u - 4*u - 630. Let d = u - y. Let k(z) = 16*z**2 - z - 1. Determine k(d).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3 - -6. Suppose -5*b + w = -1. Suppose 5*t - 4180 = 5*p, -831 = t - 2*t + b*p. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 235392146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 31969?\nAnswer: 7, 4567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -v - 3*v - 612 - 614 + 6*v - 14*v + 1226.\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4860 + 4866. Is -1802 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 28*r**2 - r - 8. Let j(a) be the first derivative of 29*a**3\/3 - 7*a + 92. Let h(b) = -6*j(b) + 5*o(b). What is the second derivative of h(x) wrt x?\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -386322*b**2 - 386902*b**2 + 772312*b**2.\nAnswer: -912*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 6189 = -1647. Is n a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 512034549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*w, 0*w - 60 = -3*b - 5*w. Let k be 81\/45*b\/6. What is the highest common divisor of k and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6793.7264 rounded to the nearest ten?\nAnswer: 6790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 45*s + 37677 = 38397 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = l - 395. Let y(p) = p. Calculate o(y(u)).\nAnswer: u - 395","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (9 + -18 - -5) + 1 + 1. Does 76 divide (w - -753 - -8) + 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 4160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(-15))**(3\/32))**34 assuming v is positive.\nAnswer: v**(-765\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2537 is divided by 797.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in 1, 4, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -636*a = -2073*a - 15969 - 40074 for a.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.5 + -0.468. Let h = -3638.032 + 3641. Let q = c + h. What is the nearest to 1\/3 in -2\/19, -0.2, q?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that 2*i**4\/11 - 1103897*i**3\/11 + 3863623*i**2\/11 - 4415563*i\/11 + 1655835\/11 = 0.\nAnswer: 1, 3\/2, 551945","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -181548 + 356621. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) be the third derivative of -f**5\/60 - f**4\/24 + 25*f**3\/3 - 2*f**2. Let h be z(0). Suppose -l + 18 = -2. What is the highest common factor of h and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 38\/63 and 6\/9 + (-1946)\/1008.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -2*y**3 + 11*y**2 + 5*y + 5. Let v(f) = -3*f**3 + 12*f**2 + 6*f + 6. Let m(b) = -6*r(b) + 5*v(b). What is w in m(w) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 510, 1\/29, 0.46 in decreasing order.\nAnswer: 510, 0.46, 1\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/((21\/(-84))\/((-2)\/12))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*g - 10*g = -32*g + 27 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -2*l**3 - 6*l**2 - 5*l - 6. Let a(m) = 3*m**2 - 4*m**3 + 4*m**3 + 33*m + m**3 + 3 - 30*m. Give -5*a(r) - 3*p(r).\nAnswer: r**3 + 3*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -1 + 6*w - 2 - w + 6. Suppose 4*u - 4*t + 16 + 20 = 0, -2*u - t - 3 = 0. Let b(r) = 1 - 8 + 3 - 6*r + 0. Give u*d(v) - 3*b(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:53 PM and 12:37 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 315990 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2 + -3. Let c = -0.2222 + -0.0778. What is the biggest value in k, 0.2, c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2 + 0)\/(4\/6). Suppose -5 = 4*f - 5*f + 3*a, -2*f - a + 3 = 0. Suppose f = n*x - 2*x. Solve 5*p + 6 = 3*d, 9 = -x*p - 0*d - d for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 293910 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -75, -4, -1, -155, 2 in decreasing order.\nAnswer: 2, -1, -4, -5, -75, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 1 * -2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(88)\/sqrt(2) - sqrt(44))**2 - sqrt(44)\/(-2*sqrt(4)) - ((-2*sqrt(110) + sqrt(110) - sqrt(110))\/sqrt(10) - (sqrt(121) - -2*sqrt(121))\/sqrt(11)).\nAnswer: 11*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 2*o - 1 = -2, 3*w + 5*o + 1 = 0. Suppose 10 = -2*n - 5*b, -w*b - 17 - 10 = -3*n. Let q be 1*(-10 + 12 + -1 + 0) - -7. Solve -q = l - n*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -185 + 25 = 5*q. Let m = q - -31. Let b be 15\/10*(-2)\/m. Solve 4*t = -5*j - 40, -2*j = 3*t - 5*j + b for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -7, 1104, 62?\nAnswer: 1104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -518564, -518539, -518476, -518357, -518164, -517879, -517484?\n\"Answer: 3*t**3 + t**2 + t - 518569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 3, j: 7, g: 7, l: 1, r: 1}. What is prob of sequence lr?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*((d**1*d)\/d*d)\/d*d)**(-47)\/(d**(3\/10)\/(d*d*d\/d**(-1\/3)*d))*d**(2\/13)\/(d*d\/d**(-5))*(d**(-1\/3))**(-3\/11) assuming d is positive.\nAnswer: d**(-616567\/4290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -n**2 + 14*n + 19. Let d be x(13). Find the second derivative of 3*u**3 - d*u**2 - 1062*u + 1034*u + 5*u**2 wrt u.\nAnswer: 18*u - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 371 is divided by 64?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1*0\/(3 + -4). Let t = -5.01 + 0.01. Which is the biggest value?  (a) 2  (b) t  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) be the first derivative of 3\/2*d**2 - 12\/5*d**5 + 33\/4*d**4 - 9*d**3 + 3*d - 5. Solve r(v) = 0 for v.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 9933 and 2709?\nAnswer: 29799","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*o + 58 = -3526. What is the hundreds digit of (-1*(-7432)\/6)\/(o\/(-384))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 294343238.\nAnswer: 2, 7, 53, 173, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 900 divided by 9.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 329051861?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uuj when three letters picked without replacement from {e: 2, k: 1, u: 2, x: 4, j: 5, w: 1}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31*p**2 - 10 + 14*p**2 - 241*p + 11 + 0*p**3 - 3*p**3 + 65*p.\nAnswer: -3*p**3 + 45*p**2 - 176*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -593 - -37953\/64. Let v = 3946523 - 1262885179\/320. Let o = v - n. What is the common denominator of 13 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6253859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/5)\/(1608\/(-603) - 5077\/3810*-2)?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 5*g - 136 = 59, 0 = z + 5*g - 63. What is the remainder when z is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.06  (b) -6\/11  (c) -1\/7  (d) -0.2  (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when -2 - (-25468)\/(-10)*-5 is divided by 119.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) be the first derivative of 5*c**9\/1512 - c**5\/12 + 3*c**3 + 3. Let y(b) be the third derivative of g(b). Find the second derivative of y(z) wrt z.\nAnswer: 200*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1230 = 3*t - 393. Is t\/(-6) + 2\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = l + 3*l + 24. Let x(h) = h - 3. Let m be x(l). Let j be (-1 - -2 - 3) + -58 + 58. Which is greater: j or m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4271 - -4279. Suppose 0 = -0*k + k + 3*o - 3, -5*k = o - 29. Solve 0 = -k*h - 4 - s for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 508 and 5?\nAnswer: 2540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8 - 2. Let a be -40 + 39 + (0 - -4) + -1. Suppose 3*u = -4*n + 57, a*n = 5*u + 41 - f. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -x + 4, 5*m - 95 = -3*x + 122. Does 2 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + ((-83)\/(-10) - (-24)\/(-8)).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8990\/(-3483625))\/((-12)\/50).\nAnswer: 1\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -d**2 - d - 17. Let y be p(0). Suppose -3*v - 6 = -5*i, -3*i - 2*v - 6 = v. What is the biggest value in -2, y, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = r**4 - r**2 - 1. Let q(u) = -10*u**4 - 66*u**3 - 89*u**2 - 24*u - 5. Let j(t) = 5*k(t) - q(t). Solve j(c) = 0.\nAnswer: -2, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((1*2)\/2)\/(((-133)\/(-60))\/((-112841)\/(-17817)))?\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1 + -22)\/(2\/4). Let s be (3\/2)\/((-15)\/(-20)) + c. Let f = s + 90. Which is greater: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -226 - -230. Which is the nearest to 0?  (a) 0.1  (b) 2  (c) -5  (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 20235, 40848, 62221, 84738, 108783, 134740, 162993?\n\"Answer: 64*q**3 - 4*q**2 + 20177*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -2\/241  (b) -2\/21  (c) -26.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*p + 2*p - 32 = 0. What is the remainder when -2*1 - 15\/(-1) is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) be the second derivative of d**4\/6 - d - 1. Let p = 4 + -1. Let o(r) = 4*r - r + p*r. Determine f(o(w)).\nAnswer: 72*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -aa111b - -2?\nAnswer: -aa1119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) be the second derivative of d**6\/3 + 7*d**3\/6 - 10*d. Find the second derivative of w(i) wrt i.\nAnswer: 120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2060 = 2*y + 2*p - 2122, 3*p = 2*y - 3*y + 41 for y.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 281962*2\nAnswer: 563924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 13) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x + o = -0 - 9, -5*o = -x + 23 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 6*a**2 - 2. Let s be 29\/7 - 3\/21. Let r(g) = -78*g**2 + 36 + 163*g**2 - 37 - 84*g**2. Calculate s*r(d) - m(d).\nAnswer: -2*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nencgvu. Give prob of picking 1 u and 2 n.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (1 - (-9)\/6)\/(17690\/806664)\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 19 - 15. Suppose -v + 342 = -l*r, 3*v - 1026 = 5*r - 2*r. Suppose 0*q + v = 6*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -i - 5. Let x be o(-5). Let w = x - -6. Solve -6 = -q + 2*f, f = -w*q + q + 8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 15c9 - 147c?\nAnswer: 14a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*a - 7 + 19. Let v be 11 + (-1 - (-5 - -1)) + a. Suppose j - 4*u + u = v, -4*j + 68 = -u. Is j bigger than 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 40 and 15400?\nAnswer: 15400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3990 and 1425?\nAnswer: 19950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 113213749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ppup when four letters picked without replacement from {u: 3, p: 4}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -73, -0.4 in descending order.\nAnswer: 5, -0.4, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 126 is divided by 60?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 45480 - 9*n**2 + 45484 - 90964.\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 44352 and 6336?\nAnswer: 44352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 2*u**3 + u**2 - 5*u + 4. Let b be c(1). Suppose -11 = -d - 4*q, -q - 10 = -7*d + 3*d. Suppose -d*w + 14 = b. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-16 + 18)*1\/2. Let v(p) = -p**3 + p**2 + p - 1. Let t(g) = -13*g**3 + 6*g**2 + 6*g - 6. What is s*t(j) - 6*v(j)?\nAnswer: -7*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -159862860*h**3 - 479550385*h**2 wrt h.\nAnswer: -959177160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -116*c**3 - 278 + 75*c**3 + 278.\nAnswer: -41*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 5*-2*(-2)\/(-10). Let t be (-16)\/12*(s + -1). Solve 5*d + t = d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -d**2 + 6*d + 10. Calculate r(11).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh biggest value?  (a) -0.5  (b) -4\/5  (c) 11  (d) -0.08  (e) -2\/9  (f) 0.017  (g) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -27\/1519 and -52\/279?\nAnswer: 13671","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 270617785 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) be the first derivative of 2*u**6\/3 - 11*u**2\/2 + 4. What is the second derivative of c(x) wrt x?\nAnswer: 80*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*m**2 + m - m)*(-4*m**3 + m**3 + m**3) + (-1 + 1 + m**3)*(3*m**2 + m**2 - 6*m**2) - m**5 + 8*m**5 - 2*m**5.\nAnswer: -7*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/4 + 29 + (-4717)\/106.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 - 24 - 2)*(8*u - 9*u - 11*u + 11*u - 205) to the form p*u + i and give p.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -8*d + 1 - 4*d**2 - 3*d + 4*d. Let v be 48\/22 - 6\/33. Let r(w) = w**v - 4 + 4 + 44*w - 42*w. Give -7*r(k) - 2*z(k).\nAnswer: k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 + 2*p - 3)*(1 - 2 - 2) + (2 - 7 + 4)*(-4*p + 3 - 3) as n + q*p and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 2 y when three letters picked without replacement from {u: 6, y: 4}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -g**2 + 8*g - 8. Let a be n(6). Suppose 3*f + a = 2*m - 0*f, -m = 3*f + 7. Let s be (-2)\/((-10)\/(-50) - 17\/(-15)). Is m greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r*r**(7\/3)*r*r**11*r)\/(r**(-5\/4)\/r**4))**(2\/59) assuming r is positive.\nAnswer: r**(259\/354)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by 29\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40*w = 1421 - 2101 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2523 - 11651?\nAnswer: -6125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -4*z. Let c(y) = -3*y**3 - y**2 + y + 1. Let a be c(-1). Let k(x) = -5*x**2 + 2*x**a + 4*x**2. Calculate r(k(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + 17 - 7 - (-5 + 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 299\/1488 - 5\/48. Is k less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -152*g + 153*g - 148 = 3*w, 392 = 3*g + 4*w. Calculate the remainder when 397 is divided by g.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 4*a - 8 = 0, 0 = -w + 4*w + 5*a + 10. Suppose 2*i - 13 - 29 = w. Solve 3*o - 3*b = 5*o + 1, 2*b = 3*o + i for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, l: 2}. What is prob of picking 1 d and 1 l?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 334633 or 334636?\nAnswer: 334633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 464223353 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 4*x = 1800. Suppose 12 = -131*k + 135*k. Suppose 2*v - 618 = -5*p + v, k*v = 3*p - x. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1 + 5. Let l(x) = 4*x + 3. Let y be l(v). Suppose -4*u + 3*u = -y. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 715 divided by 143?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*s**3 + 80*s - 4*s**3 - 3*s**2 - s**4 - 58*s to the form a + y*s**2 + i*s**3 + p*s + b*s**4 and give p.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 79 - 236 + 77 + 33*r + 87.\nAnswer: 33*r + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is (-5)\/((-90)\/(-6))*-8337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (105\/(-4))\/((5\/(-4)*-2)\/(1510\/(-151)))\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -249.9 in 4, 2\/7, 4\/7, 52, -0.1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 396 is divided by 173?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 580 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -628\/9?  (a) 6  (b) -1  (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 18114117?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.8771749 centuries to decades.\nAnswer: 8.771749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2590\/555*6\/(-16)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + -5 - (9 + 9 + (-12 - 9))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 869799 is divided by 217432.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 greater than or equal to -1652\/825?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1)\/(-8) - 2\/(32\/(-32910)). Suppose y = 15*s - 4*s. List the prime factors of s.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -7 * -656.\nAnswer: 4592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 88*o = 487 + 833. What is the remainder when 110 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide 30247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 0 + 0 + 3*m + 19*m**2 - 21*m**2 in the form o*m**2 + g*m + z and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3777167, -7554336, -11331505, -15108674?\nAnswer: -18885843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(539) - (-2 + 0 + sqrt(539))**2) + -4 + -2 + 1 + (sqrt(539)*3*-3*-4)**2.\nAnswer: 35*sqrt(11) + 697996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1530 + -112247.\nAnswer: -110717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 10, w: 2}. What is prob of picking 2 i?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -1112021 (base 3) in base 6?\nAnswer: -5054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.075 - 0.103. What is f rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -77 - -76.5. Suppose 6 = 2*j, -4*j - 4 = 3*t - 1. Sort 5, t, l in ascending order.\nAnswer: t, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 s when two letters picked without replacement from sizsmmr.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 504 = -3*s + 5*s. Let d = s - 180. What is the highest common divisor of d and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*w - 4*o + 2*o + 4, -5*w - 3*o = -3. Suppose 15 = -2*a - w*a, f = 4*a + 24. Solve 0 = -5*n + v + f + 8, 2*n - 5*v + 15 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + 6 + 0 - 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1040421*m + 1384*m**3 - 1040421*m.\nAnswer: 1384*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/(-19) - ((-210)\/(-38))\/(-5). Put 4, x, 3, -5 in decreasing order.\nAnswer: 4, 3, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) be the first derivative of y**4\/48 - y**2\/8 - y + 3. Let d(n) be the first derivative of m(n). Factor d(k).\nAnswer: (k - 1)*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 776076227 a multiple of 667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 479 - 477. What is the smallest common multiple of j and 531?\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -175 + 175.3. Which is the nearest to 0.1?  (a) -0.3  (b) z  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (209\/(-55) + 5)\/(-4 - (-44)\/(-40)*-4). Solve -1\/3*s**5 - 4*s**4 + 60*s - 41\/3*s**q - 2\/3*s**2 + 200\/3 = 0 for s.\nAnswer: -5, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 84*o - 3091*o - 45105 = 0 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-48)\/264 + (12\/(-27) - (-432551)\/6039).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 56622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at least as big as -220\/483133?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 34 and 57953?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert ed0d (base 15) to base 12.\nAnswer: 25064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 552 by 46.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13674*q - 17 + 57 = 13694*q. Solve 4*t = -y + 11, 0 = q*y + 6 - 4 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/25 of a microgram in nanograms?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) be the second derivative of 4*r**3\/3 + 1269*r. Let m(i) = -9*i + 1. What is 5*m(h) + 6*s(h)?\nAnswer: 3*h + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 - 43 = -3*u. Suppose 7*v = 2*v + u. Solve -v*x = -5*x - 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -v + 1. Let o be q(2). Let u be 2\/(-3 + o - 1). Which is the nearest to -1?  (a) u  (b) 0.4  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2a (base 16) to base 13.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.4  (b) 2\/11  (c) -0.26  (d) -0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*z = -30*b + 27*b - 6, -4*b = 4*z - 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3633673\/147 - 24719. What is the common denominator of j and -67\/27?\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-2)\/(2\/(-327)*1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*i**3 + 40*i**3 - 8*i**3 - 15*i**3 - 12*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 380580 - -74093. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -322578, -322683, -322788, -322893, -322998?\nAnswer: -323103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 * 0.00544\nAnswer: -0.000544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(252)*-5 + sqrt(7) + ((sqrt(28))**2 - sqrt(7)) + 2 - (5 + (sqrt(7) - (-2 + sqrt(7))**2) + -1*(0 + sqrt(7))).\nAnswer: -34*sqrt(7) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -12*h + 14. Let q(c) be the third derivative of -c**4\/6 + 5*c**3\/6 - 10*c**2 - c - 235. Give 4*n(x) - 11*q(x).\nAnswer: -4*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1059795?\nAnswer: 3, 5, 11, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*k**2 + 3*k**2 - 2*k**2)*(-58*k - 58*k - 2 + 88*k) + (0*k**2 + 3*k**2 - k**2)*(2 + 2*k - 2).\nAnswer: 60*k**3 + 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 48829800 to the nearest 100000.\nAnswer: 48800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 52016657 and 0.173?\nAnswer: 52016656.827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 25 = 2*c, u - 10 = -u + 5*c. Solve 11 = 2*l + u*n, -n + 10 = -5*l - 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -147, -297, -453, -615, -783?\nAnswer: -957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4017 + -4095)*2\/(-3)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*v + 15 = 11*v. Solve -v - 10 = 2*p + r, 5*p - 2*r + 15 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 473 minutes before 10:30 PM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vmuvmhmmmmmhmmummm. What is prob of picking 2 v and 1 h?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 54 and 71382114.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-2)\/4*2 + 845?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -8*n**2 + 2*n**2 - 8*n**2 + (-7*n + 0*n - 4*n)*(-6*n + 3*n + n).\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 3*i**2 + 0)*(-13 - 2*i + 10*i - 6*i).\nAnswer: -6*i**3 + 39*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (-10 - 416\/(-36)) + (-436080)\/293112\nAnswer: 4\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 324 and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 595 minutes after 6:14 PM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-8)\/14)\/(2*(-15)\/140)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 266.2 - 266.1999989208. What is v rounded to 7 decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1 by 10.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1421 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 151  (b) 1  (c) -1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (13 - 5 + 21)*(-5*c**4 + 4*c**4 + 3*c**4 + (-2 + 3*c + 2)*(-5*c**3 + 0*c**3 + 3*c**3)).\nAnswer: -116*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 162 and 216.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 4*l = -0*l + 268, -271 = -2*o - 3*l. Suppose -7*q + o = -5*q. Suppose -s + 86 = 5*w - 20, -3*w = -s - q. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -65*n + 92. Is i(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17858903.14 less than 739?\nAnswer: -17858164.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) be the first derivative of -y**3\/6 - 14*y + 1. Let q(m) be the first derivative of k(m). Let c(b) = 2*b**2. Calculate c(q(x)).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 504 and 653039576?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -889, -1700, -2479, -3214, -3893?\nAnswer: -4504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 5228399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(900) - (2*sqrt(900) + sqrt(900)))\/(3*sqrt(80)).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4902 and 2746754?\nAnswer: 1634","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 8, u: 4, z: 8}. Give prob of sequence zm.\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 1 + 2)*(y**4 + 0*y**4 + 0*y**4) - 14*y**4 - 59*y**3 + 59*y**3 + 2*y**4 - 3 + 3.\nAnswer: -13*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 23040 and 880.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:42 AM and 7:58 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*s**4\/19 - 148*s**3\/19 - 568*s**2\/19 - 560*s\/19.\nAnswer: -2*s*(s + 2)**2*(s + 70)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 17869554 and 2468?\nAnswer: 1234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 83 - 22 + 3*g - 3*g + 4*g**2.\nAnswer: 4*g**2 + 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) -4  (b) 0.6  (c) -16  (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -245147, -245160, -245173, -245186, -245199?\nAnswer: -245212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Are -414 and -414 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 32 and 18512.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 216421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -29960 to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8075*o**2 - o + 8082*o**2 + o.\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-26)\/5*255\/(-34). Let i(l) = -l**3 + 40*l**2 - 41*l + 90. Let k be i(v). Calculate the highest common factor of 102 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 70.49764 millilitres in litres?\nAnswer: 0.07049764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 203 minutes before 7:48 AM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8559?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 122.212 + -0.212. Let s = 176.5 - c. Let m = 54.500257 - s. Round m to five dps.\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 9936488 or 9936485?\nAnswer: 9936485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*t**4\/3 + 484*t**3\/3 + 984*t**2 + 5936*t\/3 + 3968\/3 = 0. What is t?\nAnswer: -2, 248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -11611, -1, 1, -3, 5 in decreasing order.\nAnswer: 5, 2, 1, -1, -3, -11611","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yggofyflrggrooo. What is prob of sequence yo?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.025345367 to 5 decimal places.\nAnswer: 0.02535","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6351 is divided by 42.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -i**2 - 4*i + 14. Let m be y(-6). Suppose -b + 55 = 5*n - 46, 0 = m*n - 4*b - 36. Put 5, -1, n, 2 in descending order.\nAnswer: n, 5, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 77045969?\nAnswer: 7, 11, 13, 19, 4051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -20*h**3 - 3*h**2 + 2*h - 4. Let k be u(-4). Suppose -2*d + 1226 = -7*d - y, -5*d + 5*y - k = 0. Let q = -175 - d. Is 10 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -529\/7 + 76. Let w = -30 + 27. Which is the third smallest value?  (a) 0.5  (b) n  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 69 minutes before 11:03 AM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*f**2\/4 + 933*f - 18735\/4 = 0. What is f?\nAnswer: -1249, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -5, -4, -5.1, -7, -0.06, 5\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -46 - -72. Let u be (3\/(-4))\/((-5)\/(-6 + g)). Put 2\/11, -0.5, 0.2, u in ascending order.\nAnswer: -0.5, 2\/11, 0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nnh when three letters picked without replacement from gnnnzghggn.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 182313133 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -49 = -4*x + 2*c - 27, 0 = -4*x + 5*c + 37 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3356 - 232?\nAnswer: 3124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 0.1829424 months?\nAnswer: 0.000152452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (3 - 1) + 0 + -2 + 4. Let s be (-5)\/10 - (-2)\/y. Which is bigger: s or 8\/7?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 18621 and 88967.\nAnswer: 800703","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -156, -58, -0.4 in decreasing order.\nAnswer: -0.4, -58, -156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1a - -124?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -278.7 + 279. Let p = 1614\/5551 + -4\/793. Which is the biggest value?  (a) h  (b) p  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-7)\/(-35) - ((-1)\/6 - (-2397)\/(-90)). Solve a = 20*i + 87 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 5 + 2*c**3 + 31 + 2*c**3 + 7*c**3 wrt c.\nAnswer: 33*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -1022*s - 4850. Calculate x(-9).\nAnswer: 4348","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 - (35 + -4)) + (-33 - (-35 + -2))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 123*a. Let b(w) be the second derivative of w**4\/12 + 21*w - 1. Give v(b(z)).\nAnswer: 123*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 806 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 424 minutes before 11:13 AM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12810.\nAnswer: 2, 3, 5, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 4, q: 14}. Give prob of picking 1 q and 3 k.\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/4*h**2 + 0 + 79*h.\nAnswer: h*(h + 316)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1766)\/(-25607))\/(2\/116)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1158, 0, -20.\nAnswer: -1158, -20, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 128 and 2944.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-4)\/(-7 - -1 - (-20 + 16)). Suppose -4*t + 15278 = n*v, -4*v + 6*t = 2*t - 30544. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -258 divided by 2.\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 12 + -27. Calculate the remainder when 127 is divided by (144\/f)\/(3\/(-10)).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c = -c - 12. Suppose 2*t = -3*l + c, -t + 3*l - l + 5 = 0. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -s**3 - 8*s**2 + 4*s + 8. Let v be u(-9). Let z = -35 + v. Solve d + z = 5*l, 2*l + 7*d - 2*d = -9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.04 at most as big as 60?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.9434068 milligrams to grams.\nAnswer: 0.0009434068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d = -8*k + 14, -3*k + 2*d - 742 + 747 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that 2*o**4 - 180*o**3 - 366*o**2 - 184*o = 0.\nAnswer: -1, 0, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (-11)\/33*(-225)\/(-30) - ((-25)\/5 - -7)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 1, d: 2, v: 1, z: 1}. Give prob of picking 1 d, 1 v, and 1 y.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.3258 to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5834383 is divided by 2917171?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 80 - (14\/(-21) + -1)\/(1043\/(-168) + 6)\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -1 - 2*m**2 - 1 + 1 + m**3. Suppose -21 = -5*u + 3*k, 4*u + k - 12 = 5*k. Suppose -2*l = 2*l, -u = -3*i + l. Determine a(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -253*q + 374. What is m(2)?\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 46873836?\nAnswer: 2, 3, 19, 53, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4332 + 6827. Is j a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 i and 1 d when three letters picked without replacement from {d: 2, k: 3, i: 5, n: 1, x: 2, l: 6}?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 1\/3, -1\/3, -96?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -3\/5  (b) -4  (c) 111\/5645  (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.0115 or 1019?\nAnswer: 1019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 726?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -64*x = -156 + 189 - 673 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -9*c**3 - 11*c - 23. Let v(z) = -9*z**3 + z + 8 + 3*z + 12*z**3. Let r(d) = -4*o(d) - 11*v(d). Find the first derivative of r(f) wrt f.\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 173812503 to the power of 1\/2, to the nearest integer?\nAnswer: 13184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 4 = -4*c, -19 = -2*c - 9*f + 4*f. Suppose 8 = -3*l + 2, 2*x = c*l + 1280004. Round x to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.05 + 0.02. Let v = -0.04 - p. Let m = 3060 + -3057. Which is the fourth biggest value?  (a) 1\/3  (b) v  (c) m  (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9386.\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -14.7555 + 14.5555. Let m = -74 - -65.4. What is the smallest value in -0.1, m, d?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 4549, 4367, 4185?\n\"Answer: -182*p + 4731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 15066601*j**5 + 2*j + 8200241?\nAnswer: 301332020*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 250372?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 415474492 to the power of 1\/2, to the nearest integer?\nAnswer: 20383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -1339590 divided by -5\nAnswer: 267918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 389773, 389774, 389775, 389776, 389777, 389778?\n\"Answer: j + 389772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 166479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2 and -0.24.\nAnswer: -0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh biggest value in -0.0034, 3, 4, -4, 21, 1, 0.08?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 13 - 11. Let k(z) be the third derivative of 0 - d*z**2 + 0*z - 1\/150*z**5 - 1\/15*z**3 + 1\/30*z**4. Factor k(y).\nAnswer: -2*(y - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*(g*g\/g**(-2))\/g*g**(-24))**(-2\/17) assuming g is positive.\nAnswer: g**(40\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -64 (base 7) to base 5.\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 8*v + 23*v + 127 + 2163*v**2 - 4318*v**2 + 2156*v**2 - 9*v. Calculate d(-13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(128)*-4 + 2*sqrt(512))\/(5*2*sqrt(4) - sqrt(12)\/(1*sqrt(3))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -5, 1490 in increasing order.\nAnswer: -5, -1, 1490","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 217+3874794\nAnswer: 3875011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 7*n**2 + 11342490*n - 3240712.\nAnswer: (n + 1620356)*(7*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:47 PM and 2:43 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) be the first derivative of 8 - 66*d - 9\/2*d**2 + 0*d**3 - 3\/4*d**4. Find the first derivative of q(g) wrt g.\nAnswer: -9*g**2 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 50449 to the power of 1\/2, to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -9 + 29. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((t**(-2\/5)*t)\/t)**(6\/17))**25)**(3\/40))**(-5\/13) assuming t is positive.\nAnswer: t**(45\/442)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -6 - 2289a9?\nAnswer: -2289b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -803, -1609, -2423, -3245, -4075, -4913, -5759?\n\"Answer: -4*r**2 - 794*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 2, e: 3, g: 3}. What is prob of picking 1 e and 1 g?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 2+2050.1256874\nAnswer: 2052.1256874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 8 = 3*y, -4*n = n + 5*y - 20. Solve -n*a - 2*p = -0*a + 2, 3*a = -4*p + 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 41227?\nAnswer: 41227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 112*a - 1142 - 2525 - 2493 = 0. What is the highest common divisor of a and 9031?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -192*y + 38034. Calculate v(188).\nAnswer: 1938","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1190 by 119.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -2*r - 26. Determine i(0).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + 1 + (-5 + 11 - 20)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -q**2 - 9*q. Let z be l(-6). Let a = -852 + 937. Suppose 83*r - a*r = -4. Solve r*x - 3*n = -z, 3*n = -4*x - 0*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -16*k**2 - 10 - 393*k + 404*k - 6. Let d(r) = 22*r + 3*r**2 - 44*r + 3 + 20*r. Let b be 43\/2 - (-3)\/6. What is b*d(m) + 4*n(m)?\nAnswer: 2*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -540 divided by -281\nAnswer: 540\/281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 193 - 227. Let k = h + 52. Sort k, -3, 1.\nAnswer: -3, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 356623 is divided by 8491.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 878.6127 - 1.14584.\nAnswer: 877.46686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 121553203021 - -1?\nAnswer: 121553203022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -33*x + 32*x. Is 2\/41 at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -18 - -187. Suppose 2*q = 2*c - 74, -c + 6*c + 3*q - v = 0. What is the remainder when c is divided by (-1)\/(22\/(-202)) + 140\/(-770)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1602673118?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -0.4256572 times -0.2\nAnswer: 0.08513144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -254*d - 2096. Calculate i(-10).\nAnswer: 444","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -8 + 9*b - 7*b**2 + 2*b**2 + 6*b**2. Let z be g(-10). Suppose -z - 1 = -n. Solve 5*f - n*u - 14 = 0, -2 - 1 = u for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 4, b: 2, s: 1, m: 3}. Give prob of picking 1 y, 1 b, and 1 m.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that -x**3\/3 - 1969*x**2 - 2908705*x - 8720209\/3 = 0.\nAnswer: -2953, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 2024 (base 5) to base 2\nAnswer: 100001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/r**(10\/11))\/r**(-13))\/(r**(1\/27))**(-4\/3) assuming r is positive.\nAnswer: r**(11708\/891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ppyyp. Give prob of sequence ppy.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 1\/19  (b) -30  (c) -372  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -265, -363, -435, -463, -429, -315, -103?\nAnswer: 225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*u - 2*y + 72, 0*u - 2*y = 4*u - 142. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(-2\/19)\/a**(-21))**(-47))**43 assuming a is positive.\nAnswer: a**(-802337\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*w - 4 = 2*w. Let r = 5 - w. Suppose 0 = r*u - 13 - 67. Calculate the lowest common multiple of 14 and u.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + z - 516 = 0, -5*i - 60*z = -62*z - 645. What is the greatest common factor of 215 and i?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -37, -382, -1305, -3100, -6061, -10482, -16657, -24880?\nAnswer: -35445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -4*k - 6. Let l(a) = a**3 + 2*a**2 + 2*a. Let i be l(-2). Let f = 28 - 10. Calculate the remainder when f is divided by q(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1804)\/(-82) - (2 - -4).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1146 + 2882 = 19*z. What are the prime factors of z?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = b**2 + 12*b + 16. Let m be l(-11). What is the second derivative of -4*c + 10*c**5 - 2*c**m + 0*c**5 + c wrt c?\nAnswer: 160*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.3 * -0.42.\nAnswer: -0.126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -155\/56826 and -17\/1056.\nAnswer: 909216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0 - -6. Suppose -2*c + v = 0, -4*n + 4*c + 16 = -0*n. Differentiate 3*u**2 - 7*u**2 + 16 - n - 4*u**2 wrt u.\nAnswer: -16*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.7 * -0.3.\nAnswer: -0.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 3*m = 4*m. Suppose 5*d - 520 - 10 = m. Let p = d + 2055. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1227 - 1232) + -1 + 0 + (-55 - (2 + 2))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 688 = -54*k + 148 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 17*s + 63 - 1287. What is the greatest common divisor of s and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30*o**2 - 73*o**2 + 3413572 - 3413572.\nAnswer: -43*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 2*f**2 + 3*f + 2. Let b be l(-2). Suppose 3*o + 3*i = 24, -b*o + i + 32 = 2*i. Solve j + 3*j = o for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 7\/11 - 5\/11. Let g = 0 - -3. Let n = -10\/3 + g. Which is the nearest to n?  (a) 4  (b) o  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3466512 - 2464096. Suppose -g = 9*w - 8*w. Let l = -552416 - w. Round l to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -10\/33 + 52\/99. Suppose -2*j = 5*w - 163, -2*w - 3*w + j + 166 = 0. Let r be (-3)\/(w*2\/(-4)). What is the third smallest value in 1\/4, r, g?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 933 = -2*n - m, 0 = 5*n + 2*m - 4665. Calculate the least common multiple of 10 and n.\nAnswer: 9330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2260\/(-60) - (13 - (35 + 14))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -651 + 219 + 220 + 214 + 2*b**2. Let o(c) = -47*c**2 + 311*c + 2. Let a(p) = o(p) - t(p). Find the second derivative of a(r) wrt r.\nAnswer: -98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4518149275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = x**3 + 2*x**2 - 48*x + 135. Let d be r(-9). Let q = 30 + -28. Factor d - 3\/5*j**3 - 27\/5*j - 18\/5*j**q.\nAnswer: -3*j*(j + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -70551 >= -70549?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 18*m - 12*m + 34 - 10*m + 5*m - 12. Suppose 29 = -4*i - 35. What is z(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -7?  (a) -2  (b) -1410  (c) 498  (d) -4  (e) -2\/7  (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 2, j: 1, l: 1, f: 2, a: 1}. Give prob of sequence jj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -1*6 - (-858)\/154. What is the third smallest value in x, -3\/4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -3*o + 11. Suppose 3*z - z + 4*m = 20, -o*z + 38 = -2*m. Calculate the smallest common multiple of 10 and z.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 + 4 + 21396*h - 21397*h + 9*h**2 as g + p*h**2 + l*h and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) be the second derivative of 0*i**2 + i - 1\/3*i**4 + 0 + 2\/3*i**3. Factor k(o).\nAnswer: -4*o*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-2\/7)*v)**(-27\/5)\/(((v*v**(3\/2))\/v*v)\/(v\/(v*(v*v**(-2\/5))\/v*v*v)))*(v**(-5)\/(v\/(v*v\/(v**(2\/7)*v*v)*v)))**24 assuming v is positive.\nAnswer: v**(-9437\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.5, -53, -60.814?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is j in 6*j**3 + 38055*j**2\/4 + 7539051*j\/2 - 5659641\/4 = 0?\nAnswer: -793, 3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -300*o - 90 = -599*o + 304*o for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -6*b - 4. Let u be k(-3). Let i be u\/(0 - 0 - -2). Let h be (-2)\/i - (-160)\/70. Which is bigger: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 + 3 - 6)*(-170 - 184 + 317)*(24*v - 24*v + 36*v**2) as j*v**2 + o + f*v and give j.\nAnswer: -1332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 39240003167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 517777927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 minutes after 8:06 AM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 40881 divided by -6.\nAnswer: -13627\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -189*h - 1336. What is k(-7)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) be the first derivative of f**3\/3 - f - 11. Factor q(u).\nAnswer: (u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4259?\nAnswer: 4259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/(42\/7)*-14?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 458569127?\nAnswer: 271, 1692137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.122*2.3.\nAnswer: -0.2806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2.3 + -0.7. Let q = -1 + l. Let n = -1.7 - -0.7. What is the third biggest value in n, -0.2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ifww when four letters picked without replacement from wfjftfijftfwwtwiff?\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 6, -111 in descending order.\nAnswer: 6, -2, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -89216.804199 + 89217. Let q = z + -93.004801. Let c = q + 93. Round c to two dps.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -2*f + 9. Let s(w) = -2*w + 8. Let u(y) = 5*i(y) - 6*s(y). Let a be u(3). Suppose -a*z + 7 = -2. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*w - 3*f + 61 - 15 - 31, -200 = -4*w - 40*f for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 43\/68 - 3\/4. Let x = -89\/35 - -3\/70. Which is the closest to 1\/2?  (a) i  (b) x  (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 4\/(-10) - 504\/(-110) and (-1139)\/(-1020)*18 + -12.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = p**3 + 4*p**2 + 3. Let x be f(-4). Suppose -12*h + 5*h - 16*h**5 + 36 - 320*h**x - 41*h - 124*h**4 - 296*h**2 = 0. What is h?\nAnswer: -3, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**2\/9 - 31*h\/9 + 26.\nAnswer: (h - 18)*(h - 13)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5, 26, 53, 80, 101, 110, 101, 68?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5069428*i - 4*n = 5069429*i - 23, 3*i - 5*n = -16 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1318795\/529 + -2493. Let c = a + 1609\/5819. Put c, 2\/11, -4 in decreasing order.\nAnswer: c, 2\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (z + z - z)*(5*z**2 - 9*z**2 - 6*z**2) - 2*z**3 + 2*z**3 + 3*z**3.\nAnswer: -7*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 3\/11596 and 51\/260.\nAnswer: 57980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 15 + -13. Suppose o - 536 = -4*i - 0*o, x*o = 5*i - 670. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 0*a**3 - 457*a**5 + 3 + 2*a**3 + 71*a + 9 + 1 - 106*a wrt a.\nAnswer: -9140*a**3 + 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 51\/22 and -121\/30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 83*a + 1052. Calculate o(-12).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = l**2. Let b(f) = 8*f**2 - 3. Let q(t) = b(t) - 6*d(t). Let u be q(2). Put -3, u, -1, -5 in increasing order.\nAnswer: -5, -3, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 240920 not equal to 240916?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000035832 to 7 decimal places.\nAnswer: 0.0000358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 172 = 4*i, 0*i + i - 325 = -5*z. Suppose -4*b = -f - 77, f = 3*b - f - z. What is the remainder when b is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -115204.5 rounded to the nearest one hundred?\nAnswer: -115200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*s + 0*s + 3*s)*(0 - 2 + 4) + 2*s - 5*s + 2*s - 1 - 3*s + 1 + (-3*s - 2*s + 13*s)*(-2 + 5 - 4).\nAnswer: -14*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ppqbbpbcbbpuqqbqu. Give prob of sequence uqbp.\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*k**2 - 4*k**2 + k**2)*(-38*k**2 + 9*k**2 - 21*k**2).\nAnswer: 450*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -59\/73?\nAnswer: -59\/73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 35 - 25. What is the third derivative of 145*y**5 + y**2 + r*y**2 - 132*y**5 wrt y?\nAnswer: 780*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 11 and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*i**2 + 7*i**2 - 5*i**2.\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -255 - 260 + 515 + 5*w**3.\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -29306 - -28906.5. Which is greater: n or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -8*i + 21. Let n(a) = -42*a + 106. What is -4*n(q) + 22*y(q)?\nAnswer: -8*q + 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 48427.\nAnswer: 79, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 70\/(-4) - (-6)\/24*6. Let n(m) = -m**2 - 36*m - 30. Is n(j) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gebc when four letters picked without replacement from {e: 2, c: 4, b: 2, v: 3, g: 8}?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 18.0045 + -18. What is i rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -5*((-1)\/20 - 3\/(-12)). Let w(o) = -o**3 - 20*o**2 + 21*o - 5. Let q be w(-21). Put 2, q, u, 7 in descending order.\nAnswer: 7, 2, u, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 87936 and 16.\nAnswer: 87936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 3*i**3 - 2*i**2 + i + 3. Let o be (-30)\/(-7) + 6\/(-21). Suppose d = -o*d - 10. Let c(s) = -16*s**3 + 11*s**2 - 6*s - 16. Calculate d*c(b) - 11*m(b).\nAnswer: -b**3 + b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 46 and 1472?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -102347732.63 + 16911953574.63. Let f = -16809605731.00000077 + v. Let q = f - 111. Round q to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/(-21)*1\/1.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -54*u - 265. Let o be s(-5). Let f(m) be the first derivative of 0*m**2 - 2 - 3\/4*m**4 + 3\/10*m**o + 1\/2*m**3 + 0*m. Factor f(g).\nAnswer: 3*g**2*(g - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*p = 97*p. Solve -4*k = -2*v + 24, p*v = -2*v + 5*k + 28 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + 3 + (-2*(sqrt(108)*-3*-2 + sqrt(108) + sqrt(108) + 1 + sqrt(108)*-2 + sqrt(108)))**2*-5.\nAnswer: -105856 - 1680*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 6068321 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*l - 25 = -18*l. Let b(k) = -k**2 - 6*k + 4. Give b(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/115 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 54 - 51. Suppose -t = -4*p - 2, 2*t - y = t + 5*p. What is the second biggest value in t, -6, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -11573149*x**5 + 5642360*x**2 wrt x?\nAnswer: -694388940*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4\/5*h**4 - 32\/5*h - 48\/5*h**2 + 0 - 24\/5*h**3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -202*v - 1644 + 619 = -5*u, 2*v = 3*u - 8*u + 5 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8\/12)\/(5\/(-90)*4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*b - 25*y - 157, b + 0*b - 4*b - 44 = 4*y for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five quarters of a meter in millimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 39686 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(1573) + 1))**2.\nAnswer: 198*sqrt(13) + 14166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.09*0.12068829.\nAnswer: 0.0108619461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 133\/4785288 and -29\/17112?\nAnswer: 148343928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*l**2\/5 - 976*l\/5 + 35496\/5.\nAnswer: -2*(l - 34)*(l + 522)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide (-258)\/(-129) - (-1)\/(2\/140)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32*y + 35 = -11*y - 7 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -26 - -32. What is the third derivative of 45*t**v - 68*t**6 + 39*t**6 + t**2 wrt t?\nAnswer: 1920*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/4*(-24)\/108)\/((-4)\/(-468))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 195 minutes before 12:01 AM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is q in -2\/3*q**4 + 20\/9*q + 0 + 6*q**2 - 20\/9*q**3 = 0?\nAnswer: -5, -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + -1 + 0 + (0 - 3) + 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -3*x**3 - 5*x**2 + 54*x + 11. Give j(-9).\nAnswer: 1307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 5*t - 3*t - 4 - 8*t + 4*t. What is the remainder when i(-10) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 140, 570, 1286, 2288, 3576, 5150?\n\"Answer: 143*d**2 + d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -310 - -312. Suppose -2*p = -5*z + 892, -z = l*p - 6*p - 164. Calculate the highest common factor of z and 144.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) be the third derivative of 0*m + 1\/20*m**5 + 0*m**3 + 0*m**4 + 2*m**2 + 0. Let c(u) = -191 + 35*u**2 + 191 - 37*u**2. Calculate c(h(i)).\nAnswer: -18*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 119523269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -4*u + r, -3*r - 17 = 3*u + 2*r. Suppose -2*n + 9 - u = 0. Solve -2*k + n = 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from {h: 6, o: 4}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -139*g = -125*g + 56 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -60, -0.1, 2\/91 in ascending order.\nAnswer: -60, -0.1, 2\/91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bnnnnnnnnnnnnnnnnn. Give prob of picking 2 n and 1 b.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 1, r: 1, y: 1, g: 3, s: 7}. What is prob of picking 1 r, 1 y, and 1 s?\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 26*x + 1.\nAnswer: 26*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -60 (base 14) to base 9.\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(20))**2 + 5.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 907478 times 0.136\nAnswer: 123417.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:32 AM and 4:59 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = -4*l. Suppose -3*b + 23 + 37 = l. Does 4 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1258 is divided by (-28)\/10*(3 + 1136\/(-112))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*v - 2*v + v + (-2 - 3 + 3)*(-v + v + 2*v) + 0*v - v + 0*v + (-2 + 3 + 4)*(-v + 7 - 7) + 0*v + 2*v - 3*v to the form q*v + t and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -u**3 + 6*u**2 + u + 14. Let a be h(6). Find the second derivative of a*w + 207*w**2 + 13*w - 31*w + 15 wrt w.\nAnswer: 414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1e + 84?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*-6*((4 + sqrt(19)*2 - sqrt(19))**2 - (-2 + -1*sqrt(19) - sqrt(19))).\nAnswer: -180*sqrt(19) - 666","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -121681*k**5 + 2*k**2 + 1539*k - 65 wrt k.\nAnswer: -7300860*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -16046 - -16066. Solve -7*g - 22 = l for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 135 is divided by 49.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7053077 (base 8) to base 5.\nAnswer: 433411322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 2 + -86292\nAnswer: -86290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b + 2*h - 2 - 4 = 0, 0 = 3*h for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -j**4 - 2*j**3 + j + 2. Let v(h) = -57*h**4 - 8*h**3 + 394*h**2 + 4*h + 8. Let x(a) = v(a) - 4*z(a). What is the third derivative of x(k) wrt k?\nAnswer: -1272*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iiii. What is prob of picking 3 i?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -2*m + 1 + 5 - 6. Let p(q) = q**2. What is p(k(i))?\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 4*b**3 - 3*b**3 - 17*b**2 + 17*b**2. Let y(v) = 7*v**4 + 5*v**3 - 10. Let r(w) = 5*k(w) - y(w). What is the first derivative of r(t) wrt t?\nAnswer: -28*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.01300102 - 0.013. Round w to 7 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -65 or -9?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((f - 3*f - 3*f)*(-2*f + f + 0*f) + 0 + 2*f**2 + 0)*(1 + 4 + 1).\nAnswer: 42*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000048378 rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 3324611083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Add together 757 and -6.\nAnswer: 751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 390 - 389.6. What is the nearest to 3 in 2\/7, 1\/11, f, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*s**3 - 18*s**2 - 405*s - 1200.\nAnswer: 3*(s - 16)*(s + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -188*x = -190*x + 20 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -3 + (-15 + 25)\/(4 + -2). Solve 3 + 1 = -h*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence add when three letters picked without replacement from akkdbdbdkaba?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gi when two letters picked without replacement from aagxoagxgicaggggxxx.\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*v - 4*v + 8. Suppose -h + 5*h = -5*b + 1041, -4*h - 394 = -v*b. Find the common denominator of b\/20*4\/(-3) and -97\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 684 + -688. Let m(x) = -8*x - 2. Determine m(y).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -5*(8 - 3)*12\/(-60). Solve -w = d - a*d + 1, 3*d - 5*w = -12 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w + 4*a - 9 = -0, -3*w + 2*a = -23 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -252 - 210. Let p be 3*-1*(1414\/h - -3). What is the second smallest value in 2\/3, -5, p, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1 and -56186.\nAnswer: -56186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i - 14 = -0*t - 5*t, 0 = -5*i + t + 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = 4*d + 78, 167 + 111 = 3*u - d. What are the prime factors of u?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -62*y - 1. Let l(s) be the second derivative of -s**4\/12 - 170*s. What is l(m(x))?\nAnswer: -3844*x**2 - 124*x - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is (45\/18)\/(10\/1956*3) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 426\/(-273) + 1 - (-80)\/(-520)\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 7 + 3?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 21711, 40903, 60095?\n\"Answer: 19192*v + 2519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + (2 - (2 + -4) - 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -26 - (66 + -22 + -4)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:30 PM and 7:12 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*g**2 - 4*g**2 - g**2 - 4*g**2.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 3327228 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1453.281kg to milligrams.\nAnswer: 1453281000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -16862, 2, -2\/5, 0.4.\nAnswer: -16862, -2\/5, 0.4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -l**3 + 15*l**2 - 15*l + 6. Let x be z(14). Let m be (12\/x)\/(-2*(-1)\/(-4)). Factor -4*s**3 - s**4 + 0*s**m - 2*s**4 + 8*s**2 - s**4.\nAnswer: -4*s**2*(s - 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 457 minutes after 1:42 AM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -250 = -3*i - 2*i. Let g(q) = -3*q**2 + q + 2. Let w be g(-3). Let o = w + i. Calculate the smallest common multiple of o and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 410 minutes after 10:14 PM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 517, 1037, 1553, 2059, 2549, 3017?\n\"Answer: -h**3 + 4*h**2 + 515*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 - ((-1 - 34) + 17)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-56*c - 51*c + 10*c)*(0 - 1 - 6) as b + j*c and give j.\nAnswer: 679","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -1 + -3 + 0 + 1 + 3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 24963658579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -11\/5, -0.03, -1\/5, 46, 6\/11?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 11 = -7. Suppose -15 = -3*p, -2*u - b*p + 16 + 14 = 0. Solve h = -0*j + u*j + 24, 4*h = -4 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i = 5*b - 55, -25*i + 31 = 42*i - 70*i + 2*b for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 225962?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 49511 + -16282. List the prime factors of w.\nAnswer: 7, 47, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) be the third derivative of n**5\/60 + n**2. Let k(m) = -18*m. Let j(y) = 19*y. Let a = 334 - 339. Let d(u) = a*j(u) - 6*k(u). Determine d(v(z)).\nAnswer: 13*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 51 - 60. Let p(m) = -3066*m + 6. Let o be p(f). What is o rounded to the nearest 1000?\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*p + 20*p + 24 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 166, -5, 3, 5, 0 in decreasing order.\nAnswer: 166, 5, 3, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -14722811\/10 - -1473950. Let k = s - 1671. What is the common denominator of k and (18\/(-25))\/(3\/(-10))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -92*g**2 + g + 25*g**2 + 69*g**2.\nAnswer: 2*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -5, 5, 19, 2, -3, 1626 in descending order.\nAnswer: 1626, 19, 5, 2, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve a - k - 2 = 0, 3*a - k - 8 = -0*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 195492 is divided by 1396.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 37 + -23. Calculate the remainder when i is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -19*r + 4. Let x(h) = h**2 + 20*h - 5. Calculate -2*x(o) - 3*z(o).\nAnswer: -2*o**2 + 17*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -4  (b) 2  (c) 2\/9  (d) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -95 - -1345.\nAnswer: 1250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 2, d: 5, w: 2, y: 2, l: 1, s: 5}. What is prob of picking 1 w and 1 y?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 66*u**2 + 27*u - 27. Let m(d) be the first derivative of -5*d**3\/3 - d**2 + 2*d + 32. Give 4*j(f) + 54*m(f).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(468)*-2 + sqrt(468))\/sqrt(9) - sqrt(52) - sqrt(364)\/(sqrt(7) + sqrt(175)))**2.\nAnswer: 2197\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -22140 rounded to the nearest one hundred?\nAnswer: -22100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mp when two letters picked without replacement from {p: 5, m: 2}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-28)\/210*-5*(-27)\/(-3) - (-44)\/(-6)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14742.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 567845948 is divided by 122.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -n**3 + 6*n**2 - 3*n + 1. Suppose 5*q = -x + 21, 0*x - 20 = 5*x. Calculate the smallest common multiple of 7 and t(q).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -919 - -3677\/4. Let h = 2 + -2.3. Which is the closest to z?  (a) 1  (b) 3  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 5  (b) 0.5  (c) 3\/5  (d) -150\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1 - -4.2. Let w = 4 - l. Let r = w - -1. What is the nearest to -2\/7 in r, 0.5, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 101 + -104. Sort 4, -1, l, -2 in decreasing order.\nAnswer: 4, -1, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 4*x + 10 = -0*n, -8 = 2*n - 2*x. Let o = -4 + 0. Sort o, 4, n in decreasing order.\nAnswer: 4, n, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -100*a**3 - 683*a**2?\nAnswer: -600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 10 = -6*p. Let n(h) = h**3 + 2*h**2 - 3*h - 5. Let u be n(p). What is the nearest to -0.2 in 2\/9, u, 2\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p**2 - 270*p + 4275 = 0.\nAnswer: -285, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 657 minutes after 9:24 PM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wyy when three letters picked without replacement from {w: 9, y: 7}.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1463 + 2103. Suppose -5*r = -8*p + 4*p - y, -p = 3*r - 401. Let d = 19 + -7. What is the greatest common divisor of r and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor a**2 - 84*a + 164.\nAnswer: (a - 82)*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 69 = -2*u. Suppose -o = 4*x - 19, 6*x - x = -2*o + u. Let n = x - 5. Solve g + 0 - 1 = n for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 17 - -43. Does 15 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-14)\/(-2) - (23 - 19). Suppose 0 = -3*c - 4*x + 16, 6*c - g*c = 3*x - 12. Solve -3*r + 7*r - 8 = c for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -16*j**2 + 5*j + 21. Let a = 20 - 9. Suppose -10*x + 5*x - 3*t = 22, t = x - 2. Let g(b) = -3*b**2 + b + 4. Give a*g(p) + x*s(p).\nAnswer: -p**2 + p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-135)\/((-89775)\/(-2945))*-28?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -q**3 - 8*q**2 - 6*q + 10. Suppose h + 2 = -5. Let f be b(h). Suppose -5*m - 2 = -12. Is f smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 4003*f - 9. Let l be r(3). What is l rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.239905327 rounded to three decimal places?\nAnswer: 1.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*n + 3*h + 75, -2*h + 0*h + 6 = 0. Suppose -g - 10 = -3*d, -2*g - 5*d + n = 4. What is the first derivative of -4*p**g + 232 - 7*p**2 - 249 wrt p?\nAnswer: -22*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8890795387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -151*z. Let w(j) = 131*j**2 + 2. What is l(w(i))?\nAnswer: -19781*i**2 - 302","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 9380 rounded to the nearest 100?\nAnswer: 9400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*x - 575 = 585. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5 + 4*j**4 + 2*j**3 - 910*j + 917*j - 2*j**3 to t*j**4 + q + p*j**2 + h*j**3 + d*j and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 2 - 1 + t**2 + 2 + 0 - 6*t. Calculate the remainder when 107 is divided by q(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l + 34814*p = 34810*p + 24, 3*l - 12 = 9*p for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 46*s - 91 - 28*s**2 + 189 + 25*s**2 - 98 + 14*s.\nAnswer: -3*s**2 + 60*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*v**3 - 4*v**3 - 3*v**3.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.5 + 9.5. Let q = -9 + o. Sort q, -1, 1 in decreasing order.\nAnswer: 1, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 870909, 870910, 870911?\nAnswer: 870912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -11178, -11290, -11472, -11724, -12046, -12438?\n\"Answer: -35*x**2 - 7*x - 11136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -4307 + 104?\nAnswer: -4203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -23 - -24. Solve -9 + l = 2*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 531 = 60*a - 1029 for a.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 583467 and 387?\nAnswer: 1750401","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) be the second derivative of d**5\/20 + 7*d**4\/6 + 2*d**3 - 7*d**2 - d - 11. What are the prime factors of f(-10)?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4168, 8550, 13350, 18778, 25044, 32358, 40930?\nAnswer: 50970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 times 315894?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x**2\/5 - 78*x\/5 - 16 = 0 for x.\nAnswer: -1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 94031?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 10, 40, -3 in descending order.\nAnswer: 40, 10, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*m + 5 = -49. Let i be (3\/6)\/(m\/18). Suppose -9\/4*v**2 - 1\/4 + i*v = 0. What is v?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 7, f: 6}. Give prob of picking 1 x and 1 f.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*r - 38375 - 29310. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -10 - -12. Suppose -3*y = 2*l - 98, -33 = -u*y - 4*l + 19. Calculate the greatest common factor of y and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 178 + -191 + (0 - -23)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2201100346?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 11399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) be the first derivative of f**6\/2340 - 3*f**5\/260 - 16*f**3\/3 - 6. Let i(x) be the third derivative of b(x). Let i(v) = 0. What is v?\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -x**3 + 2*x**2 + 3. Let l(o) = o**3 - 8*o**2 - 19*o - 8. Let i be l(10). Let a be v(i). Let b be (-2)\/(-4) + 7\/2. Solve -r - b = -a*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 9*u - 19*u + 27 + 14*u. Calculate the remainder when q(7) is divided by (-14 - (1 - 0))\/(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -131, -243, -351, -455, -555, -651, -743?\nAnswer: -831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 2*c + 3 = -5, -19 = -3*m - 5*c. Let p(z) be the third derivative of z**6\/20 - z**5\/60 + z**4\/24 + z**3\/2 + 19*z**2. Is p(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -33 - -25. Let z be (142\/5)\/(r\/(-20) - 0). Let o = z - 66. Solve -o = -2*s - p - 2, 3*s + 15 = 5*p for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 2 h when three letters picked without replacement from hkhhhhkkhkkhk?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 14935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = w + 7. Let t(z) = -1 - 5 + 3. Suppose 4*i = -3*k + 16, 3*i + 14 - 5 = 3*k. Suppose -13 = k*u + 7. Give u*t(y) - 2*x(y).\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -8 in 106\/9, -0.4, -0.04?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-85 - -75 - (-3 - -1 - -14)) + -6?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a microsecond in nanoseconds?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 132004 is divided by 43922.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is four thirds of a century in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) be the first derivative of 10\/3*a**3 - 10*a - 7\/2*a**2 - 1. Let b = 7 - 14. Let z(u) = -3*u**2 + 2*u + 3. Determine b*z(r) - 2*f(r).\nAnswer: r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/15 in 0.044, 0.4, -0.1, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*c**3 + 616458127*c - 616458127*c.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -9723641 or -9723642?\nAnswer: -9723642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4763154, -9526326, -14289518, -19052730, -23815962, -28579214, -33342486?\nAnswer: -38105778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -848 = -4*f + 2*q, -5*f - 5*q + 303 = -787. Suppose -3*v + v = -f. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -6*t + 20. Let i(c) be the first derivative of -c**2 + 7*c + 13. Let n(w) = 4*b(w) - 11*i(w). Give n(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6 + -5.6. Let w = p + 0.1. Let y = 224\/13 - 1357\/78. Which is the smallest value?  (a) -0.2  (b) -2  (c) w  (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 45 a factor of 1539064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -658 + 660 - 6*r**3 + r**3 + r**3.\nAnswer: -4*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 k when two letters picked without replacement from {j: 3, v: 2, a: 1, k: 1, b: 3, w: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 3*z**2 - z - 5. Let p = 7 - 12. Let r be k(p). Suppose -i + 4*u = 2*i - r, 0 = -4*u. Is 12 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2180*p + 814 with respect to p.\nAnswer: 2180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18731*o**2 + 18894*o**2 - 21985*o**2 + 25649*o**2.\nAnswer: 41289*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -6377666 divided by 93?\nAnswer: -6377666\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:46 PM and 8:29 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 + 6 = o. Let u be 140*(-1)\/o*-3. Suppose -u*d + 24 = -104*d. What is the least common multiple of 30 and d?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cyzc when four letters picked without replacement from {c: 5, z: 2, y: 2}.\nAnswer: 5\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sdcrsfcfcdfcccscsf. What is prob of sequence cs?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -237, -2, 2\/9, 9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(228) - 6*(sqrt(228)*-3 + sqrt(228))) + (sqrt(228) + sqrt(228)*5 + sqrt(228) - sqrt(228))*-1)\/(2*sqrt(588)*-2*-3))**2.\nAnswer: 19\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(27)\/(sqrt(9)*1) + -2 + sqrt(3) + sqrt(363) + 1 + sqrt(36)\/(sqrt(192) - sqrt(12)))**2.\nAnswer: -80*sqrt(3)\/3 + 1603\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w - 31 = 4 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + q + 4 = 3*q, -q + 3 = 0. What is the least common multiple of 2 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = -0*b - 8. Suppose -b*d + x + 12 = -2*x, 2*d - 3*x = 0. Solve -5*j - a = -d, j - 4*j = -2*a - 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 31\/9 and 10\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7 (base 8) to base 7.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5278075 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -78093540004 + -169?\nAnswer: -78093540173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 14277025 and 315.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1690*b**2 - 852*b**2 - 852*b**2 + (-b + 4*b - b)*(3*b - 4*b + 3*b - 3 + 2*b + 3 + (-1 - 4 + 2)*(2*b + b - 2*b)) to i*b**2 + p*b + j and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -45.4308 to zero dps.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of (33 - 38) + (-148)\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18.18668275 rounded to two decimal places?\nAnswer: 18.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 + 36\/(-45))*5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (-357)\/(-17)*4\/(-14)*-1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -147.47 - -865\nAnswer: 717.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -44 + 54. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18838591 is divided by 83?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 1415, 1424, 1445, 1484, 1547, 1640, 1769?\n\"Answer: s**3 + 2*s + 1412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.08 + 0.38. Let l = -171 - -176. Which is the third smallest value?  (a) 1\/3  (b) u  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 9*k**2 - 193*k + 623. Calculate g(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2 + 1 + 6\/(-2). Suppose 3*u - 2*n = -0*n + 51, i = -n - 3. What is the remainder when 28 is divided by u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-45)\/27 + (-4)\/(-6). Let j = 6 + g. Suppose 3 = j*q - 277. What is the greatest common factor of 8 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 1 + 0)*(-5 - 4*p + 5)*(4 - 5 - 1)*(-16*p + 34*p + 22 - 16*p).\nAnswer: 80*p**2 + 880*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 1527, 3065, 4601, 6135, 7667, 9197, 10725?\n\"Answer: -v**2 + 1541*v - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5, -12, -21, -32, -45?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -8330*o - 223. Is i(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0004033276503 to six dps.\nAnswer: -0.000403","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 20904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hlp when three letters picked without replacement from spshlepsspp?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 187908486 to the nearest integer?\nAnswer: 13708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -5.1 and 1.5?\nAnswer: -7.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -52, 0.4, 6\/7 in increasing order.\nAnswer: -52, 0.4, 6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*z**2\/3 - 61552*z\/3 + 236790544\/3.\nAnswer: 4*(z - 7694)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 82605 and 2625.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -36.8?  (a) 4  (b) 2\/9  (c) -7  (d) -26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - c = -6*c - 21, -x + 3*c + 7 = 0. Let p(y) = y**2 + y + 3. Let w be p(x). What is the greatest common factor of w and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4 - -1320220?\nAnswer: 1320212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/119584114 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((g*g**(3\/2))\/g)\/g)**(4\/7))**(3\/46) assuming g is positive.\nAnswer: g**(3\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10143 is divided by 1443?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 200 and 360?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand -q - 2*q**5 + q + (-q**4 + 0*q**4 - q**4)*(-151 + 30*q + 151).\nAnswer: -62*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 292169 a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -29 + 31839?\nAnswer: 31810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - (6 + -1 + -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 1\/2  (b) -3  (c) 3\/7  (d) -5\/103  (e) -0.774\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 103 minutes after 8:30 PM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 27272 or 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1703*o + 1703*o - 141*o**3 + (-o + o - o)*(o**2 + 1 - 1) - o**3 + 0*o + 0*o.\nAnswer: -143*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -7*a**3 + 30*a**2 + 672*a - 137. What is g(-8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2 + 964.5.\nAnswer: 964.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*((4 + sqrt(1053)*1 - sqrt(1053)) + sqrt(1053) + sqrt(1053))*2)**2.\nAnswer: 5184*sqrt(13) + 152208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-12)\/20 - 102\/5. Let n = -21 - s. Suppose -2*q + j + 107 = n, -q = -3*q + 2*j + 106. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -25 in -0.3, 82, -0.1, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o**(-2\/5)*o)**(-3\/26))**(8\/7) assuming o is positive.\nAnswer: o**(-96\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 1, 3, 2 in increasing order.\nAnswer: -5, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 17*s**3 - 237*s**2 + 4*s - 264. What is c(14)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -y + 64. Let g(m) = -12. Let w(u) = -a(u) - 6*g(u). Let q(c) = 1. Give 2*q(r) - w(r).\nAnswer: -r - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 3142 = 2*g, -2687 = -3*x - 2*g - 330. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y**(-1\/16))\/y)\/(y**(-13\/5)*y) assuming y is positive.\nAnswer: y**(123\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u - 3*u - 5 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*c**4*m**2 + 59*c**3*m - 13*c**3 + 8*c**2*m**2 + 29*c*m**2 + 15*c wrt c?\nAnswer: 48*c*m**2 + 354*m - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*b + b. Suppose 4*p + 2*d + 682 = b, 3*p - d = -5*d - 524. Let o = -120 - p. Does 12 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 134*r**3 - 205*r**2.\nAnswer: 804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -299*y + 621. Give k(5).\nAnswer: -874","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -c*d*k**3 + c*d*k**2 - 34*c*d*k - 8*d*k**3 + d*k**2 wrt k?\nAnswer: -6*c*d - 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 11  (b) -5\/2  (c) 4  (d) 5  (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = -3*h + 75. Let r = h - 6. Solve 0 = -3*q + 4*l - r*l + 3, 3*q = 4*l - 24 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + sqrt(176)*2 + -3*sqrt(1100)*3 + sqrt(1100).\nAnswer: -72*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1231310221 (base 4) to base 8.\nAnswer: -1556451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1911 a multiple of 159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 2994067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 827?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:45 PM and 6:26 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the third derivative of f**4\/24 + f**3\/6 - f**2 + 10*f. Suppose -20 = 5*o + 5. Determine x(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -35941 or -35963?\nAnswer: -35941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2 + 0. Suppose -5*z = a + 6, -4 - 4 = -a + t*z. Suppose -a*d - 4 = -16. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 75.01324078 rounded to 1 dp?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = -5*v - 5, -2*h + 2*v - 1 = -19. What is the closest to 1 in h, -1, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 365715096 divided by -1775316\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) -0.2326  (b) -0.19  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -7  (b) 382  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 635120351?\nAnswer: 103, 1051, 5867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -8786, 16 in decreasing order.\nAnswer: 16, -2, -8786","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*y + 3 - 0. Let u be (-2)\/y + 18\/8. Let t = 0.4 + -0.6. Which is the nearest to 0.2?  (a) t  (b) 1\/6  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((sqrt(76) + 1 - sqrt(76))**2 + sqrt(76))*-2*2*-5.\nAnswer: -200*sqrt(19) - 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = t**3 - t**2 + t + 10. Let x(z) = z**3 + 69*z**2 - 52*z + 1264. Let b be x(-70). Calculate q(b).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 245280 is divided by 5332?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (2\/(-2))\/((-15)\/300*8*1040\/(-26))\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/101?  (a) 3  (b) 1\/6  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6 + -4. Let l(y) be the first derivative of -y**j + 2*y + 2*y**2 - 2*y**3 - y**2 - 4. Find the first derivative of l(q) wrt q.\nAnswer: -12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 10*n - 260. Calculate i(25).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fnfffffmnflff. What is prob of sequence nff?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c = 5*m + 44, 3*m + c + 2*c = -24 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = -13 + 1. Let y = b + 24. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 26237549\/12 - 2185124. Let n = -1333 + m. What is the common denominator of 7\/63*(-76)\/6 and n?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 20 and 51254530?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) be the second derivative of 13*z**4\/12 + 7*z**3\/6 + 5*z. What is the second derivative of v(n) wrt n?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 363027, 1452084, 3267181, 5808318, 9075495, 13068712, 17787969?\nAnswer: 23233266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 133401?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -657, -2\/19, 12.\nAnswer: -657, -2\/19, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*-6*sqrt(12)*-1)\/((sqrt(96) - sqrt(96)*1) + sqrt(96) - (sqrt(384) - sqrt(384)*-1)).\nAnswer: 5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) be the second derivative of b**3\/2 + 2*b. Let l(m) be the second derivative of 7*m**3\/6 + 195*m. What is g(l(u))?\nAnswer: 21*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 87 is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -25 + 51. Let a = -6 + t. Is a a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -2*u**2. Let p(a) = -982*a. What is p(y(b))?\nAnswer: 1964*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 41961734 is divided by 147?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*h**5\/5 + 12*h**4\/5 - 36*h**3\/5 - 162*h**2\/5 + 81*h\/5 + 486\/5.\nAnswer: 3*(h - 3)*(h - 2)*(h + 3)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8*a + 14*a - 8*a + (-2 + 2*a + 2)*(1 + 1 + 1) + 2 - 2 - a to the form s*a + g and give s.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/417?  (a) -3  (b) -2  (c) 0.5  (d) 0.4  (e) 0.08\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (2\/(-6))\/(1\/(-18)). Let w be 7 - (-3 + 1 + k). Find the second derivative of 3*d + 6*d - 19*d + 8*d**w wrt d.\nAnswer: 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 255036600\/243*(6\/4 - 0). Round a to the nearest 100000.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 12.546 + 0.054. Let l = -11.6 + d. Which is the third biggest value?  (a) l  (b) -1  (c) -0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 34 - 34. Suppose -2 = 4*s + o - 6*o, r = -s - o + 4. Suppose -2*f + 199 = -s*m + 3*m, -4*f - m = -397. Calculate the greatest common divisor of 9 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s**6*s*s)\/(s*s\/(s\/(s\/s**(-1))))*(s**(1\/4))**(-41))**(-4\/7))**16 assuming s is positive.\nAnswer: s**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(18) + 5 + -1)*6)**2.\nAnswer: 864*sqrt(2) + 1224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1.58, -0.2, -158, 4\/5?\nAnswer: -158","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.0674 - 0.139.\nAnswer: -0.2064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 875 + -579. What is the highest common factor of l and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 5*i - 5 = 15, 4*i + 16 = 0. Suppose k + 4*k - 30 = d. 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 thousands digit of 1429567614?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 24\/78*13\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -14*b**3 + 6*b**2 - 22*b - 25080.\nAnswer: -42*b**2 + 12*b - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1681023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2836?\nAnswer: 2, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 18826495.2 milliseconds in days?\nAnswer: 0.21789925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -2*i**2 + 3*i - 72*i**3 + 9386 - 9383 + 3*i**2. Calculate h(-1).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -822 + 770. Let c = -206 + 385. Let j = c + o. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.5 from 52833.\nAnswer: 52833.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 66 - 9. Let t(n) = -2*n**2 + 2*n**2 + 12 - 12*n - n**2 - 10. Calculate the remainder when k is divided by t(-9).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) be the first derivative of -m**3\/3 - 3*m**2 + 3*m + 1. Let l be v(-5). Suppose 4*z - l = 2*q, 4*z = 9*z - 20. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 123 + -84. Let u = b - 34. Suppose -u*v - 974642 = 25358. What is v rounded to the nearest 10000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -13\/4, -0.3, 2\/17, 2\/15, -1, 1.2, 2812?\nAnswer: 2812","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -2250231 times -1?\nAnswer: 2250231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -3 - (0 - 1) - 8. Let b(h) = -h - 10. Let x be b(c). Solve x*w + 5*w = -10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*y - 5*y + 4*y + y + 0*y + 0*y + (2 + 0 - 3)*(0*y + 0*y - 2*y) + 0*y + 2*y + 0*y - 2*y + 1 - 1 + 0 + 0 + y - 195*y + 144*y + 301*y + 395*y + 38*y.\nAnswer: 689*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 2*h - 5*h, -5*o + 3*h = -84. Suppose o = 4*l + l. Suppose -16 = f - l*f. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 3*v**2 + 21*v + 16. Let m be l(-6). Which is the closest to -2\/3?  (a) 3\/7  (b) 0.4  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -0*p - 5*p. What is the remainder when 3 is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -y + p + 7, 0 = -4*y + 5*p + 34 - 1. Suppose -t - y*t = 5*l - 345, -2*t + 231 = 3*l. Is 24 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (168\/(-16))\/((-2)\/4). Let f = k - 10. Let u = 16 + f. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2 + -5. Let w = -22 + 25.7. Let y = 0.3 + w. Which is the biggest value?  (a) y  (b) 2\/7  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhhhh. What is prob of sequence hhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) be the second derivative of r**3\/3 + 5*r**2\/2 + r + 4. Let z(m) = -2. Let c(p) = -w(p) - 4*z(p). What is c(7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, -2, 30, 3 in decreasing order.\nAnswer: 30, 3, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -29*i**3 - i. Let m be a(-1). Let v be m\/9*36\/20. What is the highest common divisor of 6 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -67\/1344 and -197\/6720.\nAnswer: 6720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 87\/2104 and 83\/1578?\nAnswer: 6312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 27 - 18952649719\nAnswer: -18952649692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3216, -6439, -9662, -12885, -16108, -19331?\nAnswer: -22554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 4732.754 centimeters in nanometers?\nAnswer: 47327540000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 196478359.\nAnswer: 7, 11, 449, 5683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -799248 (base 12) in base 10?\nAnswer: -1944344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of 5 and 5322523.\nAnswer: 26612615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 211 minutes after 5:38 PM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5.06 + 5.05. What is the closest to y in 2\/15, 3, 1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 4, 486, 2, -4 in descending order.\nAnswer: 486, 4, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 288 = 3*f, 0*h + 5*h = 5*f + 730. Calculate the remainder when h is divided by 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-7)\/1134*-1389 - 8. Is v at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14419640?\nAnswer: 2, 5, 37, 9743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -4442 + 7*i**4 + 9*i**4 + 14*i**3 + 10*i - 566 - 15*i**4 wrt i.\nAnswer: 4*i**3 + 42*i**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 1768, 2603, 3438, 4273?\n\"Answer: 835*p + 933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 3\/5, -1\/21 in ascending order.\nAnswer: -5, -1\/21, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -3*u**3 - 2*u**2 + 4. Let n(w) = -5*w**3 - 3*w**2 + 7. Give -4*n(h) + 7*s(h).\nAnswer: -h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = -4*u + 8, -u + 5*u = 3*g + 8. Solve 14 = 3*c + 3*l - 16, -5*c - 2*l + 35 = g for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 39 divide 4686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 91503954?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 + 3)*(-4*r**4 + 5*r**4 + 2*r**4) + 2*r**3 + 1110 - 2217 + 1108 + 68*r**4.\nAnswer: 77*r**4 + 2*r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1716?  (a) 3  (b) -2\/71  (c) -5  (d) -2\/13  (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 311230 by 5.\nAnswer: 62246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(363))**2 - (-6*sqrt(6)\/sqrt(2))**2) + 4.\nAnswer: -22*sqrt(3) + 260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 14720 + 22321?\nAnswer: 37241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5*(-66)\/(-55)*10\/((-60)\/14).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2043135.\nAnswer: 3, 5, 45403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -27*v**3 - 59*v**2 - 4*v + 60. Let n be b(15). Round n to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 112466353 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16960485 is divided by 5653494?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 116 - 117. Sort 5, w, -1\/8, 0.\nAnswer: w, -1\/8, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k**2 - 120*k - 396 = 0. What is k?\nAnswer: -3, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -a - 3*m + 49 - 62, -4*a + 3*m + 8 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -4*c**2. Let k(y) = -y**2 - 22 + 38 + 8*y**2 - 16. Give k(d(w)).\nAnswer: 112*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -p - 624 + 626. Suppose r = -3*r - 20. Put -4, p, 12, r in decreasing order.\nAnswer: 12, p, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.006 or 421?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 5*t - 22. Give k(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 2*w + 17. Let p(s) = -s - 11. Let x(z) = -8*p(z) - 5*v(z). What is the remainder when (2\/(-1) - 22)\/(-1) is divided by x(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 4, -3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v**6*v*v\/(v\/(((v**(3\/34)\/v)\/v)\/v)))\/(v**(-44))**(2\/21) assuming v is positive.\nAnswer: v**(6625\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 41 from 0.2481.\nAnswer: -40.7519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or -2\/29297497?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Let z = -395 - -392. List the prime factors of (z - -1)*6*872\/(-12).\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3\/5?  (a) 2  (b) -6759  (c) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -v**3 - 1306*v**2 - 11664*v + 90. Give q(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3\/5 in -0.2, 23, -79?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-10)\/(-70)*0 + 18\/1. Suppose -4*r = -4*l + 12, r + 1 = -4*l + g. Solve -i + 19 = 4*v, -4 = -i - r for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) be the third derivative of l**10\/756000 + l**9\/37800 + l**8\/14400 - 7*l**5\/5 - 77*l**2. Let y(s) be the third derivative of q(s). Factor y(g).\nAnswer: g**2*(g + 1)*(g + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.4 - 0.2. Let v = -12.1 - -11. Let q = -1 - v. Sort q, 5, r in descending order.\nAnswer: 5, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kjykmyykkjmjkjkjkccc. What is prob of sequence jjm?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:33 AM and 4:04 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*i - 2*i - 2*a + 4, 2*a - 12 = -8*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/3?  (a) 0.1  (b) 2\/3  (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 3, n: 2, p: 1, k: 4}. What is prob of sequence cck?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 8*k*q + 5248*k + 433*q - 2715 wrt k.\nAnswer: 8*q + 5248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.03?  (a) 3\/5  (b) 264  (c) -1\/3  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 77\/9954650 and -61\/143346960.\nAnswer: 716734800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (-14)\/60*6060\/101808\nAnswer: -1\/72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2.3125  (b) 2  (c) 0  (d) -200\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = 4*b + 15, -5*b + 15 = -3*b - 3*j. Suppose b = -0*w - 3*w. Let d = 27\/4 - 67\/12. Which is bigger: w or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**7*((f\/(f**0\/f))\/f)\/f*f*f*f**1\/f*f*f\/(f\/(f\/(f\/f**(-3\/10))))*(f**(-2\/5)*f)**(-19)*(f\/f**(-1\/6))\/(f**(-3\/2)\/f) assuming f is positive.\nAnswer: f**(59\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in fifteen quarters of a kilogram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -470.1 - -470.3. Let i be 2\/24 + (-2)\/6. Which is the nearest to -2\/3?  (a) k  (b) 1\/7  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.02 in 6\/5, -5, -3?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 272616155*x - 272616155*x - 11*x**2.\nAnswer: -11*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*g + 2*v - 10, 4*v - 1 = -g + 5*v. Let j = -98 + 91. Which is bigger: j or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 26 - 9. What is the second derivative of -3*o**3 - 4*o**5 + 12*o + c*o**5 + 3*o**3 wrt o?\nAnswer: 260*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 894542.95 - -10.061.\nAnswer: 894553.011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (j + j - j)*(0*j**3 + 0*j**3 + j**3) + (-16*j + 9*j - 11*j)*(67*j**2 - 67*j**2 + 10*j**3).\nAnswer: -179*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3631952 and 14534.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1968 and 21156?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -3, 7, 3, -2, -0.4, 3\/7, 34\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 88638*v = 177153*v - 88577*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5 + -0.051.\nAnswer: -5.051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = -4*q + 42. What is the greatest common divisor of 168 and q?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*z - 6 = -11*z. Suppose -o = -6*o, -g + 2 = z*o. Let w(f) = 5*f - 2. Determine w(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -4 - 9 + 550*o + 537*o**2 - 183*o**2 - 562*o. What is the units digit of z(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) be the second derivative of -17\/3*u**3 - 124*u + 0 + 1\/2*u**2. Calculate m(1).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -19019240.03 to the nearest one hundred thousand.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-4)\/(-42))\/(4\/(-9)). Let b = 239 - 239.3. What is the smallest value in n, -3, b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -719*f**3 - 3*f**2 + 648*f + 5791. Is d(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence joky when four letters picked without replacement from {o: 1, r: 1, j: 5, k: 1, y: 1}?\nAnswer: 5\/3024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 145, 159, 187, 235, 309?\nAnswer: 415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or 3\/43472854?\nAnswer: 3\/43472854","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i = 14*v - 12*v + 5, -3*i = 3*v + 6. Sort -4, 18, 1, v in increasing order.\nAnswer: -4, v, 1, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 13213 and 18323?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = -4*t. Let i(o) = 3*o**2 + 1. Let g be i(-1). Sort t, 1, g in decreasing order.\nAnswer: g, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 25 - 22. Suppose -3*b = h*o + 456, -o = -b + 184 - 36. List the prime factors of (10\/(-15))\/(4\/o).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 179 + 4*x + 32 - 2*x. Suppose 3*a + a = 0. Is l(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 2010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Are 456\/406327 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0 - -5. Suppose j*b = -5*k - 15, 2*b - 3 = -k - 4. Suppose -3*h = 5*l - 111, 4*l - h = -b*h + 86. Does 7 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3\/(-4) - (-361)\/76. Solve -f*v + 16 = 4*p, 0*v = 3*v - 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6587, -5477, -4367, -3257, -2147, -1037?\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 76, 1\/6, 1\/49, 0.3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28 = 28*f + 4*z, -f + 5448*z = 5449*z - 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 37 + 10 = 0. Let n = w - 7. Solve -n*k + 2*i + 10 = 0, 0*i = 2*k + i - 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-4)\/l*l*l*l**(-1\/2))**(1\/9) assuming l is positive.\nAnswer: l**(-7\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -g**3 + 3*g**2 + 15*g - 4. Let m be x(-3). Suppose -1 = m*v - 11. Solve -6*f - 19 = -v*c - f, -25 = 5*f for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 3*q**2 - 45*q + 79. Let t be h(13). Which is the nearest to 0.1?  (a) t  (b) -2  (c) 2  (d) -1\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 541338199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 487510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 + 41 - 18) + 7 + 7.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -13 + 15. Let n(v) be the first derivative of -1 + 1\/12*v**4 - 1\/3*v + 1\/9*v**3 - 1\/6*v**u. What is o in n(o) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 167\/3240 and -17\/43632.\nAnswer: 654480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -3*(-368)\/12 - 4. Let o = -23 - -31. What is the greatest common factor of n and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -110 (base 8) in base 13?\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - -51351153.\nAnswer: 51351156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 + 7 = 2*p. Suppose -v - p*v = -3755. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 9128 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l + 0*i + 2*i - 2 = 0, 20*l - 433 = -22*l + 44*l - 433*i for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 3, h: 3}. What is prob of sequence yy?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -8 + 5. Let f be ((-20)\/(-8))\/(s\/(-6)). Suppose f*b = 3*o - 5*o - 28994, -4*b - 4*o - 23188 = 0. What is b rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*h - 4*h + 5*h)*(19*h**2 + 12*h**2 - 59*h**2) + (2*h - 3*h + 3*h)*(0*h**2 + 2*h**2 + 4*h**2) in the form t*h**3 + i*h + b*h**2 + q and give t.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - ((1 - -1) + -3 + 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from anadaanannaaaaannntt. Give prob of sequence adnt.\nAnswer: 7\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -8*c + 2*c**2 - 5*c**3 + 10 + 5*c**2 + 3*c**3 + 3*c**3. Is v(-8) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 3*u - 7. Let p be 3016 + 0*u\/(-9). Suppose t + 5*i = -730, 4*t + i - 5*i = -p. What is t rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(2\/49)\/p**17 assuming p is positive.\nAnswer: p**(-831\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2, -0.3, -0.2, 38?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 95\/2256 and 131\/1128.\nAnswer: 2256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 158 - 299. Let z = 66 - y. What are the prime factors of z?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 42636 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -28 + 26 + v**3 - 3*v**3 + 3*v**3 + v + 2*v**2. Let m(u) = -u**2 - u + 1. Determine -2*m(t) - w(t).\nAnswer: -t**3 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2450*o**4 - 19670*o**3 - 74621*o**2\/2 - 1054*o - 15\/2 = 0 for o.\nAnswer: -5, -3, -1\/70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -155.5387 + 149.16. What is c rounded to one dp?\nAnswer: -6.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1788097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 73\/72 and (-65)\/26*28\/6405.\nAnswer: 4392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) be the third derivative of -q**5\/100 + 3*q**4\/20 + 4*q**2 + 3*q. Factor a(z).\nAnswer: -3*z*(z - 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10\/(-6) + 1)*(76 + -73).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3 - 1221?\nAnswer: -1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/8 of a tonne in kilograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 7512 divided by 9?\nAnswer: 2504\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 2, c: 1, t: 3, a: 6, o: 1, s: 2}. What is prob of sequence su?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2.94, 1.8, -3?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/j**(8\/5))**(-31)\/(j**18)**(1\/40) assuming j is positive.\nAnswer: j**(363\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -39 + 40. Let q = 2 + -1.6. Which is the closest to l?  (a) q  (b) -4  (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -14*x**3 + 23*x**2 + 170296*x - 607733654 wrt x.\nAnswer: -42*x**2 + 46*x + 170296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 152 minutes after 10:03 AM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1761?\nAnswer: 3, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that -2*d**5\/9 + 1802*d**4\/9 + 37356*d**3 + 13995764*d**2\/9 - 29007338*d\/9 + 4891190\/3 = 0.\nAnswer: -83, 1, 1065","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -i**3 + 12*i**2 + 15*i - 26. Let s be f(13). Solve -3*o + 8*o - 5 = s for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) be the second derivative of 0*y**3 + 0 - 2*y + 0*y**2 + 1\/12*y**4. Let o(j) = -j + 4. Let k(r) = r - 1. Let x(z) = 4*k(z) + o(z). Give u(x(v)).\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -163 + 1144\/7. What is the third smallest value in -7, q, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 13 - (5 + -1) - 4. Let i(b) = -b**3 + 5*b**2 + b - 1. Let r be i(u). Find the third derivative of -7*v**r + 10*v**4 - 3*v**4 - v**2 + v**5 wrt v.\nAnswer: 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-42)\/9 + (-8)\/(-2). Let y = -0.4 - -0.5. Which is greater: a or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-1) - -2) + 16 + -14?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1\/(-4) + (-5 - 333\/(-36)). Suppose -5*x - 7*y + 2687 = -c*y, 2683 = 5*x + 2*y. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -18599\/8 - -2321. Let d(h) = -3*h - 6. Find the common denominator of d(-9) and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-413*y - 412*y + 821*y + 25)*(-y**2 + y**2 + y**2).\nAnswer: -4*y**3 + 25*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 2*x**2. Let y(c) = 3*c - 5. Let i(k) = 19*k - 31. Let j(f) = -6*i(f) + 39*y(f). Let m be j(4). Let r(n) = -2*n - m*n + 3*n. Determine r(p(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = g. Let d(w) be the first derivative of 4 - 2 + w**2 + 0 - 5. Calculate d(o(h)).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 2*o**2 + 4*o + 2. Let l be (-12)\/(-8) + (-1)\/(-2). Suppose 0 = l*q - 6 - 8. What is the remainder when q is divided by s(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 283 is divided by 57?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-6)\/18)\/((-2)\/(-3)). Sort 1, -9, u, -0.2 in descending order.\nAnswer: 1, -0.2, u, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 37 + -22 + -14 + 4 + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 115*r**3 + r + 3*r - 4*r - 111*r**3.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 18062 and 4334.\nAnswer: 3558214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1078 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 80 greater than or equal to -38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 47688655 and 2975.\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -9 - -2 - -7 - (1 + 256). Let j = y - -263. Solve 0 = 39*l - 36*l - j for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 2*w + 1. Let r be f(-1). Let m be (27\/18)\/(r\/(-16)). Calculate the greatest common divisor of m and 264.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -g**3 - 8*g**2 + 7*g - 7. What is the remainder when p(-9) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:26 PM and 5:23 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*r**2 - 4*r**2 - r**2)*(-r**2 - 2*r**2 + 4*r**2 + (0*r + 4*r + r)*(33 + r - 33)) as y + l*r + d*r**3 + n*r**2 + w*r**4 and give w.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 162.703 plus 5?\nAnswer: 167.703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 0*m + 0 + 6 - 5*m + 14. Let g be w(3). Suppose g*i - 619 = 5*n - 199, -3*n + 258 = 3*i. Is i a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 532\/(-2805) + (-24)\/(-132). Let w = j + 4849\/510. Let t = w - 7. What is the third biggest value in t, -1, -2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 44915144?\nAnswer: 2, 229, 24517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -280828 + 280827.8. Let j = 1.1 + -16.1. What is the third smallest value in -0.4, j, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3003316 (base 7) to base 12.\nAnswer: -150b34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (4\/(-5))\/((-2)\/5). Suppose -7*l + m*l = 0. Suppose -j + 7 = -l*j. Is 3 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10 - (13\/1092*21)\/(5\/(-820)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 36, 42, 34, 6, -48?\n\"Answer: -x**3 - x**2 + 16*x + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34*s - 39*s - c + 17 = 0, -4*c = 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 447 + -446. Solve -f - j = -0*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.3  (b) 14\/9  (c) -4  (d) -116\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) be the first derivative of 3\/14*s**4 - 8\/7*s + 17\/7*s**2 - 32\/21*s**3 - 79. Find q such that l(q) = 0.\nAnswer: 1\/3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1.5349 + -2.07225. Round l to 3 dps.\nAnswer: -0.537","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 5*d - 3 = 19, -4*d = -4*y + 128. What is the remainder when 512 is divided by y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 3, -4, -114, 5 in ascending order.\nAnswer: -114, -4, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 80\/20 + 61*19 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -8 + 8. Let w(y) = y**2 - y - 2. Calculate w(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + -2 - (-6 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -u**3 + 23*u**2 - 38*u + 42. Let h be k(17). What is the highest common divisor of 60 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -6 + 2 + 1*-6. Calculate the lowest common multiple of 7 and (-212)\/(-10) - j\/(-50).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 2720*y - 19. Determine f(0).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = -2*u - 4*w, -5*u - 4*w + 53 = -w. Suppose 0 = 8*m - u*m + 6. What is the third derivative of -3*h**3 + m*h**3 + 5*h**2 - 6*h**5 wrt h?\nAnswer: -360*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-r - 3*r + 6*r)*(-3*r**3 - r**3 + 0*r**3) + (4*r**2 - 5*r**2 + 4*r**2)*(-14*r**2 + 3*r**2 - 3*r**2) as o*r + z*r**4 + k*r**3 + q + h*r**2 and give z.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*h - 104 = -19*h. Solve 2 = 4*r - 2*x, 3*r - x = -5*x - h for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 14 + (13 - 27) - -14\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.06 - 533.\nAnswer: -532.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 55 less than 58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 937114.1 decades in millennia?\nAnswer: 9371.141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 25 by 1131.\nAnswer: 25\/1131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 0*t = -12. Suppose 3*p - 2*p = -28. Is (-1100)\/p + t\/(-21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/(-10)*2055\/(-1918)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*h**3 + h**3 + 4*h**2 - h**2.\nAnswer: -5*h**3 + 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -633*-0.147.\nAnswer: 93.051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 17*b**2 - 19*b - 68. Let d(a) = 6*a**2 - 10*a - 35. What is -5*d(y) + 2*g(y)?\nAnswer: 4*y**2 + 12*y + 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 730190 is divided by 4523?\nAnswer: 1987","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 6*z**2 + 14*z - 59. Is g(-16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 10*m + 22. Let z be c(-2). What is the biggest value in 0.02, -3, z, 0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 3, 0, 153, -1, 5.\nAnswer: -6, -1, 0, 3, 5, 153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 165, 1194, 2911, 5316, 8409?\n\"Answer: 344*j**2 - 3*j - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*a**2 - 630*a + 6075.\nAnswer: -5*(a - 9)*(a + 135)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -2*v - 1. Let a(c) = -c**2 - 10*c + 14. Calculate the remainder when n(-3) is divided by a(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 4719*o - 17. Let w(l) = -10*l + 4. Determine v(i) + 4*w(i).\nAnswer: 4679*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -22016 or -22018?\nAnswer: -22018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 10*j**3 + 28*j**2 + 17*j - 5. Let m(y) = 3*y**3 + 9*y**2 + 6*y - 2. Let a(g) = 2*f(g) - 7*m(g). List the prime factors of a(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*3*4\/(-48)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10 (base 4) to base 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1678\/217 or -9?\nAnswer: -1678\/217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-2 - 0) + 3)*0. Suppose -3*t - 3 = 0, 4*y - 4*t = -a*t + 804. What is y rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -10.95 + 11. Let q = -307 + 306.5. Let c = -0.3 + -1.7. What is the second smallest value in c, w, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 70995, -0.01, -0.4, 3 in descending order.\nAnswer: 70995, 3, -0.01, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 772 + -8502\/11. What is the common denominator of k and -103\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*d**2 - 216*d + 2916.\nAnswer: 4*(d - 27)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - (-5 + 2 + 2 + -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -182851*p**2 - 805706*p?\nAnswer: -365702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j + 0*j - 15 = 0, 3*j = -3*z. Let k = -5 - z. List the prime factors of (-364)\/(-7) - (k - 1).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-57*i + 8296*i - 1906*i - 2223*i + 9190*i)*(0 - 1 + 3) as r + z*i and give z.\nAnswer: 26600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -3796 to the nearest 100.\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -2*t**2 + 31*t - 23. Let b be r(13). Let s(j) = -b*j - 36*j + 69*j. Let u(a) = -10*a. What is s(u(w))?\nAnswer: 90*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -524 - -534. Calculate the smallest common multiple of 14 and h.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5 + -4.99. Let f = -0.41 + d. Let p = f - -0.4. Which is the second biggest value?  (a) 1\/4  (b) p  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*v**0\/v)**42*(v**(-2\/9)*v)\/(v**6\/v))\/((v*v**8*v)\/(v*v*v**2*v))**(1\/2) assuming v is positive.\nAnswer: v**(-121\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-37*y - 2*y**4 + y**2 + 0*y**2 + 29*y)*(-2*y - 5*y + 3*y).\nAnswer: 8*y**5 - 4*y**3 + 32*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -38033*v + 198199*v + 98217*v + 266181*v.\nAnswer: 524564*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of q**4 + 85*q**3 + 199*q wrt q.\nAnswer: 12*q**2 + 510*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 22954, 23154, 23354?\n\"Answer: 200*q + 22754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -783*y**2 - y + 0*y**3 + 807*y**2 + 0*y**3 + y**3 in the form n*y**3 + j*y**2 + g*y + f and give j.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 507405267 to the nearest integer?\nAnswer: 798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -108*f + 540*f + 384*f - 20*f + 100*f to m + g*f and give g.\nAnswer: 896","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -w. Let v(d) = -47853*d**2. What is v(r(x))?\nAnswer: -47853*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sffvvbvbfpffbpvf. Give prob of picking 1 s and 2 f.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 21 - 9 = 0. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-42)\/(-12))\/((-2)\/4). Let g be 3 + j\/((-462)\/205965). Let t = -3125 + g. Find the common denominator of t and -81\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -10*v**3 + 979*v**2 + 12*v. Let q(c) = 8*c**3 - 978*c**2 - 10*c. Calculate -5*p(w) - 6*q(w).\nAnswer: 2*w**3 + 973*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 109511 to the power of 1\/2, to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3837*n - 3835*n - 1882*n**3 + 7672*n.\nAnswer: -1882*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 162 and 756.\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 65*k**3 - 34*k + 2. Let x(j) = j**3 - j. Let v(a) = g(a) + 3*x(a). What is the second derivative of v(f) wrt f?\nAnswer: 408*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 112\/12*(-3)\/(-2). Let m be (-3)\/((-27)\/(-6))*-2*84. Calculate the highest common divisor of t and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35*p = -50 - 90 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (10\/15)\/((-2)\/6). Let y be ((-2584)\/(-57))\/(m\/(-18)). Suppose 5*w + 171 = -t + y, -5*t - 63 = -w. Round w to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 703160, -4, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 182 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sy when two letters picked without replacement from jsyyyysysjjjjjs?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -0.307*142\nAnswer: -43.594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1602844 or -0.2?\nAnswer: 1602844","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 2210230320 (base 4) in base 5?\nAnswer: 133041431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1674 a factor of 6141405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-one halves of a century in decades?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1368\/(-171) + 5*3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 12\/(-10)*25\/(-10). Let v(g) be the second derivative of g**4\/6 - 5*g**3\/6 + g**2 - g. Let p be v(k). Solve 25 = -w - p*h, -1 = 4*w + h + 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-18)\/(-1890) - (14\/15)\/(-7)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -25638a (base 12) in base 9?\nAnswer: -1132757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -491*h - 2944. Let j be i(-6). Solve j*u - 26 = -24*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 3*q + 1212. Let a(z) = -161*z. Give a(c(d)).\nAnswer: -483*d - 195132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) be the first derivative of l**5 + 40*l**4 + 100*l**3 - 328. Let s(f) = 0. What is f?\nAnswer: -30, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -122222110121 + 11202?\nAnswer: -122222021212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28422.\nAnswer: 2, 3, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -14 and 248.28?\nAnswer: -3475.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10 + 29 - 13*y - 7 - 7 - 5.\nAnswer: -13*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0004956604 to seven dps.\nAnswer: 0.0004957","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = i**3 + 10*i**2 + 2*i - 6. Let w be (4 - 4) + (2 + -8)\/1. Is 14 a factor of f(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 - (8 - -2 - (42 + -36)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -177 + 75. Let w = r - -112. Calculate the remainder when 126 is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: 2 (base 10) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -10 in 145, 1\/3, 0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 5*l = 4*g - 28, l = g + 3. Suppose -p + s = 2*s - 15, -5*s = g*p - 15. Solve 4*i + i + p = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -2*y**2. Let w(l) = 23*l**2 - 5*l. Determine w(q(h)).\nAnswer: 92*h**4 + 10*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 6*r**2 + 5*r + 11. Is d(-14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -k**3 + k - 138. Let f be b(0). Let a = -969\/7 - f. What is the second smallest value in -2, a, 8?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3581*r - 631*r - 2426*r.\nAnswer: -6638*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 3 = -0*x + 2*x, 3*u + 4*x = 31. Suppose 2*g = u + 13. Suppose -2*i + g + 9 = 0. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (20*z + 24 - 24)*(7*z - 2*z - 4*z) + (-4*z + 0*z - 3*z)*(0 - 1 - z + 2) as t*z**2 + g*z + i and give t.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z\/(z**(2\/5)*z)*z\/(z\/(z\/z**(-9)*z))*z\/z**(2\/15)*z**(-5) assuming z is positive.\nAnswer: z**(97\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4\/3, 29, 4.1 in decreasing order.\nAnswer: 29, 4.1, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -6*a - 25 + a - 18 - 10*a - a - a**2. What is c(-13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find u such that 9*u**3 + 3\/2*u**4 - 33\/2*u**2 - 90*u + 150 = 0.\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 535250?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2700\/13 or -208?\nAnswer: -2700\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Add 324344.695 and 369.\nAnswer: 324713.695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = h**3 + 2*h**2 - 2*h - 5. Let c(y) = 2*y + 7*y**2 + 4*y**3 - 10*y + 0*y**2 - 20. Let o(v) = -2*c(v) + 9*w(v). Is 2 a factor of o(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (z - 4*z + 0*z)*(-3 + 4 - 3)*(-2 - 1 + 6)*(z - z - z) to the form h*z + f + q*z**2 and give q.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ak when two letters picked without replacement from akvttxv?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 17, -5, 3, 0.\nAnswer: -5, 0, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*f - 13*f**2 - 4*f + (2 - 2 + 2)*(-2*f**2 + 2*f**2 + f**2) + 2*f**2 - f**2 - 4*f**2.\nAnswer: -14*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(2\/7)*o)\/o*o*o*o**17 assuming o is positive.\nAnswer: o**(135\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -12 + -9. Let g = t + 106\/5. Let z(v) = -v**3 - 7*v**2 + 8*v - 4. Let j be z(-8). Which is the third biggest value?  (a) -2\/7  (b) g  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*n + 96 = 5*n. Let c = 7 - n. List the prime factors of c.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.4 from -59669920638624.\nAnswer: -59669920638624.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 60415888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 20 + 14*t + 25 - 19*t. Let j be m(9). Solve j = -s + 4*l - 16, -l + 8 = s - 1 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*t - 4353 + 4163 = 0 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-5 + 2)*-1 - (7 + -7). Solve q + 1 = -d*x, 0 = 6*q - q + 2*x - 8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 241864 + -20a?\nAnswer: 241656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -c**3 + 11*c**2 + 31*c - 31. Suppose 2*p = 5*j + 29, -3*p + 5*p + 1 = -j. What is the smallest common multiple of p and x(13)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -6*u - 1. Suppose 5*h - 11 - 4 = 0. Suppose 0*t + h = t. Let i be 2*(3\/2)\/t. Determine q(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3974, -0.02, 0.4, -0.718.\nAnswer: -0.718, -0.02, 0.4, 3974","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 823 + 192 = 187*i + 267. Solve -17*n + 18*n - 22 = i*z, 0 = n - 2*z - 12 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -65.8 - -66. Put 0.1, 0.02, t in descending order.\nAnswer: t, 0.1, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 16, a: 2}. What is prob of sequence aa?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 9330 and 10926363?\nAnswer: 109263630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.6, -4, 3, -54\/17, -9, -0.4 in increasing order.\nAnswer: -9, -4, -54\/17, -0.4, 0.6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:58 PM and 10:51 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 160 - 155. Solve -w + 3*w + 20 = -i*n, -n + 3*w + 13 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.024228 to 4 decimal places.\nAnswer: -0.0242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 3*c - 25. Let h(i) = -5*i + 38. Let x(l) = 5*h(l) + 8*v(l). What is the units digit of x(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -872302337\/5 - -1759186353\/10. Let u = 1459320 - w. Let o = 1148 - u. Find the common denominator of 37\/11 and o.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 25\/(-2)*(-1 - 1). Let m be 13\/(-20) + 10\/q. What is the nearest to m in 0.1, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 minutes before 4:53 PM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1100543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 122*p**3 - 16*p**2 + 14*p + 67. What is the units digit of x(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 + -11 - (7 - (-39 - (12 + -21 - 4)))\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 172 = 8*s - 4*s, 160 = -4*s - 2*v. Let b be ((-36)\/s)\/(4\/14). Factor 149*m - 150*m + 2*m**2 + 2*m**3 - 3*m**b.\nAnswer: -m*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -2*m - 1180411. Let c(b) = 3*b. Calculate a(c(l)).\nAnswer: -6*l - 1180411","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 394981303.999554 - 394981736. Let p = -432 - j. What is p rounded to 5 dps?\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 78 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 3) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -10 + 12. Let x(h) be the third derivative of h**6\/120 + h**5\/60 - h**4\/12 + h**3\/6 + h**2. What is the units digit of x(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 65 - 65 + 44*f**2.\nAnswer: 44*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) be the second derivative of w**4\/12 - w**3 - 5*w**2\/2 - 12*w. Give j(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + (-1 - 12) + (211 - 194) - (50 - 0).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7*d + 8*d + 3*d + (-18*d + 1415 - 1415)*(-2 + 1 - 1) to u*d + q and give u.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 14*f**2 - 3*f + 10. Is n(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 97478 and 61411140?\nAnswer: 61411140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + 610 = -486. Let b = k - -185. Is b\/(-1 - (-1 - -1)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -168288*b + 168288*b - 402*b**4 + (2*b**2 - 4*b**2 + 3*b**2)*(4*b**2 + 2 - 2).\nAnswer: -398*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = g**3 + 45*g**2 + 84*g - 138. Let f be o(-43). Sort -2, f, -4 in decreasing order.\nAnswer: -2, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -114*d + 124*d - 11520. Is d a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 655 minutes before 12:47 AM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) be the third derivative of -t**5\/60 - 3*t**4\/8 - 4*t**3\/3 + 28*t**2. Determine o(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-128)\/(-192) + 22\/(-24))\/(4\/(-5383856)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(896) + 3*sqrt(14)*-4)\/((sqrt(2058) - (sqrt(2058) - 1*sqrt(2058) - sqrt(2058)))\/(sqrt(864)*-2)).\nAnswer: -48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -291*w + 103*w - 281*w.\nAnswer: -469*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 78308441 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (17*t**3 + 12*t**3 - 7*t**3)*((4 - 4 - 2*t)*(-2 + 2 - 2*t) - t**2 + 0*t**2 + 2*t**2).\nAnswer: 110*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 11110110011 (base 2) in base 15?\nAnswer: 8b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 4*j + 5*j**2 - 3*j**2 - j**3 + 2 - 5*j**2. Let t be b(-4). Suppose 0 = -7*k + t*k + 90. Calculate the least common multiple of k and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6)\/(-3))\/((2632\/(-2303))\/((-4)\/(-7))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = d - 1. Let v be u(2). Let r be v + -1 - (-2 + 0). Suppose 107 = r*s + 31. Does 19 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 79252979?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*-1*sqrt(10))\/sqrt(5).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1304 (base 12) in base 15?\nAnswer: 994","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0001778473 to six decimal places.\nAnswer: -0.000178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8\/40*5)\/((-105)\/1785).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 4*p - 2. Let j(l) = -11*l + 7*l - l + 2. What is -6*j(c) - 7*v(c)?\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 4*j + 18. Let f be j\/6*90\/(-12). Suppose -f*y = -0*y - 25. What is the remainder when y is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -27*l**2 - 4*l + 4. Let a(o) = -22*o**2 - 3*o + 3. Let z(m) = -4*a(m) + 3*y(m). Let i(r) = -r**2 + 2*r**2 + 2*r**2 - 6*r**2. Calculate z(i(s)).\nAnswer: 63*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 104 divide 97243328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.5 + 263121.12346155.\nAnswer: 263120.62346155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 59 + -61 + 0 + -2 + 8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1433?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.2  (b) -0.35  (c) 5  (d) -5  (e) -39\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 13\/4 of a gram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 63  (b) 0.3  (c) 10\/7  (d) -11  (e) -2\/5  (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2479409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1\/69 - -49\/207. Let z(w) be the first derivative of -b*w**3 - 2\/3*w - 2\/3*w**2 + 2. Let z(x) = 0. What is x?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c**3\/2 - 6930297*c**2 - 24014515184400*c - 48029002647616 = 0.\nAnswer: -6930296, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1377)*-1 + sqrt(1377) + sqrt(1377) - sqrt(1377))**2 - (sqrt(17)*-1 + -4).\nAnswer: 4 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.1  (b) -21.2  (c) 0.45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 50, -2388, -15, 5, -1, -5 in decreasing order.\nAnswer: 50, 5, -1, -5, -15, -2388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) 174446  (b) -0.04  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1\/(-3) + 1\/3. Suppose l = 4*s - 2 - 6. Let d(j) = -s*j - 2*j - 3*j + 1. What is d(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 1 = 7. Let j be (-36)\/(-10) - (-4)\/10. Find the third derivative of -2*v**g + 4*v - j*v + v**2 - 4*v**2 wrt v.\nAnswer: -240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 368 divided by 23.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 4*p + 6. Calculate h(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 56*z**2 - 24*z - 52. What is the hundreds digit of f(-24)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 22\/((-6732)\/17)*8\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 31.034 - 63.103. Let x = y - -0.069. Let q = -32.0000189 - x. What is q rounded to 6 decimal places?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -100*h**3 + 5749080*h**2 - 4599216*h + 919840.\nAnswer: -4*(h - 57490)*(5*h - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 479477 to the power of 1\/3, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.808073 millilitres to litres.\nAnswer: 0.000808073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 390 + -397. Suppose 0 = 3*y - 5*x, -4 - 1 = -4*y + 5*x. Put h, y, -4 in ascending order.\nAnswer: h, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 - 3 - 281872*p**3 + 22 + 281868*p**3.\nAnswer: -4*p**3 + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 887 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (-4 - 9) + 9 + -5 + 5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-228)\/(-114))\/(1*-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*-4*((1 + sqrt(405) + -1 + 0)**2 + ((-1 + sqrt(405) - sqrt(405)) + -3)**2 + 2).\nAnswer: 6768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:45 AM and 10:45 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -2*k**3. Let x(o) = -95*o**3. What is 380*t(m) - 5*x(m)?\nAnswer: -285*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -n**3 + 38*n**2 - 229*n + 76. Give o(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 3.52 and 0.245984?\nAnswer: 3.274016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 8 - 7. Solve -3 + w = -t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-35)\/30)\/(19\/(114\/1)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -12 + 6. Let s = -52 + 53. Let k(i) = -9*i**3 - 6*i**2 - 6*i - 6. Let o(b) = -b**3 - b**2 - b - 1. What is a*o(j) + s*k(j)?\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + 0 + sqrt(720) + -2*(1 + sqrt(125))**2.\nAnswer: -251 - 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (14 - 3*v**2 - 14 + 1)*(-v**3 - v**3 + 3*v**3 + (-4*v - 4*v**2 + 4*v)*(-v + 0*v + 2*v)).\nAnswer: 9*v**5 - 3*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (39984*1)\/(-4) + -4. What is l rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 16*s**3 - 2319*s**2 - 121*s - 3737. Determine w(145).\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -811 in -1, 5, 18?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-5)\/(((y*y**(-1\/4)*y*y*y)\/y)\/y))\/(y\/(y*(((y**(2\/3)\/y)\/y*y)\/y)\/y)*y**7) assuming y is positive.\nAnswer: y**(-193\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4 - -14303022202?\nAnswer: 14303022154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 259691?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*f + 5*f + 10. Suppose d - 10 - 1 = 3*c, -3*c = -f*d + 31. Solve -3*o - l + d = -4*o, 13 = -5*o + 2*l for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 589617 is divided by 465?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (29 - 32) + (3 - (-10 + (-1 - 3)))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -5892.818840168 + -0.3?\nAnswer: -5893.118840168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1740*-64.\nAnswer: -111360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out -12 + -0.523.\nAnswer: -12.523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 36\/(-21) - (450\/(-42) + 11)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((210\/1568)\/(45\/108))\/(6*48\/(-42)).\nAnswer: -3\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -19*a - 3. Suppose -2*j + 7*j + 25 = 0. Let g be z(j). Suppose 0 = n - 5*n + g. Does 5 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1337*h - 1405*h = 884 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 1169*t. Let x(v) = 2*v**2. Determine q(x(j)).\nAnswer: 2338*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 98005.275 seconds in days?\nAnswer: 1.1343203125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 1 + 1 + 4*a + a**2 - 3. Let k = 4 + -3. Let f be (-1 - (k + 2)) + 0. Calculate h(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 65881703 to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 126 minutes before 9:14 AM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -10436 (base 9) in base 5?\nAnswer: -210133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 15) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -48, -69, -86, -99?\n\"Answer: 2*t**2 - 27*t - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -15, 0.7, -0.25 in decreasing order.\nAnswer: 0.7, -0.25, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -4*n + 3*n - 5*v, -15 = 5*v. Let t be (-1 + 0)\/(2\/(-4)). Let q = 6 - t. Is n greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 19, 35, 51?\n\"Answer: 16*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -1\/4, 28, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 2*f - 9. Let r(s) = s**3 - 13*s**2 + 8. Let b be r(13). What is the remainder when 25 is divided by p(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(-22\/5)\/(k**(-11)\/k) assuming k is positive.\nAnswer: k**(38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 835*c**2 + 345*c. Let j(g) = 2507*g**2 + 1036*g. Let x(y) = 2*j(y) - 7*s(y). What is the second derivative of x(h) wrt h?\nAnswer: -1662","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-1\/3))**(1\/10)\/(((k\/(k*k\/(k**(-1\/10)*k))*k)\/k)\/k*k\/(k*k*k**(3\/10)*k*k)) assuming k is positive.\nAnswer: k**(131\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 91757828 divided by 1766?\nAnswer: 51958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence er when two letters picked without replacement from {w: 5, e: 2, r: 12}?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2\/(-20)*(-135)\/18 - (-260)\/80. Let n(d) = 7*d + 10. What is n(y)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9*f - 17 + 2*f + 4*f to k*f + p and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqqtqqtqqtqtqt. What is prob of picking 2 t?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 2*g**3 + g**2 - 2*g + 1. Let f be 6 + (0 - -1) + -3. List the prime factors of p(f).\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -h + 2*h**2 - 2*h**3 + 3*h**2 + 3*h**3. Let y be c(-5). Let u(s) = -7*s + 101. Let j be u(14). What is the nearest to -0.1 in 5\/3, y, j?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 27763 is divided by 176?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4490 - 17665\/4. Let b = z + -74. What is the closest to b in 5, -0.3, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 18617774 and 730.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -15452 + 15452.09981. Let k = -3 + 2.9. Let u = q + k. What is u rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*i*m**2 + i + 197*m**2 + 190*m wrt m.\nAnswer: -4*i + 394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**25\/g)\/(g*g**(-33)))\/(g**(-3\/13))**(18\/5) assuming g is positive.\nAnswer: g**(3694\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 24.4997126 + -0.5002426. Let a = 24 - t. Round a to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 415 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 29*w**2 + 6*w + 15. Is m(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**1*y)**18*y*(y**(-6\/11)*y)\/y*y*y\/y**(-6\/7)*y)**(-13\/2) assuming y is positive.\nAnswer: y**(-20176\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 2367110109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - f - 7 + 2*f)*(-f - 12*f - 9*f)*(5 - f**2 - 5).\nAnswer: 22*f**4 - 198*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.3 - -0.2. Suppose -2*y - 3*j + 6 = -4, -26 = -3*y + j. Let v = 3 - y. Sort 4, v, c.\nAnswer: v, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 3*a**3 - 18*a**2 + 120*a - 413. Determine w(5).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 37865 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 241378 by 3.\nAnswer: 241378\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*p + 83 - 89. Suppose -u = p - 1, 2*x - 5*u - 13 = 0. Solve 0 = -y + 5*y + f + 3, -x*f = -20 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-1300)\/(-351))\/(-20))\/(3*10\/(-6)).\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 139\/13526010 and 97\/120?\nAnswer: 54104040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in eleven quarters of a microgram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(1\/5)*s**17 assuming s is positive.\nAnswer: s**(86\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 158*r**2 - 9*r + 9. Let a(p) = 3*p. Calculate w(a(n)).\nAnswer: 1422*n**2 - 27*n + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k = 20, 9*r - 6*r - 11*k + 9*k - 6 = 11 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -420*w - 452. Let p(u) = u + 4. Let z(c) = b(c) - p(c). What is the derivative of z(d) wrt d?\nAnswer: -421","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -227 or -51218\/227?\nAnswer: -51218\/227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-124956)\/(-39338)*(-17)\/2.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 94986 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**0)**(3\/14)*((q\/(q\/(((q**(2\/9)*q)\/q)\/q*q))*q)\/q)\/((q*q\/q**9*q)\/q) assuming q is positive.\nAnswer: q**(65\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1111 - -7776\/7. Suppose 0 = 5*s - 6 - 4. Suppose j + 1 = s*j. What is the nearest to -0.1 in j, b, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*z**2 - 2*z**4 + 2*z**2 - 1 - 5*z + 7*z + 0*z in the form u*z**3 + o + p*z**2 + q*z**4 + g*z and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 170224?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 678 minutes before 1:50 AM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 49 - -883?\nAnswer: 8cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 9*f**2 + 9. Let l(c) be the second derivative of c**4\/3 + 2*c**2 - c. Calculate 13*l(w) - 6*m(w).\nAnswer: -2*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 3  (b) 1  (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.173 + 1.173. Let l = 29 - 8. Let t = l + -107\/5. What is the third biggest value in d, -0.3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -87403.1952 rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 671612 to the nearest integer?\nAnswer: 820","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -67860*n**4 + 67920*n.\nAnswer: -814320*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + 870 + 602 = 0. Let x(k) = 2*k**3 - 12*k**2 + 5*k + 4. Let b be x(9). Let v = b + c. Is v a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*t**3 + 1718424*t**2 - 4*t - 1718424 = 0. Calculate t.\nAnswer: -429606, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-5)\/36)\/((-1413)\/16956)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 123423807 to the power of 1\/2, to the nearest integer?\nAnswer: 11110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.2 or -18340?\nAnswer: -18340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -m + 1708. Let f(y) = -29*y - 12. Let a(b) = 34*b + 14. Let d(o) = 6*a(o) + 7*f(o). Give w(d(x)).\nAnswer: -x + 1708","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1839?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 153847 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 111 or -0.2?\nAnswer: 111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -10250.9583739809 plus 3?\nAnswer: -10247.9583739809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 560860978 to the nearest integer?\nAnswer: 23683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/3*146\/876. Which is the fifth smallest value?  (a) 0.08  (b) g  (c) -0.3  (d) -11  (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 9, -9, -1, -0.5, 4?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4\/197 + 422\/1379. Let z = 2.5 + -0.5. Let r = z - 2.2. What is the closest to g in -0.3, r, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 83970 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a - 1 - 2*a + 4. Let w = 7 - 7. Suppose w - 10 = -2*s. Determine g(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = n + 430687. Let f be b(0). Let o = 18 + -16. Suppose 3429313 = o*j - f. Round j to the nearest 100000.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 23340 and 21006?\nAnswer: 210060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 903998563 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -2094810 divided by 30\nAnswer: -69827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -k**2 + 9*k - 10. Let p be w(8). What is the common denominator of -33\/4 and (1 + p)\/(3\/(-62))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 546\/(-26) - (-2 - 28)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 10*d**2 - 2. Let k be q(-1). Suppose -13 = k*m - 21*m. Calculate the highest common factor of 8 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 231 = v + 2*o, 2*o = 2*v - 7*v + 1147. Let t = v + -215. Calculate the remainder when 223 is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 24, 11727, -5, -2 in ascending order.\nAnswer: -5, -2, 24, 11727","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 123 minutes after 2:55 PM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rqgq when four letters picked without replacement from {q: 2, g: 1, r: 1, k: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.3*-28792022.\nAnswer: -8637606.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 130044 - -1503?\nAnswer: 131550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(1 + sqrt(108)) + sqrt(108) + sqrt(108) + 2 + sqrt(108) + 5)**2.\nAnswer: 384*sqrt(3) + 1792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:30 PM and 12:34 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 13364, 53385, 120078, 213443?\n\"Answer: 13336*b**2 + 13*b + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 14) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 35 + -23 + (-14 + 7 - -3)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 8) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 0*x + 2*i = 0, -2*x + 12 = -2*i. Let q(c) be the first derivative of 1 + 2*c**3 + 8*c - x*c**3 + 5 - 2. What is the derivative of q(s) wrt s?\nAnswer: -12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {t: 7, i: 4}?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 878*n + 1977. Does 115 divide g(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -19363*p**2 + 15815*p**2 + 1023*p**3 + 1075*p**3 wrt p?\nAnswer: 12588","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15.62405666 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2 and 135\/(-18)*-4*(-2)\/(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -w**3 + 2*w**2 - 2*w + 2. Let f = 310 - 305. Suppose 16*h - 63 = -f*h. Give l(h).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -31 - -63\/2. Let t = 23.2 - 28. Let s = t + 0.8. Which is the second smallest value?  (a) s  (b) n  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 + (-6 - -5) - 4) + (-1 - -17)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 147 + -212. Let s = i - -65.2. Let j = 1.3 + 1.7. What is the second smallest value in -0.1, s, j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -14.9*-32.16\nAnswer: 479.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = f**3 + 5*f**2 - 5*f + 8. Suppose 24 = -7*q + 3*q - 4*v, 0 = -3*q + v - 18. Let l be y(q). Solve 2*r + 11 = -a, -5*r - 24 = a + l for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -2*n**3 - 35*n**2 + 16*n - 33. Let r be o(-18). Suppose -10*p = -7*p - r. Which is greater: -2\/97 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 10}. Give prob of picking 4 a.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 232 and 58.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 48*c + 16 = 50*c - 4*i, 7*i + 33 = c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(24)\/(sqrt(12) - sqrt(24)\/sqrt(2)*-3) + sqrt(450) + -3.\nAnswer: -3 + 61*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -31.3 - -31. Let v = 0.1 + -0.2. Let y = -2\/821 - 4097\/3284. What is the third biggest value in v, c, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -48*y - 292. Give s(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 5966242 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4963 - 4897.73. Let s = g - 80.306. Let t = 15 + s. Round t to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 142338.\nAnswer: 2, 3, 7, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1027 + -1032. Let a = 9581\/31 - 309. What is the nearest to -0.1 in x, 1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 0 - -39?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 12, t: 5, q: 1}. What is prob of picking 2 c and 1 t?\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 - 3 + 315*a**2 + 8*a**3 + 86*a**3 - 2*a**4 - 313*a**2 in the form o*a**3 + z + r*a**2 + b*a + i*a**4 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-52)\/1690)\/((-3)\/39). Which is the closest to -2\/5?  (a) v  (b) 0  (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 455 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eee when three letters picked without replacement from weemwewewrwwwwmre?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*m = 22*m + 6, 465*z - 469*z - 4*m + 326 = m for z.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 106 and 670984770?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 2*c + 15. Let f(w) = w + 9. Let g(p) = 10*f(p) - 6*k(p). Let n(t) = 7*t**2. What is g(n(s))?\nAnswer: -14*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*y - 4*y + 18. Suppose 0 = -y*g + 4*h + 13247, -5*g + 11415 = -4*h - 10674. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1289*n**2 + 6703*n?\nAnswer: 2578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -u**2 - 14*u - 11. Let n be d(-13). Suppose -3*a - f + 187 = 0, -n*a + 123 = f - 2*f. Let q = a + -37. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 787, 786, 785?\nAnswer: 784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 31\/465 - (1 - 236\/60).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(-5 + (-3*sqrt(112)*1 - (sqrt(112)*1*6 + sqrt(112))) + 0))**2.\nAnswer: 3600*sqrt(7) + 101025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 224494*v**3*x**2 - 3*x**2 + 3*x + 1006 wrt v?\nAnswer: 673482*v**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 8, d: 5, n: 7}. Give prob of picking 2 n and 1 c.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -1*2\/3*-3. Let d be (0*3\/(-9))\/1. Suppose -2*c - w - 8 = d. What is the third smallest value in -3\/4, c, -3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 232, 239, 250, 265?\n\"Answer: 2*k**2 + k + 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = -5*t - 12 - 3, -4*v - 2*t + 10 = 0. Suppose 0*p + 15 = v*p. Solve p + 3 = 2*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/5  (b) -2\/19  (c) -43  (d) -0.1  (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34*v + 26*v - 16 = 0. Let m = -37\/60 + -1\/20. Is v < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2001?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v**5 + 8*v**4 + 2*v**3 - 8*v**2 = 0. Calculate v.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:41 AM and 11:10 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = b**3 + 9*b**2 + 5. Let k be r(-9). Sort -5, k, -2 in descending order.\nAnswer: k, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + (-9 - -11) + (0 - 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -7?  (a) 0.2  (b) -5  (c) 0.5  (d) -2\/13  (e) 215\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yw when two letters picked without replacement from {y: 1, w: 5, p: 5, d: 3, q: 6}.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/(-14)*(-56)\/(-84).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 14) to base 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 813149012 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -5*y, t - 311 = -2*t + 4*y. What are the prime factors of t?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -54511796 - 1?\nAnswer: -54511797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 3279736, 3279747, 3279762, 3279781?\n\"Answer: 2*s**2 + 5*s + 3279729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -14508 or -14509?\nAnswer: -14508","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 486077 is divided by 2009.\nAnswer: 1908","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = c**2. Let x(a) = -6*a - 2. Let g(l) = 2*h(l) - x(l). Let y(t) = -4*t**2 - t - 1. Let k be y(-1). What is g(k)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 2*c - 30 - 14 = 0, 146 = -5*l + 4*c. Let m = l + 31. Suppose m*x = x + 488. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p**2 - 123027*p + 5418996 = 0. Calculate p.\nAnswer: -41053, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0, 4\/11, -4, -2\/3?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -4a2 - -9?\nAnswer: -497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9*f - 23*f + 2*f)*(4*f**4 - f**4 - f**4) + f**5 - 6*f**5 + f**5.\nAnswer: -28*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/(i**7*i))\/(i\/((i\/(i\/(i*i\/i**(14\/5)*i)))\/i)*i) assuming i is positive.\nAnswer: i**(-49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8822 = -415*i - 6118 for i.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 26449543 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) be the first derivative of v**3\/3 - v**2\/2 - 4*v + 4. Suppose -5*b = 4*f - 0*b + 18, -4*f + 4*b = 0. Let w be 21\/6 + (-1)\/f. Give r(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -168 - -171. Solve -27*t**m + 2*t**2 + 3*t**4 - 12*t + 36*t**3 - 2*t**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 47*f + 10. What are the prime factors of p(3)?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1)\/(-4) + (-17)\/4. Suppose 0 = v - 6 + 1. Suppose 4*p + p - v = 0. Sort 2\/15, b, p in decreasing order.\nAnswer: p, 2\/15, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 122083\/38820 + 10\/1941. Let l = 902 - 5311\/6. What is the common denominator of l and p?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 18 = 5*i. What is l in -2\/3*l**3 - 14\/3*l**2 - i - 10*l = 0?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = f**3 - 145*f**2 + 422*f + 592. What is r(142)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 7.49946mm?\nAnswer: 7499460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 39 - 26. What is the remainder when 23 is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 4312959*v**4 + 63295023*v**3 + 315423027*v**2 + 561023445*v + 135991122 = 0. What is v?\nAnswer: -283\/59, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -5*m. Let h(k) = 734*k. Calculate h(r(p)).\nAnswer: -3670*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = k - 1. Let w be z(1). Suppose 269 = -2*p + 5*y, -217 = 4*p + 4*y + 251. Let n = 126 + p. Solve 3*g = t - 3, 3*g + n + 2 = w for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -383 + 3065\/8. Which is the closest to 0.1?  (a) t  (b) 0.1  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5782 + -2418. Suppose -4*i = 3*d - 2689, -4*i - h = -9*i - d. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15638 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**31\/l*l**(-32))\/(l**(-4\/5)*l\/(l**(-38)*l)) assuming l is positive.\nAnswer: l**(-196\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.071155 + 0.13462. What is o rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*b - 4*b + 4*b)*(-5*b + 3*b + 4*b)*(-b**3 - 1 + 1).\nAnswer: 4*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 8) to base 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 33 + -10. Let b = -98 + n. Let g = b + 75.37. What is g rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -83 - -92 - (0 - -2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6669, -6681, -6707, -6753, -6825, -6929, -7071, -7257?\nAnswer: -7493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15619 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*f - 2*f - 2*f)*(8*f + 2 - 2) + (-6*f + 4*f + f)*(-2*f + f - 2*f).\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tz when two letters picked without replacement from {z: 2, i: 1, d: 7, t: 2, o: 2, l: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 63\/2720 and 57\/32.\nAnswer: 2720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -21, -2979, -3.\nAnswer: -2979, -21, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -7312720 divided by 152\nAnswer: -48110","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 45 - 10 = -5*l. Let j(i) = -9*i - 2. Let a be j(l). Let f = 91 - a. Does 15 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -2*s**2 - 2*s - 1. Let x be i(-2). Let u(h) = -h - 6. Let y(d) = 2*d + 11. Let c(q) = 11*u(q) + 6*y(q). Give c(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 1 + 4)*(-p**5 + 2*p**5 + 0*p**5) + p**5 - 3*p**5 + 5*p**5 + 2*p**4 - 2*p**4 + 4*p**5.\nAnswer: 8*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 21 + 67. Let f = i + -74. Suppose 0 = p - 42 - f. Is p a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -90*b - 149044 = -104*b. List the prime factors of b.\nAnswer: 2, 5323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 62 - 25. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*a + 3*a - a)*(568*a**4 + 374*a**4 - 282*a**4).\nAnswer: 1320*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1644 - 1678. Let u = 4289539.8799947 - 4289573.88. Let n = u - i. Round n to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*k**3 + 9*k**2 + 54*k.\nAnswer: -3*k*(k - 6)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 13655?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2.5 + -2.615. Let n = 450 - 454.885. Let b = f + n. What is the fourth biggest value in b, 0.2, -0.4, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) -2  (b) 4  (c) -1\/6  (d) 0.1387  (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by 1315854?\nAnswer: -5\/1315854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-40)\/350)\/((-4)\/(-10))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 5*a**2 - 34*a + 31. Calculate k(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 28\/112*(-16)\/(-5)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (2 + -1)*((-3 - -7) + -1). Solve j*d + 2*t - 21 = 0, -3*d + 12 = t - 6 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*z + 21 + 29. Suppose 2*r - 4*x + 20 = -r, -z = -2*x. Differentiate t**4 - 5*t**4 + 4 + r wrt t.\nAnswer: -16*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 2374, 2373, 2372?\n\"Answer: -m + 2375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + 45249402.\nAnswer: 45249400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) be the first derivative of 3*s**2\/2 + 117. Let x(i) be the first derivative of i**2\/2 - 1. Determine d(x(a)).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 120?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = m**3 - 4*m + 19. Let t(f) = -f**3 + 3*f - 18. Give 4*t(r) + 3*w(r).\nAnswer: -r**3 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 2 s when three letters picked without replacement from ffssc?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*x - 22 + 46 = 0. Calculate the greatest common divisor of x and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11544 is divided by 5766.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.061465 to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 9, o: 7}. Give prob of picking 2 o and 1 x.\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7)\/24*(208\/(-65))\/(12\/45)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-20)\/(-6)*120\/50. What is the units digit of ((-9)\/(-4))\/(3\/q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -55584 divided by 6\nAnswer: -9264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 384, 1569, 3564, 6369, 9984?\n\"Answer: 405*z**2 - 30*z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q**(-2\/13)\/q*q*q\/q**(9\/5)*q)**36*(q**2\/q)**(-1\/12)\/(q\/q**2*q**(4\/7)) assuming q is positive.\nAnswer: q**(207517\/5460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 27*v**2 + 58*v + 28. Let k(b) = -216*b**2 - 462*b - 225. Let p(d) = 33*f(d) + 4*k(d). Suppose p(x) = 0. Calculate x.\nAnswer: -2, -4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 253165?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 10871 - 3709 - 2*b**2 - 3429 - 3479. Let c(h) = -3*h**2. Determine c(v(d)).\nAnswer: -12*d**4 + 3048*d**2 - 193548","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 224*c**2 - 1670*c**2 - 55*c + 37*c + 18*c + 9*c**3 to the form j*c**2 + s*c**3 + y + i*c and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - i)*(2 + 0 - 4)*(48 - 15 - 16) - 1 + i + 1.\nAnswer: 35*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 52*v**2 - 25*v + 14. Let t(s) = -15*s**2 + 8*s - 4. Let i(j) = 2*n(j) + 7*t(j). Let c = 20 + -14. Determine i(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -134 - -136. Solve 2*s - 10 = -g*f, -2 = 5*f - s + 3 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) -0.5  (b) -0.1  (c) 0  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.12 - 0.28. Let h = o - -0.42. Let v = -0.25824 + h. Round v to four decimal places.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3 - ((-3)\/1 - -12). Suppose 0 = -5*s + 5*n - 10, -n + 2 + 2 = 0. What is the units digit of ((-4)\/i)\/(s\/15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10250 times -0.03\nAnswer: -307.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x + 30 = 11*x. Solve -x*q = u + 13, 3*q + 3*u + 17 = -q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2451, 3\/26, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*a - 9 - 3. Let k be 6\/(a - (-2)\/2). Let g(h) = -h**3 - 3*h**2 + 3*h + 1. Give g(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) be the third derivative of -5*l**8\/6 + l**5\/60 + 33*l**4\/8 - l**3\/3 + 571*l**2. Find the second derivative of a(n) wrt n.\nAnswer: -5600*n**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -22416, -45961, -69506, -93051, -116596, -140141?\nAnswer: -163686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 203615025 to the nearest integer?\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -s**2 - 6*s - 3. Let c be o(-5). Let d = -5 + c. Let k be 6\/((8 - 3) + d). Solve 0*p + 9 = f + k*p, -6 = -2*p for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:45 PM and 2:27 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 21875284 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*g + 4*g = 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -0.06939 times 1477\nAnswer: -102.48903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 10, o: 4, z: 2}. What is prob of picking 1 o and 3 e?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -14747\/7 - -2107. What is the third smallest value in 4, 0.2, a, 25?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/2  (b) -5  (c) 0.3  (d) 42  (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -285945.1 - -3941078.1. Let v = 3655177.00039 - r. Let d = v + -44. What is d rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 6  (b) 3134  (c) -1\/4  (d) 1\/3  (e) 75\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-9975)\/4 - 40\/160. Which is bigger: -2492 or n?\nAnswer: -2492","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -9  (b) -0.2  (c) 5  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4\/29 + 17\/87. Which is the closest to 2?  (a) y  (b) -4\/5  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-13 - (22 + 4 + -22 + -18)) + (-104 - -2)\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*m - 2*f + 11100 = -13*m, -5*m + 5*f = -55485. Is m a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = 6*g - 585. Let u = -63 + g. Let d(i) = 3*i**2 + 2*i - 1. What are the prime factors of d(u)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 177336?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 390 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 2*n**2 + 11*n + 7. Let i be v(-7). Suppose -5*g + i = -g. List the prime factors of g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 41121, 41119, 41117?\nAnswer: 41115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -46 - -83. Let i = g + -37.3. Which is the nearest to 0.01?  (a) i  (b) -1\/6  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pcarfanpf. What is prob of sequence apfp?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand -g + 0*g + 3*g + (-g - g + 0*g)*(-3 - 1 + 6) - 3 - g + 3 + (-11 - 5 - 5)*(-2 + g + 2).\nAnswer: -24*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 402 minutes after 10:59 PM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4\/3 + 2\/3. Suppose -4*c + t + 651 = -349, d*t = 8. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 415 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 376128156 to the power of 1\/2, to the nearest integer?\nAnswer: 19394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -564*t**2 + 2*t - 2. Let s be b(1). What is s rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m = -16, -3*x + 2*x + 10800004 = m. Round x to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -s**2 - 5*s + 1. Suppose -31 = -5*o + 4. Suppose -6*a - 13 = -o*a. Calculate the remainder when a is divided by i(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 574118 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00001461494 to seven decimal places.\nAnswer: 0.0000146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.348?  (a) -3  (b) -4\/7  (c) -4  (d) -39  (e) 40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2412\/1072 - (-667)\/4. Solve 215*w = u*w - 184 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) be the second derivative of -m**6\/6 - 2*m**5 - 10*m**4\/3 + 80*m**3\/3 + 120*m**2 - 59*m + 9. Factor o(r).\nAnswer: -5*(r - 2)*(r + 2)**2*(r + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 81 a factor of 342711?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22943357.\nAnswer: 22943357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l**0)\/(l**(-1\/24)*l))\/((l\/((l**0\/l)\/l)*l)\/(l*l**(-2\/7))) assuming l is positive.\nAnswer: l**(-545\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 212096 and 384.\nAnswer: 636288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3206.\nAnswer: 2, 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) be the first derivative of -c**2\/2 - 3. Suppose -3*k = -5*q + 19, -3*q + 11 = -4. Let r(p) = p**k - p**2 + p**2. Calculate r(b(v)).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 16*h**2 - 127*h**3 - 1133*h + 126*h**3 - 78 + 1172*h. Calculate i(18).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -1263, -1283, -1303, -1323?\n\"Answer: -20*s - 1243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 53*p - 370. What is r(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 89799627?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -5 - -b54?\nAnswer: b4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(242)*-2 + 4 + sqrt(242) + 5)**2.\nAnswer: -1782*sqrt(2) + 19683","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000006296676764 rounded to 7 dps?\nAnswer: -0.0000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -8*y - 11. Let z(q) = -2 + 0 - 2 - 3*q. Let m(w) = 6*b(w) - 17*z(w). Differentiate m(p) wrt p.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5120.7732 times -0.06?\nAnswer: -307.246392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 9*k + 38. Let y(v) = -93*v - 375. Let d(z) = -29*u(z) - 3*y(z). Calculate d(-3).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) be the third derivative of -z**5\/60 - 7*z**4\/24 + 2*z**3 + 1311*z**2 + 2*z. Let x = -19 - -10. What is r(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32*d - 4*i + 62 - 6 = 0, -3 - 11 = -2*d + 5*i for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) be the first derivative of -3*u**7\/80 + 19*u**6\/60 - 47*u**5\/48 + 25*u**4\/24 + 19*u**3 - 47. Let t(j) be the third derivative of i(j). Factor t(y).\nAnswer: -(3*y - 5)**2*(7*y - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 290, 632, 1524, 3242, 6062?\nAnswer: 10260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (35*k**3 + 21*k**3 + 2*k**3)*(-2*k - 4 + 4).\nAnswer: -116*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 1.959877 kilometers?\nAnswer: 1959877000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Are -9455493 and -9455492 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in 70, 4, 21?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 2*k + 12. Let l be v(-5). Is l bigger than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g = 4*g - 140. Let f be (552\/(-30))\/((-2)\/10). Suppose 2*z + f = 5*c, z - g = -5*c + 3*c. What is the highest common divisor of c and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -870*l + 2850 = -680*l for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00009211877 to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 0.7799765g?\nAnswer: 779.9765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -8 - -8.1. Let x = n + 1.9. Which is the biggest value?  (a) 0.2  (b) x  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/5 in -29, -11311, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 28 and 146.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 26579089327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y**15)**(-1) assuming y is positive.\nAnswer: y**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 3630+3\nAnswer: 3633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/k**(-9))\/k**6*(k**1\/k)\/(((k\/(k**(-2\/13)*k))\/k)\/k))**(-2\/95) assuming k is positive.\nAnswer: k**(-8\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1 + 12 + -1 - 3. Let y be 3\/(-1) + (-1 - -80). Let a be y\/10 + 6\/15. Do h and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 8?  (a) -0.4  (b) -1\/6  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 27589370 to the nearest integer?\nAnswer: 5253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, f: 2, b: 1}. What is prob of picking 1 o and 1 f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 63\/588*-48*(28\/(-5))\/((-162)\/135)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 46253880?\nAnswer: 2, 3, 5, 128483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3698 + 3697.7811. Round a to 2 dps.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -27  (b) 1.5  (c) 0  (d) 294  (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -6 + 11. Suppose 2 = -3*s + 3*h + t, 5*h - 7 = s. Suppose -2*n - 14 = -s*n. What is the greatest common factor of n and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-60)\/(-16)*9\/15 and -91\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 11 - 10.7. Let n = -2.2 + 7.36. Let c = n - 0.16. What is the closest to 5 in k, c, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-5)\/(150\/1728))\/((-12)\/60). Round u to the nearest ten.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 76636 - -5?\nAnswer: 76641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v = -2*c + 528, 3*c = c - v + 528. What are the prime factors of c?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o = 25, -2*m - 5*o = -o - 9748. List the prime factors of m.\nAnswer: 2, 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 139\/3924 and -49\/12481372?\nAnswer: 112332348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-10*d + 10*d - 13*d**2)*(1 - 7*d + 0 + 2*d)*(-1 - 2 - 1 + (-3 + 0 + 0)*(3 - 1 - 1)) to m*d + j + o*d**3 + h*d**2 and give o.\nAnswer: -455","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 587258.8 decades?\nAnswer: 5872588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/10*(-6)\/(-36).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -2*k**2 + 20*k - 28. Let g be j(8). Suppose -4*y = -2*w - 16, 0 = -5*y - w - 2*w + 9. Put 5, g, y in descending order.\nAnswer: 5, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 106 = 8*a - 110. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1664*g + 1626*g = -2736. Let c be (-96)\/8*-1*4. What is the greatest common factor of c and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in one twentieth of a tonne?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 41479*a + 35*a**2 - 41479*a.\nAnswer: 35*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -4684 + 9365 - 99*c - 4681. Let s(i) = -7*i**2. Give s(x(v)).\nAnswer: -68607*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 983660274?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (1 - 3)\/((-1)\/25). Suppose 4*c + 3*u = 13 + 21, 5*c - 44 = -3*u. Let r = g - c. What is the highest common factor of r and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (46*a - 27*a - 23*a)*(5 - 1 - 6)*(0 - 1 + 3) + 4*a - 4*a - 3*a as w + f*a and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 84*l + 104*l + 138*l + 81*l.\nAnswer: 407*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/8 + (-35)\/(-20). Sort 5, -4, h.\nAnswer: -4, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1)\/4*1 - (-78)\/(-104). Calculate the common denominator of -29 and ((-148)\/(-72) + h\/6)*-1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -2*o - 6. Let l be u(-4). Suppose 4*a - a = -27. Let c be ((-2)\/3)\/(a\/27). Solve -3*i = -l*i - c for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh biggest value in -1, -2, -0.2, 28\/5, -4, 2, 1139?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -15 divided by -123\nAnswer: 5\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Are 520073 and 520073 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00007615102415 rounded to six dps?\nAnswer: -0.000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5920, -47443, -160152, -379639, -741496, -1281315?\nAnswer: -2034688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -7*s + 9. Give r(4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/24*2)\/(11\/99).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -420, 24, 5.\nAnswer: -420, 5, 6, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -m**3 + 15*m**2 - 10*m - 69. Calculate d(14).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 30102\/7 - (-12)\/(-42). Round r to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = n**3 + 5*n**2 - 9*n - 9. Let l be g(-5). Calculate the highest common factor of 18 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -12*k**2*n**2 + k**2*n + 11*k**2 + k*n**3 - 1077*k*n**2 - 29*k*n + 14*n + 2 wrt n.\nAnswer: -24*k**2 + 6*k*n - 2154*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000404 to 5 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (-493)\/1015 - 556\/(-973)?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -17*y**2 - 4*y + 2. Let l(i) = i**2 + 3*i - 1. Suppose -27*w + 59 - 5 = 0. Let v(h) = w*l(h) + k(h). Let a(x) = -x**2. Calculate a(v(u)).\nAnswer: -225*u**4 + 60*u**3 - 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 70 a factor of 4004560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-1\/5)\/q**(2\/15))**(-2\/29) assuming q is positive.\nAnswer: q**(2\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (28\/105)\/(-1 - (-5)\/(-25))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (2*-3)\/(52\/104). Let m(n) = 4*n + 2. Let s be m(-3). What is the hundreds digit of (-2788)\/(-20) - (g\/s)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand d**5 - d**5 - d**5 + (-d**3 - 3 + 3)*(2*d**2 + 2*d**2 - 2*d**2) + 6*d**3 + d**5 + 1 - 6*d**3.\nAnswer: -2*d**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -1947886 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0002461896 to seven decimal places.\nAnswer: 0.0002462","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -46678 divided by 229?\nAnswer: -46678\/229","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Let o = -24.7 + 25. Which is the nearest to 1?  (a) -3\/7  (b) -0.2  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 13*i**2*r - 426783*i**2 + 521*i*r + 1146*i + 1 wrt i.\nAnswer: 26*r - 853566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 12 - (-24251 - 15) - 3. Calculate the highest common factor of 25 and p.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*h - 5*b - 61, 2*b + 0*b = 5*h - 100. Let i be 7\/(-35) + (-1)\/((-10)\/62). Calculate the smallest common multiple of h and i\/(-1)*70\/(-21).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = c**2 - 11*c + 7. Let j be (-5)\/(-10) - 17*(-2)\/4. What is m(j)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 18 - 21. What is the remainder when c - -1 - (-19 + -1) is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 381 is divided by 43.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*d + 22*d - 7*d + 4 + 1.\nAnswer: 2*d + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vvtvttvyvtvvytvvtvyy. What is prob of picking 1 v and 3 t?\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 2) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 61\/10 and 0 + -12 + (-115104)\/(-10368).\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -2*c**2 + c + 12. Let p(h) = 9*h**2 - 5*h - 65. Let m(r) = p(r) + 4*u(r). Determine m(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -5\/6, -1\/2, -0.46, -3, 2\/7309?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 67 = 15*v - 5*s - 23, 0 = v + 5*s - 6 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -y**5\/2 + 5*y**4 + 48*y**3 - 512*y**2 - 1024*y + 12288.\nAnswer: -(y - 8)**3*(y + 6)*(y + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f\/f**(-2)*f**(2\/9)*(f\/(f\/f**(1\/3))*f*f*f)\/f**(-2) assuming f is positive.\nAnswer: f**(77\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.0363 - 0.0363213. What is c rounded to 6 dps?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 1123.803 grams?\nAnswer: 1123803000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 0\/5 + -2*3\/(-6). Which is the closest to 1\/4?  (a) -4\/11  (b) -3  (c) t  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -3*w - 9. Let h(z) = 2*z**3 - 4*z**3 - 7*z**3 + z - 1. Let n be h(1). Let d be q(n). Solve -5*u = 3*v + 5, -u = -0*u + 4*v + d for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 9786075 and 1050?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1872 and 242.\nAnswer: 226512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 42.87891 millilitres to litres.\nAnswer: 0.04287891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/11, -2\/19, -1\/24, 1\/7?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 124627742627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1*(-40)\/(-100))\/((-2)\/3*3)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 2*s**3 + 11*s**2 - 12*s - 81. Give a(-8).\nAnswer: -305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 10898\/5005 + 2\/455. Let z be 27\/126*(-584)\/(-66). Let y = z - l. Which is the third biggest value?  (a) 2  (b) -7  (c) y  (d) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = h + 1, -1 = n - 2*h + 2. Let a be 6\/2 + (n - 10\/(-2)). Find the second derivative of 19*b**4 + 239 - 239 - a*b wrt b.\nAnswer: 228*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2  (b) 17  (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 66814445, 66814453, 66814465, 66814481, 66814501, 66814525?\nAnswer: 66814553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 816 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1123450*z + 994590?\nAnswer: -1123450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -227\/5 + 45. Let a(z) = z**3 + 3*z**2 - 6*z + 21. Let h be a(-5). Which is greater: j or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) be the third derivative of -y**6\/120 + y**5\/20 - y**3\/6 + y**2. Let s be d(2). Let h = 2609 - 2576. Calculate the greatest common factor of s and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/2, 3, -136 in ascending order.\nAnswer: -136, -3\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.5 and 10.345882.\nAnswer: -5.172941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gmyjggjykmqqgkgy. What is prob of picking 1 m, 2 g, and 1 j?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -110001100101101011011111101 - 11?\nAnswer: -110001100101101011100000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -10 - -12. Suppose 3*u - 4*u + 5 = 0. Solve 0 = 2*f - u*m + 2, -f + 0*f = -q*m for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y = -2*y - 4*p + 24, -5*y + 168 = -4*p. Suppose y = -2*g + 6*g - i, -7 = g - 4*i. What is the remainder when 35 is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 959752088.\nAnswer: 2, 43, 643, 4339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2269*q = -2322*q - 530 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -52.25 + -0.75. Let r = l + 36. Let m = r + 11. Which is greater: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -a**3\/4 + 11*a**2\/4 + 13*a\/2 = 0. What is a?\nAnswer: -2, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16 = 2*h + 4*p, 4*p = 5*h - 0*p + 16 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from fzzqfafqfqaaqsyzazqs.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -141aa9d + 4?\nAnswer: -141aa99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/((8\/(-16))\/((-10)\/(-12)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u + 24 = 4*f, -3*f - 16 + 33 = -2*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by -937?\nAnswer: 5\/937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 7*x + 3*x = -4, 2*x - 2 = 3*v. Suppose b - 5*f - 15 = v, 3*b + f + 35 = -4*f. List the prime factors of 6*5\/(b\/(-2)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -3*l**3 + 5*l**2 - 3*l - 4. What is b(3)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 38970841.\nAnswer: 7, 13, 428251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) be the second derivative of a**7\/210 - 4*a**6\/45 + 8*a**5\/15 - 11*a**3\/6 + a. Let c(p) be the second derivative of n(p). Solve c(h) = 0 for h.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 8*f + 4. Let u be (2\/3)\/(14\/168). What is the units digit of b(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/(p\/p**(-9))*p**(1\/7))**22)**(-25\/2) assuming p is positive.\nAnswer: p**(17050\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) be the second derivative of x**4\/3 - x. Let a(g) be the first derivative of 0*g + 0*g**2 - 27 - 4\/3*g**3. Give a(v(s)).\nAnswer: -64*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 + -1 + 35 + (-8 - 7) - 40?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-15 + 8 - 2)*(181*q - 65*q + 146*q)*(-1 - 1 + 4) to the form g + r*q and give r.\nAnswer: -4716","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 63*s**2 + 178*s**2 - 42*s**2 + 13*s + 1 + 191*s**2 + 3*s**2.\nAnswer: 393*s**2 + 13*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 50 and 150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 1, w: 1, v: 2, l: 1, b: 2, c: 1}. What is prob of sequence bc?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -258 - -255. Let t(y) = -1877*y - 8. Is t(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -909*p + 3552*p - 902*p - 805*p - 899*p.\nAnswer: 37*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (-43 + 9 + -5 - -99) + (-1 - 1)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 5*d**2. Let k(w) = w**2 - 9*w + 7. Let o be k(11). Let t(a) = a - o + 12 + 17. What is v(t(b))?\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -35277*y**5 + 81*y**3 + 4*y**2 + y + 101163 wrt y?\nAnswer: -2116620*y**2 + 486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 74 - 565 - 2*u - 302*u + 30 wrt u?\nAnswer: -304","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5.2 + -8.5. Let c = -13 - m. Let v = -0.4 + c. Sort -1, v, 3 in descending order.\nAnswer: 3, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 21280*s - 29. Let v(o) = 7093*o - 10. Let l(r) = -4*f(r) + 11*v(r). Let t be l(-2). What is t rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 229379*y**2. Let t(o) = 74*o. Give j(t(v)).\nAnswer: 1256079404*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -17*u**2 + 1192*u - 144. Determine l(70).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 21\/12 - (-5)\/20. Suppose w*b = -b. Let h = b + 0. Sort 2\/3, h, -4.\nAnswer: -4, h, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -253 = -12*c + 9*c + 2*x, c = -3*x + 66. Which is smaller: c or 82?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6 + -9. Is (b\/12)\/(2\/(-88)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*f**4\/11 + 16*f**3\/11 + 10*f**2\/11 - 100*f\/11 = 0. Calculate f.\nAnswer: -5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 175089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) be the first derivative of 8046*z**2 + 12*z - 5. Let r be m(-11). What is r rounded to the nearest ten thousand?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hhph when four letters picked without replacement from hphhhhhphhhhhhhhphhh?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1.395 + 1.4. Let h = 0.013 - p. Let r = h - 0.0063. Round r to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*c + 4*z + 22, -2*c + 2 = 3*c + 2*z. Sort -3, c, 3, -4 in decreasing order.\nAnswer: 3, c, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 89*s - 461. What is m(5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:18 PM and 6:08 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 260581095?\nAnswer: 3, 5, 29, 199679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is ((4 - 2) + -2)\/(-1) + 271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*sqrt(32) + 5*sqrt(18).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 58344309949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 6381475718 to the nearest integer?\nAnswer: 1855","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(78) - 5*(sqrt(78) - sqrt(78)*-1) - sqrt(78))\/(-2*sqrt(216)).\nAnswer: 5*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ex when two letters picked without replacement from peeeeeewwxewee?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: ((-148)\/(-74))\/(13489\/(-1449) - -9 - (-8)\/36)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 283 greater than or equal to 73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 15 + 107 = 3*q, -2*r + 214 = 5*q. Calculate the remainder when 123 is divided by q.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*l - 612 = 600 - 1564 for l.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 * 0.19663.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is (-4)\/(-10) + 4926\/10 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -672*g**2. Let o(z) = 14*z. Give o(m(a)).\nAnswer: -9408*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -50.6?  (a) -2\/5  (b) 5  (c) -2\/15  (d) 2  (e) 1\/5  (f) 4.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 13  (b) -1.6  (c) 15807\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 13564.91 micrograms?\nAnswer: 13564910","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 34787 divided by -9?\nAnswer: -34787\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1 - -24)*3\/4. Let p = 15 - v. Let j = 5 - 6. Is j bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*g + r, 5*g + 0*g - r = 2. Solve 3*c + 18 = -3*f, -2*c - 20 = 5*f + g for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32*j - 30*j - s - 4 = 0, -4 = -2*j - s for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 14*h + 8. Let g be s(2). Calculate the greatest common divisor of g and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -181 + -74. Let f = v - -267. Solve 3*u + 3 = f for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0003538811 rounded to five dps?\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1652 a factor of 689457244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (340*z - 53*z**2 - 340*z)*(-4*z**2 + 3*z + 2*z - 4*z).\nAnswer: 212*z**4 - 53*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.6 and -178701500.\nAnswer: -178701499.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1062469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3759 + 3760. Let v = -114\/7 + 16. What is the nearest to v in -5, w, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 268 + -447. Calculate the remainder when l\/(-4) - (-3)\/12 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 45*p**4 - 60*p**3 - 6*p**2 + 18. Suppose -3*u + 51 = 15*o - 14*o, -u = 5*o - 3. Let k(c) = -c**4 + c**2 - 1. Let s(n) = u*k(n) + v(n). Factor s(g).\nAnswer: 3*g**2*(g - 2)*(9*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + d + 0 = -2, 0 = 3*d. Let c(k) be the third derivative of -2*k**n + 0 - 1\/27*k**3 + 1\/54*k**4 + 0*k - 1\/270*k**5. Factor c(y).\nAnswer: -2*(y - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -5*102\/(-4)*270. Suppose 4*j - 2*q = 34410, -j + y = 3*j - 5*q. Round j to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q**(-6))\/q*q*((q*q**(-1)*q*q)\/q)\/q)\/(q**(-3\/2)\/q*q\/(q*(q*q**(7\/4)*q*q)\/q*q))*((q**0)**(-29))**(1\/25) assuming q is positive.\nAnswer: q**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = z**3 - z + 51. Let v = -91 + 111. Let h = v + -20. Is 5 a factor of r(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 67 + -54. Calculate the remainder when 36 is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10110001 (base 2) in base 9?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 15791524691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -672 = 35*f - 27*f. What is the units digit of 24\/f - (-1096)\/14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -j**3 - 5*j**2 + 7*j + 2. Let i be 40\/(-16)*12\/5. Calculate o(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -x**3\/2 + 31*x**2\/4 - 53*x\/2 + 77\/4.\nAnswer: -(x - 11)*(x - 1)*(2*x - 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q**2 + 7*q - 6. Suppose -21 = -m - 4*a, 0 = -5*m + m - 5*a + 51. Let v = m - 3. Let u be i(v). Solve 5*p - 5*z - 5 = 0, u = 4*p + z - 4*z - 1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 1 + 12 = 0. Suppose 5*p - 2*p = 0. Suppose p*u = u - q. Is u a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 640779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 57693230 + -1086.099\nAnswer: 57692143.901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 4*o**2 + 7*o + 6. Suppose v = 3*b + 3, -5*v + 3*b + 25 + 2 = 0. Let z(g) = -g**2 - 1 + 6 - v - g. Calculate n(c) + 6*z(c).\nAnswer: -2*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -113\/84 and 53\/36?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 99 < -93\/61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/(y\/(y\/((y\/(y*y**(3\/4))*y)\/y)))*y*y**6)\/((y**3*y)\/(y\/(y\/(y*y\/(y*y**6\/y))))))**30 assuming y is positive.\nAnswer: y**(45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 245*x - 230*x - 75 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - 0 - (8 - (-5 - -6 - -2))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 97 minutes before 10:39 PM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -38*z + 12768 - 2926. Calculate the remainder when z is divided by (116\/(-8))\/((-2)\/4).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4368 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -20210645 divided by 13?\nAnswer: -1554665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (5\/(-5))\/((-2)\/22). Suppose -i*j + 16*j = 101280255. Suppose 6*u + 4236051 = j. What is u rounded to the nearest one hundred thousand?\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ah when two letters picked without replacement from {a: 4, h: 1, o: 4, n: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -17057, -17052, -17047, -17042, -17037, -17032?\n\"Answer: 5*t - 17062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 49\/52 and -71\/11779244.\nAnswer: 153130172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-3*j - 2*j + 2*j)*(1 + 4 - 3) + j - j + j - 4*j + 8 - 11*j + 9*j)*(32*j - 22*j + 32*j) in the form c + f*j**2 + k*j and give f.\nAnswer: -462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -248.3 + 249. What is the nearest to -1\/4 in v, 0.3, -4, 0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*g**3 + 5*g**3 - 14*g**3 - 23*g**3.\nAnswer: -38*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 22399 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand u - u + 4*u**2 + (4 - 5 + 2)*(4*u**2 + 0*u**2 - 3*u**2) - 7*u**2 + 7*u - 7*u + (-5*u + 4*u + 2*u)*(5*u - 5*u + u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(10)\/(sqrt(2)*4 + sqrt(2)) + (sqrt(45)*-3)**2.\nAnswer: sqrt(5)\/5 + 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -1, -27, 0.3, 155?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1  (b) 5  (c) 0.2  (d) -2.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 0.4*7\nAnswer: 2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = w**2 + 8. Let d be j(0). Let v(p) = 6*p**2 + 8 - d. Let h(c) = -3*c + 4. Let b(g) = -5*g + 7. Let z(k) = -4*b(k) + 7*h(k). Calculate v(z(o)).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d + 4*d + 24 = 5*f, -d = -f + 5. Let l(h) = h - 1. Let z be l(d). Let g be (-21)\/(-35) - z\/(-2). Put g, 4, 1 in descending order.\nAnswer: 4, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n and 1 k when three letters picked without replacement from kkkkknknkk.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z\/(z*z**(-2))*z\/(z*z\/(z\/(z**(-1\/10)*z))))\/((z*z**(-10))\/((z*(z*(z*z\/(z*z**6\/z))\/z)\/z)\/z*z)) assuming z is positive.\nAnswer: z**(71\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) be the first derivative of -v**5\/60 + v**4\/12 - v**3\/6 - v**2\/2 + 5. Let a(b) be the second derivative of n(b). What is i in a(i) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -30220792 times 2?\nAnswer: -60441584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -58, 27, -31, -1, 5, -5, -4 in decreasing order.\nAnswer: 27, 5, -1, -4, -5, -31, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) be the second derivative of l**5\/20 + 5*l**4\/12 + l**3\/6 + l**2 - 2*l. Let y(c) = c**2 - 9*c + 15. Let x be y(5). Give n(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) be the second derivative of -213*r**8\/7 + 9*r**4\/4 - r**3 + r**2 + 5*r - 210. What is the third derivative of a(s) wrt s?\nAnswer: -204480*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 + 2 - 2)*(6*c - 3*c - c) + (1 - 3 + 0)*(2 + 3 - 3)*(5*c - 5*c - 15*c) as b + h*c and give h.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2*28\/(-8)*-3. Let u = m + -19. Suppose i = u*i - 213. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 41*z**2 + 12*z - 21. List the prime factors of g(-6).\nAnswer: 3, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 13 + -21140?\nAnswer: -21122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7 + 12. Suppose -5*y + 4*y = 5*p + 11, h*y = 2*p + 53. List the prime factors of 117\/6*6\/y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 8911.532 days?\nAnswer: 769956364.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5.21 - -0.79. Which is the smallest value?  (a) -5  (b) -2  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-28)\/6)\/((-4)\/6). Let q = 4.71285 + -0.71285. Which is the second biggest value?  (a) q  (b) 27  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 143812?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -203544056+659\nAnswer: -203543397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5470 - 2703 - 587 = 157*d - 753 for d.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}