diff --git "a/data/dm_maths/full_data_2/1423_11255.jsonl" "b/data/dm_maths/full_data_2/1423_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1423_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose 3*d = -3*r, 3*r - 28 = 4*d - 0*d. Suppose b = -3*b + r. Suppose j = 7 + b. Solve -z - j = -3*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -6*z + 4*r + 35374, 2*z - 5*r - 35371 = 0. Suppose 5*a - z = -1843. Round a to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 q when four letters picked without replacement from hgqghggqqqg?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -230514440 (base 6) to base 13.\nAnswer: -b5602c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1876?\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + (-3)\/(3 - 0). Suppose -5*k = -v*q + 7*q - 20, -35 = -5*q - 2*k. Suppose -2*c + 11 = -q. Does 3 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 279*x**2 + x - 1. Let i be h(-1). Let u = -443 - i. Round u to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 4*f**2 + 4*f - 3. Let n be m(-5). Suppose -20 = 4*k - 2*q, -10 = 5*k + q + 8. What is the closest to 0 in n, k, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*z**2 + z**2 + z**2)*(-z - 3*z - 6*z) as u + v*z + f*z**3 + r*z**2 and give f.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2278*y + 2274*y. What is the least common multiple of 280 and y?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -165 + 156. Let w(h) be the third derivative of 3*h**2 + 1\/60*h**4 + 1\/150*h**5 + 0*h**l + 0*h + 0. Let w(a) = 0. Calculate a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -128 times -3?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -408*q + 8208. Let h be z(20). Solve 1837*v - h = 1829*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 11285382 and 11285317 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -293 + 1051. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 q when two letters picked without replacement from {f: 3, q: 3, y: 3, b: 1, p: 1, h: 2}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*r**2 + 2 - 52*r**2 - 51*r**2 + 228*r**2 - 60*r**2.\nAnswer: 4*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -370 (base 15) to base 4\nAnswer: -30030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*i**2 + 28*i**2 - 30*i**3 - 49*i**3 + 98*i**3 to the form a*i**2 + z*i**3 + u + h*i and give z.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14030614 + 2?\nAnswer: -14030612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -3\/4 (c) 3\/4 (d) 33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -51 - -148. List the prime factors of g.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-4) + 105\/12. Suppose 6*f + p = 21. Let y(u) = 7*u**2 - 10*u**2 + 4*u**f. Let z(v) = -19*v**2. Determine z(y(j)).\nAnswer: -19*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -5*g**2 + 2*g - 1. Let j be p(-2). Let m = 24 - j. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i - 2*i + i)*(-1 - 2 + 4) + 3*i - 7*i + 2*i + 6 - 2114*i + 5407*i + 6808*i - 2 - 526*i as c + p*i and give p.\nAnswer: 9574","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 3. Let t(p) be the second derivative of 1\/24*p**4 + 0 + 1\/4*p**m + 2*p + 1\/6*p**3. Factor t(o).\nAnswer: (o + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49.5 - 49. What is the biggest value in 0.6, p, -2\/13, 2\/5?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 10)\/(-10 - -12). Which is the third smallest value? (a) -0.5 (b) g (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -0.33.\nAnswer: -1.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4602, 18305, 41128, 73065, 114110?\n\"Answer: -p**3 + 4566*p**2 + 12*p + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 - -90. Let w(j) = 11*j - 1. Let u be w(1). Suppose u = -3*n + 46. What is the greatest common divisor of n and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*3*((-2548)\/21)\/(-7). Which is smaller: -51 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 219123126?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 10010101?\nAnswer: 10010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -5 + (10 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 1 - 0, 0 = 3*i - 4*t - 10. Suppose 0 = -0*y - i*y + 330. What is the highest common factor of 15 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express 593*v**3 - 36*v**4 - 583*v**3 - 3 + 42*v**4 in the form q*v + x*v**3 + p*v**4 + s*v**2 + y and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2000089 + -0.2. What is h rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**(-8))\/(r**(-1\/3)\/r)*r**(-5)*(r**(4\/9)*r)\/r)\/(r**(-1\/8)\/r**(-7\/2))**(10\/11) assuming r is positive.\nAnswer: r**(-4867\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-1 - (4 - 3)). Let q be ((32\/10)\/(-4))\/z. Let y = 2 - 0. Sort y, q, -0.1 in decreasing order.\nAnswer: y, q, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 3:41 PM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u - 193*u**3 - 5*u + u + 214*u**3 as p + h*u + l*u**2 + a*u**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*z + 108*z + 25*z)*((-3*z**3 - z**3 + 3*z**3)*(z - z - z) + 4*z**4 - 5*z**4 + 3*z**4).\nAnswer: 498*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0257 - -0.0256687. Round n to six dps.\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**2 + 10*p - 14. Determine w(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mymdymydmdmymyymym. What is prob of picking 2 d?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.75 times 3.83?\nAnswer: -14.3625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2499 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 not equal to -46\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3*i + 6. Determine m(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1642?\nAnswer: 2, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.721366714 and 19.292.\nAnswer: 21.013366714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 9*r**2 - 17*r - 13. Calculate b(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 r when two letters picked without replacement from {t: 4, r: 9, n: 3, e: 4}.\nAnswer: 27\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/22)\/((-65)\/1430). Let n(i) = -8*i + 9*i - 2*i + 6 + 0. Calculate n(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1221.938 - -1228. Round v to one decimal place.\nAnswer: 6.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2400587260 and -2?\nAnswer: 2400587258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1894631.\nAnswer: 1894631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.11 + -0.06. Let f = -33 + 28. What is the smallest value in f, k, -0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - (-6*(sqrt(99)*-1 - sqrt(99) - sqrt(99)) + sqrt(99)))*-5)\/((sqrt(144) + sqrt(144) + (sqrt(144) - sqrt(144)*-1) + sqrt(144))*6).\nAnswer: 3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 10*l**2 + 6*l - 14. Suppose 5*k + 27 = -2*f, -k + 86*f - 87*f = 9. Let n(v) = 3*v**2 + 2*v - 5. Calculate k*m(g) + 8*n(g).\nAnswer: -6*g**2 - 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1499 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -19588.\nAnswer: 11\/19588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 161 = 4*d, 3*l - 38 = 2*l + 5*d. Let x = l + 56. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -5*k**3 + 2010*k**2 - 54085*k = 0.\nAnswer: 0, 29, 373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1280200 greater than or equal to 1279596?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3770 is divided by 475?\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5616081168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -248793, -248696, -248593, -248484, -248369?\nAnswer: -248248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/21)\/(s**(1\/8)\/s)*(s*s\/s**5)**(16\/9))**21 assuming s is positive.\nAnswer: s**(-765\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107887.\nAnswer: 13, 43, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/4 - (-2)\/(-1). Let c = -22 + 30. Suppose t = -r - r - c, -4*r = 4*q - 64. Solve n = -4*n - q for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1*2 - 34446*(-3)\/18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 358 a factor of 132442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 + -2)*((-5572478)\/(-54103) + -103).\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 + 7 = -3*q. Calculate the remainder when 26 is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 512049 to the nearest one thousand.\nAnswer: 512000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mjy when three letters picked without replacement from myyjyyyuuu.\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 2, -18 in descending order.\nAnswer: 2, -1, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*u + 11*u**2 + 4*u**4 - 6*u**3 + 28*u + 6*u**3 - 4 as o*u**2 + i*u + k*u**3 + h + w*u**4 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*i**2 - 710*i**2 - 27*i**2 + 796*i**2.\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -19 - -20 - (-2)\/(6\/15). Solve 3*q - o = 3*h, 6*h - 8*h - 4 = -5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, z: 3, r: 3, l: 5, y: 1, d: 1}. Give prob of sequence dzz.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = n + 179, 0*d - 2*d = 3*n - 159. Let g = d + -84. Solve g*k - 15 = -0*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 - 5\/((-20)\/(-72)). Let p = s + 24. What is the third derivative of -19*z**2 + 4*z**2 + 12*z**2 + 9*z**p wrt z?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 586804689?\nAnswer: 3, 61, 356287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 less than -166.26?\nAnswer: -134.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*g - 1 = 0, z - g - 6 = -3. Suppose 4*j - 182 = -z*a, -7*j + 3*j + 271 = 3*a. Round a to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.121261 * -216\nAnswer: -26.192376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-204)\/(-357) - (-3)\/42*-106.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wdw when three letters picked without replacement from {w: 4, d: 3, m: 1, l: 1, t: 2}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**2 - 2*s**2 + s**3 - 4*s**3 + s**3 - 2*s**3 + 5*s**3 - 11*s + 11*s - 13*s + 13*s + 10*s**3 + (-s**2 + 5*s**2 - 2*s**2)*(1 + 2*s - 1).\nAnswer: 15*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*t + 7642 - 1938 = 0 for t.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*n**5 + 5*n**5 - 21*n**5 + (-2*n**3 + 2*n - 2*n)*(-n**2 - 3*n + 3*n) + 9*n**3 + 9*n**5 - 9*n**3.\nAnswer: -15*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l - 76. Determine s(-67).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2496008 and -7?\nAnswer: 2496001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -4, -0.1, 0, -1\/250?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of -d**5\/60 + 11*d**4\/24 + 45*d**3\/2 - 203*d**2 - 2. What is r(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 157*n - 87*n + 420 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*h - 3*h. Suppose -10 = -h*d + 20. Suppose -d*l + 25 = -5*l. Solve l*t + 1 = -4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 815, 2263, 3711?\nAnswer: 5159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4894487975?\nAnswer: 5, 13, 23, 654781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 52 = -4*j, 5*j - 79 - 17 = 4*l. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - f = -0*f, 2*q - 4*f = -6. Differentiate 6*i**4 - 41776*i**q + 9*i**2 + 41776*i**3 - 128 with respect to i.\nAnswer: 24*i**3 + 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**3 + 10*u**3 + 9*u**3 + 3*u**3 + 4*u**2 - 4*u**2 + (-u**2 + 3 - 3)*(-4*u + u + 2*u) + 0*u - 2*u**3 - 2*u + 0*u**3.\nAnswer: 21*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*42550\/1110*((-4)\/(-30))\/1.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -341096613 divided by -33.\nAnswer: 10336261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-36)*-93*((-468)\/(-728))\/(12\/(-14)).\nAnswer: -31\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-14)\/21)\/((-80)\/(-42) + -2). Which is the second smallest value? (a) -0.2 (b) -5 (c) -2 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29998?\nAnswer: 2, 53, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v + 7. Let s be y(7). Suppose 0 = 4*w - h - s, h + 4*h = 3*w - 37. Let r(p) = -p**3 + 4*p**2 + p + 5. What is r(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzrzrrzrzzzzzzr. Give prob of picking 2 r and 2 z.\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3747330 and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8643.197 and 3.\nAnswer: -25929.591","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -727481*g**3 + 13*g + 727482*g**3 - 13*g.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - -32. Suppose 41 = 7*r - g. Suppose r*d = -8*d + 2320. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4113, 8043, 11973, 15903, 19833, 23763?\n\"Answer: 3930*l + 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2238*u**2 + 53*u - 234. What is the units digit of n(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 35*m - 3. Let o(c) = -4*c + 12744. Give o(x(l)).\nAnswer: -140*l + 12756","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2032 * -31347.5.\nAnswer: -63698120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 726 - -2377. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 16172392 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-21))**49*(i*(i*i\/i**(-1\/24))\/i)\/(i\/(((i*i*i**26*i)\/i)\/i)) assuming i is positive.\nAnswer: i**(26545\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 262*j - 249*j - 2093 = 0. Let u = j + 286. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 31541787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**4 - 15381650*m**3 - 15773000193720*m**2 - 5391421772841727840*m + 10782906637807283840.\nAnswer: -5*(m - 2)*(m + 1025444)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 25003.6mm in nanometers?\nAnswer: 25003600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -33, -1, 0.9, -6?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2. Let o(f) = f**2 - 78*f + 5*f**2 - 94*f + 152*f + 21. Let c(p) = 5*k(p) + o(p). Let h be c(19). Solve 7*t + 5 = h*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (3*sqrt(144) + sqrt(144))\/(4*sqrt(363) + sqrt(3)))*-6.\nAnswer: -32*sqrt(3)\/15 + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 137914229?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmn when three letters picked without replacement from {n: 2, m: 2, o: 7}.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9619869?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b\/(b*b*b\/b**(-3\/7)))\/b*b)\/b**8*(b\/(b**(-1\/3)*b))\/(b*b**(-2\/29)*b*b) assuming b is positive.\nAnswer: b**(-6715\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 113*w. Let m(c) = 4*c - 17. Let i(j) = -j + 4. Let v(h) = -9*i(h) - 2*m(h). Let g(z) = z - 3. Let r(n) = -4*g(n) + 6*v(n). Determine r(q(t)).\nAnswer: 226*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(-70)*1520\/(-684)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4621624 + 310?\nAnswer: -4621314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 792 = -2*r, -820 = -3*b - b - 5*r. Let x = b - 601\/3. What is the nearest to 1\/3 in x, 0, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2302 (base 5) to base 14\nAnswer: -195","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 8 (c) -1 (d) -1\/6 (e) -2\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7\/932117, 0.07, -3\/4?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000 + 101110?\nAnswer: 1001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -4332402?\nAnswer: 4332403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 69712?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 e, and 1 l when three letters picked without replacement from {g: 1, d: 1, o: 3, l: 1, e: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.109 in 5, -5, -151?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 170207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 13)*(-3 + 3 + 1)*(-n**4 + n**4 - n**4)*(0*n - 3*n + n).\nAnswer: 16*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 4*m**2 - 2*m + 1. Let v be w(-4). Suppose 5*q + 20 = v*q. Determine h, given that -3*h**4 + 656 - 3*h**q - 656 + 6*h**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -0.2, -377, 0, -1.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a litre in millilitres?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 3) to base 12\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02938103 to four decimal places.\nAnswer: -0.0294","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/1132 and -161\/4380.\nAnswer: 1239540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1031, 2101, 3219, 4385, 5599, 6861, 8171?\n\"Answer: 24*w**2 + 998*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 16*r - 22*r + 16*r. Let q(l) = 11*l. What is 6*m(a) - 5*q(a)?\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 1 + 4*p**4 - 3*p**4 + (p**3 - 3*p**3 + 7*p**3)*(-4*p + 4*p - p) - 3*p**4 - p**4 + 5*p**4.\nAnswer: -3*p**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 83488099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - f + 2 + 9*f as d + y*f and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -383 divided by 58.\nAnswer: -383\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28361 is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -407959\/23 > -17738?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -5. What is the tens digit of (-5 - a)*50\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559596993 to the power of 1\/2, to the nearest integer?\nAnswer: 23656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/(-4))\/(30\/(-80)). Solve -2*u + s - 20 = 2*u, 0 = b*s - 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of 3*z**2 + 16*z + 4. Let u be t(8). Calculate the greatest common factor of 8 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -220*y - 374. Determine g(2).\nAnswer: -814","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 694 - 285. Suppose 4*r + s = 4113. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4018 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -11*j**2 - 26*j - 7. Let x(i) = 5*i**2 + 13*i + 3. Let a(l) = -3*b(l) - 7*x(l). Let s(g) = 2*g**2. Give s(a(q)).\nAnswer: 8*q**4 + 104*q**3 + 338*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3911cb (base 16) to base 8\nAnswer: 16210713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2794, -2792, -2790, -2788, -2786?\nAnswer: -2784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 1 - 4 = -3*l, -4*c + 10 = -2*l. Let v be 51\/(-15) - (-8)\/2. Sort c, v, 5 in descending order.\nAnswer: 5, c, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21 - 112311440?\nAnswer: -112311414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -747?\nAnswer: 74a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 548239458?\nAnswer: 2, 3, 13, 7028711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - y**2 + y - 5. Let a(x) = x**3 - x**2 + x - 4. Let m(l) = 5*a(l) - 4*n(l). Let h(s) = -9*s**3 + 5*s**2 - 5*s. Determine -h(r) - 5*m(r).\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 3 - -12 - (-295 + 298)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 33*t - 1. Let k be b(5). Suppose -4*j + 23 + 37 = -2*n, 2*j + 4*n - 20 = 0. Is k\/j - (-2)\/7 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 98*k - 7128. Determine t(76).\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 152893 and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5)*2 + 4 - (sqrt(120)\/sqrt(4))\/sqrt(6)) + sqrt(10)\/(sqrt(2) - (sqrt(2) + sqrt(16)\/(sqrt(8) + sqrt(128)))))**2.\nAnswer: -32*sqrt(5) + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -22*x + 0 - 9\/2*x**3 - 1\/2*x**2. What is the derivative of y(u) wrt u?\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 + 55 = -17*g. Let a be (46\/23)\/(2\/g). Solve n + 25 = -a*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/(-4))\/(-1 + 3\/5). Suppose t = -j + 5. Solve -3*x + 2 + 10 = j for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0020917 to 4 dps.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2*l - 4 = 0, -50 = -3*v - 5*l - 4. Let f = v - -50. Calculate the remainder when f is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 112*b - 48. Is j(30) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 702116 is divided by 49.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wff when three letters picked without replacement from {k: 4, w: 2, f: 2, b: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -2\/9 (b) 1\/3 (c) -555 (d) 6 (e) -10 (f) -1\/5 (g) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 divided by 21.\nAnswer: 38\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 5 (b) -157 (c) -3\/5 (d) -5 (e) -20.674\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/17 in 1\/5, -13, -7\/134?\nAnswer: -7\/134","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 2 + (-104 + 51 - -80)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 322 = 13*m - 6*m. Let x = -25 + m. Calculate the lowest common multiple of x and 27.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3222220 (base 4) in base 9?\nAnswer: 22534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*u + 17 - 17)*(2 - 3 + 0)*(-3*u + 3*u - u) + (2*u**2 - 6*u**2 + 2*u**2)*(-4 + 2 + 4) to the form r*u + g*u**2 + o and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.11 (b) -0.1 (c) -87 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -62 - -66. Solve 0 = -2*k - 0*k + 2*a - l, -2*a - 26 = 4*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-34)\/68*4\/6*-10182?\nAnswer: 2, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25807544?\nAnswer: 2, 7, 59, 73, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -178*g + 20875. Let i(m) = -2*m - 19. Calculate i(r(d)).\nAnswer: 356*d - 41769","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.12 - -2.88. Which is the closest to -1? (a) 0.14 (b) w (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*c + 549 = 373. Solve 26 = -c*s - 5*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17232 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(720) + 0 - sqrt(720)) + -2 + -5*sqrt(720)*1)*6)**2 + (sqrt(1215)*4)\/(sqrt(3) - ((sqrt(3) + 4*sqrt(3))*6 - sqrt(3))).\nAnswer: 60471*sqrt(5)\/7 + 648144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011011011011 (base 2) in base 5?\nAnswer: 141401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 320, 1667, 3916, 7067, 11120?\n\"Answer: 451*k**2 - 6*k - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -13\/420*r**6 - 1\/294*r**8 - 1\/84*r**4 + 1\/35*r**5 + 0*r + 0 + 0*r**3 + 2*r**2 + 4\/245*r**7. Suppose u(o) = 0. What is o?\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t - 1. Let k be (3\/(-9))\/((-12)\/(-36)). Let n(r) = -3*r - 7. Calculate k*n(q) + 6*x(q).\nAnswer: -3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 0.3, -8, -145.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t. Let a(l) = 2*l. Let n(k) = -4*a(k) + 3*r(k). Let b(c) be the second derivative of c**4\/6 - 10*c. Give b(n(v)).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/294*5838\/1112.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 24\/77, 1327, 12?\nAnswer: 24\/77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(153) + 2 + sqrt(153) + -2) + -2.\nAnswer: -6*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 + 2002322?\nAnswer: 2003003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10 + 8432a8?\nAnswer: 8432b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -5*v - 20, 7*f - 12*f = -v + 26 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26 and 2\/(-9) - (-1210)\/99.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -7*z + 4. Let n(y) = -6*y + 5. Let x be 17\/((-561)\/(-6)) + 57\/(-11). Let l(m) = x*v(m) + 6*n(m). What is l(11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-31)\/(-2) + 1\/2. Suppose -h = -i - i. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1522*k**2 + 1496*k**2 + 30*k - 4314*k**2 + 1295*k**2.\nAnswer: -k**2 + 30*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9 - (-7 + -3))*(0\/2)\/1. Suppose -6*l = 1 + 17. Sort j, 2, l in descending order.\nAnswer: 2, j, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 5*u + 2. Let w = 7 - 11. Let t(x) = x**2 + 6*x + 3. Let k be t(w). Let s be h(k). Solve z + 0*y + 6 = -s*y, 2*y = -4*z - 6 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20\/3*o - 2\/9*o**2 - 18.\nAnswer: -2*(o + 3)*(o + 27)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b - 3. Calculate h(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of 4*s**2 + 0 + 0*s + 1\/60*s**5 + 1\/24*s**4 - 97\/6*s**3. Let k be q(0). Round k to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122855 is divided by 8443?\nAnswer: 4653","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 5*q - 35. Let h = q + -3. Solve -2*g - h = -0*g + 4*s, -g - 3*s - 2 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8524005 - -8524005.5599739. Let t = 0.56 - h. What is t rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 7*m**2 - 19647440*m + 19647440*m. Let d(g) = 0*g + 20*g + 12*g. Give d(u(v)).\nAnswer: 224*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of 1699*r**6\/120 - 103*r**5\/30 + r**4\/2 + r**2 - 398. What is the third derivative of l(w) wrt w?\nAnswer: 10194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -19 (b) 0.042 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 887810031 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 233295805 to the nearest integer?\nAnswer: 15274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2727 + 3113 = 0. Suppose 0*u - 4*u + a = 2*r, 1196 = 4*u - 5*r. List the prime factors of u.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23341437 divided by -1.\nAnswer: 23341437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 - 18.78. Let o = -0.24 - -0.5. Let n = t + o. What is n rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68332?\nAnswer: 2, 11, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -7 - 8. Let j(f) = -f + 23. Suppose 0 = p - 5 - 8. What is the remainder when j(p) is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + 6 - 7)*(-10*v + 29*v - 6*v)*(-3*v - v + 5*v)*(-40 - 28 - 51)*(-2*v - v + 2*v).\nAnswer: 17017*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r - 1. Let p(c) = 4*c + 5. Let b(h) = 2*i(h) + p(h). Calculate b(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 1:45 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140278 - 140482 = -68*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xllxx. What is prob of sequence xlxl?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3*m + 5*k = 458, -4*m + 5*k + 1882 = 0. Let x be 1\/3 - 84\/m. Suppose 0 = -3*r + 6*r. What is the closest to r in 1, x, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-21) + ((-23)\/7)\/(-1). Let u be -16*2*(-25 - (-6)\/b). Let q = 1323 - u. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 91304597 to the nearest integer?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 7*p**2 - 5*p - 10. Suppose 0 = -4*l - 0*l - 28. Let f be w(l). Suppose -5*g + 3 = -7. Solve g*o - 4*c = -2, -3*c + f = 5*o + 2*c for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ee - 2?\nAnswer: -f0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122 - 126 - (1 - (-33 + 2)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = -98*y - 1344 - 170 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from xxxxnxnxxx?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*f**5 + 22*f**5 + 8*f**5 + (-1 + 2*f**2 + 1)*(2*f**3 - 5 + 5) + 0*f**5 + 2*f**5 - 5*f**5 - 5*f**3 + 2*f**5 + 5*f**3 + 10 + 2*f**5 - 10.\nAnswer: 29*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19295.\nAnswer: 5, 17, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*v**6 - 27307*v**5 - 399*v**2 + 55*v wrt v.\nAnswer: -240*v**3 - 1638420*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 4*y - 2. Factor -1\/4*u + 1\/4*u**3 - 1\/4*u**y + 1\/4*u**4 + 0.\nAnswer: u*(u - 1)*(u + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(52)*4)\/(sqrt(324)*-3 + sqrt(324))*-6.\nAnswer: -8*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 5:22 AM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 2083.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*f - 162 = 0, -5*f + 261 = 4*w - 59. Let z(q) = -3046*q - 6024. Let x be z(-2). Calculate the highest common factor of w and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, o: 5, x: 1}. Give prob of picking 1 x, 1 o, and 2 r.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8191 is divided by 1168?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -l + 142*x - 146*x, -2*l = -3*x + 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22 - 17) + 16 + -20.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mlxmlmllllmlxml. Give prob of sequence xmlx.\nAnswer: 2\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 6) + 0 + (-2 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-5 - 268)*(-3)\/7 is divided by 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (78\/(-52)*2\/5)\/(57\/(-475))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 241705, 242736, 244455, 246862, 249957, 253740?\nAnswer: 258211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 183519887 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 154*j**2 - 892*j + 132. Determine s(148).\nAnswer: -460","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4350*k + 854 + 16016 = -976*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + -29 + (0 - -5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 108833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42623, 85339, 128055, 170771, 213487?\nAnswer: 256203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 520 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 65 = -640. Suppose -i = q - 0*q. What is q rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2516 + 0.7516. Which is the third biggest value? (a) -2\/3 (b) 1 (c) 12 (d) r (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -11*g**2 - 3*g + 12. Let m(b) = 4*b**2 + b - 4. Let c be 1\/4 + (-13)\/4. Let a(x) = c*w(x) - 8*m(x). Is a(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1499 and -0.0392?\nAnswer: 1499.0392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2035 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: Let t = -16 + 15.3. Let r = 0.69999952 + t. What is r rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1091225 divided by -218245\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 14*l**2 + 77*l + 298. Determine z(19).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = r + 62. Calculate the remainder when (6 - (-646)\/(-51))\/(2\/(-18)) is divided by r.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 - 8*n - 2. What is m(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6550*232\/(-14500) - ((-1)\/10)\/((-2)\/4).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-3) + (-2)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 390\/(-117)*(-6)\/4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/27480 and ((-34)\/(-96))\/(918\/3672).\nAnswer: 27480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52) + sqrt(52) + (sqrt(1300) - (sqrt(1300) + -1)**2) + sqrt(52) + sqrt(52) + (sqrt(52) - (sqrt(468) + 1))**2.\nAnswer: -1092 + 46*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 87 + 1734. Suppose -795 = -4*v + f. What is the hundreds digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*q**2 - 25*q**2 - 17333 + 17331 as b + v*q**2 + l*q and give v.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 183, 830, 2435, 5478, 10439?\n\"Answer: 80*v**3 - v**2 + 90*v + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 - -35. Factor 5*v**3 - 74 + 74 - p*v.\nAnswer: 5*v*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 600\/27 + 4\/(-18). Suppose 4*c + 16 = 0, n = 2*n - 5*c - v. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38.999944 + 39. Round m to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -58 + -2 - 0 - ((-13 - (-33 + 16)) + -6)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9052700078.0000197 + -9052700474. Let g = p + 396. Round g to six decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in 3\/46, 10, 0.3, 685, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26710638, -53421278, -80131918, -106842558, -133553198, -160263838?\nAnswer: -186974478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from gccccccgc?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1739 and 94.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -4119.06165 to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8834 = 392*g - 210 for g.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4647, -9526, -14551, -19722?\n\"Answer: -73*o**2 - 4660*o + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*(h**(2\/15)\/h)\/h*h*h**(1\/9)*(h\/(h**1*h))**(-26)*(h**(2\/7)*h)**(-13)\/(h**(-5\/2)*(h*(h**(-5)\/h)\/h)\/h) assuming h is positive.\nAnswer: h**(11989\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/8)\/(9\/108). Let h(k) = -k + 21*k - z + 0. What is the units digit of h(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f - 2*f**2 - 2*f + (-2*f - 1 + 1)*(-f + 4*f - 5*f) - 16206962 - 14*f**2 + 16206962 - 150*f.\nAnswer: -12*f**2 - 150*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 3*k + 74 = -64, 3*i + 3*k = 102. Is 15 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 175 divided by 140.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/24*28\/(952\/(-51))*(-184)\/(-6)\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -539 + 282. Let t = -144 - o. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -141, -243, -345, -447, -549?\n\"Answer: -102*y - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -233332 - -230?\nAnswer: -233102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 15 and -23941.\nAnswer: -23926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, -15, -51, -107, -189, -303, -455, -651?\nAnswer: -897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/30 + ((-36600)\/(-3500))\/(36\/28)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-47 - -41 - (1 + -5 - -60 - 0)) + -5.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of 1\/2*a**3 + 1\/60*a**5 + 10 + 3*a**2 - 1\/6*a**4 - 2*a. Let q(i) be the second derivative of v(i). Find o such that q(o) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one ninth of a week?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42582 + 255598. Let q be (3 - 1)*(-9)\/(-6). Suppose -4*o = -q*w + n, -3*w + 2*o + 213008 = -0*o. Round w to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 4*k + 28, q + 4 + 9 = 3*k. Solve -6 + q = -2*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-175)\/(-20))\/((-2)\/(-8)). Suppose b - 4*t = c - 8, 2*b + 4*t = -6. Let p = b - 2. Calculate the least common multiple of p and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 5*p**2 + 5*p + 6. Let a be -1 + -2*(-12)\/(-8). Determine u(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*l**2*r**3*y**3 - 8*l**2*r**2 - l**2*r*y**2 - 219171*l**2*y**3 + 3*l*r**3*y - 7*r**3*y**2 + 38*y wrt y.\nAnswer: 66*l**2*r**3 - 1315026*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2. Let a(n) be the second derivative of -2*n**5\/15 - n**3\/2 + 7*n. Let i(c) be the second derivative of a(c). Calculate h(i(p)).\nAnswer: -256*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -246\/25 and -11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1930211*u**2 + 344 - 40 + 2*u + 1930213*u**2 + 104.\nAnswer: 2*u**2 + 2*u + 408","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3843, 7685, 11529, 15375, 19223, 23073?\n\"Answer: a**2 + 3839*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 84?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -362*o**3 + 2*o**2 - 696*o?\nAnswer: -2172*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12cba2 (base 13) in base 10?\nAnswer: 456770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*h - 5 = 21*h + k, 0 = -5*h + 4*k + 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -651, 128 in decreasing order.\nAnswer: 128, 21, -651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.361179t to micrograms.\nAnswer: 8361179000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 764\/(-955) - 379\/(-5) is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 14 = s, -s = -107*o + 110*o - 7 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -221110220?\nAnswer: -221110201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 - -23. Suppose 0 = j*g - 70 - 66. What are the prime factors of g?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 q when two letters picked without replacement from {q: 1, x: 1, f: 1, m: 1, v: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 6 = 5*f, 19*s - 24*s + f + 12 = 0. Solve -2*j - s*g + 12 = 0, -g + 4 = 5*j - 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q + 5*q - 8*q)*(-2 - 5*q**2 - 2*q + 6*q**2 - 2*q**2)*(-3*q**2 + 3 - 3).\nAnswer: 3*q**5 + 6*q**4 + 6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36 + -21. What is the greatest common factor of p and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -152.51 - -1.51. Let b = 149 + q. Put b, 1, 1\/4, 1.3 in decreasing order.\nAnswer: 1.3, 1, 1\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -5*c + 1. Let q = 9108 - 9112. Let z(s) = -4*s + 2. Determine q*z(r) + 3*g(r).\nAnswer: r - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*c = 5*v + 30, 1092136*v - 60 = -5*c + 1092131*v for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -53, -7, -25, 1, -15, -17 in decreasing order.\nAnswer: 1, -7, -15, -17, -25, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)\/(sqrt(11) + (3*sqrt(88))\/sqrt(8)) + 1 + sqrt(44)\/sqrt(4) + -3)*-5.\nAnswer: -25*sqrt(11)\/4 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33)\/30492*33*7.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*b**4 - 8 + 8 - 2*b**2 - 4*b**2 wrt b.\nAnswer: -336*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*i**5 - 2*i**4 - 16731*i**3 + 16*i**2 - 243512*i wrt i?\nAnswer: 180*i**2 - 48*i - 100386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 5*v + 12 = 0. Let r(x) be the first derivative of -x**4 + 4*x**2 - x**4 - 3*x**2 + v*x**4 + 3. What is the second derivative of r(s) wrt s?\nAnswer: 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**2 - 12*g. Let t(p) = -p. Let b(u) = j(u) - 12*t(u). Let l(r) = 7*r**2. Let n(k) = -112*k**2. Let v(c) = -63*l(c) - 4*n(c). Determine v(b(s)).\nAnswer: 28*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eqqpipcciqecfi. Give prob of picking 2 i and 1 p.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 5*r**2 - 7*r - 3. Let g be u(-6). Suppose -g*x - 9 = 3. Suppose -4*q - 4*s = -36, 4*s - 18 = -2*q + s. What is the closest to q in -5\/2, x, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11941 and -1.3429.\nAnswer: -16035.5689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -455 - 181. Let h be j\/(-16) + ((-5)\/(-20) - 0). Calculate the highest common factor of 160 and h.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bssavzbvbv. What is prob of picking 1 v, 1 s, and 1 a?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -84*f**4 - 13*f**3 - 1108*f.\nAnswer: -1008*f**2 - 78*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/11 and 40\/7 - 2\/2.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 146286 and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -134 + 51. Let v(r) = -r**2 + r - 4. Let u be v(6). Let a = u - t. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(35) - sqrt(35)*1))\/sqrt(7))**2 - 1*sqrt(5)*-3*-5.\nAnswer: -15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 942 + -890. What is the highest common factor of 702 and x?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 528763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 10:48 PM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 93357817?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*((-6)\/(-4) + -2)*-10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 865615254 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-690)\/(-25) - (3 - 12\/5). Solve 0 = -0*u + 3*u + 4*r - t, 4*u - 4*r = 8 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*y**3 + 246*y**2 + 3396*y - 1760 = 0. Calculate y.\nAnswer: -40, -22, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 24*m - 81972 = 0. Is m a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 1. Suppose 0 = -s - t*n - 1, -6*s + 51 = -2*s + n. Let c = 21 - s. Calculate the remainder when c is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 12:12 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*g - 7052 - 1902 = 235 + 3987 for g.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -332002172495 - -9?\nAnswer: -332002172486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 870609, 870604, 870595, 870582?\nAnswer: 870565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in 8\/15, 4766, 0.2, -5, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = 2*k + 10, 917748*k - 5 = 917745*k - 4*z for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -1 + -4 + -3 + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -153 - -160. What is the least common multiple of k and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -109138*n. Let x(u) = u**2. What is z(x(h))?\nAnswer: -109138*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 9242*y**3 - 4*y**2 + 5*y - 1. Let h be m(1). Suppose -6*v + h = -4756. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 3\/2*j**2 - 1\/2*j**4 + 7*j**3 - 20*j - 14 = 0.\nAnswer: -1, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 25*s**2 + 5*s. Let t(j) = -j. What is t(w(l))?\nAnswer: -25*l**2 - 5*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 166\nAnswer: 5\/166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3808 is divided by 1263.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 73 + -70. Let m(r) = r**2 + r + 2. Let h be m(0). Let f = 1.1 + -1. What is the nearest to -2\/11 in h, l, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 359480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -100\/7 + 549\/35. Let n = 23\/20 - h. What is the biggest value in 1, n, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 5:23 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -32. Suppose -2*z - z + a = 0. What is the third derivative of -4*g**4 - 3*g**z - g**2 + 4*g**4 wrt g?\nAnswer: -180*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4*l - 26. Let c be h(-7). Suppose -c*z - i = -913 + 289, 5*z - 4*i = 1560. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m*m**1*m)\/m**10)\/((m*m**(6\/13))\/m*m*m**9))**(2\/15) assuming m is positive.\nAnswer: m**(-428\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/7)*p**7*p**(3\/10)*p**1 assuming p is positive.\nAnswer: p**(561\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5855179 and 36179?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8363 - 8362. Let j be (-10740)\/2686 + (20 - 16). Is j less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 1 - 17 = -j, -5*r + 3*j = -6. Let f = 631\/8 - 79. Which is the smallest value? (a) 2 (b) f (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8571*o**3 - 3*o**2 - 46399*o.\nAnswer: -51426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 596*c**2 + c + c + 3*c**3 + 0*c**3 - 580*c**2 to q*c**2 + d + i*c**3 + r*c and give q.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-1) + (-3 - -4). Let y = -1 + 4. What is the third derivative of y*u - 2*u**3 - u**x - u - 2*u wrt u?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 115 - 112. Sort -2, -1\/3, -0.4, n in descending order.\nAnswer: n, -1\/3, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 98286?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 - 30302332?\nAnswer: -30302315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.18377 * -11\nAnswer: 2.02147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = m - 3*m. Calculate the least common multiple of m*22*1\/4 and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(8\/(-3)))\/((-9)\/21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11868590\/(-90050) - 19*-7.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39482983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 940 - 100. Suppose 7*g - 2*g = x. Is g a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*t + 30542 = 0, 69*t = -3*x + 74*t + 91660. What are the prime factors of x?\nAnswer: 2, 5, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t - t**3 + 12*t**3 - 2*t**2 - 2*t to the form b*t + w + l*t**2 + g*t**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/2646 and 113\/27864?\nAnswer: 1365336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + 18. Suppose u + 2*k - 19 = -135, 0 = d*k - 5. Calculate the common denominator of 93\/8 and (u*(-6)\/8)\/(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 26596 = 4*f, 0 = f - 4*f - 9. Let r = -6704 - k. What is r rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jlzljnnrrzlzjrlr. What is prob of sequence znzr?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**4\/3 - 38*b**3\/3 + 64*b**2\/3 + 488*b\/3 + 128 = 0.\nAnswer: -2, -1, 6, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -12*h**2 - 90*h - 44. What is k(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 18529 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**(2\/3)*l)**(2\/11))**(-2\/71))**(-49))**27 assuming l is positive.\nAnswer: l**(8820\/781)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 2 - 4. Let s(y) = y**2 - y - y + m*y. Let i(n) = 3*n**2. Determine s(i(k)).\nAnswer: 9*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 30\/(-9) - -3 - 1. Suppose -152 = -183*v + 164*v. Is p at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 920617.8 to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -200726563 to the nearest ten thousand.\nAnswer: -200730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 8:03 AM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-12))\/((-1740)\/(-2320)).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -41480000 to the nearest one million.\nAnswer: -41000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 514*z - 21614 - 17803 - 4787 for z.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 397669 is divided by 91?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14487015?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.4? (a) 2 (b) -18\/13 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + s**2 + s - 1. Let c(u) = -u**3 + 7*u**2 - 3. Let d be c(7). Let x(l) = -3*l**3 - 2*l**2 - 2*l + 2. What is d*x(f) - 6*j(f)?\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -12, -0.8392, 2\/9, 3, -1?\nAnswer: -0.8392","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -64.7 + 65. Let l = -92 + 737\/8. Let w = 0 + 1. What is the closest to w in u, -0.4, l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/3)*s**7)\/((s**0*s*s)\/s)**6*(s**(-1\/2))**(-3\/2)*s**(-3\/5)\/s**(-2\/13) assuming s is positive.\nAnswer: s**(1537\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -721, 22, -2, -3 in ascending order.\nAnswer: -721, -3, -2, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8267.\nAnswer: 7, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3685976?\nAnswer: 2, 7, 9403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4480 by -4.\nAnswer: -1120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 16385210.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 4051*v + 206575. What is l(-51)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/(-21) - (-3772)\/(-1638)) + 2. Let j = -1\/26 + q. Which is smaller: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -10*b**2 + 15*b - 20. Let u be l(2). Is 9865*(-3)\/u*14 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (13 + -37)) + -3.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -5*m - 14, 8*q - m = 3*q + 12. Suppose y + q*y = 51. List the prime factors of y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 4*s**4 - 204*s**3 - 216*s**2 + 416*s = 0?\nAnswer: -2, 0, 1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -23232 (base 5) to base 10\nAnswer: -1692","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 times -23?\nAnswer: 0.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + p - 547997, -r + 3*p + 207677 + 340328 = 0. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -f**6\/210 + 7*f**5\/15 - 92*f**4\/21 + 120*f**3\/7 - 1382*f**2. Factor c(r).\nAnswer: -4*(r - 45)*(r - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of -j**4\/4 - 4*j**3\/3 + 5*j**2\/2 - 31. Determine m, given that t(m) = 0.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 * -6904\nAnswer: -41424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2451257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6\/49 + 79\/245. Which is smaller: y or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - -6*1\/1. Suppose 3*l - 29 - 1 = 0. Solve -q*u + l = 25 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1450825 rounded to the nearest one hundred thousand?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n - 4. Suppose p + 10 = 4*i - 0*i, 5*p + 6 = -2*i. Let h(w) = -5*w**2 + 4*w. Let f be h(i). Let a be 8\/f*(-6)\/4 + 2. Calculate z(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.11 and -3.315.\nAnswer: -3.205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + sqrt(28)\/sqrt(4) + sqrt(7) + sqrt(7))*-3 - (sqrt(63)\/sqrt(3))\/sqrt(3).\nAnswer: -13*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -18*a**4 - 17*a**2 - 5*a - 5. Let r(z) = 18*z**4 + 18*z**2 + 4*z + 4. Let f(k) = 4*d(k) + 5*r(k). Find the third derivative of f(w) wrt w.\nAnswer: 432*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -190*m**3 + 2*m + 20*m**2 + 191*m**3 + 11*m**2 + 1 + (m + 0*m + 0*m)*(0*m**2 - 4*m**2 + 6*m**2).\nAnswer: 3*m**3 + 31*m**2 + 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 1080*v**2 - 27*v - 54. Let c(y) = -83*y**2 + 2*y + 4. Calculate 27*c(n) + 2*z(n).\nAnswer: -81*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 389447860 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 10:59 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g*g\/(g\/g**(-3)))\/g*g)**(1\/23))**(-8\/5) assuming g is positive.\nAnswer: g**(8\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -154.8 - -128. Let q = -27 - r. Let a = 3\/2 - 1. What is the second biggest value in q, -4, a?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 117, -13, -2.7, 0.2, -4, -4\/7, -1\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + -2)*3\/(-1). Differentiate 2 + 2*m**3 - 3*m**3 - 2*m**q with respect to m.\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-22)*143\/624*-9?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4893047899 to the nearest integer?\nAnswer: 69950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -11, -45, -59, -17, 117, 379, 805, 1431?\n\"Answer: 6*q**3 - 26*q**2 + 2*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (3 - 6)) + 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vtvvt. Give prob of sequence vv.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 750.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42107*a + 84295*a - 42185*a + 7.\nAnswer: 3*a + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 10:46 AM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7, -9, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 918 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/17, 4, -125, 67\/140?\nAnswer: 67\/140","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1329307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -16, -2\/269, -80?\nAnswer: -2\/269","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 12 (b) -0.01 (c) -1 (d) -0.4 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2110*j + m - 19 = -2107*j, -m - 1 = j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in thirteen sevenths of a week?\nAnswer: 13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 2, 19\/2, 444.8.\nAnswer: -11, 2, 19\/2, 444.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 3*x = -5*n + 21, -2*x - 6 = 0. What is the second derivative of -5 + 0 + 5 - 8*q**2 + n*q wrt q?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n - 1. Let z(d) = -18*d**3 - 5*d**2 - 11*d - 6. Let h(y) = -3*t(y) + z(y). What is the hundreds digit of h(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3153578*z - 3154346*z = 30720 for z.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1087873 take away 110.472?\nAnswer: -110.5807873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 + 34. Solve 2*v + 2*s - 16 = 0, -5*v - s + 5*s - 5 = l for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4134 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1157*z - 2283*z + 3*z**4 + 872*z + (3*z**3 + 4*z**3 - 6*z**3)*(-1 + z + 1).\nAnswer: 4*z**4 - 254*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 30\/9 + (-17)\/51. Solve -t = -5, 0 = g*b + 2*b - 5*t for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5360142 - 5360146 - 5360141 + 2*h + 16080429.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 2. Let v(g) = -2*g + 1 - 2*g - 1 - 1. Let t be v(-1). What is the closest to x in t, 0.5, 1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = 3 + 17, 5*v - b - 14 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*s + 147*s - 13*s.\nAnswer: 217*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/15 + 2\/3. Let q(m) = -m + 7. Let y be q(4). Let i be 16\/30 - 1\/y. Which is the third smallest value? (a) 1\/2 (b) i (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (128\/(-48))\/((-310)\/75 - (-3 - 1))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p - 2*p + 74 - 35.\nAnswer: p + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 130505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 1942 = -4*g, -3*g - 3*s + 489 = -2*g. Let c be ((-22)\/(-3))\/(14\/g). What is the highest common divisor of c and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 5*f + 24 = -3*q, -f = 3. Suppose 0 = 4*a + 7 + 9. Is 11 a factor of (-182)\/(-8) - q\/a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -5*v + 4*t - 56, 2*v + 10 = -4*t. Let p = v - 24. What is p rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*p + 283 - 1683 = -24*p + 52*p for p.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -4*i**3 - 167192*i**2 + 1505020*i - 1337824 = 0?\nAnswer: -41807, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27423 and 18282?\nAnswer: 54846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 68*x**3 + 114*x**2 + 2. Let m(i) = 205*i**3 + 344*i**2 + 6. Let o(n) = 11*g(n) - 4*m(n). Find the third derivative of o(b) wrt b.\nAnswer: -432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 + 1)*(-6)\/9. Let z = 7 + -10. Put f, z, -5 in ascending order.\nAnswer: -5, f, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8757075895 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, 105, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -0*l - l - 2*d, 3*d - 5 = -l. Suppose -l*b = -3*k + 154, -2*b + 119 = 2*k + k. What are the prime factors of k?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 9. Let d be -1 + (-3 - 12)*i. Suppose 809 = -30*o - 61. Which is greater: d or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 3*r, -2*r + 5*r = -3*f. Suppose k = 4*c + 17, 5*c + 5 = -f*c - 2*k. Is c\/(-12) - (-23)\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 75400, 150838, 226334, 301918, 377620, 453470, 529498?\n\"Answer: 5*h**3 - h**2 + 75406*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**3 + 17*j + 35. Suppose 4 + 2 = -z. Let l(b) = 103*b - 286 + 298 + b**3 - 97*b. Let g(q) = z*i(q) + 17*l(q). Differentiate g(h) wrt h.\nAnswer: 15*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2985427755 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -138 + -0.51\nAnswer: -138.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by (((-21)\/(-14))\/3)\/((-1)\/(-48))?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 4*y - 12 = 0, -2*u - 6*y + 9*y = -5 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45 and 4575?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 5*h**3 - 1405*h**2 - 116700*h - 1417500 = 0.\nAnswer: -54, -15, 350","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**33*j*j**20*j**(1\/34)*j*j**(-23) assuming j is positive.\nAnswer: j**(1089\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1104)\/(-2208))\/((-17)\/(-6) + (3 - 5))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23.2 + 3.2. Let c = -20.4 - p. What is c rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 83\/2 or 41?\nAnswer: 83\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11050 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n**3 - 111*n**2 + 661*n - 587. Let f(x) = -x**3 + 28*x**2 - 165*x + 147. Let c(r) = -22*f(r) - 6*u(r). Factor c(z).\nAnswer: -2*(z - 12)**2*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3456 + -632. Does 8 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 805\/1621 or 1?\nAnswer: 805\/1621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -71 + 52. Let i = m + -8. Is i >= -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.015 (b) -0.5 (c) 105\/19 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 100 by 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 14, q: 1}. Give prob of picking 4 j.\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of -j**2\/2 - 4*j - 4. Let k be g(-8). Suppose 69 = 3*h + k*a - 0*a, a = 5*h - 115. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -946, -1370, -1726, -2014, -2234, -2386?\nAnswer: -2470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (sqrt(27) + sqrt(243))*2)*-6)**2.\nAnswer: 8640*sqrt(3) + 63108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 5558?\nAnswer: -1667.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**4 - 3*g**2 - g**4 - 4*g**3 + 8*g**4 + 3*g**3 to t + d*g**4 + p*g**3 + s*g + n*g**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2104225 to the power of 1\/3, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + 15*v**2 + 22*v - 95. Let j be b(16). Solve 0 = -5*n + 4*u - j, 3*n - 3 = 5*u - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (15 + -8 - 63)*-1 is divided by 35.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -4*s**3\/3 + 5*s + 9. What is the first derivative of m(q) wrt q?\nAnswer: -8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55*k - 37*k + 15*k)*(5 - 2 - 1) + k - 4 + 4.\nAnswer: 67*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 10 + 7 - 17*q - 1 + q**2. Let l be m(15). Is (-7)\/(l\/908) - 0 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/4 - (-3)\/6. Let q be (t\/3 - -2) + -3. Let f be (-39)\/q + (-1 - -1). Calculate the highest common divisor of f and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q**3 - 5*q**2 - 6*q - 3. What is the lowest common multiple of z(-5) and (148\/592)\/((3\/1)\/228)?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - 14 - -14)*8191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 144 + -121 - (56 + (3 - -2))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*k - 0. Let l be 1\/(0 + k\/4). What is the units digit of (1 + (-6)\/4)*l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 6 + 5 + -8 + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 238, 3246, -4.\nAnswer: -4, 0, 238, 3246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -86. Suppose -10*c + a = 7. Let j be 2\/(-6) - 92\/(-6). Solve -4*i - j = -c*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13177027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-15*(-18)\/45)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6416 + 6440. Solve 38 = -z - 3*c + j, -4*z = c + 23 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1779 - 1766. Solve 10*s - 9 = b*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 456319, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36 (base 13) to base 12.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 2*v**2 - 2*v + 7. Is d(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/(-6)*22\/407. Let j = a - -1444\/1221. Which is smaller: j or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -8 - 165\/(-44)*2. What is the nearest to -1 in 2\/9, n, -1\/4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - w**2 + w + 2. Let g be r(0). Let x(o) = -13 - 248*o**2 + 3 + 121*o**2 + 148*o**g. What is the tens digit of x(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*m + 15*m + 215 = 0. List the prime factors of m.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 12 = 3*g + 2*g, 4*c - g = 9. Solve c*a - 2 = 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -207*f. Let i(d) = -6*d - 1. Calculate i(l(o)).\nAnswer: 1242*o - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44\/(-33)*6\/4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -243.95 from -0.1.\nAnswer: 243.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (6 - 18)*(2445\/(-12) - 7)?\nAnswer: 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) - (sqrt(343) - (sqrt(343) + (-2*sqrt(343) - sqrt(343)) + -1)))**2.\nAnswer: 28*sqrt(7) + 1373","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-3))\/((-2)\/12). Suppose 3*k - q - 17 = -6, 14 = 2*k - a*q. Let o = -20 - -22. Solve 0 = m - 4*v + 14, -4*m + o*m + k*v - 4 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, y: 4, n: 1, g: 1, h: 1}. What is prob of picking 2 y?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -782 + 573. Let h = 71 - s. Is 10 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*o - 36*o + 26*o - 1 to the form x*o + c and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 57911090 to the power of 1\/2, to the nearest integer?\nAnswer: 7610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and -667.57.\nAnswer: -667.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5062271 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 4, -3\/22, 0.02?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 275018 divided by -137509.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(-3 + 9\/2). Suppose 5*o - 2*c + c - 702 = 0, k*o - 426 = 3*c. 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 x(j) = j. Let o(r) = 1. Let t(h) = 3*o(h) - x(h). Let a(i) = -4*i + 13. Let f be 9\/(-3)*(-1)\/3. Let w(l) = 26*l. Let g be w(f). Determine g*t(s) - 6*a(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 7. Suppose 4*x - 3 = 5*b, x - 1 = s*x - 3*b. Solve x = 2*u - 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 448 + 2*b - 161 - 4*b**2 + 587*b**3 + 7*b**2 - b**2 - 589*b**3 as q*b**3 + t + m*b**2 + y*b and give t.\nAnswer: 287","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 258569 less than 47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60 + 0*m - 9*m + 4*m.\nAnswer: -5*m - 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-74 - -128) + -62)\/(2\/2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 208 + -3538\/17. Let q = -6 - -5.93. Let o = 0.93 - q. Which is the nearest to -2\/5? (a) 5 (b) m (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 480613241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(-2\/7)*y))\/y**(-22)*(y\/y**(-2\/5)*y)\/y**(-2\/37) assuming y is positive.\nAnswer: y**(32038\/1295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 98 and 518.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8438, -16878, -25318, -33758?\nAnswer: -42198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 580*b**2. Let s(c) = -5*c**2. Calculate s(l(w)).\nAnswer: -1682000*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1013102111 - 0?\nAnswer: 1013102111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*m + 1369 = 1793 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + 3 + (-11 + 31 - -8).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9b5 - -48268?\nAnswer: 49061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12406, 24851, 37306, 49777, 62270, 74791?\nAnswer: 87346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3022233100 (base 4) to base 11\nAnswer: 5179a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**2 - 95412*n = 0.\nAnswer: -47706, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7\/((-63)\/(-6))*3. Let q = 142.7 + -143. Which is the second biggest value? (a) z (b) q (c) 11 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -54.99999885 - -55. What is n rounded to 7 decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -1125*p**3 + 35525*p**2 - 2555720*p\/9 + 498436\/9 = 0.\nAnswer: 1\/5, 706\/45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 148.29584*3\nAnswer: 444.88752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -1190*c**3 - 111*c**2 + 2357*c**3 - 1166*c**3 - c as p*c + x*c**3 + w*c**2 + m and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 4 + -5*sqrt(288).\nAnswer: -60*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 710916?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 5*u + 365 = s, u = 3*s + 505. Let j = s - -181. Solve 5*t + j = -14 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 457 - 394. Calculate the greatest common divisor of 4977 and n.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -15.371?\nAnswer: 6.1484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45 + -43. Suppose 8*h - 364 = 3*h - x*n, 0 = -3*h + 2*n + 212. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(343) + 1 + 1) - (((sqrt(378)*-1 + sqrt(378))\/sqrt(9))\/(sqrt(6) - -2*sqrt(6)*6))**2.\nAnswer: -14*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7070, 7062, 7040, 6998, 6930, 6830, 6692, 6510?\nAnswer: 6278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2395 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(((-3)\/(6\/4))\/2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**2 - 109*a + 28*a + 81*a.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.164209cm to meters.\nAnswer: 0.08164209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -n + 2, 0 = -5*l - 4*n + 12. Solve 17 = -l*u - 3 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -4. Let u = -16 - -16.1. Put x, 4, u in ascending order.\nAnswer: x, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1310 by -4.\nAnswer: 655\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -781*t + 778*t + 46 = 2*i, -3*t = 5*i - 4*t - 149 for i.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -26*b**3 + b**2 + 9*b + 8. What is the remainder when a(-1) is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 3 + 3 - 20*j)*(-j**2 + 3*j**2 - j**2) to w*j + l*j**2 + o + s*j**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -254 + 23 = -3*i. Calculate the highest common divisor of 11 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5\/37 and 0.03 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7 (b) 2\/9 (c) 1\/4 (d) -96\/694163\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*b = 3. Is (12\/16)\/(b\/156) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124979227 to the power of 1\/3, to the nearest integer?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 297 = 20*q + 577. Sort -6, 2, q, 0, -4 in ascending order.\nAnswer: q, -6, -4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8, 142443, 0.2, 1\/2, 5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.6 + -0.4. Let d be -4 + 5 - (0 + 1). Let b = 1630.2 - 1630. What is the nearest to -2\/5 in b, u, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 10 = 5*z, -10*z - 3*u + 10 = -5*z. Suppose 2*h - 4*w - 12 = 0, -h + 66 = 4*h - w. What is the least common multiple of z\/4 + (-266)\/(-28) and h?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/31 or -16002?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 + 8 = -5*j. Suppose 0*h + 5*h = 2*s + 26, -3*h - 2*s = -j. Solve -u = -h*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + b + 2. Let x be o(-1). Does 6 divide (-2)\/4*x - -7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 4*c**3 - 19356*c**2 - 271768*c = 0.\nAnswer: -14, 0, 4853","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 9 + 15 = 0. Solve -3*h = 4*f - 5*f - 9, -g*h + 6 = 5*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 + 75 = 3*t - 4*g, 3*g = -4*t - 20 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10020022010 (base 3) to base 4.\nAnswer: 33202122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is c in c**3\/2 + 246106*c**2 + 60569639845*c\/2 + 181700059827 = 0?\nAnswer: -246103, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*r**3 - 456*r**2 - 5235*r - 13650.\nAnswer: 3*(r + 5)**2*(3*r - 182)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 10 + 26 = 0. Suppose -2*d = l*q + 26, 0 = -2*q + 5*d - 3 - 4. Let h be (1\/(-2))\/((-3)\/q). Put -2, h, -3 in descending order.\nAnswer: h, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from {n: 5, f: 3}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 518 - 3627\/7. Sort 0.2, 3, 0.3, i in increasing order.\nAnswer: i, 0.2, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -6, -10\/17, -3 in increasing order.\nAnswer: -12, -6, -3, -10\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 870\/(-1155) + 4\/22\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 11:19 PM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.02758 - 0.2\nAnswer: -0.22758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 4128?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, 7.09, -67.2?\nAnswer: -67.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -606 + w**3 - 1455 + 146.\nAnswer: w**3 - 1915","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1059 = 3*c - 5*q + 1049, -5*c = -4*q - 8. Solve -p + 8 = -2*k, c = -5*p - 0*p + 2*k + 24 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2636993, -2636991, -2636989, -2636987, -2636985?\nAnswer: -2636983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 20, 50, 108, 206, 356, 570, 860, 1238?\n\"Answer: 2*b**3 + 2*b**2 + 10*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -8*t - 7*t + 72 - t - 149 + 82. Let m(k) = 63*k - 21. Determine -5*m(l) - 21*p(l).\nAnswer: 21*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3 or 143?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*q**4 + 2*q**2 + 21*q**4 - 8*q**4 + (-4*q**2 + 3*q**2 + 0*q**2)*(-3*q**2 - q + q).\nAnswer: 4*q**4 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -1 + 2496\/432?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 - 0.2. Let x = -27\/94 - -649\/2914. Which is the smallest value? (a) z (b) -2 (c) x (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, q: 1, a: 3, k: 3, n: 9}. Give prob of picking 1 a, 1 k, and 1 f.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2415680158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1456 = -5*q - 2*a, 3*q + 3*a + 44 = 914. List the prime factors of q.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 320 = 4*i, -2*j + 3*i + i = -160. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(684)*1*6*1.\nAnswer: 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -5 (b) -0.12 (c) 0.3 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/15 + 9\/10. Let g be ((-7)\/(-3))\/(2\/(-6)). Let o = g - -5. Which is the second biggest value? (a) o (b) 6\/5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1926 divided by 642\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.6 - -2.5. Put -5, -0.5, q in increasing order.\nAnswer: -5, -0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of 2*j**6\/21 + 12*j**5\/35 - 19*j**4\/7 - 12*j**3 + 108*j**2\/7 + 864*j\/7 - 3251. Factor o(p).\nAnswer: 4*(p - 4)*(p - 2)*(p + 3)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(20\/9))**(1\/10)*((z\/(z*(z\/z**8)\/z))\/z)\/(z*z**(-3\/11)*z) assuming z is positive.\nAnswer: z**(5539\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -635471, -635439, -635389, -635321, -635235, -635131?\n\"Answer: 9*x**2 + 5*x - 635485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + y + 18 = 4*y, -4*y = -20 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -8*p**2 + 6*p. Let h(o) = -12*o**2 + 9*o. Let j(c) = -5*h(c) + 7*u(c). What is the second derivative of j(w) wrt w?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 2*v**2 + 0*v)*(-v**3 + 6*v**3 - 4*v**3) + (-v - v**3 + v + 2*v**2)*(-551 + 42*v**2 + 551) + 2*v + v**5 - 2*v.\nAnswer: -39*v**5 + 84*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 622097 or 4354682\/7?\nAnswer: 622097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -14?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**27\/k**(-10\/9) assuming k is positive.\nAnswer: k**(253\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(117)*-2 + sqrt(117))*2*-1)\/(2*sqrt(441) + (sqrt(99) + -2*sqrt(99))\/sqrt(11)) + 1.\nAnswer: -2 + 2*sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + a - 2. Let c(s) = -12*s**3 - 4*s + 11. Let i(k) = -c(k) - 6*t(k). Let g be i(1). Solve g*j = 8*j - 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -2*p**2 + 62542*p - 2186520 = 0.\nAnswer: 35, 31236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - -4)*7\/14. Suppose -2*j + j = -3. What is the third derivative of 0 + 5 - 5 + j*q**u + 4*q**6 wrt q?\nAnswer: 480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (3 - 2)*(7 - 7)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - 0)*0\/(-3). Suppose -t = -z*t + 3, -3*t = 3*f - 3. Suppose -4*i - 8 - f = 0. Which is the closest to 2\/7? (a) 2\/11 (b) i (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 745063 = 15*b + 745243 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -6*h - 103. Let z be j(-17). Calculate the smallest common multiple of 16 and (z - 1)*(-93 + 51).\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39*r**4 + 681095*r**3 + 18090*r**2 + 1223 wrt r.\nAnswer: 936*r + 4086570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-5) + 2\/5. Let q = 2.26 - 110.26. Let i = q + 106. What is the nearest to 0 in -3, i, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -15*(1 + 16\/(-10)). Suppose -5*x = -2*x - y. Suppose 177 + 90 = x*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -387*d - 5306. Calculate the remainder when v(-16) is divided by 872.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -566 - 548 + 15307*r + 1114 to the form g*r + d and give g.\nAnswer: 15307","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**2. Suppose m + 25 = -3*j + 6*j, j = m + 11. Let b(s) = 7 + 4*s - j. Determine p(b(w)).\nAnswer: 32*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -33569 and 9?\nAnswer: -302121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237049 is divided by 372.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 + 3. Let p(b) be the second derivative of 19*b - 1\/2*b**3 - 3 + b**2. Let t(g) = g - 1. What is c*t(m) - 4*p(m)?\nAnswer: m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -207 + 423 - 207 - 25*t**2.\nAnswer: -25*t**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.6 + 1.6. Let w = -1.3 + q. What is the closest to -1 in 0, -1\/4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 4, -2*a = -5*t - 40 + 698. Let o = a - -324. What is the closest to o in -5\/6, -0.06, 4, -5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 3*x - 23, -8 = -0*w - w + 3*x. Suppose -2*k - 3*j + 5*j = 0, -k - 5*j + 6 = 0. Suppose -4 - k = -5*l. Put w, -3, l in increasing order.\nAnswer: -3, l, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-215*v - 141*v + 209*v)*(5 - 1 - 2)*(-2 + 2 - v + (-2*v - 1 + 1)*(-1 + 3 + 0) + 2*v - 2 + 2) to c + r*v + l*v**2 and give l.\nAnswer: 882","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1762*i**2 + 1819*i**2 + 1723*i**2 - 5306*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 276721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(-2\/17)*c\/(c**(-8\/5)*c))\/(c*c\/(c*c\/(c*c\/(c*c**2*c))*c*c*c))**(-4\/19) assuming c is positive.\nAnswer: c**(3924\/1615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5376 and 436?\nAnswer: 2343936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c**2 + 15*c + 3. Determine h(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3a4 + -63?\nAnswer: -447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 8 - 8 = 0. Suppose -19758 = -6*w - h*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -10111 (base 3) in base 2?\nAnswer: -1011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1105.2 to the nearest 10.\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56030, -56029, -56028?\nAnswer: -56027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*i**3 - 207*i**3 + 111*i**3 + 45*i**2.\nAnswer: 9*i**3 + 45*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 401 and 6746023.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150150 = -12*v - 43*v. Is v a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18284\/39 + (37\/13 - 3). Let w = 474 - c. Let p = w + -5. Which is bigger: -18 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 9*b**2 + 9*b + 9. Determine k(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 c when two letters picked without replacement from {c: 1, o: 1, e: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6 + 6 + 1*4. Suppose 861 = x*d + 3861. Let u = d + 1196. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-494)\/4)\/(-3 + 10\/4). Suppose -g = -3*h + 68. List the prime factors of h.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*n**3 + 17*n**3 - 32*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -50*y**3 + 1. Let t be p(-1). Let x = 1 + 4. Suppose i - 2*d = -6*d - 3, -3*d = -x*i + 100. What is the greatest common divisor of t and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -0.1. Let h = -64 + 63.61. Let v = 0.11 - h. Which is the second smallest value? (a) q (b) -5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12762?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4*3\/6 - 1. Let l = 0.16 - -0.54. What is the biggest value in r, l, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (1 - (2 + (1 - 3)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 6)*(6*q + 3 - 3) + (-1 - 3 + 2)*(-2*q + 5*q - 2*q).\nAnswer: -20*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/5152 and -3\/12880.\nAnswer: 25760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 10*s + 824 = 0. What is the common denominator of s\/112*(-7)\/6 and -41\/22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -5, 0*f + 3*f + 7 = 4*q. Let c(r) = -r**3 - 8*r**2 + 11*r + 12. What is c(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(180) - (sqrt(180) + 1)*4 - (-2 + 2 + sqrt(180)))**2*-1 + 4 + 1.\nAnswer: -8683 - 576*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (94\/((-42770)\/(-273)))\/(56\/10)?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-242)\/44*(-10)\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 4*q + 3. Let u be x(-3). Does 4 divide (-2)\/u - (-770)\/99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3385 = 27*g - 3304 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 + -19.9. Is c not equal to 0.06?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 16*d**2 - 16*d. Let n(l) be the first derivative of l**3 - 3*l**2\/2 - 5. Suppose 16 + 28 = 4*i. Determine i*n(s) - 2*r(s).\nAnswer: s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of p**6\/15 + 345*p**4 - 8*p**3 + 2*p**2 - 4612*p. What is the second derivative of g(x) wrt x?\nAnswer: 24*x**2 + 8280","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13*s**3 + 49 + 46*s**3 - 78*s**3 wrt s?\nAnswer: -135*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b = 1440 - 1380. Solve -b = -2*c - t, 32 - 23 = 3*c + 4*t for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12371 + -12366. Let z(j) = -1. Let y(b) = -4*b - 6. Suppose -8 = 2*g - 3*n, -13 = 5*g - 2*n - 2*n. Give g*y(o) + t*z(o).\nAnswer: 4*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*49*3\/42?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 264*c**4\/7 + 604*c**3\/7 - 7164*c**2\/7 + 10244*c\/7 - 564 = 0. Calculate c.\nAnswer: -7, 47\/66, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 342, 599, 856?\n\"Answer: 257*c + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10569802 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*s**3 + 2 + 3*s**3 + 18*s**3 + 5*s**2 to x*s**3 + j*s + l*s**2 + k and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.22, -8, 4, 0.3, -223 in decreasing order.\nAnswer: 4, 0.3, 0.22, -8, -223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -155 (b) 0.2 (c) -1\/6 (d) -2 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 1538?\nAnswer: -1540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 541537\/51 or 10618?\nAnswer: 541537\/51","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 8*z - 4. Let c be (-14)\/21*(-6)\/z. Solve 0*d = 5*s + c*d - 40, -5*s + d = -15 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -5*o + 86. Let k(w) = w**3 - 7*w**2 + 5*w - 1. Let l be k(4). Let z = o + l. Does 14 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -8*o + 6. Let z(c) = 8*c - 6. Let k(b) = -4*w(b) - 3*z(b). What is the derivative of k(y) wrt y?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5240, 5202, 5082, 4838, 4428, 3810, 2942?\n\"Answer: -7*l**3 + l**2 + 8*l + 5238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -181\/15898 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2304096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5057 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-12))\/((-1)\/(-2)). Let j = -68\/3 + 23. Put v, j, -2\/5 in descending order.\nAnswer: v, j, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/341407 or -1?\nAnswer: 4\/341407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -107\/3, -1\/2, -147\/40 in decreasing order.\nAnswer: -1\/2, -147\/40, -107\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 210 divided by 3?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -187776006 + 47*w + 187776006.\nAnswer: 47*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 704*x**2 + 34*x + 28*x - 62*x - 4 in the form b + v*x + w*x**2 and give w.\nAnswer: 704","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7544 and 123.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -200000002 (base 3) to base 14\nAnswer: -4ad6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + o**2)*(-2 + 2 - o + 2*o + 0 + 0 + 2*o - 3*o - o + (o - o + 2*o)*(4 + 3 - 5) - 6*o + 2*o + 2*o).\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m + 27 = 2*y + 71, 5*m + 2*y - 21 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 36? (a) -1 (b) 0 (c) -0.4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.7361 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 109979 and 639.\nAnswer: 989811","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -64*f + 16. Let x(g) = 14*g - 14*g + 14*g + 3 - 27*g. Calculate -3*i(j) + 16*x(j).\nAnswer: -16*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2100 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26525353 to the nearest integer?\nAnswer: 5150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -779 - -783. Which is greater: 151 or p?\nAnswer: 151","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 213\/2 (b) 7.03 (c) -0.14 (d) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssne when four letters picked without replacement from seenssnneennnnesess?\nAnswer: 35\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -2*t**5 - 691*t**4 + 350327*t**3 - 3956480*t**2 + 10252428*t + 6159168 = 0.\nAnswer: -629, -1\/2, 6, 272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 39243*p + 28325?\nAnswer: 39243","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0, 2\/3, -2, 6, -3\/2, -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 + 24 + 73)*(4*q - 2*q - 3*q).\nAnswer: -71*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of 1\/60*c**5 + c**3 + 0 + c**2 + 0*c - 5\/24*c**4. Let r be q(4). Solve 0 = -6*s + r*s + 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 41*k - 187 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -1.2. Let r = 0 + z. Let x be ((-1)\/3)\/((-4)\/(-3)). What is the closest to -1\/3 in -1\/3, r, x?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4250769 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: Let j be (1\/18)\/(5\/15). Factor j*x + 0 - 1\/6*x**2.\nAnswer: -x*(x - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -282 = -28*u - 58. Solve -2*g = -10*b + u*b - 4, 4*g - 5 = b for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1706\/5 - 340. Which is smaller: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 108 = -6*a. Let k(s) = -s**3 + 28*s**2 - 28*s + 29. Let o be k(a). Solve 0*x + o = x - u, 3*x - 2*u = 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1495 = -3*o - 4*p, 2*o + 5*p = -2*o + 1994. Suppose -2*w + 255 = -5*c, 3*w - o = -w + c. Is 22 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15293\/5 + ((-288)\/40)\/(-18) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 2)*(-3 - 5 + 2)*(-m**3 + 16*m**3 + 19*m**3).\nAnswer: 204*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2248\/(-20) + 6\/15. Suppose -13*i + 15*i = d, -5*i = -2*d + 2. Sort i, -4, z in ascending order.\nAnswer: z, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (7 + 8) - (-55 - -54)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of -42*u - 9\/2*u**5 + 160*u**2 + 485\/12*u**4 + 1\/6*u**6 + 0 - 120*u**3. Factor j(n).\nAnswer: 5*(n - 8)**2*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**4 + 1. Let c(w) = -30*w**3 + 60*w**2 - 40*w - 5. Let p(b) = c(b) + 5*h(b). Find j, given that p(j) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.165459 litres in millilitres?\nAnswer: 2165.459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29273681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 1. Let m be a\/12 + (-428)\/(-16). Let o = m - -3. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-105)\/28)\/((-9)\/48). Suppose 0 = 4*p + y, 4*m + p + 6 = -3. Let w = -8 - -2. Sort m, w, 2.\nAnswer: w, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z**3 - 2*z**2 - 3*z - 3. Let b be i(-2). Let k = 146 + -123. Suppose a - b = k. What are the prime factors of a?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 + 16*g + 18. Let o be m(-15). Suppose -2*x + 32 = x + a, -o*x + 29 = 4*a. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52590 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 3*g + 0*g + 75 = 153, -2*g = -q + 75 for q.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 2*r - 7. What is f(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 4. Let h be u\/4 - 9\/20. Let l = -176345\/9 - -19594. Which is the smallest value? (a) h (b) 16 (c) -3 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w*(w*w**(-10)*w)\/w)*w)\/w*w)\/(((w\/w**(-1\/3))\/w)\/w))**(1\/3)*((w*w**(-1)\/w*w*w)\/w)**(9\/5)*w**6\/(w**1*w) assuming w is positive.\nAnswer: w**(68\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*w + 3*j, 0*j + j + 1 = 4*w. Let t = -7.02 - -7. Let d = t + -0.48. Which is the nearest to w? (a) 3 (b) d (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -0*p - 24. What is the lowest common multiple of p and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2 = 2*o, o - 3 = -2*c - 7. Let n be (14\/(-21))\/(2\/(-6)). Let d(l) = l**2 + 15*l - 31. Let v be d(-17). Solve v*b - n*b = o for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13809798491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8997114 and 1806?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50871 and 845029.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -43430341 + -3?\nAnswer: -43430344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -12*d + 3*d + 7*d + d - 6*d**2 + 4*d + 4. Let p(n) = 5*n**2 - 2*n - 3. Give 4*p(q) + 3*r(q).\nAnswer: 2*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5306?\nAnswer: 2, 7, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -2 (b) -2\/159223 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4400 divided by -2\nAnswer: -2200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 343143 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 335 + 632*t**3 + 640*t**3 + 642*t**3 - 2611*t**3 + 698*t**3.\nAnswer: t**3 + 335","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/2*(-16)\/3. Suppose w = -3*p + 7*p. Calculate the remainder when p is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 333 - 4993\/15. Suppose -10 = -4*k - 2. Let g(i) = i**3 - 3*i**2 + 2*i - 1. Let l be g(k). What is the closest to l in w, 5, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - ((-24)\/(-14) + (2 - 4)). What is the third smallest value in l, -15, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(((-5)\/16)\/(12\/48)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v = 14 + 1. Let k = 8\/9 - 20\/63. Which is smaller: k or v?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2283789*t**2 + 4450752*t?\nAnswer: 4567578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.96 + 2.395. Let a = -0.434797 + f. What is a rounded to 5 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6*a - 3 + 3)*(1445 + 652 - 3751).\nAnswer: 9924*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b**2 - 3*b**2 - 2993*b + 2993*b - 38.\nAnswer: b**2 - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6338108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-13)*p*p)*p**5)\/(p\/(p\/(p*p\/((p*p**(-24)*p*p)\/p)*p))*p)**(6\/11) assuming p is positive.\nAnswer: p**(31\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**4 + 3*v**4 - 2*v**4 + (v**2 - 4*v**2 + 4*v**2)*(3*v + v**2 - 3*v) - 15 + 15 - 6*v**4.\nAnswer: -3*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, -1\/40, 1\/2, -5\/9?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6 + 2*1*(6 + -8). Let i be (r\/11 - (-162)\/198) + 0. Solve -y - j - 11 = 2*y, i = -y - 3*j for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 25274 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + 20 - 3 - 2. What are the prime factors of 294\/(-4)*(-8)\/y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(99))\/sqrt(9) - (sqrt(1331)*2)**2)*2.\nAnswer: -10648 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12746 is divided by 638.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**3 - 8*l**2 - 6*l - 4. Suppose 189*o + 765 = 24*o - 90*o. Calculate d(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.007 + -0.007. Put -4\/7, n, 0.2 in decreasing order.\nAnswer: n, 0.2, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r\/(r*(r\/(r\/r**(-2\/3)))\/r))\/r))**27*(r**(-2\/5))**(-1\/7) assuming r is positive.\nAnswer: r**(317\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 258 and 430?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 436505491?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 486 - 296. What are the prime factors of s?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 3:32 AM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o + 6*o - h + 24, 6 = -2*o + 4*h for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w**(-2\/7)\/w)\/w)**(-7\/2)*((w*w*w\/((w**(-3)\/w)\/w)*w)\/w*w*w)\/(w**(-6)*w)*((w\/(w*w**(-1))*w)\/(w*w**(-3)\/w*w))**(11\/2) assuming w is positive.\nAnswer: w**(83\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 283760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8156 is divided by 23?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1531*241\nAnswer: -368971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/5684 and 9\/28.\nAnswer: 5684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 804291650?\nAnswer: 2, 5, 16085833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1549428794 to the power of 1\/3, to the nearest integer?\nAnswer: 1157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1375 - -2557. Let c(z) = i*z**2 + 1 - 1182*z**2 + 6*z**3. What is c(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 9*d**3 + 2*d**2 - d + 1. Suppose -89*o = -83*o - 30. Calculate the remainder when v(2) is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 4*t - 12 - 1, 0 = -d + t + 3. Let u be (-3 - -18)*2\/d. Suppose -b + u = -44. Is b a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 28 = -2*h, -2*c - 3*c = 2*h - 10. Let s be h\/(-8) - (-1)\/((-36)\/(-69)). What is the closest to -0.3 in s, 2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 48*l + 1. Let n be d(5). What is the second derivative of 0 - n*s**2 + 11*s + 0 + 251*s**2 wrt s?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 3*t = -t, 4*v - 12 = -5*t. Let y be (-126087)\/252278 + (-1)\/v. Let k = 1387505\/116436 + y. Calculate the common denominator of -5\/22 and k.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*i + 103 - 103)*(2*i - i - 2*i) to a*i**2 + k + r*i and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.01 + 5.01. Let l be 6\/4*(-6 - -4). Let n be ((-7)\/(-441)*l)\/((-2)\/12). Put -1, n, g in descending order.\nAnswer: g, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.1 - -3. Let v = -35 + 34. Which is the third smallest value? (a) q (b) 3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-129)\/129*42\/(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -7*k + 60 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**2 + 22*q + 20. Let w be m(-10). Suppose w = -4*d + 2*o - 2, 0 = 6*d - 7*d - 3*o + 3. Solve -4*c + 2*c + 10 = d for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + (20 - (22 + -10) - -5) - -22.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7 + 12 + -17 - (1 + 5). Let r(y) = y**2 - 1. Let b(a) = -6*a**2 + a + 7. Calculate l*r(c) - b(c).\nAnswer: 2*c**2 - c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 PM and 5:30 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (6 - (4 - -4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u + 30. Let x be q(17). Let f = 8 - 10. Put f, x, 3 in descending order.\nAnswer: 3, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -544391, -1088756, -1633121?\nAnswer: -2177486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 2\/5 (c) 0.3 (d) -2\/5 (e) -125\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1387 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 43786 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 2*x = -11*h + 37, 5*h - 38 = -3*x. Let j(u) = -3*u + 2*u + 12 + 11. Let s be j(h). Calculate the highest common factor of 48 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**20*b*b\/(b*b*b\/b**(-2\/7)*b))**(-20\/9) assuming b is positive.\nAnswer: b**(-2480\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 15*o + 408. Let n be 6\/(-8)*102*(-52 - o). Suppose -6*b + n = -225. What are the prime factors of b?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*h + 32*h + 105 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211 + -22101?\nAnswer: -100012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 + -36. Let i = -6.2 + h. Let s = i - -0.2. Is s smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8523 + 0?\nAnswer: -8523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3719 take away -3?\nAnswer: 3722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 640655.19ns to days.\nAnswer: 0.000000007414990625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -310341 (base 5) in base 14?\nAnswer: -3972","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 10, 2, 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -5, 1819, 0 in increasing order.\nAnswer: -5, 0, 3, 5, 1819","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.08, -69, -0.05, 131?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 46?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -174 - -56 - (-21 + -30)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 11*j**2 + j + 161. Let c be p(-12). Solve 2*a = n - 11, -c*n + 14 = -2*a - 17 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(((-9)\/6)\/(704\/(-128)))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 149 - 101. Let u = 40 + -52. Let p = f - u. Is 20 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from qqqqiiqqxqqqqqqqq?\nAnswer: 143\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 350*n**2 + 3*n - 3. Let a be l(-3). Suppose 0 = 4*t + m - a, -m + 1562 = 2*t + 3*m. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1464053099\/174888 - -17\/43722. Let l = x - -42795653\/5112. Let k = 2\/213 - l. What is the second biggest value in k, -5, 0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 + -28. Suppose -o*g = -5*d + g + 32, -2 = -2*d - 2*g. Factor -10*h**2 + 14*h**2 - h**d - 3*h**4.\nAnswer: -4*h**2*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, w: 2, p: 7, y: 4, i: 1}. Give prob of picking 1 i and 3 b.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12847, 2, 7 in decreasing order.\nAnswer: 7, 2, -12847","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.33688 + 0.23688. What is the nearest to -2\/143 in 1, -1\/3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -58*k - 26*k - 42*k - 124*k as g*k + n and give g.\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - (-2978 - (2 - 7)). Calculate the highest common factor of y and 476.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 9.6.\nAnswer: -2.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 5*b + 14 = 0, -3*v - 14 = -4*v - 4*b for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11645749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1102 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1012303111 (base 4) to base 16\nAnswer: -46cd5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 + 33 + 3389*t - 65 - 3388*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000413 rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l - 14. Let p be v(11). Let y(f) = 2*f**2 - 6*f - 8. Suppose -2*d + 10 + 6 = 0. Let t be y(d). Calculate the greatest common divisor of t and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 119 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 6:52 PM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 8.9 times 0.3792\nAnswer: 3.37488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19266, 76908, 172978, 307476, 480402, 691756?\nAnswer: 941538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0762? (a) 4 (b) -0.24 (c) 7 (d) 1\/197\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (117 - 71) + -34 + (-2 - -1 - -3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -884*o + 208*o = -377*o. Determine a so that -8\/5*a + o + 0*a**3 - 12\/5*a**2 + 4\/5*a**4 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 556, 7, 12, -3 in descending order.\nAnswer: 556, 12, 9, 7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 434, 3017, 7314, 13325, 21050, 30489, 41642?\n\"Answer: 857*u**2 + 12*u - 435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -39174*f*y**2 + 4*f*y + 64*y**2 - 956182 wrt f.\nAnswer: -39174*y**2 + 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.02, -1\/3, 238, -4\/19, 17 in increasing order.\nAnswer: -1\/3, -4\/19, -0.02, 1, 17, 238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 712 and 29330840?\nAnswer: 29330840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1381 - 149.\nAnswer: -148.8619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6534 (base 8) to base 7.\nAnswer: -12654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2000 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -2. Suppose -s + 16 = s - 4*i, 0 = s + t*i + 6. Let h be (-15)\/(-21)*(-6)\/(-15). Which is the smallest value? (a) h (b) s (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 6*p - 9. Let f be w(4). Let k = 30 - f. Calculate the greatest common divisor of k and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 1\/4 (c) -1.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -97*f**2 - 969*f + 14. Let z be y(-10). Put 188, -4, z, 5, -5 in descending order.\nAnswer: 188, 5, z, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1201, -349 in ascending order.\nAnswer: -349, -1, 1201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -37839381 != -37839379?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35.13 - 35. Is d != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 249 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -61551845 divided by 5\nAnswer: -12310369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = z - 25. Suppose -2*o - o + 10 = -2*n, z*n + 14 = 2*o. Suppose -4*v = -3*v. Put v, 1, o in increasing order.\nAnswer: v, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2508)\/(-51) + 0)\/(-8 - -7). Sort 1\/7, g, -1.\nAnswer: g, -1, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 13, -22, 7 in increasing order.\nAnswer: -22, -9, 7, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200)*3)\/sqrt(10) - sqrt(20) - (sqrt(20) - sqrt(20)*-3)*-1)\/((4*sqrt(1440) + sqrt(1440) + sqrt(1440))*6).\nAnswer: sqrt(2)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 2\/5, -1\/4, 11 in decreasing order.\nAnswer: 11, 2\/5, 1\/4, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + p**2 + p - 1. Let v(f) = -41*f**4 - f**3 - 74*f - 1. Let s(m) = -b(m) + v(m). Find the second derivative of s(j) wrt j.\nAnswer: -492*j**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that t**5\/3 + 6*t**4 + 16*t**3\/3 - 6*t**2 - 17*t\/3 = 0.\nAnswer: -17, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 41905187.1 minutes in weeks?\nAnswer: 4157.260625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, b: 19}. What is prob of picking 3 b?\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5123700?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -439*k**3 + 120*k**3 + 151*k**3 + 156*k**3.\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**2 - 13*d - 73. Let u be l(30). Suppose 30*t - 703 = u. List the prime factors of t.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 5*h**2 - 388*h + 247. Let k be u(77). Solve -k = -162*f + 154*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 155 + -150. Suppose 3*n - 3*b + 55 = -20, -3*b - 81 = 3*n. Let r = 25 + n. Sort -5, r, c in decreasing order.\nAnswer: c, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 438 = 3*j, -2*u = j - 6*u - 152. Suppose -j - 21 = -3*x. Suppose 0 = -16*p + 21*p + x. Which is the smallest value? (a) p (b) 0 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4063282454 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 12 = 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 - 2343?\nAnswer: -2332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 6*a**2 - a + 23. What is w(7)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39\/(4797\/(-82)))\/((-4)\/(-48)*4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -17*k**3 - 91*k**2 + 11*k - 14. Let m(g) = 6*g**3 + 30*g**2 - 4*g + 5. Determine 11*m(v) + 4*q(v).\nAnswer: -2*v**3 - 34*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s - 2*s - 6*s)*(-1 - 1 - 3) + (-s - 4*s + 3*s)*(0 + 6 - 3).\nAnswer: 14*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -73.4 - -138.5. Let f = -54.1 + s. Is -12 smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1 + sqrt(17) - sqrt(3264)\/sqrt(3))**2.\nAnswer: -56*sqrt(17) + 849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m - 3*m + 3*m)*(-34*m**2 - 7*m**2 + m**2 + 6*m**2) to the form n*m**2 + f + x*m**3 + h*m and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*g - g**2 + 13*g + 10*g.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3072\/160)\/(-12))\/(22\/(-15))?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3761? (a) 2\/7 (b) -0.1 (c) 0 (d) -1\/6 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, z: 4, r: 4, q: 6}. What is prob of picking 4 q?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**2 - 1 + h - 4*h**3 + 4*h**2)*(h**2 + h**2 + 0*h**2).\nAnswer: -8*h**5 + 2*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -4\/4581?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5162 divided by 2581\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16\/51 + -6\/17. Let z be 1 + -2 + (6 - 4). Let l be ((-4)\/70)\/z*5. Which is bigger: l or o?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -8*n**2 - 17*n + 17. Let f(w) be the second derivative of -w**4\/12 - w**3\/3 + w**2 + w. Let a be 33\/(-5) - 69\/(-115). Calculate a*c(p) + 51*f(p).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19489, -131, -26 in ascending order.\nAnswer: -131, -26, 19489","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59.13591 litres to millilitres.\nAnswer: 59135.91","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 643752 and 126?\nAnswer: 4506264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 300 and 800.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4997 - 4726. Are 267 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3023\/4 + 30167\/40. Let b = 646625\/24 - 26938. Find the common denominator of s and b.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-12))**(1\/51)*(j*(j**(-6\/7)\/j)\/j)\/(j*j\/j**(-19)) assuming j is positive.\nAnswer: j**(-8069\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -354*l - 3236 - 1795 - 2403 for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*v**2 + 3*v**2 - 8*v**2)*(-3 + 0 + 1) + v**2 + v - v)*(-v + 3*v - v)*(-4 - 5 + 10)*(0 + 2 + 0).\nAnswer: 10*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 2 + 18. Let b = -3 - i. Suppose b*w = 3 + 7. What is the remainder when w is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 473079*c**2*h**3 - 664*c**2*h**2 - 3*c**2*h + 2*c**2 - 2*h**3 + 13*h wrt h.\nAnswer: 2838474*c**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 37 (base 8) to base 13\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -5*f - 12. Let y be o(-4). Suppose 286 = -y*n - 346. Let k = 83 + n. Solve 3*c - q - 3*q = -5, -k*c = -4*q for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*i + 20*i = -1363236. Let b = -150809 + i. What is b rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5*1*(-9)\/18576*-16. Let x be ((-7)\/(-28))\/((-3)\/(-12) + 0). Is c greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -4 + 3 + (-2 - 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -743561*v + 1487138*v - 743555*v.\nAnswer: 22*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u - 4 + 4 - 3*u + 3*u - u + (2*u - 5*u + 9*u)*(2 - 5 + 1) + (0*u - 2*u + 0*u)*(6 - 1 - 3) to m*u + r and give m.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 20 (b) -0.02 (c) -5 (d) 0.4 (e) -2 (f) 41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-2)*(-79)\/((-13825)\/(-1470)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11152225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3269 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-12))\/(2\/(-6) - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04 and 2.3.\nAnswer: -0.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (105 + 1)*(15 + -4). Let z = -632 - x. Let n = z + 3359. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, m: 5, f: 1, n: 6, r: 1, v: 2}. Give prob of sequence fnrm.\nAnswer: 1\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 1 (c) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -99454 - -99456. Let d be 4\/6 - 105\/36. Sort -1\/8, d, p, 0.3 in descending order.\nAnswer: p, 0.3, -1\/8, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) 2\/7 (c) -0.1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*j + 7. Suppose 4*r - j*r = 2. Suppose -4*i + 3*w - 6 = 0, 3*w = 3 + 3. Put i, -1, r in decreasing order.\nAnswer: r, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 17\/16166?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f + 0*f + 10*f**2 + (4*f**2 + f**2 - 4*f**2 + (-f**2 - f**2 + 5*f**2)*(-2 + 2 + 2))*(3 + 0 - 5) as k*f + z + m*f**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 126 and 1287894.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 126684?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23.59 - 7.95. Let j = v + -0.54. Let p = -16 + j. Is p at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - -5)*754\/6. Suppose -19*s = -32*s + t. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2075363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2907 by -99.\nAnswer: -323\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 0*y - 9 = 0. Let r = -93564 + 93564.047. Which is the closest to r? (a) 4 (b) y (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 804.3654ug?\nAnswer: 0.8043654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1201, -1199, -1197?\nAnswer: -1195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13*-3*1*(-163)\/489.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((44 + 42 - 61)*(2 - 2 + 1) + 3 + 2 - 6)*(25 + 0*u - u - 47).\nAnswer: -24*u - 528","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (3 - 2) - (3 + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -877789 divided by 199\nAnswer: -4411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 h when four letters picked without replacement from ohhoooohooooohohoho.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/4*40\/(-6). Let s = -715482 + 1215482. Suppose -l*h = -5*h + s. What is h rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 + 234915\/60)\/(6\/8).\nAnswer: 17, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - 1.9762.\nAnswer: -0.9762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -138*x**3 + 82 + 3*x**2 - 34 - 48 in the form j + n*x**3 + y*x + g*x**2 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (385\/44 + -5)\/(15\/36)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 31? (a) 1\/6 (b) -3 (c) 5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h + 750 = -36*h + 53*h. Solve -590*i = -585*i - h for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xfgegeggifxxfgxeeiig. Give prob of sequence ii.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((42\/(-18))\/((-4)\/3))\/(703\/2812)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/2*(-4)\/(-8). Let z be (k + 9\/(-6))*0. Let r(u) = u**2 + 5*u + 2. Let m be r(-5). Solve z = 7*q - m*q + 25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 422548502 to the power of 1\/5, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -4*x**2 + 21 + 9*x - 43 - 3*x + 23. Let i(s) = s**2 - s. Determine 3*i(d) + l(d).\nAnswer: -d**2 + 3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 9) to base 12\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*s - 117 = -661. Suppose 9*h - 25 = 4*h. Put -2, s, h in ascending order.\nAnswer: s, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3 + 2*n**2 + 3*n**3 + n - 3 + 2*n. Let j be r(3). What is the highest common divisor of j and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 44904*z**3 + 4*z**2 + 145*z - 446. Is t(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -0.3 (c) -2\/751 (d) -0.5 (e) -131\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**3\/19 - 308054*i**2\/19 - 616102*i\/19 - 308050\/19 = 0. Calculate i.\nAnswer: -154025, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1131514487?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 67068 and 53073144.\nAnswer: 159219432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n - 488 + 38. Suppose -34*x = n - 211. Solve i + x*f - 4 = -0, 3*f - 3 = -2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42 + -38. Let b(r) = r**2 - 4*r + 8. Let u(f) = -4*f - 2. Let h be u(-2). What is the lowest common multiple of b(h) and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + (-1362)\/(-30) - (-10)\/(-25). Is 43 greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 11*c + 6. Let t be o(4). Suppose 5*r + t = 2*w, 7*w + 2*r = 3*w + 76. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/8 + 95*j**2\/8 + 2303*j\/8 + 2209\/8.\nAnswer: (j + 1)*(j + 47)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 3*a - 684, -3*q - 538 = -0*q + 4*a. Let d be q - ((-12)\/(-1))\/3. Let i = 354 + d. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 4. Suppose 3*m = -m - 4, -4*d - 3*m = -45. Calculate the remainder when d is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10222131 (base 4) in base 8?\nAnswer: 45235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 2:34 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -2*y**2\/5 + 24*y\/5 + 26\/5 = 0.\nAnswer: -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + 6*r**2 + 8*r - 4. Suppose -2*v - 28 = -6*v - 3*s, -v = -5*s - 7. Let k be h(v). Suppose -k*t + 6*t = 75. Solve 0*a - t = -5*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2246 times -11.3?\nAnswer: -25379.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m + 8. Suppose 2 = r - 4. Let h be t(r). What is the third derivative of 0*j**h + 3*j**3 + 6*j**2 - 4*j**2 wrt j?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-4684)\/(-6)*(-2)\/4*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2716263 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four fifteenths of a decade?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -4 (b) 0 (c) -0.1 (d) 0.046\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.6 + 0.1. Let q = 35.8 + -35.9. What is the nearest to q in -1\/4, m, 4\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d + 19 = -32. Let p be (-400)\/10*d\/24. Calculate the highest common divisor of 45 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-32)\/(-10))\/((-6)\/(-15)). Let w = h + -17. Is 16 a factor of (44\/6)\/(w\/(-81))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.11, 20, -1\/4, 5\/2, 2.\nAnswer: -4, -1\/4, 0.11, 2, 5\/2, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2. Let h(n) = 2*n**2 - 706*n + 42. Determine h(x(z)).\nAnswer: 2*z**4 + 706*z**2 + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 2719 = -t - 2716, -t - 5*j - 5 = 0 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**2 - 2*t - 18 - 5*t**3 + 16 - 2*t**4 + 5*t**3 to the form g*t + i + w*t**4 + c*t**3 + h*t**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1448*d = 3398*d - 700*d + 8292 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/((-4)\/(-5)) - 735\/(-490). Solve 4*j + 12 = 3*m, j = -s*m - 18 + 15 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1083 is divided by 251.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from veveveevdvdedve.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43 - -258. Suppose d = 5*f - 5*v, f - 2*v - 4 - 34 = 0. What is the remainder when 334 is divided by f?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2938 - 2832. What is the highest common divisor of k and 3816?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2696, 1, 11950, -11 in decreasing order.\nAnswer: 11950, 2696, 1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5*sqrt(234) + sqrt(234)*1)\/(sqrt(18)\/(2*sqrt(9)*2)).\nAnswer: -192*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Solve 151*a = 150*a - 4*c + 18, 0 = 3*a - 4*c + 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.73 rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - -2. Let w be -3 - x*(-1 - 0). Solve -2*b = 4*a + a + 5, -w*a = -b + 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7671182 is divided by 5503?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-2))\/(2\/52). Let a(u) be the second derivative of -13*u**3\/2 - 7*u. Let l be a(-3). What is the highest common divisor of l and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a tonne in kilograms?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 157853160 divided by 17\nAnswer: 9285480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -692*r - 4790. What is d(-7)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -416*l**2. Let b(j) = 5224791 - 5224791 - 2*j**2. Determine b(g(v)).\nAnswer: -346112*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 650856629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (4815\/(-1575) + (-18)\/(-315))*(-410)\/(-30)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, w: 3, s: 4, f: 1, j: 1, y: 1}. What is prob of sequence yyw?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1254 and 342.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 115033?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -1423241*p. Let n(c) = -3*c**2. Calculate g(n(m)).\nAnswer: 4269723*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 420 + 2760 = -5*h. Let k = 1686 + h. What is k rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 2*c + 2. Let k = 36 + -38. Let w be f(k). Solve -w*r - 7 = r - 2*v, 0 = -2*r + 3*v - 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -b**4 - 4972*b**3 - 29777*b**2 + 94378*b + 119184 = 0.\nAnswer: -4966, -8, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*z + 124 + 44. What is the remainder when z is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + q**2 + 10*q - 1. Suppose 4*j - 31 = -43. Let b be a(j). Solve b*p + 20 = -5*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(3840) + (sqrt(3840)*-2 + sqrt(3840) - sqrt(3840)))*3*-2)\/(4*-3*(sqrt(36)*-1)\/sqrt(3)).\nAnswer: -24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/27 or -746\/5?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 216 + -210. Let n(r) be the first derivative of r**3\/3 - 3*r**2\/2 - 5*r - 1. List the prime factors of n(z).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1 + (sqrt(175)\/(1*sqrt(112)))\/(3*(sqrt(500)*2 + sqrt(500))) + -4)**2.\nAnswer: -sqrt(5)\/45 + 414721\/25920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 2:47 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -64624, -129237, -193850, -258463, -323076?\n\"Answer: -64613*x - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, y: 6, f: 8, t: 2}. Give prob of picking 1 f and 2 p.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -410330 - -2000?\nAnswer: -403330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of 0*a**2 + 1\/12*a**4 + 5*a - 8 - a**3. Give k(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((z*z**(-10))\/z)\/z*z*z)\/z*z*z**(5\/3)*z)**(-10))**30 assuming z is positive.\nAnswer: z**1900","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 113\/(-6) + (-1)\/6. Let j = n + 24. Suppose 2*y + 118 = j*t, 0 = t - 5*t - y + 84. List the prime factors of t.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 484 a factor of 833361080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117513245?\nAnswer: 5, 23502649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 901947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1*sqrt(475) + sqrt(475)*2*-5 + sqrt(475) - (sqrt(475)*-2 + 0 + 3))**2.\nAnswer: 30400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (2 - (-6 + (0 - -2)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18431\/5826 + 3\/971. Sort -3, g, -2\/5 in descending order.\nAnswer: g, -2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8c25a9 (base 13) to base 8\nAnswer: -14521266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10786 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 5, 19, 5302, -4, -1.\nAnswer: -5, -4, -1, 0, 5, 19, 5302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/2)\/((-1)\/10). Suppose 5*t - 25 = -3*u, -t = -m*u + 118 - 39. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - p**2 + 1)*(-73*p**3 + 27*p**3 - 177*p**3).\nAnswer: 223*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - v - 4610 = -5*u, -2*u + 2*v + 1832 = 0. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w + 7. Let n be c(-2). Let j(g) = -g - 10. Let s be j(-8). Put n, 0, s in increasing order.\nAnswer: s, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -220021 (base 3) in base 10?\nAnswer: -655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 8*m - 8. Suppose -4*z - 5*y = -z - 11, -z + 3 = m*y. Suppose 0 = -g + 3 + 5. Which is bigger: z or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 9*u**3 - 11*u**2 - 29*u - 9. Is k(10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p. Let j(h) = 3*h**2 + 34*h + 2. Let n(f) = -f**2 - 13*f. Let o(a) = j(a) + 2*n(a). Calculate o(c) - 6*t(c).\nAnswer: c**2 + 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 + 16*p - 24. Let o be r(14). Suppose 0 = -4*z - 8 - o, -z = -5*w + 58. Suppose 5*c = w*c + 6. Is c <= 6\/47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/5 (b) 18 (c) -2\/31 (d) 0.1 (e) -1.3 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 5993?\nAnswer: 179790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s**3 - 45*s**2 - 23*s - 1063. Determine b(-23).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 833?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 19068?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 37619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*u - 1, 0 = 3*d - u - 9. Is d not equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7918, -7824, -7656, -7378, -6954, -6348, -5524, -4446?\nAnswer: -3078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76, -74, -70, -64, -56, -46, -34?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, n: 1, y: 6, o: 1, p: 2}. Give prob of sequence yo.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 107926 + -970264\/9. Let i = y - 119. Which is smaller: i or 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/3 and 53\/444861.\nAnswer: 444861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 30419 to the power of 1\/2, to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 9:58 AM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of o**6\/840 - o**4\/56 + o**3\/21 + 3*o**2. Factor r(c).\nAnswer: (c - 1)**2*(c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 258870?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of x**6\/120 - x**5\/10 + 7*x**4\/24 - 13*x**3\/3 - 24*x**2. What is the hundreds digit of d(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -96329\/16 - -6023. Let r = -13139\/3 - -183667\/42. What is the common denominator of n and r?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i**3 - 3*i**3 + 951*i + 949*i - 2623*i + 716*i.\nAnswer: 2*i**3 - 7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 269855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -11*s**2 - 6*s + 44. Let k(f) = 10*f**2 + 4*f - 37. Let u(c) = -6*k(c) - 5*p(c). Let i(v) = 6*v**2 - 6*v - 3. What is 2*i(n) + 3*u(n)?\nAnswer: -3*n**2 + 6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 3:44 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/83160 and 173\/5488560.\nAnswer: 5488560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 divided by -2?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 195 divided by 405\nAnswer: 13\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3525*s + 324115. Calculate w(-92).\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 8:15 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 24, 58, 106, 168, 244, 334?\nAnswer: 438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -480*b**2*r - 2*b**2 + 71*b*r - 1702528*r with respect to b.\nAnswer: -960*b*r - 4*b + 71*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147*g + 147*g - 345*g**3 + 52*g**3 + 52*g**3.\nAnswer: -241*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30 - 35) + -6 + 2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4816*d*h**3*s + 14*d*h**3 + 5*d*h*s**3 + 82*d - h**2 wrt s?\nAnswer: 4816*d*h**3 + 15*d*h*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 13*m**2 + 7*m - 17. Let i(n) = 7*n**2 + 4*n - 9. Let f be (22 - 0\/(-2))*4\/8. Let l(y) = f*i(y) - 6*o(y). Suppose l(s) = 0. What is s?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 44771.75.\nAnswer: -89543.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -200020222221 (base 3) to base 16\nAnswer: -57be3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.85 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -662. Let q be (o\/16)\/(-5) + 8. What is the biggest value in -2\/7, -1\/9, -1\/5, q?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195658429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**3 + 586 + 210 + 258 + 224 + 30*d**2.\nAnswer: -2*d**3 + 30*d**2 + 1278","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2448.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -4*t**4 + 6092*t**3 - 2328640*t**2 + 6931200*t = 0.\nAnswer: 0, 3, 760","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 53710 and 112660.\nAnswer: 1310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 6:50 AM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -5*g - 24. Let i be z(-7). Suppose 3*n - 13 = -2*o + 4*n, i = -o - 3*n. Solve -2*p = -o*p - 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2*z + 9 = -z, -4*q = 5*z - 3. Let k be (-8)\/(-4) - (q + 9). Sort 14, -3, 0, k in descending order.\nAnswer: 14, 0, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -12274, -12661, -13278, -14125, -15202, -16509, -18046?\n\"Answer: -115*f**2 - 42*f - 12117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 763*t**2 - 1542*t**2 - 25449*t + 781*t**2 + 25449*t.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -2*u**4\/5 + 16306*u**3 - 1303998*u**2\/5 + 244494*u = 0.\nAnswer: 0, 1, 15, 40749","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - q - 28 = 0, -7*r + 10895*q - 10894*q = -202 for r.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2262 (base 10) to base 3.\nAnswer: 10002210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -374378 = -25*b + 1329897. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*(-5)\/25)\/((-1)\/(-5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/(-10))\/(3\/10). Suppose w + 4 = -i*b, -w - 4*b = w. Let n = 7 + -11. Put w, 2, n in decreasing order.\nAnswer: w, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -26, -11, 5 in decreasing order.\nAnswer: 5, 1, -11, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, v: 1, s: 1, u: 1}. What is prob of sequence ou?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**2. Let q(b) = 43*b - 3 + 12*b + 1 - 26*b. What is q(i(t))?\nAnswer: -58*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*o**3 + 3*o + 11*o**3 + 7*o**4 - 15*o**4 - 2 + 0*o - 14*o**4 to h*o**2 + b*o + g*o**4 + w*o**3 + u and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of v**5\/60 + 5*v**4\/24 + 11*v**2. Suppose 3*l + 23 = -4*x, -3*x - 10 = -0*l - 5*l. Give k(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6453 or 0?\nAnswer: 6453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 99*m**2 - 10*m**2 + 34*m**2 as d*m**2 + r*m + h and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 15, f: 4}. Give prob of sequence dff.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1543.703 - -1543. Let c = 0.763 + r. Let u = 0.5 - 0. What is the nearest to 0 in 4, u, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.11, -3.9, -0.4, 110\/9, -1\/7, 3, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (3 - 11 - 9 - -17)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0558 + -265.9442. Let s = m - -265.8. What is the second smallest value in s, 0.15, -4\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 27. Calculate the remainder when (2 - 1)*(-884)\/(-17) is divided by c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1470 - 187.1.\nAnswer: 1282.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7523905828 - 20*h**3 - 7523905828.\nAnswer: -20*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l + 126 = 40*l - 92*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/9, 510, 0.4, -1, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/4 - (-85)\/34. Suppose 0 = -k*n + 2*l + 12601, 12*l - 16*l = 5*n - 21009. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -131 - -164. Let g = 43 - 25. What is the remainder when b is divided by g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 5*a - 35, q + 0 = -2*a + 2. Suppose 3*h = -a + 81. Suppose s + s - h = 0. Does 6 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 13 = s - 74, -s - 3*b + 41 = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6216.6 and 4.\nAnswer: -24866.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3015697 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -2637*t**2 - 1665*t + 220. Find the first derivative of p(o) wrt o.\nAnswer: -5274","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*x**2 + 200*x + 109*x - 45*x**2 - 78*x wrt x?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1c18 (base 15) to base 4\nAnswer: -1133102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3*w = 7920. Calculate the common denominator of (-3382)\/w + (-54)\/99 and -119\/48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2 = 26. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61066125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - 0.103\nAnswer: -0.603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 3*g - 2753, 3*a + 339*g - 2070 = 342*g. Calculate the remainder when a is divided by 151.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - -1) + (5 - 3). Find p such that -63*p**3 + 8*p**2 + 59*p**3 - 12*p**4 + d*p**5 + 4*p**4 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5166, -5139, -5112, -5085?\nAnswer: -5058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3\/5)*d*d**(-2)\/d*d*d*d)**(-5) assuming d is positive.\nAnswer: d**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 3*k**2 + 2. What are the prime factors of x(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1a - -4?\nAnswer: 1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, g: 9}. Give prob of sequence wwgg.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009935867 rounded to 7 dps?\nAnswer: 0.0009936","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2415*u**2 - 506*u**2 - 179*u**2 + 1969*u**2 to s + t*u**2 + l*u and give t.\nAnswer: 3699","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166 = -8*j + 246. Let y(v) = -10*v**2 + 2*v - 9 + 4*v**3 - 7 - 3*v**3. Let i be y(j). Solve -16 = -0*k - i*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m + 4. Let t(x) = x**2 - 31*x - 9. Let i be t(31). Let a be -7 - (-7 + 27\/i). Determine o(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/9)\/(2\/2). Let l = -0.1 + -0.9. Is c <= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29237257.1 rounded to the nearest 100000?\nAnswer: -29200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c + 4. Let n = 76 - 71. Let l = 8 + -2. Let k(y) = -y - 3. What is l*k(u) + n*a(u)?\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 132 and 5784.\nAnswer: 63624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 85 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of 41*m**5\/20 - m**4\/6 - m**3\/6 + 3*m**2\/2 + 3*m. Suppose r - 2 = -r - 2*s, 5*r - 4*s - 14 = 0. Is t(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 10:52 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 3*c - 57 = 0, -o - 3*c + 33 = -6*c. Calculate the smallest common multiple of 40\/(-6)*(-15)\/5 and o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, n: 4, a: 3, v: 1, t: 3, s: 1}. What is prob of sequence vsh?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/8*(4\/22*-1)\/((-183)\/(-1647))\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 130538a (base 11) in base 5?\nAnswer: 1034334310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 48462075 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 9. Let g(m) = m - 8. Let p be g(13). Solve p*h - 4*i + 5 = -w*h, 4*i = -5*h - 45 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -807, -596, -45, 1008, 2725?\n\"Answer: 27*k**3 + 8*k**2 - 2*k - 840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 252 and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3 + 8 - 10 + 22*s - 12. Is q(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1497468 and 5523?\nAnswer: 393834084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 - 2251*h.\nAnswer: -h*(h + 2251)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28979544?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -982272*v + 982275*v - 4*h + 24 = 0, -1 = -5*v - 7*h for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**5 + 102*s**4 - 612*s**3 + 1254*s**2 - 1065*s + 324 = 0 for s.\nAnswer: 1, 4, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209965278.\nAnswer: 2, 3, 29, 503, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**3 - 1 + 1 + (b**2 + 4*b**2 - 4*b**2)*(3*b + 0*b - 1 + 3).\nAnswer: 6*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**2 - 1085174*b - 52 + 1085174*b as l*b**2 + s*b + i and give i.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + m = 3*a + 10, -2*a - 4*m = -18 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 533.965ug in nanograms?\nAnswer: 533965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**4)**49 assuming y is positive.\nAnswer: y**245","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.05 (b) -1 (c) 0.9 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of -p**5\/10 + p**4\/4 - 4*p**3\/3 + 8*p**2 - 1303*p. What is n(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 6) to base 13.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (d**3 + 2*d**4 - d**3)*(4 + 19 + 67 + (1 + 2 - 2)*(0 + 3 - 2)) in the form j*d**3 + b*d + p*d**2 + q*d**4 + y and give q.\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -1 - 222*t**3 + 223*t**3 - 8 + 17*t - 16*t**2. Determine j(15).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1409 (b) -1 (c) 5\/14852\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25552898?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -9, 4, -1 in decreasing order.\nAnswer: 4, -1, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 944 = 80*b - 78*b, -4*f - b + 1252 = 0. Calculate the remainder when f is divided by 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 9*y**2 - y - 4. Let z(c) = c**2 + 2*c - 1. Let r(x) = 27*x**2 + 8*x - 15. Let m(i) = -r(i) + 5*z(i). Determine 5*m(t) + 12*s(t).\nAnswer: -2*t**2 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -1. Which is the nearest to -3\/4? (a) -1\/5 (b) p (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - -3 - 1 - 0. Suppose 0 = -5*u - i*r + 4*r - 30, -3*r + 11 = 2*u. Which is greater: u or -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62894 rounded to the nearest 100?\nAnswer: -62900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*c = 155*c - 25. Suppose -3*r - 19 = -2*i, 3*r + 10 - 1 = 0. Suppose -3*p - 264 = -5*w - i*p, -282 = -c*w + 4*p. Is 6 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of 0 + 7\/6*k**3 - 6*k**2 + 0*k + 1\/24*k**4. Calculate h(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(9) - sqrt(9)*3)*5)\/(sqrt(21)\/(sqrt(7)*4))*4.\nAnswer: -160*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1657660 to the nearest one hundred thousand.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 7 - 21 = 0. Suppose -36 = -3*t - 3*p, -4*t + 82 - 61 = -5*p. Solve t = -2*a - s, 5*a - 2*s + h = s for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1556 and 1982733.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4375193315.\nAnswer: 5, 29, 73, 103, 4013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5\/3, 2\/3, 0.4 in decreasing order.\nAnswer: 1, 2\/3, 0.4, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 109028 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2412 (base 14) to base 4.\nAnswer: 1202100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -19, -43, -69, -97, -127?\n\"Answer: -j**2 - 21*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -290 + 294. Which is the closest to 2\/3? (a) -3 (b) -0.8 (c) 0.5 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1926 + 2094. Does 14 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 4*m - 2*m)*(-3 - 2 - 3).\nAnswer: -16*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5255273?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 2*p**2\/3 - 2852*p\/3 + 1016738\/3 = 0.\nAnswer: 713","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (44\/6)\/(12\/9 + -2). Let i = x + 13. Suppose t + 6 = a - 5, 2*a - 10 = -i*t. What is the remainder when 22 is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s + 10*s + 102 = 0. Let z(x) = 9*x**2 - 5*x - 23. Is z(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 881242 - 143364 = 22*d - 138052. Does 55 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 621 and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 2*s**2 - 2. What is the tens digit of g(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 (base 12) in base 6?\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 44 = -4*i - 28, -3*i + q = 46. Let k be -4 - i\/4 - 4. Let j(x) = 3*x**2 + 11*x + 10. Let f be j(k). What is the highest common factor of 14 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-78)\/(-30) + 2\/5. Let l be (1 - s)*5\/(-1). Solve -2*g - b = 3*b - l, 2*b + 10 = -4*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -269806, -269805, -269804, -269803, -269802, -269801?\n\"Answer: v - 269807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 0. Let h(l) = 6*l - 2. Calculate the least common multiple of h(2) and w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 30*v**3 + 2*v**2 + 8*v - 10. Let h(q) = 30*q**3 + q**2 + 9*q - 12. Give 5*h(y) - 6*o(y).\nAnswer: -30*y**3 - 7*y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30642, -61282, -91922?\nAnswer: -122562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 11, -5, 0, 2 in increasing order.\nAnswer: -5, 0, 2, 11, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -5*o - 14. Let k(i) = -30*i + 9. Let q be k(-8). Let j = -123 + q. What is the highest common divisor of o and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1469, 1461, 1453, 1445, 1437, 1429?\n\"Answer: -8*f + 1477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 4*p - 8 = 0, 0 = -0*x - 2*x + 3*p + 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 73*y**2 + 5*y + 19. Let g be x(-8). Suppose -4*r - 1999 = -3*b, -5*b + 4*r - g = -12*b. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -25043, -5 in decreasing order.\nAnswer: -4, -5, -25043","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 167\/3 - 3\/(-9). Let y = -6 - -6. Suppose -3*n + 24 = -y. Calculate the highest common divisor of n and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58836 is divided by 1156.\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 90*h**2 - 6*h - 98*h**2 + 2 + 11. Let t be n(9). Let u be t\/(-3) + (-13)\/((-156)\/(-8)). Is u at most as big as -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-4) + (-55955)\/(-25916).\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -62*y**3 + 110*y**2 + 15*y - 21. Let a(f) = 28*f**3 - 55*f**2 - 7*f + 10. Calculate 11*a(w) + 5*i(w).\nAnswer: -2*w**3 - 55*w**2 - 2*w + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 3*g + 49 = 5*w, -2*w = -4*g - 106. Let f(p) = -p**3 + 12*p**2 + 18*p - 44. What is the remainder when w is divided by f(13)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 375952, 1503808, 3383568, 6015232, 9398800?\nAnswer: 13534272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7989008569?\nAnswer: 9001, 887569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbbbbbbbbbbbbdb. What is prob of sequence bb?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 179, -1\/3, 3070.09 in descending order.\nAnswer: 3070.09, 179, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/7 and -1\/8824490 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -761\/5, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10101 - 1012102?\nAnswer: -1022203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -35154834, -70309669, -105464504, -140619339, -175774174?\n\"Answer: -35154835*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003166449 rounded to six decimal places?\nAnswer: -0.000317","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rjlw when four letters picked without replacement from wnjlr?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 less than -3363?\nAnswer: -3375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2\/5, -3\/11, 1434 in descending order.\nAnswer: 1434, 1, -3\/11, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113618?\nAnswer: 2, 56809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 3455 divide 348391835?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -362.1796 - -0.1796. What is the biggest value in -1\/4, y, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46259 and 8587.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 149063?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18144 is divided by 378?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 3180177.749 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 87476348 by -21869087.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 5142 divide 4149067420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3626, 7226, 10826?\nAnswer: 14426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0862 + -0.4692. Round s to two dps.\nAnswer: -0.56","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 24885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (402 - 190*s - 402 + (1 + 0 + 1)*(1 + 2*s - 1) - s + 0*s + 3*s - s - 1 + 1 + 2 - s + 13*s - 2)*(1 - 4 + 2) in the form h*s + y and give h.\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (2 + (-6 - -3) + -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 746618.\nAnswer: 2, 241, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -52*t - 501. What are the prime factors of m(-51)?\nAnswer: 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-10) + 6\/15. Let d(z) = 127*z**2 - z + 1. Is d(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65426173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210.8729 nanometers to micrometers.\nAnswer: 0.2108729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.2, 0.1428 in increasing order.\nAnswer: 0.1428, 0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 0) + (-7 - 10) - (-85 - -92)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*g - 5142 = 2234, -2*a = -4*g - 7376. Suppose -21*o + 4754 = -a. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -2 (b) 10\/9 (c) 3 (d) 1\/162 (e) 0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 53 = -f, 0*f - f = 3*c - 47. Let u = f + -50. Suppose 9*y - 603 - 72 = u. Is 18 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 71?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 45662309 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3429)\/3261*1\/(-28). Let w = 2\/1087 - y. What is the second biggest value in -0.2, 1\/7, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -3791*r - 1656719. Give q(-437).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4914.1258 rounded to the nearest one hundred?\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 1666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 6*t + 10 = 0. Find the first derivative of -t + 13 - 7*n**2 - 9*n**2 - 2*n**3 wrt n.\nAnswer: -6*n**2 - 32*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 91546591 from -2266.\nAnswer: -91548857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2669*(-175)\/(-54950))\/(1\/2).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 95, 2, -163, -44, 2\/5, 5 in decreasing order.\nAnswer: 95, 5, 2, 2\/5, -1\/7, -44, -163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10202 + -2012?\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.41 - 67.64. Let z = r + 5.35. Let k = 62 + z. Round k to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 5, 58, -2, -18?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02557, -18, 0.5 in decreasing order.\nAnswer: 0.5, 0.02557, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 137896 - 89909. What are the prime factors of n?\nAnswer: 47, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5 - (-3)\/3 - 80\/(-4). Let x be s\/(-153) - 30\/(-135). Which is the closest to x? (a) 1\/4 (b) 0.4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -4361920 and -4361918 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -922.11 + 926. Let j = p + 0.11. What is the biggest value in 2\/5, -2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0552*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(-3) - (-1)\/3. Solve 4 - 6*q**2 + 0*q**4 + 2*q**3 - 4*q**3 + 2*q**4 + n*q = 0 for q.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -1, -1.2, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15\/12 + -1 + (-15)\/(-100). Which is greater: m or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - (3 - 4889*18). Round x to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 0 - (-2)\/(-2) - 39. Let h = 68 + j. Suppose -h*i = -19*i. Solve -4*s - 2*m - 6 = i, -3*m = 3*s + 8 + 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 35*y + 30. Let i be (-125)\/(-7) - 4\/(-28). List the prime factors of k(i).\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -86, -132, -260, -512, -930?\n\"Answer: -7*k**3 + k**2 - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19315 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*p = 1412 + 179. Solve -3*c + p = 5*s, -c + 5*s - 6 = 3*s for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rhp when three letters picked without replacement from {k: 2, j: 6, v: 1, h: 1, p: 1, r: 4}?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 7*v**2 + 483*v - 372. What is the remainder when 602 is divided by d(-70)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4248*q + 1032*q - 25017 + 56557 = -37100 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m - 43 = -13 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3131036 - 1676353. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-435)\/(-30)*(-1312)\/(-2844088)?\nAnswer: 2\/299","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*x = -31*x - 132. Suppose 2*h + x + 6 = 0. What is the tens digit of (-7)\/h*(0 + 622)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 17 = -w. Does 11 divide ((-4 - -568)\/w)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*x**5 - 65*x**3 - 2010*x**2 wrt x.\nAnswer: -240*x**2 - 390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22382524 a multiple of 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**2 + p**2 + p**2 + (-5 + 1 + 8)*(-5*p**2 + 3*p**2 + 0*p**2).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 143, 131, 109, 77?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-123046)\/1496*(-12)\/21.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n. Let a(o) = -2*o + 9. Let d be a(7). Let k(j) = -33*j + 1. Let v(r) = d*l(r) + k(r). Is v(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 176 - -262. Let v = -1 - -1. Suppose v = 5*u - 1463 + i. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5.4 (b) 3 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3125993*r**2 - 3125993*r**2 - 206*r**3.\nAnswer: -206*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5906 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 27 = -5*l, -4*l - 136 = -3*z - 109 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -10550962 times -0.3\nAnswer: 3165288.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/31004 and 39\/1937750.\nAnswer: 3875500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 10416 = 3*n, 21 - 51 = 5*n. Is v a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence olgp when four letters picked without replacement from roglogrogroprrrgpppr?\nAnswer: 8\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-25 - -23) + -1 + (-2 + 27 + -5 - 8)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 540961888?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of x**3\/3 + x**2\/2 - x - 1. Let k(m) = 5*m**3 - 3*m**2 - 2*m + 2. Let z(w) = 2*d(w) + k(w). Let o be 1 + 0\/(6\/(-2)). Give z(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - 2 + z + 0*z**2 + 3. Suppose 4*b - 3*t = 3, 29 = 5*t + 54. What is x(b)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/8 - (-66)\/(-8). Let c = 1 - 5. Find the common denominator of (-1 - 150\/c)\/y and 145\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50068002 * 0.4\nAnswer: -20027200.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 840 - 0?\nAnswer: 840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z - 5*l + 2, z + 3*l = 3*z - 2 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -146*z + 7. Let m(g) = -35*g + 2. Give -2*k(y) + 9*m(y).\nAnswer: -23*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0)**(-3\/8)\/(((s\/(s**0\/s))\/s)\/s)**42 assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 468541 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k. Let g(s) = 110*s**2 - 3. Calculate r(g(x)).\nAnswer: 220*x**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2*o + 2)*(0 + 0 - 1)*(3787 - 32*o - 3787 + (-3*o - 3 + 3)*(-25 + 57 - 25)) to the form u + x*o**2 + b*o and give x.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 44*g**2*p**3 - g**2*p - 76045*g**2 - 3*g*p**3 - 41*g*p - 9389*p**3 - 1 wrt p?\nAnswer: 264*g**2*p - 18*g*p - 56334*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/(396\/(-27))*(3240\/10)\/6\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**2 - 2*o - 3. Let t(j) be the third derivative of -j**5\/30 + j**4\/24 + j**3\/2 - 194*j**2. What is 4*t(k) + 3*y(k)?\nAnswer: -2*k**2 - 2*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 463197 and 1918959?\nAnswer: 13432713","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -218697.26 rounded to the nearest one hundred?\nAnswer: -218700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tauttutuagg. Give prob of picking 2 u, 1 t, and 1 a.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((7\/21)\/((-4)\/12))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -2*d - 1\/2*d**3 + 1\/2*d**2 + 0. What is u(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18290723 and 363.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 5*v + 63. Suppose -2*i - p - 26 = 0, 5*p - 11 = 3*i + 15. Let a be u(i). Solve 0 = 3*c - 4*t - 12, -5*t - 6 = 3*c - a*t for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -28*v**3 - v**2 + 21*v - 42. Determine a(2).\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -1, 5, -4, 2 in ascending order.\nAnswer: -6, -4, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 13. What is the highest common divisor of n and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/8 of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40 - -43. Let t be 1 - -4*15\/d. Solve -j - 5*w + t = -0*j, -5*j - 3*w = 5 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 112159 and 4661.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6396 = 48*d - 44*d. Suppose 0 = -5*y - 4*s + d, 5*y - 3*s = -8*s + 1600. What is the highest common divisor of y and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 6*c + 2*g = -46, 4*c = -2*g - 86. Let y(d) = -19*d. Let v be y(1). Which is smaller: c or v?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -3*a**3 - 4*a**2 - 14*a - 1. Let o(h) = 2*h**3 + h**2 - h + 1. Determine -o(j) - y(j).\nAnswer: j**3 + 3*j**2 + 15*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 8 = 0, c + 24 = -4*k + 92. What is the greatest common divisor of 872 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46484125 times -6?\nAnswer: 278904750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2 = -11. Suppose 3*f = -o - x + 7, -4 = f + 3*o. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 51\/4*g + 0 + 7\/2*g**4 - 13*g**3 - 7\/2*g**2 + 1\/4*g**5 = 0. What is g?\nAnswer: -17, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 - 9*b + 10. Let f be j(9). Calculate the highest common factor of 5 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/7 (b) -1 (c) -16\/273 (d) 1.4 (e) -0.06\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 greater than 0.103634274?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48 - -101. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.52609 rounded to one dp?\nAnswer: -8.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83 divided by -61918.\nAnswer: 1\/746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 19\/4 of a meter?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m + 2*m - 70 = 0. Let y(i) = -2*i - 14. Let v be y(m). Solve u**3 - 1\/2*u**4 + v*u**2 - u + 1\/2 = 0 for u.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -50, 12, 5, 2 in ascending order.\nAnswer: -50, 2, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/2*(4 - (3 - -71)). Let k = l + 40. Solve 1 - k = 2*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-1)\/(-2)*(-7)\/(-203)*-2?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**4 - 226*v**3 - 1108*v**2 - 654*v + 1989.\nAnswer: -(v - 1)*(v + 3)**2*(v + 221)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = 20*c - 49 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7730*y**3 + 502*y**2 + 99*y + 28222?\nAnswer: 46380*y + 1004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5996350845531 + -0.5?\nAnswer: -5996350845531.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -155\/2 in -1, -9, -1\/4, 0.1?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 492 + -491. Which is smaller: l or -1\/326?\nAnswer: -1\/326","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 23*u + 39. What is c(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49824 by 1.\nAnswer: 49824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10148344 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 (base 11) in base 8?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 6, 35, 4 in increasing order.\nAnswer: -16, 4, 6, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 plus -997.8?\nAnswer: -955.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*d**2*j**2*m - 104*d**2*j*m + d*j**2 + d*j + 358*j**2*m wrt d.\nAnswer: 6*j**2*m - 208*j*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 78738650261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1061 - -1054.83. Let f = z - -0.57. Let q = -6 - f. What is the closest to 2\/5 in 0, q, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 11 = -3. Suppose -2*s - 6 = -2*f + 2, u*f = -s + 11. What is the tens digit of (-58)\/4*(f + -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - -0.0315.\nAnswer: 0.5315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 5*g - 27. Let p be w(7). Sort 2\/5, 1, -0.3, p in decreasing order.\nAnswer: p, 1, 2\/5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u + 1. Calculate the remainder when h(-16) is divided by (-1)\/4 - 25\/(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-52)\/(-39)*(9\/(-5))\/3. Let b(a) = -a + 2. Let s be b(0). What is the third smallest value in r, s, 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/3, 1\/4, -10, -3, 0.4, 7\/58?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*m + 9*m - 7*m)*(5*m + m - 5*m)*(-4*m**3 + 2*m**3 + m**3).\nAnswer: -8*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22.8 - 23. Let u = k + -2.8. Put u, -4, 0.15, 0 in descending order.\nAnswer: 0.15, 0, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62533a (base 15) in base 16?\nAnswer: 475621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zyyz when four letters picked without replacement from {z: 2, y: 10}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -3*d + 2, -19 + 1 = -4*m - 5*d. Suppose -6 = 4*l - m*l. Find the common denominator of -41\/6 and (355\/(-20))\/(l\/(-4)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1217, -4852, -10901, -19358, -30217?\n\"Answer: s**3 - 1213*s**2 - 3*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4522*p**4 - 1328.\nAnswer: -18088*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-8))\/((-525)\/(-900)*(-324)\/616).\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 4*q**2 + 5*q + 2. Let s be l(-5). Let r be (8 - 0)\/(0 + s). Solve -3*b = -r*b - 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -26247, -26266, -26285, -26304?\n\"Answer: -19*d - 26228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 0*h + 26. Suppose -3*z - 15 = 3*s, 1 + 0 = s. Let n(q) = -q + 12. Let o be n(z). Solve -5*i = -3*f - o, -1 = -3*f + 3*i - h for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5.0192 and 37805.\nAnswer: 37810.0192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7867 + 6?\nAnswer: -7861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3\/5)*(w*w**2*w*w)\/w)\/((w\/w**(-4\/3))\/w**(-9))*(w*w**6)\/w*w\/(w**(-2\/3)*w)*w*w**6*w*w*w\/w**(-2\/9)*w assuming w is positive.\nAnswer: w**(448\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9\/((-4 - -13)\/45) and 63.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 0 + sqrt(175).\nAnswer: 2 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11.5508 + -0.1572. Let g = 1758.3 - 1770. Let m = v - g. What is m rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 4.36965 millennia?\nAnswer: 436.965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -63227.\nAnswer: -4\/63227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.46 - 0.26. Sort -1, t, -2\/7 in increasing order.\nAnswer: -1, -2\/7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 56*j. Let b(c) = -11*c**2 - 6944*c - 1. Give b(y(z)).\nAnswer: -34496*z**2 - 388864*z - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -1239*z**3 - 3*z**2 - 12*z - 11. Is h(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a**2 - a + 1. Let o be v(-3). Let f be (1 - o)*(2 + (-15)\/12). What is the smallest value in -1, 0.4, f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -69, 2, -1, 385, -3 in increasing order.\nAnswer: -69, -3, -1, 2, 385","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9843 + 2500125\/254. Which is greater: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 42 = -4*f - 9, -4*f = -3*q - 45. Suppose 0 = 3*a + 6. Let i = 2 - a. Calculate the lowest common multiple of i and f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -0*b + 32. Suppose -17*s + b*s + 3 = 0. Sort -1, s, 0 in decreasing order.\nAnswer: s, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2774 = 6*y - 958. What is the remainder when y is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l - 2*k - k + 16, 8*l = 5*k - 26 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -368, 0, 2 in increasing order.\nAnswer: -368, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48 - -111) + (-1 - 20) + (-24 - -29)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 94.34 + -95.34. What is the closest to o in 6\/107, -1, -2, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(5 + 0 + -13).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, k: 3, b: 1, m: 5}. What is prob of sequence bmm?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 611*b - 1813. What is j(3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*m - 66524*m**2 + 13 + 66537*m**2 + 10)*(-10*m - 6*m**2 + 10*m) + m**4 - m**4 + 2*m**4 to u*m + v*m**4 + z*m**2 + a + w*m**3 and give z.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l**2 - 2 - 4*l**4 + l**2 - 3*l**3 + 8*l**4 + 0*l**4 in the form b*l + i*l**2 + h*l**4 + d*l**3 + a and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 735 = -4*l, -460 = -4*z - 5*l + 520. Calculate the remainder when z is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f - 2. Let a be v(3). Let j = -5 - a. Solve j = b + b - 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112011111111022 (base 3) in base 11?\nAnswer: 4282501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 6*x**2 + 4*x - 5. Let u be p(1). Suppose 2*a + b - 1410 = -0*a, 3524 = u*a + 2*b. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*q = 35*q - 48 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*((-11250)\/(-875))\/(8\/42).\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 23. Let v(c) = 28*c - 2*c + 6 + k*c. Is 22 a factor of v(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2861.848 years?\nAnswer: 34342.176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine thirds of a day in minutes?\nAnswer: 13920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z + 12 - 7 - 22 - 20 + 53 - 4*z**2.\nAnswer: -4*z**2 - 3*z + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 3*j - 3528 = 0. Let t = j + -678. Let q = 2093\/4 - t. What is the common denominator of q and -97\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -0.3 (c) -379 (d) -342\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(756) + -4*(-2*sqrt(756) + sqrt(756)))\/(sqrt(480)\/(sqrt(20)\/sqrt(2)) + sqrt(48)).\nAnswer: 15*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5165673?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 - 15. Suppose 7*n = 8*n - r. Suppose -z - 4*u = 66, -2*u + 0*u = -n*z - 122. What is z rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/4*6*((-1503)\/135 + 11). What is the fourth biggest value in 0.1, 0.4, 3, f, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.048227836699 + -1.\nAnswer: -1.048227836699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 1. Let i = 16675 + -16645. Calculate the remainder when i is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11220201021211212 - 12?\nAnswer: -11220201021212001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -255 (b) 0.4 (c) -1\/3 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 5*h**3 + 6*h**2 - 6. Let u(d) = 5*d**3 + 5*d**2 - 5. Determine -5*n(v) + 6*u(v).\nAnswer: 5*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/87 and -61\/18?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -129 + 33 + (42 - (-28 - -88))\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*z - 2 = -17*z. Suppose 0 = z*c - 4*c + 250. Suppose -b + c = 4*b. Calculate the remainder when 49 is divided by b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 3*s + 1. Let n be t(4). Let v be 5\/n*(-9)\/3. Solve 0 = -p + v - 3, 0 = -2*h - 4*p + 2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/28 - (-57)\/21. Let f = 22 + -5. Solve 3*q - w*x + 18 = 0, 3*x = q + q + f for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 254? (a) 0 (b) -31 (c) -5 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*w = -527 - 67. Let l be (-3)\/w - (-134)\/22. Let o = 2 - 0. Sort l, o, 0, 1.\nAnswer: 0, 1, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42 or 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + 9*g - 4. Let l be z(8). Solve -l*v + 3 - 7 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 219 and 381.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 + 4*o + 1. Let b = -78 + 331. Let y = -249 + b. What is x(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, i: 2, e: 1}. What is prob of sequence rrie?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 3:34 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -41428411.9 rounded to the nearest 10000?\nAnswer: -41430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 71*v**2 + 2 - 40*v**2 + 88*v**2 + 1 in the form c*v + o + i*v**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -11 * 566\nAnswer: -6226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 3*z = -2*h, h = 4*z - 17. Let a(t) = -t**h + 6 + 10*t**2 + t - 3*t**2 + t - 6*t. Determine a(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 52*w - 221. What is a(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -1\/3*r**4 + 0*r**3 - 50\/21*r**7 - 11\/5*r**5 + 0*r**2 + 0 - 14\/3*r**6 - 147*r. Factor f(u).\nAnswer: -4*u**2*(u + 1)*(5*u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-3) - (32\/12)\/4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + 5*p**2 - p**2. Let d(z) be the third derivative of z**8\/20160 - z**5\/10 - 5*z**2. Let v(n) be the third derivative of d(n). Give v(i(b)).\nAnswer: 25*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 + 24*a**3 - 82*a**3 + 24*a**3 - 39*a**2 + 31*a**3.\nAnswer: -3*a**2*(a + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1316 - 773. List the prime factors of f.\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.67309 to two dps.\nAnswer: -3.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3c - 8?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 925\/13 + -71. Suppose 0 = -3*t - t + 20. Let p be 2\/(-8)*4\/t. What is the closest to -1 in 0, d, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3102 + -1?\nAnswer: -3103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 4*q**5 + 184*q**4 + 696*q**3 + 1024*q**2 + 676*q + 168 = 0?\nAnswer: -42, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 5*y + 5. Let z be k(-2). Let l = 1.5 - 0.5. Let c(w) = -w**3 + w + 2. Let o be c(0). What is the third biggest value in o, l, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 1\/8, -1.4, 3 in increasing order.\nAnswer: -5, -1.4, 1\/8, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 205 + -186. List the prime factors of y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11 + 14 - 22 + 9*k**2 + (-1 - 3*k + 1)*(6*k - 5*k + 12*k).\nAnswer: -30*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (2 + (-642)\/(-120))\/((-60)\/(-50)) + (-7)\/(-56)\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 14*v**2 + 13*v - 1. Determine s(-13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -10813*t - 43205. What is x(-4)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -9. Let f = -4.419 - -4.77. Let z = f + -15.351. Put z, 0.1, x, -4 in decreasing order.\nAnswer: 0.1, -4, x, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4836161 to the power of 1\/3, to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -30*b + 16. Let s be f(-4). Calculate the greatest common divisor of 16 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68923138.\nAnswer: 2, 34461569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/36 + (-14)\/(-12). Suppose 4*m = 2*m. Which is greater: q or m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hheeeeeeeee. Give prob of picking 2 h.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -5*f**2\/2 - 1. Let i(p) = 3*p. Give n(i(g)).\nAnswer: -15*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p - 12. Let r be z(4). Suppose r = -4*n + 4*f + 1 + 75, 3*n + 3*f = 63. Calculate the common denominator of -68\/3 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 820015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - (4 - (-14 + 35) - -107 - -17).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 5, 0.4, -2\/7, 0.1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81.96051 millennia to years.\nAnswer: 81960.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-39)\/(-2))\/(-13))\/((-6)\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**2 + 34. Let s(j) = 5*j**2 - 26*j**2 + 6*j**2 + 18*j**2 - j**2. What is s(v(l))?\nAnswer: 8*l**4 - 272*l**2 + 2312","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -13886 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*a**3 + 427*a**3 - 125*a**3.\nAnswer: 374*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 180 and 990?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -1 + 5 + (-8 - (-15 + 6))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2119*w**4 - 13?\nAnswer: -8476*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-1218)\/(-435))\/((-2)\/5)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (6 - -11) + -15.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 22 = -3*q - 0*p, 0 = 2*q + 5*p - 18. Factor -11 - q*n + 7 + 2*n**2 + 2*n.\nAnswer: 2*(n - 2)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 12*o**2 + 43*o + 27. Let w be z(15). What is the fourth biggest value in w, -0.5, -18, 48?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 3 + 12. Suppose -3 + h = 3*d. Suppose 5*f - 13 = -3*q - 0, 4*f + d = 0. 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: What is 79314386 to the power of 1\/5, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23367?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 3*j = 24, 5*h + 12 = -133*j + 134*j for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 4*w**3 + 30*w**2 - 30*w - 100. Give g(-7).\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1252 - 1277. Let r = 191 + -16. Let n = r + g. What are the prime factors of n?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1809 + 852 - 15*p + 850)*(-6 + 2 + 2).\nAnswer: 30*p + 214","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 29a392 (base 12) in base 3?\nAnswer: 1022200010002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1337*b**2*l**3 + 770*b**2*l**2 - b**2 wrt l?\nAnswer: 8022*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1025 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wl when two letters picked without replacement from lwwlwwlwwwwlww?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -3*s + 1171, 0 = 5*a - s - 0*s - 1440. Let u = a - 169. Is 30 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by 524529\nAnswer: 16\/524529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 4:50 PM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 - 6 = -11*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -387, -316, -245, -174, -103, -32?\n\"Answer: 71*a - 458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 12:44 AM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m - 2*j - 33, -10*m + 6*m + 5*j = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 53? (a) -1 (b) 2 (c) 18 (d) 3 (e) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 812862 is divided by 208.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*j**3*l*p**2 + 3*j**3*l - 9*j**3*p**2 - 2*j**3 + 50*j**2*l*p + 4*p**2 + p wrt p.\nAnswer: 6*j**3*l - 18*j**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2549850 = 5*k - 10*k. Let f = k + -97470. Let j be (32\/3)\/(1\/f). What is j rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5627, -22464, -50511, -89756, -140187?\nAnswer: -201792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -43880 divided by 4?\nAnswer: -10970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 44 + 1 + (-3 - -3). What is the greatest common factor of g and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1222*w**2 - 65 + 1632*w**2 - 352*w**2.\nAnswer: 2502*w**2 - 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 692, 1386, 2086, 2792, 3504, 4222?\n\"Answer: 3*l**2 + 685*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-23)\/(207\/54) - (-5 + -2) and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ibihhthipww. What is prob of picking 1 t and 2 i?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14*c**2 - 3*c**3 + 6 - 14*c**2 wrt c?\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 7) to base 3\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4474028715 to the nearest integer?\nAnswer: 1648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115150?\nAnswer: 2, 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1699.1+12\nAnswer: -1687.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-9) + 0 + 0. Let i(c) be the first derivative of -c**4\/4 + 17*c**3\/3 - 8*c**2 - c + 42. Let p be i(16). Is p greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153)*1 + sqrt(153) - sqrt(153))*-4 + (-5*3*sqrt(153) + sqrt(153) - sqrt(153)))\/(-1*(-1*sqrt(729) - sqrt(729))*2).\nAnswer: -19*sqrt(17)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(-7)*24\/288*-42. Solve -d = -3*g + 16, -5*d + k*g - 20 = g for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**3 - z**2 + z + 2. Let g(l) = 7*l**3 - 5*l**2 - 2*l + 10. What is -g(x) + 4*r(x)?\nAnswer: x**3 + x**2 + 6*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 2*z = -5790. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -171052740, -171052744, -171052748, -171052752, -171052756?\n\"Answer: -4*v - 171052736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 56182735 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17803 is divided by 316.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102263928 is divided by 2654?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 298*a**2. Let t(m) = -10*m**2 - 2*m + 10. Let b(u) = 53*u**2 + 11*u - 55. Let d(q) = -2*b(q) - 11*t(q). Give d(v(l)).\nAnswer: 355216*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2721, 5219, 7707, 10179, 12629, 15051, 17439, 19787?\n\"Answer: -j**3 + j**2 + 2502*j + 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8811? (a) -2\/5 (b) 9\/11 (c) 43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3798.43632 minutes in weeks?\nAnswer: 0.376829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*g + 20 = 0. Let s(c) = -5*c - 3. Let q be s(-5). Let u = q - 15. Solve -u*b + 2*b = g for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 61, 65, 71, 79, 89, 101, 115?\n\"Answer: a**2 + a + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2503 = 4*m - 2*a + 2427, -67 + 7 = 4*m + 2*a for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (108 + 1198726\/(-11100))\/(8\/(-32)).\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 0*o - o)*(o**3 + 5*o**3 - o**3) - 3*o**3 - 2*o**4 + 3*o**3 + (-2*o**4 - 2 + 2)*(0 + 0 - 2).\nAnswer: -8*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 0. Let g(j) = -j**3 + 14*j**2 + 16*j - 12. Let m be g(15). Let a be m - (-44)\/(-8) - -4. Which is bigger: n or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -2*h + 35, -2*h - 7 = 23232*k - 23231*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 - 3*x. Let z be o(4). What is the first derivative of -z*p + 0*p - 5*p - 1 + 8 wrt p?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/7)\/(30\/70). Suppose -4*w - y + 9 = -2*w, -x*w + 5*y + 15 = 0. Solve h = -w*z - 25, h + 3*z = -4 - 11 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 16 = 0, -3*j + 7*x = 9*x - 142. Does 4 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 5*n, s - 1 - 3 = -n. Let f be (s\/4)\/((-3)\/(-30)). Let w = -4 + f. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 17. Suppose t*k - 6811 = -1471. What is k rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 + 0)*((-1 + 1 + y)*(-1 + 2 - 2) + 2*y + 0*y - 4*y).\nAnswer: -15*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.988 + 0.012. Let z = -6.2 - -1.2. Which is the second biggest value? (a) h (b) z (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/12 - (540\/(-1200))\/((-3)\/5).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 730, 4268, 12606, 27742, 51674?\nAnswer: 86400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -73 + 63. Let n be (-15337)\/35343 + (-4)\/i*1. Let g = 2\/1485 - n. Which is smaller: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g - 10*s + 45 = -g - 33*s - 30, 5*s - 24 = 5*g + 3*s for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(-11 - 508\/(-46)). Let t = -187 + 118. Is t\/k - (-633)\/5 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 853605 + -386486. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -4 - (8 + -3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15695, -31188, -57011, -93164, -139647, -196460?\nAnswer: -263603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1766 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 129949346 to the power of 1\/2, to the nearest integer?\nAnswer: 11400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 303 divided by 303\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-21 - 1*-1)*(-33635)\/620. Calculate the greatest common factor of b and 245.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**2)**(5\/2)\/(h*(h\/h**(-3))\/h)**(-4\/9))**(-9\/5) assuming h is positive.\nAnswer: h**(-61\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49410165.\nAnswer: 3, 5, 7, 19, 24767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1477209031 to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 1 + 4\/9*g**2 - 4\/3*g = 0. Calculate g.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u + 7. Let q(f) = -5*f - 40. Let c be q(-9). Let i(v) = -v. Let o(n) = -n + 1. Let h(s) = 2*i(s) - o(s). Determine c*h(j) + x(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*z**5 - 4854*z**4 + 17184*z**3 + 21054*z**2 - 35355*z + 1800 = 0 for z.\nAnswer: -5\/3, 1\/19, 1, 5, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of -4*r**4\/3 + 20*r**2 - 2*r. Let x(u) = 4*u. Determine d(x(z)).\nAnswer: -128*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.19371 - 35\nAnswer: -34.80629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6848 - -6855) + (-1 + 0 - 18) - 30?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.034 - -16.966. Let s = -0.0695 - 43.8305. Let y = s + 44. What is the biggest value in 1, u, -0.2, y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 106*t - 226. Let m be s(2). Does m = -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2\/11, -137, 3\/7, 0, -0.1 in ascending order.\nAnswer: -137, -0.1, 0, 2\/11, 3\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -73 and -40.9?\nAnswer: 32.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-166128)\/72681)\/((-204)\/7)?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) 5 (c) -65 (d) 13 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - 12.1. Let q = -14.6 - p. Let s = 2.4 + -2.45. What is the third biggest value in s, q, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 52 = -2*s - 0*v, -v + 130 = 5*s. Calculate the lowest common multiple of (0 + 1 - 21)\/(-2) and s.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -2*c**3\/3 - c**2\/2 - 2*c. Calculate m(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345.8666 rounded to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25)\/(-4))\/(((-10320)\/32)\/43*(-3)\/216).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -94036.3 and -41?\nAnswer: 93995.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63098?\nAnswer: 2, 7, 4507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**2 - 5*n + 5*n. Let h = 4 - -12. Let v(i) = -2*i**2 + 16*i - h*i. What is v(l(t))?\nAnswer: -8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 6*d**2 - 3*d - 6. Let g(k) = -k**3 - 27*k**2 - 25*k + 1. Let c be g(-26). Let t(v) = 24*v + 6. Let x be t(1). Let b = c + x. Determine m(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33207 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (34\/(-4))\/((-1)\/(-2)). Calculate the remainder when 46 is divided by 4\/((-4)\/f) - (-3 - -3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3037 (b) 2 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00809753 rounded to five dps?\nAnswer: 0.0081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 17, j: 1}. What is prob of sequence kj?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 10. Let h = x - 9. Let s = 0.03 + 1.97. What is the nearest to -0.1 in s, -5\/4, h?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 116*((-5)\/(-20))\/1. Let q = u + -25. Solve -q*w - 1 = 7 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of 17*b**4\/3 + b**3\/6 + 4*b**2. Suppose 6*r = -542 + 710. What is the remainder when m(1) is divided by r?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 7*i**2 + 2*i + 23. Let m(f) = 2*f**2 - f + 6. Let u(x) = g(x) - 4*m(x). Calculate u(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**2 + 94*x + 205. What is r(-47)?\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/67, -3\/4, -5, -549?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 7 + (-4 - 1) + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -21*h**3 - 13*h**2 - h - 1. Let z(a) = -5*a**3 - 3*a**2. Let x(r) = -2*o(r) + 9*z(r). Let j be (-12)\/7 - (-4)\/(-14). Does 9 divide x(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11 - 418.\nAnswer: -407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -958 + 994 = 2*j for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 3:47 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 7 - 25 = 0. Solve r*m = -q - 13, 3*m - 20 = 8*m for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -4*n. Let z(j) = 200*j + 2. Determine q(z(i)).\nAnswer: -800*i - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1453.\nAnswer: 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**5 - 13216*n**4 - 20679674*n**3 + 3861385252*n**2 + 7784756672*n + 3902704960 = 0.\nAnswer: -3388, -1, 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (70\/(-8))\/7 + 1. Let j = -18 - -16. Which is the smallest value? (a) p (b) j (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/15? (a) 1 (b) 636 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4*z + 13 = 0, -z + 46 = 2*s + 2*z. Suppose -3*p + s = -40. Suppose -184 = -n - 0*n. What is the greatest common factor of n and p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(3\/4))**(-23) assuming x is positive.\nAnswer: x**(-23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31175 + 31206. Let v be -1 - 1 - (3 - -1). Let s be 2 + -1 + v\/8. Which is the third smallest value? (a) -1\/2 (b) s (c) -0.3 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -326800160 divided by 8980?\nAnswer: -36392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1227907 to the nearest one thousand.\nAnswer: 1228000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -i**3\/3 + 3*i**2\/2 + 2*i + 2. Let y be c(3). Which is smaller: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((192\/(-18))\/(-16))\/((-6)\/99)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 161 - 160. Let y = 87 - 86.5. What is the smallest value in y, 64, w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -k**5\/5 + 922*k**4\/5 + 3698*k**3\/5 + 5552*k**2\/5 + 3703*k\/5 + 926\/5 = 0.\nAnswer: -1, 926","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, a: 1, b: 2}. Give prob of sequence rb.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5*(12\/(-198))\/((-105)\/77). Which is the closest to 1.6? (a) -0.3 (b) 1\/3 (c) n (d) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z + 0*z - 6*z - z - 2 + 2 + (2 - 2 - 2*z)*(-4 - 2 + 5) + 7*z - 4*z - 2*z - 4978*z - 1820*z - 2070*z + 2 - 3 + 1 in the form u + m*z and give m.\nAnswer: -8869","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -250355 (base 7) to base 12\nAnswer: -22612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -4, 15, -6 in ascending order.\nAnswer: -6, -4, 0, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -308 bigger than -0.028?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 9*i + 9. Calculate p(-8).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*j + 1871 - 45*j - 1894.\nAnswer: 3*j - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 5*t - 46. Let k be i(7). Let n(p) = -p**3 - 11*p**2 - 6*p - 27. What is the units digit of n(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.032, 5, -1\/2?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/212544 and 123\/250.\nAnswer: 26568000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2348*v**3 + 969*v**3 + 47666*v**3.\nAnswer: 46287*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 4:38 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2 + 10662*m - 31995.\nAnswer: (m - 3)*(m + 10665)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 242, 189, 134, 77, 18, -43?\n\"Answer: -i**2 - 50*i + 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105232705?\nAnswer: 5, 23, 915067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -5*u - 1. Let c be (-61)\/(-9) + (-4)\/(-18). Let q(i) = i**2 - 45*i - 134. Let y be q(-3). Let x be (y\/315*c)\/(1\/9). What is f(x)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 12.1, -1.1, -0.3 in decreasing order.\nAnswer: 12.1, -0.3, -1.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.3 - 0.3. Let s = 41.1 + 2.6. Let j = -44 + s. Which is the third smallest value? (a) 2\/3 (b) q (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28269 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-6)*10 - 1. List the prime factors of 2\/(-4) + j + (-270)\/(-4).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30834856 divided by -296489\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -l - 5, 54*u - 50*u - 4*l + 4 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10*c**2*d + c**2 - 269*c*d**3 + 2*c + 156 wrt d?\nAnswer: -10*c**2 - 807*c*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -79*o**2 + 38*o - 1228.\nAnswer: -158*o + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in years?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -361*o**5\/6 - 307249*o**4\/3 + 6421549*o**3\/2 + 2038070*o**2\/3 + 107446*o\/3 = 0. Calculate o.\nAnswer: -1733, -2\/19, 0, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2329 - -2295.09. Let g = -34 - p. What is the smallest value in 0.3, -2\/7, g?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 269.74425 months in decades?\nAnswer: 2.24786875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 - 13. Solve -2*c + 1 = -x for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 6*x + 4. Let s be 4 - x\/1*-5. Let n be (5*(1 + -2))\/s. Sort -5, n, -10 in ascending order.\nAnswer: -10, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -54055 - 3?\nAnswer: -54058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 p when three letters picked without replacement from ccpcpppcccpccpppcppp.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2 = 2*b, -2*b = 3*y - 8*y + 23. Suppose -y*g + g = -4*a + 52, 3*a + 2*g = 39. What is the remainder when a is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6262, 12542, 18820, 25096, 31370?\nAnswer: 37642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 76792686 divided by 111?\nAnswer: 691826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -1\/2*w**2 + 3*w - 1\/2*w**4 + 5 - 5\/3*w**3. What are the prime factors of a(-3)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (64\/(-48))\/((-2)\/9)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -380541, -380538, -380523, -380490, -380433, -380346, -380223?\n\"Answer: a**3 - 4*a - 380538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 273, 540, 795, 1038, 1269?\nAnswer: 1488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4317 take away -0.3?\nAnswer: -4316.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90 and 198.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -164*(-7)\/126 - (4 + 4).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 421249 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, a: 2, i: 2, l: 2, j: 1, v: 6}. What is prob of picking 1 v, 1 n, and 1 l?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -313 + 318. Suppose -m = -2*k + 58 + 11, 0 = 2*k - v*m - 49. What is the greatest common factor of 851 and k?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3344 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**0*o)\/o)**(-1\/17)\/((o*o\/(o*o\/(o**(-2\/15)*o*o)*o)*o)\/o**0) assuming o is positive.\nAnswer: o**(-491\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(6\/1 - 5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26772 is divided by 8924?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z = -191 - 409. Calculate the remainder when z is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-240)\/(-180)*-2*276\/32\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/45220 and 47\/170.\nAnswer: 45220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 16. Let g = 1 + -0.9. What is the biggest value in g, t, -3\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0886 rounded to two dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 2, k: 6, w: 3, f: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 4*w + 35 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36 + 26. Let h be (-42)\/(-35)*n\/(-4). Let s(r) = 2*r**2 - 2*r - 2. Is 10 a factor of s(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7724\/11 - -702. Which is the nearest to 141? (a) 0 (b) -4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*a**3\/15 - 22*a**2\/15 - 2*a\/5.\nAnswer: 2*a*(a - 3)*(4*a + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**(6\/5)*r*r*r\/(r\/(((r\/(r*r\/(r\/r**(-19\/4)*r)*r))\/r)\/r)*r*r))**(-48))**2 assuming r is positive.\nAnswer: r**(-2856\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(4235) - (sqrt(4235) + (sqrt(4235) - -2*-2*sqrt(4235)) - sqrt(4235)))\/(6*(sqrt(7) - -2*sqrt(7))*-5).\nAnswer: -2 - 22*sqrt(5)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 5*h + 5 = 0, -2*h + 11 = -6*s - 19 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -12 - (50 - (-25 + 102))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 141540 by -140.\nAnswer: -1011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -53.31 + 53. Let v = 0.01 + h. What is the second smallest value in -2, v, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 51.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**11*s\/s**(2\/9))\/(s**(-3\/7)\/(s\/(s\/(s\/s**(-5)))*s)) assuming s is positive.\nAnswer: s**(1210\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 16*y**2 - 5*y + 113. Let i be c(16). Solve -i*s + 28*s + 25 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -5*f + 65. Let s be n(12). Let t(p) = 6*p**2 + 1 + 8 - p**3 - 2 - 2 - 4*p. What is t(s)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 100*q**2*z**2 + 25539*q**2*z - 5*q**2 + 121*q*z**2 - 3*q*z wrt z.\nAnswer: 200*q**2 + 242*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 8. Suppose m = 2*m - 6. Let r be m\/(-14) + (-217)\/(-49). Solve -5*z + q*t + 12 = -1, -r*t + 19 = 5*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-6))\/((-16)\/96). Let m(a) be the second derivative of -a**3\/2 - a**2 + a. Give m(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 7*l**3 - 5*l**2 - 3*l + 9. Let o be r(-3). Which is bigger: o or -215?\nAnswer: -215","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 2*i - 6. Solve -i*b + 6 = 18 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87976*w - 87976*w + 263931*w + 11*w**2 - 87979*w.\nAnswer: 11*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 2288129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*n + 4 = 9*n - 27*n, 4*l - 95*n + 83 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6565700*b - 3*b**3 - 13131443*b + 6565740*b.\nAnswer: -3*b**3 - 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 12:37 PM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 4*m**2 + 2*m - 3. Let s be k(-5). What are the prime factors of 47\/5 - s\/30?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51624 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 20 + 2 = -v, 14 = y + 2*v. Solve y + 183 = 41*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 14*j - 1. Let o be u(8). Suppose -114 = -5*a + o. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 8*u**2 + 186*u + 839. Give d(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15965 is divided by 7963.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 632, 2309, 5076, 8969, 14024?\nAnswer: 20277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 337008831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143125 is divided by 4346.\nAnswer: 4053","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*n + 45*n = 3*z - 26, 0 = 4*z - 8. Suppose 4*r - 90 = -4*h - r, 4*h = 4*r + 72. What is the smallest common multiple of n and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.2 and 120?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7748 is divided by 458?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*u + 27*u + 0*u = 21 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -791, -1625, -2493, -3395, -4331, -5301?\nAnswer: -6305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t + 5*m, 3*t = 3*m + 450 - 468 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-45132)\/(-66))\/(-1) + (-4)\/22. Let x = 98 - 197. What is the units digit of g\/(-11) - (-18)\/x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -6*n + 7. Let v be w(6). Let j be 2*1\/2*2. Let x = j - v. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - (-1 + 4 + 0). Let a(r) = r**2 + 2*r + 3. Let w be a(j). Suppose w*t + 1 = 2*n + 3*n, 3*t = 4*n + 1. Solve -5 = -i + n*k, -8*k - 20 = -4*k for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 10280.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -11, -18, -49, -116, -231, -406?\n\"Answer: -2*n**3 + 7*n - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -62.522486555 - 0.53?\nAnswer: -63.052486555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 7:20 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + b = 217076, 5*t + 14398 = 4*b + 285743. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17\/4 >= 2596920?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 27 = -x, 90 = 5*o + x + 18. Let h(d) = d**3 + 5*d**2 + 3*d - 3. Let u be h(-3). Let p = o + u. What are the prime factors of p?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7\/((-805)\/207))\/(16\/(8960\/21))\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 741799050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + 6. Let u(n) = n**3 - 11*n**2 + 12. Let l be u(a). Let h = -8 + 11. Calculate the greatest common divisor of h and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -24, -34, -48, -66, -88, -114?\n\"Answer: -2*k**2 - 4*k - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 5*h. Let d be p(1). Let x = -1.4 + 0.4. What is the nearest to x in 1\/3, -0.2, d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -65856*m**4 - 604464*m**3 - 612045*m**2 + 70821*m - 1944 = 0?\nAnswer: -8, -9\/7, 3\/56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -5*n**3\/3 - 9*n**2\/2 - 567*n - 484. Find the first derivative of c(x) wrt x.\nAnswer: -10*x - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 645667?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*a - 3*a + 39 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 91, 490, 1157, 2098, 3319, 4826, 6625, 8722?\n\"Answer: w**3 + 128*w**2 + 8*w - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6724*j + 744*j**2 + 6722*j + 267*j**2)*(-3*j - 1 + 3 - 4) in the form o*j**3 + r*j**2 + v + s*j and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2090 and 68134.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 25*m + 42. Let b be w(-22). Let q = 96 - b. List the prime factors of 2286\/q*8\/(-6).\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 14*t**2 + 50*t - 2 - 1234*t**2 - 46*t.\nAnswer: -1220*t**2 + 4*t - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (304 - 550 + 329)*(3*a - 2*a + 3*a + (-2*a + 3*a - 2*a)*(-1 + 1 + 2) + a - a - a) to x*a + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1499190358.\nAnswer: 2, 749595179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -837 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 108040, 108311, 108690, 109231, 109988, 111015, 112366?\nAnswer: 114095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, r: 12}. What is prob of sequence ra?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g**3 - 3 - g**3 - 2 + g**4 + 4 to the form v + a*g**2 + r*g**4 + j*g + i*g**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 446, -6, -1, 26, 3 in decreasing order.\nAnswer: 446, 26, 5, 3, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 30\/(-8) + (-6)\/(-8). Let c(n) = n + 3. Let s be c(k). Suppose -4*z + 252 - 68 = s. What is the highest common divisor of z and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 6*j = 42, 701*v - 698*v + j + 33 = 0 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -15aa243 - -4?\nAnswer: -15aa23c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 8 - 10 = 0. Suppose -4*a + 105 = -j*a. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11494.\nAnswer: 2, 7, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b**3 + 5*b**3 + b**3 + (-3*b**2 + 4*b**2 + b**2)*(b - 2*b + 2*b) - b**3 - 5*b**3 - 6*b**3.\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -69 (b) -50 (c) -3.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 21 = -4*c, c - 5*c + 19 = 3*v. Differentiate -2 - c + 4*q**4 + 9 with respect to q.\nAnswer: 16*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2. Let v(n) be the first derivative of 13 + 1 - 81 - 22*n**2. What is r(v(z))?\nAnswer: 1936*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 3*l + 16 - 7 = 0, -5*v = -5*l + 25 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*41\/(861\/21)*2\/58?\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i + 2*i - 4*i + (-4 + 1 + 1)*(-1 + 1 + i)*(3 + 0 - 2).\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 - -8 - (1 + 0). Sort 2, v, 11.\nAnswer: 2, v, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -27, -75, -127, -183?\n\"Answer: -2*s**2 - 42*s + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v + 20*v = 20. Solve v*k = 5*k + 5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.2 * 9\nAnswer: 37.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16056*n**5 - 15342*n.\nAnswer: 321120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2351 is divided by 974.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 84326 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 2040?\nAnswer: 2032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4532254 to the power of 1\/3, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 9*k**2 - k. Let q be m(-9). Find the second derivative of -13*l**4 - 11*l + 5*l + q*l**4 wrt l.\nAnswer: -48*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 565 - -2116075?\nAnswer: 2116662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53.59 - 107759.691793.\nAnswer: -107706.101793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -578 + 865. Suppose 2*b - 1524 + g = 3*p, -3*b + 1836 = 2*p. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 j when two letters picked without replacement from xxzjt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*u**2 + u**2 - u**2)*(3*u - 7*u + 2*u) + (u - 4 + 4)*(0*u - 6*u**2 + 0*u) + 0*u**3 - 9*u**3 - u**3 to l + k*u**2 + w*u + h*u**3 and give h.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/5, -2\/13, -0.4, -1.11?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3900?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 607 - 612. What is the closest to -0.1 in d, -2\/5, -50?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63184445?\nAnswer: 5, 2767, 4567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -273843 or -272727?\nAnswer: -273843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010110011010101 (base 2) in base 5?\nAnswer: -4431023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/9 and -8\/57809.\nAnswer: 520281","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, d: 2, r: 2, e: 2, b: 6}. What is prob of sequence rf?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 11*d**2 - 2*d - 18. Let i be f(-11). Find the third derivative of 8*p**6 - 6 - i*p**6 + 3*p**2 + 2 + 27*p**6 wrt p.\nAnswer: 3720*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + -9. Let c = g + 21. Suppose -c*a = -3*h - 12, a + 2*h - 11 = h. What is the remainder when 24 is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -186 - -186. Let a(z) be the second derivative of 0 + 1\/4*z**4 + w*z**2 - 7\/6*z**3 + z. What is the second derivative of a(q) wrt q?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*f + 8 = 85*f + 8*t, 2*f = t + 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1426252 + -589116. Let o = p - 380610. Suppose -126526 = -c - o. Round c to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6788521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2 - 4878*g + 132435.\nAnswer: -(g - 27)*(g + 4905)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -168*j - 50*j + 105*j - 149*j to the form s*j + n and give s.\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 89*t = 84*t - 24, 0 = -24*t - 120 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2587 times 0.4?\nAnswer: 1034.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3024 = 42*p - 14*p. Calculate the least common multiple of p and 21.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7669 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00012037741 rounded to 6 dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 12:18 AM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 7*q = 310. Suppose 0 = -2*y - 8, -2*y + 3*y = -r + q. Is r*((-110)\/(-4))\/5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 3)*(t - 2*t + 0*t) + 0 + 0 - 2*t - 13960*t + 1419 + 2525*t - 1419.\nAnswer: -11439*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 0*h - 2*h + 0*h + 6*h**3 + 3*h. Let x(w) = -w**3 + 13*w**2 - 22*w + 1. Let z be x(11). Determine g(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**3 - 354*k**2 + 9939*k. Determine p(35).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/12*(-3928)\/(-64321)?\nAnswer: -2\/131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 44*c**2 + 5*c - 29. What are the prime factors of p(15)?\nAnswer: 6571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/3)\/b)\/(b\/(b*b**(2\/23))))\/(b**29)**(-41) assuming b is positive.\nAnswer: b**(81932\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {c: 1, w: 18, m: 1}.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-20))\/((-45)\/10).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/2*2*(-3)\/3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26748160591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of 139*t**5\/15 - 177*t**2. Let l(d) = -d. Give l(c(m)).\nAnswer: -556*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11271 - -11271. Which is the nearest to -4.3? (a) 0.4 (b) j (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38 - -41. Let f be (7 - s)*1 - 2. Let z(n) = -4 - n**3 - n - 2*n + n**2 + 6 + 2*n**2. What is z(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1782 + 5790. What is the thousands digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4878 - -4882. Let g = 0 + -3. Which is the second biggest value? (a) -1\/2 (b) h (c) 2\/11 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 309456 divided by -3684\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*y + 12*y + 27*y.\nAnswer: -20*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -2 - -37) + -803 + 767.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t + 5. Let w = -39 + 58. Suppose -w*x + 32*x = -65. Calculate u(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37591642 to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1043 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9\/5*c**3 - 3\/5*c**5 - 3\/5*c**2 + 0 - 6\/5*c + 3\/5*c**4 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 747*f = -576*f + 1623*f + 20700 for f.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33892 and 740?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**4\/11 - 1468*o**3\/11 + 358680*o**2\/11 - 2641100*o - 29412250\/11 = 0 for o.\nAnswer: -1, 245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -4380508?\nAnswer: 8761016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 7*t**2 + 7*t - 8. Let c be b(-6). Let f = 52 - c. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, l: 1, d: 2, o: 1}. Give prob of picking 1 o and 2 d.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11228, 10251, 8582, 6221, 3168?\n\"Answer: -346*k**2 + 61*k + 11513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 2 (b) 6 (c) 0.5 (d) -41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 y when four letters picked without replacement from hyhhyyyyyy?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 21*i + 2*i)*(-2*i**2 + i**2 + 2*i**2)*(0 + 1 - 2).\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmakkmamakkkm. Give prob of sequence am.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 94653762 and 27020?\nAnswer: 2702","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 323919 = -3*o, -283*d + 161963 = -280*d - 5*o. What is the ten thousands digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**4\/9 - 40*y**3\/3 + 1184*y**2\/9 + 7072*y\/3 - 46240\/9 = 0. Calculate y.\nAnswer: -10, 2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 203041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 1. Let z = 7580 + -7578. Let k(b) = -3*b - 10. Calculate z*j(n) + k(n).\nAnswer: -3*n - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**3 - 235*p**2 + 125*p - 30. Calculate x(-118).\nAnswer: -856","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12879?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 52 - -4?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -496\/3, -10, -1 in increasing order.\nAnswer: -496\/3, -10, -1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -7.3.\nAnswer: -29.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -39*z + 18. Determine f(4).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 15 (b) 0.5 (c) -1302 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3012, 6024, 9036, 12048?\nAnswer: 15060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25 and 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*k - 2 = -22*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -39*o + 48. Let r be n(-7). Let g = r + -311. What is the remainder when 19 is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q**2 + 35*q - 19. Let i be l(-12). Let a(v) = -2*v - 3. Let o(r) = -2*r - 3. Calculate i*a(h) + 6*o(h).\nAnswer: 2*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52, -208, -474, -856, -1360, -1992, -2758?\nAnswer: -3664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -175 - -96. Let x = h + 79.00000051. Round x to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3769 - -8689. List the prime factors of r.\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/16 and -39\/3368.\nAnswer: 6736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*(r\/((r*(r\/r**4)\/r)\/r)*r)\/r)\/(r\/(r\/(r**(1\/3)\/r*r))*r))\/(r*r**(-2)*r*(r*r\/r**1)\/r))**(-4\/7) assuming r is positive.\nAnswer: r**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, 1, 33, 13 in ascending order.\nAnswer: -41, 1, 13, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -2*i - 3*i. Suppose 0*x = -3*x - 2*b + 55, 0 = 4*b - 8. Let c = i + x. Solve -z + 3 + c = -5*h, z + 6 = -h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 88 = -14*z - 3*y + 6*y, 0 = z - 7*y + 42 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*c - 20 = -55 - 70. Solve c*m = -14*o + 11*o + 10, 3*m - 25 = 2*o for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59+-0.06368\nAnswer: 58.93632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(432)*-3 - sqrt(432))*-5)**2 + (sqrt(432) - (sqrt(432) + -1 + sqrt(432) + 5))**2.\nAnswer: 96*sqrt(3) + 173253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8856 and 26937.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**4 - 955 + 70544*b**2 - 70544*b**2 + 3*b**3 in the form a*b**2 + h*b + i + p*b**4 + s*b**3 and give i.\nAnswer: -955","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - c**2 + 19*c**2 + 5*c**3 - 18*c**2.\nAnswer: 5*c**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25780428 divided by 2864492.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b + 4*b + b**2)*(2805029 - 2215*b - 2805029).\nAnswer: -2215*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + y**2 - y + 2. Let i be l(-2). Solve -5*x - 2 - 13 = i for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6645934?\nAnswer: 2, 19, 174893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -129.2 + 137. Let j = h + -10.8. Which is the nearest to j? (a) 5 (b) -5 (c) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oztuutzgusstsuo. Give prob of sequence tg.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 46319021*z**6 + 24921306*z**2 wrt z?\nAnswer: 5558282520*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -0.76904.\nAnswer: -0.307616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - ((-513)\/(-36) + -3)) + 6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23.4 - -23.397. Let a = l - 0.097. Is a equal to 47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express r + 3*r**4 + 2*r**3 + 0*r**3 - 2*r**4 + 2*r**4 as g*r**3 + c + p*r + m*r**2 + n*r**4 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a micrometer in nanometers?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*621\/46*64\/(-480)*1*10.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.039 + 0.039. Let v = g + 7.4. Round v to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of k**6\/150 - k**5\/75 - 2*k**2 - 64. Factor w(u).\nAnswer: 4*u**2*(u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1491 + 1523. What is the least common multiple of 24 and i?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -69801 + 69870.054. Let n = -69 + m. Round n to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 456 = 1220. Calculate the remainder when r is divided by 97.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/32)\/(164\/(-6560))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19952?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 - (-29 + (-41 - -26)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-3) - 130\/(-30). Let q be -2 - c\/(5\/(-2)). Suppose q = -4*b + 420 + 472. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -2.4, -637.9, 5 in descending order.\nAnswer: 5, -2.4, -29, -637.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 3 (b) 4 (c) 0.04 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 115 - 637. Let l = a - -424.4. Let d = l + 100. Round d to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wjwjwewjvvvvbv. What is prob of sequence ej?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 - 3*j - 8. Let q be t(-5). Let u be (-12)\/q - 11\/3. Is 15 a factor of u\/((-6)\/(-8)) - -22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 6:25 PM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3286\/5 - -656. Which is smaller: -0.37 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43448 is divided by 669.\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 20 - -27?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.085 + 0.485. Let h = 1 + 0. Let w(z) = -z**3 + 4*z**2 + 3. Let u be w(4). Which is the closest to 0.1? (a) h (b) g (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 6.9, 2465?\nAnswer: 6.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (1 - -6) - (-53 + 48)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 22432424523?\nAnswer: -22432424531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -270921*b**3 + 14*b**2 - b - 3345365 wrt b.\nAnswer: -812763*b**2 + 28*b - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 0.296, -0.3 in decreasing order.\nAnswer: 2, 1, 0.296, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -6, 5, 6, 3\/5 in ascending order.\nAnswer: -6, 3\/5, 1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - 2*b + 5. Let a be j(-3). Is 95*a\/(-20)*-2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2 + -3 + sqrt(7))**2 - (-5 + sqrt(49)\/sqrt(7) + -5).\nAnswer: -3*sqrt(7) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33491?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -c + 5. Let s(v) = -2*v + c*v - 3*v. Let z(k) be the first derivative of 5*k**3\/3 - 41. Give z(s(q)).\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus -0.03921802476741?\nAnswer: -3.96078197523259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/7)\/(t\/(t\/(t*t**(-6\/5))*t))*(t**0)**31*((t\/t**8)\/(t*t*t**6))\/(t**3*t**(-1\/8)*t) assuming t is positive.\nAnswer: t**(-5029\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2910143927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 4408590 to the nearest 10000.\nAnswer: 4410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002590598 to seven dps.\nAnswer: 0.0000259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*c**4*f + c*f**2 - 76*c - 13*f**2 - 13*f + 3 wrt c.\nAnswer: 16*c**3*f + f**2 - 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 596 - 1572 = 0. Let s = 474 + j. Suppose 5*h + 0*y = -4*y + s, 2*y = 4*h - 184. What are the prime factors of h?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 - 4*m + 5. Let k be c(4). Suppose 9*d - k*d - 20 = 0. Sort 3, d, -4 in decreasing order.\nAnswer: d, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*k - 21*k - 4 = 0. Solve 18 = -5*x - v, -3*x + 8*x - k*v + 3 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -406*n - 990 - 634 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -230 (base 5) to base 11.\nAnswer: -5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-7)*(-252)\/144. Sort -167, -5, 2, v.\nAnswer: -167, -5, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - 6\/16*4. What is the second smallest value in y, -0.2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 8*x**2 + 6*x - 14. Let t be h(-4). Let c be -15 + 2*9\/6. What is the units digit of (t\/c)\/(28\/(-2184))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8977*u**2*y**3 + 111*u**2*y + 6*u**2 + 2*y**2 + 1 wrt y?\nAnswer: 53862*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13626360 divided by -270.\nAnswer: 50468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27.9 - -28. What is the nearest to f in 5, 0.5, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 367*t. Let p(l) = l**2. Determine p(b(s)).\nAnswer: 134689*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1)*(u\/((u*u**2)\/u))\/u)\/((u*u**5)\/u**(-2\/11))*(u**7\/((((u*u**8*u)\/u)\/u)\/u))**(-26) assuming u is positive.\nAnswer: u**(-101\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -283\/990 - -7\/110. What is the third biggest value in -2\/3, -166, k?\nAnswer: -166","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 19. Suppose -3*h - 56 = -n*h. What is the smallest common multiple of 36 and h?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1086942 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 204410496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -963, -2447, -4093, -5877, -7775?\nAnswer: -9763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i**3 + 5*i + 8. Let a be l(-2). Let p = 5 + -3. Solve 5*h + a = -s, -4*s = -4*h - 10 + p for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + -2)*2 - 2490\/(-165). Let k = -13 + m. What is the common denominator of -101\/4 and k?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of a**4\/12 + 3*a**2\/2 + 4. Let x(w) be the second derivative of n(w). Let y(k) = -2*k. Determine x(y(l)).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 20506, 41008, 61506, 82000, 102490?\n\"Answer: -2*g**2 + 20508*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 9, 92 in decreasing order.\nAnswer: 92, 9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -10.3, 11, -68\/5, 1, -1\/2, -0.07?\nAnswer: -10.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -6*h**2 - 62*h + 2. Let g(u) = -u. Give g(z(v)).\nAnswer: 6*v**2 + 62*v - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000188245 rounded to 5 decimal places?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4*((3 + 0 + -5*(2 + sqrt(11)) + 2)*-6)**2*-2.\nAnswer: 14400*sqrt(11) + 86397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -b**3\/6 - b**2 + 2*b. Let u be z(-5). Let q = u - -3. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*n**5 - 883*n**4 + 2*n**3 - 24928*n**2 wrt n?\nAnswer: -660*n**2 - 21192*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1, -30, -107, -256, -501, -866?\n\"Answer: -4*c**3 - c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000118002 to 6 decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10886951.\nAnswer: 929, 11719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 147, 17, -5, 5 in descending order.\nAnswer: 147, 17, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/8*(-20)\/120\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 10*s**2 - 7*s - 13. Let k be l(9). Suppose 0 = k*y - y. What is the first derivative of y + 1 - m + 0*m wrt m?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46 - 31344026*y**3 + 31344027*y**3 + 187.\nAnswer: y**3 + 141","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - 4*b + 7. Let i be t(5). Let k be 4\/6 - 130\/15. Let s = i + k. Solve q = s*q - 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 1 = 246. Calculate the remainder when x is divided by 121\/7 + (-36)\/28 + 1.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 773322 - 5.\nAnswer: 773317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -66 - -96. Calculate the remainder when 148 is divided by w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118710 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: Calculate 1 divided by 130924.\nAnswer: 1\/130924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 33\/(-12)) + (-189)\/(-2772)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/1 + (-2)\/(-2). Let a be 672\/(-144) + (-352)\/(-60). What is the third smallest value in 0, n, a, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/228 and 91\/809976.\nAnswer: 15389544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2171*q**3 + 4*q + 2136?\nAnswer: 6513*q**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15503 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (11\/22)\/((2 - 52925\/(-52920)) + -3) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 250425 and 7579?\nAnswer: 35810775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/(-48))\/((-18)\/120).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*j + 820 = -76*j. Sort -3\/4, 3, -124, j, -1\/5 in decreasing order.\nAnswer: 3, -1\/5, -3\/4, j, -124","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 7*z**3 - 6*z. Suppose 4*n - 40 - 436 = -0. Let a(h) = 140*h**3 - 119*h. Suppose -y + 5*g = -9, 2*y + 5*g = -17 - 10. Give n*s(b) + y*a(b).\nAnswer: -7*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**3 - 17*q**2 - 3*q + 10. Let n be d(9). Let z(s) = s**3 + 6*s**2 + 7*s. Let t be z(-4). Calculate the greatest common factor of t and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*q**2 - 2*q + q**2 + 5*q**2 + 3)*(-4 + 5 + 0)*(4 - 2 + 0).\nAnswer: -2*q**2 - 4*q + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 39, -18, -181, -504, -1041, -1846?\n\"Answer: -9*r**3 + r**2 + 3*r + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.46 - -0.16. Let p = b + 5. What is the second smallest value in p, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1715 + 959 = 51*p + 365 - 241 for p.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21057 rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/21 - 4\/(-14))\/(75 + -73)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*d**2 + 2*d**3 - d**3 + 2*d**3 wrt d.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6, 1\/215, -27\/8 in increasing order.\nAnswer: -27\/8, 0, 1\/215, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-10)\/56)*16\/32?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 235, 1311, 4063, 9331, 17955?\nAnswer: 30775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 112*r + 226. Give i(0).\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1202000100122222 + -10?\nAnswer: -1202000100200002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -293.33 times 1\nAnswer: -293.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -1.14 and 19 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 greater than or equal to -29\/679?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54 - (1 - -1)) + -27 + (13 - -33 - 13)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -34*n**2 + 173*n - 8. Let g be x(5). Solve -11*i + g*i + 12 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -15 (b) 0.5 (c) -2\/59 (d) 2\/7 (e) 278\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2*k - 13 = 26, -4*k - 1 = b. Calculate the greatest common factor of 63 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25640592*d**2 + 3822853 wrt d.\nAnswer: 51281184*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 304119658 to the power of 1\/2, to the nearest integer?\nAnswer: 17439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -263*c - 8793 = -272*c. Let a = c - -1304. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 15*n**2 + 26*n + 13. Give f(-13).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -368 + 380 - (2 + 14 - 1) - -15?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -10.01. Let x = m - 0.09. What is the closest to 2 in 2, -0.4, x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10175.9 - -0.13.\nAnswer: -10175.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 83*u**2 + 145*u - 553. Calculate the remainder when o(-81) is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1035 - 319*b - 505 - 527 to f*b + j and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -30244 rounded to the nearest one hundred?\nAnswer: -30200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mggm when four letters picked without replacement from {g: 11, a: 4, m: 4}?\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -184209970 rounded to the nearest 100000?\nAnswer: -184200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -36, -288, -720, -1332, -2124?\n\"Answer: -90*x**2 + 18*x + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-367 - 431 + 961)*(4 - 4 - d).\nAnswer: -163*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 3:27 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-6 + 15 + 7 - 2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 plus -0.033361?\nAnswer: 50.966639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3894706, -15578750, -35052158, -62314930, -97367066, -140208566?\n\"Answer: -3894682*i**2 + 2*i - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*u - 22*u - 4 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/7*(420\/(-414))\/10. Which is smaller: d or 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -7*t**2 - 34*t + 152. Let c(q) = 4*q**2 + 20*q - 90. Let p(n) = 12*c(n) + 7*j(n). Calculate p(0).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 432479686?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 676447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (34\/(-22)*1)\/(2480\/5456)?\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 263.26287 to zero decimal places.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 9*v - 6. Let i be l(6). Let x = i - 13. Let r(w) = 32*w**2 - w - 1. What is r(x)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1470.3 + 3634.4733.\nAnswer: 5104.7733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -49, 495, 1373, 2561, 4035, 5771, 7745, 9933?\n\"Answer: -4*u**3 + 191*u**2 - u - 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, q: 1, f: 4}. What is prob of picking 2 x and 1 q?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 41758509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -10*x**2 + 3*x + 10. Determine k(5).\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2862*i*v*y**3 + 2*i*v*y**2 - i*y**3 - 8483*i - v*y**3 - 33*v*y**2 - 2*v - 4*y**3 wrt y?\nAnswer: 17172*i*v - 6*i - 6*v - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 64623684*g**3*v + 2*g**3*y + 312*g**2*y - 3*g**2 - 2*g*y - 50*g + 4*v*y wrt g?\nAnswer: 387742104*v + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 51*n**2 - 18 - 97*n**2 + 2*n + 6*n + 49*n**2 in the form h*n + u*n**2 + x and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*d = -42*d - 25, 0 = 5*f + 2*d - 5 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -6*x + 4*x - 1132, 3*f + 4*x - 1156 = 0. What are the prime factors of f?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - o - 2)*(2*o**2 + 3*o**2 - 3*o**2)*(-o - 2*o + 8*o)*((2 + 1 - 5)*(14*o - 24*o - 15*o) - o - 5*o + 4*o).\nAnswer: -480*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 32*c**2 - 37*c + 25. Calculate d(31).\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -6\/5 (b) -454 (c) -50 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34872 - -34870. Let p(j) = j**3 - 6*j**2 - 5*j + 5. Let g(x) = 2*x**3 - 11*x**2 - 9*x + 9. Let c(m) = 6*g(m) - 11*p(m). Calculate c(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -u - 2*r, 5*r = -0*u + u + 10. Suppose -3*o - 2*o + u = -p, 0 = -o - 3*p - 13. Let k(g) = -3*g**2 + 3*g - 2. Calculate k(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/((-5)\/(3 - -2)). Let n(z) = -17*z. Let w(c) = 460*c. Let m(f) = 80*n(f) + 3*w(f). List the prime factors of m(i).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2b + d96?\nAnswer: dc2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2815 - -2813. Sort 2, -29, -5, b.\nAnswer: -29, -5, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 48.2 + -53. Let n = u - -5. Let a = -1.1 - n. Round a to 1 decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -369 + 669. What is the highest common divisor of x and 72?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.06, 111\/10, 5, -3, -0.2?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m - 1. Let z(d) = d**2 + d - 11. Let r(o) = 5*j(o) - z(o). Give r(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2515732.\nAnswer: 2, 677, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pddpjptpdudpptpt. Give prob of picking 1 u and 1 j.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 95 = -16*c - 104 + 175, -3*c = -2*b + 14 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 2*l + 18. Let h be d(0). Suppose u = -8*u - h. Is u < -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - 19. What is the nearest to 2\/9 in n, -0.4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 10*o**2 - 8*o + 13. Let g be u(-9). Suppose -8 = 5*s + 7, -g*q + 411 = 3*s. Is q a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*r**2 - 27*r**2 - 18*r**2 to v*r + u*r**2 + c and give u.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7434 - -7449. What is the second smallest value in 1\/4, -10\/9, n?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 710.\nAnswer: -1\/355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/27*(-2580)\/(-1720).\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1182 + 78 = 14*m. Let g = m + -55. Calculate the highest common factor of g and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 + 8*f - 10. Let r be i(5). Let y be 1\/1*-1 + 10. Suppose r*z = 3*u - y + 46, -4*z + 32 = -3*u. Calculate the lowest common multiple of 1 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-512)\/(-12) - (-2)\/(-3). Let z be (-1)\/3 - (-86)\/6. What is the highest common factor of z and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 6*z + 3. Let w(d) = -d**2 + 13*d - 7. Let b(t) = -7*p(t) - 3*w(t). What is the second derivative of b(k) wrt k?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (134*a - 28 + 28)*(1 + 0 + 1 + (-3 - 2 + 4)*(-1 - 2 + 2) + 4 + 2 - 4).\nAnswer: 670*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3378187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44)\/(-11)*171\/(-180)*-5?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p + 12*p - 1 - 19*p - 2*p - 31*p.\nAnswer: -45*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -251 - -253. Find the first derivative of 4*m**n + 247*m + 248*m - 501*m + 18 wrt m.\nAnswer: 8*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from otjlt. Give prob of sequence ojlt.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 14*n**2 + 14*n + 15. Let b be (-12)\/(1\/1) + -1. Let w be z(b). Solve -2*d = -4*d + w for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 186, 523, 1166, 2217, 3778, 5951, 8838?\nAnswer: 12541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 31503945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16021.\nAnswer: 37, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1*(sqrt(68)\/(sqrt(16)*2) + 2) + -3.\nAnswer: -6 - sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -56059 + 56064. Let d = -0.6 - 2.4. What is the closest to -0.2 in d, 1\/7, a?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-195)\/10*(-1 + -1) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3284*d**2 - 766. Let n(p) = -1645*p**2 - 384. Let r(b) = -5*n(b) + 2*s(b). Differentiate r(c) wrt c.\nAnswer: 3314*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 475 divided by 319.\nAnswer: 475\/319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 217*u - 425*u + 27*u**2 + 208*u.\nAnswer: 27*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 1:53 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1363 + 2373. What is the hundreds digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124556901247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 - k**2 + 3*k**2)*(9*k**2 - 4*k**2 - 13*k**2) - 2*k**4 - k**3 + k**3 + (-k**3 + 0 + 0)*(2 - 2 - k).\nAnswer: -9*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 4*x - 68, -4*x + 30 + 42 = -5*g. Calculate the highest common factor of x and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, y: 12}. What is prob of sequence dyy?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) + (sqrt(190) - (sqrt(190) - 5*-2*sqrt(190))) - sqrt(190)) + -6*(3*sqrt(190) - sqrt(190)) + sqrt(190))\/(sqrt(280)\/sqrt(28)).\nAnswer: -21*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 67 - 14. Let t = -53 + o. Solve -4*x - 24 = -4*a, 5*x + 5*a = -t*a + 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 1 = -4. Suppose -r*c + 0 = 3. Calculate the common denominator of 99\/14 and (c\/2)\/(11\/17).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 266 a factor of 120992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 53, 131, 217, 311, 413?\n\"Answer: 4*s**2 + 66*s - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -6. Let t = -1.8 - s. Put 0, t, 5 in descending order.\nAnswer: 5, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -410*f**4 + 355*f**2 + f - 2. Let j(b) = 818*b**4 - 709*b**2 - 3*b + 5. Let h(w) = 2*j(w) + 5*p(w). What is the third derivative of h(t) wrt t?\nAnswer: -9936*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-2))\/((87\/(-116))\/(2\/8)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 21 = 24 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -4*l**2. Let o(i) = -6*i**2 - 1110*i + 35. Calculate o(z(t)).\nAnswer: -96*t**4 + 4440*t**2 + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -62*f + 56*f. Sort -5, 22, f in ascending order.\nAnswer: -5, f, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5764 - -5780 - (1 - -47 - 0).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 22*c**2 + 3*c - 36. Let a = -13 - 8. What is the units digit of x(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.1, -1\/5, 18, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 771 is divided by 97?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r + 2*r - 2*r + (-2*r + 4*r - 3*r)*(4 - 4 - 1) + r - 5*r + 2*r + 3*r - 4*r + 2*r + (-1 - 4 + 7)*(0 - 2*r + 0).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -1, -2, 21.36, -4, -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n**2. Let d(u) = 548*u**2 + 19. Calculate d(r(o)).\nAnswer: 4932*o**4 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(3 - 22\/10). Which is the closest to r? (a) 2 (b) -1\/2 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 7, h: 5, t: 1}. What is prob of picking 2 a and 1 h?\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 10*y**2 - 46*y + 1. Is t(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**4 - 25684*y**3 + 51371*y**2 - 25686*y = 0. Calculate y.\nAnswer: -25686, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 440 = -130*l + 108*l for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30\/13 - -32\/13. Let j = 0.04 + 2.96. What is the third smallest value in k, 4\/5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.4, 13, 1\/2, 3, 3\/1199?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1775637 and 30.\nAnswer: 17756370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 49*c**2 + 40*c. Let n be (-30)\/9*(54\/(-12) - -3). Let d(m) = 99*m**2 + 80*m. Let u(f) = n*i(f) - 2*d(f). Find the second derivative of u(l) wrt l.\nAnswer: 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 787 - 792. Which is the closest to -3\/5? (a) r (b) 0.1 (c) -0.4 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12 or 99077\/8347?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 128*k**4 + 191*k**2 + 7*k + 1344?\nAnswer: 1536*k**2 + 382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19 in -0.1, -2, -1.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 56 + (7 - 42)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -626 + 281. Let b = -156 - i. What is the greatest common factor of b and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 3)\/((-2)\/(6\/3)). Let w be s*(-7 - (-15)\/2). Solve w*z = -z - 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 91599766564389232 + -202533953856366724559564\/2211075. Let f = -4\/245675 + t. Let o = -4440 - f. Find the common denominator of o and -51\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -14. Let a = -1 - c. Sort a, -2, -4 in ascending order.\nAnswer: -4, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -50*m + 32. Let q(l) = l**2 + 3*l - 31. Let r be q(10). Let v(t) = -287 + r*t + 85 + 137. Let i(b) = 5*u(b) + 3*v(b). Differentiate i(w) wrt w.\nAnswer: 47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -14 - 12*h - 17*h + 14*h + 17*h. Calculate u(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1593143 and 371940?\nAnswer: 95588580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r**(-3\/5)))\/(r*r**(-1\/42)) assuming r is positive.\nAnswer: r**(-79\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-5)*(-4)\/((-100)\/(-5))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 12:35 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*(-3 - -5) + 4. Find the common denominator of 2 + 235\/(-45) + z and (34\/16)\/(1\/3).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 85 + -63. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -107 in -1, -0.3, 6, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 1)*(16*n + 4*n + 53*n) in the form z + g*n and give g.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 1354640\nAnswer: 5418560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t + 2*t**2 - 3*t)*(-2*t**2 + 2*t**2 + 3*t**2)*(t + t + 0*t).\nAnswer: 12*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 - -15. Does -6 = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 2*i - 12 = -0*i, 0 = 2*o - i + 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 5*j + 4 = 5, -4*h + 5*j + 49 = 0. Solve h*d = 7*d - 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -703.1 + 696. Round t to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1818 and 1669227?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -6 + 12 - 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.185 less than 609377?\nAnswer: 609397.185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -43636*x*z - 3*x + 4623127*z with respect to x.\nAnswer: -43636*z - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 3, -3 in descending order.\nAnswer: 3, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -100 + -11 + (67 - 53)?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v**4 - 6*v**3 - 5*v + 7. Let f(q) = q**4 + q**3 + q - 1. Let x(g) = 6*f(g) + o(g). Let n(u) be the first derivative of x(u). Does 13 divide n(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -121*w**4 + 3*w + 5*w**2 + 61*w**4 + 61*w**4 - 2*w**3 as r*w**3 + g*w**4 + h*w + f + x*w**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 36025767.\nAnswer: -1\/12008589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i - 4. Let c(l) = -3*l + 5. Let k = -19 - -23. Suppose 0 = -k*u + 3*u + 4. Give u*c(g) + 5*q(g).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g + 1. Let j(o) be the second derivative of o**4\/12 + o**3\/6 - 9*o. Let b(c) = j(c) + 2*p(c). Let m = 3 - 1. What is b(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -4. Suppose s - 2*z - 8 = -7*z, -s - z + 4 = 0. Which is the closest to 0.1? (a) 0 (b) y (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69436303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -181\/13110 and 67\/1314534?\nAnswer: 151171410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 18*w + 0 + 12.\nAnswer: 18*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12016 = y - m, -4*y + 5*m - 15961 - 32098 = 0. Let i = -721 - y. What is i rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3102121, -6204237, -9306353, -12408469, -15510585?\nAnswer: -18612701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.041 and 161969.5.\nAnswer: 161969.541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, t: 2}. Give prob of picking 2 e.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 u when four letters picked without replacement from usuussuuususuusxu?\nAnswer: 10\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -9, 0.1, 3, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 - 10 = 2*v. Let j(y) = y**2 - 8*y - 9. Determine j(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 6:41 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 6*x - 0*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 12\/5, -4\/5, 0.3, 2\/3?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 10*h**2 - 25*h + 10. Let q be b(6). Find the second derivative of -74*f + 0*f**q - 3*f**4 - 5*f**4 + 99*f - f**3 wrt f.\nAnswer: -96*f**2 - 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.5 + -0.1. Suppose 0 = 7*m - 4*m - 30. Let j be (m\/35)\/((-15)\/(-7)). Which is the nearest to 2? (a) j (b) v (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -1\/6, -1887\/14, 0.2 in increasing order.\nAnswer: -1887\/14, -5, -1\/6, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w + 2*w - 54 = 0. Suppose -19*y = -w*y - 52. Solve -2*r = 3*j - 12, -5*j + 4*r - 2*r + y = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 55*h - 1803. Determine u(-23).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 22 - a8?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 - 24. Solve -t*d = -d + 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3721320 is divided by 53.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 - -36. Let u = f + -4. Let o(d) = -d**3 + 7*d**2 - d + 9. Let c be o(7). Solve -u - c = -5*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1692108357 to the nearest integer?\nAnswer: 41135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -11*f**3 - 27*f - 51. What is the hundreds digit of c(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 189 divide 20339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 18*t - 2026. Give u(-47).\nAnswer: -663","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -45925*u. Let m(d) = -11*d - 1. What is m(w(k))?\nAnswer: 505175*k - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2\/7 + 58172*s\/7 + 116360\/7.\nAnswer: -4*(s - 14545)*(s + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12556 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 9*b. Let a(o) = 2*o**2 - o - 15. Let c be a(-5). Let j(n) = -n**2 - 18*n - 41. Let g be j(-9). Let z(x) = g*x - 81*x + c*x. Give t(z(i)).\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2295 and 37689000?\nAnswer: 339201000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 1:04 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -20*l + 1821. What is a(79)?\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -13*c**3 + 107*c**2\/2 + 38*c + 1. Differentiate t(d) with respect to d.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*q**2 + 10*q**2 - 19*q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(99) - (sqrt(99) + -1*sqrt(99) + sqrt(99))*4)*6*1)\/(-1*(sqrt(729) - (sqrt(729) - (sqrt(729) + (sqrt(729) - -3*sqrt(729)))))*-1))**2.\nAnswer: 44\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 894.8 or 2453?\nAnswer: 894.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dkg when three letters picked without replacement from dgdgdkggdgd?\nAnswer: 5\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/(-42)*1\/34. Which is greater: z or -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 15) in base 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -26, -40, -66, -110, -178, -276, -410?\n\"Answer: -q**3 - 7*q - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4359, 30532, 56705, 82878?\n\"Answer: 26173*w - 21814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 2 + 1. Let t = 1.992 - -0.008. What is the nearest to t in 5\/2, u, -2\/5?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d + 48. What is the remainder when (((-95)\/(-25))\/(-1))\/((-2)\/30) is divided by m(-11)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*f = 280 + 1862 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 702\/1716*(-36)\/(-243)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**4\/8 + 9285*j**3\/8 - j**2\/2 - 9285*j\/2 = 0.\nAnswer: -9285, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 9*r**2 + 16*r - 7. Let d be l(-11). Let i = -235\/4 + d. Which is the nearest to -0.2? (a) -1 (b) -8 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of i**4\/12 + 5*i**3\/6 + 25*i + 10. Let k(d) be the first derivative of w(d). Determine k(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21.6 + -25. Let i = -0.06 - -3.06. Let a = i + n. What is the second biggest value in 0.4, a, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3559460 a multiple of 493?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7778 or -7993?\nAnswer: -7778","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -208360.738164 and -0.452.\nAnswer: -208361.190164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2 = 16. Let x(i) = i**2 + 47*i - 6. Let c(m) = -46*m + 5. Let v(a) = k*c(a) + 5*x(a). What is the second derivative of v(d) wrt d?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22941232?\nAnswer: 2, 149, 9623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78695168?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of g**6 - 2*g**5\/5 + 35*g**4\/4 + 569*g**3\/3 + g**2\/2 - 2636. What is the third derivative of a(q) wrt q?\nAnswer: 360*q**2 - 48*q + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of -r**5\/60 + 7*r**4\/12 - 3*r**3\/2 - 5*r**2. What is the least common multiple of 16 and j(13)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 8*x - 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - r - 280 = r, -562 = 4*m + 2*r. Let f be 2\/(-9) + m\/(-27). What is the second derivative of -c + c - c**f + c wrt c?\nAnswer: -20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gvzs when four letters picked without replacement from sgzov.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 0, -2 in descending order.\nAnswer: 3, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**12)\/k**(2\/9))**(-11\/2) assuming k is positive.\nAnswer: k**(-1265\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -219*g - 1 + 5*g**4 + 220*g - 6*g**3 + 16*g**3 in the form v + i*g**4 + j*g**3 + f*g + w*g**2 and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0011571 to 5 dps.\nAnswer: 0.00116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 + 37. Let y(s) = s - 6. Let x be y(l). Let r be (-3)\/(9\/12 + x). What is the closest to 2\/3 in 3, -0.06, r?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3*o**3 + 71*o**2 - 45*o - 17. Let j be p(23). Suppose 3*z + 9 = j, 0 = -5*r - 5*z + 3395. Does 29 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2ac808 + -6?\nAnswer: 2ac802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, x: 2, m: 4, k: 7, p: 1}. Give prob of sequence ki.\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*n - 47*n - 2158 = -37*n for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of 811*s**3\/3 - s**2 + 2*s - 21. Let w be g(2). Suppose -16*k = -w + 1114. What is the remainder when k is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 13. Solve 2*s = t*w + s - 12, 0 = 2*w + 4*s + 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oonoc. What is prob of picking 1 o and 1 n?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 3087?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -5*m + 3*m. Let x(d) = -2*d - m + 11. Let p(z) = -z**2 + z + 1. Let i(b) = -2*b**2 + 5*b + 5. Let c(r) = -i(r) + 5*p(r). Give x(c(w)).\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1613831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.46 + -4.46. Which is the third biggest value? (a) m (b) -3 (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 3) to base 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -18943, -75768, -170475, -303064, -473535?\n\"Answer: -18941*b**2 - 2*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-385)\/(-2178) + 6\/45*15\/(-9). Which is the closest to 0.1? (a) f (b) 2 (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 922*n**3 - 620*n**3 - 681*n**3.\nAnswer: -379*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -258*g - 10408 + 17632 for g.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 12:30 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - 10) + (-791)\/(-42) + -11. What is the nearest to -2\/3 in 0.3, 3, d, 7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-2)*n*n)**(2\/23)\/((n**(-2\/3)*n)\/(n\/(n\/(n**7*n)*n*n))))\/(n**(-8\/3)*n**(-1\/3))**12 assuming n is positive.\nAnswer: n**(2905\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14\/10 - (-4)\/(-10). Let x(p) = p**2 + p + 3. Let h be x(-3). Let v = h - s. Is 7 greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -8 - 5 + 6 + 5*h + 0. Let x be p(2). Solve -i - 3 - 6 = 4*b, 0 = 4*b + 3*i + x for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000937 to the power of 1\/2, to the nearest integer?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/3878091 and -49\/639?\nAnswer: 3878091","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 8)\/6 + (208 - 190)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11778 is divided by 1394?\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -17\/70*u**6 + 13\/20*u**5 - 30 + 1\/42*u**7 - 3*u + 0*u**2 - 19\/28*u**4 + 5\/21*u**3. Find d such that q(d) = 0.\nAnswer: 0, 2\/7, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2833279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 4*x = 15724, -x = -6*x. What is the thousands digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 + 38 + 6 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*o + 169 = u, 5*u - 2*o - 370 = 0. Is 34 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 8*z - 7. Let c be q(8). Let a(j) = 2*j + 16. Let o be a(c). Solve o*l + 0*l = -2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 571341.\nAnswer: 3, 43, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -201536 by 47.\nAnswer: -4288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1100 and 2970.\nAnswer: 29700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 4*s**2 + 4963*s. Calculate m(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 10, -5*i = -0*i - n + 30. Let a be 40\/(-12)*6\/i. Suppose 0 = -2*d - t + 4, 2*t + a = -3*d + 10. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1041091357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -366288?\nAnswer: 366287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 120.3 in -23, -0.1, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b = -5*b - 4*b - 11385. Does 55 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*j + 52*j + 5*j + 2 - 7*j.\nAnswer: 65*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-92)\/805)\/((-2)\/5). Let t be (8\/(-38))\/(-2) - (-2940)\/4560. Which is the nearest to f? (a) -3 (b) t (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 5, 3*f + 0*l - 29 = -4*l. Suppose -47 = -5*b + 3*c, -b - c + 15 = -f*c. List the prime factors of (-170)\/(-7) + (-2)\/b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9559054 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 16) to base 5.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 l, and 1 v when three letters picked without replacement from {w: 2, b: 3, i: 2, v: 1, d: 3, l: 1}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8881492 is divided by 34.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1399)\/(-4197)*((2 - -5) + -1). Find u, given that 1\/4*u**k - 9\/4*u + 2 = 0.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*p = 18, 3*r + 2*p - 16 = 6. Solve 0*a + 16 = -r*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 5*g - 10. Suppose 0*n = g*n - 12. Suppose -3 = -2*c + 3*z + n, c - 4*z - 7 = 0. Calculate the smallest common multiple of 2 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + -58 + 14 - -61?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a7a4f - -3?\nAnswer: a7a52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 2*z - 6. Let q be (1\/z)\/(0 + -1). Is q <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + 10\/4)*0. Suppose l*t - 36 = 4*t. What are the prime factors of 5 - 2 - (t + 1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(128) + -2 + -4 + (sqrt(128) - (4*sqrt(128) + 0 - sqrt(128))))*2)**2 + 3 + 1.\nAnswer: 64*sqrt(2) + 520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 266244?\nAnswer: 2, 3, 11, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 91 - 91.73. Let h = -1.73 - f. What is the closest to 2\/3 in 4, 0, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -894*y**3 - 65 + 30 - 3 + 36 to the form n + h*y**3 + s*y + b*y**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 88638035 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-16) + (63\/(-27) - -3).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91 + -165 + (155 - 171).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 15. Suppose -4*m = 4*d - 60, 0*d + 2*m = 3*d - 20. Let q = 14 - d. Solve c = -q*y - 8 - 0, 4*c + z*y = -8 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -578*q**3 + 3*q**2 - 4*q - 29. What is the thousands digit of a(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 20*y - 97. Let x be j(5). Suppose x*l - 808 - 1118 = 0. Which is smaller: 1 or l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of 17*s**2\/2 - 5*s + 5. Let f be u(7). Let p = f + -66. Does 16 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.15? (a) 7 (b) 23\/9 (c) -14 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y = 7*y + 42. Let j be 1*2\/(2\/(-5)). Calculate the common denominator of (0 - (-123)\/(-2))*j\/15 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 q when four letters picked without replacement from {t: 2, n: 4, q: 1, p: 2, u: 1, i: 2}?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 86 - -4?\nAnswer: 8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 12 = -3*l - 2*l, 4*l = 3*m + 11. Suppose 0 = 5*b + 5*i + 15, l*b - 7*b + 4*i = -12. Solve 3*v + v - 20 = b for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 566911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence evvv when four letters picked without replacement from vvesv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94097 is divided by 5147.\nAnswer: 1451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pfpfppfpfppfpppppp. Give prob of sequence fppp.\nAnswer: 143\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/9463917 and -73\/153.\nAnswer: 28391751","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, a: 4, s: 3, o: 1, g: 2}. What is prob of sequence oa?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -138*m**2 - 1514*m + 44.\nAnswer: -2*(m + 11)*(69*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 18 = -72. Let h(l) = -9*l - 46. What is the remainder when h(-11) is divided by m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 2 = -3*n, -2*a + 0*a + 18 = 5*n. List the prime factors of (-1 + 8\/n)*(-250)\/(-15).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -824.0581 + 824. Round r to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 0.1, -534, 2\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 3061963990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-1\/4)*a*a*a*a*a\/(a**(-3\/2)*a)*a*(a**0*a)\/a*a\/a**(2\/5))\/((a**(-1\/3))**(-9\/2)*(a**7\/a)\/((a*a\/(a**(6\/5)*a))\/a*a)) assuming a is positive.\nAnswer: a**(3\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 35.60989 centuries?\nAnswer: 3560.989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*b**3 - 1 + 1.\nAnswer: -18*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**3 + 0*z**3 + 5*z**3 + (-31*z - 30*z - 31*z)*(-25*z**2 + 56*z**2 + 61*z**2).\nAnswer: -8462*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 32. Suppose 5*s - 23 = -3*f, -4 = -4*f + 5*s - 20. Calculate the highest common divisor of l and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of -a**5\/60 + a**4\/4 - 2*a**3 + 17*a**2. Let b be f(7). Let l = b + 26. Calculate the lowest common multiple of l and 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 164703212*w - 193431597 wrt w?\nAnswer: 164703212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u + 51. Let m be p(0). Suppose j + 4*n - m = 0, 0*j + 2*j + 4*n = 82. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - n + 44. What is the remainder when n is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**18*l)\/l)\/(l\/(l\/(((l*l**(-11\/3)\/l*l)\/l)\/l*l)))*l**(-2\/21)*l**(-7\/2) assuming l is positive.\nAnswer: l**(253\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 422 - 426.55. Let h = g + -0.45. What is the second smallest value in 7, -0.5, h, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*q + 8*q**2 + 2*q**2 - 2*q**3 + 19*q in the form a*q**2 + s*q + z + g*q**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-68 + -3)*(0 + 1). Let i = 402 + w. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*j = 63*j - 1734. Let n = j - -239. Is -48 bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 64\/(-864) - (-2 - 3904468\/(-2027376)). Is 0 bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -1010?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*m**2 + 3*m - 47*m**2 + 265*m**2 + 15*m**2 - 11*m**2 in the form p + u*m**2 + r*m and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -49.68 - -50. Let h = -1.68 - s. Which is the closest to 1? (a) -1 (b) -3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*s = -8. Let d be (12\/(-16))\/((-2)\/s). Differentiate -3*p**3 - 1 + 3 + p**d with respect to p.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 z, and 1 r when three letters picked without replacement from zxxzxzlzxlxxxlxrlqlx.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -464177164.4 - 815.\nAnswer: -464177979.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 2:58 AM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 h when three letters picked without replacement from hphhpppppp?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 4*p = -27, -11*p + 7*p = 12 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*w**3 - 3*w**3 - 6*w + 5*w.\nAnswer: -11*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 + 1368 = 3*l. Let p = l + -291. What are the prime factors of p?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 269442.8 tonnes to grams.\nAnswer: 269442800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**5\/3 + 394*j**4\/3 + 1094*j**3 - 394*j**2\/3 - 3280*j\/3 = 0 for j.\nAnswer: -8, -1, 0, 1, 205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + 0)*1 + 9. Let o = 10 - v. Suppose -o*p = -7*p. Are 0 and p unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 255*g**3 - 12 - 15 + 41.\nAnswer: 255*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3*a + 0 - 12 = 0, -2*r = a - 7. Suppose 2*p = -h + 13 + 1, -r*h = 2*p - 22. Let z(m) = -m + 28. Let x be z(20). Solve 8 = h*i - x for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.263 take away 1525?\nAnswer: -1524.737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - -0.018.\nAnswer: -2.982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.28965 to one dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v - 1. Let o be x(-3). Suppose -5*g - w - w + 29 = 0, 0 = -5*w + 10. Find the second derivative of -2*n - 2*n**g + 5*n**o + n - 3*n wrt n.\nAnswer: 60*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0386 times 5?\nAnswer: -0.193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -2, -4 in descending order.\nAnswer: 5, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 4*b + 20. Let j be (b - -4)*(-1)\/2. Find z, given that 0*z**2 + 0*z + j - 4\/5*z**4 - 2\/5*z**5 - 2\/5*z**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -70 less than -6387\/91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence avsv when four letters picked without replacement from vdbsvapd.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a milligram in micrograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 75, -699, 0, -8, -38 in descending order.\nAnswer: 75, 4, 0, -8, -38, -699","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4*u - 10 = 0, -8*k + 3*k - 58 = u. Let y = k - -13. Suppose 0 = -s + y. Solve 0 = s*f + 3*f + 15 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 48 or 509?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 83023?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -6 + 43*r**2 - 42*r**2 + 3 + 4*r. Let x(m) = m + 5. Let a be x(-4). Let g be -1*a*(-3 - -8). Let q(y) = -y**2 - 2*y + 2. What is g*q(s) - 3*o(s)?\nAnswer: 2*s**2 - 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12028998*c**2*y**2 - 49*c*y**2 - 6*c*y + 94*c - 31*y**2 wrt c.\nAnswer: -24057996*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-25) + 1905\/375 - 9) + -6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, f: 5, t: 1}. What is prob of picking 1 g and 3 f?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 22 + 51 = 12*a - 16*a, -s + 22 = -5*a for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -p + 45. Let c be (-1)\/2*108\/p. Is 4\/c + 20\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/9428 and -19\/10?\nAnswer: 47140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 115677100507 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-322*s - 493*s + 104*s)*(-3*s - 2*s**2 + 3*s).\nAnswer: 1422*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/3 - -5*16\/30. Does 66 divide (2 + -2)\/(f + -4) + 264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -262 - 526444?\nAnswer: -526716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3 + 1232578*p**2 + 189928866400*p + 7025680758824.\nAnswer: 2*(p + 37)*(p + 308126)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (20 - (25 + 3))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12772810 and 3650.\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, -124.1, 3\/8, 12, 3, 4?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -408*q + 71 - 33 - 38 to the form z + y*q and give y.\nAnswer: -408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -3, 1, -15, 21 in descending order.\nAnswer: 21, 5, 1, -2, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 - 5*w**2 - 4*w**2)*(-2*w**2 - w**2 + 6*w**2) + (2*w**2 + w - w)*(0*w**2 - 6*w**2 + 3*w**2) - w**4 + 2*w**4 - 5*w**4.\nAnswer: -40*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -7*l**2. Let k(x) = -15*x**2. What is 6*k(c) - 13*q(c)?\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -492 - -734. Let z = -239 + v. Solve -5*o - 1 = p - 5, z*o + 5*p + 2 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -584.7 + 584.2. Which is the closest to 20? (a) m (b) -3\/4 (c) -5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -439.4 rounded to the nearest ten?\nAnswer: -440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -287\/88 - -149\/44. Which is the second smallest value? (a) -2\/7 (b) -1 (c) p (d) -13\/4 (e) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 2*r**2 + 1. Let u = -5 + 6. Let z be x(u). Suppose -4*a = -12 - z. Solve a*c - 20 = 5*d, d + 3 + 1 = 5*c for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-99))\/((-34)\/153)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 213633 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 o(y) be the third derivative of -y**8\/1680 - 2*y**7\/525 - y**6\/150 + y**5\/150 + y**4\/24 + y**3\/15 + 7*y**2. Find h such that o(h) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 + (-51)\/15)*-45. Suppose 20 = -0*k + 4*k, 2*x - g = -2*k. Solve -2*w - 18 = -x*z, 0 = -0*z - z + 3*w + 2 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 768 (b) 0.5 (c) -4 (d) -13\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -49936+-354655\nAnswer: -404591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 195 - 195.1. What is the fourth biggest value in -0.4, -1.1, g, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, y: 5}. Give prob of sequence yyy.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 77.2616 - -0.4584. Let d = 77.9 - z. Which is the nearest to d? (a) 5 (b) 0.5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, g: 2, a: 11, t: 2, n: 3}. What is prob of picking 1 h and 3 n?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -39.\nAnswer: -5\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -34389 less than or equal to -34389?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 12:23 PM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 66389822 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*s + 24 + 12. Put 3, s, -1, 0 in increasing order.\nAnswer: -1, 0, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 17 + 3 = -5*g, 0 = 2*f - 3*g. Let h be 27\/(90\/12*1\/5). Suppose 4*v = -u + f, -4*u = -u + 3*v - h. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/8 + 76439*n**2\/8 + 1466408235*n\/8 + 216801112725\/8.\nAnswer: (n + 149)*(n + 38145)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.397687 decades?\nAnswer: 0.0397687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 594 - 8*s**3 - 295 - 299.\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 2:06 AM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 215427431 to the nearest integer?\nAnswer: 599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3949401 and 5883.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*x - 15 + 27. Let z(w) be the first derivative of -5*w + 1\/3*w**3 - 4 + x*w**2. Give z(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*p = -104*p + 24. Let r(f) = -5*f**2 - 36*f - 36. Let a(c) = -c**2 - 7*c - 7. Let o(v) = -11*a(v) + 2*r(v). Calculate o(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/9048 and -51\/2?\nAnswer: 9048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1676 + -1173. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -489 - 1431 = -4*o. Suppose 3*h + o = -2*h. Let f = 207 + h. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -p + n + 43, 5*p = 5*n + 85. List the prime factors of p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 864560 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 4*w**2 + 5*w + 3. Let x(s) = s**2 + 23*s + 72. Let g be x(-19). What is v(g)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5065 - -5065.5. Let i be ((-8)\/(-130))\/((-10)\/(-25)). Which is the second smallest value? (a) i (b) d (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1007 and 646.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 39801 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/3))**(-2\/63)\/(f**(1\/3)*(f\/((f**(-8)*f)\/f))\/f) assuming f is positive.\nAnswer: f**(-1579\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 253 and 10?\nAnswer: 2530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -10 (c) -2\/5 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/((16\/(-4))\/(-4)). What is the closest to 6 in n, 2, 2\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of 0*l**2 + 0*l**5 + 0 + 0*l**3 + 5\/12*l**4 + 4*l - 1\/10*l**6. What is the third derivative of c(a) wrt a?\nAnswer: -72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62218, -118883, -175548, -232213, -288878, -345543?\nAnswer: -402208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 320 divide 602774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-63)\/(-9) - 14) + 6)*-23?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29704051 is divided by 14852004.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11935 and 3465?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 206324782.\nAnswer: 2, 103162391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1936\/46825?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of -f**3\/3 - 3*f**2 - 5*f + 6. Let t(b) = 2*b**2 + 7*b + 6. Let x(q) = -3*p(q) - 2*t(q). What is x(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -64, 0, 20, -1 in decreasing order.\nAnswer: 20, 0, -1, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -272410 (base 8) in base 3?\nAnswer: -11211222220","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 1\/5, 506\/37, 3\/4, 2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 336.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4390738 smaller than 4390723?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2*v = 4*c + 100, -v - 2*c = 30. Let j be (10\/(-4))\/(4\/v). What is the greatest common factor of 75 and j?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 21*f**2 - 44*f - 42. Let a be m(23). Suppose -p - 1 = 0, 5*c - 4*p - 6 = a*c. Factor 4\/3*q**c + 20\/3*q + 16\/3.\nAnswer: 4*(q + 1)*(q + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -576 - -577. Suppose 2*s - 60 = 4*s + 4*n, 34 = -s + 2*n. Which is the nearest to q? (a) 3 (b) -5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (12 - -1) + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1432 or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/466 + -118\/699. What is the smallest value in -25, -0.026, r?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -a**5\/30 + a**3\/6 - 109*a**2\/2 - 97*a. Let m(f) be the first derivative of r(f). What is m(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/680 and 93\/59550160.\nAnswer: 1012352720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 501226463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by 4 + (-15 + 2)*-3?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 8, 4*i - i - 1001 = -5*g. Let z = -104 + g. What are the prime factors of z?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-2) + 45\/6. Let v = 14 - d. Let k(a) = -2*a**2 + 62*a - 415. Let i be k(21). Solve v = -i*w - 18 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -14*j**3 - 6*j**2 + 6. Let z(k) = 85*k**3 + 35*k**2 - 35. Determine 35*r(q) + 6*z(q).\nAnswer: 20*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 + 6*p**5 + 7 + (2*p + p - p)*(-p**4 - p**4 + 3*p**4).\nAnswer: 8*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 24*w - 7. Let m(t) = -23*t + 6. Suppose 4*n = -0*n + 16. Let f(o) = n*y(o) + 5*m(o). Calculate the remainder when f(-2) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1517, -3051, -4575, -6083, -7569, -9027, -10451?\n\"Answer: z**3 - z**2 - 1538*z + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 339 - -196. Let z = -1604\/3 + r. Let i be -2*(7\/2 + -2). Put z, i, 3\/5 in increasing order.\nAnswer: i, z, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2987 + 4553. Is t a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2 - 164*y.\nAnswer: -2*y*(y + 82)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -90*1.88\nAnswer: -169.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n + 1. Let k(m) = -4*m + 6. Let j(u) = k(u) - 6*x(u). Let t(v) = -5*v + 8*v + 9*v. Give j(t(w)).\nAnswer: 24*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t + 49. Let r be n(-14). Solve a = -d - r, 4*d + 20 = 2*d - 5*a for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8\/49 + -47\/588. Let h(g) be the second derivative of -1\/24*g**4 - d*g**3 + 0 + 4*g + 0*g**2. Determine v, given that h(v) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.9 (b) 15 (c) -1\/7 (d) 0 (e) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 3125, -1, 6 in increasing order.\nAnswer: -5, -3, -1, 6, 3125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y + 0*y + y)*(-8*y + 6*y + 16*y) to the form u*y + a + n*y**2 and give n.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -756, -618, -486, -366, -264, -186, -138, -126?\n\"Answer: -q**3 + 3*q**2 + 136*q - 894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-1\/4)*n)**(-27\/4)\/((n*n\/(n\/(n**(-1\/4)*n*n))*n*n)\/n*n*n**(-6)))**0)**(-1\/3) assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 13) to base 15.\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/50244 and 23\/217724.\nAnswer: 653172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 656*k - 4*k + 299*k.\nAnswer: 951*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18)\/4*-2*4556\/(-12). Let n = o - -47905\/14. Calculate the common denominator of n and (2\/92)\/(3*(-10)\/495).\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -240, 3.8, 4?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(40))\/sqrt(8)*5 - (sqrt(5) + (sqrt(320) + 3)**2)*-1)*-2.\nAnswer: -658 - 78*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4*-1 - -2) + 2. Suppose a = -4*w - 0*w + 4. Solve 3*s - 2*s - w = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 3*h - 20, 3*h + h = -3*d + 23. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 37*x - 3275 = -42*x, 5*x - 2460 = -3*i. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - l + 898 = 0, -3*l = 2*w + 3*w + 886. Let q = 1457 + -1353. Let k = q + w. Are k and -76 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 59*k + 2. Let x be n(0). Suppose -5*g - 11799 = -x*i, 0 = 9*i - 12*i - g + 17690. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 623 and 525?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22\/877 + -88181\/15786. Calculate the common denominator of v and 13\/129.\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 21*u**5\/2 - 16035*u**4\/2 - 39057*u**3\/2 - 6945*u**2\/2 + 19518*u + 11490 = 0?\nAnswer: -10\/7, -1, 1, 766","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/8475174 and 91\/54.\nAnswer: 25425522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + 2 - 7*d + 1 + 2*d. What is t(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.001 - 0.099. Let l(k) = k**2 - 1. Let u be l(-2). Let a = -51\/2 + 26. What is the closest to a in u, -4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2055281288 and 3826.\nAnswer: 3826","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(-6)*p)*p)**(-1\/15)\/(p**1)**(-47) assuming p is positive.\nAnswer: p**(233\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -74, 2\/13, 2\/5, 2, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 3*l**5 + 20409*l**4 - 265641*l**3 + 1246959*l**2 - 2514834*l + 1840320 = 0.\nAnswer: -6816, 2, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1)\/b**(5\/7) assuming b is positive.\nAnswer: b**(-12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 12:09 AM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/7)\/(h**(-1\/2)*h))\/(h*h**(-3)*h*h*h\/(h*h\/h**2*h)*h) assuming h is positive.\nAnswer: h**(-23\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + 0 + 1 + 7. Let s(q) = -i*q + 3*q - 141 + 139. Let x(d) = -d - 3. What is 8*s(z) - 5*x(z)?\nAnswer: -3*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 159336.92900056 - 159330.929. Let h = f - 6. Round h to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5747371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 669974 (base 10) in base 16?\nAnswer: a3916","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42822 - 42820. Let p(w) = -29*w. Let j(a) = -a + 1. Determine x*j(k) - p(k).\nAnswer: 27*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - p - 12 = -4*w, 2*w - p = 8. Let l(t) be the first derivative of 29*t**3\/3 + t**2 - 4*t + 96. What are the prime factors of l(w)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/63, 0.1, 3\/26, -4, 0.09 in increasing order.\nAnswer: -4, -2\/63, 0.09, 0.1, 3\/26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12213 and 72216.\nAnswer: 1660968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 115*x**3. Let o(m) = -22999*m**3. Calculate 6*o(l) + 1199*s(l).\nAnswer: -109*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.84 * 0.0018\nAnswer: 0.001512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -229, -124, -21, 80, 179, 276, 371?\n\"Answer: -d**2 + 108*d - 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p - 45*p**2 + 2*p - 15*p**2 + 196*p**2.\nAnswer: 136*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -r - 6, -3*r - o = o + 18. Let h be (-1)\/r*-2*-633. Let z = h + -127. Round z to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*5*616\/560\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -11*h**2 - 9*h - 9. Let u(n) = -5*n**2 - 4*n - 4. Let f(w) = 4*t(w) - 9*u(w). Let j(s) = -5 - 13*s**2 + 5. Determine j(f(i)).\nAnswer: -13*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 100 + -96. Suppose j*u - 13804 = -25*u. Does 14 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 27*s - 30*s + 26, -10 = 3*s - 4*z. Let m(p) = -p**3 + 4*p**2 - 9*p + 12. Calculate m(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -700594, 1\/4.\nAnswer: -700594, -12, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -14 (b) -0.5 (c) -2 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d - 2*n - 56 - 49 = -111, 4*n - 25 = d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5633453 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (164*g + 3145 - 3145)*(53 - 53 - 17*g**2)*(0*g + g**2 + 0*g).\nAnswer: -2788*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6*(-4)\/60)\/((-1)\/(-10)). Sort 4, f, -2\/5, 3.\nAnswer: f, -2\/5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23305*l**2 + 13892 wrt l.\nAnswer: 46610*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, 700, 2660, 6434, 12616, 21800, 34580?\nAnswer: 51550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j + 47060*j**2 - 94129*j**2 + 47071*j**2 - 2*j.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -i**4\/6 + 59*i**3\/3 - 2*i**2 + 10. Is q(-23) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 12, 6, -8, -30, -60?\n\"Answer: -4*t**2 + 6*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 4*g + 15, -3*a = -2*a - g. Let -8\/9*j**a - 8\/9 - 32\/9*j**2 + 8\/9*j**4 - 28\/9*j + 4\/9*j**5 = 0. Calculate j.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 10 (b) 4\/7 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h - 7. Let v be a(-6). Let k = 4 - v. Calculate the remainder when k is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 1823*q**2. Let k(w) = 21*w + 1. Calculate k(p(y)).\nAnswer: 38283*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24623.\nAnswer: 24623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2223.998 + 2218. Round f to 0 dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 4*b**3 + b**2 - 5*b + 3. Let y(w) = w**2 + 8*w + 14. Let q be y(-3). Let d be -3*((-2)\/(-6))\/(q\/3). What is the tens digit of x(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -166419 divided by 99.\nAnswer: -1681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.447628684 to 4 decimal places.\nAnswer: 0.4476","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 354815331, 354815330, 354815329, 354815328, 354815327, 354815326?\nAnswer: 354815325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 divided by 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*v**5 + 4825*v**3 + 116*v**2 - 10*v - 5140691?\nAnswer: -40*v**3 + 28950*v + 232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((1 + sqrt(3200))*-5*-4)**2 + 0 + 1*sqrt(3200)*-5).\nAnswer: 63600*sqrt(2) + 2560800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 244 = -2*h, 5*h - 141 = -3*p - 6. Does 9 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*u**4 + 34*u**3 + 119*u wrt u?\nAnswer: -24*u**2 + 204*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33 or -4444\/131?\nAnswer: -4444\/131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -541 + 22442?\nAnswer: 21701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of 5*t**6\/56 + 9*t**5\/28 - 3*t**4\/8 - 7*t**3\/2 + 2*t**2 - 3*t. Factor k(r).\nAnswer: 3*(r - 1)*(5*r + 7)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -1. Let o be (-12)\/(-9) + 4\/(-12). Is q greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314 is divided by 159.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (7 + 1) - (1 + -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44 - 136. Let v = i + 60. Let g = -11 - v. What is the remainder when g is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000061653 to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/p**(2\/47))**(-42)\/(p**(-9)\/(p*(p*p**(12\/11)\/p)\/p)) assuming p is positive.\nAnswer: p**(-37287\/517)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1477 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 0) + 11 + ((-2244840)\/196560 - 5\/14).\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29071019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 761925.\nAnswer: 3, 5, 10159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*(m*m**2\/m*m)\/m*m*m)**(-30)*(m*m\/(m\/(m*m**(-7\/6)\/m)))\/m**1 assuming m is positive.\nAnswer: m**(-1087\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 49*t - 706*t + 545566*t**2 - 547356*t**2 wrt t?\nAnswer: -3580","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 33\/9 + (-1)\/(-3). Suppose -3*n = -y*n + 228516. Suppose 4*l - 167482 - n = -t, t + 2 = 0. What is l rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3168211 to the power of 1\/3, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2876*t + 31627. What is i(-11)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 1\/7, 2385\/2, 503 in descending order.\nAnswer: 2385\/2, 503, 1\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7352 by 666.\nAnswer: 3676\/333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3911142 to the nearest integer?\nAnswer: 1978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (646 - 646 - 23*i)*(-i**2 - 3*i**2 + 2*i**2).\nAnswer: 46*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in thirty-one sixths of a week?\nAnswer: 868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - q - 2)*(-17*q - 3*q - 4*q)*(0 - q + 0).\nAnswer: -24*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of s**2\/2 + 2*s + 1. Let a be (4\/(-10))\/(1\/(-15)). What is the units digit of f(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 665 times 34752\nAnswer: 23110080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 13*s + 42. Let d be y(-10). Calculate the highest common divisor of 6 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6*(514\/6 - 0). Let f = -95 - b. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-885)\/(-6785) + 2050\/(-23).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 14) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -194 - 296 - 96*r**3 - 28*r**3 + 701 with respect to r.\nAnswer: -372*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2 = 4*w + 18, -5*w = 5*p + 35. Let c = -7 - -11. Put w, 3, c in descending order.\nAnswer: c, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*r + 8*r + 4*r - 30*r + 7*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 18*s**2 + 18*s - 5. Let x be w(-19). Solve -5*l = 2*t - 12 - 4, l - x = -4*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38*4*(-30)\/240.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a century?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.61 (b) 263 (c) 0.5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 176*o**2 + 2*o + 3. Let p be l(-3). Suppose 0*a - 3*a + p = -z, 0 = z. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 734*k - 44746. Let m be a(61). Factor -8\/3 + 343\/3*f**3 + m*f - 98*f**2.\nAnswer: (7*f - 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -335, -643, -951, -1259, -1567?\nAnswer: -1875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*y = -8 - 28 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of 17*c**5\/12 + 211*c**3\/6 + 252*c**2. Differentiate k(m) with respect to m.\nAnswer: 170*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(16) - sqrt(256)*-2) + (sqrt(144)*1)\/sqrt(9))\/((sqrt(512) - -4*(sqrt(512) + -2*sqrt(512) + sqrt(512) + sqrt(512))) + sqrt(512))*-3.\nAnswer: -5*sqrt(2)\/8 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 51473 a multiple of 219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 - 12. Suppose -5*z = 5*m, 0*m - b = -z - 4*m. Let q = 13 + z. Calculate the least common multiple of q and 11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0012725722043 rounded to 5 decimal places?\nAnswer: 0.00127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-48)\/(-18))\/((-8)\/(-12)). What is the second derivative of -9*t**4 - 6*t - t**c - 3*t**4 wrt t?\nAnswer: -156*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.202 + 0.018. Let t = q + -0.2074. Let v = 0.042 - t. What is v rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 435773 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 10:59 PM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*t**5\/3 - 25252*t**4\/3 + 2045240*t**3 - 18179984*t**2\/3 - 100960*t\/3 + 8080000 = 0. Calculate t.\nAnswer: -1, 2, 250, 6060","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 33 = -2*k. Calculate the remainder when 75 is divided by k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 37855*a**2 + 20. Let i be z(4). Round i to the nearest 10000.\nAnswer: 610000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1476 - 1471. Suppose 5*z + 5*l = 0, -z - z + 28 = -5*l. Suppose 0 = -m*n + 5*b - 8*b - 25491, 5*n = -z*b - 25488. Round n to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-4))\/(12\/(-32)). Let n be (-2)\/(-6) - (-7)\/(-3). Is i < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 19*s - 227. Determine q(-8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -13. Suppose -2*y + 2*b + 3 = 9, -2*y = -b + g. What is the derivative of 3*k**2 - 4 + 7*k**4 - 3*k**2 - y wrt k?\nAnswer: 28*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4949 and 2323.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*t**2 - 2203*t**3 - 10*t**2 + 20*t**2 + 2195*t**3.\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -180.995 and 1892.\nAnswer: -342442.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 322112803?\nAnswer: 322112803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47601 and 44422311.\nAnswer: 5289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6909 and 309.\nAnswer: 711627","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/9, -2\/11, -1, -23.11, 0.2, -18?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 47, -2\/23, -3 in descending order.\nAnswer: 47, 2\/7, -2\/23, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + h = 5183, -5*h + 3507 = 3*z - 393. Let k be -8040*(3 - z\/15). What is k rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19*0.3\nAnswer: 5.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2\/5*o**2 + 0 + 4\/5*o = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -27*l**3 + 5*l**2 + 5*l + 5. Let a(p) = -121*p**3 + 22*p**2 + 22*p + 22. Give 5*a(u) - 22*c(u).\nAnswer: -11*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of 4037*a**8\/336 - 341*a**5\/12 - 3000*a**2. Find the third derivative of c(i) wrt i.\nAnswer: 242220*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.1548779 to 2 dps.\nAnswer: 5.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -45 - -40. Let c = 18 - j. List the prime factors of c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 17088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + h - 9, h - 12 = -3*l - 0*h. Suppose -l*j - j = -3*m + 41, 31 = m + 3*j. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 569247, 569246, 569245, 569244?\n\"Answer: -w + 569248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2 + 12*k.\nAnswer: 2*k*(k + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 40*s**2 - 39*s - 87. Calculate w(41).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (90*-5)\/(0 + (-1392)\/21). Let g = -17\/29 - k. Calculate the common denominator of g and 47\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*x + 42 = -3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(1\/3)*f*f**(2\/31))\/(f\/f**(-2\/7)*f*f**8))**(3\/4))**(-19\/5) assuming f is positive.\nAnswer: f**(54967\/2170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 720 = -4*j, 5*n - 540 = -3*j - 0*n. Let g = 254 - j. Let m = g + -62. Calculate the highest common divisor of 96 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d + 2. Let u be t(5). Let a = u + 11. List the prime factors of 2\/(-1 + 3) + a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 8*z**3 - 1407*z**2 - 196*z + 483. Calculate s(176).\nAnswer: -3037","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 8*n**2 + 4*n - 5. Calculate the remainder when 102 is divided by x(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -6*q**2 + 8*q - 7. Let t(g) = 13*g**2 - 15*g + 16. Calculate 9*r(x) + 4*t(x).\nAnswer: -2*x**2 + 12*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-170*q**2 - 57*q**2 + 71*q**2 - q)*(12*q + 43 - 43) in the form w + v*q**3 + g*q + x*q**2 and give v.\nAnswer: -1872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -5*s**4 + 135*s**3 - 570*s**2 + 440*s = 0.\nAnswer: 0, 1, 4, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 264025 divided by 1475.\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 94 less than -43.73?\nAnswer: -137.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (318\/15)\/(4\/320). Calculate the greatest common divisor of z and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8984*x + 0*x**3 + 17948*x - 8964*x + x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**5 + 16143*o**4 - 21756672*o**3 + 108380160*o**2 = 0. What is o?\nAnswer: 0, 5, 2688","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 8*w**2 + 7*w + 4. Let f(v) = -v**2 + v + 1. Let y(j) = -4*f(j) + g(j). Let h be y(3). Let o(r) = r**2 - 10. What is o(h)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 12 - 2*l**2 - 3*l + 9*l + 3*l. Let w be x(8). Let n be w\/(-22) - 232319976\/(-132). What is n rounded to the nearest one hundred thousand?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -3*g - 1. Let l be t(-2). Let b be (-28)\/105 - 2\/l. Let z be ((6\/90)\/(-1))\/((-6)\/20). What is the smallest value in 1, -4\/7, b, z?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -15*f + 7. Suppose -42 = -6*c + 3*c. What is the least common multiple of c and p(-1)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2411068 (base 9) to base 13\nAnswer: -369848","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13482230 is divided by 11543.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -11\/5*z**5 - 21*z + 0*z**3 - 2 - 25*z**2 + 0*z**4 + 1\/15*z**6. Find the first derivative of x(g) wrt g.\nAnswer: 8*g**3 - 132*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t + 60*t**2 + 48*t**2 - 108*t**2 + 2294*t**3.\nAnswer: 2294*t**3 + 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -4*b + 89, 3*r - 5*b = -r + 63. What is the remainder when 676 is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/16 and -57\/1258.\nAnswer: 10064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 5*y - 18 = -63, 5*y = -2*v + 21. Let j = -8 + 2. What are the prime factors of (v\/(-12))\/(j\/153)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of 13\/30*m**4 + 0 + 1\/75*m**6 - 4\/5*m**3 - 3\/25*m**5 - 5*m + 4\/5*m**2. Suppose f(q) = 0. What is q?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (3 + 3 + 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*q**2*s**2 + 26077*q**2*s + q**2 + 91587*q*s - 3*s**2 wrt q.\nAnswer: 10*s**2 + 52154*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 6*f**2 - 10*f - 21. Let s be y(-7). Suppose -u + 2*u = s, u + 25 = 5*n. Factor 376 - 376 - 80*i**3 + 40*i**4 - n*i**5.\nAnswer: -5*i**3*(i - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.66162 rounded to one dp?\nAnswer: -7.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) 5\/3 (c) -4\/5 (d) -156 (e) 0.2 (f) -19 (g) 10\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o - o**2 - 3 + 2 + 2*o**2. Let v = -14 - -7. Let r(m) = -2*m**2 - 5*m + 2. Suppose -u = 3*s + 13, -4*u + 4 = -5*s + 5. Give s*r(p) + v*n(p).\nAnswer: -p**2 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.01 - 1.99. Let b = 9 + -8.98. Let a = b - j. What is the second smallest value in a, 0.2, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*z + 1. Suppose -120 = -2*u + 4*v - 2*v, -4*v - 130 = -z*u. Let d be -5*(-1)\/1 - 0. What is the greatest common factor of d and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 65?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*l + 50*l - 15 = 3*i - 42*l - 48*l, -3*l - 20 = 4*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y - 9. Let o be i(7). Let c(t) = t + 8. Let s be c(-6). Let z be 46\/11 - 4\/22. Solve -z*d = 6 + s, -5*k + o*d = -35 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 543*r = -40*r + 44863016. What is the thousands digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 - 2 + 0)*(-2 + 2 + o) - o - 2 + 2 + 0*o - 4*o + 5*o)*(-2*o**3 + 0*o**3 + 3*o**3) to x*o**2 + v*o**4 + m*o + u + k*o**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, k: 1, t: 1, s: 1, h: 1}. Give prob of sequence th.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1118145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 85759 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 134340 (base 5) to base 11.\nAnswer: 4227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (231\/847)\/(105\/77)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.01, -0.054, -4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5448 is divided by 67?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s + s - 5 - s**3 + 9*s**3 + 3*s. Let a(o) = o - 1. Let z(n) = -5*a(n) + r(n). Find the second derivative of z(b) wrt b.\nAnswer: 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -19. Suppose 4*h - 3*m + 25 = 1, 5*m - v = -4*h. Which is smaller: -2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1111098 and -23.9.\nAnswer: 26555242.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -16*i - 423. Give h(-12).\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 10, 1\/31, 0?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mu when two letters picked without replacement from mmcfcbu?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99, 102, 103, 102?\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8218 + -2?\nAnswer: 8216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 990.4961 millennia?\nAnswer: 11885953.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -10940.7244 to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13032 - -3?\nAnswer: 13035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 65777.46t?\nAnswer: 65777460000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/(-8))\/((-87)\/464). Solve -q + b*y - 3*y + 3 = 0, -5*q + 3*y = -5 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36718?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0125748 rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2168623 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: Let u(z) = -7*z**2 + 798*z. Let c(m) = 2*m. Give u(c(x)).\nAnswer: -28*x**2 + 1596*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of h**5\/20 - 61*h**4\/24 - 4*h**3 + 85*h**2. Let m be b(23). What is the greatest common divisor of 40 and m?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -436, 13, -4, 1, -1 in increasing order.\nAnswer: -436, -4, -1, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -17, -24, -31?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-52)\/1950)\/(-1*(-12)\/8133415). Let k = 18075 + z. What is the common denominator of k and -40\/9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27357 (base 8) to base 10\nAnswer: -12015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*(-11 + 12)*2\/12. Which is the nearest to -2\/15? (a) -3\/4 (b) 0.1 (c) h (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (22 - 23 - (-3 + 8))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 3*k**2. Let c be m(3). Let j = 1.18 - 0.88. What is the smallest value in j, 2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/18 and -59\/74.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -88*l**4 + 302*l wrt l?\nAnswer: -1056*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -5*c + 38 - 10, 2*c = -v + 6. Solve -c*m + 15 = -m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9758050\/3 < 3252684?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 + -50. Suppose -b = 1, -6*g + g - 111 = b. Let a = g - f. Solve -a*l - 5*x + 4 = 0, 0 = -3*l - 3*x - 0*x for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 1)*(-2)\/4. Suppose -7 - 5 = -4*x. Suppose d - j - 1 = 12, d - 4*j = 25. Solve -x*q = -v*q + d for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*f**4 - 2*f**3 + 41*f**2 - 58*f - 438209 wrt f.\nAnswer: -16*f**3 - 6*f**2 + 82*f - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 24*q**2 - 112*q - 20. Let x be s(-28). Round x to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5*a = 7992, -2*f - 87*a + 83*a = -5328. Is f a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1986312 divided by -4.\nAnswer: -496578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 1 + -5 - (-11 - -5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-58))\/((-28704)\/(-32016)).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 6)*(-6 + 204\/30). Suppose 0 = 5*b + 4*x - 1011, -5*x = 5*b - 0*x - 1010. What is the common denominator of b\/9 - d\/(-18)*-1 and -34\/33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.18, 9\/2 in descending order.\nAnswer: 9\/2, 1, -0.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 5*u = 26, -100085*h - 4*u = -100088*h + 34 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33912 and 15138?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = 8*p - 5*p. Let m be p\/84 + (-220)\/(-7). Solve -3*c + 4*z - m = 0, 22 - 6 = 4*z for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 4*d**2 + 2*d + 2. Let w be a(-3). Suppose -10 + 1 = -z + 3*n, w*z - 33 = 3*n. Let y(h) = 1 + 3 - h**3 + 2*h**2 - h + 4*h**2. Give y(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 2169?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -40*b**2 + 2. Let t(x) = 5*x - 6. Let y(j) = -11*j + 11. Let o(c) = -c + 2. Let w(p) = 3*o(p) + y(p). Let s(i) = -17*t(i) - 6*w(i). What is s(v(q))?\nAnswer: 40*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -7. Let g = -1254 + 1253.9. What is the third biggest value in l, g, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 494 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31967 is divided by 616?\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 19*a. Let v = -9\/14 + 17\/21. Let q(l) be the second derivative of 0 + 0*l**2 + v*l**3 - 13*l. Determine q(s(h)).\nAnswer: 19*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 3*n**3 - 8*n + n - 7*n**2 + 2. Let x be y(-5). Suppose 6*w + 9 - 93 = 0. Calculate the highest common divisor of w and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*f**4 - 126*f**3 + 4925*f?\nAnswer: 192*f**2 - 756*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 8, n: 2}. Give prob of picking 3 y and 1 n.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d + 25. Suppose 3 + 0 = -3*v - 3. Let m(z) = 5*z - 100. Calculate v*m(p) - 9*s(p).\nAnswer: -p - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.8099 + -4.8. Round n to 3 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12\/(-14) + (-241848)\/(-504)?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-1 - (7 + -7))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 - -24. What are the prime factors of (1 + 13\/f)*-15?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180 is divided by 58?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4156b9 (base 13) in base 3?\nAnswer: -2212112010020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrprppccppppdc. Give prob of picking 1 d and 1 p.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1322*k - 8 = 2*i - 1320*k, 3*k = -24 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 410 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**2 + 20*i - 6. Let j be t(-9). Let l be (3\/j + (-30)\/16)*37. Let b = l + 159. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 284 = 9*u - 319. Let j = u - 78. Let v(m) = -m**3 - 12*m**2 - 10*m + 5. Determine v(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.2441225391 to one dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15146 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -18*s**3 - 2*s**2 + 4*s. Give t(2).\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of j**4\/12 - j**3\/2 - 7*j**2\/2 - 5*j + 60. Let u(g) be the first derivative of d(g). Determine u(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 64 - 24. Suppose p - 5*u + 15 = -0, 4*u = -4*p - 12. Let k be -2 + 0\/p + 12. What is the greatest common divisor of m and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 11, d: 1, r: 3, f: 4}. Give prob of picking 1 r and 1 d.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 767*t**3 + 807*t**3 - 3118*t**3 + 767*t**3 + 776*t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 369, -122, 6.\nAnswer: -122, -1, 6, 369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2674 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r - 4. What is k(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 73 and 190738.\nAnswer: 13923874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4 + 0.9. Suppose y + 5 = 2*y. Let l = -199.9 + 200. Which is the closest to l? (a) k (b) 2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 483281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 50299465?\nAnswer: 301796790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 9418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 5. Solve x*a = s + 2*s + 31, -3*s - 5*a = -5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**5 - 135*k**4 - 285*k**3 - 145*k**2.\nAnswer: 5*k**2*(k - 29)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**2 - 2*v - 6. Let m be z(-2). Solve -m = -3*d - 21 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-17)\/n**1)**(-10))**(-1\/4) assuming n is positive.\nAnswer: n**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -5*g + 60, -3*g = 5*s - 43 - 6 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 412*x - 1 + 1 + 151*x + 362*x.\nAnswer: 925*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18149439 is divided by 604977.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 17951001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 0*s - 4*s**2)*(-15*s + 14 - 14).\nAnswer: 60*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -134 - -205. Is v a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -180705 divided by -3.\nAnswer: 60235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - l + 86776 = 30813. What are the prime factors of l?\nAnswer: 191, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 16 (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7155819?\nAnswer: 3, 11, 6571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -4890 less than or equal to 3\/1894?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.00888453 rounded to 0 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 - t**2 - t**2)*((3 - t - 3)*(-2 - 1 + 2) + t + t + 0*t + t - 1 + 1 - 11 - t + 11)*(t**2 + 2*t**2 - t**2).\nAnswer: -18*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/16*5\/(-30)*-6?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4441, -17686, -39761, -70666, -110401?\nAnswer: -158966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1313900351?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 23927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 39 = 13*k + 133 - 68 - 105, 14 = 2*k - 2 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91517 is divided by 88?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 4*d + 18. Let b be h(-7). Let f be (10 + b)*2\/4*2. What is the nearest to -1 in f, 1\/2, 1\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 812 by 8.\nAnswer: 203\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(242) + (sqrt(242) - 3*sqrt(242))**2 + -5 + (-3 + sqrt(242) + 2)**2.\nAnswer: -11*sqrt(2) + 1206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -4 (b) -0.5 (c) 0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 3*f**2 + 2*f + 3. Let r be b(-3). Let o be 0 - r - 3 - 1. Let x be -2*2*o\/1. Solve 4*v = -0*v - x for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9, -71, -175, -321?\n\"Answer: -21*i**2 + i + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -b8d (base 15) in base 12?\nAnswer: -1614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 59329 in 9, 6, -1\/13, 1\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -25, -19, -13, -7, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2324.\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = k - 7, -3*k = -7*g + 2*g + 7. Solve 0 = -3*t - 3*w - 25 + 4, 0 = g*t - 4*w - 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2*sqrt(425) + -1 - (3 + 1*sqrt(425)*-3))**2 + -5.\nAnswer: -50*sqrt(17) + 445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 267*d**2 + 4014*d + 141. Calculate a(-15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 7101*d + 50 - 50 + 5414*d as p + t*d and give t.\nAnswer: 12515","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13*k**4 - 124 + 124)*(0 + 1 + 1 + (1 + 0 + 1)*(0 - 1 - 1) - 1 - 1 - 1 - 2 - 3 + 2) to the form t*k + m*k**2 + j*k**3 + s + o*k**4 and give o.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 5674*j**2 - 10*j - 17. Does 86 divide h(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23\/165 + -3\/11. Let j = -1 + 2. What is the third smallest value in j, k, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153 = 2*v - 5*s, -2*v + 2*s + 2*s - 154 = 0. Let m be 0 + 3 + (-118)\/(-1). Let r = v + m. 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: Expand ((28*o - 28*o + 8*o**3)*(-2*o**2 - 3 + 3)*(1 + 1 - 13) + 2*o**5 + o**5 - o**5)*(3 - 2 + 0).\nAnswer: 178*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 + 39 - 34) + (1 - (2 - -2))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1238*d*o**4 + 9*d*o**3 + 10*d - 955 with respect to o.\nAnswer: -4952*d*o**3 + 27*d*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 83456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -53 + 126. Calculate the remainder when v is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2. Let s(d) = -24*d**3 - 3*d**2 + 1. Suppose 16*p - 30 = p. Suppose 2 = p*m + 8. Let u(y) = m*w(y) - s(y). Differentiate u(z) with respect to z.\nAnswer: 72*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27843, -55689, -83535, -111381, -139227?\nAnswer: -167073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 906116 divided by 1262\nAnswer: 718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 4*w - 53, 3*w - 54 = -4*b + 5*w. Suppose 0 = -b*v + 9*v + 134. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -1)\/((-100)\/(-300))*(-333)\/(-74)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (2 - (-1 + -4 + 1)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 8:52 PM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 5*m - 230, 0*i + 4*i + m - 190 = 0. Suppose 19 = j + 3. Calculate the greatest common factor of i and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -81?\nAnswer: -7\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -189*p + 618. Let t be w(2). What is the highest common factor of t and 1840?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (119\/(22372\/705))\/(3\/((-120)\/(-275)))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -24*d + 20*d, -8 = 2*t + d for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -65.32597 rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9 + (-243)\/(-18))*114\/27. Let b(n) = -n**2 + 22*n - 57. Give b(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1917 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 43225 + -46?\nAnswer: 43157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**2 + 67069*h - 939162 = 0. What is h?\nAnswer: -67083, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 0*r + 20. Suppose 53*d = 60*d - 35. Suppose -d*y - 49 = -69. Solve -5*p = 2*q - r, y*p + 15 = -p + 5*q for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3888 + 361*u**2 + 1074*u**3 - 68*u**2 + 3888 wrt u.\nAnswer: 6444","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2403\/(-486) + 54\/60*5.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/15)\/((-15)\/(-180)). Let g(t) be the first derivative of -10\/3*t**3 + 0*t**5 + 15\/4*t**v + 0*t**2 - 18 - 5\/6*t**6 + 0*t. Factor g(x).\nAnswer: -5*x**2*(x - 1)**2*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 113942?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 2*y = 0. Suppose -a + 3*a - 22 = 4*t, 5 = a. Let v(k) = -4*k - 3. Let f(q) = 7*q + 6. Let r(p) = t*f(p) - 5*v(p). Calculate r(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 0, -11, -20, -21, -8, 25, 84, 175?\n\"Answer: k**3 - 5*k**2 - 3*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10374207 or 2\/61?\nAnswer: -10374207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -206417*f**2 + 29*f**3 - 44*f**3 + 216*f + 206417*f**2 + (7*f - 3*f - 3*f)*(-f**2 + f**2 + f**2) in the form b*f**3 + y*f**2 + v*f + u and give b.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 11, c: 9}. What is prob of picking 3 c?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in 49, -0.1, 5, 2\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*l = -4. Sort l, -19, 1 in descending order.\nAnswer: 1, l, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -275, -528, -769, -992, -1191?\n\"Answer: m**3 - 260*m - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 6 - 4*f - 6*f to k*f + s and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -5*q**3 - 17*q**2 - 70*q - 5. Let n(o) = 4*o**3 + 15*o**2 + 60*o + 6. What is 6*j(m) + 7*n(m)?\nAnswer: -2*m**3 + 3*m**2 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 8 + 7. Solve -s*h = -2*h + 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5 (b) -1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -116*q**5\/3 - 4178*q**4\/9 + 8692*q**3\/3 + 7054*q**2 + 33772*q\/9 + 64\/3 = 0.\nAnswer: -16, -1, -1\/174, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/4*128\/(-20). Let c = t + -14. Suppose -2*s - c*w - 8 = -2, 10 = -2*w. Calculate the remainder when 3 is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(49)\/(sqrt(42)\/sqrt(6)).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2183539 is divided by 37647.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 958997 to the nearest integer?\nAnswer: 979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -2 (b) 0.1 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-675)\/(-520) - (-12)\/(-32) - (-116879)\/(-125788)?\nAnswer: -1\/164","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1603*m**2 + 910*m**2 + 1013*m**2 in the form w*m**2 + f*m + t and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 9) in base 7?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0.5, -2\/11, 11\/5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1302656?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4515*l + 4*l**3 - l**3 + l**4 + 20*l**3 - 4456*l wrt l.\nAnswer: 12*l**2 + 138*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 4:07 AM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*a**2*g*l**3*p + 3*a**2*g*l*p - 37*a**2*g*p - 2*a*g*l**2*p - 2*a*g*p + g*l**3 + 44*g*p wrt a.\nAnswer: 6*g*l**3*p + 6*g*l*p - 74*g*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 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: Which is the nearest to 0.032? (a) 3 (b) -5 (c) -1\/4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8231081 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + -9771958.\nAnswer: -9771959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.7 (b) -0.8 (c) 1.03 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2\/3 + 856*u\/3 - 45796\/3.\nAnswer: -4*(u - 107)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000011264969 rounded to 7 decimal places?\nAnswer: 0.0000113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 3:32 AM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/2 and 73\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 374521 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4499 * -2.\nAnswer: 8998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2379)\/(-468) - (-6)\/(-72). Solve -3*g + 3*p + 7 = 10, 4*p = h*g + 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -5 + 2 + 4*c + 3*c**2 + 1. Let t(q) = -4*q**2 - 5*q + 2. Calculate -3*m(o) - 2*t(o).\nAnswer: -o**2 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of 0*g**3 - 20 + 12*g + 13\/4*g**4 + 0*g**2. Differentiate l(k) with respect to k.\nAnswer: 39*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20015687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005610244 to seven dps.\nAnswer: -0.0000561","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -5. Let p(t) = -t**2 + 1. Let r(z) = 6*z**2 + 2*z - 10. Let s(d) = b*r(d) - 5*p(d). Determine s(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-34)\/16*11083)\/(16\/(-8)). Let z = 11771 - d. Find the common denominator of z and 39\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 40, 55, 74, 97?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 74979 divided by -4\nAnswer: -74979\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 237, 4, -61, -1, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 8:54 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5*(1 + sqrt(432) + sqrt(432) + -4 - (4 + sqrt(432) + -2))**2 + -4).\nAnswer: -3000*sqrt(3) + 11445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 101499\/19 or 5343?\nAnswer: 101499\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.71 + -0.31. Let g = -41 - -44. Which is the closest to -1? (a) 3\/4 (b) q (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of x**7\/2520 - 7*x**6\/720 + x**5\/60 - x**4\/4 + x. Let t(a) be the third derivative of u(a). List the prime factors of t(8).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000087 rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-12)\/(-4))\/(-3)*(-196 + -1).\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*z**4\/7 + 44*z**3 - 450*z**2\/7 + 223*z\/7 - 37\/7.\nAnswer: -(z - 37)*(2*z - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -872, -990, -1188, -1466, -1824?\n\"Answer: -40*a**2 + 2*a - 834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 3*p - 4*p)*(-p**2 + 0*p + 0*p) + (4*p - p - p)*(82 + 60 - 210 - p**2).\nAnswer: 3*p**3 - 136*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1235?\nAnswer: 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -b**3\/3 + 2*b**2 + 2*b - 20. Calculate j(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -15, 2, 16 in descending order.\nAnswer: 16, 2, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -4*s, -3*i - 495 + 2169 = -4*s. Calculate the highest common factor of i and 198.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -230 - -225. Which is the nearest to 3? (a) -1 (b) 0 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10.4 - -9. Let x = -13 - -8. Let v = -0.8958 - 0.1042. Which is the third biggest value? (a) v (b) r (c) x (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1029, 1148, 1267, 1386, 1505, 1624?\nAnswer: 1743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f + 3. Let c be u(6). Let v = -10 + 20. Let r = -7 + v. Put r, 3\/8, c in descending order.\nAnswer: r, 3\/8, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -6. Let y = -70 - -69.8. Which is the nearest to 0? (a) v (b) y (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 549*m**4 - 2*m**3 + 303*m + 2?\nAnswer: 6588*m**2 - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 9 = 5*k. Suppose 60 = 2*o + k*z, 3*z = -o + 4*z + 35. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + (13 - 21) + -9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*j**2 + 4*j**2 - 1 + 5*j**2)*(-3*j**2 + 0*j**2 + 5*j**2) to s*j + y*j**3 + t + i*j**2 + b*j**4 and give b.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 28369068 to the power of 1\/3, to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -465 divided by -3\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hzww when four letters picked without replacement from {w: 3, h: 5, z: 4}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - c - 24 = 0, 2*r + 1 = -c - 13. Let k(p) = p - 2. Determine k(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - (3 + -8)) + 81\/(-27). Let m(l) = -9*l + 29. Give m(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-6) + 1 + (-15)\/(2025\/126)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18)\/(-44)*(-1662012)\/(-770). Let a = 18530\/21 - i. Calculate the common denominator of a and -53\/2.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 4)*(263*k - 15713 + 15713)*(-2*k + 2*k - k**2)*(-k**2 - k + k + (-2*k + 7*k - 3*k)*(-k + 2*k - 3*k) - k**2 + 2 - 2 - 2*k**2 + k**2 + 0*k**2).\nAnswer: -3682*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (2 + -9 + 15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 1.607?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000009975 to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 173526 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (64 - 67) + 1 + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, 0, -3, -1.385, 0.5, -2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 2075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(25)\/((sqrt(20) - sqrt(180))\/sqrt(4))*4.\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 300*y**3 + 2*y - 1. Is a(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -5*o - 24, m - 6 = -4*o - 21. Let b be (-35)\/(-21) + (3 - (-46)\/(-9)). What is the second biggest value in b, 2, o?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -8*q - 24. Let k be s(-7). Let a be 3 - (k\/(-48) - 4\/(-6)). Suppose -3*j - m = -7*j + 1983, 5*j = a*m + 2470. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 9*v - 22. Determine y(-9).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -s - 33. Suppose 5*p - 5*g - s = 4, -6 = -p + 4*g. Solve -d + p*u = 5, u - 4 = d + d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 79*i**3 + 2*i - 2. Let o(v) = 2*v + 4. Let f be o(-4). Let t be (-1)\/f + (-30)\/(-40). List the prime factors of y(t).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/15))**(-4\/13))**(-10\/7) assuming r is positive.\nAnswer: r**(-16\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7}. What is prob of picking 3 v?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 6*y**2 + y + 3. Let l be w(6). Let n = 22 - l. Put n, -4, 4 in ascending order.\nAnswer: -4, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + u + 6 = 0, 4*n + 104 - 32 = -8*u. Let h(i) = 2*i**2 + 2*i**3 + 2*i - 3*i**3 + i**2. Give h(n).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129027 is divided by 588.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2679, -5358, -8037, -10716, -13395?\nAnswer: -16074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 528217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-15)\/5)\/(-1) - 1. Solve -1 = -v*q - 5*b, 7*b - 5 = 2*b for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by -14.\nAnswer: 9\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p - 41. Let m be o(21). Is -3 at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*d + 8*d - 81 = d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.352*54\nAnswer: -19.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 4. Let a be -4*(s - (-9)\/(-3)). What is the nearest to 2\/5 in -2, 0, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57531644 to the power of 1\/2, to the nearest integer?\nAnswer: 7585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 833755969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, v: 4, h: 1, d: 3, j: 1}. Give prob of sequence tvh.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11*(-28)\/2002*-13.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 19 - 14*h**3 + 3*h + 13*h**3 - 1 - 4*h**2 = 0. Calculate h.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 737586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1967.\nAnswer: 7, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 64.54 + -68.54. What is the second biggest value in 64, -5, u, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3933*b + 756 = -3969*b for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22043681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 951443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**2 - 31*q - 21*q + 190*q - 169 - 19*q - 42*q - 21*q.\nAnswer: q**2 + 56*q - 169","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -368*z**3 - 445 - 2*z + 183*z**3 + 5*z**2 - 891 - 3*z**2 + 182*z**3 to the form j + c*z**2 + n*z**3 + h*z and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 953 a factor of 101984342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 90*g**2. Let s(p) = -3737*p - 2. What is s(x(b))?\nAnswer: -336330*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 876 divide 4529067168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -5*x**2 + 12*x + 9. Let t(y) = 3*y**2 - 7*y - 5. Determine -6*b(d) - 11*t(d).\nAnswer: -3*d**2 + 5*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 130\/35 + 8\/28. Solve -t + 7 = a - 3*t, -u = -2*a - t for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1\/5 + 495\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188649059?\nAnswer: 23, 71, 115523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + -12 + 28 - 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40 or -1\/4?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 11:45 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -6. Let t be (-10)\/8 - (-4)\/16. Let o(s) = -s - 1. Let w(l) = -3*l - 7. Let c(b) = t*w(b) + 2*o(b). Give c(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o = 4*v + 2*o - 37, -5*v = 4*o + 5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-70)*(-5)\/((-15)\/(-9))\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 27*h**2 + 228*h + 6734. What are the prime factors of m(-36)?\nAnswer: 2, 16759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3871243 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29.5 + -29.4. Let f = -0.4 + 1.4. What is the third biggest value in 0.2, f, j, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 1 + -2 - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -863*w - 31*w + 26*w - 476*w as m + o*w and give o.\nAnswer: -1344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.081 - -0.219. Which is the nearest to 0? (a) r (b) 1\/3 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4*l - 196. Let g be n(48). Is g less than -36\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((m\/((m\/((m**(-3)\/m*m)\/m))\/m)*m)\/m*m)\/m)\/(m**0*m*m))**(-3\/13))**10 assuming m is positive.\nAnswer: m**(150\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 6*a**2 - 3*a - 7. Let n be p(-6). Let y = n + 8. Suppose -17*l + y*l = 290. Does 15 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 minus 0.14929054?\nAnswer: -11.14929054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 106 + 137. Suppose -245*k + w*k + 1092 = 0. Calculate the highest common factor of 156 and k.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88 is divided by 80.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 981 is divided by 243?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -175 + 190. Solve -3*q = -8*q + y for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 75234420 + -36234420. Suppose -5*n + p = -0*n. Round n to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(99)*-5)\/(5*2*sqrt(9)).\nAnswer: 3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**2 - 261*n + 2220. Let d(r) = -2*r**3 - 7*r**2 + 9*r + 1. What is the remainder when d(-6) is divided by u(9)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38571136 divided by 17824?\nAnswer: -2164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8572384 days in hours?\nAnswer: 20.5737216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.04 and -68?\nAnswer: 65.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**3 - i**3 + 0*i**3 + i**3 - 15*i**2.\nAnswer: i**3 - 15*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 67293 less than 67294?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - y + 27. Let v be o(0). Suppose -2*t + v = 5. Calculate the highest common factor of t and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 10:50 PM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 546 + 208. Suppose -11*r = 2*r - l. What is the remainder when 230 is divided by r?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/559427 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271902 is divided by 288?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -15302975 divided by -85\nAnswer: 180035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mlrllrurlelu. Give prob of sequence lruu.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -66573076*z**2 + 59905*z + 1752?\nAnswer: -133146152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 3:30 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -13224052\nAnswer: 1\/6612026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -60, -955, 5 in decreasing order.\nAnswer: 5, -60, -955","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -41? (a) 11 (b) -0.38 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18518569037 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 6685?\nAnswer: 6680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/13)*f*f)\/f*f**(-1)*f)**(-1\/26)*(((f**(-7)\/f*f)\/f)\/(f\/f**(1\/12)*f*f))**(-45) assuming f is positive.\nAnswer: f**(332055\/676)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/80*7\/((-84)\/(-8))*(-558)\/45.\nAnswer: -31\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*q**2 + 5*q**2 - 8*q**2 to f + u*q**2 + c*q and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*u + 1 - 1)*(-3 + 5 - 1)*(9 + 4 - 4) to the form f*u + h and give f.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1028*j = -1091*j + 1134 for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37 and 277463?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 10 = -9*b. What is the common denominator of b\/7 - (-942)\/112 and (6\/(-4))\/(27\/(-92))?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 180.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*y + 19103*n + 120 = 19107*n, 90 = 3*n for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1917862703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.745029, -0.2, -660, 2?\nAnswer: 0.745029","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 5*u - 1. Let a(s) = -s + 1. Let p(z) = -2*a(z) - m(z). Let o(v) = 120*v - 24. Let w be o(6). Let q = w + -699. What is p(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 + -80. Let g = q + 87. Let y = -29 + g. Which is the fourth smallest value? (a) -2\/9 (b) -2 (c) -0.3 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(1 - 2) + 0. Let o = 42 - -14. Let m be (-12)\/(-189) + (-16)\/o. What is the closest to v in m, -0.2, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -4 + 3676*q**3 - 2*q**2 + 6 + 288*q**3 - 5*q - 29*q**3. Let z be (24\/(-20))\/((-2)\/(-10)). Let f be b(z). What is f rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19168 - 18040 = 47*w for w.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187 is divided by 43.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1677 and 570008.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-5\/4)*(i\/(i\/(i*((i**(2\/33)*i)\/i)\/i*i)))\/i)**(-1\/4)\/((i\/i**(-2\/3))\/(i\/(i**(5\/3)*i))*i**(-9)*i**(-3\/7)) assuming i is positive.\nAnswer: i**(22703\/3696)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -98, -113, -138, -179, -242?\n\"Answer: -m**3 + m**2 - 11*m - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3*d = 2*i + 6, 0 = -3*d + 15. Let x = -108 - -107.5. What is the second biggest value in -2, x, i?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1770*d + 3558*d - 1787*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -134 (base 5) to base 7\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 e when three letters picked without replacement from {e: 2, o: 1, v: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(320)*-4 - -1*sqrt(45)*6)*-2*-5.\nAnswer: 820*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26 or -0.708?\nAnswer: -0.708","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - (371\/13 + (316 - 325))?\nAnswer: -7\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-108)\/2*(-43)\/387)\/(14\/4).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3969 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, -44\/24091, -2\/5 in descending order.\nAnswer: 3\/4, -44\/24091, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003959754 rounded to 7 decimal places?\nAnswer: 0.0000396","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58.57415 - 9.38.\nAnswer: 49.19415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2529*d**3*o**2 - 149*d**3 - 5*d**2*o**2 - 3*d**2*o + 274*o wrt d.\nAnswer: 15174*o**2 - 894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 127589 + -127589.54101. Round i to two decimal places.\nAnswer: -0.54","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 + 21. What is the units digit of (n\/(-2))\/((-5)\/(-60))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20? (a) -0.2 (b) 42 (c) 1\/4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-4) - (-81)\/18. Let t(s) = s**2 - 8*s + 4. What is t(y)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -54*k**4 + 2*k**3*r - 28*k**3 + 37814*r wrt k.\nAnswer: -216*k**3 + 6*k**2*r - 84*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1125453 - -34020?\nAnswer: 1203513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1427290 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 30851 - 10?\nAnswer: 30841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 8378936.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -1\/3 (c) 0.4 (d) -1 (e) -1007 (f) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*n - 241747 = -35762. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -n + 5, -s + 27 = 5*n. Suppose 5*p = -2*f + 44, -s*p + p - 4 = 0. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 156715*l**3*z**2 + 2*l**3*z - 13760075*l*z - z**2 wrt z?\nAnswer: 313430*l**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12374315.07 less than -0.7119?\nAnswer: -12374315.7819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bbbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 107730 and 11286.\nAnswer: 1185030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2122241\/75 + -28297. Let l = y + 3\/25. Which is bigger: -2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 10:39 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**2\/d*d)**(-42)*(d*(d\/d**(3\/10))\/d*d*d*d*d)\/(d*d\/(d*d**(3\/7))))**(1\/10) assuming d is positive.\nAnswer: d**(-8531\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - v + 16. Let n be c(-10). Suppose n = 2*q - 3*z - 373, 2*z - 10 = 0. List the prime factors of q.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.6 - 4. Suppose -m + 489 - 485 = 0. Which is the nearest to 0.1? (a) i (b) m (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z + 4*z**3 + 2*z - 3*z**3. Let q(c) = -5*c**3 - 2*c**2 - 6*c. Suppose -r - 5 = 0, -r = -3*m - 2*r + 13. Determine m*t(j) + q(j).\nAnswer: j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0)**(-39)*q**(-6\/7)*q**(7\/4)*q assuming q is positive.\nAnswer: q**(53\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.615 - 257.42454\nAnswer: -258.03954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1023616 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2159*a + 2987*a - 826*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g + 0*g + 5*g + (-8*g + 9*g + 10*g)*(2 - 4 + 1) + 5*g - 2*g - g - 1 + 1 - g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -149, 15708, 3, -3\/2, 4 in descending order.\nAnswer: 15708, 4, 3, -3\/2, -149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1 and 205 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 515 (b) -2 (c) 0.1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17526 and 184.\nAnswer: 70104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(12) - sqrt(48)*3)*-5)\/((sqrt(32) - (sqrt(32) + (sqrt(96) - sqrt(96)*-2)\/sqrt(3) + sqrt(32)))\/sqrt(8)) + -5 + 2.\nAnswer: -25*sqrt(3)\/4 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2712, 2698, 2684?\nAnswer: 2670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7 (b) -1 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vulubbbfbwub. Give prob of picking 1 f and 1 v.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n - 9. What is the remainder when 38 is divided by g(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1025, 1180, 1335, 1490, 1645?\n\"Answer: 155*k + 870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.569981 - -1.8799812. Let p = -0.31 + s. Round p to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j + 8*j - 4*w - 372 = 0, -w = -4*j - 372. What is the tens digit of (-2 - -1)\/(j\/95790)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2139 and 736?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -241, -0.16, -0.6?\nAnswer: -241","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 4*x - 5*l, 42*l - 2 = 2*x + 38*l for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42 - 419\/10. What is the nearest to l in 1, 0.1, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 320 divide 340297280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((660\/45)\/(-22))\/((-8)\/(-2100)*-7)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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: Let p = -1419\/4 + 357. Suppose 0 = k - 3*l + 10, 1 - 11 = -k - 2*l. Which is bigger: k or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 8 + 2*r - 18 - 3*r + 2*r + 0*r. Let j = -5 + 19. Let s be k(j). Solve -z = 3*p + s, 5*p - 2*z = z - 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6.45008 times -0.4\nAnswer: -2.580032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36992481?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i**2. Let k(a) be the first derivative of 359*a**3\/3 - 1347. What is h(k(w))?\nAnswer: -257762*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 24453421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5457 + 12993 = 205*f. What is the greatest common divisor of 13890 and f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30816 = 20*p - 103*p - 238*p for p.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*f + 2170 + 775. What is the remainder when f is divided by 44?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14\/3 + 5\/15. Suppose -4 = q - z*q. Suppose 0 = t - q. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/3, 0, -8, -51, 0.0118, -0.1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 33 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/5)\/((-15)\/25)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32\/21 + 83\/105. What is the common denominator of 77\/54 and u?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/8)\/(m\/((m**(-2)\/m)\/m)))\/(m**(2\/9)*m*m)**(1\/43) assuming m is positive.\nAnswer: m**(-15253\/3096)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 8:43 AM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 5. Suppose -u*s = -8*s + 80. Solve -4*g + s = 2*n, -4*g + 2*n + n = -6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1134\/330)\/(-9) + 4*2\/40. Which is the fourth biggest value? (a) 0 (b) -1 (c) w (d) -3\/7 (e) -0.109\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-10 - -2)*-6. Let s = 9435 + -113333\/12. Find the common denominator of 1 - w*69\/(-90) and s.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1636.6419 to the nearest 100.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12333 = 58*f - 164364 - 38309. List the prime factors of f.\nAnswer: 11, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38.4 + -38. Let d = -8507\/35 + 243. Which is the nearest to 0.1? (a) -1 (b) d (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 156, 297, 440, 585, 732, 881, 1032?\nAnswer: 1185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -98507*v + 130381?\nAnswer: -98507","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35 - (-12 + -4 + -25)) + (-27 - 1).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 6*j**2 + 6*j + 4. Let c = 5 - 0. Let b be s(c). Let g = b + -3. What is the greatest common divisor of 24 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 a factor of 13604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 148, -2\/5, -4, 2\/11 in decreasing order.\nAnswer: 148, 2, 2\/11, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156980 is divided by 190.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -103202?\nAnswer: -103210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -41413 (base 5) in base 11?\nAnswer: -2065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of r**5\/20 + r**4\/4 - r**3\/2 + 2*r**2 - 3*r. Let k be j(-4). Solve k = 3*z - 2 - 7 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -4*z + 96, -111 = -0*z - 5*z - 2*q. What is the remainder when (-365)\/(-4) + (-2)\/8 is divided by z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1156\/13 + 4182\/13*q - 480\/13*q**2 + 14\/13*q**3.\nAnswer: 2*(q - 17)**2*(7*q - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 + 0)\/(4\/(-3)). What is the third derivative of -6*r**3 + 30*r**2 - 7*r**2 - 12*r**z wrt r?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28285106 to the nearest integer?\nAnswer: 5318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*f - 1061 = -277*f + 1018 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, 37, 173, 359, 589, 857, 1157?\nAnswer: 1483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a - 2*a + 348*a**3 - 140*a**3 - 169*a**3.\nAnswer: 39*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/((6\/(-918))\/(-1)). Suppose -3*b = -g + w, g = -5*b - 0*b + 161. Does 12 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 91 = 21. Solve 0 = 5*f + 3*r + i, -6*f = -2*f + 3*r + 10 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -96*c*j**2*m**2 + 55141*c*j**2*m + 8221*j**2*m**2 + 5*j*m**2 - 150*m**2 wrt c.\nAnswer: -96*j**2*m**2 + 55141*j**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 116 = -248. What is the greatest common factor of s and 550?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*t)*(85 - 33 - 691).\nAnswer: -1278*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (29 - 78*a - 57 + 28)*(-138*a + 1495 - 1495) to the form o + z*a**2 + t*a and give z.\nAnswer: 10764","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 59*y + 7. Give s(4).\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, -1.5, -5, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/1422 and -19\/1580.\nAnswer: 14220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from zszzsslz.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 - 7*a - 2. Let o be i(-6). Suppose o*c = -4 - 0, 8 = -f - 3*c. Let m = 1838.3 - 1838. Put -1, m, f in descending order.\nAnswer: m, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (-2 - 0)) + -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.02 + -0.28. Let k = j - -0.7. Let d = 0.2 - k. Which is the nearest to -0.1? (a) -0.4 (b) d (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7084955.\nAnswer: 5, 137, 10343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 1610287*t + 1352173*t + 0.\nAnswer: 2962460*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 21144650.\nAnswer: 21144652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/(75\/51) - -3. Let u be 12\/(-2)*-4*(-5)\/(-180). What is the closest to u in -1\/2, b, -0.8?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1063350 is divided by 12510?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 12*p + 19. What is w(10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*f - 1153 = 8499. Do -508 and f have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 213 = 4*q. Let z(w) = -26*w - 307. Let v be z(-26). Let r = q + v. 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: List the prime factors of 215499.\nAnswer: 3, 29, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5\/3 (b) -3738 (c) 73 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 470*m - 7 - 21 = 498*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -g**5\/10 - 9*g**4\/8 - 63. What is f in l(f) = 0?\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*h + 7*b + 53, 5*b - 25 = 9049*h - 9047*h for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-4 + 1 - 0)) + -6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8896172 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 48755.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(1 - 4\/10) + 3. Is (-1973)\/d*28\/14 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4*p - 6*q + 8, 0 = -3*p - q - 6. Let w be 1 + 4 + 0 + -3. Let i(t) = -3*t**2 - 4*t**2 + 3*t**2 - 3*t - 1 - 3*t**3 + 0*t**w. Give i(p).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -27*h**3 - 11*h**2 - 24*h - 27. Is 64 a factor of v(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + -0.5. Let d = 1 + w. Let l = d - 0.6. Sort -3, l, 0.1.\nAnswer: -3, l, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2059 - -1675?\nAnswer: -494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -25986 (b) 0.3 (c) 0.01 (d) 12 (e) -2\/11 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b**2 - 3*b**2 + 2*b**2 + b)*(5*b - 5*b - 2*b) in the form y*b**2 + l*b**3 + k + o*b and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + 9*c + 93. Let o be y(10). Suppose -o = 3*m - 224. What is the least common multiple of 9 and m?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-35)*5*2\/(-10)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -67 - -69. Let r be (g\/3 - 0)\/(22\/1683). What is the highest common divisor of r and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l**3 - 14*l**2 + 21*l - 128. Let y be t(10). What is the highest common factor of 290 and y?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - 72*x - 1297. Let r be s(-15). Let g be (-12)\/(-9)*(-3)\/(-2). Solve -g = 6*h - r*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i - 83 = 77. Suppose -w + 384 = 2*w - 5*h, 5*w + 3*h = 606. Let a = 235 - w. Calculate the greatest common divisor of i and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -7 - ((-24 - (2 + -47)) + -39)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (120*w**2 - 17*w + 16*w + 238*w**2 - 5)*(-w - 2*w - w).\nAnswer: -1432*w**3 + 4*w**2 + 20*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 + 32. Solve h + p = -h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -285, -1161, -3283, -7191, -13425, -22525, -35031, -51483?\n\"Answer: -90*c**3 - 83*c**2 + 3*c - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -5*i**5 + 35470*i**4 + 284000*i**3 + 568160*i**2 = 0.\nAnswer: -4, 0, 7102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k + 0*k + 2*k + (k - k + 2*k)*(4 - 5 + 3) + (-3 + 1 + 8)*(4*k + 2*k - k).\nAnswer: 36*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 68103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 95fa + -1c?\nAnswer: 95de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 5*g**3 - 7*g**2 - 2*g. Let o(i) = -13306*i - 3*i**2 + 9*i**2 + 0*i**2 + 13307*i - 4*i**3. Calculate -4*o(x) - 3*w(x).\nAnswer: x**3 - 3*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*v + 161 - 76 - 80 in the form o + q*v and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 7:54 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1634 and 646.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -83 + 201. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 8:05 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -29*x - 168. Let d be b(-6). Let o = 1 + 123. Suppose 0 = f - d - o. Does 26 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 25*h**2. Let d(v) = -157333*v**2. Calculate g(d(p)).\nAnswer: 618841822225*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.2011356+-0.00584718\nAnswer: 0.19528842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 2*p**3\/3 + 83658*p**2 + 2624456032*p - 7873619072\/3 = 0.\nAnswer: -62744, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-105 - -109 - (-66)\/(-15)) + (2 - 1).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -506408?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 77629294 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 56 - 33. Calculate the remainder when 91 is divided by z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14239 (base 11) to base 2\nAnswer: 100111100011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 311 + -177. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 78 + 575. Let p = q + -568. Which is bigger: p or -0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-504)\/192)\/((-6)\/4)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 10*t**2 + 2*t + 12. Let c be a(-10). Let m(h) = 40*h**2 - 6*h + 9. Let f be m(c). Suppose -v = f + 183. Round v to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zeezeeeeee. What is prob of picking 3 e?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -204314*c**2*k**2*o - 5*c**2*k*o**3 + 147*c*k**2*o - 207*c*k*o + c*o + 6*k**2*o**2 + o**3 wrt c?\nAnswer: -408628*k**2*o - 10*k*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24 - -15) + 14 + (2 - -12) + 0?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*y + 2 + 38 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/(-14) + (-516)\/(-42).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 974909048?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-11)\/(m**(-33)\/m))\/(m**(-6)*m\/m**(-1\/23)) assuming m is positive.\nAnswer: m**(643\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.99 or 0.19?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 100230 + -59489. What is the hundreds digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 8:52 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45 + -27. Solve -2*f + 2*t = -0*t + u, 5*f = t - 29 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f**4 + 99*f**3 - 103*f**3 - f**2 + f**4 in the form i + a*f**4 + n*f**2 + u*f**3 + d*f and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*f + 8*f + 414. What are the prime factors of f?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5*p = -26 - 8, 2*q + 4*p = 30. Let l(y) = -14*y - 9*y + 39*y - q*y. Let h(m) = -m**2. What is l(h(f))?\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 10*b - 6. Let c(x) = -10*x + 7. Determine 4*c(u) + 5*i(u).\nAnswer: 10*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -62 + 92. Let w = a - -14. Does 15 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 695.1 - 695. What is the closest to v in -0.4, 4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.23 or -697474?\nAnswer: -1.23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.4 + 6.5. Which is the nearest to 0.04? (a) 0.3 (b) n (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 3*m + 53, 4*m = 2*i - 5*i - 38. What are the prime factors of (-45)\/2*i\/21?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -5*d + 7. Let w(y) = -6*y + 6. Suppose 4*z - 27 = -11. Calculate z*g(n) - 3*w(n).\nAnswer: -2*n + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-138)\/92 - (2 + (-513)\/2). What is the greatest common divisor of s and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 7*s. Let x(y) be the first derivative of -8*y**3\/3 + 287. What is d(x(t))?\nAnswer: -56*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1442 a factor of 311559126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*(-1*sqrt(78) + sqrt(78))*-6)\/(-6*3*sqrt(216)*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -11100001?\nAnswer: 11011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2. Let g(t) = 2*t**3 - 6*t**2 + t - 3. What is g(n) - 6*r(n)?\nAnswer: 2*n**3 + n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*w**2 - w**5 + 2*w**5 - 6*w**5 - 16*w**5 wrt w?\nAnswer: -1260*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -926 + 1320. Solve 399*i = v*i + 25 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 5:20 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42936.6 + -107103641.\nAnswer: -107060704.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 274 and 2326344?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3506 + -2216. List the prime factors of t.\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*x**3 + 179194*x**2 + 141888*x + 14936 = 0 for x.\nAnswer: -2\/3, -1\/8, 3734","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - (3 - 5 - -3). Let n(b) = g*b + b + b - 2*b. Let c(d) = -2*d. Determine c(n(u)).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/3223958 and 35\/999.\nAnswer: 87046866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 928?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -9*n**2 + 5*n - 4. Let s be w(2). Let r = -35 - s. Let b(k) = k**2 - 2*k + 11. Is b(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21504222353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 16) in base 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 974566.8ng to kilograms.\nAnswer: 0.0000009745668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**7*(g**(1\/48)\/g)\/g*(g\/((g*g\/(g\/g**(-14)))\/g))**(2\/3))**4 assuming g is positive.\nAnswer: g**(769\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 12*s + 11 = -10*s, 4*s = -8 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 14*b + 1 + 8 - 9. Let u(i) = -i**2. Determine f(u(y)).\nAnswer: -14*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + 0. Suppose 0 = v*q + 3 - 12. Suppose -55 = -46*u + 41*u. What is the remainder when u is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 333 and 1359.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 45 - 26*k + 92 + 42 - 10. Let u be i(6). Solve -12*b = -u*b - 4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 866b (base 12) to base 3\nAnswer: 202021002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 2*l**2 + 6*l - 3. Give w(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -532 - -3650. List the prime factors of x.\nAnswer: 2, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 5. Let m be 15\/1 - q\/1. Suppose -4*f = -f - m. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, j: 3, r: 1, k: 4}. What is prob of sequence kkj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -8 - (-832 - -811).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255184277.\nAnswer: 101, 2526577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q. Let j(v) be the third derivative of 0*v**4 + 0 - 2*v**2 + 0*v**3 + 0*v + 1\/20*v**5. What is j(t(w))?\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 8*b**2 + 10*b. Calculate the lowest common multiple of 7 and v(-5).\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 16 + 0*k - 8*k - k**2.\nAnswer: -k**2 - 8*k + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, e: 1, a: 2, q: 1, r: 1, f: 1}. What is prob of sequence are?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -15, -23, -29, -33?\n\"Answer: u**2 - 11*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 654*b - 681*b - 1 + 1.\nAnswer: -27*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jiu when three letters picked without replacement from {u: 2, j: 1, i: 1, q: 4}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - q**2 + 0)*(-q + 2*q + q) - q**3 + 0 + 0 + 465*q**3 + 37*q**3 - 835*q**3 + (-q**2 + 4*q - 4*q)*(-2*q + 3*q + q).\nAnswer: -338*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**3\/5 + 2*k**2 + 16*k\/5 + 8\/5 = 0. Calculate k.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 263704170?\nAnswer: 2, 3, 5, 17, 517067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -4. Let z = 8149\/11 - 741. Sort -0.5, g, z in ascending order.\nAnswer: g, -0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 290, 1230, 2816, 5048, 7926, 11450?\nAnswer: 15620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 + 580417065?\nAnswer: 580417131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.04 + 6. Let u = 0.36 - o. What is the biggest value in -5, 3, u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.02821ug to tonnes.\nAnswer: 0.00000000007102821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -4561180\/43 and -106074 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 250 - 170. Let l(q) = -62*q - 600. Let z be l(-10). What is the greatest common divisor of t and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128\/(-40)*(-115)\/276.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -50 (b) -134 (c) 1\/7 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 476834509?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*h + 169 + 59 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 20*m - 540 = 0. Suppose 30*a = 40*a - m. Factor 0*g + 1\/3*g**2 - 1\/3*g**a + 0.\nAnswer: -g**2*(g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g - 5, -7*v + 25*v + 47 = 25*v - 0*v + 2*g for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-312)\/(-24))\/(-975)*(-81)\/9.\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 4*c - 26, 0 = -4*k + 4*c + 19 - 3. Let q = -5 + k. Suppose 5*b - 3*m = m + 9, m - 4 = 0. Solve -b = y - q for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*d**2 - 4*d + 4*d)*(-46*d + 6*d - 13*d) + 4*d**3 - 7*d - 2 + 7*d)*(d**2 - 2*d**2 + 0*d**2).\nAnswer: -110*d**5 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 15652424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 103729?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*i**3 - 7*i**2 - 11*i**3 + 7*i**2.\nAnswer: -26*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32.77 - -5187.23. Let k = i + -5215.423. Let p = k + -4.81. Round p to two decimal places.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 495666218 to the power of 1\/2, to the nearest integer?\nAnswer: 22264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*m + 50*m + 122 = -i + 6*i - 51*m, 0 = -53*m + 159 for i.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1138940 - 14*f**2 + 1138940 - f.\nAnswer: -14*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 5\/15*24\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-4)*(l\/(l**(-1\/4)\/l*l))\/l*l**(-2)\/l*l\/l**(-2\/9) assuming l is positive.\nAnswer: l**(-199\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 73897848 divided by -8\nAnswer: -9237231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6174.107 milliseconds in microseconds?\nAnswer: 6174107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 1:15 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 308 = 4*h + 763, -179 = -2*f + h. Suppose -5*x = 25, -5*v + 7*v - 80 = -2*x. Calculate the remainder when f is divided by v.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/3 and -38\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -31049.8 times -3\nAnswer: 93149.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 549 is divided by 347?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-640)\/(-56) - 6\/14. Let d(n) = n**3 - 11*n**2 + 2*n - 2. Calculate the lowest common multiple of d(f) and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5\/5)\/((-1)\/(-3)). Suppose 7*c - r*c = 4980. Let w = -863 + c. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.079 * 3.52\nAnswer: 0.27808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 240 (base 9) to base 13.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11044 is divided by 5510.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21149, -42165, -63181, -84197?\nAnswer: -105213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158 - 36 = -8*v + 158 for v.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.13791 * 187.\nAnswer: 25.78917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 40\/25*(-5)\/(-2). Let z(f) be the second derivative of 1\/2*f**3 + 0 - 3\/2*f**2 - 10*f. Calculate z(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4243 - 33410?\nAnswer: -24112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -258.7 - -270. Let j = 11.1 - x. Is -1\/4 < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of -2609*m**5\/30 + 2261*m**3\/6 - 3*m**2 + 631*m. What is the first derivative of r(s) wrt s?\nAnswer: -10436*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1495, 2935, 4313, 5599, 6763, 7775, 8605?\n\"Answer: -5*d**3 - d**2 + 1478*d + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*a + 151 - 39. Suppose -3*v - a = -19. Calculate the lowest common multiple of 240 and v.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 divided by -21765.\nAnswer: -61\/21765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**(2\/11))**35)**(9\/4))**(-27))**14 assuming v is positive.\nAnswer: v**(-59535\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -9. Let m = 82 - l. Suppose -x + 36 = 2*w, 8*w = 3*w - 2*x + m. What are the prime factors of w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/5 - (-104)\/20. Suppose 0 = 4*w - 0*w + f - 2, 0 = -5*w + l*f - 10. Which is smaller: w or 11?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -212*l - 5 + 8 - l**2 + 0 + 35*l - 1.\nAnswer: -l**2 - 177*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1695450 divided by 6.\nAnswer: -282575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -568.4 + 568.3. Are -9\/65 and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qiq when three letters picked without replacement from {r: 2, q: 2, j: 3, i: 1, l: 6, p: 5}.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 4*r. Let y(k) = 5*k**2 - 5*k + 3. Let q(v) = -7*v**2 + 4*v - 2. Let t(m) = -3*q(m) - 2*y(m). Determine t(s(c)).\nAnswer: 176*c**2 - 8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -219 - -1308. Calculate the greatest common divisor of 9 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/168 and -53\/152.\nAnswer: 3192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -62 - -57. Put y, 15, 0, -1 in increasing order.\nAnswer: y, -1, 0, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14\/2487 + 167245\/109428. Let k = 14\/11 - p. Sort k, 3, 5, 2\/7.\nAnswer: k, 2\/7, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -110126104*v**3 - 605330600*v?\nAnswer: -660756624*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1600 = 4*f + f. Suppose l - 6*l = -f. Calculate the greatest common factor of l and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6404565 is divided by 3091.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 31433*u**2. Let k(h) = -8817*h. What is k(f(a))?\nAnswer: -277144761*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 751 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 3, h: 13, p: 1}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 + 226172.971.\nAnswer: 226173.371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18587731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 4:36 AM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xtxxwxxxxxttwxww. What is prob of sequence tw?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -53766, -53779, -53800, -53829, -53866, -53911, -53964?\n\"Answer: -4*v**2 - v - 53761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 146b03 (base 12) in base 5?\nAnswer: 41444411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of 1049*h**5\/60 - 7165*h**4\/24 + h**3\/6 + 700*h**2. What is the second derivative of w(r) wrt r?\nAnswer: 2098","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 31 (c) 0 (d) -1\/6 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - w**2 - 76*w - 576. Calculate n(12).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - n - 102 = 2*x, 5*n - 186 = -2*x. Suppose 5*d - 67 = 28. Calculate the remainder when n is divided by d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/1267, 1386, 32.\nAnswer: 4\/1267, 32, 1386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -5*y**2 + 8812 - 7*y**3 + 8819 - 17636. Let p be 6*((-1)\/(-2) + 0). Let h(j) = -4*j**3 - 3*j**2 - 3. Calculate p*v(r) - 5*h(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r - 2*r - 7*r + (-2*r + 3*r + r)*(-5 + 4 + 3))*(-12*r**3 - 20*r**3 - 9*r**3) + 0*r**4 + r**4 - 3*r**4.\nAnswer: 39*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7244649.\nAnswer: 3, 107, 7523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 12*i - 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6615271 + 301?\nAnswer: 6615572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 d when four letters picked without replacement from {d: 2, o: 3, n: 7, g: 7}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 246618094909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53865?\nAnswer: 3, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4434, 3, 1, 4.\nAnswer: -4434, -5, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 5, -5, -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 2 (c) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/6 (b) 0.2 (c) -0.26 (d) -25 (e) 5 (f) 1884\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zttvtwttzwvzlzztlztz. What is prob of sequence vl?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 125120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*((-20)\/(-10))\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -0.0615.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -25.048 times -134\nAnswer: 3356.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -100011001 (base 2) to base 11\nAnswer: -236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xuxcuuuuxcxucc. Give prob of picking 2 u.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*p - 847 = -121*p + 1664 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-3\/4)*(m**(2\/3)*m*m)\/m*m**0*(m\/(m\/(m\/(m\/(m**(-1\/6)*m))*m)))\/m assuming m is positive.\nAnswer: m**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1307190.2 and -0.6732.\nAnswer: 1307189.5268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*a + 33 = -3*p - 178*a, a + 4 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 2*k + 165. Suppose 5*n + k = -y, -y + 2*n - 25 = 23. Let m be (-5)\/10 - 23\/y. Do m and 0.2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from ooogoooegoogog.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101023113 - -3?\nAnswer: -101023110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - r = 5. Suppose -3*z + 6*f - 2*f = -148, -5*z = r*f - 235. Is 10 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -84352.969 - -84286. Let k = t + -0.031. Let q = -70 - k. Which is the second smallest value? (a) 0 (b) q (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78\/(-3965)*1425 + 6\/183?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 0.3 (c) 0.4 (d) -5 (e) -1.827\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - 33.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.619 - -1.619. Put v, 5, -2\/13, -0.8 in decreasing order.\nAnswer: 5, -2\/13, -0.8, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8132 and 193420?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(99) - sqrt(44)\/sqrt(16) - (sqrt(396) + 1 + sqrt(396) + -2))**2.\nAnswer: -38*sqrt(11) + 3987\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*o)*(0*o**2 + 0*o**2 - 3*o**2) + (-2 + 3 + 1)*(8*o**2 - 7*o**3 + 11*o**3 - 9*o**2).\nAnswer: 2*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v, 5*n + 4*v + 3 = 6*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -12*d + 125. Let n be q(10). What is the highest common factor of 25 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 72.47628 millennia?\nAnswer: 869715.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 4\/29, -0.1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 563*y - 3937. Let u be q(7). Solve 31 = -3*j - 4*i, u*j = -2*i + 3*i - 16 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25.997 - 26. What is k rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3769955?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5226*t**2*y**3 - 425*y**3 + 17*y wrt t?\nAnswer: 10452*t*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a*a**12)*a\/(a\/a**(-1\/5))*(a\/a**(-6))**4 assuming a is positive.\nAnswer: a**(79\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 420 and 1095?\nAnswer: 30660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 61105129 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16249, 29796, 43343?\nAnswer: 56890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18.2 + 18. What is the fourth biggest value in 2, r, 1\/6, 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11.17 + 57.17. Put 2\/3, 5, z, -0.4, 0.1 in descending order.\nAnswer: z, 5, 2\/3, 0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*v + 50 = -10 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7384.2738 - -7296.2738275. Let p = -88 - j. Round p to six dps.\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 160 + -169. Is 12 a factor of 483 - (r\/(-36) - (-15)\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10.2 + -10.1. Suppose -3*j = -5*u + 1, u - 6*j + j = 9. What is the nearest to d in u, -4, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 1 (b) 0.4 (c) 0.1 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10876982 and 3590.\nAnswer: 54384910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from sxs?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 15 = -2*q, 13 = 2*q - 2*a - 7. Let t(b) = -17*b - 2 + 38*b + 1 - 15*b. Is t(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4424467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 2441423451?\nAnswer: -2441423453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 1286 + 10*j + 4*j**3 - 6*j**2 - 1317 + 0*j**3. Is t(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 46 - 4 - 18*n**2 + 17*n - 43 + n**3. Calculate m(17).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y + 2*y - 44 + 46 in the form l*y + c and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 8:56 PM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 11:12 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6565445?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 875600 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 5*t + 2. Let c(a) = -40*a - 22. Let j(w) = 13*w + 7. Let s(l) = 2*c(l) + 7*j(l). What is 7*n(b) - 3*s(b)?\nAnswer: 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m - 25 + 235 = 0. Let y(n) = 9*n**2 - 7*n - 9. Let z(j) be the second derivative of -j**4\/3 + j**3\/2 + 2*j**2 - 26*j. Give m*z(g) - 6*y(g).\nAnswer: 2*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -18857a (base 16) to base 7\nAnswer: -16442142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b*d**3 + 3*b - 252129*d**5 - 242*d**2 wrt d?\nAnswer: -12*b - 15127740*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.45, 5, 0.6, -3?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.4 - 0.5. Let f = -1.169 - -0.069. Let x = f + h. Which is the closest to 2\/5? (a) x (b) 5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k. Suppose 2*d + 5 = -3*d - 4*l, -2*d = 3*l + 9. Let t(v) = v**3 + 2*v**2 + v + 2. Let i(w) = d*b(w) - t(w). What are the prime factors of i(-4)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, -5, 126?\nAnswer: 126","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ne when two letters picked without replacement from {m: 3, c: 3, t: 1, n: 2, g: 2, e: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4\/7)*b**(-9)\/b)**(-49)*(b\/b**0)**(-36)*(b\/((b\/b**1)\/b))**(1\/30) assuming b is positive.\nAnswer: b**(7231\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1003247999.7 to the nearest ten thousand.\nAnswer: -1003250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, b: 3, o: 4, a: 2, e: 3, f: 3}. What is prob of picking 1 b and 2 e?\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 58 + 9\/(-3) - (0 + -2). Let k = u + -49. Solve 2*q + 0*q + k = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 781917 >= 781911?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 4*s = -125, -11 - 21 = -2*f + 2*s. What is the lowest common multiple of 21 and f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/((-63)\/30) + 18\/(-42). Which is the nearest to 1\/2? (a) z (b) -5\/3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80196725373 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-286)\/(-78)*(1 + 2). Suppose -l*q - 6 = -28. Factor -2\/3*v**2 + 0 - 2*v**4 - q*v**3 + 0*v - 2\/3*v**5.\nAnswer: -2*v**2*(v + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2313372.\nAnswer: 2, 3, 192781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t**2 + 12*t**3 - 3*t**2 + (2 - 2 - t**2)*(-2 - 2*t + 2) to s*t**3 + c*t**2 + h*t + b and give s.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -75705697?\nAnswer: 2\/75705697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 106759?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.54 + -28.54. Let k = -43 - n. Let b = k + 15.00033. Round b to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/12882 and 109\/6306.\nAnswer: 13538982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4585.84203 + -4586. Round l to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, e: 2, h: 1, x: 4}. What is prob of picking 1 e and 1 m?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 + 1.05752523\nAnswer: 1.14752523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2477526.75 rounded to the nearest 1000?\nAnswer: 2478000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2702534 to the nearest integer?\nAnswer: 1644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 748 is divided by 3*(-10)\/(-75)*4340\/14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4, 3\/8, -2?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64277.\nAnswer: 17, 19, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 6*l - l - 2*l)*(5 - 19 - 17) to the form v + y*l and give v.\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 1:31 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1093377929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*f, -2*i + 3*f - 6 + 1 = 0. Suppose -130 + 126 = d. Which is the third biggest value? (a) d (b) -1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xeeeeexe.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-145)\/348 - 3\/(-4).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1, 6, 19, 44, 87?\n\"Answer: k**3 - 3*k**2 + 9*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5478857.\nAnswer: 71, 77167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1c0d9e (base 16) to base 2\nAnswer: -111000000110110011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -59*a**5 - a**4 - a - 7 wrt a?\nAnswer: -1180*a**3 - 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 213565 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -5*k - 51 + 11, v + k - 46 = 0. Let c = 8 + 5. Calculate the remainder when v is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50898 and 714?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 6*k + c - 24, 3*k = -c + 13. Let v = 2 - 1. What is the closest to v in k, -2\/15, -1.4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*k - 3*k. Suppose v - k = 2*v. What is the units digit of 2\/(-3)*54\/v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -362 less than -23542\/65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 388 = -j - j, r - 915 = -5*j. Suppose -358 = -2*c + 2*g, -j = -c - 4*g - 0. Is c a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 5*q**2 - 11*q - 219. Calculate s(6).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by 124?\nAnswer: -13\/124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 4*o + 3. Let f(r) = -9*r - 3*r**2 + 10 + 2*r**2 + 2*r**2. Let y(z) = -6*z**2 + 53*z - 32. Let l be y(8). Let m be f(l). Give b(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46352639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/4 - (-4)\/(-16). Suppose -2*c = -g*l - 7*c - 19, -5*l - 22 = 4*c. Let d = 9 - l. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 241175018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - 2 - (-58 + (69 + -26 - 26)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 8, j: 3}. What is prob of picking 1 j and 2 m?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19096, 19083, 19066, 19051, 19044, 19051?\nAnswer: 19078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from epbepbbbbpppp. What is prob of sequence eeb?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 137312824 and 848?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of 0*v + 1\/2*v**2 - 226. Let d(c) be the first derivative of -14*c**3 - 1. What is d(u(h))?\nAnswer: -42*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5 - -2)\/((-24)\/(-72)) + -1 + -4. Solve -13*q + 8*q - 20 = o, -x = 4*q + o for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -186 (c) 1\/4 (d) -5 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j + 60 = 25*j - 26*j. Let l(k) = 5*k - 4. Let o(y) be the third derivative of y**4\/6 - y**3\/2 + y**2. Give j*o(m) - 5*l(m).\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 303, 302, 301, 300, 299, 298?\n\"Answer: -c + 304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qss when three letters picked without replacement from qsqs?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68434 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 781286 and 68442.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-20\/7)*q**(-2))\/(q\/((q**(15\/7)*q*q)\/q*q)*q**28) assuming q is positive.\nAnswer: q**(-208\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 2:20 AM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2120 + -894. Is p*((-4)\/8 - -1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 77 = -153. Let k = y + 176. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15584 * -2.\nAnswer: -31168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*q + 142*q = 5263 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -26.1, -0.4.\nAnswer: -26.1, -0.4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*m + 9*m + 29 = -3*g + 2*g, -3*g = m - 43 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 490?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-32)*-4 - (-9)\/2. Solve -t*l + 2*s + 19 = 0, -3*s + 3 = 3*l - 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/600 and -94\/24375?\nAnswer: 195000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**3 - 12*j**2 - 5*j + 12. Let s be x(-6). What is the third derivative of 7 - 3 + 37*n**2 + s*n**4 - 4 wrt n?\nAnswer: 1008*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 557730 divided by -45\nAnswer: -12394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*r, 19*t - 23*t - r + 92 = 0. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8021400 to the power of 1\/2, to the nearest integer?\nAnswer: 2832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-77 - -58) + -2 + 7\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9201111?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-870)\/(-10))\/783)\/((3\/2)\/3).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700)*1*-2)**2 + 2.\nAnswer: 6802","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 241589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4\/7)*y)\/(y\/(y*y\/(y\/y**(-35))*y*y))*(y**(3\/8))**11 assuming y is positive.\nAnswer: y**(-1593\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 x when two letters picked without replacement from xrxxuuxcxuurxx?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 + -11 - -37) + 6?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 = 3*r + 43 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009951 rounded to 6 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.73 + 58.87. Let p = -11.6 + a. Let z = -55 + p. What is the second smallest value in -6, z, 0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/3 + 50*n\/3 - 17.\nAnswer: (n - 1)*(n + 51)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 4) + (-4 - -6). Let d be l + (-4)\/(-2) - -1. Solve -1 - d = g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**2\/4 - 5128667*i\/2 - 26303225196889\/4 = 0 for i.\nAnswer: -5128667","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 46, 32, -6, -80, -202?\n\"Answer: -2*u**3 + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1232, 2471, 3708, 4943, 6176, 7407, 8636?\nAnswer: 9863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*i + 4*q + 4, 5*i + 2*q - 8 = 0. What is the first derivative of 0*u**2 - 3*u**2 + 4*u**2 + i*u**2 - 2 wrt u?\nAnswer: 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-4) + 1)\/((-835)\/16700).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 26\/(1 - 3) - 91025\/(-6951). Let w = 3\/7 - 8\/35. What is the nearest to -0.1 in x, 5, w, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence loeg when four letters picked without replacement from llgeoklklldgg?\nAnswer: 1\/1144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -m**3\/3 - 2*m. Let l(b) = 3*b**2 - 432*b - 131. Let k(o) = o**2 - 160*o - 49. Let t(u) = 27*k(u) - 10*l(u). Give t(f(c)).\nAnswer: -12*c**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d**2 - 2*d - 57. Let o be k(9). What is the greatest common factor of 112 and o?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (16\/48)\/(2\/2)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + 15)*(-4188)\/(-24) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/63 and ((445\/(-14))\/(-5))\/(0 + 1)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2. Let f(y) be the second derivative of y**3\/6 + 47*y. Give -c(h) + 6*f(h).\nAnswer: 6*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 5*y = 356, 14*y = -5*d + 16*y + 645. What are the prime factors of d?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -415 - -418. Which is the second biggest value? (a) 1 (b) p (c) 5 (d) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**4*c*c*c**(-2\/35)*c*c**(-3)*c*c*c**(-3))\/(c**(-4\/5)\/(((c**0*c)\/c)\/c)*(c*c\/c**(-2)*c)**(-2\/139)) assuming c is positive.\nAnswer: c**(18559\/4865)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18.1 - 15.248. Let x = r - -0.148. Let m be 2 + 33\/(-12) - -1. Which is the closest to 0? (a) m (b) 2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 m when three letters picked without replacement from gmmmqqmgmgqggggmmgg?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161*p + 157*p + 12 = -4*y, p = -2 + 2. Let r(j) = -2*j - 3. Let u(q) = 2*q - 16 - 10*q - 2*q. What is y*u(v) + 16*r(v)?\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45\/836 - 7\/44. Which is the smallest value? (a) 2\/5 (b) h (c) 6 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-33)\/(-6)*(-64)\/(-176). Let i be o\/(-3*16\/72). What is the nearest to 3\/7 in i, -0.3, -1\/9, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -6. Suppose -a - g*a - 24 = 0. Is (36\/(-24))\/(a\/580) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 159585118?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1024 is divided by 188.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1005023 - -5?\nAnswer: 1005032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -4, -43243, 2, 29 in decreasing order.\nAnswer: 29, 7, 2, -4, -43243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*o**5*t**3 - 444716*o**5 - 13*o**2*t**3 - 9*o**2*t**2 - 2*o**2*t + o**2 + 5562*o wrt o?\nAnswer: -360*o**2*t**3 - 26682960*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwcycsssxcsscsss. Give prob of picking 1 w and 1 c.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -4*r. Give k(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1292745 + 1921991. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36646 - -67140. List the prime factors of q.\nAnswer: 2, 79, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**3 - 1292090*a**2 + 18088525*a - 63308980.\nAnswer: 5*(a - 258404)*(a - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/11 (b) 16 (c) 0.1 (d) -0.1 (e) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/1*301\/129.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus -0.7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*(-300)\/(-45))\/(20\/(-8))*4?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 5:49 AM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**4 + 3*s**2 - 4. Let c = 21 - 15. Let a(b) = -b**4 - 2*b**2 + 3. Let h(q) = c*a(q) + 4*f(q). What is the first derivative of h(n) wrt n?\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 504 divided by 56\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*f - 1. Let g(l) = -l**2 - 2 - 9 + 2*l**2 - 4*l + f. Is g(9) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.492 * 0.1072.\nAnswer: -0.0527424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -18434\/40589?\nAnswer: -18434\/40589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + -1 + 2 - -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 277\/5 - 56. Let a = 65\/7 + -9. What is the second biggest value in 1\/3, a, p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 15*n + 225 + 97 + 328 - 378. Let m be y(-18). Suppose 0 = 4*h - 5 - 7. Solve h*o - o = m*g - 8, -2*g = -5*o - 17 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 13) to base 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 825 by -59.\nAnswer: -825\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34 + 39. What is the least common multiple of g and 1\/((-2)\/(-10 + 2))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 79*o = 1580. Suppose -2*k = -4*k + 28. Calculate the least common multiple of o and k.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 4\/21375?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(13)*-6*-4*-4.\nAnswer: 96*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 153682, 153658, 153634?\n\"Answer: -24*x + 153706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c**2. Let q(j) = 26. Let z(x) = 2*x + 1. Let u(t) = q(t) - 2*z(t). Calculate a(u(m)).\nAnswer: -32*m**2 + 384*m - 1152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -12167*z + 7354. Let o(p) = 36501*p - 22057. Let s(v) = -16*i(v) - 5*o(v). Differentiate s(r) with respect to r.\nAnswer: 12167","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(2\/11)*(g*g*g**(-1\/11)\/g)\/g)**31 assuming g is positive.\nAnswer: g**(248\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/463072 and -79\/2315360.\nAnswer: 2315360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 75 - ((-17 - (3 - 40)) + -54)\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3.582497 + -103599\nAnswer: -103602.582497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.342 + -14983.12.\nAnswer: -14983.462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -0.0556806 (c) -6 (d) 1\/9 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 70 = 5. Let a be 25\/(-2)*40\/f. Calculate the greatest common factor of a and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**3\/p*p\/p**(-5\/2)*p)\/(p*p**(1\/4)*p)**45 assuming p is positive.\nAnswer: p**(-379\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10002387 divided by -219.\nAnswer: 45673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.9 + -0.9. Let p = -1 - k. Let h = 6.4 + p. Put 0.3, -2\/13, h in decreasing order.\nAnswer: h, 0.3, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a week in hours?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s = 5*m + 2, -234*s - 7 = 225*s - 456*s - 4*m for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-1)*(-759 + 4). Let g = v + 779. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 180 = p - 3*y, -5*p + 296 = -y. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1169*r - 1068*r - 5*v = -8*v - 2323, 3*v - 46 = 2*r for r.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 122 - 128. Let b(i) = -i**3 - 7*i**2 - 7*i - 4. What is b(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56a (base 13) in base 12?\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 310463063 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 42\/5 of a centimeter?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1162503 to the nearest integer?\nAnswer: 1078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 divided by -1744?\nAnswer: -13\/872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, b: 3, c: 1}. Give prob of sequence obcb.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (3148572\/18)\/(-14)*-3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1223357 is divided by 582.\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 457775 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -609188 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j + 7*j - 8*j + 3*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9094.676 grams?\nAnswer: 9.094676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*a - 4*n - 21, 2 = -2*n. Suppose a*g + 20 = 9*g. Solve 35 = -g*y + 15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p + 0*p + p)*(3 + 2 - 2).\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27037 is divided by 430?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 2*q. Let p(n) = n - 1. Let x be p(4). Suppose 0 = -k - q*k - 1, -3*j - x*k = -51. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(45) + 1) + (sqrt(320)*-2 - sqrt(320)) + (-1 + sqrt(5))*4)*3)**2.\nAnswer: 3654*sqrt(5) + 38286","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45, -98, -129, -126, -77, 30, 207?\nAnswer: 466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 3476.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128 is divided by 31.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {f: 3, c: 7}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4621826051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.8 in -1\/25, 1, -0.4, 4, 18\/11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - r + 4)*(r + 0 + 0)*(-12*r**2 + 14 - 14).\nAnswer: 12*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 231\/4 - 1\/4*b**2 - 5\/2*b.\nAnswer: -(b - 11)*(b + 21)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 + 33. Let t be 2\/1 - (-1 + 6). Which is the second biggest value? (a) t (b) 1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - -9. Let c(n) = -11*n + 0*n + w*n. Give c(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12440452 divided by 4.\nAnswer: 3110113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -8*y - 75. Let t be b(-9). Let f(o) = o - 4. Let a(m) = -m**2 + 3*m - 12. Let l(i) = t*a(i) + 8*f(i). Give l(3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -4, 3, -5, 1053.\nAnswer: -5, -4, -2, 0, 3, 1053","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y - 8. Suppose -1 - 7 = -4*k. Suppose -4*h + 29 + 11 = k*z, -4*z - h = -45. Let f be i(z). Solve 0 = 4*p - 2 - f for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-658)\/(-282)*3\/7\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12202 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xbl when three letters picked without replacement from yxyylbyxyyyyyxx?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 5*m + 1. Calculate the least common multiple of 77\/(-22)*(-2 - 0\/2) and b(4).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, o: 3, p: 3}. What is prob of picking 2 j?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c. Let t(k) = k**2 + 8*k. What is 3*o(a) - t(a)?\nAnswer: -a**2 - 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5250767.\nAnswer: 257, 20431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*1*14\/(-14).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/9075120 and 53\/2722536?\nAnswer: 27225360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/3)\/((-34)\/1989). Round q to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/445 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26900566?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {l: 2, u: 1, s: 13, q: 1}?\nAnswer: 143\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 x when two letters picked without replacement from {t: 1, e: 2, s: 1, x: 1, k: 2, b: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -232*p + 14. Is c(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 754862\nAnswer: -3\/377431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1551de (base 16) in base 2?\nAnswer: 101010101000111011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7527013807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1303 = -33*i + 3*l - 1180, l = 2*i - 5 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1706 - -1749. Solve -5*v - h + 33 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((-6)\/44)*((-1005)\/30 + 17). Calculate the highest common factor of 33 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32435058697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a - 33 - 32 = -30 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/135925 and 103\/650.\nAnswer: 3534050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 42, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11\/44 - (-30526)\/8. What is the highest common divisor of x and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -558579, -558591, -558603, -558615?\nAnswer: -558627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 7*z - 40. Let c be 119\/17 + (3 - 3). Let o be s(c). Let t(j) = -3*j**2 + 2. Let v(a) = -13*a**2 - a + 7. Determine o*t(f) - 2*v(f).\nAnswer: -f**2 + 2*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12904687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7540 divided by 52.\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -4*u**2 - u + 4. Let i be y(4). Let g = -42 - i. Let q = 32 - g. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2305, 4 in increasing order.\nAnswer: -5, 4, 2305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12\/7 in -0.052, -5, 0.3, 5, 6\/65, -6\/11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.01 + -4.81. Let a = 0.8 + y. Sort a, -0.2, 2 in ascending order.\nAnswer: a, -0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111211 (base 3) to base 15.\nAnswer: -4d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 477054?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 28918.67 weeks in milliseconds?\nAnswer: 17490011616000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*x + 0*x - 12 = 0, -10 = 5*x. Suppose 4*u - 5*u + j = 0. Solve u = 2*i - 2*y, 0 = -i + 2*i + y - 1 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4438.243 grams in nanograms?\nAnswer: 4438243000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -31 - (-21 - (-8 - 3) - (2 - 2))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**9*(v\/v**(-2\/21))\/v)**(-14))**8 assuming v is positive.\nAnswer: v**(-3056\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t**2 + 2*t**2 + 5*t**2 + (-2 - 2 + 5)*(-2*t**2 + 0*t**2 - t**2).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 377937 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (100\/90)\/(2\/18756)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 8:35 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 6425.\nAnswer: 4\/6425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-14)\/(-693)*-3.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -444, -909, -1390, -1887, -2400?\n\"Answer: -8*g**2 - 441*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27c (base 16) in base 3?\nAnswer: 212120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.03901 - 0.03901. Let i = 5.83 + 0.87. Let j = 7 - i. What is the nearest to n in j, -4\/5, 22?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + 10*m - 12. Let d be a(8). Suppose -d - 20 = -2*q. Does 7 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -2*k - k + 40, -13 = -k - y. Suppose 12 = 6*j - k. Solve -3*p = -o - 0 - 1, 4*o - 4*p = j for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55359 is divided by 1124?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 802?\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 15*p**2 - 128*p + 709. Give x(14).\nAnswer: 1857","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 7*h**3 + 5*h**2 + 7*h - 4. Let s(i) = i**3 + i**2 + i. Suppose -36 = y - 36, -5*z + 3*y = 25. Give z*s(p) + m(p).\nAnswer: 2*p**3 + 2*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g - 61*g**2 + 85 - 261 + 80 + 87 - 2*g. Let q(y) = -15*y**2 - y - 2. What is -9*q(p) + 2*v(p)?\nAnswer: 13*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 minus -637?\nAnswer: 637.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhnnhhnhhh. Give prob of sequence hh.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 999 = -l, 0 = 4*t + 3*l - 869 - 128. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**6)\/r**(3\/2)*r*r**(-2\/3)*r*r**(1\/5)*((r**(-4)\/r)**26)**(2\/21) assuming r is positive.\nAnswer: r**(-3643\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**4\/6 + 3*q**3 - 167*q**2\/6 + 36*q + 200\/3 = 0. Calculate q.\nAnswer: -25, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -3*x + 45. Let c = 35 + 1. Calculate the highest common divisor of c and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - m + 0)*(-24 + 24 + 3*m**2 + (0*m**2 + m**2 - 2*m**2)*(0 + 0 - 1)) as g*m + r + k*m**2 + w*m**3 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3136 + -3157. Let k = 0.9 - 0.4. What is the nearest to 0.1 in -4, k, c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 5, -753 in decreasing order.\nAnswer: 5, -6, -753","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 126286835 > 126286835?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51774267?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x**3 + 850*x**2 + 9483*x = 0. What is x?\nAnswer: -109, -87\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -75 - 13*p + 75 in the form l + h*p and give h.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -5. Suppose s*v + 8 = 0, 5*v + 283 + 53 = 4*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009409856 rounded to 4 dps?\nAnswer: 0.0094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-302*k - 38*k + 154*k - 453*k)*(-2 + 1 - 5).\nAnswer: 3834*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-4 + sqrt(832) + 4)**2.\nAnswer: 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 52 = 24. Let d = l - -14. What is the highest common factor of d and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -535 + 174. Let z = h - -443. What is the remainder when z is divided by 24?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21\/(3 + 0)*11 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 80309517 to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 2)*346\/2249?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -17ec?\nAnswer: 17e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5455550, -5455552, -5455554, -5455556, -5455558, -5455560?\n\"Answer: -2*j - 5455548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -252 - -147. Let g = x - -105. Suppose 0 = -g*l - 4*l + 444. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -755245.28 and -0.2.\nAnswer: 151049.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2996 divided by -1498.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2340+-4675.92\nAnswer: -7015.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 1\/219296?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.375 + 0.697. Let j = -0.378 - i. Is j at most -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 2*j**3 - 2*j**2 - 3*j - 2*j**4 + 3*j as m*j**4 + c*j**2 + o + d*j + w*j**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-22)\/((-3388)\/(-1298)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/(-5))\/(4\/(-129530)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 89599174?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 166, 150, 118, 64, -18?\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 23*r - 43. Let v be m(7). Let o = v - 113. Solve 0 = 3*w + o*c + 7, -4*w - w = -3*c + 23 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = q - 5*f, 5*q + 24 = f + 95 - 57 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1147473100501 less than -219?\nAnswer: -1147473100720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-4))\/(33\/352*16)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -363 or -345?\nAnswer: -345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*u + 24 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 1, -2\/11, -0.02, -6?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21543?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 26*z - 58. Give k(-22).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 4:17 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 72*z**3 + 9*z - 9. Let p(x) = -2*x. Let a(m) = -18*m**3 - 6*m + 2. Let v(s) = -a(s) + 2*p(s). Determine 2*j(h) - 9*v(h).\nAnswer: -18*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5238 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of 2\/3*i**3 + 1\/2*i**2 + 0*i - 1\/4*i**4 + 3. Let h be w(2). Solve 12 = -h*c - 2*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -81*y**2 + 78*y**2 + 4*y + 0*y**3 - 4 - y**3. Let h be v(-4). Calculate the least common multiple of -3 + (4 - -3) - h and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41\/4 + -125\/12. Put 4, 0.2, l, 0.1 in decreasing order.\nAnswer: 4, 0.2, 0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -4*m + 36. Let t be u(0). Let s be ((-30)\/t)\/(((-5)\/6)\/5). Let d be (4 + -4)\/1*5\/15. Solve 2*p - s*p - 12 = d for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t - 8. Let x be 3 - (4 + -10)\/(-2). Calculate v(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 383 = 5*v + 8*p, -558*v + 555*v = -p + 5*p - 229 for v.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (-1 - (9 + -8 + 12))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/2))**(-49))**(-24)\/((r\/(r*r**2))**9*(r*r**(-3)*r)\/(r**(4\/7)*r)) assuming r is positive.\nAnswer: r**(-3972\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/4 - 1979*f\/2 - 64218.\nAnswer: -(f + 66)*(f + 3892)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 91 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - 2*v - 47. Let o be d(7). Let b be ((-37)\/(-111))\/((-2)\/o). Solve b*t + 3*g + 7 = 0, 2*t + 0*g - 3*g = -13 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-33) - 80\/(-44). Let n be b\/10 + 48\/10. Suppose -4*l + 92 = 4*j, -5*j - l = -n*l - 70. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + 18. Let r(k) = -i*k**2 + 4*k**2 - 3 - 3*k - 9*k. What is the units digit of r(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*t**5 - 2*t**3 + 11034*t**2 + 16865*t wrt t.\nAnswer: -40*t**3 - 12*t + 22068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 430 and 1552570?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/2, 5, -3\/590 in decreasing order.\nAnswer: 5, 5\/2, -3\/590","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -16*k**2 + 0*k**2 + 9*k**2 - k - k**2. Let w(q) be the first derivative of -q**2\/2 + 121. Determine r(w(v)).\nAnswer: -8*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*(-2)\/(-8) + (-5 - (-7)\/2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i*i\/(i\/i**(1\/8)*i))\/i)\/(i**(4\/7)\/i))\/(i**0)**(-11\/4))**(-4\/9) assuming i is positive.\nAnswer: i**(-31\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 60\/16*64\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55132 and 252.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5223019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**3 - 4*t**3 + 4*t**3 + (1 + 8*t**2 - 1)*(1 - 1 - t).\nAnswer: -11*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 296066, 296036, 296000, 295958, 295910, 295856, 295796?\nAnswer: 295730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 380478\/18118*(-10)\/(-3)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1226 a factor of 95238132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4378 or -4380?\nAnswer: -4380","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -23.16585.\nAnswer: -4.63317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -3081.831 to the nearest 10.\nAnswer: -3080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153 = 55*j - 38*j for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 20888 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 1818*b**2 - 18*b + 11. What are the prime factors of m(1)?\nAnswer: 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/(-42))\/(4\/4842). Let j = -231 - y. Let p be 28\/(-70) + 13\/(-5). Which is the second smallest value? (a) 12 (b) j (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43 + 0. What is the remainder when -1 + (0 - t\/(-1)) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41.6 - -41.8. Which is the second biggest value? (a) 3 (b) z (c) -35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = n + 310, -7*a = -2*a + n - 789. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/2 + -31*(-4)\/(-28)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 48 divided by -922\nAnswer: -24\/461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l + l - 11*l + 4*l.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3236)\/(-18) + 32\/144. Suppose 0 = 6*u - 8*u + f. Calculate the remainder when u is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4511\/9 + 501. Let y = 55.8 + -56. Which is the smallest value? (a) o (b) -0.02 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 415 - -2781861.\nAnswer: 2782276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + 9 - -4) + -10\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23200 (base 4) to base 3.\nAnswer: 1000021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1a23b3b (base 12) to base 11\nAnswer: 3132228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2684 + 2679. What is the closest to -22 in -2\/9, 5\/7, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 266344\/199731 - 12\/66577. Factor 0 + 4\/3*y**3 + g*y**2 - 4\/3*y**4 - 4\/3*y.\nAnswer: -4*y*(y - 1)**2*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16.7 + 19.7. What is the third biggest value in -5\/11, 0.5, p, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -7.4. Let k = 3.2 - 3. Let f = 0.4 - 0.7. What is the second biggest value in f, k, l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*v - 5*x = -41*v, 0 = -4*v - 3*x + 37544. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 4, 2\/15, 838, 5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4 + sqrt(22)\/(sqrt(1584)*-1).\nAnswer: -9 - sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (17\/(-2) + 1)\/((-5)\/(-25)). Let c = h - -38. Suppose -1 + c*p + 1\/2*p**2 = 0. What is p?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t + 63. Calculate q(23).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21207 + -21247. Which is the smallest value? (a) -5 (b) 3 (c) -1\/4 (d) l (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1247224 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 1 + 17 = 4*j, 3*d = 3*j + 27. Let c be 2\/d - 24\/(-9). Let v = c + -4. Is v not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 29765360 and 2.\nAnswer: 29765360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 117737 and 20476.\nAnswer: 470948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46328?\nAnswer: 2, 5791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9359.32ml?\nAnswer: 9.35932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 8*a + 3. Let r be (-9)\/6 - 4\/(-8). Let t(j) = -j. Let n(k) = r*w(k) - 6*t(k). Give n(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x**5 - 60*x**4 + 150*x**3 - 140*x**2 + 45*x = 0. What is x?\nAnswer: 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -8876 divided by -634?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a91774 + 5?\nAnswer: a91779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-10)*(-256)\/(-128)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/7)\/(g**(2\/5)\/g)*g\/g**(-6)*(g*g**(-1\/9))\/g)\/((g**(-2\/7))**(4\/17)*g**(-2)*g**(-1\/2)) assuming g is positive.\nAnswer: g**(106171\/10710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - -12. Let -5*n**2 + n**2 + o*n - 17*n**2 - 6 = 0. What is n?\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, w: 5, o: 8, g: 2, a: 1}. What is prob of sequence asg?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19)\/((-342)\/27) + -4 + 185\/90?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 4*l = -23, -5*h + 3*h = -3*l - 21 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -287 - -164 - (52 - 133)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 1071?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-56)\/6*(-6)\/(-4). Let v = k - -5. Let c be 12*(-3)\/(-12) - 11. Is c greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 5*d**2 - 7. Let r be y(-5). Let c be (-6)\/4 - r\/(-14). Let v be (-7)\/1 + (-4)\/c. Let j(h) = -h**2 - 4*h + 2. What is j(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 8*n**2 + 6*n + 10. Let t be l(7). Let b(j) = -j**2 - 14*j - 3 + t + 13*j. Let i be b(1). Put i, 4\/7, 4 in ascending order.\nAnswer: i, 4\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214 + 246 = -10*b. Let l = b + 53. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 q, and 2 b when four letters picked without replacement from bqqhhbhbhc.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1590*t - 2012749 = 1573*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/1032941 and -83\/885378.\nAnswer: 6197646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 81 = 5*a, 0*a + 5*l = -5*a + 85. Solve 5*n = -4*m + a, 4*m - 6*n = -7*n for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-73)\/(-15) - 20\/(-150). What is the third smallest value in 8, 4\/7, p?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66136076 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149 - 4*o**2 - 463 + 160 + 154.\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 181438 and 1444946?\nAnswer: 2186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-2\/9))**30\/(s**(-2\/3))**31)**(-11))**(-4\/11) assuming s is positive.\nAnswer: s**56","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*s + 29*s - 53*s.\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 637 + -670. Let f be 8*1*(a\/6 + 6). Determine j so that -10\/3*j + 2\/3*j**2 + f = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2966586 or 2966534?\nAnswer: 2966534","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3385, -7259, -11145, -15043, -18953, -22875?\n\"Answer: -6*x**2 - 3856*x + 477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 116425 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: Suppose 5*h = -d + 107, -2*d + 113 = -5*h - 41. Let s = d - 100. Do -13 and s have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25383139 is divided by 217.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -85 - -91. Let y be c\/24*(1 + 0 + -1). Solve y = -5*d + 4*f - 7, -3*f - 16 = 5*d + 5 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 2. Suppose 0 = 3*f + 3*u - 9, -7 = -4*f - 3*u + 7. Which is the third biggest value? (a) f (b) t (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 76 and 9236527?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.437519792781 and -0.5.\nAnswer: -0.937519792781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/2 + 648*f - 209952.\nAnswer: -(f - 648)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3\/3 + 236*f**2 + 12160*f + 583376\/3.\nAnswer: 4*(f + 38)**2*(f + 101)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 215, 14, -13 in descending order.\nAnswer: 215, 14, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 - 289?\nAnswer: -282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 562*b + 4333 = -7*b - 11501 - 16030 for b.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c\/(c*c\/(c*c**(2\/11))*c*c)))\/c*c*c\/(c*c*c\/c**(3\/4)*c)*c*c)\/(c**(-1))**(-20))**(-4\/9) assuming c is positive.\nAnswer: c**(767\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**42)**(-41))**22 assuming f is positive.\nAnswer: f**(-37884)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 22537 a multiple of 202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3540638 divided by 3540638.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**3\/13 + 126*r**2\/13 + 2046*r\/13 + 1922\/13 = 0. Calculate r.\nAnswer: -31, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 164232 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 + 28. Put t, -6, -3 in increasing order.\nAnswer: -6, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -6, -42 in descending order.\nAnswer: 5, -6, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 2 + 114*z + 1 - 181*z - 4.\nAnswer: -67*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-25 + 3 - 1634\/(-86)) + (0 - -17))\/2\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6975*b**3*m**3 - 212*b**3 - 6*m**3 - 161*m**2 - 3430 wrt b.\nAnswer: 20925*b**2*m**3 - 636*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6356339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6)\/(-9) + 1 + (-984)\/(-9).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 2477982 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d + 6. Let m(f) = -11*f - 18. Give 2*m(y) + 7*o(y).\nAnswer: -y + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47 and 3901?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 6*n**2 - n. Suppose -9*u + 7*u = -30. Calculate the remainder when w(4) is divided by u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -43474.124 to the nearest ten.\nAnswer: -43470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9087 - 5041. Suppose u + 2*q = 1367, 2*u = 5*u - 5*q - m. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (115 - -3)*(-1)\/2. 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 235 minutes after 6:35 AM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24.153343 or -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 274256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 8 + 4. Let p(o) = -4*o**2 - 600*o. Let h be p(-150). Solve h = -f*u - 0*u + 30 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/4 + (-6)\/8. Let j = -270 + 297. What are the prime factors of (t + 2)*3 + j?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/11 (b) 0 (c) 66 (d) 5 (e) 0.3072 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of (228*2\/15)\/((-1)\/(-5))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(200\/(-15)) + 132\/5. Suppose 14*k - 18*k + 13 = z, d = k + 5*z. Factor -8\/7*u - 4\/7*u**k - 4\/7.\nAnswer: -4*(u + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 418736.\nAnswer: 1\/209368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of 4*c**2 + 0*c**3 + 0*c**4 - 1\/336*c**8 + 0 + 1\/120*c**6 + 1\/840*c**7 + 0*c - 1\/240*c**5. What is k in z(k) = 0?\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -43*b + 3. Let v(r) = 16*r + 5. Let p(z) = 31*z + 7. Let n(q) = -2*p(q) + 3*v(q). Determine 4*f(o) - 11*n(o).\nAnswer: -18*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -23.1. Let u = q + 8.9. Let n = u - 28.9. Do n and -20 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 134 - 179. Let q be (-80)\/12*18\/r. Factor -2\/3 + q*b**3 - 6*b**2 + 4*b.\nAnswer: 2*(b - 1)**2*(4*b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 5:33 AM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 13 = 3*u + 4, u - 5 = -c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 5*y + 7*y + 10*y + 359 = 0, -4*a + 60 + 28 = -4*y for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -25\/7 in decreasing order.\nAnswer: 4, -25\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 13. Suppose -r*a - 3 = 3. Let u = 0 + 3. Sort a, 1, u in decreasing order.\nAnswer: u, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.156 - 0.06. Let x = n + -0.1055. Round x to three dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 55953479?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -7. Let s(l) = 6 - 3 + w - 5*l - 5. Is 6 a factor of s(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8640 + 8567. What is the closest to k in 1\/11, 3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1*sqrt(133) + sqrt(133) - sqrt(133)) + (2*sqrt(133) - sqrt(133))*-4)\/(5*(sqrt(21)\/sqrt(3) - sqrt(7)) - (sqrt(567)*1 + sqrt(567) + sqrt(567)))*5.\nAnswer: 10*sqrt(19)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -3\/10*l**6 + 0*l**3 + 0*l**5 + 0 - 3\/2*l**2 + 0*l**4 + 8*l. Differentiate j(m) with respect to m.\nAnswer: -36*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -11. Suppose 0*k - k = -r. Solve -5*s + k = -10 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**2 + 1851*r**3 - 23*r**2 - 26 - 1848*r**3.\nAnswer: 3*r**3 - 23*r**2 - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/74 or 3.626?\nAnswer: 1\/74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 not equal to 55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -29b2?\nAnswer: -29b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-2*((-4)\/(-5))\/1)\/(408\/(-1530))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-5)\/l**(-3\/2))**(-15))**(4\/29) assuming l is positive.\nAnswer: l**(210\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 82 = -2*o, -5*o = -23*a + 18*a - 115. Let y be (-8)\/16 + 3\/4. Put -0.3, y, o in decreasing order.\nAnswer: o, y, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of -i**7\/105 - i**6\/15 - i**5\/6 - i**4\/6 + 155*i**2\/2 + 12*i + 9. Let d(g) be the first derivative of z(g). Factor d(s).\nAnswer: -2*s*(s + 1)**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*k - 11*k + 11*k)*(0*k**3 + 3*k**3 - k**3) + 3*k**2 + 2*k**4 + 2*k**2 + 14*k**3 - 18*k**3 to y*k**3 + v*k**2 + a*k + n*k**4 + m and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f - 2. Let i be h(2). Suppose i*s - 100 = -5*s. Calculate the smallest common multiple of s and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from saivibisosso. What is prob of picking 1 i and 1 a?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37 + -32. Suppose -5*i + 1 = -2*l - k, -4*l + 10 = i. Solve 3*j + 3 = 0, -3*j - 8 = -x + i*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - 28.3563.\nAnswer: -28.5563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-3))\/((-32418)\/270 + 120).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3674364 divided by -1837182\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) -26 (c) 133\/5 (d) -2\/19 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/4 and -77\/169648.\nAnswer: 169648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 6*n**2 + 8*n - 4. Give w(-6).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c*c**6*c*c\/(c\/c**(-3\/8))*(c**(-2\/17))**14 assuming c is positive.\nAnswer: c**(949\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 32\/(-2)*(-2)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - x - 9 = 4*x, 5*z - 5*x = 45. Suppose 0*r - 5*s = -z*r - 12, 5*r + 15 = 3*s. Is ((-2)\/6)\/(r\/495) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-8)*103\/((-1648)\/(-352)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23 and 5221?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 49 = -47. Calculate the greatest common factor of 16 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1760?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 62*l**2 - 2*l + 1. Let p be z(2). Suppose 4*d + p = -5*a, 2*a = 2*d - 40 - 40. Let f = -23 - a. Calculate the remainder when f is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 - 191 = -1160*y + 1150*y for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11126\/3 - 3708. Let a(b) be the first derivative of 12 + 2\/9*b**3 - 1\/6*b**4 + 1\/3*b**2 - q*b. Factor a(r).\nAnswer: -2*(r - 1)**2*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**2 - 4*i - 1. Let t be z(3). Let q = -26 + 32. What is the third derivative of -t*x**6 + x**5 - x**5 - 8*x**2 + q*x**2 wrt x?\nAnswer: -600*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + -2622?\nAnswer: -2616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 q when two letters picked without replacement from emq.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*b + 5*b. Let c = 2\/207 - 428\/1449. Sort b, -5, c.\nAnswer: -5, c, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -124539539489 and -58.\nAnswer: -124539539547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-46*v - 63*v + 6*v)*(17*v - 7*v - 11*v - v**2 - 7) to the form u*v + s + o*v**3 + c*v**2 and give u.\nAnswer: 721","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3 = -2*c + 9, -5*c = -25. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, v: 2, g: 1, b: 1}. What is prob of picking 2 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -16114e2?\nAnswer: 16114e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -80*i - 389*i - 3616 + 18624 for i.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18.94 - 77233.\nAnswer: -77251.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i - 2. Give r(-17).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/166 and 143\/18.\nAnswer: 1494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 249?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(28)\/sqrt(4)*1).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8313.523 centuries in decades?\nAnswer: 83135.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72023761.\nAnswer: 97, 742513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -900\/79 or -12?\nAnswer: -900\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 194029947 to the nearest integer?\nAnswer: 579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13554737 + 30?\nAnswer: -13554707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*v = 5*v - 16560. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9243960 a multiple of 220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 63658 <= 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 2\/11, -2\/7, -6, 0.2, -3\/61?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12.75 + 0.25. Let j = 82216.1 - 82216. Put j, p, 2 in ascending order.\nAnswer: j, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1857, -1717, -1479, -1143?\n\"Answer: 49*t**2 - 7*t - 1899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*w + 19*w - 45*w.\nAnswer: -13*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 498 and 503 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 126 - 64. Let t = 70 - m. What is the greatest common divisor of 16 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13635*y + 40222*y + 17500*y.\nAnswer: 71357*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 8*s**2 + 15*s + 28. What is p(4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a year?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h**3 - 17*h**2 - 4*h + 3. Let q be (-3)\/2*(-608)\/114. Let i be z(q). Is i at least as big as 419?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1*(-1 + sqrt(343)) - (-2*sqrt(343) + 5 - sqrt(343))) + 0 + ((sqrt(7) + -1)*5 + sqrt(7) + 2*sqrt(28)\/sqrt(4))**2.\nAnswer: 60*sqrt(7) + 443","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (700\/(-250))\/((-1)\/110). Is 307 at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -3*n**5\/2 + 3*n**4\/2 + 9*n**3 - 6*n**2 - 12*n = 0?\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -90*r + 2791. What is v(31)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 5*j + 2 = 0, 0 = -3*m - 4*j - 0*j + 7. Suppose -3*t + 6*t - m = 0. Let i be 10\/3 - (-2)\/(-6). Is i bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llimq. Give prob of sequence miq.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/8 of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11937?\nAnswer: 3, 23, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -161*q**3 - 3*q**2 - 14*q - 31. Is u(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -2\/23, 2.09, -3, -0.2, 3?\nAnswer: 2.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from gpsggpgpggsg?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3685232, 3685285, 3685330, 3685361, 3685372, 3685357?\nAnswer: 3685310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 45510 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -3*g + 6, -y + g = -4*g + 6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from epzvsspm. Give prob of sequence vsz.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - w + 4170 = -2*o, 4162 = o - 3*w. What is the thousands digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 9*m**2 - 2*m + 2. Let p(t) = 4*t**2 - t + 1. Suppose 3*u + 2*w = 182, -2*u + 2*w + 125 = 7*w. Suppose 10*s - 10 = u. Calculate s*p(v) - 3*x(v).\nAnswer: v**2 - v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9782 is divided by 983?\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 0 = 4. Let v(t) = t**3 + 5*t**2 - 8*t - 9. Suppose 0 = -4*q - 10 - 14. Let s be v(q). Solve -s*d + 4*d - f = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d + 9. Let l be x(6). Let r(m) = 4*m + 4. Let s be r(2). Let k = l + s. Calculate the remainder when 34 is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 331 + -328. Suppose 17*l - 12*l - f*r - 6163 = 0, -5*l = 4*r - 6191. List the prime factors of l.\nAnswer: 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -285 in 0.22, 2, -4, 0, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 70, 87, 104, 121?\n\"Answer: 17*a + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*o**2*s**4 + 3*o**2*s**3 + 341*o**2 - s**2 wrt s?\nAnswer: 48*o**2*s + 18*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7454.9 - 1187.1. What is j rounded to the nearest 10?\nAnswer: 6270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*k**2 - 10*k**2 + 0*k**2 + 2*k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3344.23225 + -0.06775. What is l rounded to the nearest 100?\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = d + 41, 24*t - 22*t = 5*d + 1 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from iiiiiiiiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 5*y**2 - 7*y + 31. Let s(f) = -2*f**2 + 3*f - 15. Let z(b) = -7*s(b) - 3*x(b). Calculate z(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b. Let g(x) = -22*x**2 + x. Calculate g(c(y)).\nAnswer: -22*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1022 - -592. What are the prime factors of 3\/2*o\/(-15)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millisecond in microseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -11*i**2 + i - 11. Let m(w) = 5*w**2 + 5. Let f(h) = -9*m(h) - 4*s(h). Let n(g) = g**3 + 15*g**2 - 16*g - 3. Let v be n(-16). Determine f(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3961\/(-493) - (-2)\/58. Let p(l) = -8*l - l**2 - l - l - 8. Give p(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 3*w - 6, 2*n + 14 = n - 5*w. Sort n, 0, -1 in ascending order.\nAnswer: n, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of 0 + 1\/12*z**4 - 9\/2*z**2 + z**3 - 47*z. Determine v(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -32? (a) -333 (b) -4 (c) 1564\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3898 - 36.0498. What is z rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s + 7. Suppose j = 4*h - 23, 3*h + 2*j - 20 + 0 = 0. Let a be c(h). Solve -3*m + m - a = -3*z, 3*m + z + 7 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4245 (base 10) in base 13?\nAnswer: 1c17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -2*a**3 + 15*a**2\/2 - 4*a - 129. Let v(t) = -3*t**2 + 7*t - 2. What is 13*v(o) - 6*x(o)?\nAnswer: -3*o**2 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -25*m - 517. Let n be s(-22). Solve -n = -26*p + 45 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 15\/4 of a century?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 3*k - 72907 = -73114, -2*k + 212 = 5*n for n.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0197325 rounded to 4 decimal places?\nAnswer: 0.0197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/11, 0.074, 2\/7?\nAnswer: 0.074","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 1227 = -3*m + m, -4*m + 2*g = -2414. Suppose -5*o - m - 2899 = 0. What is o rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250 + 177 = 47*r - 1684 - 2666 for r.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 114102 (base 5) in base 4?\nAnswer: 1002311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3049 is divided by 102.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 - -20. Suppose -6 = l - c*l. Let u be l + 1 + -4 + 1. Calculate the greatest common divisor of 11 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.9398 - 0.0602. Which is the second biggest value? (a) -1\/9 (b) 2\/31 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, y: 11}. Give prob of sequence yy.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + 6*s + 346. Determine m(-16).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 586692853?\nAnswer: 2027, 289439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 22 = 6*t - 3*t, -2*g + 5*t = -24. Suppose 7*p = 5*p - g*p. Suppose p = x - 1, 4*x - 710 = -3*h + 2*x. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.45614 + -0.37081. What is f rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c + 0 - 2 + 2.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**2 + 3*l - 92. Suppose -41*t - 144 - 52 = 173. Calculate b(t).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.4 - 1.4. Sort 0.5, f, -1 in increasing order.\nAnswer: -1, 0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2138*k - 3 + 2246*k + 235*k + 668*k.\nAnswer: 5287*k - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 110 - -15. Suppose 5*p + 7*c - 4*c = f, -p = 3*c - 13. Solve -p + 3 = -5*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in j**5\/5 + 41*j**4\/5 - 243*j**3\/5 - 121*j**2 - 322*j\/5 = 0?\nAnswer: -46, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-116)\/30 + 13430\/(-100725))\/(4\/58)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -101.152 - -0.152. Let y = 101.209 + -0.209. Let w = y + s. Which is the second smallest value? (a) 0.3 (b) w (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 12. What is the third derivative of -31*x**w + 31*x**4 - 3*x**2 + x**5 wrt x?\nAnswer: 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1053 is divided by 279?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 5. Let q be (1\/((-1344)\/(-234)) - 3\/21) + 0. Do u and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 13*q**3 - 5323*q**2 - 1409806*q - 1404494. Let x(w) = -3*w**3 + 3*w**2 + w - 1. Let y(i) = k(i) + 6*x(i). Find c such that y(c) = 0.\nAnswer: -530, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/13 - 2770*y**2\/13 + 91868*y\/13.\nAnswer: 2*y*(y - 1351)*(y - 34)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -120*c**2 + 2*c**3 + 2 + 114*c - 10*c**2 - 116*c as n*c + o + f*c**3 + i*c**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14779279.\nAnswer: 14779279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, x: 9, e: 3}. Give prob of picking 1 x and 3 j.\nAnswer: 105\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - 7. Let v = 7 + r. Let z = v + 0.8. Sort -0.3, -0.5, z.\nAnswer: -0.5, -0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 17*u**2 + 67*u + 10. Give o(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 9*n**2 + 11*n - 11. Let p be j(8). Let k = 15 - p. Is k a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence if when two letters picked without replacement from {g: 1, c: 3, d: 3, b: 1, i: 3, f: 3}.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 12\/25, 0.3, 317, -111.\nAnswer: -111, -2, 0.3, 12\/25, 1, 317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -4*w**2 + w + 7. Let f(b) = b**2 - b - 1. Let s(r) = -5*f(r) - t(r). Determine s(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 121700409?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -216420 - 2*s + 216420.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1901714?\nAnswer: 2, 47, 20231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 9 + (-23 - -12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3 - 3108*l**2 - 9331*l - 6222.\nAnswer: (l - 3111)*(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 637?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 0) + 2 + (31 - 38).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -19 + 4 + (-8 - (1 + 0))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 76 + -92. Let g be 132\/4*(d\/12)\/(-2). Calculate the greatest common divisor of g and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 6 - (-2 - -6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*q = -15, 0 = p - 5*q - 93. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 7:00 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*p + 907 = -659, 3118 = 4*o - p. What are the prime factors of o?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6880 and 232939434.\nAnswer: 232946314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n**2 - 1 + 1 + (1 - 2 + 3)*(2*n**2 + 4*n**2 - 4*n**2) + 5*n**2 + n**2 + 0*n**2 in the form p + d*n**2 + x*n and give d.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26\/17 in 3\/8, -9\/2, 3, -87?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -59*d + 1 - 1 - 3*d + 0*d + 5*d + (0 - 1 + 2)*(3*d + 0*d - d) + 0*d - 2*d + d as n + i*d and give i.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p - 3. Let c be j(2). Let s = c - 3. Solve s*z = 3*z + 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 857260431.\nAnswer: 3, 41, 277, 8387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -116560 divided by -5\nAnswer: 23312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1184 and 348352?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 5*w + 590. Let v be r(-27). Which is the closest to 0? (a) -0.4 (b) 0 (c) v (d) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 12*l**2 - l + 2. Let j be m(1). Let x = j + -16. Sort -4, 0, x.\nAnswer: -4, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*q**3 + 5*q**5 - 9*q**3 + (0*q**3 - 3*q**3 + 2*q**3)*(-14*q**2 + 4*q**2 + 5*q**2) - q**5 + 21 - 21.\nAnswer: 9*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 38 - (36 - 74)) + -19.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**2 - 8*f - 3. Let y be p(6). Let o = 26 - y. Suppose 5*s = -4*g - 7, 3*g - s = 4*s + 21. Solve -g*r - 16 = 3*q + o, -r - 3 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1362 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, b: 1, w: 1, x: 1, r: 1, j: 1}. Give prob of sequence xbjr.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2888, -59, -484 in ascending order.\nAnswer: -2888, -484, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 2*c = -6, -q - q + 14 = -3*c for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 442\/51*33\/(-22)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*a**2 - 165*a**2 + 76*a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -53806, -53805, -53804, -53803, -53802, -53801?\n\"Answer: t - 53807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 23874722.2 rounded to the nearest 10000?\nAnswer: 23870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 12:12 AM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11988 - -30954. Suppose 3*r = -10*g + 7*g + 14232, -g = -4*r + y. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 29*r - 86*r - 3)*(-2*r + 0*r + r) in the form o + d*r**2 + g*r and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*c - 7 + 23. Suppose -5*n - c*y + 104 = -19, -4*n = 2*y - 98. Is 4 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 25851 and -5.\nAnswer: -129255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-10)\/i)**(-1\/2)\/((i\/(i\/i**23))\/i)**20 assuming i is positive.\nAnswer: i**(-869\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29\/2 - -16. Let q = 0 + 0.4. Let n = -427.2 - -427. What is the closest to q in n, 5, z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f + 1 = 33. Suppose 4*x + 1219 = 5*n, 5*n + 0*n - 1211 = -f*x. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.6 + 0.63. Let y = -0.33 + x. Let o = y - 0.1. Which is the closest to -2\/3? (a) 3\/2 (b) o (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 11?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 41*w**2 + 33*w - 90. Let p(i) = i**3 - 9*i + 13. Let f be p(2). Is 21 a factor of l(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 4034*d + 342983. What is n(-85)?\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 695657?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/32 and 43\/18616.\nAnswer: 74464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9283.537t to micrograms.\nAnswer: 9283537000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 30423229.2 minutes in weeks?\nAnswer: 3018.1775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/12 (b) -0.4 (c) 1\/2369\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*n**5\/9 + 556*n**4\/9 - 3872*n**3\/3 + 7360*n**2 = 0. What is n?\nAnswer: 0, 12, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(144) - -2*sqrt(144))\/sqrt(8) - ((sqrt(18) + (sqrt(54)\/sqrt(3) - sqrt(18)) - sqrt(18) - sqrt(18)) + -4)*-3)**2.\nAnswer: -864*sqrt(2) + 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-106)\/(-28)*5\/4. Let l = x - 34\/7. Are l and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 169*m**3 + m**2 - 86*m - 253866.\nAnswer: 507*m**2 + 2*m - 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.7 and -1.8804180009?\nAnswer: 3.5804180009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 154604011 to the power of 1\/2, to the nearest integer?\nAnswer: 12434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3 - 5300*l**2 - 183050*l.\nAnswer: -2*l*(l + 35)*(l + 2615)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1426561, -1426529, -1426473, -1426393, -1426289, -1426161, -1426009?\n\"Answer: 12*k**2 - 4*k - 1426569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 788923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -r**4 - 4*r**3\/3 - 20. What is h in y(h) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 216 and 675?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -3, -152 in descending order.\nAnswer: 5, 2, -3, -152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150 = 3*i - 28*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3972424199?\nAnswer: 15797, 251467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 14 + 7)*(-2*p - p - p).\nAnswer: -120*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 3*g - 2*g)*(-6*g**4 + 3*g**4 + 2*g**4) - 5*g**4 - 2*g**4 - 26*g**5 + 9*g**4.\nAnswer: -24*g**5 + 2*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2580 and 13060132?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 1)*(18*x + 24 - 24) + 2107 + 2106 - 4214 + 356*x to s*x + l and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 4*c + 6, -q - 3*c + 34 = q. Suppose 0 = 5*p - r - 19 - 365, 306 = 4*p - 2*r. Calculate the greatest common factor of q and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 164*i**3*y**2 + i**3*y + 477*i**3 + 35*i**2*y + 3027*i*y**2 wrt i?\nAnswer: 984*y**2 + 6*y + 2862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 9.8?\nAnswer: -39.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4119 a multiple of 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**2 - y**2 + 0*y**2 - 941*y**3 - 2*y**2.\nAnswer: -941*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + 10*v - 1. Let p be m(-14). Suppose -4*o - p = -9*o. Suppose 13*u + 4 = o*u. Which is the closest to u? (a) -0.1 (b) 2 (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69 and 828?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -289*w**3 - 6*w**2. Let d(y) = -28032*y**3 - 584*y**2. Determine -292*b(u) + 3*d(u).\nAnswer: 292*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29055 and 87841?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 8*j - 2. Let p = -5 - -10. Let h = p + -3. What is the smallest common multiple of t(h) and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20? (a) 0.1 (b) 0.2 (c) -4594 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((3 - -2) + 29)\/1. Let z = t - 24. Solve 6*d = d + z for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 47 = 3*y - 0*b, 53 = 4*y + 3*b. Let h be 8\/14 - (-6)\/y. Let z(s) be the third derivative of -3*s**4\/8 - s**2. Calculate z(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 8*n**2 + 2*n + 1. Let j be z(8). Let m = 22 - j. Solve i = 2*o + 2, 0*o + m*i = -4*o + 10 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 9*c**2 + 8*c - 85. Let n be p(8). Solve -5*y - n = -23 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(32) + -1 + -6*(sqrt(2) - (0 + sqrt(2))) + (1 + sqrt(6)\/sqrt(3))**2 + 0.\nAnswer: 2 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6934544826 a multiple of 4582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -47986.6 * 0.3\nAnswer: -14395.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -v - 1958, 3*f + v + 187 = 1659. Is 10 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15\/12 + (-385089)\/(-92) + 9 is divided by 221?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/31, -1456, 1 in descending order.\nAnswer: 1, -2\/31, -1456","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 f, and 1 e when four letters picked without replacement from {h: 2, e: 1, a: 3, f: 3, q: 3, u: 3}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, b: 5, y: 3, s: 3, f: 1, l: 1}. Give prob of sequence flfc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = t - 4*a, -t - 3*t = -3*a - 2. Let h be t\/((-2)\/10*2). Let r = -13.1 - -13.3. What is the closest to -1\/3 in -3, r, h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3940*-4\nAnswer: 15760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**4\/19 + 216*q**3 + 114798*q**2 + 4056196*q = 0. Calculate q.\nAnswer: -1007, -38, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + ((-123)\/39)\/(3 - 2). Which is the biggest value? (a) -34.1 (b) i (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*f = 121*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 81075 to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -35, 1, 57, 91, 61, -75?\n\"Answer: -7*v**3 + 52*v**2 - 71*v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/9 (b) 7 (c) 1\/3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + 592 + (0 - 2). Suppose c - o = 3*o + 129, 3*o = -4*c + i. Suppose 71 = 2*m - c. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -223 - -225. Let o(l) = l**2 + 19*l + 27. Let n be o(-18). Suppose -5*j = n - 24. Solve -j = -m*s - 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 74*d - 2. Let p(w) = 38*w - 1. Determine 3*h(o) - 7*p(o).\nAnswer: -44*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1125113317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 577997?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1037106738?\nAnswer: 2, 3, 541, 106501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 2:12 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -201521, -201262, -200999, -200732, -200461, -200186, -199907?\nAnswer: -199624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 9*h - 5. Let c = 13 - 5. Let u be n(c). Suppose -9*i = -20*i + 55. Solve -5*p = i*j + 3 + 2, 2*j - 3 = u*p for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -167.9 or 8\/179?\nAnswer: 8\/179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 15, 8, -47, -186, -445?\n\"Answer: -6*t**3 + 12*t**2 - t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3a5 - b?\nAnswer: -3b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3448, -6855, -10220, -13543, -16824?\nAnswer: -20063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-8)*p)\/(p*p**(12\/5)) assuming p is positive.\nAnswer: p**(-47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**2 - 346 - 7*j - 2*j + 14*j + 15*j + 347 in the form p + a*j + z*j**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w + 3*w**3 - 15*w - 1 + 8*w + 4*w in the form h*w**2 + l*w**3 + x*w + n and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10b3b - 5?\nAnswer: 10b36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or 1809\/391?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -7*t**2 + 1\/60*t**5 - 1\/2*t**3 + 0*t - 1\/8*t**4 + 0. Let k be j(4). Which is smaller: 1\/8 or k?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7975 divided by -5\nAnswer: 1595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {e: 3, w: 1, g: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*f**2 + 242615 - 242615 + 3*f**3.\nAnswer: 3*f**3 - 21*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16196 - 16201. Put t, -266, 0.4 in ascending order.\nAnswer: -266, t, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 106, 2, -130, -1, 3, 5, 1 in ascending order.\nAnswer: -130, -1, 1, 2, 3, 5, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 - 0 - 0 - 3. What is the units digit of 426 + 6 + -17 + 2\/c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a century in years?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-2 + (3 - 1) - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6151 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24*(-20)\/(-3) + 1. Suppose a = -5*q - 2*a + 100, 0 = 4*q + 4*a - 72. What is the greatest common factor of l and q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 7 + 17 + -17 + 11 + -2 + -95.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/31 in 0, -34, -74?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.1421697ns?\nAnswer: 0.0001421697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 502*z**4 - 541*z?\nAnswer: 6024*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*x - 634*x - 2672 = 198*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 - d + 5. Let j(b) = b - 4. Let i(x) = -x**3 - 26*x**2 + x + 28. Let h be i(-26). Determine h*z(c) + 3*j(c).\nAnswer: -2*c**2 + c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*d - 590 = -22*d + 56*d for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2234142 and -4?\nAnswer: 2234138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b45a0 (base 12) to base 2.\nAnswer: 1110110010101001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -123 * -275.\nAnswer: 33825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 AM and 6:04 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*t + 149*t = -114 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a decade in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11\/2 of a milligram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 491 + -496. Let g = 0.3 - 1.3. Which is the nearest to g? (a) 0 (b) j (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 10:29 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -355 at least as big as -356?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 14505 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 35341?\nAnswer: -35334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3680.31 rounded to the nearest ten?\nAnswer: -3680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 a factor of 255354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 264*p**2 + 56925028*p + 6037500.\nAnswer: 4*(p + 215625)*(66*p + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1164 divided by 51649?\nAnswer: -1164\/51649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -17*z - 85. Let u be p(-5). Suppose u = -810*q + 803*q + 49. Calculate the greatest common factor of q and 203.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010 + -10101?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0\/(-2))\/(36\/(-12)). Does 5\/8 = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 53*s**4 + 134*s**4 - 46*s**3 + 36*s**3 - s**2 to d*s**2 + u*s**4 + r + w*s + q*s**3 and give u.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i - 11 - 14 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 144061615 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30209*p**2*t**3 - 429*p**2*t + 48*p**2 + p*t wrt t.\nAnswer: -181254*p**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6555463 to the nearest integer?\nAnswer: 2560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 13*a**2 - 2. Let r be o(13). Let g be (r - -35) + -2 + 7. Calculate the greatest common factor of 2 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -15*w**3 - 106*w**2 - 84*w - 484. Determine p(-7).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 - 33. What is the nearest to -2\/9 in -3, r, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 1202 + 218 = 0. What is s rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-252)\/15*6020\/(-21) a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -2*h**3\/3 - 18*h**2\/5 - 18*h\/5 + 81. Suppose p(m) = 0. What is m?\nAnswer: -3, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 24\/7 + -2 + 0. Let o = y + -33\/28. Which is the biggest value? (a) -0.5 (b) 1\/3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9797 = 44*q - 7069 for q.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1)\/10)\/((-2)\/4))\/(72\/(-45))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 573733295 to the power of 1\/2, to the nearest integer?\nAnswer: 23953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -80 in 1\/16, 2, -1\/3, 4, 10?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 630.91 + -638.3594. Round r to one decimal place.\nAnswer: -7.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bukkkkkukkuuk. Give prob of picking 1 k and 1 b.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-50)*20*(-190)\/(-3). Suppose f + 28 = 18*m. Calculate the least common multiple of 29 and m.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -3*y + c + 21, -4*y - c = -5. Factor 4 + 14*a**3 - 3*a - a + 10*a - 24*a**y.\nAnswer: 2*(a - 1)**2*(7*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h - 2400 = -20*h. Let k = h + 3107. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*b - 65*b + 5 = -x, -5*b = -3*x - 7. Suppose 1\/6*g**4 - 7\/2*g**b - 5\/6*g**3 - 23\/6*g - 4\/3 = 0. Calculate g.\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6716 is divided by 705.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -113603440 divided by -11360344.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -5*t**3 - 3*t**2 + 3*t + 5. Let q(y) = -y - 6. Suppose 5*j + 15 = -0*j. Let i be q(j). Is 13 a factor of o(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16 + (-279)\/21 + (-3)\/1. Which is the nearest to -18? (a) -3 (b) 3 (c) w (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*o = -81130 + 22171 - 227691. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 8:14 AM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 8) to base 2.\nAnswer: -10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -841 - -843. Suppose 3*b + 4*p - 36 + 22 = 0, -g = 2*b - 3*p. Let n(d) = -176*d**3 - 33*d**2. Let a(v) = 11*v**3 + 2*v**2. What is b*n(m) + 33*a(m)?\nAnswer: 11*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92499, 92507, 92517, 92529, 92543, 92559, 92577?\nAnswer: 92597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17048419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5632021?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -12268?\nAnswer: -12272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30803017?\nAnswer: 7, 29, 53, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -613*g**2 - 15281*g + 1131. What is r(-25)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 - 17. What is the smallest common multiple of h and (-16)\/((-832)\/130)*(0 + 4)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1284?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1140 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309 is divided by (-122 - 2)\/(-14 + 12).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 13, -0.2, 196, -2.03?\nAnswer: -2.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f - 7. Give c(7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*v**4 + 13*v**3 - 126348*v**2 + 2239*v - 57?\nAnswer: 24*v**2 + 78*v - 252696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*d + 40*d + 620 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*k = 1327, 0*s - 3*k + 1357 = 2*s. Suppose -s - 1699 = -2*f + 4*a, -4*f + 4762 = 3*a. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-9))\/((88\/(-72))\/(-11))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1067272460 and 2335?\nAnswer: 2335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h + 2742*h**3 + h + h - 5477*h**3 + 2742*h**3.\nAnswer: 7*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -5*6*1*sqrt(300))*-3*1.\nAnswer: 900*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*b - 7*a + 27*a = 137, 3*b - 2*a + 6*a + 26 = 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(sqrt(64)*1).\nAnswer: sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) 4\/7 (c) -5\/24 (d) 3\/29 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10129?\nAnswer: 7, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 34660727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -8. Let l = a - -6. What is u in 7\/5*u**3 + 3\/5*u**l + 2\/5*u**2 + 0 + 0*u + 8\/5*u**4 = 0?\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*a - 96*a = -2432. Is a a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 79729 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 147*i + 9. Let g(n) = 6*n**2. Give g(u(k)).\nAnswer: 129654*k**2 + 15876*k + 486","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 6}. What is prob of sequence rr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 232*r + 12. Let b be a(0). Solve 13*y - b*y - 4 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 39113 (b) 4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b (base 12) to base 8\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 47*i**3 + 4*i**2 - 35*i + 65. Calculate the remainder when 1181 is divided by d(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23.09 + 23. Let a = 0.84 - 1.18. Let x = b + a. What is x rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -45436, -45175, -44914?\n\"Answer: 261*r - 45697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 122421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r**4 - 88*r**3 - 2436*r**2 - 11840*r - 4352 = 0. What is r?\nAnswer: -8, -2\/5, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -93 (b) -10 (c) -4 (d) 340\/3 (e) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -198?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 - 12. Is j a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (42 - 56)*72\/(-21). Which is the biggest value? (a) 3 (b) -3 (c) 0 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 9) to base 7.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*o**5\/3 + 23548*o**4 - 314683256*o**3\/3 + 24431912344*o**2\/3 - 15973352492*o + 23802757748\/3 = 0. Calculate o.\nAnswer: 1, 77, 8791","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 s when four letters picked without replacement from sssgsssmgsmmg?\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s**2\/7 + 5395660*s\/7 + 43165536\/7 = 0. Calculate s.\nAnswer: -8, 1348923","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4*x + 7. Let n(d) = -2*d - 3. Let q(r) = -r**3 + 7*r**2 - 5*r - 8. Let j be q(6). Calculate j*g(l) - 5*n(l).\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4 + 2 = 2*x, -3*k = -6. Let z = -2\/5 + -4\/15. Sort x, -1, z in descending order.\nAnswer: x, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -2) + (1 + -2)*-3. Suppose 5*m - 6 = b*p, 9 = p + 4*m - 0. Put 0.3, -2, p, 4 in ascending order.\nAnswer: -2, 0.3, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 8:27 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -5*l**2 - 1. Let k(t) be the second derivative of -t**4\/12 - 584*t. Give -2*b(m) + 2*k(m).\nAnswer: 8*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -809 + 810. Which is the third biggest value? (a) j (b) -0.1 (c) 2\/11 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 667678, 1335307, 2002936, 2670565, 3338194, 4005823?\nAnswer: 4673452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6328 is divided by 1054?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -299279585429 minus -0.5?\nAnswer: -299279585428.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 - 1)*(2*f + 47*f + 13*f + (-1 + 5 - 3)*(f + f - 4*f)).\nAnswer: -240*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -4467*s - 145. What are the prime factors of y(-4)?\nAnswer: 37, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.2 - 1579.\nAnswer: -1581.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 102 = -5*x. Let f = -41 - x. Find the common denominator of -89\/60 and 34\/20 + 21\/f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -227.8 + 283. Let f = -55.2758 + l. Round f to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = 3*h - 7*h. What is the remainder when 37 is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -166*t**4 + 3 + 327*t**4 - 2*t**2 + 2*t - 8*t**3 - 163*t**4 in the form l*t**3 + y*t + p*t**2 + b + n*t**4 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 303427876?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9299 + 101*h - 9299 - h + h + 2*h + 6*h - 4*h + 0*h + (-h + 4 - 4)*(-5 + 3 + 1) + 3 - 3 + h - 2*h + 4*h - h.\nAnswer: 108*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -4*z + 156. Calculate the remainder when b(-64) is divided by 102.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o + 227 = 346. Calculate the remainder when (166\/3)\/(2\/3) is divided by o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -380.21 + 8.21. Let w = -372.4952 - j. Let h = w - -0.51. What is h rounded to three dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21 - 22) + 0 + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from ddedddeddeededddded?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -w - 1128. Let u = 114 + -112. Let h(o) be the third derivative of o**4\/24 + o**2. Determine u*h(f) + i(f).\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 128639 divided by 329\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 7*t - 42. Let z be c(16). What is the greatest common factor of z and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12181 equal to 12180?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12936 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 6*u + 1. Let p = 0 + 2. Let l be q(p). Suppose -2*b + 4*f + 5 = b, 3*b - 2*f = l. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8.771427ml?\nAnswer: 0.008771427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (27\/3)\/3 - 0. Suppose 2*y + 2 = 0, 25 = 2*a + l*y - 14. Let o = -10 + a. What are the prime factors of o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of r**6\/120 - r**5\/20 - 5*r**4\/24 - r**3 - r**2. Is m(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**4\/7 + 1554*i**3 - 1591500*i**2\/7 + 60221250*i\/7 - 58640625\/7 = 0 for i.\nAnswer: 1, 75, 3475","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is 84641 rounded to the nearest one thousand?\nAnswer: 85000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 0.4 (b) 1 (c) -1\/4 (d) 2\/43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**2\/4 - 41*k\/4 - 37 = 0. Calculate k.\nAnswer: -37, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 13*b**2 - 53*b + 55. Let v(j) = -4*j**2 + 18*j - 18. Let w(k) = -2*n(k) - 7*v(k). Give w(8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -436 - -451. Solve -t = 6*q - 9*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5482599mm to meters.\nAnswer: 0.0005482599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 43623168*x**4 - 31693527*x wrt x.\nAnswer: 523478016*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (204\/(-8))\/(-51) - 19\/46\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2896 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1299 a factor of 450175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11231 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -3*d + 12. Let n be j(4). Let l be (-1 + -1)\/((-4)\/14). Suppose -5*o + 2*h + 16 = -n*h, 2*o - l = h. What is the smallest common multiple of 6 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -3666\/89, -2\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*f - 2. Let i = -3 + 9. Let c = i + -10. Sort 1, c, f in ascending order.\nAnswer: c, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of (1\/(-2))\/(2*(-4)\/4000)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkck. What is prob of sequence kk?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 5*v**2 - 6*v + 6. Let x be a(-6). Solve -9 + 27 = x*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - 2 - (-31137076)\/(-26140950). Let y = 2\/174273 + q. Let f = y - -2\/25. Which is smaller: 2\/7 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 648 and 68916 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -372908.4452571 plus -6?\nAnswer: -372914.4452571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21252 divided by 21.\nAnswer: -1012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence impm when four letters picked without replacement from mmmmrinimncpc.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2, 3\/29, -2\/3, -22.4?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -16 + 13 + 39\/3. Solve -x = 8*m - 6*m, 3*m - x = -c for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1670?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3355 = -2*n + 11305. Let o = 23725\/6 - n. Find the common denominator of o and -35\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 556 - 667.9. Let o = i - -112. Which is the closest to o? (a) -8 (b) -0.4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.85905 - -0.15905. Put 4, i, 0.02, 1\/3, 1\/2 in decreasing order.\nAnswer: 4, 1\/2, 1\/3, 0.02, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + u + 13 = 0, 2*u + 23 = -4*s - 3*u. Let o(g) = g**2 + 3*g - 27. Let n be o(-7). Sort s, n, 0, -3.\nAnswer: -3, s, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 t when three letters picked without replacement from rjhtrt.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 4) to base 6.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8520225923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(2\/4*-2). Let u = 18 + -17. Suppose o - y = u. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -238*a**3 - 5*a**2 - 2*a + 1. Calculate y(-1).\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -4*r**2 - r + 14. Let l be 10*(-2)\/16*-4. Suppose 2 = l*j - 3*j. Let k(m) = -m**2. Let d(s) = j*h(s) - 3*k(s). Calculate d(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1091*f - 2549 wrt f.\nAnswer: -1091","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64869198.\nAnswer: 2, 3, 43, 251431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 4 + -4 + 0 + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 8*d - 3*d = -29, -2*z - 2*d - 6 = 0. Calculate the remainder when z is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17760 divided by 4592\nAnswer: -1110\/287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-4 + (-7 - -5))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**18\/(r*r*r**(4\/5)) assuming r is positive.\nAnswer: r**(76\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.15, 0.45, -0.2, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 90*t - 2862. Give j(33).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -737869 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*d = 57*d + 13544. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2724 - -0.2726814. Round o to five dps.\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132561*i**2 + 132561*i**2 - i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 times -0.37313?\nAnswer: 0.410443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -472 - -474. Suppose 2\/9*r**3 + 2\/9*r**g + 0*r + 0 = 0. Calculate r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 5*u**2. Suppose 55*t - 6 = 52*t. Let k(n) = -7*n**t - 2*n**2 - n**2 + 3*n**2. Determine j(k(i)).\nAnswer: 245*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 5 + 87. Let o = y - 29. Let a = o - 29. What are the prime factors of a?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30*h**2 - 4685*h - 780.\nAnswer: -5*(h + 156)*(6*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10609 + -10595. What is the smallest common multiple of (-22)\/99 - 1514\/(-9) and p?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 - -47) + (11 - 18). Let k be -49*(-11)\/(693\/v). Is 26 smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(18\/(-10)) + (-2152)\/(-24). What is the greatest common factor of 77 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b3f29 (base 16) to base 9\nAnswer: 1343051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*u + 2*u + 0*u - 4*u.\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -237*k**2 + 2 + 0*k + 82*k**2 + 79*k**2 + 74*k**2 - k. Let p(n) = -3*n**2 - n + 3. What is -4*p(g) + 7*t(g)?\nAnswer: -2*g**2 - 3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 9, j: 3, g: 3, c: 1, e: 1, k: 1}. Give prob of picking 1 c and 1 g.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 + 7 + -5 + -8 - (-6 - -18)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 4 (b) 251 (c) 619\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -46.6 + 32.5. Let s = 14 + d. Let p = 15 - 10. Which is the nearest to s? (a) -6 (b) p (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -2*t**2 + 6213308*t - 4825649537858 = 0.\nAnswer: 1553327","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2518 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40435 + 45469 = -22*k + 78*k. Calculate the greatest common divisor of k and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/54*-6 + (-490)\/(-6). Suppose i - w = -v, 5*v - 6 = -3*i + 234. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -153 + 155. Let u be (m - 39\/(-15)) + (-14)\/(-35). Let c be (-2)\/(-3)*(3 - -3). Solve -c*b = 3*j - 14, -18 = j - 5*j - u*b for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2201 smaller than 2223?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -47 + 47.0000165. Round a to 6 decimal places.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/45614966 and 11\/12?\nAnswer: 273689796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -438*z. Let d(u) be the second derivative of 11*u**3\/6 - 2986*u. Determine d(m(n)).\nAnswer: -4818*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 20. Suppose -b = -5 - d. Does 14 divide (0 - (1 - b)) + -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -2*d + 6, 4*d + 0 + 2 = -5*v. Let s(r) = 193 - r**d - 193. Let i(h) = -h + 1. Let u(b) = -1. Let a(x) = -i(x) - u(x). Calculate s(a(g)).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/5*1)\/((2880\/810)\/((-80)\/(-12)))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 38 and 5.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1045246 bigger than -2\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7383795.064 and -0.191?\nAnswer: 7383794.873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -398 + 404. Solve h*f - 3*f = -2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 3*o**2 + 6*o + 1. Calculate c(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from ddzzdzzddd?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.85837l to millilitres.\nAnswer: 29858.37","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-13))**(-4\/19) assuming o is positive.\nAnswer: o**(48\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 57 divided by -19\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y**3 + 123*y**2 - 621*y + 789. Let u(n) = -2*n**3 + 62*n**2 - 310*n + 394. Let t(r) = -2*o(r) + 5*u(r). Factor t(v).\nAnswer: -4*(v - 7)**2*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -10. Let h = 21\/32 - -3\/32. Let o = -1075\/6 - -180. What is the third biggest value in h, w, o?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2676 - 2492. Is a a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 43648420 and 109121050.\nAnswer: 218242100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 5*r**2 - r. Let d(j) = j. Let b(s) = 4*d(s) + t(s). Suppose 5*y + 15 = -0. Does 6 divide b(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 353*o - 12. What is the tens digit of d(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39917 and 6415264?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2848396?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/68922 and -157\/20676600.\nAnswer: 20676600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26857?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7 + (-44086)\/(-35) - ((-6)\/15 + 0)?\nAnswer: 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234*b = 225*b + 45 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32615992?\nAnswer: 2, 41, 99439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 5) to base 13.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p - 6. Let f be q(4). Let b = f - -9. Calculate the remainder when b is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/5))**(-32)\/(m**9\/m*m*(m*m**3)\/m)*m**(4\/9)*m**4*((m*m**(5\/3))\/m)\/m*m\/(m*m\/(m\/m**(-3\/4)*m)*m) assuming m is positive.\nAnswer: m**(1199\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 4 + 47946*q**2 - 47487*q**2 + (2*q - 4*q + 3*q)*(2*q + 3*q - 4*q).\nAnswer: 460*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-14))\/((-9)\/(-6)). Let o be 10\/14 - (0 + -12 - -12). Let u = n + o. Which is the third smallest value? (a) -8 (b) u (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i - 5*y + 4, -46*i = -41*i + 5*y - 20 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 8 = 5*q + 257, -q - 53 = u. Let w(h) = 6*h**3 - 10*h**2 - 14*h + 6. Let i be w(-6). Let g be i\/30 + 2\/10. Which is bigger: q or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 148427407, 296854812, 445282217, 593709622, 742137027?\nAnswer: 890564432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -64 - -64. Let c = -528.0835 + -0.9165. Which is smaller: h or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 42 = -5*n - 17, -n + 16 = 3*m for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.8693 rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -1\/56*g**7 + 3\/40*g**5 + 1\/8*g**4 + 0 - 3\/8*g**2 - 1\/40*g**6 - 1\/8*g**3 - 3*g. Suppose m(i) = 0. Calculate i.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) - (1 + sqrt(432) + 3))*6*-2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-25)\/(-2) + (-3 - 2) + 8. Which is greater: x or 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4*k**2 - 4*k + 2. Determine c(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -89*o**5\/2 - 934*o**4\/3 - 3197*o**3\/6 + 180*o**2 + 2134*o\/3 - 8\/3 = 0.\nAnswer: -4, -2, 1\/267, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 + -1. Let g = j - -1. What is the closest to -1\/2 in g, 0.5, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of 1\/100*c**5 + 4\/5*c**2 + 46 + c - 1\/2*c**3 + 1\/10*c**4. Factor x(o).\nAnswer: (o - 1)**2*(o + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-452)\/(-1017))\/(102\/(-27))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6 (b) 19 (c) 4 (d) 0.08 (e) -5 (f) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-48)\/60)\/((-1)\/10). Suppose -2*m = -22 + y. Solve -m*w + 2*w = -20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 47*c**3 - 5*c**2 - 3*c - 4. Let d be t(-4). Let n be (-4)\/(-14) - 2984\/d. Let w = -16\/11 + n. Put 2, 0.4, w in descending order.\nAnswer: 2, 0.4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 762.2246 litres to millilitres.\nAnswer: 762224.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2421572624 to the nearest integer?\nAnswer: 1343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**4\/17 + 36*w**3\/17 + 168*w**2\/17 + 176*w\/17.\nAnswer: -2*w*(w - 22)*(w + 2)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/2 of a micrometer in nanometers?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-11)\/(132\/18)*20\/(-6). Suppose -2*m + 5*g = -21, -n*g - 13 - 14 = -4*m. Solve i - m*f = 2, 3*i - 2*f - 4 + 12 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 49*a + 21. Let t be p(21). Suppose -v = 4*k + 2436, k + 39*v - 38*v + t = 0. What is k rounded to the nearest ten?\nAnswer: -610","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4034968, -4034954, -4034928, -4034884, -4034816, -4034718, -4034584?\n\"Answer: w**3 + 7*w - 4034976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 7*a = -6*a - 29, a = 5. Let w = 28 - v. What is the highest common factor of 8 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3674 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 51*r**3 - 39*r**2 + r + 5. Let i(u) = -30*u**3 + 21*u**2 - u - 3. Give -5*i(c) - 3*j(c).\nAnswer: -3*c**3 + 12*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/(-2))\/((-7)\/14). Solve z*s - 11 = 5*a - 7, 3*s = 2*a + 7 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -233 - 92 = -5*f. Let x be (718 - 712) + 2*257. What is the highest common divisor of x and f?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(11) + 5 + (sqrt(11) - (sqrt(11) - (sqrt(11) + sqrt(220)\/sqrt(5)))))*-5)**2.\nAnswer: 500*sqrt(11) + 1725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -194 divided by -37984?\nAnswer: 97\/18992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w + 3*w - 5*w + (2*w + 1 - 1)*(3 - 1 - 1) + 0*w + w + 4*w + 0*w + 0*w + 2*w - 3*w + 0*w + 2*w + (w - w + 7*w)*(6 - 3 + 0).\nAnswer: 31*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.23 + 0.17. Suppose 0 = 3*d + 5*s + 61, 3*s - 9 - 12 = 3*d. Let l be (1\/d)\/(9\/(-36)). Which is the closest to -1? (a) -8 (b) w (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.00978 and 4.\nAnswer: -12.03912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 9. Let p = y - -17. Let a be (-1)\/3 - (-464)\/6. Calculate the highest common divisor of a and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 + -6)*34\/(-6). Let d = 74 - h. List the prime factors of d.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 35 = f. Calculate the remainder when f is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l**3 - 8*l**2 + 4*l + 17. Let y be u(-4). Put -2, y, 2, -1 in ascending order.\nAnswer: -2, -1, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14182828 is divided by 254.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448) + (-2*sqrt(2448) - sqrt(2448)))*-4 - 3*(sqrt(2448) + 1))**2.\nAnswer: -360*sqrt(17) + 61209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 5*w - 2. Let y be r(-6). Let k = -13 - y. Let h(o) = o**3 + 5*o**2 - 7. Determine h(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 16 = 22. Let z be 2\/16*u + (-735)\/(-28). Suppose -2*b = l - z, 4*b - 5 = -l + 54. Solve -3*d - b = d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**2 + 11*n - 27. Is 11 a factor of d(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f + 47 + 16*f - 46 as d + q*f and give q.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 841132552?\nAnswer: 2, 13, 8087813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1535.349 + -1562.8. What is f rounded to zero dps?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1785578, -3571142, -5356700, -7142252, -8927798, -10713338?\n\"Answer: 3*g**2 - 1785573*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-6)*g)\/g)**47)**(-2\/23) assuming g is positive.\nAnswer: g**(564\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1581401 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, -296, -0.6 in decreasing order.\nAnswer: 0.6, -0.6, -296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, i: 4, c: 3, v: 2, q: 6}. What is prob of sequence qc?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-56)\/20)\/(91\/(-65))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40629*b - 1271 + 4941*b + 1271 - 3759*b.\nAnswer: -39447*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 218729, 218725, 218721, 218717, 218713?\n\"Answer: -4*o + 218733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 s, and 2 q when four letters picked without replacement from {s: 3, q: 3, n: 3, j: 4, t: 4}?\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1421 + 2559 = -349*b - 2701 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*w + 16*w + 148*w - 705 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 188559, 377346, 566133, 754920, 943707, 1132494?\nAnswer: 1321281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 2*o + 4*l - 29600, -4*o = -3*l - 59200. Round o to the nearest 1000.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5104.00002107 + 5104. Round n to 6 decimal places.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -155*s**2 + 81991*s - 143825984 wrt s.\nAnswer: -310*s + 81991","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + -10 + 28 - -1) + -10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88, -113, -150, -205, -284, -393, -538, -725?\nAnswer: -960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(-60) - 5\/(-4)*2\/(-15). Solve -20*q + 21*q - 1 = n, 10 = -3*y - 2*q for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9*(-8)\/(-288) - (-75)\/20. Let j(n) = -n**2 + 10*n - 2. Determine j(m).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.6 + 1.6. Let g = 15 + -11. Let t = u - g. Which is the nearest to 0? (a) t (b) -3\/7 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -6. Suppose 3*m - 3*w + 141 = 0, 0 = -3*m - 0*w + n*w - 138. Let t = m + 64. Calculate the lowest common multiple of 2 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**2 - 3439 + 559 + 1838 + 523 + 519.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300)*1 + sqrt(300))\/sqrt(6) - ((sqrt(72) - (sqrt(72) + -4*sqrt(72))*-3) + sqrt(72))**2)*3.\nAnswer: -10584 + 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/2)\/5 + 0 + 1\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 40*n. Let b(h) = 21*h + 1. Let m(p) = -12040*p - 560. Let f(u) = 1680*b(u) + 3*m(u). Determine 3*f(a) + 64*z(a).\nAnswer: 40*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/12)\/(1936\/704)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.12 - 1.88. Let l be ((-1)\/3)\/((-5)\/30). Let f be (3\/6)\/(1\/l). Which is the nearest to -0.1? (a) m (b) 0.4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(108)\/sqrt(3))\/sqrt(12).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 0 + (1 - -3)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 1\/3, 16, -0.625, 10, 0.4 in decreasing order.\nAnswer: 16, 10, 6, 0.4, 1\/3, -0.625","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16*n**2*v**2 + 63*n**2*v - 9*n**2 - 3*n*v**2 - 4*n + 2720 wrt v?\nAnswer: 32*n**2*v + 63*n**2 - 6*n*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*m = 2*m + 288. Find the third derivative of -2*x**2 + 0*x**2 + 36*x**5 + 2*x**5 + m*x**2 wrt x.\nAnswer: 2280*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -305*j**2 - 7*j + 20 - 38*j + 165*j**2 = 0. What is j?\nAnswer: -4\/7, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2964?\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of 4 + 0*o + 0*o**3 + 3\/4*o**4 - 3\/2*o**2. What is the second derivative of m(j) wrt j?\nAnswer: 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 5*k - 84 = -3*k, -k = 3. Let j = 46 + x. Let f(i) = i**3 - 6*i**2 - 7*i - 7. What is f(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 5:40 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 41416 - 0.5?\nAnswer: 41415.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 2\/15 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 81031634 to the nearest integer?\nAnswer: 9002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.08? (a) -1 (b) 0.07 (c) 0 (d) 293 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15874 is divided by 189.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, 1\/12, -56\/27 in descending order.\nAnswer: 1\/12, -4\/7, -56\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*a + 322 - 236 = -539 for a.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-4 + 7 + -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/10*(-75)\/(-18)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -24*p - f + 87, 11 = 2*p + f for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-304*v + 375*v - 284*v)*(3*v**2 - 5*v**2 + v**2) - 4 + v**3 + 4 + 0*v**3 + 5*v**3 - 3*v**3.\nAnswer: 216*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 32545 at most 97639\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 0*m = -4*m - 37, 4*n - 5*m + 46 = 0. Let a = 24 + n. Differentiate -14 + 15*z**3 - 22*z**3 - 24*z**3 - a with respect to z.\nAnswer: -93*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than -553013839.209?\nAnswer: -553013838.209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -1. Let q = 2.1846 + -14.1846. What is the nearest to -2 in j, q, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vveeeveevveee. Give prob of picking 1 e and 2 v.\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209)*-4 + sqrt(209) - sqrt(209))*-5*-5)\/(sqrt(33)\/(3*sqrt(192))).\nAnswer: -2400*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -201530 by 1.\nAnswer: -201530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 2470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15896790 a multiple of 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 8.86, 0.5, 27.\nAnswer: -3, 0.5, 8.86, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n + n - n + 5*n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32467*k + 32474*k - 2*x - 69 = -6*x, -4*k = -3*x + 24 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5275?\nAnswer: 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 73561 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 976 and 8?\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-1*sqrt(343)*5.\nAnswer: 175*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.075 - -2.625. Let f = 0.3 + j. Sort -1\/5, -0.9, f in decreasing order.\nAnswer: f, -1\/5, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - (40\/(-16))\/(10\/(-8)). Find the second derivative of 1 + 58*q**x - 11 - 3*q + 0*q - 103*q**2 wrt q.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qox when three letters picked without replacement from yqxxyxoqhyxo.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rlo. What is prob of picking 1 r, 1 l, and 1 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b - 2. Let d be c(3). Let j(r) = 2 + 54*r + 1 - d - 3. Is j(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90 + 90 - 261 + 2*d**2 + 80 + 611*d.\nAnswer: 2*d**2 + 611*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 24\/36*(-18)\/(-4). Suppose r*n - 2*n - 2 = 0. Suppose -3*k - 57 = -n*q, 0*q = -3*q + k + 96. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -127 - -100. Let v be -6*6\/l*3. Differentiate 2*b**4 - 7*b**v + 28 - 36 with respect to b.\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 26208339.\nAnswer: 2\/26208339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 533 and 119908969?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, g: 1, w: 2, u: 1, s: 2}. Give prob of sequence gys.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 18*a**2 - 4*a + 811. What is i(20)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1248030 by -2830.\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -12*v - 2. Let z(b) = -24*b - 3. Give 5*a(i) - 3*z(i).\nAnswer: 12*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = u - 5. Suppose a - u + 0 = 0. Suppose 12 = -o + a*o. Solve b = 3*y - 7, 2*b + 5 = 3*y - o for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/((t*t\/(t\/(t*t**(2\/11))))\/t)))**(-23) assuming t is positive.\nAnswer: t**(-299\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0412079578 to three dps.\nAnswer: -0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 6\/9 - 1178\/(-6). Suppose 0 = -5*m - 4*u + 201, -8*m - 3*u + v = -3*m. Is m a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 275548 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 208 and 884?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 2*s = -19, -4*s - 30 = 5*f + 7. Sort 5, -1, f in decreasing order.\nAnswer: 5, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.04 (b) 3 (c) -1\/17 (d) -2.667959\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + -1 + 0 + 2*sqrt(3)*-1.\nAnswer: -sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 54, 4, -1, 2, -6 in ascending order.\nAnswer: -6, -1, 2, 4, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - 23. Let r(o) = 3*o - 4. Let c(u) = 8*u - 11. Let s(p) = -p**2 - 3*p + 6. Let n be s(-5). Let z(a) = n*c(a) + 11*r(a). Calculate h(z(d)).\nAnswer: d**2 - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 5778?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 2) + -1 + -4*1. Let l be 4\/(-14) - (-19)\/n - 1. Let k(h) be the first derivative of h**4\/4 + h**3 - h**2 + h - 4. Determine k(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-five eighths of a micrometer?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1\/1427, 0.00954 in decreasing order.\nAnswer: 0.00954, 1\/1427, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f*f**(2\/15)))*f)\/((f*f**(-8))\/f)*f**(2\/11)*f**2\/f assuming f is positive.\nAnswer: f**(1867\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 10:28 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 6 (b) -2 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of m**8\/168 + 16*m**7\/105 + 73*m**6\/60 + 3*m**5\/5 - 27*m**4 + 72*m**3 + m**2 + 13*m. Suppose t(i) = 0. Calculate i.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -86509017395712*u**2\/11 - 26307264*u\/11 - 2\/11.\nAnswer: -2*(6576816*u + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 488 at least as big as 2441\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 6) to base 2.\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11256 by -268.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 48*y**2 + 3*y - 34. Suppose 10 = z + 2. Is u(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 17*v**2 - 151*v + 1088. Determine k(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 27\/(-45) - (-313)\/505. Which is the nearest to 1? (a) y (b) 1 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 - -28. Suppose 57 = a*l - 19. Is l even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1332534 and 2442979?\nAnswer: 14657874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7146 is divided by 3567.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 2. What is the derivative of 3*v - 3 + 3*v**2 - m*v wrt v?\nAnswer: 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 4*u**2 + u - 3. Let p = -14 + 15. Let g(a) = a**2 - 1. Calculate p*t(l) - 3*g(l).\nAnswer: l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-649)\/168 - (1 - 99\/63) and 23\/140.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -96.56 - -93. What is u rounded to zero dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1\/3, 0.1, 6, -28?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 1:05 PM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 603341 is divided by 2394?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194526035.\nAnswer: 5, 11, 3536837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -417 - -662. Calculate the greatest common factor of 35 and d.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -218, -445, -650, -821, -946, -1013, -1010, -925?\nAnswer: -746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5*(0 - (-20)\/(-25)). Let u(b) = -i*b + 4*b - b + 3*b. Let k(y) = -14*y. Calculate k(u(c)).\nAnswer: -28*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4801*f*p**3 + 509*f + 3*p wrt p.\nAnswer: -28806*f*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 3*(4\/(-12) - 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/67 in 0.4, -12\/7, 538, -4, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from nnnnknkn?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -50*v**4 + 6*v**3 - 18*v**2 + 7*v + 934. Let r(d) = 2*d**4 - d**3 + 3*d**2 - 2*d. Let u(q) = 6*r(q) + s(q). Find the first derivative of u(m) wrt m.\nAnswer: -152*m**3 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*y - 3*j + 195 - 48 = 0, y + 1070 = -3*j + 1091 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-1) - 5\/(15\/(-9)). Let z(q) = 0 + a - 2 - 4 - 97*q. What is the units digit of z(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 + (-2 - 0))\/4. Which is the closest to g? (a) -0.3 (b) 0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59 + 0*k + k + 2*k - 27.\nAnswer: 3*k - 86","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -190, -378, -574, -784, -1014, -1270, -1558, -1884?\nAnswer: -2254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y + 13. Let p be d(-4). What is the second smallest value in -3, p, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 14. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -3 - 0) + (1 - -2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -8. Is 12 a factor of (27\/6)\/3*390\/l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -20129*a**4*v + 61*a**2*v + v - 3365202 wrt a.\nAnswer: -80516*a**3*v + 122*a*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-2) + 55743\/111282. Which is greater: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in -0.3, -19, 322, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 3*f**2 + 3*f + 1. Suppose 2*s - 2*v = 8, -s - 3*v - 6 = -2*s. What is the tens digit of d(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 4*o + 3*o = 5*o - 3, -2*y - 2*o + 28 = 38 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 423992*v + 20 = 423982*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 766349, 1532753, 2299157, 3065561, 3831965?\n\"Answer: 766404*m - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 36\/(-28)*147\/(-63)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.597235ng to milligrams.\nAnswer: 0.000004597235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1576560?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -13*v**3 - 475*v + 3604. Let f(w) = -21*w**3 - 954*w + 7206. Let q(c) = -3*f(c) + 5*h(c). Differentiate q(p) with respect to p.\nAnswer: -6*p**2 + 487","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -328 (b) 0.14 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000440964 rounded to five dps?\nAnswer: -0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69598373.\nAnswer: 13, 97, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 83 = -79 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 3) to base 11\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-12)\/(u*u\/(u\/(u\/u**(-2\/17)))))\/(u\/(u**(-6)*u))**(-39\/2) assuming u is positive.\nAnswer: u**(1749\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 take away 418161134?\nAnswer: -418161134.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 9:44 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 205*(-2)\/(-18) - -1. Let n = b + -24. Suppose -10 + 4 = -4*c - 2*k, -8 = -4*c - 4*k. Which is greater: n or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 66991 + 10*p - 66991. Let h(s) = -2*s**2. Give h(f(d)).\nAnswer: -200*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 98 and 1810480?\nAnswer: 12673360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -2\/25, 2, 1\/12, 25?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in 1, -2\/13, -2, -3.35?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 100\/(-8)*-1 - (-4)\/(-8). Solve c*y - 6 = 10*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -11 - 2 + 59 + 0*u - u. Is l(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47822023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 332, 1, 6, 3, 10 in decreasing order.\nAnswer: 332, 10, 6, 3, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29617 is divided by 59?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**3 - 5*b**2 + 5*b - 15. Let q be x(-9). Let z = -656 + q. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**5 + 12*q**4 + 23676*q**3 - 1249062*q**2 + 20874327*q - 76102710 = 0 for q.\nAnswer: -109, 5, 34, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.44995 + -0.14995. Which is the second biggest value? (a) 4 (b) -2 (c) -0.1 (d) 0.03 (e) w\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + -1 + 0 + 15. Let t = x + -111. Let p = t - -247. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 11 - 4 = 0, -4*l + 2*f - 2 = 0. What is the common denominator of (l\/40)\/(8\/1380) and 6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 33*v**5\/2 + 342*v**4 + 1779*v**3 + 1128*v**2 - 3591*v\/2 - 1470 = 0. What is v?\nAnswer: -140\/11, -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47941 divided by 2.\nAnswer: 47941\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 27 + -26 + ((-10)\/(-8) - 1). Let w be (-1)\/2 + (-3235)\/30. Let f = 108 + w. Sort f, 2, u, -3\/13 in descending order.\nAnswer: 2, u, -3\/13, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -191694955 and 1.02475.\nAnswer: -191694953.97525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 11195221, 11195220, 11195219, 11195218?\n\"Answer: -l + 11195222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11)\/(7\/28*-2). Suppose m*w - 31*w + 1170 = 0. Does 62 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/12345 and 179\/360.\nAnswer: 296280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 - 21. Suppose q*k - 4*f = 1442, -2*k = 3*k - 2*f - 1436. List the prime factors of k.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h + 12. Let r be s(15). Let n(t) = -t + 7. Determine n(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = 3*w - 73. Suppose -8 = -4*b, 4*o - o - 5*b = w. Solve -3*s + s = -5*t - o, 3*s - 3*t = 21 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23257124 and 890?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001001100111000001010 - 100100?\nAnswer: -10001001100111000101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2 - 912*i + 28880.\nAnswer: 4*(i - 190)*(i - 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 1578 = -2*v + 7*v, 4*r = 4*v - 1284. Suppose 4*i - 1096 + v = -2*l, -3*i + 1152 = 3*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*o - 29*o + 19*o.\nAnswer: 7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160300 is divided by 269?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.00247 * -504\nAnswer: -1.24488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*f + f. Let g be (-3)\/(f + (0 - 3)). Suppose 0 = g*m - 4*z - 69, -4*m - 3*z + 88 = -7*z. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -95 + 101. Let r(p) = p**2 - 10*p + 4. Determine r(b).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rvc when three letters picked without replacement from raiiccv?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 27\/2 of a millimeter?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 477452 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: Expand (251 + 40*b - 251)*(-b - 3*b + 2*b + (-5 + 0 + 3)*(3 - 3 - 3*b) + 38 - 38 + 5*b + 0 + 0 - 2*b).\nAnswer: 280*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 - 4*x + 17. Calculate z(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(1\/31))\/u)\/(((u*u**(3\/10))\/u)\/u) assuming u is positive.\nAnswer: u**(227\/310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1653342 (base 11) in base 4?\nAnswer: -22233113302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of c**5\/20 - 5*c**4\/6 + 2*c**3 - 13*c**2\/2 - 106*c. Calculate u(9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -10*z**2 - 3 + 4 + 7*z**4 + 4 - 5*z. Let x(h) = -4*h**4 + 5*h**2 + 3*h - 3. Let i(v) = 3*a(v) + 5*x(v). Find the third derivative of i(o) wrt o.\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - ((-5 - -5) + -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14716*o**2 - 3099*o**2 - 7327*o**2 + 17415*o**2 + 5568*o**2)*(3 - 3 - o) to the form z + q*o**3 + y*o + n*o**2 and give q.\nAnswer: -27273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.411 + 0.011. What is the closest to -3 in 4, t, 2\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6979 - 3124. Suppose 20*p = 17*p + u. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8263505.\nAnswer: 5, 1652701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 332323 + 2?\nAnswer: 332331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 309366165 to the nearest integer?\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-143 - 132 + 300)*((5 - 2 - 4)*(-2 + 1 + 0) - 4 - 4 + 6)*(p - 6*p + 3*p) in the form k*p + q and give k.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*b - 18*b - 10*b**2 + 31*b)*(-3*b + b + b).\nAnswer: 10*b**3 - 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 14) to base 2.\nAnswer: 101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -3*g + 12, -6 - 7 = -4*q + g. Find the common denominator of -37\/9 and (-425)\/30 - q*1.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -g + 7, 0 = 4*v + g - 11 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (213559\/1245 - 113) + (-16)\/30.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -68*g**2 + 166*g**2 - 88*g**2 - 16*g**3 wrt g?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 961 = 6953. What is the hundreds digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + 7*q - 62. What is r(-12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1422138 (base 12) to base 14.\nAnswer: 76b500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h - 1. Let y be o(2). Let c = y + -2. Let n be 6*((-6)\/9 - c). Solve -k + 9 = n*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134340 rounded to the nearest 1000?\nAnswer: 134000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.85 - -0.9. Let g = d - -31.55. Let q = g + -20.6. Round q to the nearest integer.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 4*i + 18 = 0, 4*i + 10 = -6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**3 + k**4 - k + 4 + 4 - 9 + 3*k to the form i*k**4 + m*k**3 + g + l*k + a*k**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/40 and -95\/69964.\nAnswer: 699640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*v + 11*v + 2*v - 19*v to s*v + p and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 19 (b) 5 (c) -1\/8 (d) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8948 is divided by 2234?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 247\/4 - 7 - ((-75)\/(-12))\/(-5). What is the greatest common divisor of 280 and l?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/16))**(2\/57) assuming l is positive.\nAnswer: l**(1\/456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -151 - -457\/3. What is the closest to 1\/2 in f, 3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -224, 2\/15, 0, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3690.\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000047 to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j - 8149 + 8148 + j - 180*j**2 to g*j**2 + b + u*j and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**2 + 115*i - 185. Determine g(53).\nAnswer: 292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n, -2*n + 548 = c - 4*n. Suppose 3*j + c = 5*j. List the prime factors of j.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -5. Let p(w) = w**3 + w**2 - w - 1. Let n(h) = -21*h**2 + 8*h**2 + 4*h + 7*h**2 + 8*h**2 + 2. Let j(l) = z*p(l) + n(l). Factor j(s).\nAnswer: 2*s*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 5*i + 2. Let r be b(5). Let u = r + 2. Suppose -q - 24 = -5*q + u*x, x - 5 = 0. Solve -o + w - 5 = 0, q = -7*o + 3*o - 5*w for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*a**4 + 6028 - 3*a - 11231*a**3 + 11225*a**3 - 6034 + 6*a**2)*(0 + 5 - 1) as q*a**3 + n*a**4 + p + u*a**2 + o*a and give q.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 - 37.19. Let d = 3 + q. Let s = 3.19 + d. Which is the second biggest value? (a) -0.5 (b) s (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 - 18. Let a = c - 22. Let i be (2 + (-7)\/4)*6. What is the nearest to -2\/5 in a, 0.1, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*p**2 + 225 - 225)*(-36 + 36 + 13*p + (3 - 3 - p)*(-1 + 6 - 3) - 5*p + 2*p + 4*p).\nAnswer: -408*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7 - (2 + 1)) + -2. Suppose -s*b = -3*b. Solve b*k + 2*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 131 + -186. Let z = f - -14. Let j = z - -44. Sort 2\/57, 0.1, j in ascending order.\nAnswer: 2\/57, 0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + 1065*p + 257142. Give d(-370).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s. Let a(f) = 1296*f**2 + 2*f - 85. Determine n(a(j)).\nAnswer: 1296*j**2 + 2*j - 85","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1363634 by 1.\nAnswer: 1363634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22986, 45991, 68996, 92001, 115006?\nAnswer: 138011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 5730191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.4401456 kilometers?\nAnswer: 440145600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269 = -3*j - 3*l + 340, -201 = -j - 3*l. Let g = -201 + j. Solve g*x = -x + 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + (-6 - (11 + (18 - 30))).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -17598*n**2 + 100*n + 9. Let z be d(-25). Round z to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4511, 22593, 54243, 99461, 158247?\nAnswer: 230601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 456 + -3?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2839087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*y**4 + 1195*y**3 + 156 + 5*y**4 - 1194*y**3 with respect to y.\nAnswer: 52*y**3 + 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-15)\/m**(1\/17))**(-5\/2))**(-38) assuming m is positive.\nAnswer: m**(-24320\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101001100 (base 2) to base 14.\nAnswer: 19a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3827246 divided by 1913623\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 7609*h + 12 - 2172*h + 1578*h)*(-6*h + h + 4*h).\nAnswer: -7015*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1, -26, -89, -208, -401, -686, -1081, -1604?\n\"Answer: -3*i**3 - i**2 - i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5193.42+-3\nAnswer: 5190.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -19 - (-5 - 30) - 10\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -530 divided by -53.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1181 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1351565, -2703129, -4054693, -5406257?\n\"Answer: -1351564*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 105*a**4*c**2 + 2*a*c + 1702*c**2 wrt a?\nAnswer: 420*a**3*c**2 + 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ydyydddydyyyd. Give prob of picking 3 y.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3848 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*n**2)*(-n + 0 + 0) + (2 - 2 + 4*n)*(-n**2 - 4*n + 4*n).\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*j**2 - 5229*j - 128669 with respect to j.\nAnswer: -24*j - 5229","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 110*x**2 - x + 1. Is h(1) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -609 divided by -12?\nAnswer: 203\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zqfhqqfhhbqhqqq. Give prob of picking 1 h, 1 q, and 2 f.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-5) + 1 + 24\/(-85)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 4*b**2 + b - 41. List the prime factors of x(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56, -51, -42, -29, -12?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.3 + -9. Let z be ((-9)\/(-84))\/(5\/20). What is the closest to z in 0.5, k, 3\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 5, 3 in decreasing order.\nAnswer: 5, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g*(g*g*g**11)\/g)*g**(-2\/37) assuming g is positive.\nAnswer: g**(-446\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a year?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**3 + 43*d**2 - 21*d + 13. Suppose 5*x - 130 = -5*z, -3*z + 26 - 11 = 0. Let s be n(x). Solve 3*g + 1 = -o, 0 = 5*o + 2*g - 8 - s for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 183 + -112. Let q = k + -70.95. Is -0.3 less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7917539*q**2 - 6*q - 75779280?\nAnswer: 15835078*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 1\/11 (c) -2\/7 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -g**6\/120 + g**5\/60 + 3*g**4\/8 + g**3\/3 + 467*g**2. What is v(4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 2*k + 50. Suppose -10*y + 7*y = 0. Let q = -99 - -117. What is the remainder when d(y) is divided by q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.5 * -0.4062.\nAnswer: -3.4527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 + 8*a + 276. List the prime factors of g(52).\nAnswer: 2, 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*w - 73*w + 48*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000263 to 6 decimal places.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 7:52 PM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 1 = 5 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 4*f + 9. Let x be (-6)\/(-9) - (-30)\/9. Suppose -x*k - 3*g = -23, 4*g + 3 = -k + 12. Does 3 divide n(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 224*q**2 + 3*q + 4. Let u be b(-1). Let h = u - 223. Factor -6\/5*l**h + 22\/5*l - 12\/5.\nAnswer: -2*(l - 3)*(3*l - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 4*n - 4. Suppose -20 = 5*m, -n*u + 25 = -4*m - 63. Is u a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 198 divide 300498858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-15))\/(2\/(-50)). Let l(p) = -p**3 + 9*p**2 + 12*p + 12. Let d be l(q). Let x = -19 + d. What are the prime factors of x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 4*q - 829, -3*q + 495 = 7*h - 4*h. Let a = -167 + h. Solve -v + 4*t = -15, 0 = -4*v - 3*t + a*t - 8 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 459 is divided by 76?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3802*v**6 - 2266*v**5 + 26695236*v**2 + 1 wrt v?\nAnswer: 456240*v**3 - 135960*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15925 and 8645.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 60957400 to the power of 1\/2, to the nearest integer?\nAnswer: 7808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(136)*1)\/(sqrt(8) - (sqrt(80)\/(sqrt(50)\/sqrt(5)) - sqrt(8))).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + -6*3\/(-3). Let f(p) = 2*p**2 + i*p**2 - 3*p - 3*p**2. Is f(3) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 9 + 27426040*f - 27426030*f.\nAnswer: 10*f + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-135)\/(-2 - -11) + 6 - (-9 - 0). Which is bigger: 0.2379 or s?\nAnswer: 0.2379","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 44*n + 344 + 96 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((5642\/14)\/(-31)).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*o + 22*o - 2*o - 8*o to the form b + p*o and give p.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -103, -331, -689, -1177, -1795?\nAnswer: -2543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -r + 15. Let u = 11 + r. List the prime factors of 2\/u + (-142)\/(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a kilometer in meters?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-44)*(-6 - (-646)\/95)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.046767 centuries in decades?\nAnswer: 0.46767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d - 89*d - 77*d - 661*d. Let i(j) = j**2. Give i(h(a)).\nAnswer: 682276*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/5)*v)\/v**7*(v**0\/v)**8 assuming v is positive.\nAnswer: v**(-68\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.3 and -28506.26036?\nAnswer: 28504.96036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2075*q + 2 + 3 + 2074*q)*(-2*q + 3*q + 0*q).\nAnswer: -q**2 + 5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/7 - 85*r**2\/7 - 911*r\/7 - 365.\nAnswer: -(r + 5)*(r + 7)*(r + 73)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1239348 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4302*o + 56 = -4294*o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10.8 + 11.8. Put -1, 2\/5, 4, m in increasing order.\nAnswer: -1, 2\/5, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(136) - (sqrt(136) + -3*-2*sqrt(136) - sqrt(136)))\/sqrt(8))**2.\nAnswer: -1275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5699 and 760.6.\nAnswer: 4334659.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2382599*x**3 + x**2 - 2*x - 3469856?\nAnswer: 14295594*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1392, -21, 14 in ascending order.\nAnswer: -21, -2, 14, 1392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 - -17. What is the second biggest value in -5, 0.1, -0.1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + 0 - 2*7. Let q = 22 + t. Suppose 2*u = 5 + 1. Solve u*j = -4*m - 10, -j + m - q = 3*m for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-80)\/150 - (-6)\/5. Which is the second smallest value? (a) -3 (b) 3\/7 (c) r (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/((-4)\/(-2)))\/((-12)\/3)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -85*q + 10. Let s be c(-8). Let j be s\/4*6\/9. Suppose -d = -5*v + j, 3*d - 97 = -3*v - 2*d. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.19 * -17.\nAnswer: -3.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19404118?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/20 of a day?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 10476*p - 5202*p - 5276*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 6*j**3 - 39*j**2 - 25*j + 244. Let z be p(7). Solve -z*o = -207*o + 72 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -35332, -16, -4, -0.02?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 4*o**2 - o + 5. Let f be u(4). Let b(r) = 5*r - f + 1 - r**2. Determine b(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0811*91\nAnswer: 7.3801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/3))**(-31))**(-3\/8) assuming r is positive.\nAnswer: r**(31\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1085871, -1085833, -1085795, -1085757, -1085719, -1085681?\nAnswer: -1085643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*k = -y + 26*k - 11, 4*y + 36 = 3*k for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/10 (b) 5 (c) -2\/9897\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 111 - -1?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 9) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 36 = u, 3*q - 2*u = 2*u + 27. What is the units digit of 2\/q + (-14)\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25735, 25648, 25569, 25504, 25459, 25440, 25453, 25504?\nAnswer: 25599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 376338*-2.54.\nAnswer: -955898.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -9*p + 750. Let o be p*(12160\/(-6))\/(-2). Round o to the nearest ten thousand.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.632893 micrometers to millimeters.\nAnswer: 0.002632893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -l**6\/120 - 7*l**5\/60 - l**4\/6 + 2*l**3\/3 + 22*l**2. Calculate j(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -502b55 (base 12) to base 7\nAnswer: -13422113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1790\/12 - 10\/60 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/3)\/(2082\/128043)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2. Let f(v) = -2*v**2 + 11*v + 11. Let m(y) = -f(y) - 4*p(y). Let q be m(-5). Let k be 64797\/q + (-1)\/2. Round k to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*i**2 + 7*i**2 - 8*i**2 + (0*i + i + i)*(-1648*i - 983*i + 643*i) + (2 + 1 - 2)*(0*i**2 + i**2 + i**2) in the form m*i**2 + k*i + c and give m.\nAnswer: -3964","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -116*x - 3600 + 3600 to t*x + u and give t.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 873 - -1529. Let r = -1347 + k. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1555322 + -4?\nAnswer: -1555330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -8. Solve 0 = -i*g - 7 - 2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - 5)*1*7. Let t = l + 11. Find the second derivative of -3*s**t + 0*s + 3*s - 2*s**4 wrt s.\nAnswer: -60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.837 rounded to one dp?\nAnswer: 41.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-19)\/7 - (-33 + 30). Which is the closest to o? (a) -0.07 (b) 2\/3 (c) -0.1 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + 1)*(3 - 3 - 1) + 1 - 4 + 0)*(5*y**3 - 8*y**3 - 4*y**3).\nAnswer: 28*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 396 and 407627?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -24.5 and 0.15?\nAnswer: -3.675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9749 + 9747)\/(2\/(-8) - 26\/8)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/14 and 7\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1349 + 2984. Does 70 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -5921*d + 5917*d + 46, -6*l = d - 6 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-1\/4)\/a)\/a)**(-1\/21)\/(a**(1\/4)\/a)**(6\/7))\/(((a**(2\/13)*a)\/(a\/(a**(-1\/7)*a)))\/(a*a**(-1)*a\/a**(-8)*a)) assuming a is positive.\nAnswer: a**(3545\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 324736 and 1542496.\nAnswer: 6169984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1666 (base 11) to base 12\nAnswer: -1295","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*p + 42 - 55 = 25. Factor 0 + 3\/2*i**3 + 0*i + 15\/2*i**p.\nAnswer: 3*i**2*(i + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/17)*t**0*(t*t**3*t)\/(t\/(t\/t**(-5)*t)) assuming t is positive.\nAnswer: t**(185\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 6 = -4*i. What is the nearest to -1\/2 in -2, 0.2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s. Let n be m(6). Suppose 5017*t - 5006*t - 33 = 0. Factor 3*o**2 - 4*o**5 - 3*o**t - n*o**3 - 27*o**3 + 25*o**2 - 8*o + 20*o**4.\nAnswer: -4*o*(o - 2)*(o - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203543 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5084 = -176*z + 18*z - 5502 for z.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4 + 0.1. Let l = 235 + -238. Sort x, l, 2\/7 in descending order.\nAnswer: x, 2\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 450 and 3471300?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14.9596 - 6787957.\nAnswer: -6787942.0404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 9*a. Suppose n + 4*m - 10977 = 2767, -2*n + 5*m + 27423 = a. Suppose 2724 = 5*q + n. Round q to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3003 (base 5) to base 7\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 43704 and 548?\nAnswer: 5987448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 42589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 27990077 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.153 and 4.35927.\nAnswer: 4.51227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-10 - (20 - 25)). Let c(o) be the first derivative of 0*o + 5 + z*o**2 + 1\/3*o**3. Let h(n) = -53*n**2. What is h(c(f))?\nAnswer: -53*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -342 divided by -87\nAnswer: 114\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is nine sixteenths of a day in minutes?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -998377901 and -29.6.\nAnswer: -998377930.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/56)\/((-188)\/1*5\/(-630)*-9)?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-1\/3))**(2\/35) assuming x is positive.\nAnswer: x**(8\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away -0.4871?\nAnswer: 0.8871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 40, 76, 124, 184, 256?\nAnswer: 340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 110580896369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -89 - -90. What is the nearest to j in -0.3, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 1, 1.1, -1\/5, -3, 124?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76f481 (base 16) to base 5.\nAnswer: 3443431331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6*(-8*(-3)\/(-18) + 2). Calculate the smallest common multiple of 0 + 27 - (f - 5) and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2230946 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.836061ug in milligrams?\nAnswer: 0.006836061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-0.3519.\nAnswer: 1.4076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 8*d**2 + 2*d + 1. Let f be g(2). Let p = f + -71. Let r = 55 + p. Calculate the remainder when r is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12179370\/1697 - 7177. Which is smaller: l or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16883*-4\nAnswer: 67532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 4*o**2 - 3*o**2 + 3*o**2 + 5 + o**3 + 2*o**2 - 8*o. Let g be s(-7). Let c be 0 + (4 - 2 - 2). Solve -1 = -h + 4, c = -2*k + 4*h - g for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -379 - -3025\/8. Suppose -2*g = 3*h - 49 + 33, 2 = h. Which is the closest to d? (a) 0.5 (b) 0 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*c - c - 5*o, -5*o + 5 = -c. What is the remainder when (77 - 4\/(-2)) + c is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 5:19 PM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95.5*4138.\nAnswer: 395179","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k - 4 = -17*k. Solve 2*p + 4 + 6 = 0, -5*l = k*p - 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -18*j**2 + 19. Let h(u) = 16*u**2 - 20. Let n(i) = -5*c(i) - 6*h(i). Let l(w) = -2*w**2 + 9. Let d(f) = -11*l(f) + 4*n(f). Give d(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.1? (a) -6 (b) 0.5 (c) -8.72\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3 + (sqrt(684)*1 + 3 + -4 - 1*(-1 + sqrt(684))*-4)**2.\nAnswer: -300*sqrt(19) + 17130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 10:21 AM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**3 - 4*b**3 + b**3)*(1 + b - 1) + 2*b**4 + 2*b**2 - b**4 - 8*b**2.\nAnswer: -2*b**4 - 6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a55718a - 2?\nAnswer: -a557190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 1 - (-270)\/15. Let s = 5 + 3. Suppose 11 + s = v. What is the greatest common divisor of b and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 9:26 PM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**2. Let f(d) = 3*d + d + 0*d - d. Determine j(f(y)).\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -774 + 2314. List the prime factors of z.\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**22)**(1\/13)\/(d**(-3\/5))**(7\/4) assuming d is positive.\nAnswer: d**(713\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.77*0.0575.\nAnswer: 0.044275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2405131787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z = -s + 12*z + 3520000, -2*z = 0. What is s rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 5*c - 4*i, 2*c - c - 3*i - 21 = 0. Find the second derivative of 42*g**3 - c*g**4 - 42*g**3 + g wrt g.\nAnswer: -72*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 874*p**2 - 102142*p + 16955. Give m(-735).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12887*f**3 - 1457*f**2 + 13*f wrt f?\nAnswer: -77322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2. Let z(w) = 798*w. Let x(h) = -21*h. Suppose k - 5*f + 9 = 0, -12 = -0*k + 2*k - 4*f. Let m(q) = k*z(q) - 154*x(q). Determine t(m(c)).\nAnswer: 1764*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in -1, 0.1, -5, -19?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5019379831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 365087?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/2968 and 67\/1301748?\nAnswer: 137985288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/3, -5, -0.317, 1\/6, -0.2, 590?\nAnswer: 590","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 890 - 890.00786. What is u rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -95 - -473\/5. Let h = 13.7 - 13.6. Put h, d, 1 in ascending order.\nAnswer: d, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x + 1. Let g be c(8). Suppose 4*a + 23 = 5*y - 12, -g = y + 4*a. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - 5 - 2 - (-1 + 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 20 + 11 - f**2 + 109*f**3 to the form m + z*f**3 + r*f**2 + h*f and give z.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence anf when three letters picked without replacement from {f: 3, a: 4, n: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*0.008.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a microgram in nanograms?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-1 + -1)) + -39 + 42.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**3 + 4*j**3 + 3*j**3 + (0 - 1 - 1)*(3*j**2 - 3*j**2 + j**3) + j**3 - 2*j**2 + 2*j**2 + 19*j**3 - 411*j**2 + 411*j**2.\nAnswer: 22*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -78 + 234. What is the greatest common divisor of 24 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 3*p**2 - 2*p - 4. Let i be h(5). Suppose -3*j = 3*r - 4*j - 275, -4*j + 250 = 3*r. Calculate the greatest common factor of r and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 424 a factor of 2707889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 29 = 49 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**3 - 27*l**2 + 14*l + 409. Determine x(11).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2466 times -0.2?\nAnswer: -493.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (395062\/(-4293) - -92) + (-26663)\/(-567).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3\/7 of a week?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 22*h + 1. Let w(a) = -25*a**2. What is w(t(l))?\nAnswer: -12100*l**2 - 1100*l - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 2*x - 3*x + 57, -20 = -4*x. Let j(z) = 5*z - 14. Let l(n) be the third derivative of -n**4\/8 + 3*n**3\/2 - n**2. Determine c*l(m) + 5*j(m).\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 - 33303?\nAnswer: -33223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22 in -156, 1\/3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -317 + 312. Suppose -3*g = 3*y - 12, -2*g - 5*y + 6 = -17. Let k be (6\/(-4))\/(-3) + g. What is the smallest value in t, k, -0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 26\/(-10) - (-12)\/(-30). Let l = 10 + -14. Is t less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**4 - 1110*a**3 - 98244*a**2 - 362152*a + 27294960 = 0.\nAnswer: -70, -22, 14, 633","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-1\/7)*b)**29\/((b**(12\/7)*b)\/(b*b**37\/b)) assuming b is positive.\nAnswer: b**(617\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 9:28 AM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2 + 59402*z + 594220.\nAnswer: -2*(z - 29711)*(z + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + -0.2. Let q = -79\/5 + 16. Which is the nearest to x? (a) 4 (b) -3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, l: 3, i: 1, f: 2, b: 3, x: 2}. What is prob of sequence ll?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*x - 5*x + 11*x)*(-11*x + 2*x + 0*x) + x - 1 + x**2 - x in the form v + n*x + g*x**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48628, -54431, -70170, -100813, -151328, -226683, -331846, -471785?\nAnswer: -651468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12281279 or 12281278?\nAnswer: 12281278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 583 a factor of 33953076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 5*j - 1, 2*j + 1 = 2*k - j. Let g = -7 + 11. Let s(a) = g*a - 8*a - 3*a. Give s(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96712 is divided by 86.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3840990 and 117150195.\nAnswer: 234300390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 181750 and 500.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of (-330)\/(-495)*(0 - 8856\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -237, -236, -235?\n\"Answer: i - 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 591688501 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 868258 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 6*r - 565. What is s(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, 0.3, -1\/122, -0.4, 28?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**5 - u**4 + 2*u**4 + u**4)*(-4 + 2 + 0)*(97 - 36 - 49).\nAnswer: -24*u**5 - 48*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 12 = 3*m. Suppose -5*s - 7 = 3. Let u = s + m. Is 6 bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/5)\/d*d)**(2\/5) assuming d is positive.\nAnswer: d**(2\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10591060 is divided by 2261.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 8*g - 801. Give h(75).\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*t)*(-5*t**3 + t**3 + 3*t**3) + t**4 + 3*t**2 - 3*t**2 + 15 + 2*t**4 - 15 + (0 + 0 + 2*t)*(-2*t**2 + 2*t**2 - 2*t**3).\nAnswer: -3*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -1 + (2 - -6 - (2 - 3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 3*z = 0. Let d(x) = x**3 - 7*x**2 - 20*x + 42. Let s be d(9). Solve z = 5*j - 4*t - t, -j = 5*t - s for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 233 - 244)*(-4*j**5 - j**5 + 2*j**5 + (-j**5 - 4*j**5 + 7*j**5)*(-2 + 0 + 0)).\nAnswer: 3311*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -57985 minus 0.16?\nAnswer: -57985.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -m + 112*m**2 + 16328 - 16328 as k + n*m + p*m**2 and give p.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oz when two letters picked without replacement from {e: 1, z: 4, r: 3, o: 4, w: 1, v: 2}.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174 + 172 - 2418*b**3 + 702*b**3.\nAnswer: -1716*b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.5 - 0.8. Suppose -x = -4*i + 3*x + 32, 4*i + x - 42 = 0. Let f be (-2)\/i*(2 - 6). What is the closest to v in f, 5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 17. Let m be j(0). Suppose 4*u - b - 28 = -5*b, 5*u - m = b. Suppose 8*h + 1128000 = u*h. What is h rounded to the nearest 10000?\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 14) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -325, -645, -965, -1285, -1605, -1925?\n\"Answer: -320*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39309 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 6*u**2 - 15 - 14 + 2*u - 9 + 39. Calculate o(-2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -10*((-15)\/6 + 2). Let n(f) = 2*f + 1. Let u be n(i). Solve -x - u = 3*w, -4*x - 5*w = -3*w - 6 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*i**2 + 55*i**2 + 46*i**2 - i - 1708*i**3.\nAnswer: -1708*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-110)\/(-15) - (-336)\/(-42). Let b = -3.88 + -0.12. What is the second biggest value in -2\/17, -2\/9, n, b?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + (1\/3 - (-64)\/42). Let b be 0 + 2 - (1 - -2). Which is smaller: x or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + o + 1. Suppose 2*n + 8 = 6*n. Let q be -4 + n - (-3 - -1). Suppose q = 7*d - 3*d - 3*y + 6, 4*d = 4*y - 8. Calculate k(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 448.8 + -449. Which is the closest to 1? (a) s (b) -5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 404, 411, 422, 437, 456, 479?\nAnswer: 506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-2))\/((-4)\/(-8)). Suppose -2*p - 3*y = -6*p - 7, -f = 4*p + y. Let n be 1\/(p\/(-4)*-6). Which is greater: n or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -335 - -334. Suppose -4*m + 11 = -5. Which is the closest to z? (a) m (b) 0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -3\/5, -0.069, 0.5, 150?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 178555, -1, -81 in descending order.\nAnswer: 178555, -1, -4, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1247.\nAnswer: 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 890 and 0.1345.\nAnswer: 119.705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 1743*h**2 - 5*h. Let y(k) = -4358*k**2 + 12*k. Give 12*w(a) + 5*y(a).\nAnswer: -874*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67331438?\nAnswer: 2, 33665719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nppwgmnnmwampw. What is prob of picking 1 w and 1 m?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 264 divide 42145488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h - 264 = -22*h - 0*h for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-16)*6*100\/(-30)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -o**3*q**2 + 2503*o**3*q + 2098*o*q**2 - o*q wrt q.\nAnswer: -2*o**3 + 4196*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8878 to the power of 1\/2, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 3)*(200*c + 594*c + 269*c).\nAnswer: -3189*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 4)*(-2 - 2*p**2 + 2)*(-1 - 2 + 1).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -60*r**2 - 5*r - 1. Let s(j) = -58*j**2 - 6*j - 1. Determine 6*c(b) - 5*s(b).\nAnswer: -70*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1.259, -4\/13, -42, -3, 1\/2?\nAnswer: 1.259","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nv when two letters picked without replacement from {v: 2, n: 5}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 29410 to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16 times -5?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -3*((sqrt(162) - (sqrt(162) - ((sqrt(162) - (sqrt(162) + 2*sqrt(162))) + -4))**2) + 5).\nAnswer: 621*sqrt(2) + 4407","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(19) + sqrt(19)*4) - (-5 + sqrt(19)*-5))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 80*l**3 - 169*l**3 - 7*l**4 + 84*l**3 - 1 - 2*l**2 - 2*l to d + a*l**2 + m*l**4 + o*l + q*l**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 156 and 285320360.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2862, -5724, -8586, -11448, -14310?\nAnswer: -17172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1889156, -1889150, -1889142, -1889132?\n\"Answer: z**2 + 3*z - 1889160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21852439?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 190 take away -534?\nAnswer: 724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/5 and (226\/2265)\/((-128)\/(-160))?\nAnswer: 4530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -178622?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, f: 5, a: 1, z: 1, s: 3}. Give prob of sequence szx.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of 239*m**7\/14 - m**5\/20 + 2579*m**4\/6 + 3*m + 238. Find the third derivative of a(n) wrt n.\nAnswer: 43020*n**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v - 4614*r + 4618*r = 34, -25 = -7*v - r for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*g + 11 = -u - 15*g, 11 = -3*u + 4*g for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wgwbudl. What is prob of sequence gl?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4492*s + 358*s - 179450 for s.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0 + 1016*a - 299*a**2 + 0 - 1727*a wrt a?\nAnswer: -598","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 926 is divided by 62?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/5 at least 4\/507?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 d when three letters picked without replacement from dwdwdwddddd.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 0.3, -4.8, 4 in increasing order.\nAnswer: -4.8, 0.3, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 584489 is divided by 29191.\nAnswer: 669","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 217, 108, -1, -110?\n\"Answer: -109*u + 326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 11:12 AM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19021*f*h*p**4 - f*p**2 - 14*f*p - 14*h*p**4 - 21983*h*p + 5*h wrt p?\nAnswer: 456504*f*h*p - 336*h*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -4*z**3 + 432*z**2 + 24276*z + 23840 = 0.\nAnswer: -40, -1, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91910487.\nAnswer: 3, 30636829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -862*v = -496*v - 2196 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 83 + -40. What is the remainder when x is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 4*y**2 + 5*y + 6. Let v be (-6)\/(-8) + (-2)\/(-8). Let b(i) = i**2 + i + 1. Give v*a(g) - 5*b(g).\nAnswer: -g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5\/3 - 2. What is the nearest to q in 1, 5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 3 - 13*w**2 + 2*w + 1 + 11.\nAnswer: -13*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 357933*c*j + 671614*c wrt j?\nAnswer: 357933*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/62020 and -65\/2016.\nAnswer: 4465440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 33919*p**2*y + 231594*p**2 wrt y?\nAnswer: 33919*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1498556 - 1498556 - x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(612) - (1 + (-1 + sqrt(612) - sqrt(612)))**2) + (sqrt(612) - (5 + -1 + sqrt(612))**2) + -5.\nAnswer: -629 - 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 8, v: 5, r: 2}. Give prob of picking 2 v and 1 r.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 74.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sgn when three letters picked without replacement from fnssfsggfezgsfszefsf.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + 13.11. Let q = d + -0.18. Which is the smallest value? (a) -5 (b) q (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 1. Let i be 1 - ((-25)\/5)\/5. Let j(o) = -15*o + 10. Let v(n) = i*p(n) - j(n). What is the derivative of v(a) wrt a?\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*r = -100*r - 45. Solve -r*m = -15 - 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24171253787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + o + 1. Let a = -14 + 21. Let h = a - 7. What is q(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/((-72)\/15))\/(-1)*(23 + (-12751)\/410)\nAnswer: -27\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1383 + 1642?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*i**2 + 120*i**2 + 2*i**2 - 98*i**2.\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**3\/3 + 90*v**2 + 7894*v\/3 + 2542 = 0. Calculate v.\nAnswer: -93, -41, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 11:38 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 14. Let v = -22.8 - -23. What is the smallest value in v, -3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9833298499067 take away 0.4?\nAnswer: 9833298499066.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, i: 4, l: 4}. Give prob of picking 1 l, 1 x, and 1 i.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -246 - -240. What is the hundreds digit of -1026*(-9 + (-48)\/t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28956 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -159 + 500 - 159 - 36*i + 8*i**2 - 169. What is l(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18815.\nAnswer: 5, 53, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 156b8 (base 13) in base 7?\nAnswer: 226456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 288*y**2 - 4. Let h(g) = 1. Give -d(v) - 4*h(v).\nAnswer: -288*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1524 = -20*y + 26*y. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {n: 3, m: 5, w: 3, j: 1, e: 5, b: 1}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.1 (b) 380625 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -5, -10, 63 in descending order.\nAnswer: 63, 4, 1, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 + 10 + (12 - 7 - 13) + -2 + 4.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-43)\/6 - (-63)\/45*5. Which is the nearest to -1\/2? (a) z (b) -2 (c) 1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -867575\nAnswer: 1\/867575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1002041379 and 1.\nAnswer: -1002041379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 h when three letters picked without replacement from ahooaaaaaaaaoaahaha.\nAnswer: 13\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.011077989 rounded to three decimal places?\nAnswer: -1.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**2 - 76*t + 1444 = 0 for t.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 765472 and 15108.\nAnswer: 2296416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -260 = -53*d - 110 + 115. Solve 0 = -4*o + 3*y, 69 = -2*o + d*y + 55 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-one fifths of a microgram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 357737769?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1189379 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuoloboolloooob. What is prob of sequence uo?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 2)*(-2*u - 3*u + 2*u)*(3 - 4 - 1).\nAnswer: -24*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**4 + 0*p**4 - p**4 + (15*p**2 + 87*p - 87*p)*(-5*p**2 + 1 + 3*p**2 + 3*p**2).\nAnswer: 17*p**4 + 15*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 120 = i. What is the remainder when 39 is divided by -3*2\/i*-2*10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55404 (base 7) to base 8.\nAnswer: -33140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of t**7\/2520 - t**6\/240 + t**5\/60 - t**4\/3 - 8*t**2. Let h(n) be the second derivative of r(n). Calculate h(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1170, 2372, 3578, 4788, 6002?\nAnswer: 7220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4506*a**5*p + 84*a**4*p - 10*a**2*p - 111*a**2 + 6*a*p - p wrt a?\nAnswer: 270360*a**2*p + 2016*a*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fdkjfkkkfigiki. What is prob of sequence ifi?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-11 - -17)*(-5)\/(-6). Sort v, -1, -4 in decreasing order.\nAnswer: v, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 4. Let g be 1660\/(-5810) - 6*((-13)\/(-21) + -1). Let w(z) = 2 + z - 2 + 0*z + z**3. What is g*w(s) - h(s)?\nAnswer: s**3 + 2*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**2 + 0*g**2 + g**4 + (8 - 8 - 3*g**4)*(-2 + 1 - 1).\nAnswer: 7*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 e when four letters picked without replacement from {k: 2, g: 4, e: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4557\/33075*-45)\/((-2)\/(-30))?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 - -38. Suppose -9 = -l*s + s. Solve 5*o = 5*v, 4*v + s*o = -0*v + 35 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 72 = 18. Let r be (-6)\/21 + o\/42. Is (7\/21)\/(r\/42) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1052947*t**2 + 1053015*t**2 - 2105806*t**2 - t**3.\nAnswer: -t**3 + 156*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 28 = -4*v. Suppose 3*r + 160 = 5*c, 2*r - 77 = -v*c + 19. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8 or 0.034?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2952757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.7 - -1.2. Let u = -1.5 + 1. Let l = u + t. What is the second biggest value in 2\/11, 1\/2, l?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*b**2 - 44*b**2 - 232*b + 47*b**2 + 22 - 25 as f*b**2 + r*b + k and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 922516131?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/7 - 72*f**2 - 64005*f\/7 - 126002\/7.\nAnswer: -(f + 2)*(f + 251)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*w**5 - 4*w**5 + 8*w**5 + (0*w**2 - 3*w**2 + 2*w**2)*(-3*w**3 + 3*w - 3*w).\nAnswer: 18*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 1\/5, -0.5, 6, -2\/7, -1\/1817?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {d: 9, z: 5}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*o - 4*o - 36 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 334397 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (48\/32)\/(2\/28). Solve r - 2 = 2*f - 11, r - q = -4*f for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5782, 22964, 51580, 91612, 143042, 205852, 280024?\n\"Answer: -3*g**3 + 5735*g**2 - 2*g + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 3:27 AM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1352470 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7990 and 376?\nAnswer: 31960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/30 - (-7844265)\/2650. What is the greatest common divisor of k and 160?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -94692 by -156.\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5 = -2. Suppose 0*p - 3*p + 350 = 5*c, 0 = -4*c - a*p + 283. Find o such that -c*o + 9*o**3 - 4*o**3 + 20*o**2 + 10 + 92*o = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*s = -11*s - 15. Let o(j) be the third derivative of 3*j**6\/40 - j**4\/12 + j**3\/6 + j**2 - 10. Calculate o(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 190 divided by 190\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*z - 6581497 + 2003917 = 0. List the prime factors of z.\nAnswer: 2, 5, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.225 - 0.325. Sort q, 0.5, 5, -0.7.\nAnswer: -0.7, q, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 189597677 - -135.4522?\nAnswer: 189597812.4522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(64\/(-24))*(-92)\/(-161).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 302 in descending order.\nAnswer: 302, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -m**3\/3 + 25*m**2\/2 - 2*m + 40. What are the prime factors of w(15)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*u - 1739 + 578 + 621 + 540.\nAnswer: 86*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 8954*j**2 - 6*j. What are the prime factors of a(-1)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -278*d + 84*d + 83*d + 84*d.\nAnswer: -27*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 17\/(-204)*1*4\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -w**4\/12 + 7*w**3\/6 + 7*w**2\/2 - 3*w. Let j be i(7). Solve 7 + 1 = 2*n, -3*h = 2*n + j for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - 0. Let p = -0.5 - -0.4. Which is the third biggest value? (a) p (b) 0.1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228250?\nAnswer: 2, 5, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -10*j + 128. Let c(g) = 6*g - 64. Calculate 7*c(s) + 4*y(s).\nAnswer: 2*s + 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**12*k*k*k**(1\/22)*k\/(k**(-13)*k)*(k\/(k\/(k\/(k*k**(-12)))))\/k assuming k is positive.\nAnswer: k**(837\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 370.82 - 369.82. Which is smaller: -2\/39659 or v?\nAnswer: -2\/39659","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 17*o + 49. Let q(g) = -4*g - 12. Let r(b) = 2*n(b) + 9*q(b). Let w be r(-7). Solve 0 = -w*i + 2*d + 4, 4*d - 2 = -2*i + 5*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2565790 and 34?\nAnswer: 43618430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 40*(4 - (3 + -1)). Suppose -2*v = -v - f. What is the highest common factor of v and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, 113, 455, 1131, 2255, 3941, 6303, 9455?\nAnswer: 13511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1699 is divided by 68.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224 = -2*i - 5*p + 4991, -3*i - 2*p = -7134. Suppose 0 = -3*r - 0 + i. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)\/sqrt(4))\/sqrt(2) + -3.\nAnswer: -3 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jin when three letters picked without replacement from xziziinjiijzjz.\nAnswer: 5\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 18*u - 4. Let z be n(3). Suppose -53*h + 71 + 459 = 0. Calculate the highest common factor of z and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 2\/11, -461, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of -d**5\/10 - d**4\/24 + d**3\/3 + d**2. Suppose -2*z - 3*m + 33 = 37, -4*z - 8 = m. Give v(z).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 451948223?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -49353, 0, 1 in increasing order.\nAnswer: -49353, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/4, -133\/3575, 1\/3, -1\/7, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -164 + 163.9253. Let m = -4.92 + 5. Let o = m + s. Round o to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-24)\/8)\/(96\/(-4)))\/(6\/912)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 140317116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*x + 1 = 0. Let m = -3 - x. Is (m + -1)*(-20)\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -505, -1032, -1557, -2074, -2577, -3060, -3517, -3942?\nAnswer: -4329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -893160*u**4 + 552211*u.\nAnswer: -10717920*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - -3) + 3\/81*-102. Which is greater: -679 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3316 - -3315.99998651. What is f rounded to 6 dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3094?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 16*m = -18*m - 28, -5*u - 32 = -4*m for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 252, -434, -2\/13, -4 in decreasing order.\nAnswer: 252, -2\/13, -1, -4, -434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**4 + 201*y**3 - 204*y**2 = 0.\nAnswer: -68, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of 2 + 1\/2*n**2 + 0*n. Let a(h) = 2*h**2 + 11 - 11 - h**2. Determine z(a(i)).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2546 or -2544?\nAnswer: -2546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 688 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 3*s + (6*s + 3*s - 8*s)*(-7 + 0 + 1))*(-14 + 26 - 3*s - 21) as y*s**2 + d + k*s and give k.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a**3 + 4*a**3 - 30964 - 3*a**3 + 31017.\nAnswer: -4*a**3 + 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 - -28. Suppose f*c - 11*c = 0. Is (c + 2\/3)\/((-18)\/(-8289)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2336\/31536 + (-1130)\/(-54).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*o - 2 = 0. Let j be -3 - 64 - (o + 1). Let d = -49 - j. Is d a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15366 and 21918.\nAnswer: 4317846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - 18*y + 19. Let u be c(17). Is u + 2053 + 1*(-1 + -1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19712*j - 2*u - 366 = -19717*j + 7*u, -2*j + 3*u = 24 - 147 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 422*q = 844*q - 419*q + 123 for q.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -155\/1026 and -137\/3392640?\nAnswer: 10177920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11*113\/((-6893)\/(-122))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t - l + 21, 71*t - 37 = 66*t + 3*l for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002066773019 rounded to seven dps?\nAnswer: 0.0020668","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -123*k**3 + 127?\nAnswer: -369*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 278, -161, -890, -1909, -3218?\n\"Answer: -145*z**2 - 4*z + 427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-132)\/(-146300))\/(2\/2). Is 1 at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 917 + -467. Suppose 98*i = 88*i + l. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137 - 19*l - 10 - 66 + 156 + 182 + 30.\nAnswer: -19*l + 429","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 476 and 280.\nAnswer: 4760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0287 - -12.9713. What is the closest to -1 in j, -0.9, 1?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -12 and 4296.752331551.\nAnswer: 4284.752331551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**4*w\/(w\/(w**(2\/7)\/w)))**(-8)\/((w\/((w*w\/(w\/((w**(-7)*w)\/w))*w)\/w))\/(w*w**1))**23 assuming w is positive.\nAnswer: w**(-989\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00779480535 to 6 decimal places.\nAnswer: -0.007795","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 6 + (14 - 21).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -1\/3 (c) 18 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-52)\/(-65)*(-10)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 4:09 PM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -18923*u**2 + 18924*u**2 - 4220*u**4 + 3 - 2 in the form s*u**2 + i*u + b + k*u**4 + h*u**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -861.8 times 0.1\nAnswer: -86.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*j - 6 = -5*j, -2*j - 4 = -2*y. Let o be 1\/y + (-15)\/(-9). Solve -o*n - 2 = 4, 5*c = n - 22 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/81 and 47\/363078.\nAnswer: 3267702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 0*g = -3*g - 12, -3*g + 6 = -4*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1142, 6234, 20068, 47018, 91458, 157762?\nAnswer: 250304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i\/i**(-6))*i*i**7)**38*(i*(i\/i**(-3))\/i)\/(i\/(i**(1\/2)\/i)*i)*i*i\/((i\/i**3)\/i)*i*i\/(i*(i*i**(-2\/25)\/i)\/i) assuming i is positive.\nAnswer: i**(2329\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70 and 710?\nAnswer: 4970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 4:07 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7.6 and 0.7?\nAnswer: 8.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 + 21. Suppose -x - 7 = 2*x + 2*q, 0 = 4*x - 5*q - k. Sort -4, 2, x in decreasing order.\nAnswer: 2, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -24\/85, 19\/563, -2\/7, 3?\nAnswer: -24\/85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -91702, -183397, -275092?\n\"Answer: -91695*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3288 divided by -411.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 43 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jfzkofh. Give prob of sequence jz.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2902237 - 2902245 + l + 5804482.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 600.03414 - 600. Round j to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 2*g**2 + 1. Let s be t(-1). Let c = -10 + 10. What is the closest to -2\/7 in s, 4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 20*f**3 + f - 1. What is the remainder when 58 is divided by a(1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 23*x - 10 = 12*x + 12*x, 3*x = -21 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 478909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + (-9097236)\/(-300150) + 4\/(-58).\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -15*x**2 + x. Let g(q) = -4*q. Determine g(a(w)).\nAnswer: 60*w**2 - 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of 3*g**3 - g**2\/2 + 17. Calculate b(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 74.9734 - 75. Round y to 3 dps.\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 4.116456 kilograms?\nAnswer: 4116456000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 184598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -130 + 124.4. Let y = v - -5.5992. What is y rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 604248907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 4:58 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2*t - 4*t**3 + t**3 + 5*t**3 to the form a*t**3 + o*t + h + l*t**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 147083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 61, 110, 159, 208, 257, 306?\n\"Answer: 49*h + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 971*p - 2821. Let o be l(3). Calculate the highest common divisor of o and 391.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 0 (c) 62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(112))\/sqrt(2))\/(2*sqrt(28)) + 5.\nAnswer: sqrt(2)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l + 2. Let n be u(-7). Let q be (2\/5)\/(2\/40). Let c be (1 + -1 + 2)*q. Calculate the greatest common divisor of c and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2 - l**2 + l + 2*l**2 + 16 - 4*l - 11. Determine f(-7).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -42263 + -15157441989.\nAnswer: -15157484252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 10 = -w. Let 9 + 4*z**2 - 16*z**2 + w*z**2 - 3*z - 3 = 0. Calculate z.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64.64711 - -3.\nAnswer: 67.64711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -3*k + 2, -1074 = 3*s - k - 1110 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + -11 + (-1 - -2)\/(4\/12). Sort 2, 0, d, -21, 5.\nAnswer: -21, d, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23097 - -0.3.\nAnswer: 23097.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 36\/(-81) + 1496\/(-36) - 1\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (103 + 96 + 196)*(3*k**2 - 3*k**2 + 3*k**3).\nAnswer: 1185*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, z: 2}. What is prob of sequence zez?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 6*z + 7. Suppose -6*f = -2*f - 40. Is d(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124092059?\nAnswer: 7, 13, 19, 10253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 931, 3709, 8341, 14827, 23167, 33361, 45409?\n\"Answer: 927*w**2 - 3*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -246 (base 11) to base 14.\nAnswer: -16c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a minute in seconds?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -274*p**3 + 171*p**3 + 102*p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4 + ((-2*sqrt(91) - sqrt(91))*1)\/(2*sqrt(7)*1))**2.\nAnswer: -72*sqrt(13) + 543\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -148, -339, -658, -1105?\nAnswer: -1680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74 (base 15) to base 13.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7989 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 524.7 + -524.69997269. What is c rounded to 6 dps?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.5156 + -3737.4844. What is the third smallest value in 0.2, o, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2*s + 7*s = 223, -4*s - 196 = -4*f. Which is smaller: 319\/6 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -171 - 1?\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -16. Suppose -m*r - 17 = 63. Let k = r - -23. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-23*45\/(-414))\/((9\/(-4))\/(-9))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3*n + 21. What is the remainder when p(-14) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 5 + 22 + -27 + (23 - 8)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jcc when three letters picked without replacement from {d: 2, t: 3, c: 4, x: 2, j: 2}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 65 - 65.4. Suppose 2*q = -3*l + 81, 0*l = 3*l + q - 78. Let r = -477\/19 + l. Which is the second biggest value? (a) 0.3 (b) v (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 0. Let v = z - -2. Solve -3*g = -9, -v*o - 2*g + 12 = -4 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4090, -6787, -9484, -12181, -14878, -17575?\n\"Answer: -2697*p - 1393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 15 = -5. Suppose 5*y + 3 = f*z, -30 = -5*z - 0*y + y. What is the second derivative of -4*d**4 + 3*d**4 + 0*d - z*d**4 + 2*d wrt d?\nAnswer: -96*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2081624987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2770\/15 + (24\/(-9) - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 1. Let c(x) = 13*x + 16*x - 42*x - 1 + 14*x. Let j = -2 + 3. Give j*c(u) - s(u).\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 13. Let h(u) = u - 4. What is h(s)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 4 = 8. Let n be (y + -2)*104\/(-24). Suppose n*v = 11*v. Is -5 less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)*-4 + -5.\nAnswer: -8*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 924, 2294, 4580, 7782, 11900, 16934, 22884?\nAnswer: 29750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/((sqrt(36)*3)\/sqrt(3)).\nAnswer: sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30627212\/743 + -41221. Is q smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7137535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 2 = 3*z, 3*o - 307 = -2*z - 306 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -361\nAnswer: -2\/361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.89 times -0.01?\nAnswer: 0.0089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 2*r - 29 = -2, 4*x = 3*r + 23. Solve x*l + 8 = 9*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 140013 + 2?\nAnswer: 140015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 349*c = 352*c - 162. Is c bigger than 47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 + -14. Suppose 3*r - 27 = 5*j, -3*r - 3*j + 9 = -f*j. Suppose -r = -4*o - 0, 4*w = o + 27. What is the third smallest value in 1\/3, w, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54918 is divided by 10977?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + (-2 - (-2 - 34)). Let u(n) = -n**2 + 7*n + 3. Let x be u(5). Suppose -35 = 6*q - x*q. Calculate the greatest common divisor of q and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(45)\/(sqrt(3)*-2 + sqrt(3)))\/(1*sqrt(300) - sqrt(300) - -2*sqrt(108)).\nAnswer: sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.0333136nm?\nAnswer: 0.0000000333136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 253.6 - 28.6. Let c = o - 232. Suppose -1 = -4*a + 19, 4*d + 5*a = 41. What is the third smallest value in -2\/3, c, -3, d?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = 5*h + 44 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/3 of a week?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -277042 divided by 277042?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3214481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(13) - sqrt(13)*-2))**2*6.\nAnswer: 702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -295 (base 11) to base 12\nAnswer: -24a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from atiahvijhahiajt. What is prob of sequence jjha?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/1015 and -25831 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -9032 take away -86.8?\nAnswer: -8945.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3924312 and 146076?\nAnswer: 145199544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 64308290?\nAnswer: 578774610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 7*u + 4. Suppose 5*h + 15 = 50. What is the remainder when d(h) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1398041\/2 less than -699022?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -175 - -180. Suppose -4*k = -2*k - p - 18, n*k + 3*p - 45 = 0. Is 61\/7 < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 5:54 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-3) + (-188)\/(-6). Suppose 3*a + 4*d = -5, 0*a - 4*a + v = -2*d. Solve -2*s + 10 = -a*z, 3*z - 3*s + 2*s = -7 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rcv when three letters picked without replacement from {r: 1, d: 2, v: 8, c: 4}.\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73569807?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1718287*h - 3462116 wrt h.\nAnswer: -1718287","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3*o = 101, 0 = 3*o - 10 - 5. Let y = -31 - v. What is the remainder when 34 is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-21)*7\/(-10).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86 + 486*r - 975*r + 489*r - 23*r**2 + 62*r**2.\nAnswer: 39*r**2 + 86","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11241097*q**2 + 4345551?\nAnswer: -22482194*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-2) + (-2)\/(-4). Let m(t) = t**3 + t**2 + t + 1. Let o(x) = -x - x**3 + 16*x**2 + 15*x**2 - 32*x**2. Let r(i) = 4*m(i) + 3*o(i). What is r(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/4576 and -48\/573199?\nAnswer: 238450784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4.08*3.62484\nAnswer: 14.7893472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**3 + 35*r**2 - 15*r + 6. Determine b(17).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -4*u - 4*o + 93, -u - 2*o + 31 = 0. What is the remainder when u is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3804 + 6019. Calculate the highest common divisor of 5 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 13*m - 4. Let q be h(5). Suppose -2*o + q = -5. Does 17 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*18*11\/(-33)*-13*(-15)\/325.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 0*j + 20 + 14 - 40 + 3*j - 4*j. Determine q(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*r + 2*a, r - 3*a + 21 = 5*r. Suppose 5*q - 3*q - 28 = -2*n, 2*n - 30 = -r*q. Calculate the smallest common multiple of n and 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 + -19 + 88 + -14 + -9\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4*x**3 + 2*x**2 - 2*x + 2. Suppose -2*v = -2*n - 6, 5*v - 4*v = 2*n + 1. Let g(m) = 5*m**3 + 3*m**2 - 2*m + 3. Calculate n*g(u) - 3*q(u).\nAnswer: -2*u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-3))\/(220\/30 + -8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -390 - -406. Solve 1508 = -b*s + 1540 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 5*m - 16, 10*m - 13 = 5*m - 4*r. Calculate the highest common divisor of m and 2155.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 4*x - 32 = -x, 5*x = -3*p - 32 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 1 + 4 - 1 - 2 + 3 - 3 + 1 + 0 - 3 + 1 + (-3 + 2 + 4)*(0 - 2 - 1))*(2*b**4 - 5*b**4 + 4*b**4).\nAnswer: -7*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -181971\/8 + 22746. What is the fifth biggest value in q, -0.1, 2\/3, 0, 0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 440.5338 millilitres?\nAnswer: 0.4405338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -47, -55, -55, -41, -7, 53?\n\"Answer: i**3 - 2*i**2 - 9*i - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -56 + 90. Suppose 3*u = 17 + p. Calculate the remainder when u is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 36 = 21 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3072376784 to the nearest integer?\nAnswer: 1454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 258 (base 15) in base 13?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206*n + 1427 = 3759 + 4466 for n.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -32*r**2 - 2583*r - 5161. Determine w(-2).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -46 - 49\/3*g - 1\/3*g**2 = 0.\nAnswer: -46, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 48 + 16. Let d be ((-1)\/2)\/((-2)\/u). Let r(n) be the first derivative of n**2\/2 + 2*n + 11. Calculate r(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17904151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2752052.\nAnswer: 2, 688013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -2*o**5\/65 + 17*o**4\/13 - 264*o**3\/13 + 1694*o**2\/13 - 2662*o\/13 + 384. Suppose b(m) = 0. Calculate m.\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -11*l**2. Let k = -83 - -85. Let t(j) = j**k - 9*j + 7*j - 9*j + 11*j. Determine 2*m(g) + 10*t(g).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 - 275*c + 278*c + 24 - 7 to the form p*c + n and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -146 and 532 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 17*c**2 - 45*c + 26. Let x be i(-14). Calculate the highest common divisor of 17 and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 4*a - a - 229, -5*j + a + 310 = 0. Calculate the remainder when j is divided by (-3 + 1)\/(2\/(-13)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f**(1\/36)*f))**(-1\/51)*(f\/(f*f\/(f*f**19)))\/(f*(f*f\/(f*(f*f**(2\/87))\/f*f))\/f))**(-23) assuming f is positive.\nAnswer: f**(-23272435\/53244)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*q = -87*q + 2519 - 1091 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-1170)*-5*(-168)\/(-28).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j**4 + 94310*j**3 + 3023260*j**2 - 4127640*j - 548681760 = 0. What is j?\nAnswer: -22, 12, 18894","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1602523261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -158, -521, -1226, -2387, -4118, -6533?\nAnswer: -9746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5030 - -322320?\nAnswer: 313250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02091 to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -140, -142, -144, -146?\n\"Answer: -2*n - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 594.526 millilitres to litres.\nAnswer: 0.594526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 1813*m + 90. Let x(d) = d**2. Determine l(x(s)).\nAnswer: 1813*s**2 + 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.0615510962 - 2?\nAnswer: -9.0615510962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1313, 2537, 3761, 4985?\nAnswer: 6209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, -14, -742?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -52*p**2 - p + 30. Let h be b(0). Solve 501*f - h = 507*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3082?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000701 to 5 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-3) + (4 - 2). Suppose -4*u - d - 25 = -8, 4*d = 12. Sort 0, u, a in decreasing order.\nAnswer: a, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33*c**2*t**3 - 138*c**2*t**2 + 5*c**2*t + 2*c**2 + c*t**3 - 240*t wrt t.\nAnswer: 198*c**2*t - 276*c**2 + 6*c*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3388460 divided by -1.\nAnswer: 3388460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 202884 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 132001679 to the nearest integer?\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-9 - (5 + -5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -171*r - 211*r + 8*r as n + w*r and give w.\nAnswer: -374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 47, 24\/971, -0.4?\nAnswer: 24\/971","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -6*c**3 - 2*c**2 - 3*c - 2. Let m be s(-1). Solve -2*l + 7*l = -2*g - 23, 4*l + 25 = m*g for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 - -2 - (-15)\/9. Which is the third smallest value? (a) -5 (b) -1\/4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1167624286?\nAnswer: 2, 89, 6559687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 6*g**2 + 2. Let q be s(6). Suppose 74 = 3*w - 106. Suppose w*m - 43*m - 51 = 0. What is the smallest value in q, 2.1, m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-122.31.\nAnswer: 489.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + r**2 + 6. Let i be 30\/(-75) - (-44)\/10. Let k be i\/(-6) - (-6)\/9. Calculate d(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 313158?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76 and 9196.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*d = -45*d - 565 - 172 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6710, 6778, 6882, 7016, 7174, 7350, 7538, 7732?\nAnswer: 7926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/3)*r)\/r)**(4\/17)*(r**0)**(-12) assuming r is positive.\nAnswer: r**(4\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*w - 6*w - 8*w = 3*q - 21, -4*q + 5*w = -21*q + 121 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lkkkklk. Give prob of picking 2 l.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e6b6e (base 16) to base 14.\nAnswer: -1a8566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1821 (b) -2\/9 (c) -0.3 (d) 294 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -179709, 3, -1006 in decreasing order.\nAnswer: 3, -1006, -179709","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 285926597?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 10) in base 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 14202586271 and 182.2.\nAnswer: 14202586453.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1 (b) 2 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*w**2 + 12*w**2 + 32790*w**3 + 1 - w**4 + 10*w - 32792*w**3 as h*w**3 + z*w**4 + g*w + k + i*w**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*c + 6*c - 3 = -4*v + v + 9*c + 54, -16 = -4*c for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c + 13. Let r(x) = x - 12. Give 4*a(g) + 5*r(g).\nAnswer: g - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 r when three letters picked without replacement from wfforwggfwmmwfr?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 6105 divide 282722550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - -2)\/(-9)*-150 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -482, -1004, -1492, -1940, -2342?\n\"Answer: m**3 + 11*m**2 - 562*m + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, 2\/9, -3\/8, -4, 6\/7?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -14*i + 199. What is k(20)?\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10302386.\nAnswer: 2, 5151193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -590*n + 1701 wrt n.\nAnswer: -590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*v + 0 + 16*v + 0.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 219?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(220)*2*-5)\/((sqrt(5) - (sqrt(605) - (sqrt(605) - sqrt(605)*-1)) - sqrt(5))*1).\nAnswer: -20*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 115 in -0.051, -4, -16.94?\nAnswer: -0.051","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 0 - 8*c + 4 + c**3 - 6 + c**2 - 10*c**2. Calculate the remainder when 69 is divided by p(10).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - y**2 + 6*y - 3. Calculate b(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/2)*j*j**1)**(2\/133)\/((j\/(j*j**(1\/7)))\/j**(1\/3)*j**(18\/7)) assuming j is positive.\nAnswer: j**(-821\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is 85498.2 years in months?\nAnswer: 1025978.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 150 and 77750?\nAnswer: 233250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 + 10.4. Let p = m - -0.9. Let s = -4 + 4. Which is greater: s or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -15*l**5 - 68*l**4 - 81*l**3 - 15*l**2 + l - 1. Let a(r) = r**5 - r**3 + r**2 + r - 1. Let w(j) = -a(j) + f(j). Suppose w(n) = 0. What is n?\nAnswer: -2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -107 + 74 + 33 - 1354*l as g + o*l and give o.\nAnswer: -1354","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 10 = 2*w, -4*s + 46 = 3*w - w. Let t = 17 - w. Determine v, given that 26*v**2 - 3*v**3 - 6*v**t - 11*v**2 - 9*v + 3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 7*v**2 + 4*v + 2. Calculate the remainder when ((-2)\/(-26))\/(137\/375791) is divided by o(-3).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + w = 7, -3*y + 2 = 2*w + 14. Let k be 3 - 2 - (-4 + y). Let l = -3 + 10. What is the greatest common divisor of l and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j. Let c(z) = z - 1. Let x be c(-5). Let i = x - -10. Let y(s) = -i*s**2 + 2*s**2 + 0*s**2. Calculate o(y(b)).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 428 + -642. Let c = -926 - -1403. Let s = c + v. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 2*l + 1. Let k be p(0). Solve 0*s = 3*s - 2*a + 4, 0 = -a - k for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.06 + 0.34. Let u = 68990\/3 + -22996. What is the closest to u in f, 3, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -410 + -1a5?\nAnswer: -5b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-72)\/152) - (-4 + (-52)\/(-12)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0978509 rounded to 4 decimal places?\nAnswer: 0.0979","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -5.9, 0.5, 4 in ascending order.\nAnswer: -5.9, -3\/5, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/18*16\/(-14).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*q**3 - 4724960*q**2 - 3*q + 4724960*q**2 + 3*q.\nAnswer: 20*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104539.\nAnswer: 107, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -22c19 + 5?\nAnswer: -22c14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 11 + 3 - -24\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 605*i**3\/3 - 22055*i**2\/3 - 576905*i\/3 + 21334355\/3 = 0. What is i?\nAnswer: -31, 371\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/95 and -19\/2.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 122*y**2 - 151*y - 8. Calculate d(1).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**10*c)\/c*c\/((c**11*c)\/c))**(20\/7)\/((c**0)**7\/(c*c\/(c*c**(-2)*c))**(-19)) assuming c is positive.\nAnswer: c**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a3 - -5910?\nAnswer: 5818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*n, -t - n + 18 = 4*n. Calculate the greatest common divisor of 69 and t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -5\/3, 23, -151712?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -61256 rounded to the nearest one thousand?\nAnswer: -61000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z - 2 + 2 + 2)*(-1151*z - 376*z + 52*z) to the form s*z + c*z**2 + d and give c.\nAnswer: 1475","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -17*h**2 + 2. Let c be p(-2). Let q = -51 - c. Sort -5, q, 1, 2 in increasing order.\nAnswer: -5, 1, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -431730, -863290, -1294854, -1726422?\nAnswer: -2157994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -96887 or -96884?\nAnswer: -96884","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1178*c = -1179*c - 3*p + 25, -3*p = 5*c - 65 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 11*t**2 + 14*t + 9. Let q be f(-9). Suppose -5*v + q = -140. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-3))\/(33*58\/14355)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 5 + 5 - (-928)\/(-32)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -956 divided by -116391?\nAnswer: 956\/116391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*r = -49*r - 53*r + 456. Calculate the highest common divisor of 2869 and r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3.19, -1\/2, -0.06?\nAnswer: -3.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 18*j + 94. Let k be g(22). Solve 0 = -5*q + 2*z - 4, 0*q + 3*z - k = 3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 + 40. Suppose t + q = 2*a, -a + 90 = 2*a - 4*t. Suppose -3*u - 3*u + a = 0. Solve h + 20 = u*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -171641*z**2 + 514951*z**2 - 171649*z**2 - 171645*z**2.\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14454893*h - 14454893*h - 7*h**2.\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4738821?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 3*r + 2. Let f be i(-3). Suppose -f = 2*j - 26. What are the prime factors of (-2)\/(-1) + -3 + j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -1, -4, 0.7, 24?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -206141*h**2 - 224*h + 83570360 wrt h.\nAnswer: -412282*h - 224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02241909 to three dps.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -298219.6*-1\nAnswer: 298219.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, o: 1, r: 1}. Give prob of picking 1 r and 1 j.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2*b - 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 8:22 AM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 237258120 - 237258106.00000044. Let z = o - 14. What is z rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**3 + k**2 + 2*k + 2. Let u be j(-1). Let t be (-63)\/(-28) + u\/4. Calculate the common denominator of (-123)\/(-40) - t\/10 and -87\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5969954*u**2 - 2*u - 2174028 wrt u?\nAnswer: -11939908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 10) to base 14.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) + 4 + -2*sqrt(637) + 1*sqrt(637) + 4 + -4)**2*1.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 4:08 AM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -768*w**3 - 2278*w**2 + 19*w + 56. What is d(-3)?\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 55 + 0?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/(-1) + (-22 - -18). Solve -v = -d - 3*v - 11, 3*v = -t*d - 27 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245 is divided by (-4 - 3\/((-42)\/64))\/(10\/1085)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = u + w - 3*w, 4*w = 5*u - 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/234 and -53\/180.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 11) in base 15?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.41 - 1.31. Let g = 10 + -3. Let c = g - y. Sort -0.2, -1, c in increasing order.\nAnswer: -1, -0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (11 + -7)) + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5882\/3 + 1982. Suppose -19 = -b - 3*n, 3*n + 82 = 4*b - 9. Let r = m - b. Which is bigger: r or -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r*r**(-2\/49)*r)\/r**15)\/(r**(-2\/9))**(-8\/9))**(-1) assuming r is positive.\nAnswer: r**(48574\/3969)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**3\/15 - 106*a**2\/15 - 58*a\/5 + 102 = 0. What is a?\nAnswer: -51, -5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of 1\/15*l**6 + 1\/10*l**5 + 1\/63*l**7 - 4*l + 0*l**2 + 0 + 1\/18*l**4 + 0*l**3. Factor u(h).\nAnswer: 2*h**2*(h + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 - x)*(-11*x - x + 6*x) - 1 - x**2 + 1)*(-80*x - 98*x - 313*x).\nAnswer: -2455*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 x, and 1 u when four letters picked without replacement from uxxuxxufuuufuun.\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*m = -54 - 66. Let u = -3.03 - -0.03. Let n = -2.7 - u. Which is the closest to -1? (a) m (b) 3\/7 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4460, 0, 2, 4 in descending order.\nAnswer: 4, 2, 0, -1, -4460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 38488169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*v - 52*v + 19*v in the form b*v + o and give b.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -59\/2 + 299\/10. Sort u, 1\/4, -3, 52 in descending order.\nAnswer: 52, u, 1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12531 - 87691\/7. Factor -2\/7*y**5 - 2*y**4 - 44\/7*y**2 - l*y - 36\/7*y**3 - 6\/7.\nAnswer: -2*(y + 1)**4*(y + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(6*sqrt(133)*-2 + (-2*sqrt(133)*4 - sqrt(133)) + sqrt(133)))\/(-2*(sqrt(343) - -5*(sqrt(343) + sqrt(343)*-3))))**2.\nAnswer: 30400\/3969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 5*j + 50. Let o = -8 - j. Suppose 0*t = 2*q + 5*t - 5, 0 = 2*q + 2*t - 8. Calculate the remainder when q is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2158.3912 + -0.0088. Round c to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9313 and 139?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*z + 34*z - 14*z + 125 - 7*z + 32 to the form a*z + k and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.033 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**(-15\/4))\/i**(2\/65))\/(i**(-9\/10)*i*i**(-5)))**(4\/9) assuming i is positive.\nAnswer: i**(2501\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -46 - -26. Let s = -23 - q. Let y = 0.24 + 0.76. What is the biggest value in y, -13, s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1344 - -1347. Solve -u*g = -4*r - 7, 19*r - 22*r = -2*g + 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1707276301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 6. Let q be (-52)\/(-72) + a\/4. Let t = -1 + 0.6. What is the closest to 1\/3 in t, -2\/13, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28.6 + 29.1. Which is the nearest to -2.2? (a) 5 (b) 1\/5 (c) p (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108 is divided by 64?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**4 + 2*j**4 - 3*j**4 + (-6 - 21 - 4)*(-3*j**2 - 2*j**3 + 3*j**2)*(4*j - 10*j + 4*j))*(-2*j - 4*j + 4*j).\nAnswer: 252*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -795, 0, 16, 4 in ascending order.\nAnswer: -795, 0, 4, 16, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -28 - 65?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 714, 702, 676, 630, 558, 454, 312, 126?\n\"Answer: -m**3 - m**2 - 2*m + 718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ullulal. Give prob of picking 1 a and 1 l.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 380 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1701697 or -1701705?\nAnswer: -1701705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 248, 464, 684, 908?\nAnswer: 1136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 - 19. Suppose 4*t + t = -4*x + 228, -3*t + p*x = -126. What is the greatest common divisor of 11 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 4*g - 42. Let s(w) = -w**3 + 3*w**2 + 11*w + 1. Let o be s(g). What is the units digit of ((-237)\/6)\/((-3)\/o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 32*m - 3. What is v(-32)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*x + 84 = 22*x + 7*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/3 + 3893294*h - 11368303627827.\nAnswer: -(h - 5839941)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 90 = -2*u - 3*m, 3*u = -4*m + 83. Suppose -19 = s - u. Solve -v - 5 + s = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, p: 3, j: 3, n: 1, i: 2, t: 7}. Give prob of picking 2 p.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 430297 greater than 430657?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 8 + 2. Suppose 362*n - 374*n = 0. Solve n = 4*u - 7*u - 3*r - 18, -c*r - 20 = 4*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111101100000110011110 (base 2) to base 14.\nAnswer: 790b94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 4 - ((-1 - -4) + -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2252 divided by 74.\nAnswer: -1126\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 11. Suppose 31*h - 114 = 12*h. Solve 2 + c = 2*g - 2*y, g + h = -y for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -0*p - 20. Suppose -1 = -o + f, -4*o + p*f = -3 - 4. Let m = 32 - 27. What is the second smallest value in -0.2, m, o?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 1704 = -10*a. Let q = 307 - a. What is the greatest common divisor of q and 667?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -3*f + 4. Let l be -39 + (-3)\/(-1 - -2). Let v = l - -86. Calculate the greatest common factor of f and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18.2 + -20.14. Let y = -0.06 + w. Let h = 146\/5 + -29. Which is the nearest to 2\/11? (a) 5 (b) y (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4097.999 + -4117. Let c = f + 19. Let i = c - 0.879. What is i rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1 + 3*(sqrt(72) - (sqrt(72)*-3)**2) + (5*(-3 + 2*sqrt(72) - 3*sqrt(72)*4))**2.\nAnswer: 9018*sqrt(2) + 178280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23004, -23006, -23008?\nAnswer: -23010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -10*-37\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-3 + sqrt(13)) - -5*sqrt(26)\/sqrt(2))**2 + -4.\nAnswer: 36*sqrt(13) + 149","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.01 - 0.11. Let n = -5.1 - r. Let o = 5 - 3. Put n, o, 0.5 in descending order.\nAnswer: o, 0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -163616 in 5, -2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16776 = -3*n + 53712. What are the prime factors of n?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 4*k + 4*u, -5*k - 49 + 1 = 2*u. Let h(m) = m + 18. Let x be h(k). Solve 5*t + x + 2 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 170, -86, -768, -1876, -3410, -5370?\nAnswer: -7756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20566\/37 + -3167001\/370. Suppose -3*p + 9041 = -18328. Let t = c + p. Find the common denominator of -21\/11 and t.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r + 9. Let j(l) = -3*l + 12. Let p(n) = -4*h(n) + 3*j(n). Let f(o) = -o**2 - 37*o. What is f(p(b))?\nAnswer: -b**2 + 37*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-1) - (-30)\/(-30) - (3 - -1).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 4*g - 8, 21 = -5*d + 31. Sort g, -12, 3, -2 in increasing order.\nAnswer: -12, -2, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/2 and (18\/7)\/(40\/42).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 156 = 346. Let n = b - 36. Solve -4 = 2*r + 2*w, -16 = -n*r + 5*w + 15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(3\/13)\/(((h*h*(h\/(h\/(h**(-7\/10)*h)))\/h)\/h)\/h))\/(h**(-1\/60)\/h**(-9\/8)) assuming h is positive.\nAnswer: h**(-277\/1560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {y: 2, h: 2, v: 2, d: 2, f: 4, w: 3}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 681453885 divided by 15.\nAnswer: 45430259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 32 = -3*y, 3*f + 20 = 2*f - 4*y. Is f at most 10\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -66299 and -0.3.\nAnswer: 19889.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10442224 (base 5) to base 10.\nAnswer: -93439","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1*d*d\/d**(-10))\/(d**4\/d**(-1\/4)) assuming d is positive.\nAnswer: d**(35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/23 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 7. Let o = -75993.91 + 75994. What is the fourth smallest value in o, l, -0.5, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**2 + 18*h + 11. Determine b(-12).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**2 + 1472 + 7*r - r - 6*r - 940 as p*r + w*r**2 + m and give m.\nAnswer: 532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 3:35 PM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 4*x**2 + 8*x + 29. Let r be q(-4). Let v = 6.7 - 7.7. What is the closest to r in 1, v, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 139651 to the nearest integer?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58863 = 2*v - 91143. Suppose f + 2*k + v = -100995, -5*k = -f - 176005. Round f to the nearest 10000.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/600*45)\/(3\/(-4))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 168350 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -4*y**2 + 18*y + 12. What is l(9)?\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of f**4\/60 + 68*f**3\/15 + 2312*f**2\/5 + 200*f. Factor p(g).\nAnswer: (g + 68)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3589 is divided by 112.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -5*v**3 + 2*v**2 - 3*v - 1. Let s(j) = 26*j**3 - 11*j**2 + 15*j + 6. Let r = 42841 + -42839. Determine r*s(z) + 11*l(z).\nAnswer: -3*z**3 - 3*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -38 - ((65 - 38) + -25).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 329*k - 265*k + 448 = 0 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.18719 litres in millilitres?\nAnswer: 70187.19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**2 - 4*p**2 - p**4)*(-4 + 3 + 4)*(4 - 3 + 1).\nAnswer: -6*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 4*j + 9. Calculate i(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16655011337 take away 0.7?\nAnswer: 16655011336.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 598 + -598. Let z(g) be the first derivative of 0*g**2 + 0*g**5 + 1 + 0*g + 2\/3*g**3 + t*g**4 - 5\/6*g**6. What is the third derivative of z(k) wrt k?\nAnswer: -300*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 235*o - 233*o. Solve 4*h - 7*t + 11*t = -o, -3*h - t + 7 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 856.2388 years to centuries.\nAnswer: 8.562388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 145\/((-62930)\/17577)*(-16)\/54.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*s + 93 = 2*v - 70, -9*s + 10*s - v - 13 + 14 = 0 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -12*i + 208. Let a be 2 - (-4)\/((-8)\/(-42)). Let y = a - i. Do y and -5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (m**3 + 0*m**2 + 0*m**2)*(-1 - 2*m + 1) + 29*m**4 - m**4 + 32*m**4 as z*m**3 + x*m**4 + t + q*m**2 + f*m and give x.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 14 + 9 = 0. Let j(v) = -2*v**2 + v - 1. Let n(h) = -132*h**2 - 3*h - 1. Let a(m) = z*n(m) + 2*j(m). What is the second derivative of a(s) wrt s?\nAnswer: 256","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 4:50 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 59.1? (a) -0.9 (b) 0.3 (c) -2\/7 (d) -156\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240 is divided by 3\/(-12)*2 + 152\/16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/1515 in -4, 18, -115?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130040 (base 5) to base 16.\nAnswer: 139c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3*q + 16. Let z(s) = 27*s + 8. Let w(y) = 77*y + 20. Let v(h) = -6*w(h) + 17*z(h). What is 5*m(o) - 6*v(o)?\nAnswer: 3*o - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (33\/(-22))\/1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21581325 divided by 7193775?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 8 + 15)*(0 + 0 - 1)*(-31*a - 18 + 18)*(5 + 11 - 3) to the form d*a + q and give d.\nAnswer: 4030","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19548 and 25968432.\nAnswer: 2172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 232 and 3148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(27*t + 36*t + 17*t).\nAnswer: 80*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f. Suppose 0 = -2*l - 4, -3*l - 194 - 20 = p. Let o be (-1)\/(-5 - p\/42). Let u(s) = 8*s - o*s - 9*s. What is u(b(k))?\nAnswer: 22*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.472 + -0.172. Which is the smallest value? (a) -2\/1083 (b) -2\/7 (c) j (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 5*k - 641. Give b(111).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j - 54 = -2*j - 0 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 10, 1338, 5 in descending order.\nAnswer: 1338, 10, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + sqrt(68)*-2) + (sqrt(68) - (sqrt(68) - (sqrt(68) - (2*sqrt(68) + 5))))*-1 + -5.\nAnswer: 8 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 3*h**2 - 137*h - 404. Give l(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u + 8. Let x(m) = 30*m - 14*m + 3 - 15*m. Calculate -3*f(i) + 8*x(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 779609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 74 or -1\/70044?\nAnswer: -1\/70044","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 4*b + 5*b)*(-2*b + 4*b + 85 - 189) - b + b - b**2.\nAnswer: 19*b**2 - 1040*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -10291, -20577, -30863, -41149, -51435?\n\"Answer: -10286*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 852 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 89341968 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - 2*c**2 + 6*c - 9. Let v be x(3). Solve 18 = -6*j + v for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -3949*p**5\/5 - 5219*p**3\/3 + 3805. Find the third derivative of w(m) wrt m.\nAnswer: -94776*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, w: 1, z: 2, u: 1}. Give prob of sequence zuuz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2332235.\nAnswer: 5, 157, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 2891?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1791*i + 1154 + 2428 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 7 (b) 4363 (c) -2 (d) 1\/3 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2992 + -2990. Solve -4*q - 1 = -f*o - 13, -2*q = -4*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64273 to the power of 1\/2, to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**4 - 2*q**4 + 2*q**4)*(-1 + 1 + 2*q) + 2*q**5 - q**5 + 0*q**5 - q**2 + q**2 - 2*q**5 + 860*q**3 - 860*q**3 - 423*q**5.\nAnswer: -420*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.3409572nm?\nAnswer: 0.0000000000003409572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 + 38. Let q = 107 - 105. Suppose -4 = -a + q. What is the greatest common divisor of a and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**5 - 940*b**4 - 222739*b**3 - 848976*b**2 + 6329232*b - 5256576 = 0 for b.\nAnswer: -468, -8, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2814, 5632, 8454, 11280, 14110, 16944, 19782?\n\"Answer: 2*l**2 + 2812*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 260497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 58*h**2 + 0 - 40*h**3 + 13\/2*h**4 - 8*h.\nAnswer: h*(h - 4)*(h - 2)*(13*h - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/223? (a) 665 (b) 3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three tenths of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 12 = -2*o, -29*q = -33*q - 8. Suppose -4*c + 0*c = -28. Calculate the lowest common multiple of c and o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -27, -148 in ascending order.\nAnswer: -148, -27, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*h - 16*h = 17360. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z - 3*z + 165. Let m(w) = 2*w**2 - 3*w - 3. Let k be m(-2). Calculate the greatest common divisor of k and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5276522 - -8701\nAnswer: 5285223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 plus 93.517?\nAnswer: 93.017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01926 rounded to 3 decimal places?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -0.5, 1\/6, -304.7, -0.043?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**3 - 10*n**2 - n - 4. Let b(k) = -1. Let g(l) = -b(l) + u(l). Give g(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) -0.4 (b) 1\/15 (c) -5\/3 (d) 1\/8 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**3 + 18*x**2 - 13*x - 116. Let d be u(-9). Which is bigger: d or 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -1. Let m(q) = -q - 10. Let s(v) = -m(v) + 3*n(v). Let h be s(-7). Suppose p + p - 6 = h. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**2 + 7*k**2 + 5*k**2)*(-55*k + 0 + 35*k + 5).\nAnswer: -160*k**3 + 40*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12081 or -12554?\nAnswer: -12554","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - 5*k - 3. Let v be x(-3). Let y = v + -1. Let g = 3 + y. What is the remainder when 14 is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-171)\/(-399))\/(2\/14). Let o(t) = -5*t**2 + b - 14 - 329*t + 4*t**2 + 318*t. What is o(-13)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 9:51 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/15 and 139\/16434?\nAnswer: 82170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-5\/3)\/(p**(-1)\/p))\/((p\/(p*p**(-2\/5)))\/(p*p**(-4)*p*p)))\/(((p**(-6\/5)\/p)\/p)\/(p*p\/(p\/p**4))*(p*p**(-2))\/p*p*p**2) assuming p is positive.\nAnswer: p**(92\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 236 + 245 - 1210 + 246 + 242 - 9*d + 243.\nAnswer: -9*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 - 60 = -17*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 4 + 1 + (4 + 9 + 2)*(5 - 5 + 2))*(-1 + 1 - 3)*(-3*o + 1 - 1) to m + q*o and give q.\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - 0)*(4 + 0). Let z(x) = -3 - 2 + 7*x - 22*x + 2*x. What is the tens digit of z(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -11 (b) 3\/4 (c) 3 (d) -5 (e) 2.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2 - 289030*h - 49861080.\nAnswer: 5*(h - 57978)*(h + 172)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/100*-50 + 394\/(-78) + 0?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1565\/7 + -224. Is n less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(((-5618)\/(-371))\/(-53)*(-7)\/(-2)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60 + -58. Suppose -4*u = -o*k + 158, -4*u = k + k - 126. Let n = k - 75. What is the fourth smallest value in -0.07, 0.3, n, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5010 and 0.22?\nAnswer: 1102.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-five ninths of a day?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -5*d. Let a be n(6). Let g be (-12)\/a + 312\/(-805). Let k(b) = 75*b + 226. Let s be k(-3). Do g and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109 = 4*i + i + 30*j + 507 - 156, -5*i = -5*j - 20 - 80 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104 = 13*q + 26 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1672? (a) 3\/4 (b) 1\/13 (c) 3\/20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(175)*5)**2 + sqrt(175) + -3)*-4 + -4.\nAnswer: -629992 - 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + 6 - 11 - 2*k)*(29*k - 3*k + 7*k + (-2 + 0 + 1)*(1 - 1 - k))*(3*k - 2 - 3 + 0).\nAnswer: 102*k**3 - 680*k**2 + 850*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 149*m - 154*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48*t**2 - 1485*t**3 - 50*t**2 + 1488*t**3 + 122*t**2 to k*t**2 + n*t**3 + d*t + y and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x + 3*x**3 - 7*x**3 - 5*x**3 - 3*x to d + c*x + k*x**3 + r*x**2 and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/25 of a gram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3 = 5*a + 5, -2 = -o + 2*a. Suppose 23 = 5*v + l - 5*l, -2*v - 5*l - 4 = 0. Solve d + 3 = -5*p, 5*p + d - o*d - v = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 4. Let w = v + 5.4. Let h = -3.4000013 + w. What is h rounded to seven decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -62, -113, -184?\nAnswer: -275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 287\/28 + -8 - (2 - 1) and (0 - (-1)\/(-8))*(-80 - 15).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - o**2 - 6)*(1 + 0 + 0) + (3*o - o - 5*o)*(9*o - 4*o + 0*o).\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -v**7\/2520 - v**4\/6 + v. Let z(h) be the third derivative of y(h). Let c(a) = 2*a**2 + 755*a - a**2 - 755*a. Give z(c(n)).\nAnswer: -n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hu when two letters picked without replacement from uhpuuuusshriuup?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15.8 + -16.3. Which is the second smallest value? (a) 4 (b) z (c) 5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/1351 or -1?\nAnswer: 4\/1351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65 - 3. Does 10 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/4 - (-27)\/6. Suppose r = 2*r - x. Suppose -2*h + 7 = 3. What is the lowest common multiple of r and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 8*m**2 - 7*m - 9. Let l = -597 - -606. Calculate r(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {y: 1, q: 11}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 30040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -1\/3 (b) 1.841 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101320 (base 4) to base 5.\nAnswer: 14034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 151*f**3 + 244*f. Let w(m) = 152*m**3 + 246*m. Let i(o) = -6*w(o) + 7*z(o). What is the second derivative of i(d) wrt d?\nAnswer: 870*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of 2*k**3\/3 - 99*k. Let o(t) = -74*t**2. What is s(o(q))?\nAnswer: -296*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 2. Suppose 115*k = -18*k + 399. What is the nearest to -3\/5 in k, -0.5, b?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2690230.\nAnswer: 2, 5, 269023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -16 - 32. Suppose 5 - w = -v. Let b = -4 + v. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19850000 to the nearest one hundred thousand.\nAnswer: 19900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 10*j**2 - 106*j + 536. Let m be y(5). Solve -141*o - 60 = -m*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - (24\/(-10) + 3). Let n(o) = -o - 8. Let p be n(-6). Let f be 10\/(-12) - 1\/p. Sort 4\/7, q, f in descending order.\nAnswer: 4\/7, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 25 = -5*g, -d - 19 = 2*g + 4*d. Suppose -25 = -5*l + 5*w, 5*w + 11 = 1. Solve l - 15 = -g*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 1 - 2 = a, 0 = j + 4*a + 12. Suppose -4*f = -2*f, j = -4*z - 4*f + 572. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -88095 divided by 3?\nAnswer: -29365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1033314 - -400243?\nAnswer: 1434112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 13, -30, -127, -296, -555, -922, -1415?\nAnswer: -2052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 27 - 2 = 0. Suppose -u - 5*a = u - 7, -2*u = -a - m. What is the remainder when 21 is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1466\/7 + -210. What is the closest to 0.1 in j, 2\/3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x - 6. Let f be y(4). Let r be (0\/(1 + 0))\/1. Let o = -3 + r. Sort o, -4, f in descending order.\nAnswer: f, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 - 37. What is the remainder when (3\/(-5))\/(n\/210) is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 332891?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**(-1)*f)**(-4\/15))**(-5))**(1\/18))**20 assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x + 1. Let w be k(3). Suppose 2 = -3*b - w*g + 49, 0 = 3*b + g - 41. Let t = b + -1. Calculate the lowest common multiple of t and 22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/1048 or 0?\nAnswer: -5\/1048","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1215*w**4 + 77918*w - 77918*w)*(-w + 4*w - w).\nAnswer: 2430*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -369*w + 245 with respect to w.\nAnswer: -369","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 0, 56, 118, 192, 284?\n\"Answer: r**3 - 3*r**2 + 58*r - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7a1965 (base 11) to base 16.\nAnswer: 137962","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 - 19. Let b(x) be the second derivative of -2*x + 0*x**3 - 1\/6*x**4 - x**2 + q. Find the first derivative of b(f) wrt f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5188 is divided by 53?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -23\/5*v**3 + 0 - 171\/10*v**2 - 1\/10*v**4 - 63\/5*v = 0. What is v?\nAnswer: -42, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (112\/(-21) - -5)*0. Suppose q + 7 - 8 = r. Solve 6 = -4*y - s - q, -5*s + 5 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.14, 0.02, 5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1.2 (b) -17 (c) -184\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 5*w + 548. Calculate a(-106).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -60.8 + 5. Round d to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3648312 to the nearest integer?\nAnswer: 1910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1113 (base 6) to base 9.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u + 5. Let b(s) = s**3 + 6*s**2 - 2*s - 9. Let p be b(-6). Let n be k(p). What is the second derivative of -2*d + 5 + 2*d**n - 5 wrt d?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -28918, -28933, -28946, -28957, -28966, -28973?\n\"Answer: c**2 - 18*c - 28901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*n**2 + 10*n**3 + 5*n**3 - 2 - 8*n**2 - 62*n**3 in the form f*n + k + x*n**3 + y*n**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 0*t - 2*t**3 + 5*t - t**2 - 4 + 3*t**3 - 3*t**2. Calculate i(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w + 3. What is z(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35205264 to the nearest integer?\nAnswer: 5933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-6)*(-4)\/(-9)*480\/(-320)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 4, 1089.11, -0.2, -2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - (7 + 6 + -10 - 19) - -102.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1\/2 (b) 0.26 (c) 0.0255\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-89570)\/(-4329))\/(-53) - 16\/(-36).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/5 of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*b + 119*b - 2*j = -1, 5*b + 2*j = -29 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1.181379 centimeters?\nAnswer: 11813.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 147, 284, 437, 612, 815, 1052, 1329?\nAnswer: 1652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 0*o = 1. Suppose 201 = 4*d - 91. What is the remainder when d is divided by (-2 + o - -26)*1?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*j = -133*j + 54*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 0.09?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 320 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28058?\nAnswer: 2, 14029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 - 14. Let o = 6.999948 - f. What is o rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (-6 - -26) - -66?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 3. Suppose 0 = -0*g + h*g - 4*k - 8, 2*g - 32 = -5*k. Let b be (16\/g)\/4*3. Solve -11 = b*q + c + 2*c, q - 11 = 4*c for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yywryrrjywhy. What is prob of picking 3 y?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*d**3 + 168*d - 165 - 177\/4*d**2.\nAnswer: 3*(d - 55)*(d - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 54\/12*72 - 3. Let k(b) = 653 - 323 - x + b. Calculate k(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 3 + (-43 - (10 + -36)) - 71?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-4)*-5 + -1. Let i = -3.3847 + -0.0153. Is i at least b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1239288 less than or equal to -1239289?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (92 + -7)\/(0 + (-255)\/306)\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2. Let z(m) = -5*m + 474 - 240 - 246. Give z(b(h)).\nAnswer: -5*h**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8292*i + 4093?\nAnswer: 8292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 2\/1055 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 + 5*r + 1. Let b = -1 - -3. Let p be (-36)\/(-8) - b\/4. Suppose -n = -0*n - 5*d + 6, d - 18 = -p*n. What is c(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1462 and -1.\nAnswer: 1462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4710653 divided by 43217.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of -6*q + 0*q**2 - 14 + 0*q**3 + 91\/3*q**4. Let v(d) = d**2. Calculate v(r(z)).\nAnswer: 132496*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 520637543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -3298*s**2 + 1246*s**2 - 14*s - 11*s + 25*s in the form p*s**2 + v + u*s and give p.\nAnswer: -2052","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 56690*g**3 - 74792*g wrt g?\nAnswer: 340140*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1095*t**3 + 88*t wrt t?\nAnswer: 6570*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -46 - -409\/9. Suppose -13 = -5*j - 4*n + 10, -4*n = 2*j - 14. Suppose 3*t = -5*p + 4*t, -2*t - 13 = j*p. Which is greater: p or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3*t + 2. Let s be c(7). Let j = s + -3. Suppose 5*i - j = i. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -19. Suppose 678 - 698 = 4*y. Which is the third smallest value? (a) 0.12 (b) p (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 497795?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 6*q + 31. Let o be d(-7). Let m be 0 + (-5)\/25 + o\/(-5). Let j(p) = -18 + 9 + m + 6 + 9*p. Determine j(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**5*g*g**(1\/22)*g*(g**(-1\/8)\/g*g)**(8\/5))**(-1\/7) assuming g is positive.\nAnswer: g**(-753\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*g - 33*g + 64064. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2193 or -2147?\nAnswer: -2147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 139 and (-18)\/(-63) - 75\/(-7)?\nAnswer: 1529","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 195227 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -778\/3*w**2 - 28\/3*w**4 + 1120\/3*w + 1\/3*w**5 - 544\/3 + 229\/3*w**3 = 0. Calculate w.\nAnswer: 1, 2, 4, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 + -26. Let g = 221 + l. Is 0 + -1 + (g - 5) + -2 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -661558.3043 to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 - -22. Let m = j - 7. Let d(x) = -13*x + 1. What is the units digit of d(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**4 + 164*x**3 + 4080*x**2 + 29500*x + 64750 = 0.\nAnswer: -37, -35, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2 - 96*k + 42186*k**3 - 43327*k**3 - 4 wrt k.\nAnswer: -6846*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -105, -246, -469, -780, -1185, -1690, -2301, -3024?\n\"Answer: -d**3 - 35*d**2 - 29*d - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.036 + -7.036. Sort 0.5, t, 3\/5, 2 in descending order.\nAnswer: 2, 3\/5, 0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + 6*c**2 - 16*c - 34. Let u be p(-8). Let k = 25 + u. Let d(t) = 3. Let n(j) = j + 12. Give k*d(f) + 2*n(f).\nAnswer: 2*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 11100782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 592 + -591.56. Sort 2, d, -0.4 in decreasing order.\nAnswer: 2, d, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 264 + -185. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1 + sqrt(12)\/sqrt(4) + -1 - (-1 + (sqrt(3) + -1 - sqrt(3)) + 5))**2.\nAnswer: -6*sqrt(3) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 352*m - 370*m + 11970 = 0. List the prime factors of m.\nAnswer: 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 108\/(-66) - (-82)\/((-43296)\/(-5220)). Let -3\/4*b**2 + g*b - 15\/2 = 0. What is b?\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408*8\/128*-3*(-16)\/(-18)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (46 + 13205\/(-285))*(-1)\/(-5)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + 8*d - 11. Let x be m(-9). What is the nearest to -0.1 in x, 2\/7, 1\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 9:08 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -514 - 0.1\nAnswer: -514.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20681956*w**4 - 15712958*w wrt w?\nAnswer: 248183472*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(-10)*(-50)\/20. Let z = -2 - l. Is 3 + z + 75 + -2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 6) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44631\/551 - 250\/5.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -72, -5, 11020, 53 in decreasing order.\nAnswer: 11020, 53, -5, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 39*z + 330. Let k(n) = 150*n + 1322. Calculate -15*a(h) + 4*k(h).\nAnswer: 15*h + 338","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1327 + 1327.8. Which is the closest to -2\/5? (a) 0.5 (b) n (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47488.\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2240 + 4565. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3\/10 + -1\/10. Is x bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -5*u**3\/3 + 2*u**2 - 2*u - 319. What is f(3)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*p - 0. Let y be 2\/(-7) - (-19)\/p. Suppose -r = -3*r. Put r, 2\/5, y in increasing order.\nAnswer: y, r, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -n + 8. Let f be n\/(-4)*2\/(-23). Is 0 greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -10*i**2 + 4*i - 16. Let a(f) = -7*f**2 + 5*f - 28. Give -2*a(w) + 3*l(w).\nAnswer: -16*w**2 + 2*w + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1225*y - 2322*y + 1177*y to the form v*y + n and give v.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -57 + 238. Let i = a + -102. Suppose 5*w = 304 - i. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 16*l + 1. Let g(s) = 14*s - 1. Calculate b(g(x)).\nAnswer: 224*x - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 197, -580, -1357, -2134, -2911, -3688?\nAnswer: -4465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from {s: 2, i: 4, q: 4}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 815*1174.4.\nAnswer: 957136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from epzeeeeteuvvtee. Give prob of sequence ze.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -15 and -49.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yk when two letters picked without replacement from ocojkcyi?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 58693455.\nAnswer: 2\/58693455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -8 - (-21 + 7))*2266\/309?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 4*z**2. Let c(q) = 36*q**2. Let b(u) = 5*u**2. Let p(h) = -20*b(h) + 3*c(h). What is s(p(o))?\nAnswer: 256*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -15. Let m = 9.9 - k. Let q = -20.88 + 16.88. What is the nearest to m in q, 0.04, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1020)\/(-72))\/(-17)*-6. Factor 3\/2*o**3 + 1\/4*o**i - 8*o**2 - 8*o + 0 + 7\/4*o**4.\nAnswer: o*(o - 2)*(o + 1)*(o + 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*o - 58*o = o + 72*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 49 (b) 4 (c) -5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/3*(-69)\/16. Which is bigger: 7 or i?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 5*s - 3. Suppose g + 1 = -1. Let m be y(g). What is the second derivative of -b - 2*b**3 + 4*b**m + 0*b**3 wrt b?\nAnswer: 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a milligram in nanograms?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12567 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: Sort 5, 4, 6, 1, 20.\nAnswer: 1, 4, 5, 6, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7984445?\nAnswer: 5, 7, 228127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -20661903 divided by 6\nAnswer: -6887301\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3603210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2 + 65274192*r - 391645296.\nAnswer: 4*(r - 6)*(r + 16318554)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m**2 + 611505*m + 11008710 = 0.\nAnswer: -18, 122319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -40*n - 2. Calculate x(1).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3456.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 40 = 6*i. Is 3 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 9600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 + -6. Let n = -17 + x. Differentiate 61*f + 2*f**n - 61*f - 2 with respect to f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12293?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4336651, -8673416, -13010181, -17346946, -21683711, -26020476?\n\"Answer: -4336765*k + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 19 = -9*p. Let r = p + 19. Solve -5*n = -r*n - 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-28))\/((-8)\/(384\/(-18))).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 199110 = -5*n, -3*n - 8*p = -10*p - 119461. What are the prime factors of n?\nAnswer: 29, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-9))\/((-12)\/27)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15860 + -15860.1. Which is the nearest to -3? (a) 2.55 (b) -1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24\/28*(-98)\/(-2). Let v = l - 60. Let q be v\/(-81) + 8\/(-117). Which is the nearest to 0? (a) -4 (b) -5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 4*o - 5*o = -3, -4*o = 3*y - 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13433362.\nAnswer: 2, 6716681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 1:29 AM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + 4*z**2 + 5*z + 7. Let r(w) = 2*w + 5. Let n be r(0). Give t(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -b**4\/2 + 49*b**3\/2 - 258*b**2 - 1118*b + 1352 = 0.\nAnswer: -4, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 0*y**3 + 2*y**3 - 3*y**3 - y - 2*y - 3. What is h(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*r**4 + 3*r**4 + 2*r**4)*(r - 3*r + 3*r) + (2*r**3 + r**3 - 2*r**3)*(5*r**2 - 2*r**2 - 5*r**2).\nAnswer: -16*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhdhpshso. What is prob of sequence odsp?\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 104 + 2 - (-638 + 690)\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 132027848 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5701 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -565 - -475. Let c(l) = -l**3 - 5*l**2 + 4. Let n be c(-5). What is the units digit of p\/(-7) + n\/28?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 927 and 831725?\nAnswer: 7485525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, a: 1, m: 7, k: 5, t: 1, b: 1}. What is prob of sequence avbt?\nAnswer: 1\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5525 (base 6) to base 10\nAnswer: -1277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 8*w. Are w and 2\/155 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 + -22. Suppose -u*r = -d - 18, -r + 2*d - 2 = -d. What is the derivative of 3 + 4 + 8*p**r + p**4 wrt p?\nAnswer: 36*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 292965313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1100 and -1342?\nAnswer: 1476200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 3*d = 2, 4*m + 10 = d - 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-201)\/6)\/1*((10 - (-53 - -37)) + -28).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13553783*b*v**2 - b*v + 2*b - 4*v + 43120 wrt v.\nAnswer: -27107566*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(4*sqrt(156)*-2 + sqrt(156)))\/((sqrt(96)\/(sqrt(32)\/sqrt(4)) - sqrt(12) - sqrt(12)) + sqrt(432)*-1).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, d: 4, h: 3, v: 8}. What is prob of sequence dndd?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -418, -417, -416, -415, -414, -413?\n\"Answer: v - 419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-930)\/2*(-40)\/3600*6.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 379*u - 337*u - 1050. Let y = -4 + 6. Suppose -y*f - 56 = -152. Calculate the remainder when f is divided by u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/3181 or -1?\nAnswer: -2\/3181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 6. Let q be 0 + l + -1 - -1. Suppose -q*b = b - 40. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**17)**(6\/5) assuming h is positive.\nAnswer: h**(108\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - 574*n**2 + 2573*n + 1286. What is b(5)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 453 at most as big as 450?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -518100 rounded to the nearest 10000?\nAnswer: -520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**4 - 86537*h**3 + 1872033282*h**2 + 5616705620*h + 3744585800 = 0. What is h?\nAnswer: -2, -1, 43270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - ((-28)\/21)\/((-4)\/(-12)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74097706271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 203939603, 203939604, 203939605?\n\"Answer: x + 203939602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 6. Let c(m) = -76*m**3 - 7*m**2 + 3*m + 1. Let x be c(-2). Let g = 583 - x. Solve -n + s*n = g for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2015 - 1189. What is the greatest common divisor of r and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14269*w + 14275*w - 57171*w + 14247*w + 14246*w.\nAnswer: -134*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.2 - 6.3. What is the nearest to b in 0.15, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - 118*m + 28. Let b(f) = 39*f - 9. Let n(w) = 3*a(w) + 8*b(w). Is 5 a factor of n(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.035 + 132.965. Let j = d - 102. Is -1 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*l**4 + l**2 - l**2 + (-2*l**4 + 4 - 4)*(-7 + 0 + 2) to n*l**4 + s*l + d + m*l**3 + q*l**2 and give n.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of 2504662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, -3, -54.\nAnswer: -54, -33, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**4*u + b**4 + 29*b**3 + 46*b*u + 4*b wrt b.\nAnswer: -12*b**2*u + 12*b**2 + 174*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 1644\/23 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50483704?\nAnswer: 2, 59, 106957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -777505, -777501, -777497, -777493?\n\"Answer: 4*v - 777509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that n**2\/6 + 169*n\/6 = 0.\nAnswer: -169, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 4 = 5*c, 4*c - 5*s = 1 - 10 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s*s*s**5)\/s)*s**(-7))\/((s\/(s**(2\/15)\/s))\/((s*s\/(s*s*s**(-3))*s)\/s*s)))**35 assuming s is positive.\nAnswer: s**(-1036\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -9.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19790242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1479 and 102.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -5. Suppose 5*r - 148 = -3*v, z*r = -r + v + 86. Calculate the remainder when r is divided by -1 + 2 + (58 - 53).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4*i = -5 + 21, -2*q + 2*i = -10. Let l be (24 + -22)\/(2\/(-17)). Let z = l - -22. Solve q*m = 5*b + 30, -23 = -b - 4*m - z for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 156 + -65. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i + 3. Let h(p) = -3*p + 5 + 2*p - 5*p + 4*p. Let x(c) = 11*g(c) - 6*h(c). Determine x(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 + 46*f + 4241. What is the remainder when n(-60) is divided by 154?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, r: 2, e: 6, w: 3}. What is prob of picking 1 g and 2 r?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**2 + 23*s + 25*s - 48*s.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -58 - -61. Solve -i = -2*i - h for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 6*h**2 - 6*h. Let o be l(5). Let z = o + 10. Let r = 5 - z. Solve -q - 2*q - 3 = r for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*f**4 + 5*f**4 - 117*f**5 - 320*f**5 + 3*f - 77 - 3*f**4 wrt f.\nAnswer: -8740*f**3 - 24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -53 - -53. Solve 0*n + 4*n + 16 = u for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-99)\/(-54)*(96\/(-88))\/3)\/((-72)\/1863).\nAnswer: 69\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 74\/161 - 4\/23. Let x be (-5)\/10 + 1308\/1280. Let w = 5\/64 + x. Sort -1, w, d, 1\/2 in descending order.\nAnswer: w, 1\/2, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 133400991?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -4 (b) -2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + n + 3)*(7*n**4 - 7*n**4 - 7*n**4).\nAnswer: -7*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3098733893.6293604 + 3098736014. Let f = 2333.37063766 - c. Let w = 213 - f. Round w to seven decimal places.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21688 to the power of 1\/2, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o + 125 = 48. Let j(k) = 2*k**3 + 20*k**2 - 23*k - 10. Let m be j(o). Which is bigger: -3\/94 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23 in -5, -0.6, 0.0294, -0.5?\nAnswer: 0.0294","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 130442030 to the power of 1\/2, to the nearest integer?\nAnswer: 11421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 5250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53802 and 846.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m + 4. Let l be z(-4). Put 4, l, 0 in descending order.\nAnswer: 4, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of f**5\/135 - 253*f**4\/54 + 500*f**3\/9 - 4795*f**2. Factor y(g).\nAnswer: 4*(g - 250)*(g - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = i - 3430, 28*i = 32*i - 8. Do -858 and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -113817\nAnswer: -4\/113817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 8 = r, -282 = 4*p - r. Let s = p + 25. Is 1 - 5 - (-9)\/(s\/(-3190)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8 + (2222\/101 - 142\/5). Find a such that -1\/10*a**2 - k + a = 0.\nAnswer: 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 232 = 3*t + 3*p - 8*p, -4*t + 271 = p. Let q = t + -62. Solve -5*u + 4*z + q = 0, 2*u + u = -z + 11 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 4*z**2 - 2*z - 11. Let a be h(5). Find the common denominator of -22\/23 and a\/14 + 916*2\/448.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 7 - 4 + 1. Let f be (1 - 2)*(-1 - -2). Let h(l) = -5*l + 28. Let i be h(6). Let p(u) = -u - 1. Determine f*r(m) + i*p(m).\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 77082587?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (0 + 4*(-4*(sqrt(17) + sqrt(17)*3) + sqrt(85)\/sqrt(5)*-6))**2*2.\nAnswer: 263298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.07 (b) 3 (c) -4 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(2\/21)*a*a*(a**(6\/11)\/a)\/a assuming a is positive.\nAnswer: a**(379\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15 + -240941?\nAnswer: -240926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1824.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(72) - 2*sqrt(72)) - (((sqrt(12))**2 - sqrt(3)) + sqrt(3) + 1 + 0).\nAnswer: -13 - sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -30*u**3 - 175*u**2 - 454*u - 25. Let i(w) = 2*w**3 - w**2 - w. Let b(q) = -h(q) - 6*i(q). Factor b(y).\nAnswer: (y + 5)**2*(18*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 486 = -3*g + 3*w, -4*w + 68 = -g - 97. Let u = 256 + g. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -202035.992 + 0.6.\nAnswer: -202035.392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40.90203 years to centuries.\nAnswer: 0.4090203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from irxkp. What is prob of sequence rikp?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 2*r + 11, -3*q + 5*r + 14 = -14 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -140515 (base 6) to base 5\nAnswer: -410101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4152 and 738364.\nAnswer: 4430184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325)*-1 - sqrt(325) - sqrt(325))**2 + -2 + sqrt(13)*1 + sqrt(13).\nAnswer: 2*sqrt(13) + 2923","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -5*c**2 - 4*c - 3. Suppose -125*h + 94*h = 93. Calculate v(h).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/12)\/(6\/192*-4)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/137? (a) 0.4 (b) -10 (c) -0.7 (d) -0.1 (e) 21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -528*d + 490*d = -19874. What is the highest common factor of d and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (37\/407)\/(1\/11)*68*7\/(-14)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -177186, -177198, -177216, -177240, -177270, -177306, -177348?\n\"Answer: -3*i**2 - 3*i - 177180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 40*l*n**5 + 11*l*n**4 + 9*l*n**3 - 137*l + n**2 + 319*n wrt n?\nAnswer: 2400*l*n**2 + 264*l*n + 54*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or 0.07089?\nAnswer: 0.07089","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10*((-108)\/(-20) - 5). Let a(x) = x**3 - 5*x**2 - 2*x + 3. Determine a(y).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 - 6*a - 2. Let r be x(-5). Suppose -r*g + 185 = -349. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.07 + 0.32. Let w = r + -0.25000104. What is w rounded to seven dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 0 (b) -3 (c) -1\/2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 - f + 16. Does 9 divide v(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -38, -0.3.\nAnswer: -38, -0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -157.34 minus 3?\nAnswer: -160.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 115.51497 months to centuries.\nAnswer: 0.096262475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 81 = -8*h - 37, 4*h = -5*j + 32 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16756 is divided by 45?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 5*b - 54 = 0, -2*c - 88*b - 20 + 318 = -136*b for c.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/(-110)*1*(-64)\/(-48)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) 3.41 (c) 5 (d) 0.95 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 8*p**2 + 12*p - 1. Let y be f(6). Let i be 4 - 6 - (y + -181). Suppose -4*d = -9*d + i. Is 18 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -207453 and 425958.74.\nAnswer: 218505.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*1*(2 + (sqrt(275) + -6*(sqrt(275)*2 + sqrt(275)) + sqrt(275) + (sqrt(275) - 2*sqrt(275))**2*-4)*-4)*-6.\nAnswer: 7680*sqrt(11) + 105648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - 26*m - 123. What is f(31)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -650664 times -0.4?\nAnswer: 260265.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8625684 at most as big as 8625684?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4957857 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(17))**2 + -3 - sqrt(187)\/(sqrt(11)*3)) + -5*((sqrt(17) + 1)**2*-6 - (sqrt(17) - ((-4 + sqrt(17)*-2 + sqrt(17))**2 + sqrt(17)))).\nAnswer: 59*sqrt(17)\/3 + 389","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -260 (base 8) to base 7.\nAnswer: -341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36 - (40 + (-8 + -34 - 0))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -1 + (0 - (3 - 4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.4 - 5.4. Let k = 1 - 1. Suppose i + 8 = -3*z, -3*i + 4*z - 4 = 3*z. Which is the closest to n? (a) i (b) -5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/10 - (-76)\/20. Let p = a + -4. Put 0.1, p, 3 in increasing order.\nAnswer: p, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.22736625 rounded to three decimal places?\nAnswer: 14.227","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 516 and 90.\nAnswer: 7740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, s: 2, g: 4, h: 1, r: 4}. What is prob of picking 3 r and 1 g?\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y. Let k be (-2)\/(-3) + 6\/(-9) + 2. Let t(b) be the first derivative of -25*b**3 + 14 - 5*b**2 + 18*b**3 + 5*b**k. Give u(t(v)).\nAnswer: 63*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 38, 0.17271, -1\/6 in decreasing order.\nAnswer: 38, 0.17271, 0, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o + 7*o + 2*o)*(-23 + 131 + 119 - 33).\nAnswer: 776*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 7*b - 4*b. Let w(h) = -31*h + 30*h + 0*h**3 + 11*h**2 + h**b - 13. Let i be w(-11). Is 5 != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 5 + 55 = 0. Suppose -z + 4*v = -1, -3*z + 3*v + 66 = 18. Let t = z - 6. What is the greatest common factor of u and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of f**4\/12 - 7*f**3\/6 - f**2 + f. Calculate r(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 21*p**2 + 45*p - 3. What is the tens digit of b(-24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28313099.1 rounded to the nearest 10000?\nAnswer: -28310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d**2. Let z(b) be the second derivative of 0*b**3 + 0 + 31*b + 0*b**2 + 5\/4*b**4. Calculate z(f(t)).\nAnswer: 135*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 15.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o = -14*o + 60. Calculate the common denominator of (46\/(-8))\/(9\/o) - -1 and 237\/99 + (-4)\/2.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 + -0.6. Let p = 0.81 - -3.19. Put a, 4\/11, p in ascending order.\nAnswer: a, 4\/11, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 175*w + 2909. What is k(-12)?\nAnswer: 809","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*r**5 + 64850*r**2 - 13225*r - 559?\nAnswer: -340*r**3 + 129700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b - 1. Let u(j) = -j**2 + 3*j + 8. Let i(x) = -3*q(x) - u(x). Let k(g) be the first derivative of i(g). Let l(s) = 2*s**2. Calculate l(k(w)).\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - (-76)\/4 - -3. Calculate the highest common divisor of a and 275.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (142*c**3 - 23200 + 23200)*(7*c + 0*c - 2*c + (-5 + 5 - c)*(5 - 2 - 1) + 1 + c - 1) as b*c**4 + n*c**2 + r + y*c + q*c**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 231, -189, -891, -1875?\nAnswer: -3141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 12*j + 333 = 0. Calculate the remainder when 108 is divided by j.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23065*130\/(-159250) - -19*(0 - -1).\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 h, and 2 z when four letters picked without replacement from hhezzezeezzhhzzzzez?\nAnswer: 75\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -71817 - -71816.5. Let n = -0.1 + 0.6. Let z = 1 - n. Which is the third smallest value? (a) 1 (b) 2\/11 (c) z (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: (-2 + (-2 - (-80)\/15))*((-1812)\/(-152))\/151\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*d = -19*d - 112. Factor 0*r - 11*r - 27*r**2 + 4*r**3 + 2*r - 12*r**2 - d*r**3.\nAnswer: -3*r*(r + 3)*(4*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242 is divided by 215.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 849785.\nAnswer: 5, 169957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/127205128 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8164, -19344, -30524, -41704, -52884?\n\"Answer: -11180*d + 3016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -23*m + 5. Let o be a(1). Is 7 a factor of o\/(-27)*(-381)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 11, i: 1, f: 1, d: 1, v: 3, a: 3}. What is prob of picking 1 d, 2 x, and 1 i?\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 143\/715 - (21\/(-45) - 4)?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/21)\/z*z)\/z**(-4\/7)*(z*z*z**(2\/9))\/z**32 assuming z is positive.\nAnswer: z**(-1837\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 119746 to the power of 1\/2, to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 7:24 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 3 + 0)*(-14 + 14 + 2*g)*(4*g**3 - 5*g**3 + 4*g**3) as y + p*g + f*g**2 + j*g**4 + m*g**3 and give j.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 3*(-3 + 82\/18)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -u**6\/3 - u**5 + 16*u**3\/3 + 39*u**2\/2 + 27*u + 6304. What is the second derivative of l(v) wrt v?\nAnswer: -40*v**3 - 60*v**2 + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 4:30 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -61*x**4\/3 - x**3\/6 - 575*x**2\/2 - 3*x + 20. Find the first derivative of m(l) wrt l.\nAnswer: -488*l - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-3)*(-2)\/8. Suppose 88*s = -394*s. Let g = 1\/3 - 5\/6. What is the nearest to g in 1\/7, z, s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -1. Suppose -2*z = 26*z + 7028. Is y less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3058717.\nAnswer: 29, 3637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 189345556 to the power of 1\/3, to the nearest integer?\nAnswer: 574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 637462982.\nAnswer: 2, 13, 31, 790897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z - 46*z = 48*z - 1404. Calculate the common denominator of z and (1 - -5)*2\/127.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 25 = 3*o, 0 = 3*i - o + 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 67007781?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n + 15*n = 44. List the prime factors of n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + -117. Let c = -88 - b. Suppose c = -5*r - 63. Is -21 >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9 - 5 - (0 + 2). Suppose -2*v = 2*g - 36, -18 = -g + 2*v + l*v. Calculate the least common multiple of g and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/26 + (-9492)\/(-156). Suppose -w*g = -58*g - 24. Solve 3*n - 7*n = -g for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 8*r + 11. Let j be i(7). Determine z so that 12*z**3 + 4 - 18*z + 6*z**5 + 5*z**2 + 11*z**2 - 124*z**4 + 104*z**j = 0.\nAnswer: -1, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(13\/4))\/(r**(-21)*r*r) assuming r is positive.\nAnswer: r**(67\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -985, -1969, -2953, -3937, -4921?\nAnswer: -5905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54715383?\nAnswer: 3, 19, 319973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1211*n + 782*n + 3986 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 2*u - 3*u. Is (97\/(-3))\/(8\/u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3*s + 2. Let o be b(-2). Suppose u = 13 - o. Suppose -q = -5*f + 1 + 1, -u*f - q = -8. Let d(m) = -7*m**3 - m + 1. What is d(f)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 2 + 0*w**3 + 0*w**3 - 1. Let f(r) = -10*r**3 + 6. Suppose z = 2*j, -3*j + 8 - 3 = z. Let v be 20\/(-6)*60\/25. Calculate j*f(o) + v*p(o).\nAnswer: -2*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand y + y + 5 - y - y - 2 + 2 - y + 3*y - 3*y + (4 - 2 - 3)*(-y + 3*y - y) + 0 - 2*y + 0 - 2*y - 2*y + 3*y - 4479*y + 1868*y + 245*y.\nAnswer: -2371*y + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -1, 172, 0, -491, -6 in increasing order.\nAnswer: -491, -6, -5, -1, 0, 3, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -6.4 * 4.133\nAnswer: -26.4512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 8*l**2 - 11*l + 8*l + 29*l - 4 - 43*l**3. Let t be v(8). Round t to the nearest 1000.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -762 + 768 + -1 + 1 + -2 + 15?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*c - 38 = 16 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*b**3*h**3*t + b**3*h*t**3 + 2*b**3*h*t - 13*b**3*t**3 - 91*b**3*t - 3*b*h**3*t + 622*h**3*t**3 + 3*h*t**2 wrt t.\nAnswer: 6*b**3*h - 78*b**3 + 3732*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 6954*a**2 - 7*a + 65. Is p(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 496 and 12028.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-2\/111))\/(n\/n**(-1\/14)) assuming n is positive.\nAnswer: n**(-139\/1554)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 17\/(-170) - (-82)\/20. Put g, -28, 0 in increasing order.\nAnswer: -28, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10214325 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(2 + 39594\/(-19794)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22660 rounded to the nearest one thousand?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 9 = 45. Let d(h) = 9*h - 15. What are the prime factors of d(v)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (-3 - (10 - 23))) + 15 + 19\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.03075 + -0.03072719. Round s to six decimal places.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-700)\/112 + -3 + 39\/12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 5*z - k - 4, k + 10 = -3*z. Let m(j) = -12*j - 3. What is the tens digit of m(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 64 - 118. Let y(s) = -s. Let u be y(4). What is the tens digit of p\/u + (-1)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 5 = -3*b, 3*b = -0*b for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*m**3*n + 17599473*m**3 - 7*m**2*n + 7318*m*n + 5*n with respect to n.\nAnswer: 2*m**3 - 7*m**2 + 7318*m + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6421 + -3146. What is the greatest common divisor of f and 200?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {a: 16, p: 2}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 5*u**2 + 4*u + 5. Is 9 a factor of f(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7e2816 (base 16) in base 11?\nAnswer: 47377a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 5*i + 12 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -513 - -6?\nAnswer: -507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(110) - 2*sqrt(110))\/sqrt(10) - ((-1*sqrt(11))**2 + -2)) + ((sqrt(539) - sqrt(539)*2) + -4)**2 + -2.\nAnswer: 55*sqrt(11) + 549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -u + 6*u. Let s = 92\/7 + -1366\/105. What is the third smallest value in s, 1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15\/533669 - 20274618754\/8005035. Let v = i - -2535. What is the common denominator of v and 23\/27?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 5:07 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*m = -77*m + 12208. Let f be -2 + 27 + (-4)\/(-2). Suppose 2*b = -4*n + 68, 4*n - 5*b = f + 27. Calculate the greatest common factor of n and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ec - 257c?\nAnswer: -2679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.17684 and 505869.\nAnswer: 505869.17684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3097 and 978.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 21\/5*l**3 - 18\/5*l**5 - 3\/5*l**4 + 3\/5*l**2 + 0 - 3\/5*l = 0.\nAnswer: -1, -1\/2, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**2 + x - 3. Let l(n) = -n. What is -c(i) + l(i)?\nAnswer: -2*i**2 - 2*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/2 and -199\/330.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-1*(-1)\/9). Suppose -105*s - 28 = -133*s. What is the derivative of 1 - s + 18 - 7 - p*w**4 wrt w?\nAnswer: -36*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-66)\/(-198))\/(1\/3). Let o be 9 + z - (2 + 0). Solve 0 = -4*f + 4*b + 16, 8*f - b - o = 5*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-1 - 2\/(-3)). Suppose -2*i - 4*l = -14, 0*l + 3 = j*i - 3*l. What is the greatest common factor of 1 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2199*h**2 - 16428 wrt h.\nAnswer: 4398*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmm when four letters picked without replacement from mmlmmmmmmmlm.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is l in l**4 + 14339*l**3 - 2217585*l**2 - 4478183*l - 2246260 = 0?\nAnswer: -14492, -1, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*d**2*i - 6*d**2*w + 204*d*i*w**3 - d*w**2 + 2*w**3 - 125*w wrt i?\nAnswer: -4*d**2 + 204*d*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -7382679?\nAnswer: -14765358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 5*d + 6*d + 2667, 4*o - 3*d - 10672 = 0. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 6\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -33 and -2331055.\nAnswer: -2331088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 17*y**2 + 2*y + 2. What is the units digit of m(11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 504, 1007, 1510, 2013, 2516?\n\"Answer: 503*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 191 + 163*z + 161*z + 3*z**2 + 157*z - 481*z.\nAnswer: 3*z**2 + 191","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/6*3\/((-1)\/(10\/(-10)))*-1?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/1 - -3) + -4. Let g(y) be the first derivative of -2\/3*y**3 - 2*y + a*y**2 - 1. What is the first derivative of g(t) wrt t?\nAnswer: -4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 - -21. Suppose -2*a = -6*a - 20, -2*h + 5*a = -p. Solve -4*l - 7 + 19 = 2*x, -3*l + h = 3*x for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 22\/5 - 2\/5. Let o = 63\/2 + -32. Let w = -5.4 - -10.4. What is the biggest value in w, o, t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/619 + 1850\/4333. Sort d, 1\/5, 0.5, -2\/499.\nAnswer: -2\/499, 1\/5, d, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2266409 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 + 2*b - 3. Give y(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from {k: 6, c: 2}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1766, -3526, -5296, -7082, -8890, -10726?\nAnswer: -12596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -3) + (5 - 1 - 6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 8. Let p be (-40)\/4*m\/(-10). Solve 0 = -4*f + p - 16 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 13*n**2 + 10*n - 6. Let r(f) = -4*f**3 - 51*f**2 - 41*f + 23. Let o(i) = 9*g(i) + 2*r(i). Does 14 divide o(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1357*u = -1333*u - 227880. List the prime factors of u.\nAnswer: 3, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*h**3 + 22*h**3 + 43*h**3 - 53*h + 32*h**3.\nAnswer: 3*h**3 - 53*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*4\/(-16))\/(4\/(-14)*-7).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 527067\/162 + (-3)\/(-6).\nAnswer: 2, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3*b**3 + 3*b - 2. Let m(g) = -3*g**3 - 4*g**2 + 3*g - 3. Let s(f) = 2*f**3 + 3*f**2 - 2*f + 2. Let d(p) = -3*m(p) - 4*s(p). Determine a(n) + d(n).\nAnswer: -2*n**3 + 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 22\/33 - (-4)\/(-6). Let r(b) = 2*b - b - b**3 + 5 - 2. Let y be r(a). Solve y*i - h = -6, -6 = 6*i - 3*i - 5*h for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -24. Let m = -13 + d. Calculate the greatest common divisor of 30 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 33, -2, -115?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 3*k**2 - 2*k - 2. Let o be a(3). Let g = -4 - o. Suppose 4912 - 512 = g*x. What is x rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 17200*t**3 + 500*t**2 + 500*t - 500. Let p(b) = -103*b**3 - 3*b**2 - 3*b + 3. Determine 3*m(r) + 500*p(r).\nAnswer: 100*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(180)\/(sqrt(60)\/(sqrt(12)*1)))\/((1*sqrt(300) + sqrt(300))*-3).\nAnswer: -5 - sqrt(3)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-293*s - 91*s + 29*s)*(-4 + 5 + 0).\nAnswer: -355*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 7:22 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -504*c - 12. Let l(j) = 505*j + 15. Let v(a) = -5*l(a) - 6*p(a). Is v(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ipm when three letters picked without replacement from {g: 5, m: 4, i: 3, p: 1}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**2 - 380*k - 382 = 0. Calculate k.\nAnswer: -1, 191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 (base 6) in base 8?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + u - 4*x + 26 = 0, 0 = 4*u - 5*x + 1. Suppose -2 - u = -4*f. Solve i = f*i - 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 5*d + 2. Calculate g(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -102, -201, -340, -519?\nAnswer: -738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1251, 1250, 1249?\nAnswer: 1248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 + 35. Suppose -4*t + d = -6*t + 5, 2*t + z*d + 7 = 0. Solve -2*y = -3*w - 8, w + 8 = -w + t*y for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + (sqrt(77)*1 - sqrt(77)))*1)\/sqrt(7).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 112425, -511, 0, 4 in increasing order.\nAnswer: -511, 0, 4, 112425","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 1915 - 1890 = 3*t, -126*z - 4*t + 4272 = 0 for z.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2 = -2. Let m be ((0\/(-2))\/x)\/(-1). Solve 0 = -m*r - 5*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -8. Suppose 0 = 6*q - 2*q - c. What is the third derivative of 2*m**4 - 4*m**4 + 3*m**q - 2*m**4 + 2*m**2 wrt m?\nAnswer: -96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -2\/5, 0.66, 4, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - 7*t + 9. Let a be i(8). Let k = 8 + a. Is 6 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus 2853706?\nAnswer: -2853705.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-11))\/(-2 - -3). Let h be -15*(0 + -2)\/12. What is the smallest value in h, k, -1\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3*n**2 - 6*n + 15. Is 34 a factor of x(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4449, 1292, -7277, -23964, -51475, -92516, -149793?\n\"Answer: -451*q**3 + 4900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4136 and 265738?\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 + 20. Suppose 0 = -v*f - 12, -w = 4*f - 7*f - 12. Let g(x) = -2*x - 4 + 4 - w + x - x**2. Let t(n) = 2*n**2 + 2*n + 5. What is 5*g(p) + 3*t(p)?\nAnswer: p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(72) + -2 - (sqrt(80)\/sqrt(5))\/sqrt(8).\nAnswer: -2 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -557249, -557207, -557163, -557117, -557069?\nAnswer: -557019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.08794 and 0.5.\nAnswer: -0.04397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -4. Solve 0 = -4*p - 16, -q*x = -5*x - p - 7 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 375 + -157. Does 45 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k. Let o(t) = t - 2. Let h be (9\/6 - -1)*(-428)\/(-10). Let p(j) = j**2 - 20*j - 9. Let g be p(10). Let d = g + h. Calculate d*u(x) + o(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -165 - -417. What is the greatest common factor of 56 and s?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1158574470 and 930?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 619648?\nAnswer: 1858944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.98*5\nAnswer: -4.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {l: 3, i: 5}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 313580.\nAnswer: 2, 5, 15679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 12*s + 341. What are the prime factors of ((-4192)\/s)\/(1\/3)?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132815573.1s to weeks.\nAnswer: 219.60246875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y = 4*y - 5*z + 55, -4*y = z - 35. What is the least common multiple of y and 935?\nAnswer: 7480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 j when four letters picked without replacement from {v: 1, b: 1, s: 4, j: 7}.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 11:03 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p + 127. Let j(m) = 63*m. What is o(j(b))?\nAnswer: 63*b + 127","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -37, -45, -71, -127, -225, -377, -595, -891?\n\"Answer: -2*j**3 + 3*j**2 - 3*j - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 178?\nAnswer: 1780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l + 22. What is m(-16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80045 and 18935.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**3 - 22363465*o**2 + 22363470*o.\nAnswer: -5*o*(o - 1)*(o + 4472694)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -112 - -3?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*l + 6*l - 3 = 0, 4*a + 16 = 4*l. Let y(n) = -12*n - 4. What are the prime factors of y(a)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -93, -181, -269?\n\"Answer: -88*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -100.601886 to zero dps.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is -20635710 rounded to the nearest 100000?\nAnswer: -20600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13146, -26215, -39284, -52353, -65422, -78491?\nAnswer: -91560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -10*k + 31. Let i be s(6). Let j = i - -32. Solve 0 = j*d - 0*d + 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/6)\/((-7)\/(-105)). Let s be (4 + z)*2\/6. Solve -4*l = 16, -5*t + s*l + 16 + 6 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -22*w + 15 + 12*w - 38 + 15*w. Let a be t(5). What is the first derivative of 3*g**2 + 0 + 6*g**a + 1 wrt g?\nAnswer: 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33806245971 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-864)\/(-132) - ((-1508)\/(-261) + 2\/9). What is f in 0*f**2 - 2\/11*f**3 + s*f - 4\/11 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.07 (b) -5114 (c) -180\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/48*(-3)\/(-6)*3\/(-5)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-1 - (1 - 11 - (-7 - -2))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-6))\/(((-456)\/80)\/19).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.087 - 108.723. Round j to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46 and 1242?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -253122884*q**3 - 156071105*q**2.\nAnswer: -1518737304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (169 - 153 - (-2 + 25)) + 15 + -62.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -14\/9565131?\nAnswer: -14\/9565131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/15? (a) -0.1 (b) 0 (c) -6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 458.62119s?\nAnswer: 0.005308115625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -3, 12, -62.\nAnswer: -62, -3, 0, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 441 and 1617?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -63, -131, -215, -309, -407, -503, -591?\nAnswer: -665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15 + 70)*-1)\/(-10 - 65\/(-7)).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 53495664 to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: 54 (base 6) to base 2\nAnswer: 100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/922740 and -1\/3427320.\nAnswer: 23991240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 594 - 629. Let x be 2 - (3 + (-9)\/3). Suppose 49 = -x*n + 3*n. What is the highest common divisor of u and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kzxk when four letters picked without replacement from lwwskwzlzzlxllk?\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**3 + o**2 + o + 2. Let a(v) = v + 4. Let n be a(-7). Let x be r(n). Is (-1)\/(-1 - (-60)\/x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20041 is divided by 10020.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 2981.\nAnswer: 3\/2981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of 3*b**2\/2 - b + 3. Determine a(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - 6. Let z = d - -41. Suppose 14*y - 702 = y. Calculate the remainder when y is divided by z.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - n + 3*j + 1165, 3*j + 245 = n. What are the prime factors of n?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14579 - 2415?\nAnswer: -16993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((1 + sqrt(567))*-1 + sqrt(567))**2 - -6*(-4 + sqrt(175) + 2).\nAnswer: -11 + 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-120)\/696)\/(5\/10)*10\/(-25). Put w, 0.02, -6\/19 in descending order.\nAnswer: w, 0.02, -6\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = m - 42. Let g be -3 - (-2)\/(-2*11\/m). Do 2 and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p + 5 = 7*p, 3*p + 58 = n. Is n a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2701*z**2 + 2446*z**2 - 4168*z**2.\nAnswer: -4423*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**2*i**(4\/7))**38 assuming i is positive.\nAnswer: i**(684\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/3016 and 43\/20?\nAnswer: 15080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 2\/17 (c) 174574 (d) 0 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r**4 + r**3 - 2*r**4 + 2002 - 1999 as u*r**2 + c + t*r**4 + g*r**3 + x*r and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -3 (b) 162\/11 (c) -5498 (d) -3\/7 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51 and 1462?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25219836*-0.06.\nAnswer: -1513190.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1071?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -r**2 + 0*r**3 + 8*r**2 + 4*r**3 wrt r.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2471554?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1221 + -1219. Solve -y - 5*t = 4 - 13, 2*y = -c*t + 10 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-264)\/38 - (-147)\/21)\/(144\/(-288))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that m**2\/3 - 2930*m\/3 + 7792 = 0.\nAnswer: 8, 2922","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -404*x = -177 - 227. Let c = 1 - 2. Put 3, 115, x, c in ascending order.\nAnswer: c, x, 3, 115","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + -4 + -15 + -3. Let w be n\/(-55) - 86\/(-10). What is the units digit of 1 + -5 - -1*w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 3.234.\nAnswer: 6.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 22\/5 (b) -4 (c) -32\/3 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*(-55)\/(-33) + -2. Let w(g) be the first derivative of -7 + 3\/2*g**2 - p*g. Differentiate w(f) with respect to f.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.1 + 19.1. Let t = y + -28. Let z = 0 + 3. What is the second biggest value in z, 1\/3, t?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (96\/18 + -6)\/(2\/(-240)). Suppose -52 - z = -33*c. Solve -c*i + 1 = -0*i + p, -5*i = 2*p - 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87553810367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 2*(1 - 6) + -2 + (-15600)\/(-1140)?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r - 6 = -0*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000007197 to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -5*s**3 - 8655*s**2 + 1310405*s + 1319055 = 0.\nAnswer: -1871, -1, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 - 11 - 4 + 552*g**2 + 29 to the form h*g**2 + c*g + k and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 1:37 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-16)\/12)\/(2\/(-21)). Let i be (-2700)\/(-2)*(a + -14014). What is i rounded to the nearest 1000000?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j = 14*j + 2*u + 16, -5*u = -10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -27*i - 12. Let a(f) = -f**3 - 4*f**2 + 5. Let c be a(-4). Let t(p) = -1 - 17*p - 1 + 6*p - 3. Calculate c*h(u) - 12*t(u).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150978143?\nAnswer: 5573, 27091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2d0 (base 14) in base 15?\nAnswer: -284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 520 + -517. Let k(o) = o + 1. Let y be k(2). Let c be (-1)\/(y - 10\/3). Solve 0*m + c = -h*m + 5*u, 3*u = 9 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5064 times 0.5?\nAnswer: 2532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -9669?\nAnswer: -1\/3223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*x = -4*x - 321 + 33 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 76*v**2 - 860*v - 103. What is y(86)?\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4 + 0*u + u - 3*u. Let o be c(-6). Suppose o*t**3 + 0*t**4 + 4*t**2 - 10*t**4 - 2*t**3 = 0. Calculate t.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/34777 and 113\/4381902.\nAnswer: 4381902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**2 - 8*s**2 - s**2 + (5*s - s - 2*s)*(1 - 1 - 2*s) - 34*s + 3 - 4 + 35*s - s**2.\nAnswer: -12*s**2 + s - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -6. Let r be (-2)\/(-3) + 78\/(-9) + 10. Sort 1, r, y, -1.\nAnswer: y, -1, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 65 + -63. Solve l + q = -t*l - 15, -2*q = 6 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -40.81 + 3.21. Let l = -37.59999799 - a. What is l rounded to seven decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29178 divided by 4\nAnswer: 14589\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppplplpp. Give prob of picking 3 p and 1 l.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -14788153 and -188.9445.\nAnswer: -14788341.9445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 11, 1, -35, -109, -233?\n\"Answer: -2*a**3 - a**2 + 7*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ni when two letters picked without replacement from {k: 2, l: 10, o: 1, i: 1, n: 1, j: 3}?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*a - 19*a + 15. Suppose 0 = -5*t + 4*t + 5, 0 = a*o + t - 794. List the prime factors of o.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.74 - 648.26. Let a = 646.47 + n. What is a rounded to 1 dp?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/2 + (-1 - 0). Suppose 2*y - p + 1 = u, -3*y + p + 3 = y. Solve -4*t = -5*x + 12 - 5, -y*t + 7 = x for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 81*b**2 + 78*b - 144. Calculate r(80).\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**3\/13 - 67282*v**2\/13 + 575979408*v\/13 - 169471556640\/13 = 0. What is v?\nAnswer: 305, 16668","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 19053.\nAnswer: -1\/19053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**2 + 3*r**2 - r**2 - 4*r**2 + r**2 + 4*r**2 + (-4 + 2 + 0)*(r**2 - 3*r**2 + 3*r**2) - 1 - 2*r**2 + 1 + (-r**2 + 1 - 1)*(0 + 1 + 3).\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 7177 and -3.2.\nAnswer: 7173.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/7, 15, 1195?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1230.8*-0.25\nAnswer: 307.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -47049 from -0.5.\nAnswer: 47048.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of c**4\/4 + 7*c**2\/2 - 2. Find the second derivative of s(n) wrt n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2651022 by -18.\nAnswer: -147279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2200002 (base 5) in base 14?\nAnswer: d94a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16013632 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 8, -5, -1, 171, -3, 6 in descending order.\nAnswer: 171, 8, 6, 4, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, 5\/2, 3\/4, 4, -1\/5 in decreasing order.\nAnswer: 4, 5\/2, 3\/4, -2\/15, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34*x**5 + 15*x**3 - x**2 + 7*x + 143?\nAnswer: -680*x**3 + 90*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58233 - 57423 = 6*i. Is 9 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 d when three letters picked without replacement from dbvgddggdgbdbgbg?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/2548 and 97\/312?\nAnswer: 15288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -1. Find the second derivative of -u*b**2 - 6*b - b**2 + 7*b wrt b.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6480 divided by -5?\nAnswer: -1296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 2*w**2 - 1. Let i be j(-1). Suppose -20 = -2*x - 12. Let f be 18\/4 - 6\/x. Solve -6 = 3*g - o, -11 = -f*g + i*g - 4*o for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus 135?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -139*t + 2. Let y(s) = 70*s - 1. Let p(r) = -6*i(r) - 13*y(r). Let n(u) = 22821 + 3*u - 7607 - 7605 - 7609. What is n(p(g))?\nAnswer: -228*g + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -12*s - 136. Give q(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36 - -38. Suppose -i*z + 7 = -9. Let b = z + 6. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.2678 rounded to 1 dp?\nAnswer: 13.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 61007\/16 - 3810. Find the common denominator of -1 + 59\/(-56) - 8\/14 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -k**5*t - 17*k**3*t + 13*k**2 + 2*k*t wrt k?\nAnswer: -60*k**2*t - 102*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(272) + 0)*-3*6)**2.\nAnswer: 88130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 856?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 60777574 plus -5103?\nAnswer: 60772471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 9293982.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -54 + 4. Let d(j) = 282 - 5*j - 282. Let z(f) = -f. Give y*z(c) - 6*d(c).\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a. Let c(v) = -1149*v - 1. Calculate i(c(p)).\nAnswer: -1149*p - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 3:47 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 138160122238043 - 138160120353742.76400182. Let g = p - 1884319.736. Let c = g - -19.5. Round c to 7 dps.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -v**5 + v**4 + 3*v**3 - v**2 - 2*v = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 6*q**5 - 9)*(9 + 4 - 3)*(2 - 2 + 1).\nAnswer: 60*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -5*q - 12. Let x = q - 6. Suppose -j - g + 107 = g, x = -5*j - 2*g + 575. Is j a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of t**4\/4 + 13*t**3\/3 - t**2\/2 - 3*t - 111. Suppose 28 - 15 = -y. Give z(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((560\/12)\/4)\/((-6)\/10 - (-84)\/90)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -142, -415, -1154, -2593, -4966, -8507, -13450?\n\"Answer: -39*r**3 + r**2 - 3*r - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 112006?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 9) to base 4.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9888478?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 273, 524, 775, 1026, 1277, 1528?\n\"Answer: 251*p + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -124*c - 38. Let i(t) = -1. Let p(r) = a(r) + 4*i(r). What is the tens digit of p(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37\/4 - (-2 - -3)*(31 + (-5250)\/168).\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -8*c**2 + 66*c + 17. Determine y(13).\nAnswer: -477","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16468, 19150, 21832, 24514, 27196, 29878?\nAnswer: 32560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + (-1081152762)\/1852396 - -2. Let p = -7148\/35623 + v. Let u = p - -7656\/13. Find the common denominator of 29\/4 and u.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in -0.4, 1, 2639.6, 4\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6716 and 212336?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 10982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 9425.77 millennia?\nAnswer: 942577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2\/11 + (-2434100)\/(-1100)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 45625, -406?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -183*x**2 - 1361*x - 2512. Give y(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -35*z - 15. Let o(k) = -174*k - 74. Let f(s) = -22*j(s) + 4*o(s). What is the tens digit of f(16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z = 9*z + x - 67, -3*z + 32*x - 69 = -x for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -58 + 9. Let n be 12\/(-7) - (-14)\/c. Sort 3, n, -3 in descending order.\nAnswer: 3, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3303, 17, 93 in ascending order.\nAnswer: 5, 17, 93, 3303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.091574 or 0.043?\nAnswer: -0.091574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222 is divided by 80?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.92 take away -13862.37?\nAnswer: 13865.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1022 (base 3) in base 9?\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of t**4\/4 - 10*t**3\/3 + 23*t**2\/2 - 18*t + 15. Let r be p(9). Let d(z) = -2*z**2 + 3*z**2 + 107*z - r*z. Give d(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*1\/3*-2*3. Suppose s = m + 1. Solve m*c + 3*h - 3 = 0, -3*c - 2*h - 1 = -2 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 180 = 8*h - 3*h, 0 = -3*c + 4*h + 115. Let r = c + -24. Does 13 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -138 - -142. Let u be ((-48)\/12 - (-14)\/a)\/(-14). Suppose 2*n + 5 = -0*n + 5*t, n + 3*t = 3. Which is smaller: u or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 9. Let q be (2\/(-10))\/(611\/(-6110)). Put 20, q, v in ascending order.\nAnswer: v, q, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -198? (a) -2 (b) -9\/2 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -5*d**2 - 215*d + 1429. Calculate r(6).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -924 - 368*g + 2*g**2 + 371*g - 592.\nAnswer: 2*g**2 + 3*g - 1516","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2. Let v(r) = r**3 - 2*r**2 + 4*r - 21. Let i be v(4). Let u(h) = 50*h**2 - 31*h + i*h + 10*h**2. Determine u(c(j)).\nAnswer: 60*j**4 + 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -698 to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*w + 830 + 965 = -1153 for w.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -49, -43, -27, 5, 59, 141, 257?\n\"Answer: j**3 - j**2 + 2*j - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v - 10*v = -9*v. Suppose v = i + 4*f - 3489, 5*i + 4267 = 2*f + 21712. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*q + 66*q**2 + 54*q.\nAnswer: 66*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 14, 5, -30, -103, -226?\n\"Answer: -2*l**3 - l**2 + 8*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/4 and -29\/33?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.8, 14, -3, 0 in decreasing order.\nAnswer: 14, 0.8, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38815 + -38789. Solve -o = -5*b - 5, -3*o - 11 + r = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1, -1441, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*(-275)\/(-44) + 12. Which is the nearest to 2? (a) -10 (b) 2\/21 (c) l (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-136)\/144 + (-3)\/(-2). Do x and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 22. Let c = -8 - y. Solve c*n = -2*n + 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11975 is divided by 378.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(396) + sqrt(11))*-4 - sqrt(11))*3 - ((sqrt(176) - (sqrt(176) + -2)) + sqrt(176) + -2))*5)**2.\nAnswer: 2277275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5*z = -7*z + 348, -4*z - 16 = 0. Let o = 89 + u. Which is the biggest value? (a) o (b) -2\/11 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 14877 + 3531 = 0. List the prime factors of v.\nAnswer: 3, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 2:01 PM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -123*l - 1255. Let n be m(-67). What is the greatest common factor of 28 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a centimeter in micrometers?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2008*r + 2518. Let b(k) = -3013*k + 3777. Let f(g) = 5*b(g) - 8*j(g). Find the first derivative of f(p) wrt p.\nAnswer: 999","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -3264 (c) -9\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 - (-20 - -5 - 5)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 785 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 218277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 2 - 2 = 0, -2*r + 8 = h. Suppose -w + 79 = -49. Suppose -w = -r*x + 481. Calculate the greatest common divisor of x and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13123330 (base 5) to base 15\nAnswer: -28710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1152384533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -9. Suppose -112 = -4*k + 4*v, d*k + 3*v - 44 = 33. List the prime factors of k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**(2\/7))\/g*(g*g\/(g\/(g**(2\/5)\/g)))\/g)\/(g**8\/g**(-4)))**17 assuming g is positive.\nAnswer: g**(-7667\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - 3*y + 7*y)*(-7*y + 3 - 3).\nAnswer: -14*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -t**4\/18 - 8*t**3\/9 - 16*t**2\/3 - 6*t. Factor c(k).\nAnswer: -2*(k + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0090044 + -0.1670642. Let c = f + 0.158. What is c rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 207\/(-12) + (-2)\/(-8). Let y = n + 25. What is the remainder when 14 is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -1334?\nAnswer: 1330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1, -3, -5, -7, -9?\n\"Answer: -2*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6022881 or 6022891?\nAnswer: 6022891","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) + -1 + sqrt(378)\/sqrt(6) + -5*(sqrt(7) + 1 + 0))*1)**2.\nAnswer: -24*sqrt(7) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y - 29*y**2 + 2219469 + 3*y - 19*y**2 - 2219469.\nAnswer: -48*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 0.1 (c) -0.28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159256?\nAnswer: 2, 17, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*n = 1538 - 754 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -19b?\nAnswer: 19d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*g - 7. Let i be ((-69)\/g)\/((-3)\/28). Suppose 3*a + i - 991 = 0. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 78*z**5 + 2926*z**4\/3 - 5854*z**3\/3 - 13678*z**2\/3 - 4460*z\/3 + 224 = 0.\nAnswer: -14, -1, -8\/13, 1\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4338877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*((-2 + 1 + 0)*(2 - 4 + 3) - 1 + 0 + 3)*(4*v - v - 5*v)*(-2 - 21 + 3).\nAnswer: -40*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1117 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 - 0.7. Let j = -17434 + 17429. Put j, -2, n, -2\/15 in ascending order.\nAnswer: j, -2, n, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19860 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1668)\/(-7228) + (-933)\/(-13). Solve -23 = a*g - 49*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1056 + -1491. Is -435 not equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 364 + -649. Let m = 349 + h. What is the greatest common divisor of m and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 4.811099nm?\nAnswer: 0.000000004811099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -92 - 328 + 110 - l - 277 - 165 as q*l + d and give d.\nAnswer: -752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 - 5*z + 3. Let i = 6 - 1. Let s be d(i). Solve 0 = 2*c + s*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12114768799 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 PM and 12:32 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5*w = 56, w - 93 = -5*y + 67. Let v = y + -4. Let f = v + -21. Solve 0*r - 2*o = 4*r - 4, f = -2*r - 5*o for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 5, -0.3, 0, 38.91?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7527099.\nAnswer: 3, 383, 6551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -226.16945 rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**2 + 30. Let z(w) = 42*w**2 - 32*w - 16. Let a(s) = -8*s**2 + 6*s + 3. Let b(y) = 16*a(y) + 3*z(y). What is q(b(g))?\nAnswer: 8*g**4 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 756480 and 5910.\nAnswer: 756480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-33 + (-6 - (0 - -8 - 16))).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -5*j**2 - 12*j + 4. Let u(z) = 11*z**2 + 24*z - 8. Let v(f) = 9*s(f) + 4*u(f). What is the smallest common multiple of 2 and v(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3494851.5 to the nearest one thousand.\nAnswer: -3495000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 14) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, t: 3, b: 1, y: 1}. What is prob of sequence ttbt?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -89, -26, -0.04 in descending order.\nAnswer: -0.04, -26, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 w when two letters picked without replacement from {r: 8, w: 1, v: 2, f: 1, d: 1, x: 3}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p = 109 + 31. Solve 37 = -p*l + 7 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -4) + 1 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -206, -2, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p - p + 5*p)*(-4*p - 24*p - 7*p + (0*p + 3*p - 2*p)*(0 - 6 + 14)).\nAnswer: 27*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-152)\/16 - 1\/(-2). Let o(f) be the second derivative of f**3\/2 + 14*f**2 + 10*f + 3. What is the units digit of o(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 7*g**2 + 3*g + 10. Let z be 34 + (-2)\/(-10)*5. Let u be -4 - -3*z\/15. Suppose -5*l - 31 = -4*y + 6*y, 5*l = u*y - 41. What is o(l)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -1324?\nAnswer: 1320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2819*n + 2823*n - 116 = 0. Is 516\/17 greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 4:38 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 450 + 0.2?\nAnswer: 450.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 20, t - 5*g - 39 = -15. What is the derivative of 2 - 5 + 0 + 0 - f**t wrt f?\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + (2 - -5))\/((-4)\/38). Let y = 60 + t. Suppose d - 263 = 2*p, -7*d = -y*d + 4*p - 1028. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 65*f - 4. Let a be (6\/(-4))\/((-3)\/6). Is q(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -14. Suppose -2*p + 5*j + r = 0, 4*p - 5*j - 3 - 5 = 0. Calculate the highest common divisor of p and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 355\/16 - -9\/16. Let k = -305797\/16 + 19099. Let y = -303\/16 - k. Calculate the common denominator of b and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 462 and 266?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 5.986226\nAnswer: 0.986226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.005? (a) 18 (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (434\/(-93))\/((-25410)\/(-3960)).\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -4*b**2 + 9*b - 2. Let q be c(8). Let u = q - -311. Is 25 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hx when two letters picked without replacement from hydhryhsshxdyrr?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 4*f + 15 + 2, -f - 2 = 0. Put c, -2, 0 in decreasing order.\nAnswer: c, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 4)\/(-10 + 105\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 7*p**2 + 5. Let w be o(7). Let n be (-5)\/(2 + 2 - w). Solve 3 - 8 = n*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 7657*j + 930. Let k(u) = -33*u - 4. Let a(v) = 4*f(v) + 930*k(v). Let y(l) = -l**2. Give y(a(o)).\nAnswer: -3844*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-10) + 217\/(-35). Let z be 1 - 3*(-1)\/k. What is the second biggest value in z, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21.27 - 20.87. Which is the fourth smallest value? (a) 7\/2 (b) -1 (c) -0.3 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -9*m**3 + 4*m**2 + 3*m - 1. Let i be j(-4). Let n be 2\/(-7) - i\/(-63). Let b = n - 148\/15. What is the third smallest value in -5, b, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -123 - 126 - 4*y**2 + y + 252 + y**3. Let a be (-27)\/3*2\/(-6). What is r(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 9 = -0*i. Let w(r) = 3852*r**3 - 2*r - 2. Let d be w(i). Round d to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 846 and 3145864959.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11551.\nAnswer: 11551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -1799, -4\/9, -0.1, -3\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/((-54)\/(-60)) + (-1)\/3. Suppose i - 1 + 4 = 0. Is (g\/i)\/(5\/(-2185)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 20*n**2 - 90*n - 12. What is the hundreds digit of s(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1558*n - 32776 = -2590 - 14877 + 61033 for n.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a millennium?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -11*b**2 + 786*b + 1235. What is j(73)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*a**3 + a**4 + a**4 + 2*a**2 + 7*a + 11*a**3 to p + z*a**2 + c*a**3 + g*a**4 + k*a and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*b = 104*b - 38. Solve 5 = b*j - 7*j, -3*z + 6 = 3*j for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -9. Suppose 2*x = m*k - 11, 3*k - x + 7 = 14. Factor -1\/2*h**3 + 4 + k*h**2 - 6*h.\nAnswer: -(h - 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 65*m**2 + 405*m + 51. Is 19 a factor of h(-50)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 715.303 centimeters to millimeters.\nAnswer: 7153.03","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r + 4. Suppose 2 - 26 = 3*z. What is j(z)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f + 3*f - 1 + 0 + 0. Suppose 2*j = 8 - 0. Determine r(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5737691*h**2*o + 48*h**2 + 38051*o + 8733 wrt h?\nAnswer: -11475382*h*o + 96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 423 - 324.2. Let y = u + -98.203. Let w = 0.7 - y. Round w to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 601, 607, 613, 619?\n\"Answer: 6*i + 595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 898114 - 898113.921402592. Let b = 0.0786 - d. Round b to seven dps.\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*m - 82 + 34*m**2 + 39 + 43 + 2*m to the form f + p*m + u*m**2 and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - f - 38*f - 26*f + 10*f + (-3 + 0 + 5)*(95 - 95 - 10*f).\nAnswer: -75*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*v - 2132*v**2 + 2*v - 11*v + 0*v - 1.\nAnswer: -2132*v**2 - 27*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1738?\nAnswer: 2, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000064331149 rounded to six decimal places?\nAnswer: -0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*t + 47*t + 36*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -1423*s**3 + 2*s**2 - 90*s - 287. What are the prime factors of n(-3)?\nAnswer: 2, 19211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 times -26251.15\nAnswer: 1837.5805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 0 - k**2 - 4 + 2 - 3*k. Let s be m(-2). Let u(f) = -3*f**2 - 5*f + s + 6 + 2*f**2 - 2. What is u(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 4*s**2 + s - 3. Let d be k(4). Suppose -5*n = -4 - d. Suppose 3*u - 3 - 3 = 0. Sort -2, n, u.\nAnswer: -2, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in twenty-five quarters of a microsecond?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3487535, -6975067, -10462599, -13950131, -17437663?\n\"Answer: -3487532*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 4) to base 14\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.193168784 rounded to 3 dps?\nAnswer: -1.193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*g*h**2*y - 7*g*h*y - g*y + 1381811*g - 1472*h**2*y + 1233*h**2 + h*y + 2*y wrt h?\nAnswer: -8*g*y - 2944*y + 2466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 284127986 to the nearest integer?\nAnswer: 16856","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -512, -3\/5, 5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 8073.2495\nAnswer: 4036.62475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.008? (a) 7\/5 (b) -2\/3 (c) -1 (d) 7 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*u - 172*u + 2700 = -93*u for u.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-3621)\/(-204))\/(-1 + -5) and 101\/66.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 408 and 124672424.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of c**8\/112 + 41*c**6\/120 - 3*c**5\/20 - 9*c**4\/8 - 20*c**2 - 19. What is the third derivative of l(f) wrt f?\nAnswer: 180*f**2 + 246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 3 (b) -4 (c) -4\/1045\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.2 take away 3033782.002?\nAnswer: -3033777.802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/3 - 284*u + 60492.\nAnswer: (u - 426)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -231, -78, -3\/13, 1\/4?\nAnswer: -231","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*x - 4*x = -10, -3*w - x = -15. Suppose 4*l = w*z - 13, 4*l - 23 = 3*l - 4*z. Solve 11 + 1 = -l*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -545561131 != -545561129?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 1 - 11 = 0, 0 = -x + 2*h + 200. Let y = x + -207. Sort 4, -7, y in ascending order.\nAnswer: -7, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + (-2*(sqrt(1331) + -1))**2).\nAnswer: -26645 + 440*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -22 - (3 + -2 + -8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16814206?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4952 + 8?\nAnswer: -4946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 346\/(-18) - ((-2576)\/252)\/46\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 514 at least -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -225*i - 61*i - 2 - 179*i + 10*i**3 + 82*i.\nAnswer: 10*i**3 - 383*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 87 - (-57 - (-40 - 31))?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (406\/3)\/(-1) - 16\/(-48). Let h = 195 + q. Is 15 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1591855*j**4 + 2*j**2 + 87285*j wrt j?\nAnswer: 38204520*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 682?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**4 - 2*j + 2*j + (-2*j**2 + 4*j - 5*j - 2*j)*(2*j**2 + 0*j**2 - j**2).\nAnswer: j**4 - 3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.44242601 take away 48?\nAnswer: -53.44242601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 37 (base 11) to base 7\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of r**4\/4 + 4*r**3 - 13*r**2\/2 + 15*r - 113. What is the hundreds digit of k(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5184482 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 5*o**2 + 13*o**2 + 101552*o**3 - 101553*o**3 + 0.\nAnswer: -o**3 + 18*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5400 is divided by 1268?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43.69484 - -0.02484. Let f = -18 - -62. Let h = f + v. What is h rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34 - -11 - -5) + 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l\/(l*l\/(l*(l**(2\/7)\/l)\/l)))\/l)\/(l*l\/(((l*l**(-5))\/l*l)\/l)*l))**1*((l**2*l)**(-2\/3))**46 assuming l is positive.\nAnswer: l**(-712\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seventeen quarters of a micrometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**30*m*m*m**(-32)*m assuming m is positive.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**3 + 50*r**2 - 2027*r + 50687. Calculate y(25).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -11*o**5\/120 + 2*o**3 - 28. Let h(q) be the third derivative of r(q). Let d(w) = -w. Determine d(h(b)).\nAnswer: 11*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is d in d**2 + 4000498*d + 8000992 = 0?\nAnswer: -4000496, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by -29070635.\nAnswer: 3\/5814127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 1, -2, -11 in increasing order.\nAnswer: -11, -6, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*g - 1147 + 606 + 541.\nAnswer: 16*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g - 33010 + 33010.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - 30*o + 174. Determine u(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -c**7\/7 - 53*c**6\/15 - 373*c**5\/30 - 197*c**4\/18 - 10*c**3\/3 + 150*c + 28. Find a, given that f(a) = 0.\nAnswer: -15, -2, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 14*l - 14. Let y(p) = -2*p - 34. Let c be y(-21). Let k(x) = -5*x + 5. Give c*k(b) + 3*f(b).\nAnswer: 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 401 (base 10) to base 2.\nAnswer: 110010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 11) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2861781 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25.5, -163, 6 in decreasing order.\nAnswer: 25.5, 6, -163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*t + 6 = -38*t. Suppose k + t*f - 120 = 0, 16*k + 5*f - 585 = 11*k. Is k a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3926\/7 at most as big as -561?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5724 - 2409. Suppose -4*y + 1553 = -d. Suppose 6*z + 257 = y. Is z a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 8*k**2 + 11*k - 10. Calculate h(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/6)\/((-4)\/6). Suppose v - 12 = -3*v. Suppose v*b + 2*b = 25. Put t, b, -3 in ascending order.\nAnswer: -3, t, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 457130310 divided by -16367\nAnswer: -27930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24365018 divided by -4.\nAnswer: 12182509\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 240\/18*((-9)\/20)\/((-9)\/48)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 74000496 and 219792.\nAnswer: 11568","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2\/42*((-1745)\/(-16054))\/((-5)\/12)\nAnswer: -2\/161","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -21*7\/63*7\/14*2*-1?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1007908201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**39*q**(-19\/3))\/(((q**(1\/51)*q)\/q)\/((q**40\/q)\/q)) assuming q is positive.\nAnswer: q**(1201\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2 = 1. Suppose -24 = -5*p + v*p. Which is the third biggest value? (a) 0.4 (b) p (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*y - 226795 = -228199 for y.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 801742 is divided by 166.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*h, 3*z - 2*h = 41 - 21. Solve 0 = -z*b + 100 - 170 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**3 + 0*a**3 + 2*a**3)*(-11920*a + 6943*a + 6738*a - 2).\nAnswer: 3522*a**4 - 4*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 5*d**2 + 5*d - 2. Let i be g(6). Let v = 83 - 67. What is the greatest common divisor of v and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155137 a multiple of 513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-6)*(-12)\/8. Let q be 1\/5*(1 + 1). Suppose t = 3*r - 19, 0 = -4*t - 0*r + 4*r - 36. Which is the nearest to 1? (a) t (b) q (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, n: 3, a: 7, t: 2, o: 2}. Give prob of picking 2 q and 1 t.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = -3*a + 346. Suppose 5*x - 21 = a. Solve 5*f - 3*k + 0*k - 2 = 0, -5*k - x = f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 6*p - 5. Let h be g(-7). Let o be h + (4 + -6)\/(-1). What is the tens digit of 22 - (o - 4 - -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3331 from 8105.\nAnswer: 11436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.03, 1, -1, -14\/5 in descending order.\nAnswer: 1, 0.03, -0.2, -1, -14\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -2.3. Let p = -993 - -767.5. Let t = -226 - p. Put u, t, -6 in decreasing order.\nAnswer: u, t, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 332 + -100?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18356.1 + 18356. What is the closest to -12 in a, -0.6, -2\/11?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38 - -54. Let j = 53 + 59. Calculate the highest common divisor of j and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -88?\nAnswer: -5\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - -5)\/((-1 + 3)\/1). Let j be (-2)\/(-5) - 108\/(-5). Calculate the greatest common factor of w and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38975.4 decades in centuries?\nAnswer: 3897.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -4. Let p = -4.94 + i. Let b = 10 + -9.7. What is the third smallest value in b, p, -0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3000 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of l**6\/180 - 7*l**4\/36 + 2*l**3\/3 + 7*l**2\/2 + 2*l. Let f(h) be the first derivative of b(h). Solve f(x) = 0 for x.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 5*j - 1. Let u = 15 - j. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.370142m to centimeters.\nAnswer: 537.0142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 67 - 66. Let h be x - -40 - (4 + -3). Calculate the greatest common divisor of 8 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 285 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 797.1 times -3\nAnswer: -2391.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3*o - 27. Let h be z(9). Let x(u) = -u**3 - u**2 + 2*u + 7. Calculate the lowest common multiple of x(h) and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11358583.32 to the nearest one hundred thousand.\nAnswer: 11400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2473*s + 14841. Calculate u(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 23*b**2 + 2068*b - 193. Calculate j(-90).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f - 4. What are the prime factors of v(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4 = -s. Suppose -2*f - 10 = -s. Let x(y) = y**3 + 3*y**2 - y - 2. Let d be x(f). Is -1\/5 >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -95, 3\/2, 2\/21, 2\/25, 1?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0.4, -5, -6686, 1\/9, 0 in increasing order.\nAnswer: -6686, -5, -0.3, 0, 1\/9, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.565764 - 0.090906. Round u to 2 dps.\nAnswer: -0.66","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5, 9, 21, 41, 69, 105, 149?\n\"Answer: 4*u**2 - 8*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9918, 19834, 29750?\nAnswer: 39666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24966928.7051 plus 14.12?\nAnswer: 24966942.8251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 63 = 8*h. Suppose 0 = -2*l - 3*l + 20. Calculate the remainder when ((-6)\/5)\/(h\/135) is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 423*j**3*o**2 - 2*j**2*o**2*p**3 + j*o**2*p**2 + 3*j*o*p**2 - 2*j*o*p - 66*o**2*p**3 - o*p wrt j?\nAnswer: 2538*j*o**2 - 4*o**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fcczfcfczffazczzzff. Give prob of picking 2 z.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.9 + -0.1. Let p = -10162 - -10165. Which is the closest to 2\/7? (a) -0.17 (b) p (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c**2 - 2*c - 87. Let f(x) = 2*x**2 - x - 44. Let l(b) = 6*d(b) - 11*f(b). Let o be l(10). Round o to the nearest ten.\nAnswer: -450","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*w + 70*w - 90 = 0. What is the highest common factor of 402 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (1 - 7) + (-2 - -8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74, 625, 2534, 6265, 12430?\nAnswer: 21641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 2*d + 2*r + 90, -d + 2*r - 66 = 0. Let t = d - -73. Solve -t*o + p = -13, 5*o - 3*p - 9 - 10 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19789798 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-42)\/4)*-6*(-4)\/16?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/11 + 20747080*u\/11 + 41494152\/11.\nAnswer: 2*(u + 2)*(u + 10373538)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.03 + 0.77. Let o = u + -0.5. Put 1\/3, o, 2\/19 in increasing order.\nAnswer: 2\/19, o, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 0*c + 4*c)*(12 - 1 - 6) + 50*c - 4 + 11 - 7.\nAnswer: 60*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 247175 - 247155. Calculate the remainder when 834\/(-4)*(-4)\/3 is divided by p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-235*l**3 + 229*l**3 + 1428*l**3)*(2 + 4 - 5)*(3 - 5 + 4)*(-1 - 2 + 2)*(-4*l - 3*l + 4*l).\nAnswer: 8532*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -9.87419\nAnswer: -19.74838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + (-3 - -3) + 45 + -1. Let m = r - 0. What is the lowest common multiple of m and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 + d - 1. Let u be l(-2). Let o = 0 - u. Let s(f) = -5*f**2 + 4*f - 2. Let w(r) = r**2 - r. Let a be ((-4)\/6)\/(9\/81). What is a*w(z) + o*s(z)?\nAnswer: -z**2 + 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**3 - x**3 + 0*x**3 + 10*x**2 + 5*x**2.\nAnswer: -x**3 + 15*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/27)*p**(3\/8)\/p)\/(p\/p**(-4)*(p*p**(-1\/2))\/p)*(p*p**(-2\/3))**28\/(p**(-2\/15)*p**(-1\/9)) assuming p is positive.\nAnswer: p**(4889\/1080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54031474 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - (2 - 3))\/(-1). Let d(u) = r*u + 2*u - 4*u. Let i(j) = 5*j - 3. Let a(h) = -9*h + 5. Let k(y) = -3*a(y) - 5*i(y). Calculate k(d(l)).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1170*k + 12 = -1169*k. Suppose -5*p = -4*c - 3*p + 28, 3*c + 5*p - 8 = 0. Calculate the highest common factor of c and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -5*h**3 - h**2 - 8*h. Let l be -21 - (0 - 5) - -3. Let k(w) = -11*w**3 - 3*w**2 - 17*w. Give l*t(q) + 6*k(q).\nAnswer: -q**3 - 5*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*d*f**3 - 4*d*f**2 + 19*d*f - 148*d + 301588*f**3 wrt d?\nAnswer: 6*f**3 - 4*f**2 + 19*f - 148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + 4*b**2 + b + 10. Let h be 10\/(-4)*16\/10. Let y be r(h). Let j(m) = m - 5. What is j(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - l - 16. What is u(0)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-27)\/r**(-7\/5) assuming r is positive.\nAnswer: r**(-128\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -3*d + 93, -3*x + d = 4*d - 57. Suppose 0 = 2*q, -3*o + x = -q - 2*q. Suppose 6*f - 5*f + 2 = n, 2*f - o = -3*n. Solve 6 = -4*j + n for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 2)*(-2*c + 0*c + 0*c + (1 - 1 - 4*c)*(-3 + 0 + 2)).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, e: 1, r: 1, j: 1, c: 2}. Give prob of picking 1 j and 1 e.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -4*u. Let r(q) = -258*q**2 - 15*q. Calculate r(h(o)).\nAnswer: -4128*o**2 + 60*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19960220.\nAnswer: 2, 5, 7, 142573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 s when two letters picked without replacement from {g: 1, s: 1, n: 1, i: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 18461 + -46?\nAnswer: 18414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qaaq when four letters picked without replacement from {q: 2, s: 3, a: 10, k: 5}.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a day in minutes?\nAnswer: 7488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (11 + 1)\/((-6)\/(-16)). Suppose -10*t = -6*t + 2*p - 1732, -5*t - 5*p = -2165. Let i = -145 + t. Calculate the greatest common divisor of b and i.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4301.88 months in centuries?\nAnswer: 3.5849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 176 divided by -32\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 5053484?\nAnswer: -3\/2526742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 115, 229, 345, 463, 583, 705, 829?\n\"Answer: q**2 + 111*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -16442502 rounded to the nearest one hundred thousand?\nAnswer: -16400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u + 8. Let y be o(-7). Find the common denominator of (357\/(-36))\/y + 2 and 115\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 6689 = -3*f - 8389, 5*o = -5*f + 75290. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 26390 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10, -19, -40, -79, -142?\n\"Answer: -j**3 - 2*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 2513918?\nAnswer: 2513918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -150.9999597 + 151. Round p to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34171701?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24.77 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 62031110 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -503935 or -503934?\nAnswer: -503934","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzhh when four letters picked without replacement from {h: 2, z: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111 + 200223322300?\nAnswer: 200223323011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 415996.\nAnswer: 2, 7, 83, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -4*q - 195825, 0*q - q - 4*i - 48930 = 0. Is q\/(-35) - 9\/(-21) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 12 = -q + 8, 0 = 5*q - 5*c - 20 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 5*a = 5, 4*a = 8*s - 7*s + 24 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13331002 (base 5) in base 14?\nAnswer: -379b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -218*b**5 + 16*b**4 - 37*b**2 - 2*b + 4460588.\nAnswer: -4360*b**3 + 192*b**2 - 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1104, -1, 7, -441, -2, 4 in descending order.\nAnswer: 7, 4, -1, -2, -441, -1104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**2 + 4*m**2 + m**2)*(647 - 647 - 12*m - 10*m**3 - 3*m**2).\nAnswer: -20*m**5 - 6*m**4 - 24*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10\/16313 - -75983\/570955. Find the common denominator of u and -20\/49.\nAnswer: 2695","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16418 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: Let b = 50.98 + -72.2296. Round b to the nearest integer.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + -1)*1\/(-7). Let y = 6 + -9. Let x = y - -2. Sort h, 3, x in increasing order.\nAnswer: x, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 271838?\nAnswer: 2, 7, 19417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a**2 + 9*a + 7. Let c(k) = 2*k**2 + 4*k + 3. Let z be 11\/((-231)\/126) - 3. Determine z*c(x) + 4*l(x).\nAnswer: -6*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12917 + -12916.99401. What is w rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7682645057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*d + 0 + 0)*(-34 + 18 + 3)*(-4 + 3 + 3) to z*d + x and give z.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -w + 423, -3*w = -7*w - 4*q + 1644. What are the prime factors of w?\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 - 27 = -11*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 5*c - 7 - 7 = 0, 3*c = 2*m + 8. List the prime factors of m\/((-8)\/4)*-55.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**2 - 306*g + 3623. Determine v(11).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 11*n + 2. Determine l(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -436.41921347 and 2780.\nAnswer: 2343.58078653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of o*r + 546*o - 37960*r**2 - 224 wrt r.\nAnswer: o - 75920*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 582411.1 micrograms?\nAnswer: 0.0000005824111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 - -47. Calculate the remainder when 39 is divided by m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -3\/1280 (c) -1 (d) -1\/2 (e) -1\/4 (f) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 h when two letters picked without replacement from rrrhrfhrrrnnnrhnnfr?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/9 and -33\/2423.\nAnswer: 21807","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/3 + 230*a**2\/3 - 76*a.\nAnswer: -2*a*(a - 114)*(a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 178752?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 11*m**3 + 3*m**2 - 17*m - 11. Let w(h) = h**3 + h**2 - 4 + 3*h**3 - 127*h + 121*h. Suppose 39*o - 41*o = -12. Give o*j(z) - 17*w(z).\nAnswer: -2*z**3 + z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/15*(-6)\/(-10)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 71.28699 litres?\nAnswer: 71286.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4480 and 258720?\nAnswer: 1034880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 12*k. Let s be p(-4). Let c = -27 - s. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1265434 - 1265477.39435. Let t = w + 43.4. Round t to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 228 - 224. Suppose -3*o = -16 - 11. What is the nearest to 1\/4 in 3, s, o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -409 divided by -2.\nAnswer: 409\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3)\/(-7))\/1)\/(2\/7).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*q - 2*q + 4 + 16*q + 8 - 9.\nAnswer: 33*q + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zupzizj. What is prob of picking 1 j and 1 p?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 2*b**2 - 4*b - 3. Let k be (-1 + 5)*14\/8. Let w = k + -10. Calculate c(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0397 + 35.0397. Let j = -82408.9905 - -82374. Let n = v + j. What is n rounded to 3 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9382*d**2 + 37801*d**2 + 0 + 0 - 9468*d**2 - 9481*d**2 - 9478*d**2.\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10321388?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 4. Suppose 15 - g = 4*y. What is the second derivative of s + 2*s**4 - y*s**4 - 5*s wrt s?\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.137056 - 441227497\nAnswer: -441227497.137056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2064 (base 10) to base 2.\nAnswer: 100000010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of -5 - -2 - (-5 + -376)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12972*k - 19 + 13064*k - 25945*k)*(3 - 4 - 1)*(-3*k - 3*k + 5*k).\nAnswer: 182*k**2 - 38*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20 + 16 - 8)*(2 - 2 + m) + (8*m - 2*m - 9*m)*(1 + 2 - 4) as n*m + p and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(-2\/7)\/r*r*r*r\/(r*r*r*r\/(r\/(r**(1\/3)*r)))*(r*(r*r**(1\/8))\/r)\/r*r**(-1)*r**(-45)*(r*r**(-2\/9))\/(((r*r**(-1))\/r)\/r) assuming r is positive.\nAnswer: r**(-22537\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9333888?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 336 and 6608.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z. Let g(u) be the third derivative of 0 + 0*u**4 - 33*u**2 + 0*u + 8\/15*u**5 + 0*u**3. Determine g(x(n)).\nAnswer: 32*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(315)*2)\/((1*sqrt(20))\/sqrt(4) + sqrt(5)) + -1)**2.\nAnswer: -6*sqrt(7) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 371415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1346807 divided by -3\nAnswer: -1346807\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**5 + 8784*u**4 - 19245694*u**3 - 193116240*u**2 - 483340225*u.\nAnswer: -u*(u - 4397)**2*(u + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39 by -4.\nAnswer: -39\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (99\/(-33))\/((-30)\/(-50)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 240*a**3 + 9*a**2 - 73. Let l(b) = 60*b**3 + 2*b**2 - 18. Let h(n) = -4*i(n) + 18*l(n). What is the derivative of h(k) wrt k?\nAnswer: 360*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2025 divided by 81\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -29 + -13 + -9 + 76\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a*k**4 - 147569*a*k**3 + 8*a*k**2 + 163808*a*k + 5*a wrt k?\nAnswer: -24*a*k**2 - 885414*a*k + 16*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 3*g - 2*g)*(-3 + 1 + 3) + 2 + 6 + 179*g - 11.\nAnswer: 181*g - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (171\/(-114))\/((-15)\/(-380))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 5*n = 5, -13580*a - 11 = -13576*a - 3*n for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -4*z + 1. Let h = -8 + 3. Let x be n(h). Suppose -22 + 4 = -4*c - 2*d, -4*c = 5*d - x. Sort -3, c, 2 in ascending order.\nAnswer: -3, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**4 + 6*h**2 - 4*h + 17. Let z(g) = -g**2 + g. Let k(r) = -f(r) - 6*z(r). What is the second derivative of k(a) wrt a?\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d*o*p**3 + 5*d*o*p**2 + 3*d*o*p - 5*d*o - 4555*d*p**6 - 30*d*p**3 + 7*d*p**2 - 11*d + 2*o*p wrt p?\nAnswer: 6*d*o - 546600*d*p**3 - 180*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 111809?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -480*p**3 + 10384*p**2\/3 - 96418*p\/15 + 10082\/15 = 0.\nAnswer: 1\/9, 71\/20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - 53*c - 508. Let m be p(-13). Solve 5 + m = -17*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38052*h + 4*m = 38047*h - 12, 0 = -4*m + 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i**5 - 3125*i**4 + 504665*i**3 - 4966835*i**2 - 34190590*i + 184728040 = 0. What is i?\nAnswer: -7, 4, 14, 307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 11*r**2 - 2 - 6*r**2 to k + q*r + i*r**2 and give i.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + p + 18. Determine t(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 4*z**3 + 1096*z**2 - 24932*z - 780552 = 0.\nAnswer: -293, -18, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/4)\/(-10) + -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 88 + 8 + (-101 - -86).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.4 (b) 5 (c) 0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4245 and 5?\nAnswer: 4245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of p**6\/30 - p**4\/8 + p**3\/2 + 3*p**2. What is the units digit of y(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 117, 18 in decreasing order.\nAnswer: 117, 18, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(4 + sqrt(475)*-2))**2.\nAnswer: -1280*sqrt(19) + 30656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -6, -876 in descending order.\nAnswer: 0, -6, -876","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -i**4\/3 - 24*i**3 - 70*i**2 - 25*i + 3. Suppose y(j) = 0. Calculate j.\nAnswer: -35, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201*h**2 + 107*h**2 + 213*h**2 - 524*h**2.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(6\/7)*i*i**(-2\/3)*i)**(5\/4)*(i**(-5)*i**(-2))\/(i*i*i**(2\/3)*i)**(7\/4) assuming i is positive.\nAnswer: i**(-299\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 152? (a) -4 (b) 6 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1653, 1489, 1163, 651, -71, -1027?\nAnswer: -2241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 58\/15 + 12\/90. Suppose j = -f*g + 155, 0 = 2*j + 5*g - 465 + 167. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 9 = 7*r. Let v(j) = 2*j**3 + 3*j - 1. Let d(x) = -5*x**3 - 5*x + 2. Let n(l) = 3*d(l) + 5*v(l). Calculate n(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46410 is divided by 124.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -5922 + 5922 - 1440*t**4 + (3*t**4 + 0*t**4 - t**4)*(1 - 1 + 1) in the form h*t**4 + z*t**3 + m*t**2 + q*t + x and give h.\nAnswer: -1438","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 217 + -5?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(1008) - (5 + 1 + sqrt(1008)))*6)**2.\nAnswer: 1681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -168576, 0, -14, 5 in increasing order.\nAnswer: -168576, -14, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -27440020 to the nearest one hundred thousand.\nAnswer: -27400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 120 = 42*y. Suppose 0*w - 20 = -5*w. Let s = 5 - w. Solve -y*h = -s - 5 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -14 + -4 + (-1 - 2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 486942?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2664812147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 427*x - 3360 = 420*x. Is x a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/10 + 6\/15. Let n = 38921\/366 - 319\/3. Which is smaller: n or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3127 - 1162 = 552*k - 592 + 1271 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -4 - (-18 - -24)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2094.161 and -1098.0181.\nAnswer: -3192.1791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o. Let f(q) = -q**2 + 9*q - 8. Let g(v) = f(v) - 2*k(v). Let c(j) = 2*j**3 - j**2 - j. Let w be c(2). What is the units digit of g(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 - 2*m + 8*m**2 - 2*m**2)*(0*m**2 - 3564*m**3 + 3303*m**3 + 0*m**2).\nAnswer: -1827*m**5 + 522*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -660, -4867, -15810, -36705, -70768, -121215?\n\"Answer: -536*t**3 - 152*t**2 + t + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 586895233?\nAnswer: 17, 34523249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 18582486?\nAnswer: 204407346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -w**3 + 59 - 3\/2*w**2 + 0*w. Calculate o(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3*z = -z - 46, -y + 3*z + 24 = 0. Suppose y = -7*l + 8*l. Is 22 > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**4\/3 - 146*l**3\/3 + 812*l**2 + 8360*l\/3 + 5776\/3 = 0. Calculate l.\nAnswer: -2, -1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2053 - 2058. Which is the third biggest value? (a) 9 (b) 0.2 (c) -14 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17391 and 10013.\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 5) to base 12\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -3*w + 10. Let g(s) = 10*s + 3*s**2 + w*s - 4*s + 8. Let x(y) = -3 + 30*y**2 + y - 31*y**2 - 2*y - 2*y. What is -3*g(z) - 8*x(z)?\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 105 + 38. Suppose -5*r + 142 = -d. What are the prime factors of r?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 133451?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3857602 - 2?\nAnswer: -3857604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -1087, -4, 5 in increasing order.\nAnswer: -1087, -5, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -23 and -34.43?\nAnswer: 791.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nf when two letters picked without replacement from {f: 1, g: 1, n: 1, b: 1, h: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7383, -76943, -270859, -651309, -1280471, -2220523, -3533643, -5282009?\n\"Answer: -10363*y**3 + 2981*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 102*q**3 + 25*q**2 wrt q?\nAnswer: 612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4700 and 4465?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14165 (base 7) in base 13?\nAnswer: 19b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/39670 and 95\/472.\nAnswer: 9362120","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 + 21. Let h be 168\/63 - x\/(-6). Solve -5*o + 8 - h = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 5*l**2 - 5*l - 4. Let n be z(-4). Let m be 3 + (-3)\/(-9)*n. Is m != 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 0. Suppose 0 = p*h - 10. Suppose a - 12 = -3*d - 4*a, -h*d = 3*a - 20. Solve i = d*j + 10, 2*j = -2*i + 4*j + 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 10*m + 44. Let p be c(21). Let u = -179 + p. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61618 = -45*y - 5458. What is the lowest common multiple of y and 416?\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240030?\nAnswer: 2, 3, 5, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 3:57 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q\/q**(-1))\/q))**(3\/8)\/(q**(2\/3)*q*q**(-8)) assuming q is positive.\nAnswer: q**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 3863124.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + sqrt(40)\/(sqrt(2) - sqrt(32)) - sqrt(20))\/(-4*sqrt(16)).\nAnswer: sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (69\/138)\/((-1)\/6) + 23 + 22 + -56\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**2)**(-1\/17)\/((z*z**2)\/z)**(-1\/5) assuming z is positive.\nAnswer: z**(24\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3*m - 7 = 0, -l - 2*m - 3*m = 4. Let b be l\/7*133\/(-38). Sort b, 1\/3, -11\/2 in decreasing order.\nAnswer: 1\/3, b, -11\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 18545, 37035, 55525, 74015, 92505?\n\"Answer: 18490*d + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*i = -653 + 653 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 9697626 and 2?\nAnswer: 9697624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 174*i**2 - 2433*i - 8. Let a be g(14). Solve -a*z - 9 = -31*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 11:51 PM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 140159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*f + 17 = 26 + 87 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, j: 3, c: 2, p: 1, x: 5, b: 6}. Give prob of sequence wwb.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -179. Let y(o) = o + 1. What is -2*f(m) - 358*y(m)?\nAnswer: -358*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 72, -3, 882.\nAnswer: -3, 3, 72, 882","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - (sqrt(7) + 0 + sqrt(7)))*-2 + sqrt(49)\/(sqrt(14)\/sqrt(2) + sqrt(7)))**2.\nAnswer: 175\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 12 = 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - (8 + -22) - 2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -13*m**4 - 9*m**3 + 9*m - 15. Let k(u) = -6*u**4 - 4*u**3 + 4*u - 8. Let d(f) = 4*j(f) - 9*k(f). Differentiate d(q) with respect to q.\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 - q + 785. Is h(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/3 - -4 - 10. Let c(p) = p**2 + 4*p + 12. Is 15 a factor of c(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4688084 + -1167309.\nAnswer: 3520775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10 - 4277?\nAnswer: -4267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 4 - 136*f + 1 to t*f + h and give t.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 9) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -k**4\/4 + 18. Calculate the remainder when 190 is divided by b(-4).\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 5*d. Let m(v) = 88745*v. What is m(g(h))?\nAnswer: 443725*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/(-10)*60\/(-9). Let d(f) = -f**3 + 7*f**2 + 8*f + 3. Let m be d(b). Solve n - a = 1, -3 = -0*n - m*n - 2*a for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 3*l + 12 + 0 = 0, -l = 2*q - 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 152 (base 15) to base 13.\nAnswer: 1a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21847 - 21845. Solve n*s - 8 = 4 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -284 = -4*v + 12. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 5:59 PM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 3:53 AM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h**2 + 99*h - 287 + 7*h**2 - 46*h**3 - 54*h - 47*h.\nAnswer: -46*h**3 - 2*h - 287","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/4 + 7)*(-115)\/(-15). Let i = 213 - f. Is i even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10894 divided by 5447?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r = 5*r + 6. Suppose 0 = 2*l - 7*l. Which is the nearest to l? (a) -1\/2 (b) 2\/3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -41 - 1313442413?\nAnswer: -1313443004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -15*l - 30. Let m be d(-7). Suppose -71*a - 668 = -m*a. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 125.4 + -125.5. Which is the fourth biggest value? (a) -0.064 (b) w (c) 0 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27805482?\nAnswer: 2, 3, 23, 47, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/24 in -5, 2, 3331?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*k**2 + 182156*k + 11857040 = 0. Calculate k.\nAnswer: -65, 45604","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 455 a factor of 237190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7982 + 4672. Let r be 7\/7 + 3322\/v. Let q = 230153\/29790 + r. Calculate the common denominator of -99\/26 and q.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + f + 1. Let t(m) = 3*m**2 + 3*m - 1. Let s(g) = 2*p(g) + t(g). Let l be s(-4). What is the units digit of 1*l*(-3 - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*m - 3 = 1, -m = 5*l - 6. Let u be l*1*(1 - -1). Suppose u*w + w - x - 68 = 0, 0 = -4*x - 12. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 + 85 = 39*w. Solve -g + w = 1, 2*l - 5*g = -19 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15481 - -15480. What is the second biggest value in d, -4, -1\/2, 4.1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 41 + 30. Let i = k + -74. Let q = -16 + 16. Sort i, 25, q, 2 in decreasing order.\nAnswer: 25, 2, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x**5\/5 + 52*x**4\/5 - 7778*x**3\/5 + 23012*x**2\/5 - 22903*x\/5 + 7616\/5 = 0. Calculate x.\nAnswer: -119, 1, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of -1774*g**3\/3 - 3*g**2\/2 + 11*g + 1441. What is the second derivative of b(r) wrt r?\nAnswer: -3548","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 180889.8 centuries to decades.\nAnswer: 1808898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2002602, 4005529, 6008456, 8011383, 10014310?\n\"Answer: 2002927*d - 325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u - 1. Let r be v(4). Let q(h) = -2164159*h - 3 - 48398*h - 10 - 2644584*h. Let n be q(r). Round n to the nearest 1000000.\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -130 - -131. Which is the smallest value? (a) y (b) 3\/4 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1188, -5071, -11584, -20733, -32524?\n\"Answer: -z**3 - 1309*z**2 + 51*z + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -114*f**3 - 5*f**2 + 17*f - 21. What is l(2)?\nAnswer: -919","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 2 + 39*1. Let x = -11 + l. Let q be 1\/(3\/x*2). Let n(c) = -c + 6. Determine n(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*w + 20*w - 5 = -7*h, 2*w = -4*h + 14. Which is smaller: h or 2541?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of 0*a**6 + 75*a + 0*a**4 + 0 + 0*a**2 + 0*a**5 - 51\/14*a**7 + 43\/3*a**3. What is the second derivative of h(q) wrt q?\nAnswer: -3060*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 5*x**2 + 5*x - 4. Let l(v) = -v - 6. Suppose 5*n + h + 22 + 24 = 0, -2*h + 43 = -5*n. Let c be l(n). Give g(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63012001, -252047965, -567107899, -1008191797, -1575299653?\nAnswer: -2268431461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 11*m = 8*m - 13485, 4*m + 20 = 0. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 5*u + 6. Suppose u*v + 0*b - 24 = -5*b, -3*b + 14 = v. Is 20 a factor of ((-2)\/(-4))\/(v\/(-2160)*-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 688425 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/470498 and 19\/470498.\nAnswer: 470498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n. Let d(l) = -l**3 - 15*l**2 + 15*l - 19. Let x be d(-16). Let g = x + 7. Determine z(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-7) + (-16)\/(-7). Let b = 13.15 + -5.15. Put b, v, -1\/10 in decreasing order.\nAnswer: b, v, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-4)*w*w*w\/(w*w**(2\/19)))**(40\/3) assuming w is positive.\nAnswer: w**(-280\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76008.\nAnswer: 2, 3, 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11139 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 737, 701, 665, 629, 593, 557?\n\"Answer: -36*s + 773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 9 = -5*q, -2*a = -4*q + 12 + 4. What is the remainder when a\/(-3) + 380\/15 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 250 - 83. Suppose -b = -2*n - 47. Suppose -4*c = -c - n. Is c a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**1)**(1\/57))**(-1\/3)*(x**1)**(-1\/10)\/(x**(1\/4))**46 assuming x is positive.\nAnswer: x**(-58\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.03 + -0.03. Let h = t - -30. Let w = h - 30. Which is the closest to w? (a) -1 (b) 5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 12:17 AM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, y: 1, t: 1, s: 2, u: 4}. What is prob of sequence ffu?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -62*x + 357. Determine v(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2685259 to the nearest 1000.\nAnswer: 2685000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1286*g - 1104*g - 14437 - 4683 = 0 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 21.6+14\nAnswer: 35.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, k: 1, j: 7}. What is prob of picking 1 k and 1 j?\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -9209703 divided by 3069901\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4538141 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - -2. Let y = c - 4.4. Sort -3\/2, y, 0.2 in increasing order.\nAnswer: -3\/2, y, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13\/5, 2\/17, -0.2, 0.1 in increasing order.\nAnswer: -13\/5, -0.2, 0.1, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(11) - sqrt(11)*5*-4))**2.\nAnswer: 42*sqrt(11) + 4852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 16.7 from -0.03671.\nAnswer: -16.73671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05122*0.4.\nAnswer: 0.020488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/6 (b) 262 (c) 1.7 (d) 33 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20897331*g**4 + 19873663.\nAnswer: -83589324*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iyyy when four letters picked without replacement from ixxxaiiyyvaiyyayixax.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.5619 - -0.4381. Put 2\/13, 0.3, b, -0.1 in decreasing order.\nAnswer: b, 0.3, 2\/13, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15856 - -12585. Is k <= -3273?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, v: 9}. What is prob of sequence pvpp?\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-7 + -1 + 8) - -8.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 9 = 4*s, s = -4*s + 4*l - 14 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/7 + 16*a**2\/7 + 86*a\/7 - 220\/7.\nAnswer: -2*(a - 11)*(a - 2)*(a + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2084 and 16077018.\nAnswer: 1042","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 268, 537, 806, 1075, 1344, 1613?\nAnswer: 1882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -469 = -4*p + 2*n - 397, -96*p + 3*n + 468 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f**2 + 4*f. Let u(k) = 16*k**2 - 56*k**2 - 16*k**2 + 77*k. Let a(d) = -77*t(d) + 4*u(d). Let c(w) = 2*w. Calculate c(a(n)).\nAnswer: 14*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 0.0660894\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -624, -1251, -1882, -2517, -3156, -3799, -4446?\nAnswer: -5097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n - n + 5*n + 0*n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3\/7 (b) 0.1 (c) -0.4 (d) -1\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-150)\/(2\/(-1)) - 2. Let z = -63 + r. Calculate the greatest common factor of 15 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k - 5*k = 5*d - 20, d - k = -4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 233937409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*n + 19. Suppose -n*t + 86 = -69. Calculate the remainder when 91 is divided by t.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -97*7.\nAnswer: -679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -433 - 1626 - 1473 = -169*x + 1031 for x.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4*w - 7 = -19, -3*w = -3*c. Suppose -5*o = -2*x - 20, 5*o - c = 4*o. Suppose x = -2*p + p + 79. Is 21 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7892 is divided by 1314.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -37186, -37203, -37230, -37267, -37314, -37371, -37438?\n\"Answer: -5*l**2 - 2*l - 37179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -171*q - 2. Let g(t) = 922*t - 2. What is g(w(f))?\nAnswer: -157662*f - 1846","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - y + 2*y + (4*y - 2*y + 0*y)*(-6 + 4 + 3))*(425*y + 421*y - 839*y + 18 - 74).\nAnswer: 28*y**2 - 224*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2507\/588 - 2\/147. Is t less than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11556 - -11560.1137. Let p = -7.9 + 12. Let w = s - p. Round w to three decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(200) + 4 + sqrt(200))**2 - sqrt(24)\/(sqrt(132)\/(sqrt(11)*4)).\nAnswer: 276*sqrt(2) + 849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z - 2. Let o be k(-1). Let q be 0 + o\/((-2)\/(-8)). Put 5, q, 0 in descending order.\nAnswer: 5, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3 + 2*x**3 + (-2*x + 2*x + x)*(-2*x**2 + x**2 + 2*x**2) + 9 + 18*x**3 - 8*x**3 + x**3 as h + i*x**3 + a*x + k*x**2 and give h.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 2 - 4 + p**3)*(-9*p + 13*p + 14*p) in the form l*p**2 + w*p**4 + u + x*p + j*p**3 and give w.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 4*m = 7, 736 = 2*l - 4*m + 718 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.1 - -29.9. Let g = 34 - l. Which is the nearest to -0.14? (a) g (b) 0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -w - 259, 0 = -4*h - 4*w + 148 + 176. Solve h*f + 4 = 86*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0\/3 - 1) + 7. Let w be k + (-3 - (0 - 1)). Sort -4\/7, 0.2, w in increasing order.\nAnswer: -4\/7, 0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5180, 20826, 46896, 83390, 130308, 187650, 255416?\nAnswer: 333606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a kilogram in grams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (7 - 18) + (0 - 0)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 15*s. Let b(a) be the first derivative of -a**4\/12 - 34*a + 31. Let f(v) be the first derivative of b(v). Determine d(f(w)).\nAnswer: -15*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, n: 4}. Give prob of sequence nn.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 10 = -4*z. Let b = z - -1. Let a(p) = p**3 - 2*p**2 - p. Determine a(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hyyhyyyiehii. What is prob of picking 1 h and 1 i?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + z + 17 = 0, -z - 7 = x + z. Let y(i) be the first derivative of -i**4\/4 - 3*i**3 - 11*i**2\/2 - 6*i - 832. What is the tens digit of y(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 885.17 times 0.7?\nAnswer: 619.619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1990 is divided by 157.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 2*u**4\/3 + 88*u**3\/3 + 186*u**2 - 216*u = 0.\nAnswer: -36, -9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -75 - 23?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1022012 + 0?\nAnswer: 1022012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.083467l in millilitres?\nAnswer: 8083.467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 0*f - 4*c = -30, 0 = -5*f - 5*c + 80. What is the least common multiple of f and 3?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**3 + 1674*m**2 + 311364*m + 19304568 = 0.\nAnswer: -186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2. Let l(z) = -299*z**2. Give m(l(j)).\nAnswer: -89401*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 8130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*a + 310 - 94 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -281 + 335. Let w = -42 + c. Calculate the least common multiple of w and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/24)\/(24\/(-672))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3*x - 1244609 = 1906888, -2*x + 5252502 = 5*k. Round k to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fftgtftggftfttffggg. What is prob of picking 2 g?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111 (base 2) to base 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/5 (b) -188 (c) 0.3 (d) -3 (e) 295 (f) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*39552.4\nAnswer: -7910.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53997642?\nAnswer: 2, 3, 47, 83, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 18 = 2*d, 0 = -157*s + 153*s - d + 9 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 8*m**2 - 2*m. Let x(t) = -7*t - 1. Let b be x(-1). Suppose 4*w - w = b. What is the tens digit of i(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2744 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -3*k**2 + 8*k + 4. Suppose 24 = 2*m - 6*m. Suppose 0 = 8*g + 4*g - 60. Let h(j) = -4*j**2 + 9*j + 5. What is g*h(z) + m*d(z)?\nAnswer: -2*z**2 - 3*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -62620, 13\/3, -3\/4, 0 in ascending order.\nAnswer: -62620, -3\/4, 0, 13\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11195 and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 - -40. Let r be (-2)\/t - (-14)\/91. Suppose h - 5 + 1 = r. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*x**2 + 0*x**2 + 0*x**2)*(7*x**2 + 67 - 151 + 82 - 7*x) to the form s*x**4 + g*x + i + w*x**3 + a*x**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5*q = 27. Let s be 3\/q + 32\/6. Suppose 4*y = 3*y + 3*r + 17, -s = -5*y - 5*r. Solve -w + 0*w = -d + 5, d = -y*w - 19 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6679?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55)\/(1*sqrt(5)) + (3 + (sqrt(55)\/sqrt(5) - sqrt(11)) - sqrt(11)))**2 - (-5*(sqrt(11) - -1*sqrt(11)) - (sqrt(11) + -1)*-6)**2)*2.\nAnswer: -406 - 96*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w - 5*w - w)*(25 - 118 - 52 + 11 - 81).\nAnswer: 430*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1187*g**3 - 3*g**2*x**3 - 19*g*x**2 - 146107*x**3 with respect to g.\nAnswer: 3561*g**2 - 6*g*x**3 - 19*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1730093, -3 in decreasing order.\nAnswer: 1730093, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -5507*w**5\/20 - 100*w**3 + w**2\/2 - 3037*w + 1. What is the second derivative of o(h) wrt h?\nAnswer: -33042*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**2\/7 - 10*t + 68\/7 = 0. What is t?\nAnswer: 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (4 - 2) - (20 + -27). Solve 0*l**2 + 0*l + 0 + 8\/7*l**r - 2\/7*l**3 - 6\/7*l**4 = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3080.24 + -0.3\nAnswer: 3079.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -4*q + c + 18, -2*q - 15 = -5*c for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -324\/1810057 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.9 in -7, -4, 16?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 8:08 PM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 149180\/261 greater than 573?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 331 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 + (14 - 0) - -11.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171 = 48*q + 69. Let c(s) = -s**2 - 4*s - 7. Calculate c(q).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-515)\/(-10) - 2 - (-9)\/(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.196241 millennia in centuries?\nAnswer: 31.96241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1733034, -1733048, -1733080, -1733136, -1733222, -1733344?\nAnswer: -1733508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -8.96. Which is the biggest value? (a) -4 (b) -1\/9 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11955432 by 3.\nAnswer: 3985144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 divided by 3?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -25*j - j + 8*j - 84 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 97 = 57. Suppose u*z + 4*g - 1630 = 0, 11 - 6 = -g. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**2 + 8*x + 4. What is p(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - 2*z + 4*z)*(4 - 3 - 3)*(-45*z + 11*z + 20*z) + 0*z**2 + 5*z**2 - 4*z**2.\nAnswer: 57*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**2 + 5*t + 6. Let r = -209 + 195. Let g be ((-48)\/28)\/(3\/r). Let c(b) = 6*b**2 - 14*b - 17. Calculate g*k(z) + 3*c(z).\nAnswer: 2*z**2 - 2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -7*h**3\/6 - 35*h**2 - 2*h - 1. What is the remainder when 139 is divided by r(-14)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + b. Suppose 3*p + 0*p - 1 = t, -5*t + p + 9 = b. Find the common denominator of t and -23\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4\/3, 87\/178, 0.12, -5\/2, 5?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 - 11*a**3 + 16 - a - 2*a**4 - 33 to y*a**4 + b*a + q*a**2 + j + p*a**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000557 to 6 decimal places.\nAnswer: -0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 6*x**2 + 4*x + 40. Let l be w(-6). Put -1, -3, l in descending order.\nAnswer: l, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -i**4\/2 + 139*i**3\/2 + 105*i**2 - 179*i + 1. Suppose g(m) = 0. Calculate m.\nAnswer: -1\/2, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1441\/2 + 720. Let f = -4 - -3.89. Let d = f - -5.11. What is the smallest value in z, -3\/2, d?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*x = -177*x - 2*q - 6, -2*x - 4*q - 42 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 4*r = -8, t + 0*r - 3*r = 2. Sort -1, t, -1\/2 in decreasing order.\nAnswer: -1\/2, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c*c\/(c*c**(-4\/3))*c)*c*c*c\/c**(-4)*c*(c\/c**6)\/(((c*c\/(c**(-4\/3)*c*c*c*c))\/c*c*c*c*c)\/c) assuming c is positive.\nAnswer: c**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(88) + sqrt(88)*2)*2 - sqrt(88)) + -2*sqrt(88)*-4 + sqrt(88))*1)\/(-2*sqrt(128)*3 - (sqrt(128) + (sqrt(128)*2*3 - sqrt(128)))).\nAnswer: -7*sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 350 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - 3*z**2 - 3*z + 4. Let i be c(3). Let k = i - -7. Let r = -343 + 347. Put r, -9, k in decreasing order.\nAnswer: r, k, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -157226*z**5 + 648*z**4 - 3*z**2 - 8316702*z wrt z.\nAnswer: -9433560*z**2 + 15552*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39136.\nAnswer: 2, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/3))**27\/(g**4*g\/g**(1\/3)) assuming g is positive.\nAnswer: g**(-68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50 - -624212.18898.\nAnswer: 624162.18898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 52615\/7026 - -40\/3513. What is o in 27\/4*o + s*o**2 - 3\/4*o**4 - 27\/4 - 15\/2*o**3 + 3\/4*o**5 = 0?\nAnswer: -3, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q + 7. Let d be p(-7). Suppose -13 = -3*w - d*w + 5*f, 0 = 3*f + 6. Let h = 3 + -8. What is the second biggest value in h, w, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.05 (b) 2 (c) 0.1 (d) 9 (e) 3 (f) -1\/3 (g) 1.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3586\/(-2934)*15\/(-220)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 + 0.2. Which is the closest to 0.2? (a) -4 (b) 0.2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1 + ((sqrt(125) + 1*sqrt(125) + sqrt(125))*-5 + (sqrt(125) - (sqrt(125) + 2 + 1)) + sqrt(125) + 5)**2 + -4.\nAnswer: -280*sqrt(5) + 24499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 166 (b) 1 (c) -2 (d) -1\/4 (e) 2\/11 (f) -5795\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -3*d**4\/5 + 242634*d**3\/5 + 727941*d**2\/5 - 970536*d\/5 - 2911716\/5 = 0.\nAnswer: -3, -2, 2, 80881","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7888 (b) 6 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of 0*a**6 - 5\/48*a**4 - 1\/42*a**7 + 1\/12*a**5 + 0*a + 5\/672*a**8 + 0*a**3 + 6*a**2 + 0. Determine o, given that n(o) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -14*c**3 + 2*c**2 - 2*c - 3. Is v(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -4*x + 7*z - 2*z, 3*x + 2*z = 128. Suppose -3*u + 5 = -x. Solve u = -5*k - 0*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39 + 39. Let z = 22 - 26. Let f(o) = -2*o + 8. Let d be f(z). Put i, -2, d in ascending order.\nAnswer: -2, i, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -53 + -2 + 39 - (-3 + 2).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.02551976 - 0.51552059. Let b = 74.51 + -75. Let k = b - q. Round k to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1035225\/14231 - 72) + -1 + 4\/7?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/667 and 20\/667.\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4*h - 14 = 0, 2*s - 3*h + 9 = -s. Suppose s = 3*c - c. Solve -3*t - 12 = 5*q, -t = 5*q + 5 - c for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -7*r + 307. Let c(n) = 48*n - 96*n + r*n. Let u(j) = -2*j**2 - 3*j**2 + 0*j**2. What is c(u(w))?\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51\/85*((-32)\/(-6))\/4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50 and 1475?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 6*n**2 - 20*n - 17. Let u be x(-8). Suppose k - f = -0*k + 6, 0 = -4*k - 5*f + u. Solve -k*z = 7 + 3 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4.44 and 77233727.6664.\nAnswer: 77233723.2264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 at least as big as -848.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-43)\/3*1*-3. Round d to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1217973.\nAnswer: 3, 405991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -5*t**3 + t + 12. Let y(n) = n**3 - 1. Calculate -g(d) - 4*y(d).\nAnswer: d**3 - d - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 9:40 AM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1543 (base 9) in base 13?\nAnswer: 6c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 - -0.06. Let m = -0.54 - p. Let n = -157.4 + 156.4. Which is the nearest to n? (a) -4 (b) 2\/7 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 5*f**2. Let b(p) = 7605086*p - 2. Determine b(j(n)).\nAnswer: 38025430*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 b when four letters picked without replacement from bedddddddbbe?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 3*i = 4*a, 3*a + 10 = 2*i. Let o(u) = 2*u**2 - 2*u**3 - 2*u + u - 8 + 0*u. Is o(a) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wf when two letters picked without replacement from wfffwffwwwffwffffff.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 9*j**2. Let i(s) = -s**2 - 8. Let q(y) = -1. Let x(t) = -i(t) + 5*q(t). Let u = 30 - 32. Let l(v) = 1. Let g(a) = u*x(a) + 6*l(a). Determine g(p(m)).\nAnswer: -162*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1937587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1458*b + 1443*b = 3363*b + 25872 for b.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 99*s - 111*s)*(s - 5*s - 5*s) to the form u*s + t*s**2 + m and give u.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4375250, 4375248, 4375246?\n\"Answer: -2*y + 4375252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v - 2*v - 1 + 4*v + (-v + 3*v - 3*v)*(-32 + 47 + 47).\nAnswer: -61*v - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**3 + 143*v**2 + 6*v. Let w(f) = -2*f**3 + 143*f**2 + 5*f. What is 6*u(b) - 7*w(b)?\nAnswer: 2*b**3 - 143*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21488141\/1560 - -179061\/13. Let f = -1\/65 + n. What is the common denominator of f and 45\/22?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(-3\/14)*a*a))\/(a\/(a**13*a)))**(-14\/3)*(a*a**(-1\/2)\/a*a)**28*(a\/((a**(-2)\/a)\/a))**(2\/5) assuming a is positive.\nAnswer: a**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhxa when four letters picked without replacement from {s: 1, h: 7, t: 1, a: 3, x: 2}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of x**4\/8 + 31*x**3\/2 + 19*x**2 - 1. Let v be o(-31). Which is the smallest value? (a) 3 (b) -0.2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 + 0.3. Let w be (0 + 2\/4)*0. Let q be 7 - 2 - (2 + w). Which is the second biggest value? (a) y (b) -4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20626 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 57369258 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.4 + -0.2. Let h be (33125\/1950)\/53 + ((-56)\/26 - -2). Let a(m) = -m - 8. Let b be a(-8). What is the biggest value in h, 0.3, b, k?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.338 + 0.138. Let x = p + 8.2. Which is the second biggest value? (a) 2\/3 (b) -3\/5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3.2 or 1\/1714?\nAnswer: 1\/1714","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8522 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8431239?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of -2939*r**6\/120 + 62*r**4\/3 - 177*r**2 + r. Find the second derivative of x(s) wrt s.\nAnswer: -17634*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - 3*m + 3. Suppose -5*u - 15 = 5. Let f be i(u). Is f bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -58735 greater than or equal to -55724?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xvbxjxvxvjgxvgx. Give prob of sequence vg.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -5*d - 1. Let x(r) = -39*r + 243. What is the remainder when x(5) is divided by q(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -258 - 0.2.\nAnswer: -258.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -g**2\/12 - 171*g + 117183\/4 = 0.\nAnswer: -2211, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 13) to base 14\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76 - 76 + 0*b**2 - 5*b**2 + 2*b**2.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10021121 (base 3) in base 15?\nAnswer: -a97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 0*f + 0*f)*(-1461 - 89*f - 667*f + 1463).\nAnswer: 756*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 14270000 rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 p when four letters picked without replacement from njpjpnjnpnjpnnnj.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2208 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 80731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(1\/5))**(30\/11)*(x\/(x*x**(-9))*x*x*x*x)\/x**(2\/17))**(-25) assuming x is positive.\nAnswer: x**(-75525\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7868 + -487805\/62. Is 0 less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 97*w. Let a be y(1). Let l = -38 + a. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*d**5 - 108*d**4 - 125292*d**3 - 2789012*d**2 + 1210872*d + 1703520 = 0 for d.\nAnswer: -60, -26, -3\/5, 1, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 + 14\/(-3))*3 + 4. Let m(d) = -d**2 - 12*d - 5. Let r be m(-5). Suppose 2*z = -z + 12. Solve w + b*k = -3*w - r, -w = -z*k - 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17610 divided by -45001?\nAnswer: -17610\/45001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -273399\/27610 + 6\/2761. Find the common denominator of d and (-30)\/(-36)*102\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34829062 is divided by 569?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3396091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a + 19. Suppose -2*i - 2*i = -108. Let r = i - 27. Is 6 a factor of s(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -1 - (-17 + -20 - (6 + -7 + -9))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a, 1 t, and 1 x when four letters picked without replacement from xxwtacaawwgttaxwx?\nAnswer: 18\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/133 and -20\/89.\nAnswer: 11837","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 60 - -89. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1941*p**4 - 4*p**2 + 4436*p.\nAnswer: 23292*p**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-6955218.\nAnswer: -695521.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-78 - -15 - -98) + (-2166)\/62.\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -c + 35. Let q(f) = -48*f - 753. What is the remainder when c is divided by q(-16)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000480958 to 6 decimal places.\nAnswer: -0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1161517, 1161515, 1161513, 1161511?\n\"Answer: -2*w + 1161519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 441 is divided by 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -296 - -541. Does 4 divide q\/6 - (-35)\/(-42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w**3 + 4*w**2 + 4. Let c = 6 - 6. Suppose 0 = -b - c*b - 5. Let l(n) = 4*n**3 + 5*n**2 + 5. Give b*u(h) + 4*l(h).\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + 16*v - 32. Determine c(-18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 32456676 divided by 1106\nAnswer: 29346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 711*b - 7106. Let f be k(10). Factor 3\/5*v**3 + 3\/5*v**f - 3*v - 9\/5*v**2 - 6\/5.\nAnswer: 3*(v - 2)*(v + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -127 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 15*p = 14*p. Let i(q) be the first derivative of q**3 - 5 + p*q + 1\/2*q**2. Give i(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r - 9. Let v = 0 - -4. Let f(s) = 13*s - 5. Calculate the remainder when f(v) is divided by z(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 118, 258, 442, 682, 990, 1378, 1858?\nAnswer: 2442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Expand v**2 - v**2 + 2*v**2 + ((-v + 4*v - v)*(-2 - 1 + 4) - v + 2*v + v - 1 + 1 - v)*(-v - v + 3*v).\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g - 3*g - 312 = 0. Let o = g + -6. Solve o = 6*w - 2*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18258 divided by 24679?\nAnswer: -18258\/24679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 25*i**2 - 136*i - 161. Calculate n(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 273 divide 50912354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(468) - sqrt(13)) + -4.\nAnswer: -25*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -166 (base 7) to base 11.\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u - 70. Let t be z(-24). Is t*(-2 - (-4)\/(-16)*-31822) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -450 + 450 + -79 + 5?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3*j - 18. Let k be r(-7). Suppose -k = -z, z + z + 26 = 4*f. Is 10 at most as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 5*q**2 + 7*q - 3. Let s be j(6). Suppose -s*a + 11 = -5*z, 0*a - 38 = -4*a + 2*z. What is the highest common divisor of a and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-750)\/(-70) + -11)*28\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k**3 - k**4 - 16*k + 12*k**4 - 13*k**4 to the form s*k + g*k**2 + z*k**4 + m*k**3 + y and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -15 times -9.47\nAnswer: 142.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49) - (sqrt(49) + (sqrt(343) - 2*sqrt(343))\/sqrt(7)))\/(2*sqrt(7)*6) - (-6*(-2*sqrt(1008) + sqrt(1008)) - sqrt(1008) - -5*(1 + sqrt(1008)))**2.\nAnswer: -100825 - 14399*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*l**4 + 55*l**3 + 305*l**2 - 40*l - 60 = 0. What is l?\nAnswer: -2, -2\/5, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*(-2)\/6 - 0. Suppose 3*v = -w*v. Suppose -5*a = -15, v = -2*k + 5*a + 9 + 10. What are the prime factors of k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -270*n**3 + 137*n**3 + 136*n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 3*g - g + 3, -3*g + 5 = 5*q for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrr. Give prob of sequence rrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 6*y - 2*h - 194, -y + 2*h + 34 = 0. Calculate the remainder when y is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hna when three letters picked without replacement from hafhaan?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-33*j - 37*j - 12*j)*(7 - 7 - 2*j - 2)*(4*j - 6*j + 3*j) as t + h*j**3 + q*j**2 + s*j and give h.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13211 and 253.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at most -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 200120100?\nAnswer: -200120022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of m**4\/4 - 5*m**3\/2 + m**2. Let i(x) be the first derivative of x**2\/2 - 3*x - 11013. Determine 11*i(a) - 2*u(a).\nAnswer: -a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/21? (a) 2 (b) -2 (c) -1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -134 + 8. Let i = 79 + c. Let d = i + 44.68. What is d rounded to zero dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277965 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 13*m**2 - 4*m - 4. What is o(-2)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*t - 5*p, -7*t = -5*t + 3*p - 3. Suppose -g + t*g = g. Solve 18 = j - 4*j - 3*h, g = 3*h + 12 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -103 - -142. What is the first derivative of 64 + 23 - u*n**4 + 7 - 37 wrt n?\nAnswer: -156*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17640 - 97*t + 17640 as x + r*t and give r.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48034 and 517.\nAnswer: 528374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/5, -18\/11, -1\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 326204 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3 (b) 4879 (c) 3 (d) -31 (e) -1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -216.9 - -217. Put 0.9, -4, j in ascending order.\nAnswer: -4, j, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*z + 103*z - 68079780 - 64780220 = 0. What is z rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -141664 smaller than 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a + 26 = 4. Let 33*d**2 - 25*d**a - 32*d + 60 - 4*d**2 = 0. What is d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -24*a + 26. Let h(y) = -12*y + 13. Let k(t) = 7*h(t) - 4*i(t). Let n(v) = 3*v - 3. Let d(o) = -6*k(o) + 26*n(o). Let b(r) = 3*r**2. Give d(b(l)).\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 13.\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -302 and -0.51.\nAnswer: -302.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -11235*((-64)\/(-6) - 12) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*x = -10, -25*f = -29*f - x - 20. What is the second biggest value in f, -71, -0.1, 0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z + 3669 = -1435. What is the greatest common factor of 16 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17944 is divided by 1121?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23*f**3 - 2*f**2 - f - 163 wrt f?\nAnswer: -138*f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 216\/11 at least as big as -602.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, -2, -9, -8, -4, -25 in ascending order.\nAnswer: -25, -9, -8, -4, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 5, -1\/4, 41?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 247903025 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9558, -38233, -86026, -152937, -238966?\nAnswer: -344113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2018 + -1401. Does 13 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5240, 10476, 15712, 20948, 26184, 31420?\nAnswer: 36656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (90\/24)\/(-18 + (-357)\/(-20)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -213 - -221 - (0 - (1 - 19))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52, 422, 1414, 3340, 6512, 11242, 17842?\nAnswer: 26624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000693 rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29248*g**3 - 237*g**2 + 283*g - 15408 wrt g?\nAnswer: 175488*g - 474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2 (b) 0.6 (c) 19\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 12 = -m + 1, m + 2 = -g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from cppcanxcpcc?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**3 - 24678216*h**2 - 49356441*h - 24678222 = 0 for h.\nAnswer: -1, 8226074","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*x**3 + 37*x**3 - 4*x**3 + 62*x**3.\nAnswer: 164*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*g + 2 + 37*g - 2 - 86*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10972671 is divided by 192?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 58 - 56. Suppose -y*f = -4*o - 66, -f = -5*f - 2*o + 182. Suppose -295 + f = -3*l. Is 14 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.95226 to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -3243.952 to the nearest integer.\nAnswer: -3244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -750, -1497, -2242, -2985, -3726?\n\"Answer: v**2 - 750*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-88)\/(-1771))\/(129\/((-7224)\/(-16))).\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -113*t + 5863. Determine v(52).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7056)\/(-1323)*(-12)\/(-8) + (0 - 19).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 5*i**2 + 4*i - 26. Let b be p(8). What is the common denominator of (-303)\/b - (-6)\/33 and (-14)\/(-36) - (2 - 1)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 10:04 AM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven quarters of a week?\nAnswer: 294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1228670021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + 6*r + 7. Let f be v(-4). Let s be 2\/(-4)*f*10. Solve s*i - 4 = i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3084000 rounded to the nearest one hundred thousand?\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 448025398 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.957 and 591.\nAnswer: 589.043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1109*k - 13944 + 13944 to the form g + p*k and give p.\nAnswer: 1109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10.82 - 8.82. Which is the fourth biggest value? (a) 0.4 (b) -2 (c) 0.1 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-203)\/(-4)*(-27 + 23). Let j = h - -604\/3. Which is the third smallest value? (a) j (b) 0.1 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 12 = 2*g, -3*g = -5*i + 6 - 19. Let v(l) be the first derivative of l**3\/3 - l + 1. Let z be v(g). Solve z = -2*h - 0*h + 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -3, 0.088, -10, 0.9, -2\/13 in ascending order.\nAnswer: -10, -8, -3, -2\/13, 0.088, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + z**2 + 3*z - 3. Let j be (2 + 0)*(-6)\/4. Is 12 a factor of u(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 3*b**2 - 5*b - 4. Let w be v(-3). Is (w\/2)\/((-1)\/(-14)) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70299?\nAnswer: 3, 73, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2610676924.\nAnswer: 2, 652669231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (1446*o - 234*o + 205*o)*(-12*o**2 + o**2 + 3 + 1 - 4) as m*o**3 + q + r*o + a*o**2 and give m.\nAnswer: -15587","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 289 - 143. Suppose -166 = -5*z - k. What is the lowest common multiple of z and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -1. Let c = p - 2.5. Let t = 0.6 + -0.2. Sort t, c, 1.\nAnswer: c, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 1048387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3177*-441\nAnswer: 1401057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 24*x - 540. Calculate p(22).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28463 - 1580 = -1120*h - 2043 for h.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38 - 3 + 0)*(5*d - 5*d + 6*d).\nAnswer: 210*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -10. Suppose 0 = 5*c - x - 767, -4*c + x = -h*c - 308. Suppose 3*u - 5*i - 153 = 0, 3*u + 4*i = -0*i + c. Does 21 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(1\/2)*k*k*k\/(k*k**1)*k**20)\/(k**(-41)*k**(-4)*k*k\/(k\/(k\/(k**(-2\/7)*k)))) assuming k is positive.\nAnswer: k**(927\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4731, 9486, 14243, 19002, 23763, 28526, 33291?\n\"Answer: l**2 + 4752*l - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -168, -168, -172, -180, -192, -208, -228?\n\"Answer: -2*k**2 + 6*k - 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -372 + 196 = -2*w. Let j = w + -52. Suppose 0*y + 2*y + 4*x - 22 = 0, -4*y = x - 37. What is the highest common factor of y and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-1*sqrt(84)*1 + ((1*sqrt(84) - sqrt(84)) + sqrt(84) + sqrt(84))*-4)\/(sqrt(192)\/sqrt(4)*-1))**2.\nAnswer: 1701\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 5:13 PM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f - 5. Let b(s) = -s + 1. Let k(j) = 4*b(j) + q(j). Determine k(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -5*x - 2*m, 8 = -3*x + 4*x + 3*m. Let b = -7 - x. What are the prime factors of ((-2)\/b)\/((-8)\/(-204))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3369581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*b + 23*b = -24, -4*u - 10*b + 75 = -9*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 0 = 3*h + 11, 2*n + 2 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 3*h + 0)*(10036 + 5291*h - 10037 + 4694*h).\nAnswer: -29955*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 15) to base 13\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kwzjrjrrrrrj. What is prob of sequence jw?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1281158?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10544 by 62535.\nAnswer: -10544\/62535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -56710283.\nAnswer: -56710274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + -3. Let k = -19 - o. Let x = k + 8.00004. Round x to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + x**2 + x + x**4 - 4*x - 3*x**3 - 2*x + 4*x to the form i + f*x + y*x**2 + w*x**3 + c*x**4 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/9 and -38\/2247?\nAnswer: 6741","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z - 75*z**2 - 96*z**2 + 5*z.\nAnswer: -171*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230867?\nAnswer: 7, 13, 43, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 288 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 7*h**2 + 37*h - 89. What is v(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 23 = 4*q, 0*q = 5*t - q - 32. Suppose -t*w + f + 55 = -2*w, -2*w = 4*f. Let p(x) = -x + 9. Let c be p(w). Is -2\/7 less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -d**2\/5 + 9867*d\/5 - 9866\/5 = 0.\nAnswer: 1, 9866","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.036 - 0.164. Which is the closest to -1\/4? (a) 1\/5 (b) 0.06 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1005 or 11057\/11?\nAnswer: 11057\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-3)*(255\/50)\/17.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*j**3*y**2 - 2469*j**2*y**2 - 2*j*y**2 - 23320*j*y wrt j.\nAnswer: 48*j*y**2 - 4938*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, -1\/4, 998, -5, 1\/3.\nAnswer: -5, -1\/4, 1\/9, 1\/3, 998","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1019310, 2038608, 3057906, 4077204, 5096502?\n\"Answer: 1019298*b + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 12:32 AM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 50\/(-126) + 6\/21. Let u be (-3)\/(2 + (-1 - -3)). Let j = 0.1 + 0.4. Sort m, u, j.\nAnswer: u, m, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -1694?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, i: 3, b: 1, d: 1, s: 2, m: 2}. What is prob of sequence ibd?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -6034376 (base 8) to base 4\nAnswer: -12003203332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 b, and 1 t when three letters picked without replacement from {b: 4, t: 3, v: 6}.\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 158*h**2 + 53*h**3 + h**4 - 325*h**2 + 0*h**4 - 50*h**3 in the form d*h**2 + c*h**4 + s*h + y + w*h**3 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 868\/147 + -6 + (-145)\/21. Put g, 0, -0.4, 1\/4 in ascending order.\nAnswer: g, -0.4, 0, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 5 = 29. Let c be 184*(27\/z)\/(-3). Suppose 0 = 4*m - 3*n - c, m + 4*n - 35 = 34. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 88 or 6720?\nAnswer: 6720","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*f + 2*q + 8, -24 = -4*f + q. What is the units digit of 6\/(-15) + 12\/f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -4*o**2 - 4 - 4*o**3 + 8 + 3*o**3 - o. Let l be (1\/(-2))\/((-1)\/(-6)). Let v be -2*((-27)\/6)\/l. Determine f(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 - 8*g**2 - 5*g + 11. Give o(-8).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*f**3 - 3*f**2 - 3*f**3 + f**2 as j + o*f**2 + x*f + n*f**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 3:19 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**3*f**3*z**3 - 81*a**3*f**2*z**3 - 2*a**3 + a**2*f*z**2 - 33*f**3*z**2 wrt z?\nAnswer: 6*a**3*f**3 - 486*a**3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p**3 - 313*p**2 + 1300*p - 91460. Determine s(103).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 1 + 3)*(r - 7*r + 2*r) + 2*r - r - 2*r + 6.\nAnswer: -41*r + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55314?\nAnswer: 2, 3, 7, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 19283100 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 21*c**2 + 8*c**2 + 3*c**2 + 2*c**2 - 1.\nAnswer: -8*c**2 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 3 = 0, 245*q + 244*q - 4*l = 485*q + 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -30630 rounded to the nearest 1000?\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 0 - (-13 + 8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 b when two letters picked without replacement from govvmbof?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -876, -2704, -5748, -10008?\nAnswer: -15484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -35*t**3 + 7920*t**2 - 92140*t + 25680 = 0.\nAnswer: 2\/7, 12, 214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 35 = -9*f. Solve -z = f*b - 2 - 7, -3*b + 4 = 2*z for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/17? (a) -6 (b) -78 (c) -0.032\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 4*m**2 + 0*m**2 - 5*m**2 + 4*m + 3. Determine f(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m - 14. Let i(l) = 2*l - 29. Determine 9*h(d) - 4*i(d).\nAnswer: d - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40 + 89 + -9 + 2 + -13.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10480358 to the power of 1\/3, to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -4*d - 10. Let y = 16 - 22. Let k be g(y). Let l be (k\/21)\/((-4)\/6). Sort 1, -2, l.\nAnswer: -2, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/5 (b) -3998 (c) -12 (d) 36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 1:12 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2802042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 8 = -4*c + 5*a, -3*a = 4*c - 22 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + t + 0*t)*(3 - 2 + 1) - t + 3*t + 37*t.\nAnswer: 35*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 282 divide 15948919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3*v = 0, -4 = 2*u + 3*u - 3*v. Which is the nearest to u? (a) 0.1 (b) -1 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 774*a**4 + 16*a**3 + 3760*a**2?\nAnswer: 18576*a + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + q - 1. Let h(k) = -7*k**2 - 7*k + 5. Let v = 236 - 145. Let g = v - 86. What is g*m(l) + h(l)?\nAnswer: -2*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*12\/8 + 114. Let z be 64\/5 + 5\/25. What is the highest common divisor of q and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of 4*n**6\/15 - n**5\/10 + 11*n**4\/24 - 3*n**3\/2 - n**2 + 12. Is 49 a factor of b(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 6 + (-1 - (-3 - -7)) + 199 + -149.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-6)*(-77)\/(-308)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = u - 5*u - 18, 2*u + 14 = 5*t. What is the least common multiple of 2 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*6\/(-6)*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -185 plus -335?\nAnswer: -520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 26 = -2*j, -y + 5*j + 0*j = 9. Suppose y*v - 1512 = -11*v. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1383413 litres in millilitres?\nAnswer: 138.3413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ikkk when four letters picked without replacement from {i: 6, k: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (275\/66 - (-15)\/(-10))*9\/(-15).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-1\/4)*p*p)\/p*p)**16\/(p**(-5)\/(p*p**7)) assuming p is positive.\nAnswer: p**57","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 6. Is 262\/8 + r\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3\/2 - 85*t**2\/2 + 109*t\/2 - 27\/2.\nAnswer: (t - 27)*(t - 1)*(3*t - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 7 + 1 = -3*i, 3*i - 6 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1647\/(-90))\/(22 - 1) - 0 and 45\/28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -379 + 379.4. Suppose -3*m + 3 - 6 = 0. Let k be (1 - 4)\/(2 - -3). What is the third biggest value in d, k, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*k**3\/5 - 51999*k**2\/5 - 90006*k - 276912\/5 = 0. What is k?\nAnswer: -5769, -8, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27034\/9 + 2999. Let k = -2652 - -79513\/30. Calculate the common denominator of c and k.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 - -29. Let x(i) = 0 + r - 1. Let y(d) be the first derivative of -d**2 - d - 1. Determine -3*x(f) + y(f).\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from qhqhghgq?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*j**4 - 6*j + 8*j + 182*j**4 - 13*j - 44*j wrt j.\nAnswer: 2016*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.2 (b) 1.6 (c) -5 (d) 2\/399 (e) -2\/7 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6416*u**3 + 4*u**2 - 2*u**2 + 1 - 6529*u**3 wrt u.\nAnswer: -678","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 4*v**2 + 3*v - 2. Calculate t(-3).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of -v**5\/20 + 13*v**4\/12 - 2*v**3 - 187*v + 286. Let h(t) be the first derivative of k(t). Factor h(f).\nAnswer: -f*(f - 12)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 27 (c) -3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 332524993451 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1584 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 89.56 and 0.1?\nAnswer: 8.956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 f, and 1 t when three letters picked without replacement from {f: 1, r: 3, t: 2, s: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -i - 665, -4*c + 5*i = -c - 994. Suppose 14*k - c = 731. What is the greatest common divisor of 57 and k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(1008)*-1*2*5 + 4*((sqrt(1008)*1 + 4)**2 + 2).\nAnswer: 144*sqrt(7) + 4104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12784.51 years in millennia?\nAnswer: 12.78451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0336453795 to 4 dps.\nAnswer: -0.0336","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of 10*t**3\/3 - 23*t - 10. Let c(g) = 15*g. What is w(c(q))?\nAnswer: 300*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (2\/12)\/(17\/(204\/14))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -248 + 110. Let p = 140 + l. Which is the closest to -0.1? (a) p (b) -2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -936.4 and -505716923.\nAnswer: -505717859.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 248, -4, -63072 in decreasing order.\nAnswer: 248, -2, -4, -63072","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 9) to base 12.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*n = -4*n + 54 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 76841101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/22 and 37\/4424?\nAnswer: 48664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1137 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 tens digit of 22539?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -3 (c) 0.09 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 2 r, and 1 x when four letters picked without replacement from {f: 4, r: 2, x: 1, g: 1, c: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 13 - (-2302 - -2319)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5297419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 45?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5994, -23959, -53896, -95805?\nAnswer: -149686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2952 + -2915. Solve -3*v = 19 - s for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35 + 5. Suppose 4*b - 4*q - 60 = 0, -b = 15*q - 18*q - 25. Calculate the least common multiple of b and y.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of h**8\/112 + h**4\/12 - 3*h**2\/2 + 3*h. Let l(k) be the first derivative of v(k). What is the second derivative of l(j) wrt j?\nAnswer: 60*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61095392.\nAnswer: 2, 1909231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/24 - ((-6168)\/(-1440) - 4). Which is the nearest to 32? (a) 0.3 (b) m (c) 0.5 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 96 + -482\/5. Let i = 0.3 + -0.1. What is the nearest to q in -5, 2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 634872344 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - -14) + (0 + 2 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1855?\nAnswer: 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70)\/20*(-744)\/21700?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 4*b - 484 = 0, -3*n + 457 - 106 = -b. Let k be (-578)\/9 + 26\/117. Let c = n + k. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.58888077 rounded to 1 dp?\nAnswer: -35.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240) + (sqrt(240) - (sqrt(240) + (sqrt(240) - (3*sqrt(240) + sqrt(240)))) - sqrt(240)))*3*-1)\/(5*1*(sqrt(972) - (sqrt(972)*5 + sqrt(972)))).\nAnswer: 2*sqrt(5)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k + 20. Let d be 1 - (-1 - (-1 + 17)). List the prime factors of i(d).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 9*n**5 + 6*n**4 - 29*n**3 + 30*n**2 + 8*n + 4. Let p(f) = -16*f**5 - 13*f**4 + 60*f**3 - 59*f**2 - 14*f - 7. Let m(r) = 4*p(r) + 7*s(r). Factor m(a).\nAnswer: -a**2*(a - 2)*(a - 1)*(a + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1784762296 to the power of 1\/2, to the nearest integer?\nAnswer: 42246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 560392809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.8425535 rounded to 3 dps?\nAnswer: -22.843","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -0.0321346\nAnswer: 0.1285384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/((16\/28)\/2). Suppose g - 4 = h + 5, -v = 3*h - 2*g. Is ((-4)\/h)\/(13\/4745) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wo when two letters picked without replacement from {w: 7, r: 1, k: 1, l: 5, o: 1, a: 4}.\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2783 is divided by 109.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1687184, -2, -5, 1.\nAnswer: -5, -2, 1, 1687184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 56 - 52. Suppose 166*g - 309 = 63*g. Let n = -1 + 1. Sort g, -3, a, n in ascending order.\nAnswer: -3, n, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oddaodsdassessaedd. Give prob of sequence sode.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 10286?\nAnswer: 5\/10286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 6*m**2 + 8*m - 10. Let c be s(7). Let a be (2 + -2)*(-2 - c). Suppose 0 = -3*y - a*y. Solve y = -9*g + 4*g - 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/3, -0.5, -0.4, -4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -74*l**2 + 5847*l - 77. Let j be m(79). Factor 1\/4*u**4 + 0 - 1\/4*u**j - u**3 + u.\nAnswer: u*(u - 4)*(u - 1)*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 14, b: 5}. Give prob of picking 3 j.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 - 2*r**2 + 5*r**2)*(696*r**2 - 695*r**2 - 2462 + 1692).\nAnswer: r**4 - 770*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (25 - 24 - 13) + (5 - 1) - 10?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 373 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.623 - 1.623035278. What is z rounded to 7 dps?\nAnswer: -0.0000353","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*u + 5 = -15*u. List the prime factors of -137*u\/(-15)*3.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 17*u**2 + 4147*u - 1033. Calculate c(-244).\nAnswer: -789","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -114 divided by 57\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 37 + 695*g - 5 - 702*g + 18. Give o(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xgg when three letters picked without replacement from {g: 7, x: 3}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-7) - 88\/(-14). Suppose -g - u = -4*g. Let d = -126 - -132. What is the remainder when d is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) 1 (c) 0 (d) 80\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, z: 1, t: 2, y: 4, j: 2}. What is prob of picking 2 y, 1 z, and 1 a?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04808 - 114099.\nAnswer: -114099.04808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 649815021 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1890, -3812, -5732, -7650, -9566, -11480, -13392?\nAnswer: -15302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -741989, -1483976, -2225963?\nAnswer: -2967950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + (1*(sqrt(243) + 0 + -3)*1)**2).\nAnswer: -54*sqrt(3) + 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2202*w - 25 + 50 - 25 - 4585*w + 2381*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 425 - 633. Let g = z - -208. Which is the closest to 1\/2? (a) 1\/2 (b) -5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*p**5 + 3*p**5 - p**5 + (2*p**3 - p**3 - 6*p**3)*(-3*p + 3*p - 2*p**2) + 0 + 0 - p**5 + (2*p**3 + 3*p**3 - 6*p**3)*(-11*p**2 - 6*p**2 + 8*p**2).\nAnswer: 15*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -100218054.21 and 6075.\nAnswer: -100211979.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 201, 637, 1491, 2907?\nAnswer: 5029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**2 - 515 + 515.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + b = -38, 0*y + 3*y - 3*b = 60. Suppose -9*c + 7*c + y = 0. Suppose 63 = c*q - 90. Is 6 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(3\/11))\/p*p*p**(-2\/29))\/((p\/p**2)\/p)**(-26))**(-1\/28) assuming p is positive.\nAnswer: p**(8189\/4466)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -728296*j**2 + 12*j + 68. Let n be i(-5). Let c = -12887392 - n. Round c to the nearest 100000.\nAnswer: 5300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 90*y**6 + y**5 + 6*y**4 - y**2 - 20*y - 27?\nAnswer: 10800*y**3 + 60*y**2 + 144*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*j - 2*d + 70, 13*j + 8*j - 73*j + 54*j = -4*d + 14 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (v + 0*v + 0*v)*(-350 - 361 + 66)*(-1 - 5 + 0) in the form h*v + x and give h.\nAnswer: 3870","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10980 - 9100*a + 10980.\nAnswer: -9100*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 465 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of i**7\/105 + 263*i**6\/30 + i**5\/30 + 157*i**3\/6 - 4*i**2 + 20. Find the third derivative of m(y) wrt y.\nAnswer: 48*y + 6312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**3 - 3*c**3 + 5*c**3)*(-1 + 3 + 2) + 0*c**3 + 0*c**3 + 2*c**3 + (3*c**3 - 26*c**3 - 36*c**3)*(-2 + 1 - 3).\nAnswer: 234*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 + -13. Suppose -m = -18 - x. Calculate the least common multiple of m and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - -3. Suppose 3*q = 2*j - d*j + 10, 5*j - 3*q - 26 = 0. Let u = -9 + j. Put u, -4, 5 in descending order.\nAnswer: 5, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (-4 + -22 + 19)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -221113?\nAnswer: 221122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 + -24.24. Let i = j + -0.16. Which is the nearest to -1\/3? (a) i (b) 0 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of 9*p + 1\/2*p**2 - 1\/3*p**3 + 1\/4*p**4 + 1. Calculate o(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16)\/(-24)*1246755\/10 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -479*v + 13045. Calculate z(28).\nAnswer: -367","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -542 * -87247\nAnswer: 47287874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 373 + -372.5. Let o = -28 + 23. Sort o, -1, -0.05, f in descending order.\nAnswer: f, -0.05, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 305.3596624 to 2 dps.\nAnswer: 305.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43065?\nAnswer: 3, 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (8 - 14) - 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + -19. Let h = 53 + y. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*o + 117316 = -125*o + f, -3*f = -3*o + 175965. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 229920\/13412*(-42)\/8?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 - -245. Does 44 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10744 and 1527544.\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 (base 8) in base 10?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*b - 3*b + 139 - 172 to m*b + f and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + l - 7, -s - s - l = -3. Let k(z) be the second derivative of 0 - 1\/6*z**3 - 1\/12*z**4 + 0*z**s - z. Factor k(g).\nAnswer: -g*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 304 - 6?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 g when two letters picked without replacement from {r: 2, g: 1}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 7) in base 9?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 120*u**2 - 12*u - 7. Let p(h) = -237*h**2 + 24*h + 15. Let y(n) = -5*a(n) - 2*p(n). What is the second derivative of y(t) wrt t?\nAnswer: -252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 + 115\/10)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 1. Find the third derivative of 3*g**2 - 3*g**4 + 0*g - g**t + 0*g wrt g.\nAnswer: -72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-475)\/(-380))\/(6\/(-8)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -89 - -153. Suppose -4*v = -6*v + p. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 4*y + y. Suppose 2*j = -3*j + y. Suppose -2*m + 32 = 5*a, m + 38 = 4*m + 5*a. What is the greatest common factor of m and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 2*w + 55, -5*w + 2*j = j + 146. Let d = -17 - w. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-42))\/((-352)\/(-112))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*s = -36*s + 210 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s**3 + 12234*s**2 + 3*s + 2 - 2 + 12230*s**2 - 24390*s**2.\nAnswer: 6*s**3 + 74*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 4*w = 0. Suppose -14*p + 13*p - 124 = w. Let u = p - -128. Solve g + 4*g + 35 = -5*m, 0 = -u*m + g - 13 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28764 and 7303941?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 116 = -4*y. Let k be 0 + -2 - (1 + 23). Let z = y + k. Solve 0*x = -z*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3\/11 + 7286042*h**2\/11 + 2649472*h + 29144200\/11.\nAnswer: -2*(h - 3643025)*(h + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -39*t**3 - 203 + 96 + 104 in the form q + l*t**3 + u*t + y*t**2 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -221 divided by 17\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(27)*4.\nAnswer: -5 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 17\/3 (b) -3 (c) -4 (d) -578.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(1088) - sqrt(1088)) + 4 + 6*(sqrt(1088) + 0) + 1 - (5*(sqrt(1088)*-5 - sqrt(1088)) - 2*(sqrt(1088) - (sqrt(1088) + -4))))**2.\nAnswer: 6864*sqrt(17) + 1185001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of -b**3\/3 + 109*b. Let i(v) = -2*v**2 + 4*v. Determine i(n(d)).\nAnswer: -8*d**2 - 8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5530, -5461, -5352, -5185, -4942, -4605, -4156, -3577?\nAnswer: -2850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 47 and 224629027.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 13*h**2 + 13*h - 12. Let x be a(12). Solve -f + x = -4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2217 divide 433363641?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -d2ec (base 15) to base 9\nAnswer: -67086","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222 = -6*q + 108. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11625791.\nAnswer: 11625791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 352\/18*(-25362)\/(-11272)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 4*f + 6. Let k be r(5). Let y = k + -15. What is the closest to -2\/7 in -3\/4, y, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 49720 = 4*k, 795*p + 16 = 791*p. What is the thousands digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 9 - (-94 + 113)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 135 and 2505.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -614829, -614828, -614827?\nAnswer: -614826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1246 is divided by 87.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5961575?\nAnswer: 5, 238463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 38 = -4*b + 38, -4*b = -y - 70. Calculate the remainder when 65 is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.092582 to 0 decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1387742 is divided by 350.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1266 is divided by 158.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175*d = -178*d + 2*j + 194, -2*j - 8 = 0. Calculate the greatest common factor of d and 837.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*y - 144 = -20*y - 19*y for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 60\/763 and 9\/7.\nAnswer: 763","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + 6*c + 5. Let u be q(5). Let r = u - 4. Suppose -l - 1895 = -r*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1990\/4 + (-14 - (-350)\/28). Let n = k - 493. Suppose 2\/17*o**4 + 0 + 18\/17*o + 6\/17*o**2 - 10\/17*o**n = 0. What is o?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 353, -3.\nAnswer: -3, 0, 353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4923 and 4.\nAnswer: 19692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1032112 (base 5) to base 9\nAnswer: -26347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5268 + 14*x**2 + 12*x**2 - 5272 to f*x**2 + p*x + u and give f.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 7965, -2.\nAnswer: -2, 1, 7965","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 2*i**2 + 2*i - 4. Let l be b(-3). Let u = -3 - l. What is the units digit of (-24)\/(-4)*u\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 - 183 = 8*x - 2*q - 83, 4*x + 40 = 5*q for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6073599881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 7:10 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*a*z**2 - 268*a + z**2 + 98*z + 2 wrt a?\nAnswer: -2*z**2 - 268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14\/49 + (0 - 4\/14). Solve -3*g = -2*f - 2*f + 13, r = 2*f + 3*g - 11 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = 244*y - 248*y + 305, -3*r + 2*y + 183 = 0 for r.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -794*i - 343*i + 3769*i in the form o*i + a and give o.\nAnswer: 2632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.5 (b) 16806 (c) 0.1 (d) 4 (e) 12 (f) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -43*j - 10 + 94*j - 54*j. Let g(p) be the first derivative of -4*p**3\/3 - 2. Determine g(x(d)).\nAnswer: -36*d**2 - 240*d - 400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -323*r**5\/60 + 113*r**4\/6 + 441*r**2. Find the second derivative of i(o) wrt o.\nAnswer: -646","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78612788.\nAnswer: 2, 577, 34061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -2*b + 16, 1810*t - 1812*t - 1 = -b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2*t + 33 = 0. Let z be ((-1)\/((-2)\/8))\/(76 + -74). Suppose 0 = -4*d + 3*g - 7*g + 80, -t = -z*d + 5*g. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cqrqkqsgqqccs. Give prob of sequence qkc.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -34, -65, -108, -157, -206, -249?\n\"Answer: b**3 - 12*b**2 - 2*b - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-37114076)\/(-1314))\/((-4)\/(-18)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -4. Let a(o) = 2*o - 7*o + v*o. Give a(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 226 (b) -18 (c) -4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1011 (base 2) to base 13\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k = 6*k + 24 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -147601451, -147601447, -147601443, -147601439, -147601435, -147601431?\n\"Answer: 4*s - 147601455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3013092 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of z**6\/120 - z**5\/10 + z**4\/24 - 2*z**3\/3 + 17*z**2. What are the prime factors of g(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 5:32 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4535+590072\nAnswer: 585537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + 3 + -3)**2 + sqrt(189)\/sqrt(3) + (((sqrt(112) + 1)*2 - sqrt(112)) + -5)**2.\nAnswer: -21*sqrt(7) + 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18395 and 12597.\nAnswer: 17824755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -16 - 8. Suppose 4*o = 6*o - a. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - (sqrt(5) + 2 - sqrt(5)))*-4)**2 + sqrt(5) - (sqrt(15)\/sqrt(3) + 1).\nAnswer: -64*sqrt(5) + 143","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/(sqrt(72)*-1 + sqrt(8)).\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 + 2375196*c + 1410389009604.\nAnswer: (c + 1187598)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15616*o**5*x**2 - 24*o**5*x + 5*o**2*x**2 - 3*o**2*x + 438*o**2 - o*x**2 + 3*o*x wrt o?\nAnswer: 936960*o**2*x**2 - 1440*o**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 111182147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/63)\/(52\/234).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 60*q**2 + 65*q - 242. Let f be l(61). Which is the closest to f? (a) -83 (b) 0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 + 19*x - 4. Calculate z(16).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 175.\nAnswer: -3\/175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 65 - 101. Let k = x + 32. Let m(v) = 3*v. Let t(g) = -2*g. Calculate k*m(o) - 3*t(o).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*r + 2 - 2.\nAnswer: 65*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*m - m + m)*(-1 - 2 + 1) - 2*m - 2 + 2 + 6*m - 3*m - 2*m.\nAnswer: -19*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + 11*l + 9. Calculate the remainder when r(7) is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19301989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 4?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 o when four letters picked without replacement from ooooooooeoooooo.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zpp when three letters picked without replacement from {z: 9, p: 11}.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1685.100016738 + 1685.1. What is j rounded to seven dps?\nAnswer: -0.0000167","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1369 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 123\/((-10824)\/9328) + -20.\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 826648?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 1. Let u(i) = -i - 2. Let m(v) = -l(v) + u(v). What is m(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 - -17. Sort q, 2, 0.3 in descending order.\nAnswer: 2, 0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -k**4\/3 + 2*k**2 + k. Let n = -18 - -21. Let w(u) = 7*u**2 - 8. Calculate n*w(z) + 5*c(z).\nAnswer: z**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0055 - 34.9945. Let x = -35.170277 - -0.174677. Let z = w - x. Round z to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 2 - (27 + -10 + -8 - 45).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -866, -95, -3\/2, 0.2, -4\/3?\nAnswer: -866","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 58085731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5237593 is divided by 5090.\nAnswer: 5073","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(28))*5 + sqrt(28) - (sqrt(140) - sqrt(140)*-1)\/sqrt(5).\nAnswer: -5 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((84\/(-6))\/(-42))\/((-2)\/(-12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 16*m + 45. Let u(l) = 176*l + 504. What is -56*s(n) + 5*u(n)?\nAnswer: -16*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n + 2 + 9 - 3*n. Let f be z(13). Let p(h) = 17*h**2 - 6. Does 8 divide p(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 193596 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5823 + -5819.014. Round f to 0 dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 + 4*t - 60. Let p be f(6). Solve p = -o + 3*o + 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 6168*k**2 - 46*k + 6. Let s(q) = 12335*q**2 - 80*q + 11. What is -7*n(y) + 4*s(y)?\nAnswer: 6164*y**2 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l**2 + l - 5. Let b be g(-9). Let i = 182 - 118. Let n be (0 - -1)\/(-4 - b\/i). Calculate the greatest common divisor of 8 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 4*u + 2*s - 4, -5*u = -s - 11 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1541, -304, -3.\nAnswer: -304, -3, 1541","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by -6456?\nAnswer: 5\/2152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3049112 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -6*q - 8. Let k(r) = -2*r - 3. Let a be (-56)\/(-6) + (-4)\/3. Calculate a*k(m) - 3*d(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/15, -3.7, 0.4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2856 - 19.6\nAnswer: -2875.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42157, 168625, 379417, 674545, 1054021, 1517857, 2066065, 2698657?\nAnswer: 3415645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 5*f = -48, 55 = -4*j - 5*f - 9. Let i be (-8 - -1)*-42*(-8)\/j. Let c = -125 + i. What are the prime factors of c?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 67.952 + -68. Round l to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -1 (c) 6\/13 (d) 4 (e) 0.18\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 AM and 9:57 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100012221110 (base 3) in base 9?\nAnswer: -1305843","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1205133435 - -5?\nAnswer: 1205133444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 + 44 + 282 = -8*p. Is p greater than 0.18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-78)\/(-6) + -2 + 0. Let a(b) = 55*b + 11*b**2 + 61 - 18*b**2 + 5*b**2. Let h be a(28). Calculate the highest common factor of h and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b - 4 - 8 + 12.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 538 - 269 - 269 + 133963*i.\nAnswer: 133963*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 38 = -4*x. Let h = -144 - x. Let y be (h\/(-3))\/(7\/(-1344)). What is y rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99559 is divided by 110.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-492)\/(-287))\/((-75)\/21 - -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**6\/(g*g**(2\/19))*(g**(-1))**(-7\/6))**(6\/35) assuming g is positive.\nAnswer: g**(691\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 4. Suppose 0 = 3*j - a*s + s - 34, 0 = -4*j + 2*s + 48. Let w = 35 - 13. Calculate the least common multiple of j and w.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 m when two letters picked without replacement from {p: 3, c: 2, m: 2, u: 1, q: 1, t: 6}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 2*r = -8. Let s be ((-10)\/(-15))\/(2\/(-3)). Let x be (s\/(-2))\/((-8)\/12). Which is the closest to r? (a) 0 (b) x (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3*sqrt(133)\/sqrt(7) + 2.\nAnswer: 5 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -289.103168 - -1.1.\nAnswer: -288.003168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -9*a**3 + 2*a**2 - 3. Let k(v) = 26*v**3 - 7*v**2 + 8. Let m(u) = -2*k(u) - 7*t(u). What is the first derivative of m(d) wrt d?\nAnswer: 33*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -38*v. List the prime factors of z(-4).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120197313?\nAnswer: 3, 13355257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15a + -158?\nAnswer: -307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 13*l**3 + 11*l**2 - 14*l - 12. What is the tens digit of b(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-1 - 1\/(-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 5*q**3 + 2*q + 1. Let j be c(-1). Let v = -4 - j. Suppose -v*r = r - 72. What is the highest common divisor of r and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8546 - 8195. Suppose -753 = -3*l + 6*l. Let a = d + l. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 3*z**2 - 3*z - 8. What is w(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42344)\/(-201))\/316*-3*34.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23881 + 24544. What is the remainder when j is divided by 31?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 39 = -8, 248 = -4*d - 6*a + 781 - 259 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 679661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3328*t = 2827*t + 13527 for t.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/10)\/(2\/(-5)). What is the highest common factor of k and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that z**3\/3 - 2*z**2 + 5*z\/3 = 0.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -86 (b) -6 (c) 0.2 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 8*t**2 + 7*t - 5. Let v(p) = p**3 + 10*p**2 - 4*p - 34. Let b(q) = -q**3 - 9*q**2 + 25*q + 23. Let l be b(-11). Let x be v(l). Calculate m(x).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 4, 4*y - 88 = x - 14. Let i be y\/(-27) + 68\/39. Suppose 2*g - 5*z = -6, 0 = -0*z + 2*z - 4. Is i greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -20*r**2 - 7*r - 3. Let a(i) = 40*i**2 + 16*i + 8. What is -2*a(p) - 5*s(p)?\nAnswer: 20*p**2 + 3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -693 divided by -1\nAnswer: 693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**7)**(-4\/9)\/(h**11\/h)**(-27\/7) assuming h is positive.\nAnswer: h**(2206\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2918*x - 4180*x + 298116 = 0 for x.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -226*w + 7. Let c(m) = 228*m - 9. Calculate 3*c(l) + 4*v(l).\nAnswer: -220*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 909124 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 2:36 PM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + d - 3*y - 34, -y - 58 = -3*d. Solve n + 10 = -2*r - 0, 4*r = -3*n - d for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8\/3 of a week?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -4, 1105, 1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 56*o + 26. Let r(q) = 0*q**2 + 8*q**2 - 20*q**2 + 8*q**2 + 5*q**2. Give r(p(f)).\nAnswer: 3136*f**2 + 2912*f + 676","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-28)\/(-2) - 13\/((-65)\/(-10)). Suppose 89 = 4*l - v, 0 = 4*v - 0*v - o. What is the remainder when 41 is divided by l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 643.9 * -410.\nAnswer: -263999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 times 0.2326347?\nAnswer: -0.006979041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 73\/3 - 5564\/231. Calculate the common denominator of -70\/99 and f.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.022 - -0.022. Which is the nearest to 1? (a) o (b) 1\/6 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.03 + -2.03. Let v = 2 - 3. Let t = -94.59 + 94.29. What is the nearest to 2\/15 in t, v, d?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of v**6\/180 + v**3\/6 + 6*v. Let c(i) be the second derivative of a(i). Let x(s) = -s**2. Give -c(n) + x(n).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1624 by -14.\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4 = v, 5*n + 40 = -4*v + n. Let q = v - -26. What is the lowest common multiple of 8 and q?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 71666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 264 - 8937*v**2 - 264 + 8999*v**2.\nAnswer: 62*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (74*p - 2*p**2 - 2 - 74*p)*(3 - 7 + 1)*(-14*p**3 - 152*p + 77*p + 79*p).\nAnswer: -84*p**5 - 60*p**3 + 24*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 3. Let h = 0.02 + -2.02. Put y, 6, h in decreasing order.\nAnswer: 6, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 2586*k = -2581*k - 60, -53 = -5*x + 2*k for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/2*(-26 - -6). Calculate the common denominator of (4\/t)\/(16\/1660) and 67\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0359 rounded to 3 decimal places?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -97*z + 38. Let y(m) = -42*m + 20. Let n(b) = 3*i(b) - 7*y(b). What is n(3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -1\/4, 2\/9, -1, -2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 170.2913 kilometers to centimeters.\nAnswer: 17029130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1 + sqrt(44)\/sqrt(4) + sqrt(99)\/sqrt(9) + -1 + -2)**2.\nAnswer: -16*sqrt(11) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7808 and 223016.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -41, -136, -321, -626, -1081, -1716, -2561?\nAnswer: -3646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/(sqrt(10)\/sqrt(2)) + -3)**2 - (-5 + (2*sqrt(567))**2).\nAnswer: -2247 - 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50434034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 250563?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -8163167*o**2. Let c(u) = 2*u**2. Calculate c(k(q)).\nAnswer: 133274590939778*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (9 + 12 + -14)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 - -0.9. Let t = 0 + 0.4. What is the second smallest value in t, j, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, q: 5, o: 2, n: 3}. Give prob of picking 1 a and 1 q.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -0.05523.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1096 by 5215.\nAnswer: 1096\/5215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -2*p**3\/3 - 508*p. Let w(d) = 5*d**2 + 12*d**2 + 0*d**2. Determine s(w(n)).\nAnswer: -68*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-32 - 3) + (5 + 13 - (191 - 170))\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l - 8*l + 0*l)*(27*l - 50*l - 79*l)*(-3*l - 1 + 1).\nAnswer: -3978*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3402 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(4\/7)\/q)\/q**(3\/2))\/(q**(3\/2)\/q**(-6\/11)) assuming q is positive.\nAnswer: q**(-306\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/3 + 16970*q\/3.\nAnswer: 2*q*(q + 8485)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a - 2*a + a)*(4 - 5 + 2)*(436 - 89 + 126) to the form j*a + v and give j.\nAnswer: -1419","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cebzc. Give prob of sequence eb.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.208 + -0.008. Do m and -13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -2*q + 3 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 78*b + 256 - 526 - 1290 for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 716574 to the power of 1\/2, to the nearest integer?\nAnswer: 847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-9\/5)*u)\/u**(1\/5)*u**(-6\/7)\/(u\/(u**(9\/5)*u)) assuming u is positive.\nAnswer: u**(33\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 199 + -199.5. What is the third smallest value in 0.1, 0.2, -0.2, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -341 + 548. Suppose -7*c - o = -10*c. Calculate the remainder when c is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) + 0 + 3 - sqrt(2448)) + (sqrt(1377) - (1 + 2*sqrt(1377)))**2.\nAnswer: 18*sqrt(17) + 1381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -68*d**2*y + d*w**3*y - 9*w**3*y - 4*w*y - 3*y wrt d.\nAnswer: -136*d*y + w**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 4*y - 20, y - 2*z + 7*z - 23 = 0. Let t(f) = f**2 - 6*f + 2. Let k be t(5). Put y, 4\/3, k in descending order.\nAnswer: y, 4\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-18) + 48\/72\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 6. Solve 2*b - 2*x = 2, -1 = -5*x - f for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*g**5 + 7*g**3 + 2*g + 44.\nAnswer: -180*g**3 + 42*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -49 + 0?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 - -50. Find the third derivative of -45*f**4 + m*f**4 + 23*f**2 + 20*f**4 - 7*f**5 wrt f.\nAnswer: -420*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7567 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -183317 (base 9) to base 6.\nAnswer: -2235411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 33318588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17226479?\nAnswer: 3343, 5153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 + 1. Let n(t) = 7*t**2 - 7. What is -4*k(x) - n(x)?\nAnswer: -3*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (33576 + 540*n - 33576)*(0*n + 0*n + n) as l*n**2 + k + w*n and give l.\nAnswer: 540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 2) + 11 + -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -253*m**3 - 2*m**2 + 3*m - 1. Is h(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/10 and 55\/42.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2344 and 3930595.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31 or 4.5416?\nAnswer: 4.5416","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*w**3 + 709*w**3 + 728*w**3 - 399*w**3 + (-2*w**3 + 2 - 2)*(3 - 6 + 8) + 2*w**2 - 2*w**2 + w**3.\nAnswer: 1039*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6336 and 432.\nAnswer: 19008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 27391910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000102427 to 7 dps.\nAnswer: -0.0000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 336*d + 2000 + 151*d - 2000 to j + o*d and give o.\nAnswer: 487","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 333263733 + -333263634.9998645. Let a = 98 - g. What is a rounded to six decimal places?\nAnswer: -0.000136","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1057*l**3*x*z**3 - 146*l**3*x*z**2 - 3*l**3 + 3*l**2*x*z**2 - 2*l**2*x*z - l**2*z**3 - 2*l**2*z**2 - 2*l*x*z - 5162*x*z wrt l?\nAnswer: 6342*x*z**3 - 876*x*z**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 148 and 23162999?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*k = 111*k - 960. Let w(t) be the first derivative of -6*t - 49\/6*t**6 - k + 14\/5*t**5 - 8\/3*t**3 + 39\/2*t**4 - 29\/2*t**2. Let w(j) = 0. Calculate j.\nAnswer: -1, -3\/7, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 374*i**3 - 20*i - 188*i**3 - 185*i**3 to the form z*i**3 + o + q*i + b*i**2 and give q.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 - 0. Let x(d) = -2*d**2 - 10*d + 11. Let m be x(10). Let i = m - -3755\/13. What is the closest to l in 0.3, i, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*s**4*y - s**4 - 26*s**3*y + 13*s**3 + s**2 - s*y - 5*s + 18*y wrt s.\nAnswer: 48*s*y - 24*s - 156*y + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19108967 to the power of 1\/2, to the nearest integer?\nAnswer: 4371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4*s**2 + 3*s + 3. Let h be (-1)\/(-3 + 2 + 2). Let f be n(h). Solve y = f*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -1 + 161. Is t a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - 3*m**2 + 2*m**2 - 4*m**2. Let j(q) = -q. Calculate x(j(r)).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3566 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/14))**(-33)\/(w**(8\/3)\/w*w\/(w**(5\/12)*w)) assuming w is positive.\nAnswer: w**(-101\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0.2 (b) -2 (c) -2.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4\/35, -1, -1\/3?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 l, and 1 d when three letters picked without replacement from {l: 11, w: 2, d: 2}?\nAnswer: 44\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 9) to base 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of z**5\/60 - 5*z**4\/24 + z**3\/3 - 3*z**2\/2 + 4*z. Let v(b) be the first derivative of r(b). Determine v(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**3*w*y**2 - 7669*h**3*w*y - 9*h*w + 5*h - 226*w*y + y**2 wrt h.\nAnswer: 6*h*w*y**2 - 46014*h*w*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/7 of a week in days?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-6)\/(-4))\/(((-464)\/(-27168))\/29)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(171) - (-2 + sqrt(171) - sqrt(171)))**2 + -5 - -6*2*sqrt(190)\/sqrt(640).\nAnswer: 27*sqrt(19)\/2 + 169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/5 (b) -0.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of d**8\/840 - d**6\/120 - d**3\/6 - d. Let y(k) be the second derivative of x(k). Find the third derivative of y(c) wrt c.\nAnswer: 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 3*h - 38. Let m be x(0). Is 2 a factor of 16\/(-20) + m\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - g + 35 = 0, 3*b + 3*g = g + 52. Let p = -74 + 119. What is the highest common factor of b and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 87009?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - l**2)*(1056 - 489 + 17*l - 507) in the form s + x*l**3 + r*l**2 + v*l and give x.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dx when two letters picked without replacement from {d: 11, w: 8, x: 1}?\nAnswer: 11\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of -i**6\/30 + i**5\/30 - 7*i**4\/24 + 3*i**3\/2 + 3*i**2. Let k(c) = -2*c**3 + c**2 - 3*c + 4. Determine -4*j(y) + 9*k(y).\nAnswer: -2*y**3 + y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93608 is divided by 506?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 9844 divide 1784272793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33086?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) -145 (b) 3\/7 (c) 1.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (-31 - -38) - 8?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 times 490281?\nAnswer: 441252.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 89*j**2 + 5*j - 10. Let u(n) = 5 - 3*n + 36*n**2 - 63*n**2 - 17*n**2. Let c(m) = 5*u(m) + 3*w(m). What is the derivative of c(v) wrt v?\nAnswer: 94*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yyydddddyxddddddyd.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -605*o**3 + 5*o**2 - 15*o - 547. Let p(w) = -303*w**3 + 2*w**2 - 6*w - 274. Let k(a) = 5*p(a) - 2*y(a). Differentiate k(i) wrt i.\nAnswer: -915*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -37817995, -37817994, -37817993?\n\"Answer: m - 37817996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q + 9. Let c(f) = -f - 4. Suppose -11*s + 24 = -7*s. Calculate s*r(j) + 13*c(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 (base 14) in base 7?\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.09 (b) -34 (c) -0.2 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/8, -4\/7, -3\/2, 0, 14\/13, -0.12?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n**5\/11 + 436*n**4\/11 + 714*n**3\/11 + 284*n**2\/11 = 0 for n.\nAnswer: -71, -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 3*h**2 - 12*h - 11. Let c be (-8)\/16*1*-12. Is 2 a factor of g(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264448 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 223311 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -212001121 (base 4) to base 6\nAnswer: -3201001","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -4750, -4756, -4764, -4774, -4786?\nAnswer: -4800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0467 and -149.\nAnswer: 6.9583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 976 = 4*b, 39*s = -2*b + 36*s + 493. Solve 0 = -21*q - 14*q + b for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*f - 12*f + 70 - 70 in the form a + p*f and give p.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -5, 43.8?\nAnswer: 43.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -4\/3, -0.1, 13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q*(q**(-1)\/q)\/q)\/q))**(-1\/36)*(q*q**(-3))\/q**0 assuming q is positive.\nAnswer: q**(-19\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2040653\/40 - 51019. Calculate the common denominator of y and -107\/12.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -15336, -30675, -46014, -61353?\n\"Answer: -15339*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 11 + -23?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*i = 44*i - 17397013. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 7) to base 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhicicchc. What is prob of picking 2 c?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 57250.8012 to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/33, -5, -2, 13, -0.9 in ascending order.\nAnswer: -5, -2, -0.9, -1\/33, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-136)\/(-170)*(27\/(-6) - -2). Let v(f) = -5*f**3 - 3*f**2 - 2*f - 2. Determine v(p).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z - 26. Let k be d(-10). Suppose 0*m = 4*m - 108. Let w = m + k. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13534, -2\/13, -3\/98 in decreasing order.\nAnswer: -3\/98, -2\/13, -13534","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9056022 is divided by 5462.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -12115821, -24231640, -36347459, -48463278, -60579097?\n\"Answer: -12115819*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 11?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1816+0.3\nAnswer: -1815.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 greater than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + (-2)\/(-2)*0. Let c = 39.3 - 39. What is the nearest to -1\/4 in g, c, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*h = -58*h + 120. What is the nearest to -0.2 in 0, h, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -4\/7, 1\/5, 10, 0.85 in descending order.\nAnswer: 10, 1, 0.85, 1\/5, -4\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 30 = -4*b. Let r = 4 - 3. Let u = 5 - r. Solve -u*q - 22 = -b for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/10426681 and -53\/17694.\nAnswer: 187680258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.4 + 2. Let t = -76.2 + -0.8. Let l = t - -75. Put l, -0.2, w in descending order.\nAnswer: -0.2, w, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6426542 and 257.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n - 2. Let t(q) = q**3 - 5*q**2 + 2*q. Calculate the remainder when r(7) is divided by t(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, k: 1, c: 2, p: 2, u: 2, l: 1}. What is prob of sequence lkco?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 2*v + 3. Let z be l(-1). Let d be z\/(5\/(10\/(-6))). Solve d = 2*a + a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11072 + 11072.5. Which is the closest to -1? (a) -0.09 (b) h (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2958*v**3 - 338*v**2 + 34942992*v?\nAnswer: -17748*v - 676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50777.\nAnswer: 50777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 + 24. Let c be (-1 - -3)*2\/o. Let a = -0.1 + -0.9. Sort c, a, 1\/7 in descending order.\nAnswer: c, 1\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - 126)*(6 - 7). Let b = g + -75. What is the derivative of 3*m + b - 27 - 29 wrt m?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 596903 and 4.\nAnswer: 2387612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -79*k - 14. Is 32 a factor of i(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**6)**(-4\/5)*(j**5\/j)\/(j*j\/(j*j**(-15))) assuming j is positive.\nAnswer: j**(-88\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2341278815?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 72.469\nAnswer: 144.938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 5*u**2 + 7*u + 1. Let k be q(-6). Let v be ((-133)\/28)\/(2\/(-8)). Suppose -5*a = -5*h, 4*a - 4*h = -a + 5. Put v, 2, a, k in descending order.\nAnswer: v, a, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3921*u + 45230. Calculate y(-12).\nAnswer: -1822","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/((-2639)\/(-87)))\/(7\/(-273))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46029377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10.44 from 0.47.\nAnswer: -9.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -97 + 64. Is -33 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2b6 (base 12) to base 7\nAnswer: -1146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -118*f**3 + 27*f**2 - 30*f. Let m(d) = 17*d**3 - 4*d**2 + 4*d. Calculate -2*j(o) - 15*m(o).\nAnswer: -19*o**3 + 6*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-171)\/33 + (-6)\/((-60)\/50)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 + 552738384*g + 19094982571683216.\nAnswer: 4*(g + 69092298)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - -11253226?\nAnswer: 11253212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5848 in -11, -3, 1, -5, 307, -0.1?\nAnswer: 307","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7294.\nAnswer: 2, 7, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.27 - -1.49. What is l rounded to one dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2\/5)\/(n*(n**(-1\/13)*n)\/n)*n**(1\/2)*n**(-1\/2) assuming n is positive.\nAnswer: n**(-86\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u = 3*u. Let q be (-51)\/(-1) - 3 - (u + 1). Let a be (q\/2)\/((-40)\/(-16)). Which is greater: a or 9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*b + 8*b**2 - 5*b**2 - 2*b**2.\nAnswer: b**2 - 40*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1006 - 1006. Which is the fourth smallest value? (a) h (b) 0.4 (c) -0.33 (d) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38080449 and 368962?\nAnswer: 5951","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 58 = -4*u, -2*u + 80 = 3*u + o. Let k = u - 22. What is the closest to 0 in -7, k, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5103825 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 36 = 51*u - 52*u, 3*u - 42 = -4*a. Put -1, -5, a, -40, -4 in descending order.\nAnswer: a, -1, -4, -5, -40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 923590?\nAnswer: 2, 5, 19, 4861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 33 (b) -2\/3 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 481 and 1343.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -6*m - 29. Let w be 10\/(-5)*17\/2. What are the prime factors of l(w)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-3))\/((16\/600)\/((-6)\/(-9))).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 u when four letters picked without replacement from tttttttttttutttttttt.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 2 + 108. Suppose -2*f - 3*f = -5*x + 60, 0 = 3*f + 4*x + 29. Let c be (-2)\/f + 4352\/22. Calculate the greatest common factor of z and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 0 + 0 + 4 + (-1 + 5 + 0)*(2*j + 0*j - j))*(11 - 2 + 5).\nAnswer: 70*j + 56","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 247076659 to the nearest integer?\nAnswer: 627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 9*p**3 + p**2 - p. Suppose q + 1 - 2 = 0. Is 9 a factor of s(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -64*k + 16. Let o(w) = -13*w + 3. Let c(r) = -2*f(r) + 11*o(r). Let t(b) = 26*b + 103. Let j be t(-4). Give c(j).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -108, -206, -304, -402, -500?\nAnswer: -598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.21 - 1.21. Which is the closest to z? (a) -2 (b) 1 (c) 3 (d) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/19110 and 229\/106470.\nAnswer: 745290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.11 - 12.11. Let u = -105 + 105. Which is smaller: u or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12911197?\nAnswer: 13, 993169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -115*d**2 - 65*d + 458. Let l(h) = 58*h**2 + 30*h - 229. Let r = -419 + 432. Let y(i) = r*l(i) + 6*x(i). Find the first derivative of y(f) wrt f.\nAnswer: 128*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 3*n - 14 = -a, 0 = -2*a - 2*n + 14. Suppose -6*s = -5*s - a. Let c(m) = 1. Let p(w) = -w**2 + w. Let h(r) = -2*c(r) + p(r). Give h(s).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4*(63\/(-33) + 2). Let o = f + -42\/55. Which is the biggest value? (a) o (b) -1 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -15 - ((37 - (28 + -12)) + -2 + -12).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7619 and 3208?\nAnswer: 60952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 575 not equal to 575?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00286670603 to five decimal places.\nAnswer: -0.00287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468)*2*-6 - ((sqrt(468) - sqrt(468)*-4)*1)**2) + -4 + ((sqrt(52) + 2 + sqrt(52))**2 + sqrt(52) - (sqrt(13) + sqrt(13) + sqrt(1573)*2)).\nAnswer: -11492 - 78*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -1822*g + 85. Let b(s) = 910*s - 52. Determine -3*a(p) - 5*b(p).\nAnswer: 916*p + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - -1) + (-957040 - 7). Let l = q + 33157044. What is l rounded to the nearest 1000000?\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 2*c - 3*c + 7, 0 = 3*m - 4*c + 20. What is the common denominator of ((-4)\/18)\/(m\/(-262)) and 95\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 8:43 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 15 (b) 0.9 (c) 2\/7 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -0.717, 0.13?\nAnswer: -0.717","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -14977992 and -242.6.\nAnswer: -14978234.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4217, -7065, -9891, -12695, -15477?\n\"Answer: 11*r**2 - 2881*r - 1347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 36\/(-45) - 2\/10. Let h be (-6)\/(-10) - 65\/25. Is h not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ezzmzzzezz. What is prob of sequence zzm?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -121, -248, -379, -514, -653?\n\"Answer: -2*q**2 - 121*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2555 is divided by 26.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*c + 3*c + 2*c + 3*c + 2*c - 3*c + (-3 + 0 + 2)*(-2*c + 2 - 2) - 961*c + 127 - 44 - 83 in the form v + w*c and give w.\nAnswer: -956","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 627*j - 12444. What is the least common multiple of 62 and c(24)?\nAnswer: 2604","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(175\/(-60)) - -3)\/(1878\/(-247270)).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(396) - (sqrt(396) + 1)))**2 - ((-1 + sqrt(396))*6)**2) + ((sqrt(11) - sqrt(22)\/sqrt(2))*3 - sqrt(11)) + -4 + -4.\nAnswer: -14284 + 431*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209356 is divided by 973.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(18) + -1)*-6 - (sqrt(18) + sqrt(54)\/sqrt(3) + 0)) + -4*sqrt(90)\/sqrt(45) - 3*(sqrt(1800) - 3*-1*sqrt(1800))*-6)**2.\nAnswer: 25584*sqrt(2) + 9090884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/2 - 264*n.\nAnswer: -n*(n + 528)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -3*x + 4*m, -3*x + 3*m = 280 - 301 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -45*p**2*y**4 - 254*p**2 with respect to y.\nAnswer: -180*p**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 5 = -o, -s - 4*o - o = 25. Let y be (s + 5)*18\/(-30). Which is greater: 1 or y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeerrreerwemrec. Give prob of sequence wc.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j - 3*j + 6*j)*(2 + 2*j - 2)*(5 + 0 + 4)*(9*j**3 - 4*j**3 - 3*j**3).\nAnswer: -72*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 7) to base 11\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 4*l**2 + 7*l + 12. Calculate j(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/20 - 18\/5. Let s(l) = -6*l**3 + 7*l**2 + 4*l - 7. Is s(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 961.3945 litres to millilitres.\nAnswer: 961394.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4b1 + -9?\nAnswer: 4a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -52053*v + 1249275. Give y(24).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.8 + 0.7. Let k = 1.9 - l. What is the smallest value in -5, -2, k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + x**2 + x + 1. Let r(t) = -14*t**4 - 5*t**3 - 5*t**2 + 17*t - 5. Let y(w) = -5*i(w) - r(w). Find the second derivative of y(u) wrt u.\nAnswer: 168*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/5 + 31069912*r\/5 - 120667428960968\/5.\nAnswer: -2*(r - 7767478)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of -63*n**5\/20 + n**3\/2 + 3*n**2\/2 - 33*n. Let r be z(-1). Let j = -9 - -51. Calculate the highest common divisor of j and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 7*c**2 + c. Suppose -2*r - 2*r = 4*g - 32, -3*r + 14 = g. Suppose g*u - 1 = 4. Is 8 a factor of a(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281339 is divided by 86.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**3 + 512*d**2 + 66548*d + 258064 = 0.\nAnswer: -254, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/8*2)\/(-1)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 + 192. Suppose 0 = f + 2*f - q. Suppose w - 5 = 2*n + 15, 1 = n. What is the greatest common factor of w and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71385659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 881623317.\nAnswer: 3, 293874439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44625 and 4641.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, -0.7, 4, -5, 1\/4, 0.6.\nAnswer: -5, -0.7, 1\/4, 0.6, 4, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 9, 3, 2, -5 in increasing order.\nAnswer: -5, -3, 2, 3, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 68051 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: Convert -31 (base 4) to base 14.\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 3*n + (2*n - 5*n + 4*n)*(1 + 1 - 1) - 6*n - 2*n - 3*n.\nAnswer: -7*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-792)\/90)\/(90\/(-225))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4180093?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**5 - t**5 - 3*t**5 + (1 - 1 + 2*t)*(t**4 + 0*t**2 + 0*t**2) + (-t**4 + 3*t**4 - t**4)*(-4*t + 0*t + 5*t).\nAnswer: 2*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6892586.1 microseconds to hours.\nAnswer: 0.00191460725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(1\/3))**(-11\/7)\/((v**9*v)\/(v**(-1)*v)) assuming v is positive.\nAnswer: v**(-254\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 168\/11, -4, -2177, -3, 3\/5 in increasing order.\nAnswer: -2177, -4, -3, 3\/5, 168\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14\/6*(-19)\/133. What is the smallest value in j, 0.1, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -5. Suppose 2*s - 7*s = 5*a - 90, 2*s - c*a - 15 = 0. Suppose 2*p = -y - 6, 0*y - 2*y + s = -5*p. Solve -2*u + 0*u = y for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-3*sqrt(19) + 4)*-1 - ((1*sqrt(95))\/sqrt(5) - 6*sqrt(95)\/sqrt(5))).\nAnswer: -16*sqrt(19) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -50520511 (base 6) to base 9\nAnswer: -2636127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 605 and 3052709.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -141747, -139331, -136911, -134487?\nAnswer: -132059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 82612.29 kilograms?\nAnswer: 82612290000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -5*m + 1453 + 428, -1937 = 2*h + 3*m. Is -954 bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 1680 - 1540 = 0. Solve -5*l - 12 = 5*w - 7*l, 4*l + f = -w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a day in hours?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 5048800 to the nearest 100000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/13 + (-96)\/52. Suppose -8 = 4*x + 4*h, 0*x = -x + 4*h + 8. List the prime factors of t + (16 - x\/(-3)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, -92, -207, -410, -725?\nAnswer: -1176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**2 - 42*z**3 + 8 + 54*z**4 - 14*z**3 + 55*z**3 - 146*z**4 in the form j + s*z**3 + o*z + g*z**2 + i*z**4 and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let z be 16 + (-1)\/(-7)*(-71 - -64). Solve 7*p - 2*p = z for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b - b + b + 0*b - b + 3*b + (2 + 3 - 3)*(-2*b + 2*b - 2*b) + 0*b + 3*b - 4*b + 23*b - 8*b + 30*b.\nAnswer: 41*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2*sqrt(11)*3 + sqrt(11))**2 + 1 + (sqrt(11) - (-2 + sqrt(1584) + sqrt(1584))) + (-2*sqrt(275))**2.\nAnswer: -23*sqrt(11) + 1643","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 4*w - 5. Let h be s(5). Suppose -5*d + 45 = -5*j, 0 = -2*d - 2*j - 6 + 44. Let q be (-936)\/(-585)*(-180)\/(-96). Solve h = -q*x - 1 - d for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1631061 + 1369177 + 242630 = 28372*v - 558980 for v.\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = a - g, 0 = -6*a + a - 4*g + 39. Suppose -1 = 2*c - a. Suppose c*x = -3*o + 2*o - 12, -o - 22 = 5*x. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 16697, 24244, 31791?\n\"Answer: 7547*r + 9150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 7*i**2 + 6*i. Determine v(-8).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.16441 millimeters in meters?\nAnswer: 0.07316441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4596, 4598, 4600, 4602, 4604?\n\"Answer: 2*x + 4594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3251 * 0.07.\nAnswer: 227.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 25522591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 23408312, 23408311, 23408310, 23408309, 23408308, 23408307?\n\"Answer: -p + 23408313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - 6*u. Let w be b(7). Let k = w - 5. Suppose k*j - 1 = 13. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2396809969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 18 + 0 = 0. Suppose -l = -2*i + z, -2*l - 4*i - 1 = -21. Suppose -l*y - 2 = -30. Is y a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 8 + 28. Suppose -12 = -4*z + 3*b + 1, 4*z - 4*b = 12. Suppose z*y - a = -2*j, -6*y + 4*j + 12 = -2*y. Sort -3, y, 0 in decreasing order.\nAnswer: y, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/4 and (-2)\/16 - (-2)\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*k = -57*k - 9. Let y(p) be the third derivative of 2*p**2 + 0*p + 1\/12*p**5 + 0*p**4 + 0*p**k + 0. Let h(z) = 3*z**2. Calculate y(h(n)).\nAnswer: 45*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 790*a - 18642. What is the ten thousands digit of b(77)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 764606 divided by 6?\nAnswer: 382303\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247614?\nAnswer: 2, 3, 41269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 6\/7 (b) -4\/5 (c) 20 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -92430*l - 1. Let a be f(-6). Let q = a - -1485421. What is q rounded to the nearest 100000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**4 + 2*x**5 - 2*x**4 + (-x**4 - x**4 + 4*x**4)*(-2*x + 4*x - x).\nAnswer: 4*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 9194 divided by 1460\nAnswer: 4597\/730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 68290 to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, a: 1, i: 1, m: 2, y: 1, b: 3}. What is prob of picking 1 y and 1 a?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 2*a - 107 = -k, 5*k = -25. Let z = a + 44. What is the tens digit of (294\/z)\/(1\/(-4))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tm when two letters picked without replacement from {t: 3, m: 9}?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5*0.04694057\nAnswer: -0.23470285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20653*y - 93665 - 139934 - 39856 + 66925 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -5*j**2 - 2*j - 1. Let m be (-4)\/(-18) - (-100)\/36. Let v be (m\/4)\/((-4)\/(-16)). Let a = v + -4. What is y(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -0.5 (b) -1.57 (c) -8 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - ((-728)\/(-24))\/13.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 343*s - 5146. What is c(-16)?\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 10:56 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 80\/(-510)*(-33)\/44?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-64)\/(5\/(((-1)\/3)\/((-18)\/270)))?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**2 - 2*z**2 + 3*z**2 - 2*z - z**2 to the form f + h*z + s*z**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of 0 + 3*u - 1\/24*u**4 + 0*u**3 - 59*u**2. Let b(m) = -377*m. Give b(g(j)).\nAnswer: 377*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (116 - -1) + (4 - 4)*1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (4 - 6) + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, k: 1, w: 6, l: 10, a: 2}. Give prob of sequence aakw.\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 115*g**2 - 12965*g - 3390.\nAnswer: 5*(g - 113)*(23*g + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**3\/v)**(9\/10)*(v**(-2\/11))**(1\/21) assuming v is positive.\nAnswer: v**(2069\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*f - 10*f - 14*f + 41*f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of -7*u**5\/20 + u**4\/12 - 77*u. Let n(d) = d**3 - d**2. What is -3*n(c) - y(c)?\nAnswer: 4*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2541777 (base 8) to base 13.\nAnswer: -1b919c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 21. Let k(v) = 8*v - 1. Let j(i) = -i + 1. Let w(h) = j(h) - k(h). Calculate the smallest common multiple of w(-2) and t.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3*b - 9 = 0, -3*m + 2*b - 3*b = -3. Solve m = z + z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*sqrt(95)*3*6)\/((sqrt(70)\/(sqrt(2) + sqrt(18)))\/((sqrt(70)\/sqrt(2))\/sqrt(5) + sqrt(7) - sqrt(7))).\nAnswer: 288*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**3 + 0*w + 0*w + (4*w**2 + 2*w**2 - 5*w**2)*(-2*w + 0 + 0) + w - w**3 - w.\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -9*n**2 + 400*n. Let p(y) = -9*y. Give z(p(t)).\nAnswer: -729*t**2 - 3600*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 + 10 = 2*j - 2*b, 0 = -3*j - 3*b + 33. Let p = 108 + j. What are the prime factors of p?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 3*b - 0*b - 5*j, -3*b = -2*j + 16 + 21 - 22 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11330 is divided by 1399.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 121807127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47 + 53 - 94 + 9*k)*(-52*k + 2*k + 7*k).\nAnswer: -387*k**2 - 258*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do -60 and -55 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -19 (c) -245.42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1325?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 3:11 PM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 323\/4 - 321\/4. Suppose 11 = -c - 5*p, -p - 1 + 14 = 4*c. Sort m, -0.3, -2, c in descending order.\nAnswer: c, m, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -363 - -367. Suppose -4*n = -4*r - 14868, 0*n + v*n + 4*r = 14884. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a millennium in years?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1030 + -514?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) 2 (b) -11 (c) 0.1 (d) -8 (e) -48 (f) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 2 = 2*f. Suppose 4*v = -v + 25. Suppose -v*u = -3*y - 8, -2*u - 2*u + 28 = f*y. Solve j - 5*p = -u*j - 40, 0 = -4*j - 5*p - 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 + -2 - 0) + 1. Suppose -t = -5*u - 25, t + y*u = -0*u - 10. Suppose 4*r - 92 = -t*r. What is the remainder when r is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -47 + (-48 - -26) + 119.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-14)\/588)\/(-1)?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**3 + 2*d**3 + 0*d**3 + (0*d - 4*d + 2*d)*(d**2 + 2*d**2 - 2*d**2))*(d + 6*d + d).\nAnswer: 16*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3\/2 - 6145*d**2\/2 + 3075*d.\nAnswer: -5*d*(d - 1)*(d + 1230)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 132 - 129. Let c = 0.56 + -1.06. Sort 0, c, j, 9 in increasing order.\nAnswer: c, 0, j, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 759452 to the power of 1\/4, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, x: 2, q: 1}. Give prob of picking 2 w.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -1. Let k = 8 - b. What are the prime factors of k + 34 - -3 - -1?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84\/(-588)*-14*2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-16) - (-407)\/(-88).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-34) - (-728411)\/(-34493)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 4*g - 38, -199*s + 195*s + g = -19. Let t(w) = 5*w - 35. Give t(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 + 133 = -k. Sort k, 1, -1, 4 in decreasing order.\nAnswer: 4, 1, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -4\/3*u**3 + 5*u - 3\/2*u**2 + 0. Differentiate l(q) wrt q.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/24410 and 107\/20?\nAnswer: 48820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-68 - 0)*(-35)\/168 and -61\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a kilogram in grams?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 - 23. Calculate the lowest common multiple of 9 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 85\/96 - -85867\/96. Which is smaller: 894 or x?\nAnswer: 894","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 255 and 3315.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -267, 1.6, -3, -9, 287, 0.1, 4 in descending order.\nAnswer: 287, 4, 1.6, 0.1, -3, -9, -267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 364250 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of d**6\/120 + d**5\/15 - d**4\/24 - d**3\/6 + d**2. Let y be v(-4). Let l = 0 + 0. Solve l = -y*z + 3 + 3 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**6*z*z*z**(4\/7)*z)**(-14\/15) assuming z is positive.\nAnswer: z**(-134\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 3:28 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 2502*k**2 + 2500*k**2 + 5*k**3 - 2*k**3.\nAnswer: 3*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -1931754*a. Let k(q) = 4*q. Calculate z(k(o)).\nAnswer: -7727016*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + -38. Let l = u + 19. Do 3\/7 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/17, -38, -3, 0.1?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g**2 - 147*g + 439. Does 7 divide s(-47)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, 1\/6, 0.028, 5, -5 in descending order.\nAnswer: 5, 1\/6, 0.028, -5, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 8 = 28. Suppose -240 = 3*g + g + 3*l, 0 = -g - 5*l - 77. Let b = 62 + g. Calculate the remainder when h is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -112? (a) 4 (b) 2 (c) 1\/5 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -18*t + 896. Determine h(51).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -77 or -179?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198815 is divided by 405.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 89 - 7?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0, 72772, 2 in decreasing order.\nAnswer: 72772, 6, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2*v - 4 = -v, 2*v = -m + 10. Suppose 3*g + 3*f - 12 = 0, -3*f - 7 = -2*g + m. Put -5, g, 4 in increasing order.\nAnswer: -5, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of z**6\/6 - 14*z**3 - 61*z**2 - 48. What is the second derivative of c(l) wrt l?\nAnswer: 20*l**3 - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1088 + 6861?\nAnswer: 5773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c02b (base 15) in base 7?\nAnswer: 526535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(162) + -1 + -3)**2 + sqrt(162))*2 - (sqrt(162) + 1 - sqrt(162) - sqrt(162))**2*1*-1)*6.\nAnswer: -864*sqrt(2) + 3114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 615 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 5*c = -13, 0 = -5*g + 3*c + c + 49. Let d be (-245)\/(-9) - 2\/g. Let m = -14 + d. List the prime factors of m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 143.6 + -144. What is the third smallest value in f, -3, -1, 0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -81660 greater than -81646?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11558 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 15281?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 17 = 13*y. Let q(r) = r. Let g(m) = 2 - 5*m - 7*m + 7*m - 7*m. Determine y*g(z) - 10*q(z).\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 156, 277, 400, 525, 652?\n\"Answer: i**2 + 118*i + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**3 - 12*y**2 + 3*y - 8. Let b be u(-10). Let g be 1\/(((-1)\/(-2))\/((-140)\/(-8))). Let c = b + g. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-0.100617.\nAnswer: 0.0402468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.422, 3, 4?\nAnswer: 0.422","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.01 and -58.7?\nAnswer: -0.587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 48 = 2*f. Solve k + 2*z - 6 + 0 = 0, -f = -4*z for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r + 3. Let n be z(-5). Let f = 65674 - 65674.3. What is the third smallest value in f, n, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/2*((-56)\/(-26))\/(-7).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(1\/2))\/m)**(6\/19))**(-19\/3) assuming m is positive.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 726771.1 hours in milliseconds?\nAnswer: 2616375960000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 137*13214\nAnswer: 1810318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2178 (base 10) to base 3.\nAnswer: 2222200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -19*d + 19. Suppose 5*y + 3 = -12, -21 = 2*p + y. Let z(w) = -5*w + 5. Let r(t) = p*z(t) + 2*j(t). Let i(l) = 15*l - 15. Give 6*i(q) - 13*r(q).\nAnswer: -q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.00646478 and 1.\nAnswer: -0.00646478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -56, 1, -174, -1, 0, 11 in ascending order.\nAnswer: -174, -56, -1, 0, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 AM and 9:55 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a millennium in years?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8973*k**3 + 7*k**2 - 8*k + 71 wrt k.\nAnswer: -53838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 12*c = 1341. Is c a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(270\/5)*2\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5113.58ml to litres.\nAnswer: 5.11358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -808 (base 12) to base 9.\nAnswer: -1528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*r**3 - r**2 + 53*r wrt r.\nAnswer: -12*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 135405403*p**2 + 565309911*p wrt p.\nAnswer: 270810806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ilxv when four letters picked without replacement from {i: 3, v: 1, l: 9, x: 5}?\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4\/7*j**3 + 4\/7*j**4 - 2\/7*j - 8\/7*j**2 + 4\/7 - 2\/7*j**5 = 0. Calculate j.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 236065, 472047, 708029, 944011?\nAnswer: 1179993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(448) + (0 + sqrt(448))*-2)**2.\nAnswer: -2688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n + 5*n - 2*n)*(-45*n**2 - 21*n + 9*n**2 + 21*n).\nAnswer: 72*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 979289.4 centuries in decades?\nAnswer: 9792894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, -9\/119, -6, -2.3, -2\/3?\nAnswer: -9\/119","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 7:44 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2 - 5 + (0 + 0 - 11)*(-3 + 4 - 13))*(2*a - 4 + 4).\nAnswer: 268*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(70\/(-5)))\/(6127\/5875793)\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*c - 30 - 36 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -12. Let k = p - 0. Which is the third biggest value? (a) -0.1 (b) k (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5 - 12 - 187*m - 95*m**2 + 17 wrt m?\nAnswer: -190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -3, 1\/41?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-42)*(-63)\/30.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24.6 in -1\/11, -2, -0.2, -1\/17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5 - 3) + 1*2. What is the remainder when (2 + -11 + -1)*-4 is divided by 58\/b + (-3)\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -20. Let q be (6\/f)\/((-6)\/27). Sort 4, q, 5 in decreasing order.\nAnswer: 5, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.03 (b) 2\/11 (c) 3 (d) -4.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 13 - 5 - c - 3*c**4 to o*c + w*c**3 + l*c**4 + y + v*c**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -4*t**2. Let b be z(1). Let u(v) = -v**2 - 6*v - 3. Let a be u(-4). Suppose -3*i + 2 = -4*i. Sort a, b, i in decreasing order.\nAnswer: a, i, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12782*s - 3120*s + 3200*s - 294152 = 246052 for s.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -5326?\nAnswer: -5334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 5:32 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6887 is divided by 168.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*(3*g**2 + 0*g**2 - 6*g**2) + (-g - 3*g + 2*g)*(-g + 4*g - g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 408 by -1.\nAnswer: -408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 344 - 1721. Let d be (3 - g)*(-12)\/(-8). Suppose -d = 2*w - 0*w - 5*y, w + 2*y + 1026 = 0. What is w rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1443854056?\nAnswer: 2, 83, 2174479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 1.4. Let t = w - 1.60001. What is t rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -4. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -2 + 3 + -2 + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 74 = -10. Let r = h + 128. Suppose -r + 8 = -k. What is the highest common divisor of 24 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.9 - 5.832. Which is smaller: q or 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 10*d - 4. Let m(y) be the first derivative of y**3\/3 + 3*y**2\/2 - 3*y + 1. Determine m(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) -2412 (c) 4 (d) -1 (e) 0 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**2*y*y**2*y**(-1)*y**(-4))**(-38) assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -20) + (1\/26)\/((-480)\/(-237120)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 566.744 and 10109.6.\nAnswer: 10676.344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 8 = 4*p + 6, -5*s + 5*p + 25 = 0. Let g(w) = w**2 + w - 2. Let x be g(s). What is the highest common factor of 2 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*z**3 + 16*z**2 - 6*z.\nAnswer: -2*z*(z - 1)*(5*z - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.11 times 22477\nAnswer: 2472.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - s - 1 = -2, 5*o + 3*s = 3. Suppose j - 18 = -3*l - 5, o = -3*j - 4*l + 39. What is the first derivative of 49*k**3 - 4 - j*k**3 - 8 - 2 wrt k?\nAnswer: 108*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*m - 231 = 2*m. Let i(k) = -3*k**2 + 15*k - 47. Let z(g) = g**2 - 5*g + 16. Let n(x) = 6*i(x) + 17*z(x). Give n(m).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*b**2 + b**2 - 5*b**2)*(-385 + 163*b + 385) in the form t*b + n*b**3 + k*b**2 + o and give n.\nAnswer: -326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1884 (base 15) to base 10\nAnswer: 5299","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {e: 2, i: 3, c: 2, s: 1, f: 6, k: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*y + 3 = 0, 0 = 4*d + 5*y - 7 + 2. Suppose 3*x = 4*s - 10, -5*x + 13 - 3 = d. Solve g - s = -1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -254\/65?\nAnswer: -254\/65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -45*w**2 - 28*w + 99. Let g(d) = -9*d**2 - 6*d + 21. Let u(m) = -11*g(m) + 2*n(m). Let p be (-3)\/((9\/4)\/(-3)). What is the hundreds digit of u(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 11:52 AM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -5*j**2. Let x be (-3)\/(-6) - (-3)\/2. Let w(p) = p**2 + x*p**2 - 2*p**2 + p**2. Give w(t(i)).\nAnswer: 50*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p**5 - 1568*p + 54*p**2 + 2*p**5 + 2*p**3 + 1569*p + (-3 + 3 - p**2)*(-2*p - 2*p**3 + 2*p) + 0*p**5 - 2*p**5 + 3*p**5.\nAnswer: p**5 + 2*p**3 + 54*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6694384 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/2 + 1\/(-1)*648. Let q be (-4)\/(-5) + n\/660. What is the nearest to 7 in q, 3, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((1*sqrt(432) + 3)**2 - ((sqrt(3) - (-1 + sqrt(192))) + 3)))*2.\nAnswer: 158*sqrt(3) + 876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*l + 0*l + 2*l)*((4*l - 4*l + 3*l**2)*(-l + 2 - 2) - 3*l**3 + 5 - 5 + 2*l**3 + 0*l**2 + 0*l**2) + 12 - 2*l**4 - 12.\nAnswer: 30*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1300) + 0 + -2 - (sqrt(1300) + 2 + -5 + -3))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of c*l**2 - 2*c*l - 39*l**2 - 4 wrt c?\nAnswer: l**2 - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97655 is divided by 95551.\nAnswer: 2104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 295, 628, 1191, 1990, 3031, 4320, 5863?\nAnswer: 7666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311199 is divided by 3617?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/26 and 3\/12 + (687\/28)\/(-3).\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*g = -183*g + 29. Solve -4 = 5*k + 3*u, 2*u = k - 6 - g for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3 = 0, 0 = 4*i + 3*b + b - 4. Let u be (6\/5)\/((-2)\/(-5)). Find the third derivative of -3*p**2 + 2*p**2 - 3*p**u + i*p**2 wrt p.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-8)*-9*(-92)\/(-621)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/524 and 91\/1310.\nAnswer: 2620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -916, -5, -1, -16 in decreasing order.\nAnswer: -1, -5, -16, -916","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -836*p - 356 = -747*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -5*c**2 - 5*c - 6. Let d be p(-2). Let o be (1 - 3)*2\/d. What is b in o - 3\/4*b**2 + 0*b - 1\/2*b**3 = 0?\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 r when four letters picked without replacement from xrxmexdxuurerxrxex?\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p + 3*k + 7, 3*p = -5*k + 7*k for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 - ((-47789)\/105 - 4\/(-30)). Let k = d + -236. Does 14 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttttttttqt. Give prob of sequence tqt.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*m - 4*n - 3, 16 = -4*m - 5*n. Let q = m - 1. Let f be ((-5)\/180)\/(27\/8 + -3). Is q < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and 26.39.\nAnswer: 26.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -z**4\/4 + 459*z**3\/4 + 116*z**2 - 459*z - 460 = 0?\nAnswer: -2, -1, 2, 460","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -53 + 108 + -21 + 11?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -39\/4, 5, 23?\nAnswer: -39\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j*j\/(j**(-1\/2)\/j))))**(-28)\/(j**(-12)\/(j**(-3\/10)\/j)))**(-3\/7) assuming j is positive.\nAnswer: j**(2619\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/((-1050)\/(-30)))\/(2\/(-1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 258 + -234. Suppose -j = -318*i + 310*i. Factor -48\/13*c - 32\/13 - 18\/13*c**2 - 2\/13*c**i.\nAnswer: -2*(c + 1)*(c + 4)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/(15 + (-283935)\/18930) is divided by 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51, -411, -1349, -3153, -6111, -10511, -16641?\nAnswer: -24789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 361638 = 29*j + 291340 - 2849799. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 818 + -2476\/3. What is the common denominator of s and -67\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17388, 69744, 156996, 279144?\nAnswer: 436188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 736 - 2352 = 367*l + 6091 for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 3 - 9. Suppose -2*s + 70 + l = 0. Is 1\/3 - s\/(-3) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 12:01 AM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.5, -540409, -2\/31 in ascending order.\nAnswer: -540409, -2\/31, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11422, 11416, 11408, 11398, 11386, 11372, 11356?\nAnswer: 11338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 5*x - 150, -4 + 10 = -p - 5*x. Let a = p - -89. Does 21 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 3*a**2 + 3*a. Let u be v(-2). Calculate the common denominator of (-5 + u)*(-8)\/7 and -38\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4422*i**2 - i**3 + 4422*i**2 - 6*i**3.\nAnswer: -7*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 9:23 AM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2071 take away 33?\nAnswer: -33.2071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.61 + -25.39. Let m = 25.99999923 + o. Round m to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8, 23, 72, 173, 344, 603?\n\"Answer: 3*l**3 - l**2 - 3*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, q: 2}. Give prob of picking 2 q and 1 g.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 296158929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19242 - -19242.009619. What is w rounded to three decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4800, 19223, 43276, 76971, 120320, 173335, 236028?\n\"Answer: 2*f**3 + 4803*f**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5731420 divided by 4.\nAnswer: -1432855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 - (-12 + 14 + -4) - -6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hedehhe. What is prob of picking 1 h, 1 e, and 1 d?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39127.\nAnswer: 11, 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 6*o**2 - 3*o - 5. What is the hundreds digit of f(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a millennium in months?\nAnswer: 57000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -51, -61, -57, -33?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68443*s = 34507*s + 34460*s + 53448 for s.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000017794 rounded to 7 dps?\nAnswer: -0.0000178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b - 16. Suppose 0 = -h - 4 + 6. Suppose x + x - 11 = -5*n, h*x = 3*n - 29. Let t be g(x). Solve -m - 8 = -5*w, t*m - w = -3*w + 14 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of 563*y**4\/3 + 511*y**3 + 2117*y. Find the second derivative of g(p) wrt p.\nAnswer: 4504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 9) in base 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4669373 + -2?\nAnswer: 4669371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + u + 15. Suppose -u*k = 2*k - 335. What is the remainder when k is divided by 682\/40 + 40\/(-800)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 8 (b) -0.1 (c) 0 (d) 26 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25711, 25743, 25805, 25903, 26043, 26231?\nAnswer: 26473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 12803640 to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*l + 1. Suppose 0 = -4*g + l*g - 3. Sort 5, -5, g in descending order.\nAnswer: 5, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 520 and 23972?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23548 + 23582. Let a be (-2)\/5*4\/12. What is the second smallest value in -1\/7, v, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**3 + 4*b**2 - 3*b - 7. Let d(v) = -v**3 - v**2 + 1. Let i(x) = d(x) + y(x). What is i(-4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 113.252904 microseconds?\nAnswer: 0.0000000013107975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/(sqrt(48)\/sqrt(2)) + (sqrt(132)\/(2*sqrt(12)) - (2*sqrt(704) + sqrt(704) + sqrt(11))))**2.\nAnswer: 6336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -147 + 295. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1369394?\nAnswer: 2, 13, 31, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 150*h - 146*h + 669520, 7*h = 4*j - 669517. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 7) in base 15?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 11*g + 7. Let p be c(9). Suppose -6*w = -11*w + p. Suppose h - w*h + 812 = 0. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) 1\/95 (b) -4\/9 (c) 3\/8 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 65, 71, 63, 35, -19, -105, -229?\nAnswer: -397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3*-4)\/(-2)*(-6)\/9. Let f = 218\/3 - 72. What is the second smallest value in -1\/4, b, f?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7145342 and 2036.\nAnswer: 1018","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 62*f**2 + 9*f**2 + 93*f**2 + 4*f**2 to i*f**2 + r*f + z and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, 0.1, 7\/5, 31.\nAnswer: -0.02, 0.1, 7\/5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.026 and -0.2.\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -158425851 + 158619495.963. Let b = -193737 + r. Let j = b + 92. What is j rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-28))\/(6\/16)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 105\/14536 and 123\/454480?\nAnswer: 35903920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*k + 7*k - 3*k - 125.\nAnswer: -4*k - 125","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/234 and -16\/33.\nAnswer: 2574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124306 is divided by 60887?\nAnswer: 2532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 11:52 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4034735861?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 347*h + 157*h = 21134 + 3562 for h.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 4*l + 16, 0*q + 2*q - 2*l = 22. Let g be q\/(-12)*16\/(-60)*-3. What is the nearest to 1\/4 in -5, -3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4406 - -4405 - (2 + (-103 - (2 + -1 + 1)))?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 60*d**2 + 32*d + 16. What is w(0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 3:55 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/154350 - -88201\/154350. Let p = -0.8 - -0.56. Let f = p - -0.2. Which is the nearest to 6? (a) f (b) r (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 7*j**2 - 8*j - 11. Let p(c) = -3*c**2 + 4*c + 5. Suppose -5*q - 6 = 4. Let o(s) = q*r(s) - 5*p(s). What are the prime factors of o(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18172*g + 18173*g = 234. What is the least common multiple of 286 and g?\nAnswer: 2574","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 12*b**2 + 17*b - 49. Let x be f(11). Let u(s) = s**2 - 8*s + 9. Let w be u(7). What is the second derivative of -5*g + x*g**w + 37 - 37 wrt g?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98827.\nAnswer: 37, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3 + 7 = 0. Suppose -5*b + r*z = -7, -4*z + 5 = -b - 0*b. Determine p, given that -5*p**b + p**2 + 25 + 55*p + 10*p**3 + 34*p**2 = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (12 + -10 - 9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 0*w - 15 = 0. Suppose 0 = 4*r - 8*y + w*y - 1037, 0 = -r + 3*y + 248. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.1 (b) -2\/15 (c) -71 (d) -3\/4 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 292\/31 - -5\/62. Calculate the common denominator of q and 51\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/4, 0.3, -1652629?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - sqrt(76)\/sqrt(4))**2 + 2 + 4 - (sqrt(190)\/(6*-1*sqrt(10)))**2) + ((5*sqrt(76)*-1)\/(-1*sqrt(144))*-6)**2.\nAnswer: 17297\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -341519 divided by -1049\nAnswer: 341519\/1049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 9\/25 of a microsecond?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (144638\/(-52) + 11)\/((-6)\/8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 4*a**3 + 22*a**2 - 19*a + 9. Let z(o) = o**3 + o**2. Let c(b) = t(b) - 5*z(b). Suppose 35*d + 42*d = 490 + 665. What is the tens digit of c(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3547707690 to the nearest integer?\nAnswer: 1525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 + (3 - 8) + (14 - (-17 - -29)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 33\/((-693)\/(-1010)) + 2\/(-21)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*x - 957 + 873 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 123 = -j, -2*j + 2*a + 349 = j. List the prime factors of j.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 117 = -125 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**2. Let r be (2 - (-4 - -2))*1. Let x(t) = 0*t - 2*t - r*t + t. Calculate d(x(h)).\nAnswer: 50*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1324\/31 + 27095\/744. Calculate the common denominator of m and -43\/20.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 a when four letters picked without replacement from {x: 8, t: 2, a: 3, g: 4}.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 12*s**2 + 150*s + 272. Give h(-10).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 939?\nAnswer: 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.04222 + -0.0422194253. What is p rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 3*h**3 - 2.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76396 divided by 956.\nAnswer: 19099\/239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 167 + -167.467. Let d = -0.4670379 - i. Round d to 6 decimal places.\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 3*k**3 + 393*k**2 - 807*k - 1197 = 0.\nAnswer: -133, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/37641 and -73\/75282.\nAnswer: 75282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3368 = 23*h - 10751. What are the prime factors of h?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -1\/10 (c) -2 (d) 105\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 8*u - 5. Let q be x(7). Let l be 4 + 3\/(q + 1). Suppose 96 = l*z - z. What is the greatest common factor of 3 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + (-48 - -71) + -22 + (-57 - -1)\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -152, -70, 28, 142, 272, 418, 580?\nAnswer: 758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 55 + -10. Let s = t + 43. Calculate the highest common divisor of s and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-1)\/((-4)\/16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + -1 - 8\/24)\/2?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 942174?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 122086669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -141*l**6 + 2972*l**3 + 1474*l**2 + 11 wrt l?\nAnswer: -16920*l**3 + 17832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 28680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.581276 seconds to milliseconds.\nAnswer: 7581.276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c + 5*k - 17, -c + 0 = 4*k - 11 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 8*r. Let o(a) = 5294*a. Give i(o(p)).\nAnswer: 42352*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-787220)\/(-28))\/(1\/((-6)\/(-15)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5946*f**2 - 6100*f**2 - 383*f + 106*f - 1440*f wrt f?\nAnswer: -308","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 1 + -11 - (4 + (-2 - 1))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 99 and 594?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2829, 5659, 8489, 11319, 14149?\nAnswer: 16979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -31*z - 1. Is m(-1) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*(-30)\/100*(1470\/18)\/(-7).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 2 + -7 - 3) + 6 + 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188*t - 3317 = 4950 - 2627. Solve 2 + 23 = -4*c - o, -5*c = o + t for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o - 6. Let a be (-70)\/(-60) + 11\/33. Let s(m) be the first derivative of -a*m**2 - 6 - 7*m. Determine -5*l(v) + 4*s(v).\nAnswer: -2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185237553.\nAnswer: 3, 967, 63853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - (-10)\/4*(-56)\/(-35). Solve 0 = -x*b - 2*b - 16 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -5*s - 1. Let o(v) = -v. Let u be 5*(-2 - -3 - 0). Suppose -20 = u*z + 10. Determine z*o(f) + n(f).\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 8*b**6 + 4*b**4 - 4*b**3 - 14*b**2 + 4. Let d(q) = q**6 - q**4 + q**3 + q**2 - 1. Let v(r) = 4*d(r) + y(r). Find the third derivative of v(j) wrt j.\nAnswer: 1440*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -14824 and -14827 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -221740210266 and 0.3.\nAnswer: -221740210265.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3031*c**2 - 439*c - 1218425 with respect to c.\nAnswer: -6062*c - 439","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + 10440\/456 + 2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*i + 61*i - 150 = 0. Factor i*h**2 + 44*h + 38*h - 67*h - 10*h**3.\nAnswer: -5*h*(h - 3)*(2*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4266009 is divided by 694?\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 602 + -580. Let q = 22 - 20. Suppose -q*i - 516 = -6*i. Calculate the remainder when i is divided by k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39.9 + -40.4. Sort 0.02, 2, 4, w.\nAnswer: w, 0.02, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + h + 110, -4*h + h - 34 = -t. Calculate the remainder when 183 is divided by t.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 346858 to the power of 1\/2, to the nearest integer?\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 546671742\/710 - 1\/((-20)\/16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 53?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 1 - -13 - -35.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 8*m**2 - 3*m + 3. Let x be o(4). What is the second derivative of -x*s - 6*s**2 + 22*s**2 + 16*s + 116*s wrt s?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53080260.\nAnswer: 2, 3, 5, 443, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 0*a - a)*(-1128006 + 1128006 + 2392*a**2).\nAnswer: -2392*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 340 and 156586932?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -20. Suppose -5*k + 7*i - 3*i + f = 0, 0 = k - 5*i + 17. Solve j = 3*j - r - 3, 0 = 3*j + r + k for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 4*o + 0*o = -56, -3*p + 62 = -2*o. Suppose p = -5*l, -9 = -4*n + 4*l + 27. Suppose -2*a + 0 = -n*i + 15, 20 = -4*a. Solve -6*h = -5*h - i for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 464767, 463729, 462689, 461647, 460603?\nAnswer: 459557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130263686\/6474 - 2\/39?\nAnswer: 3, 19, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + f = 0. Suppose 30 = 2*c + 3*c - 2*j, 0 = -3*c + 4*j + 32. Suppose 2*b + 0*b = -c. Sort b, f, -1 in ascending order.\nAnswer: b, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -3*i**2 - 13*i - 54. Give f(-11).\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3*f - 23. Determine n(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 13) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 + 17 = -3*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/4)\/(11*(-60)\/110)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 3*u = j + 18, -j - 4*u = 5. Let h(c) = -c**3 + 2*c**2 + 5*c - 4. Let g be h(j). Solve 2*p = g - 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -20411, -20547, -20683, -20819?\n\"Answer: -136*h - 20275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8 and -0.277?\nAnswer: 2.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of 29*t**5\/60 + 2*t**4 - 35*t**3\/3 + 44. Let c(v) be the third derivative of l(v). Differentiate c(k) with respect to k.\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + (-13 - -2))\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 18. Let g(t) = -t**3 - 15*t**2 - 15*t - 13. Calculate the remainder when j is divided by g(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 874 smaller than 874?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 2:24 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-30)\/9)\/((-10)\/(-15)). Sort -3, 0, k in descending order.\nAnswer: 0, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3727297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/75369 and -58\/8547.\nAnswer: 829059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 m when two letters picked without replacement from gggggggmmg.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.49 - 0.02. Let m = u - 0.07. What is the second biggest value in m, 3\/7, 0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of -k**7\/210 - 13*k**6\/75 - 12*k**5\/25 + k**4\/30 + 49*k**3\/30 + 12*k**2\/5 - 3266*k. Factor p(z).\nAnswer: -(z - 1)*(z + 1)**3*(z + 24)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lkottlqa. What is prob of picking 1 o and 1 k?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 8 - 3*c**2)*(21 + 48 - 13).\nAnswer: -168*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.01 or -60051?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1869 + 1869.4. Which is the third biggest value? (a) -0.2 (b) o (c) -2 (d) -360\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/6 - (-66 - -67)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313ba (base 14) in base 12?\nAnswer: 58874","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 4:41 AM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22042349 is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 12. Let v = -11 - u. Let l = 3 - v. Solve -4 = 2*g + l for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138724 is divided by 23118?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005551 to 4 dps.\nAnswer: 0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 534.5224 millennia to months.\nAnswer: 6414268.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -347.8 take away 127901?\nAnswer: -128248.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -1814*z**3 - 2*z**2 + 6*z. Let v(b) = -9070*b**3 - 11*b**2 + 33*b. What is -4*v(n) + 22*x(n)?\nAnswer: -3628*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 3878 divide 2056515034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 - z - 1. Let o(m) be the third derivative of 2*m**5\/15 + m**4\/8 + 13*m**3\/6 + 5*m**2. Let a(p) = 6*g(p) + o(p). List the prime factors of a(5).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - 448*t - 25449. Let s be v(-51). Suppose -2*g - 3*m - 21 = -3*g, -3 = -3*g - 3*m. Solve 11*x - 9*x + g = s for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -687.5699591 + 1397.5700678. Let a = 710 - y. Round a to 5 dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 9601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 d when two letters picked without replacement from ezyzuydnzyn?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -l**5\/10 - 2*l**2. Let x(q) be the first derivative of 3\/2*q**2 - 5 + 0*q. Determine b(x(v)).\nAnswer: -54*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 208, 797, 1720, 2935, 4400, 6073, 7912?\n\"Answer: -7*m**3 + 209*m**2 + 11*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6188\/51*(-192)\/896?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*j + 27 + 38. Sort 24, 4, j.\nAnswer: 4, j, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -4*u + 0 + 2\/3*u**3 + u**2. Is t(4) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**6\/(d**(-1\/2)*d)*(d*d**9*d*d)\/d*d*d**(-10) assuming d is positive.\nAnswer: d**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*o**4 - 1718*o**3 + 11*o + 201699.\nAnswer: 8*o**3 - 5154*o**2 + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 320674 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1 + (-5 + sqrt(1539) + -3 + sqrt(1539) - sqrt(1539)))**2.\nAnswer: -162*sqrt(19) + 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 309, -2, 2 in decreasing order.\nAnswer: 309, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65 + o - 295*o**2 + o**3 - 568*o**2 - 80 + 541.\nAnswer: o**3 - 863*o**2 + o + 526","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2*b - 10 = 0, -b = -2*b - 1. What is the remainder when 14 is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 32587, -3, 1.4, -0.4 in decreasing order.\nAnswer: 32587, 1.4, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3245156983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/4)\/(299\/552)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 4*a + 42, 8 + 0 = 4*a. Suppose -b - k = -61. Calculate the remainder when b is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -8. Let q(u) = 4*u**2 + u + 2. Let j be q(i). Suppose 4*x - 239 = -j. Is x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 213028 + -127559. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/2*1096\/137?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 274670.69.\nAnswer: -549341.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 101 - 96. Sort 8, 2, y, -3 in increasing order.\nAnswer: -3, 2, y, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4 = -0. Let u = 3 + j. Let l be u*(-2 + 8*1). Solve t - l*t = -25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 178 divide 31846336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71159, 142304, 213449, 284594, 355739, 426884?\nAnswer: 498029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 + 26 - x + 5*x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-868 - 210 - 167 + 510)*((2*k + 0 + 0)*(k**2 + 5 - 5) + 2*k**3 - 2*k**3 - 3*k**3) in the form y*k + t + i*k**2 + u*k**3 and give u.\nAnswer: 735","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 501 a factor of 2211915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17375733, 17375731, 17375729?\nAnswer: 17375727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 63 = 179*x - 176*x, 3*k = -18. Solve 0 = -3*z + 3, 5*l - 21 = 16*z - x*z for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (504\/288)\/(6\/(-40)) - -13. Let w(g) = g - 5. Let d be w(5). Factor -s*u + d - 2\/3*u**3 - 2*u**2.\nAnswer: -2*u*(u + 1)*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 27 (b) -1 (c) -2\/163\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011100100 (base 2) to base 7.\nAnswer: 3436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 26\/(-4)*-4*(-51)\/(-6). Let k = u - 1544\/7. Let o = 102 + -2649\/26. Which is the nearest to 1\/4? (a) o (b) k (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**3 - 4*l**3 - 7*l**3)*(2 + 11 + 2).\nAnswer: -105*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*j - 447. Suppose -s = 3*s - j. Is 8 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**3 + 7*b + 6. Let m(i) = 2*i**3 - 6*i - 5. Determine 4*m(x) + 3*w(x).\nAnswer: 2*x**3 - 3*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/4*(4 + -4). Suppose -3*f + f = -n, 3*n + 5*f - 55 = g. What is the remainder when n is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.0978 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -85*q**2. Let j = 177 + -175. Let k(l) = 4305*l**j + 0 - 2 + 2 - 4304*l**2. Calculate p(k(i)).\nAnswer: -85*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f + 3*f**2 + 4*f - 8*f to c*f + g + w*f**2 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001567562 rounded to seven dps?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-4\/9))\/v**(-6\/7)*v\/(v**(3\/7)\/v)*((v\/(v\/v**(-6)))\/v)\/v assuming v is positive.\nAnswer: v**(-316\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5069 or -4569?\nAnswer: -4569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2650351 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6762871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2 - 111*d**3 - 3 - 211*d**3 - 2*d. Is w(-1) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2465 + 1236. Let a = c + 1948. Let x = -718.999294 + a. What is x rounded to five decimal places?\nAnswer: 0.00071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 20*p**2. Let h(q) = 2*q - q - q - 4*q. What is h(a(y))?\nAnswer: -80*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 261.8835t in milligrams?\nAnswer: 261883500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -20222112310 (base 4) in base 16?\nAnswer: -22a5b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 4*x + 21, 4*x + 1 = 5*f + 5*x. Let b be (-128)\/32 - (f - 7). Solve b*p - 10 = -t, 20 - 3 = 5*t - p for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/10 - (-156)\/65. What is the third derivative of 0*x - 8*x**2 + 0*x - 5*x**5 - 2*x**t wrt x?\nAnswer: -300*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1bb787 - e?\nAnswer: 1bb778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6b93 (base 13) to base 11.\nAnswer: -10433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 22666607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, 1, -5, 5 in increasing order.\nAnswer: -49, -5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -51\/83 or 0?\nAnswer: -51\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 8.94505nm?\nAnswer: 0.00000000894505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -153787*w**3 + 4*w**2 + 595529.\nAnswer: -461361*w**2 + 8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8721.516 + -8715. What is g rounded to zero decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (88*g**2 + 2*g**3 - 88*g**2)*(-5 + 3 + 1 + (2 - 1 - 3)*(1 + 2 - 4))*(-3 + 3 - g).\nAnswer: -2*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 15949 divide 4418176627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2033\/1284 + (-8)\/6. Which is the closest to 0.3? (a) d (b) 73 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4284 and 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 11 + 13. Let j(m) = m + 30. Let v be j(-18). Suppose -v*t + 7*t = -240. What is the greatest common divisor of l and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/8 + 243\/20 and -71\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m + 10. Find the common denominator of q(-5) and 65\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -20153 + 26?\nAnswer: -20125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -267*h = -272*h - 15. Let o be (1\/h)\/((-7)\/6). Determine x so that 0 - 2\/7*x**2 - o*x = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -5, 116, 47, -33.\nAnswer: -33, -5, 10, 47, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3951 is divided by 217?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1406596*w**3\/7 - 37323420*w**2\/7 - 17599968*w\/7 - 2056752\/7 = 0 for w.\nAnswer: -138\/593, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f**(-7))*f)\/f**(-4))\/((f\/(f\/(f*f\/f**(3\/4))))\/f**(3\/5)) assuming f is positive.\nAnswer: f**(227\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 4*f - 2. What is t(-5)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 21952, 43904, 65856, 87808, 109760?\n\"Answer: 21952*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 282 and 9.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, j: 3}. What is prob of picking 1 j and 1 z?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10542320 - -22?\nAnswer: -10542254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 2*y**5 - 182*y**4 + 1230*y**3 + 8510*y**2 - 31472*y + 21912 = 0.\nAnswer: -6, 1, 2, 11, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/((-150)\/(-4)) - (-116)\/(-30). What is the nearest to -19 in 3\/8, i, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -2663*t**4\/4 - 2266*t - 704. What is the first derivative of k(a) wrt a?\nAnswer: -7989*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-5))\/z**(2\/13))\/(z**(3\/4)\/(z\/(z*z**3\/z))) assuming z is positive.\nAnswer: z**(-359\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -27793 divided by -14?\nAnswer: 27793\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 74\/(-10))*410\/(-123). Let l = 7 + o. Let f be l\/(-4) - ((-60)\/16 - -4). Calculate the greatest common divisor of f and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 59 + 43. Let l = t - 31. Let -1\/5*a**2 + 0 - 4\/5*a**l + 0*a = 0. What is a?\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3609324, -3609320, -3609306, -3609276, -3609224, -3609144, -3609030, -3608876?\n\"Answer: c**3 - c**2 - 3609324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 54359*n**3*w**5 - 2*n**3*w**3 - 504*n**3*w**2 - 22*n**3*w wrt w?\nAnswer: 3261540*n**3*w**2 - 12*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ninety-five halves of a meter in centimeters?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4+-127412851551755\nAnswer: -127412851551751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -6*b + 3. Determine s(-6).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 0.5 (c) 5 (d) 10.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 15*d + 2. Let g(j) = -j**3 + 2*j**2 + 3*j + 23. Let h be g(4). Let q(x) = -16*x - 3. Calculate h*f(y) + 2*q(y).\nAnswer: 13*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -42*f**3 - 5*f - 30. Let z(b) = -21*b**3 - 3*b - 15. Let l(a) = 3*k(a) - 5*z(a). Differentiate l(d) wrt d.\nAnswer: -63*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9552.35 - 9552.33999986. Let s = -0.01 + k. Round s to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -95*k**3 - 10*k**2 + 855*k + 90.\nAnswer: -5*(k - 3)*(k + 3)*(19*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3229 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2008413\/70 + -28690. Find the common denominator of -99\/188 and s.\nAnswer: 6580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 22 - 98 = g, 0 = -g + 5*o - 84. Let s = g - -67. Solve -3*c - 23 = 5*q, -2*q - 1 = -s*c + 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3076067114.\nAnswer: 2, 1538033557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in six fifths of a milligram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 5 + 634. Suppose 4*p + 2*j - 305 = w, 396 = 3*p - j. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2*o = -0*o + 10, 5*o = t - 25. Let s be 0 - t - (-1 + 0). Let i be 6\/(-2)*(s - 2). Calculate the highest common factor of 3 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 3*k + 5 = 0, 2*t + 33 = -k + 48 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 120\/41 in -7, -3\/4, 0.06, -0.8, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2210120 - -1?\nAnswer: -2210112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 468683 to the power of 1\/2, to the nearest integer?\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 6*d**2 + 2*d - 7. Let r be b(6). Suppose 5*t + 2*h = -4, -5*t + r*h = 3 - 13. Solve -4*a - 82 + 94 = t for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -96*k + 20. Let c(m) = m - 1. Let l(x) = -40*c(x) - 2*n(x). Let d be l(1). What is d rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -871*x**2 - 1392*x**2 + 2*x + 1707*x**2 + 3.\nAnswer: -556*x**2 + 2*x + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5352 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-179901)\/5994 - (-3)\/222\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 521082.\nAnswer: 2, 3, 28949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 8*g + 1. Suppose 0 = p - 5*h - 3 - 1, 0 = -4*p + 5*h + 16. Suppose -x + 3*x = p. Suppose 3*c + 5 = x. What is b(c)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 443 + 193. Suppose -4*i + l + 101 = 0. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1003 (base 5) to base 3.\nAnswer: -11202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -666 + 308 + 743*j**2 + 358.\nAnswer: 743*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1225\/50 - (-1)\/2. Which is bigger: 24 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -31*u**3 - 6*u**2 - 6*u. Suppose 190*s + 374 = 184. Let d(n) = n**2 + n. Calculate s*v(f) - 6*d(f).\nAnswer: 31*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-76)\/(-10))\/(128\/(-320)). Let x be -6 - u\/3 - 0. Which is the closest to -1? (a) x (b) 2\/7 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 65\/21 + 78\/(-819)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -68 - 3*d + 68 + 4*d. Let q(j) be the second derivative of -j**3\/6 - 2*j. Give q(z(o)).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b**3 + 18255*b**2 + 543360*b - 35916800 = 0. What is b?\nAnswer: -61, 32, 3680","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -53 - -64. Suppose -10 = 3*g - 4*g. Calculate the smallest common multiple of q and g.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 2 = 7. Let s be (-2)\/6*(-7 + i). Suppose 3*u = -s*l + 2 - 3, 5*u = -l - 11. Put 5, u, -1 in increasing order.\nAnswer: u, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -4*m + 3*m, -m + 1 = 4*d. Find the common denominator of -113\/10 and -42*-3*m\/144.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 10 = -5*t, -3*t - 369*z - 2 = -367*z for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = m - 2*m. Suppose -j = 3*r - 11, -2*r + 9 = 2*j - j. Suppose -2*u + j*b = -0*u - m, u + 4*b = -16. What is the remainder when 6 is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 873*l - 873*l - l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/2 - 1\/(-1). Suppose 4*b = 2*o - 0*o, u = -5*b + 4*o. Suppose -3*n + 81 = -b*n. Solve 5*g - 2*c = -0*c - n, 2*g - 2*c = -12 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of 25*z**8\/24 - 14*z**5\/5 - 44*z**2. What is the third derivative of y(d) wrt d?\nAnswer: 21000*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) 0.4 (b) 0.12 (c) 5\/27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s - 4*b + 175, 4*s + 0*b + 17*b = -5*b - 14 for s.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2232134 (base 5) in base 9?\nAnswer: 60366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32305 and 26.\nAnswer: 64610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 757, 1515, 2273, 3031, 3789?\nAnswer: 4547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.5, 3\/2, 673, 0.01, -5, 1\/7?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 26*m**5 - 2*m**2 + 3*m. Let o(k) = -105*k**5 + 9*k**2 - 11*k. Let x(s) = 2*o(s) + 9*v(s). What is the second derivative of x(r) wrt r?\nAnswer: 480*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -10, 352, 2 in decreasing order.\nAnswer: 352, 3, 2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 9*b. Let o(t) = -19*t**2 + 116. Determine o(z(w)).\nAnswer: -1539*w**2 + 116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 - 24 = 4*o - b, -5*b = o + 44. Let l = -86\/3 - o. Let l*s**3 - 1\/3*s + 1\/3*s**2 - 1\/3 = 0. What is s?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(11\/2)*((k\/(((k\/k**32*k)\/k)\/k))\/k)\/k)\/(k*k**(-1\/28)*k*k)**(-2) assuming k is positive.\nAnswer: k**(297\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.16? (a) 7.48 (b) -70 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/102)\/2*(-426)\/355*-5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -23 + 2*s**2 + 40 - 17. Let a(t) = -64*t. Let g(h) = 3*h. Let j(r) = 3*a(r) + 30*g(r). Determine d(j(v)).\nAnswer: 20808*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of 0 + 0*q + q**2 + 91\/24*q**4 + 14\/3*q**3. What is the first derivative of c(j) wrt j?\nAnswer: 91","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1256687017 to the nearest integer?\nAnswer: 35450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3540?\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 189*w + 191*w = 27, -4*w = -4*m - 12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**4 + 1814 + 2*w**2 - 27*w - 1812 + 3*w to the form c*w**4 + t + b*w**3 + k*w + d*w**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1432 - 651d?\nAnswer: -794f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**4\/5 - 12886*k**3\/5 - 38633*k**2\/5 + 206116*k\/5 - 154596\/5 = 0. What is k?\nAnswer: -12883, -6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + 3*f + f**2)*(-3 + 2*f + 3) - 12 + 2*f**3 - 8*f**3 - 57*f + 62*f.\nAnswer: -4*f**3 + 5*f - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 50 + -50. What is the nearest to b in 2, 3\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a - 2*a + 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 900 by -9.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 greater than or equal to -4300070?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/1)\/(1*5\/(-10)). Solve 5*n + 15 = 5*h, -2*n + b + 7 = 3*h for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((4*-2*sqrt(1872))**2 - (1 + (sqrt(1872) + 2)**2))*2.\nAnswer: -192*sqrt(13) + 471724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55657.\nAnswer: 7, 7951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 54 = 3*t, -13 = -t - 0*t - 3*n. Let o = 37 - t. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(0 + sqrt(1573)) + sqrt(1573)*1 + 2)**2.\nAnswer: -132*sqrt(13) + 14161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 742761?\nAnswer: -1\/247587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 79746001\/3 - ((-50)\/(-30))\/5. What is n rounded to the nearest one million?\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 15. Suppose -2*z - x = -28. Calculate the greatest common divisor of z and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26980 - 21690. What is the lowest common multiple of g and 45?\nAnswer: 47610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -952501058 - -0.05.\nAnswer: -952501057.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -1236596*f - 21022132. Calculate m(-17).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from ypyywqpwyw.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 252, -0.3, -2\/7?\nAnswer: 252","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -43649\nAnswer: -2\/43649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 + -33. Let c = t - -9. What is the closest to 2\/9 in -1, -2\/5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3528*x - 13463 = -101065 + 2930 for x.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 12 = -5*m. Let f = 2582 - 10239\/4. Calculate the common denominator of f and (m\/(-10))\/(8\/(-135)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76 * 0.2\nAnswer: 15.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u**2 + u**2 + 3*u**2)*(-4*u + 3*u**2 + 4*u) + 390 - 146*u**4 - 144*u**4 - 390.\nAnswer: -293*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/4))**(-26)*x\/((x*x**(2\/7)*x)\/x)*x**(-2\/7) assuming x is positive.\nAnswer: x**(83\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 50 - (13 + 14 + -43)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -656, 2\/13, -6, 5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 4*j + 39. What is the remainder when 39 is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0018783 rounded to four decimal places?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/35 and 62\/95?\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**2 + 0*d**2 + 0*d**2)*(0 + 0 + 2*d**2) - 5*d**4 + 4*d**4 + 2*d**4.\nAnswer: 9*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 3*k - 3. Let i be f(2). Let z be (i - -1)\/(1 + -2). Let w be 4\/2*(2 + (-1)\/2). Solve 3*b + n - 3 = z, -3*b - w*n - 9 = 2*n for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000001100001001011 (base 2) to base 15.\nAnswer: a72c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-5*(0 + (sqrt(475)*-3 + 1 - (-3 + sqrt(475) + 1 + sqrt(475)))) + -3))**2.\nAnswer: -40500*sqrt(19) + 2674791","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 21 = -4*b, 5*b + 21 = 3*d - 0. Suppose d*m + 16 = 11*m. Suppose -3*x + g - 4*g = 6, 5*x - m*g - 26 = 0. Solve y = f - 2, -x*f - y + 8 = 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 19*x**2 + x. Let s be v(1). Let b = -15 + s. Calculate the greatest common factor of b and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5878895, 11757791, 17636687, 23515583?\nAnswer: 29394479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0\/7)\/((-2)\/2). Suppose w = -3*p - a + 43, -2*p + 0*a = -a - 37. Calculate the smallest common multiple of 12 and p.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3 - 12*t**2 - 12*t.\nAnswer: -3*t*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 22, 204, 668, 1546, 2970?\n\"Answer: 22*n**3 + 9*n**2 + n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 545 is divided by 293.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u - 13. Let x be b(-12). Let c = 15 - x. Suppose -8906 = g - 3*d, 0*d + 8 = c*d. Round g to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/((-378)\/12) - (-3876)\/42. Suppose z + 84 = v. What is the greatest common factor of v and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - (-88)\/(-20)) + 663\/(-5). Let j = v + 134. Let y(k) = -5*k**2 - 1. What is y(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6589.94 millilitres in litres?\nAnswer: 6.58994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 11*n**3 + 3*n**2 - 20*n + 14. Let h(j) = 13*j**3 + 2*j**2 - 20*j + 16. Let v(c) = -6*d(c) + 5*h(c). What is v(-9)?\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -3 + 1 + -13 + (-1 - -6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -1\/211906 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 5*f**2 - 36. Let m be v(11). Put 4, 0, m in decreasing order.\nAnswer: m, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4887?\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2 = 2. Let n(i) be the second derivative of 5*i - 1\/4*i**4 + 0 + 0*i**3 + h*i**2 + 0*i**5 + 1\/15*i**6. What is the third derivative of n(a) wrt a?\nAnswer: 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 3*c - 478, -l + 296 = 2*c - 21. Let v = -156 + c. Let m be (-6)\/(-9) - (-23)\/(-21). What is the third biggest value in -4, 3, v, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 170\/595 + 54\/21*563?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jwjwlrjlrwjllrljejp. Give prob of picking 2 l and 1 j.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**6)\/i*(i\/(i*i*i**(1\/7)))\/i*i\/(i*i**(3\/5)*i*i)*i*i**7)**(-25) assuming i is positive.\nAnswer: i**(-1620\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 42*z - 724*z - 996 + 236*z - 332*z wrt z.\nAnswer: -778","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7b5 + 1291f?\nAnswer: 1216a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -91 - -262. What is the remainder when t is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.07 - 0.17. Which is the nearest to 0.1? (a) -5\/2 (b) 2\/13 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 30*u**2 + 2*u + 3. Let h(f) = f**2 + f + 1. Give d(t) - 2*h(t).\nAnswer: 28*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-5*(-3 + (sqrt(5) - ((sqrt(30)*-2)\/sqrt(6) - sqrt(5)))) + sqrt(55)\/(sqrt(11)*1) + -4 + sqrt(405) + 1 + 0.\nAnswer: -33 + 50*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174*a = -172*a - 5*v + 8, 6 = a - 5*v for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + -2 + 915158\/(-40). Let z = t - -22877. Let v = -20\/13 + 667\/104. Find the common denominator of v and z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*x = -4, -p - x = -3*p - 12. Let w(n) = 22*n + 90. Let q be w(p). Solve 6*r - 18 = -4*o + 3*r, q*o = 3*r for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 674577923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 - (234\/24 - 5). Does v = 179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 6:55 PM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 4*d**2 - 12*d - 1. Let b(i) = i**2 - 2*i. Let n(p) = -3*b(p) + m(p). Let t = 36 - 31. Calculate n(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of 0*d + 1\/2*d**2 + 202. Let t(w) = -2*w - 6*w**2 + 2*w**2 + 0*w. Determine f(t(o)).\nAnswer: -4*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i**3*m**4 - 91008*i**3*m**2 + 5*i**3*m + i**2*m**2 + 2*i*m + 12194979*m**5 wrt m?\nAnswer: 24*i**3*m + 731698740*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**3 - 235*w**2 + 3*w**4 + 5*w - 2 + w**4 - 236*w**2 + 474*w**2 to the form v*w**4 + m*w**3 + l + u*w**2 + o*w and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 73*p**2 + 11*p + 7. Let o(y) = -158*y**2 - 24*y - 15. Let j(c) = 6*o(c) + 13*w(c). Let g(s) = -14*s**2 + 10*s - 34. Give g(q) + 12*j(q).\nAnswer: -2*q**2 - 2*q - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16800 divided by 1.\nAnswer: 16800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, l: 1, c: 10, k: 3}. What is prob of sequence ckck?\nAnswer: 9\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 5*d - 7 + 4)*(3*d**2 + 0*d**2 - 4*d**2).\nAnswer: 2*d**3 + 3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5078761491.99999939 - 5078761579. Let i = -87 - s. What is i rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153686 rounded to the nearest 1000?\nAnswer: 154000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**2\/3 - 182430*z - 4992105735.\nAnswer: -5*(z + 54729)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of -5*s**4\/12 - 11*s**2\/2 + 8*s. Differentiate b(o) with respect to o.\nAnswer: -10*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54 and 1738461?\nAnswer: 31292298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -61*g - 46. Calculate q(4).\nAnswer: -290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*f + 583*f**3 - 585*f**3 - 5*f + 8*f**2 - f - f + 20 as w*f**3 + d + l*f**2 + k*f and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001233053041 rounded to 5 decimal places?\nAnswer: -0.00123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -38097, -38515, -39197, -40143, -41353, -42827, -44565?\n\"Answer: -132*k**2 - 22*k - 37943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2640 and 4656480?\nAnswer: 51221280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 692 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3269198)\/12 - (0 - 0). Let f = r + 273104. Let q = f - 661. Find the common denominator of q and 87\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20504.72 rounded to the nearest 10?\nAnswer: -20500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -116366 and -116340 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p - 69. Let z(w) = -7 - w + 3*w + 9. Let k(x) = -4*x - 5. Let b(m) = -2*k(m) - 5*z(m). Give n(b(u)).\nAnswer: -4*u - 69","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -4 + 5 + -13?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -11, 17, 55, 103?\nAnswer: 161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 84 - 156*q + 423\/7*q**2 + 78\/7*q**3 + 3\/7*q**4 = 0.\nAnswer: -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92044233?\nAnswer: 3, 157, 65141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1574\/3 (b) -72 (c) -0.2 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of 24*o**5\/5 + 3*o**4\/2 - 2*o**3\/3 + 90*o - 380. What is the third derivative of g(i) wrt i?\nAnswer: 576*i + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32 + 33. Suppose 1 = -4*k - 5*q + 6, l = -k - 2*q. What is the third smallest value in -4, 2\/9, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 6*m + 23. What is y(5)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -161.0000476 + 161. What is u rounded to 6 dps?\nAnswer: -0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 211356.\nAnswer: -1\/52839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do -243 and -244 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c. Let h(l) = -1726*l. What is h(k(r))?\nAnswer: 1726*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(3) + sqrt(3)*2)*-1 + sqrt(15)\/sqrt(5)*1))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -691 - -4839\/7. Let n(m) = -m**2 - 2. Let l be n(0). Suppose 0 = 3*u + 4*r - 6 - 7, 0 = 2*u - r - 5. What is the second biggest value in x, u, l?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4275.2 rounded to the nearest one hundred?\nAnswer: -4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - -9)*1147\/(-74).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2.6, 1\/5 in descending order.\nAnswer: 1\/5, -2.6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p - 3. Let d be v(6). What is the closest to -0.1 in d, 0.1, -7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12527 - 451025\/36. Find the common denominator of t and -103\/708.\nAnswer: 2124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 16944244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -3*n**2 - 83*n + 832. Calculate q(-31).\nAnswer: 522","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 8 = 5*z, 0 = 3*l - 3*z + 9. Suppose l = -r + 2 - 4. Let i = r + 5. Solve -i = -2*f + 7 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1149\/8 or -144?\nAnswer: -1149\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.4 + -0.1. Let b = -1\/1126 - -3383\/5630. What is the nearest to d in -1\/4, 0.2, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -760, -762, -766, -772?\nAnswer: -780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-18))\/(((-304)\/19)\/(-864))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 77479441 to the power of 1\/2, to the nearest integer?\nAnswer: 8802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -0.265, 1\/2?\nAnswer: -0.265","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/12663445 and -34\/7598067.\nAnswer: 37990335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x**3 + 2*x**3 - 6*x**3)*(-3 + 5 + 2) + 7*x**3 + 10*x**3 - 22*x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**5 + 35*h**4 - 135*h**3 + 145*h**2 - 50*h.\nAnswer: 5*h*(h - 1)**3*(h + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5717.\nAnswer: 5717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50 - 60. Is -10 less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -7157, 1, -4018.\nAnswer: -7157, -4018, -7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 47, -3, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4106 - -8?\nAnswer: 4113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -471.59 + 471.7. What is the nearest to k in -0.5, -1\/3, 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 15 = -4*c - 1, -2*c - 2 = a for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 4*x - 30. Let m = 5 + 3. Let z(p) = 1 + 15 + m - p - 13. Give z(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6262, 10812, 13646, 14764?\nAnswer: 14166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**1)**(6\/13))**43 assuming h is positive.\nAnswer: h**(258\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 522 = -2*o - 5*g + 271, 162 = -2*o - 3*o - 3*g for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1735785, 3471569, 5207353?\nAnswer: 6943137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 p, and 1 f when three letters picked without replacement from {x: 1, b: 8, f: 7, p: 2}.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 932*t - 2774. What is y(3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 5, 0.033, 0, 0.13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h + 2*h - h + h to the form o*h + t and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*(1 + -2) - -12. Let o(p) = 9*p + 45. Let v be o(5). Calculate the greatest common divisor of v and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of w**7\/2520 + w**6\/144 + w**5\/15 + w**4\/12 - w. Let s(u) be the third derivative of m(u). Give s(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n - n - 5 + 4 - 3*n**2 + 4*n**2. Let w be j(-2). Let a be -1*1\/w*0. Solve 4*t = -a*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c*c\/(c**27\/c)*c*c)*c))\/(c**(-21)*c))\/(c**(-13)*c**(-21)) assuming c is positive.\nAnswer: c**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -36. Calculate the remainder when y is divided by 9\/(-6) - (-42)\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 184875 and 120495.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - g**3)*(-2088 - 1676 + 6378).\nAnswer: -2614*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuufnilini. Give prob of sequence unli.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*z - 149 = -579 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-3) - (30 + -22) - -17.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -43*m + 47*m. Is m less than or equal to 1\/48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - ((8 - (-15 - 25)) + -2).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, 3\/2, 233 in ascending order.\nAnswer: 1\/6, 3\/2, 233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r**3\/2 + 36*r**2 - 7347*r\/2 + 64387 = 0. Calculate r.\nAnswer: -134, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1117, 1123, 1133, 1147, 1165?\n\"Answer: 2*w**2 + 1115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36)*-1)\/sqrt(9))\/(sqrt(200)*2).\nAnswer: -sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -441*v**2 + 1. Let b(j) = -j**2 + 13*j**2 - 6*j**2 + 2*j**2 - 12*j**2. Determine b(a(g)).\nAnswer: -777924*g**4 + 3528*g**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 divided by -13?\nAnswer: -60\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 + -2.3. Let z = 7 - 6. What is the closest to z in -3, 0.1, q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160 is divided by 152.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8945244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*(z\/z**(1\/12))\/z*z*z)\/(z**(-4)\/z))**(4\/5) assuming z is positive.\nAnswer: z**(107\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 5:11 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -26 (b) 1 (c) -8 (d) 120 (e) -0.2 (f) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8414.\nAnswer: 2, 7, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101110110010100001 - 100?\nAnswer: -101110110010100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*3\/(-276)*(-890)\/(-1335)?\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4039, -1, -6.\nAnswer: -6, -1, 4039","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a**2 + 4*a - 5. Let f = -60 + 57. Let r be (1\/(-4)*-14)\/(f\/6). Is u(r) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 153, 328, 551, 810, 1093, 1388, 1683?\nAnswer: 1966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*h**3*n*p - 394*h**3*n + h**3*p - 429*h**2*n*p + 5*h**2 wrt h?\nAnswer: 30*n*p - 2364*n + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1728 divided by -4.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**2 + 200*s + 5057. Give a(-50).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -57 - -72. Calculate the highest common factor of 165 and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-225)\/(-6)*(-4)\/(-6). Suppose -m = -5*c - 0*c. Let k(y) = -y**2 + 9*y - 7. Is 13 a factor of k(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 - -0.4. Let b = -4.0215 - -0.0215. What is the fourth biggest value in -2\/9, k, b, -2\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 754c9 - 127?\nAnswer: 753a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*q**2 + 2*q**2 + 0*q**2)*(-242*q**2 + 552*q**2 + 618*q**2 + 137*q**2) as t*q**4 + y*q + u*q**2 + x + l*q**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -5188 greater than 47699?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, i: 1, r: 6, j: 4}. What is prob of sequence jjr?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*z + 6850 = 6998 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -6*y + 1. Let v(q) = 2*q**2 - 3*q. Let w be v(2). Let s(k) = 0 - w + 8*k + 7*k - 2*k. Determine 9*b(h) + 4*s(h).\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2970*h**2 - 2956*h**2 + 11834*h**2 - 2961*h**2 - 2953*h**2.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 34.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2758 - 2*u - 6521 + 3763.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-1\/9)*i)\/(i**(-2\/17)\/i)*(i**18\/i)\/i**(2\/43) assuming i is positive.\nAnswer: i**(131317\/6579)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1578900 a multiple of 1108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -34, -3 in descending order.\nAnswer: 0, -3, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (0*1\/3)\/(165\/(-55))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 33, 337765 in descending order.\nAnswer: 337765, 33, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from kkvdkedk?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 150313 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2*j + 9, -3*j - 2*x - 15 = -11. Solve -4*z + 23 = -5*t, z - t - 9 = -j*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v - 487. Let f(t) = -t - 244. What is -5*f(o) + 3*j(o)?\nAnswer: -o - 241","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8 - 0\/(-1))*(-10)\/(-2). Is p equal to -40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 3:23 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8060 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -646 - -926. Does 40 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7341632, 7341631, 7341630, 7341629, 7341628, 7341627?\nAnswer: 7341626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3, -0.616, 120\/7?\nAnswer: -0.616","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.09 - 2.3. Let y = -5.21 - m. What is the second smallest value in y, 0.3, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/(-3)*63\/(-14). Solve 3*h + 5*t = -c - 13, -2*h = -t - 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in -10, 1\/2, 3\/4, 42\/19?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8.89931 millimeters?\nAnswer: 0.889931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 291.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 - 701 = -5*o. Suppose 5*w - o = -5*b - 2264, -3*b + 3*w - 1281 = 0. What is the common denominator of -1*1 - b\/64 and 51\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 509 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173*t - 170*t = 171. Suppose -l = 4*v - 70, -3*v = -11*l + 14*l - t. What is the remainder when 169 is divided by v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_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: b\"What is the dth term of -17260, -18108, -19520, -21496, -24036, -27140?\n\"Answer: -282*d**2 - 2*d - 16976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 6*p**2 - 7*p + 7. Let b be x(5). Suppose 22*y + 7 = 73. Is 66\/(-3)*y\/b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -69*(-20)\/420 + -5.\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-10)*1\/3.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 6. Let b(n) = 3*n**2 - 8*n + 2. Let q be b(v). Let y be q\/15*(-18)\/(-2). Calculate the greatest common factor of y and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6503151.\nAnswer: 3, 2167717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3375754889 to five decimal places.\nAnswer: -0.33758","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3884432 and 20.\nAnswer: 19422160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61590 divided by -41.\nAnswer: 61590\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -23, 21, -1, 1, 31, -0.06, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -3 + 18. Suppose 2*i + 80 = y*c, -c + 16 + 0 = 2*i. Suppose c = 5*x - 11. Solve z + 1 = 3*f - x*f, 2*f = -4*z + 10 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 909481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(612))**2*-5 - (1*sqrt(612) + 5)) + (sqrt(612) + 0 + -3 + sqrt(612) - sqrt(612)) + (sqrt(612) - (sqrt(612)*-2 + 2))**2.\nAnswer: -72*sqrt(17) + 2444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 - 4*j + 1. Let u be 1*6*3\/6. Let v = u - 5. Determine m(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2595, -51, -0.5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + 4 + (-424)\/56. What is the biggest value in 1\/4, p, 4, 3\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q - q - 3*q - 63*q**3 + 3*q**3 + 46*q**3.\nAnswer: -14*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -439 + -237. Let m = -182 - f. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5341317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 10*m**2 - 20*m - 5. Calculate h(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (3*sqrt(684)*-3 - sqrt(684)))**2 + (sqrt(684) - ((sqrt(684) + -1)*3 - sqrt(684)) - (0 + (-1 + sqrt(684))**2)))*5.\nAnswer: 630*sqrt(19) + 338595","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 756360 and 3056.\nAnswer: 1512720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(153)*-2*-3)\/(sqrt(27)\/(sqrt(12)\/sqrt(4)) - 6*(sqrt(9) + sqrt(9)*-1)).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f*f**(4\/9))\/f))\/(f**(-21)\/f) assuming f is positive.\nAnswer: f**(203\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (((-22)\/9)\/22)\/((-1)\/30). Suppose x*z**2 - 16\/3*z + 8\/3 - 2\/3*z**3 = 0. Calculate z.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from prrpgovpqppppp. What is prob of sequence qp?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 0, 0 = d - j + 3 - 4. Is -4\/59 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2785*o + 37744 = -7034*o - 108795 - 31919 for o.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-8))\/(429\/1430)*-4?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1224018182 to the power of 1\/3, to the nearest integer?\nAnswer: 1070","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -212*p**2 - 6134 + 2*p + p - 3*p + 6136 in the form o*p**2 + g*p + l and give o.\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 30*s - 17. Let a(n) = 10*n - 6. Let m(v) = 17*a(v) - 6*g(v). Let t(o) be the second derivative of -o**4\/6 + 253*o. Determine t(m(c)).\nAnswer: -200*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 507380, 507385, 507402, 507437, 507496, 507585, 507710, 507877?\nAnswer: 508092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 7*m + 4*d + 26 = 0, 5*m - 37 = 3*d. Solve 5 - 10 = m*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 1372 - 1333 = -2*s, -91 = 12*s - 5*v for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = r + t - 20, 0 = 2*r + 2*t - 24. Let o = r - 5. Suppose 0 = 5*g - 7 - 33. Solve g = -o*z - z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7794672 = -3*v + 556205328. Round v to the nearest one million.\nAnswer: 188000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8830700.\nAnswer: 2, 5, 233, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-4) - 1\/(-8)*10. Let j be (-2)\/((-4)\/(-6))*-1. Suppose 2*p + j*p - 100 = 0. Solve 3*h + f*v - 25 = 4*v, v + p = 3*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63947 is divided by 57?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 97.68973635 and 14.\nAnswer: 111.68973635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36712.\nAnswer: 2, 13, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -137f?\nAnswer: 137d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85023, 85024, 85025?\nAnswer: 85026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 12710 - 12741 = -9*z, -3*z = 2*b - 22 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 27*d**3 - 7*d**2 - 3. What are the prime factors of h(3)?\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 89*y - 540. Let p be c(6). Let q(f) = f**3 + 6*f**2 - f - 14. Calculate q(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1172, 1176, 1182, 1190?\nAnswer: 1200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 + (83 - (60 + 0))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(20\/39 + (-8)\/(-52)). Suppose l*n = 5*n - 110. What is the remainder when n is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 1:56 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 92*k**2 + 183*k + 375. What is the thousands digit of l(91)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 4:28 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9 (b) -17\/3 (c) 3929\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8*4\/(-112) + 46\/14. Let c be (8 - 26\/a)*21\/(-2). Solve -c*s - 2 = -9 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 100 + 10. Let m = g + -16. What is the smallest common multiple of m and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 16, 118, -1, -3 in descending order.\nAnswer: 118, 16, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of m**4\/48 - 4*m + 10. Let w(d) be the first derivative of o(d). Let w(z) = 0. What is z?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) - (sqrt(704) + (2 + sqrt(704))**2))*-1.\nAnswer: 32*sqrt(11) + 708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -1, 6?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - be?\nAnswer: -c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (2 + sqrt(5))*-4 + -4 + -3 + -4 + -2)*5*5.\nAnswer: -425 - 100*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1051, 1854, 2657, 3460, 4263, 5066?\n\"Answer: 803*r + 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -65, -231, -499, -863, -1317, -1855, -2471, -3159?\n\"Answer: o**3 - 57*o**2 - 2*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j. Let q(f) = f. Let y(d) = -3*q(d) + 4*s(d). Let k be y(4). Let c(i) = -9*i**3 - 8*i**3 - k*i + 5*i**3 + 3*i. Determine c(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 25 = -b + 35, 79 = 3*w - 4*b. What is the remainder when w is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -53 - -56. Calculate the common denominator of -143\/108 and (-2)\/13 - ((-1502)\/468 - m).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -5*t, w + 40*t = 42*t + 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -310012121312?\nAnswer: 310012121302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/50)\/((-14)\/8)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8be - 2?\nAnswer: 8bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5370\/(-90) - -60 - 22\/72\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*p**5 + 26*p**5 - 32*p**5 + (2*p**5 + 5*p**5 - p**5)*(5 + 3 - 4)*(-2 - 2 + 1).\nAnswer: -60*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 90 = -4*l - 14, 5*p - 120 = -5*l. Solve p*s + 2 = 18*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1603 is divided by 584\/10*(-10)\/(-160)*40?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 871222.6s to milliseconds.\nAnswer: 871222600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/13, 39, -3?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4927, 9863, 14815, 19783, 24767?\nAnswer: 29767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 346 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30848 and 8880.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**3 + 66*a**2 + 3*a + 108. Let x be 216\/(-6) + (-2 + 1)*-3. Let m be q(x). Solve -5*p + m = 4*w, -3*w + 9 = 3*p + 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -2*g**5\/17 - 16*g**4\/17 - 12*g**3\/17 + 16*g**2\/17 + 14*g\/17 = 0.\nAnswer: -7, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/(-14))\/4 - (-2)\/14. Solve -3*a = 2*z - g*a + 7, 2*z + 9 = -a for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -51*n - 464. Determine i(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41 + -24. Suppose -m = -j + 2 + 3, 3*j - 5*m - a = 0. Solve -2*z - j*v - 19 = 5, 4*z = -v - 13 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of f**4\/12 - 5*f**2 - 23*f. Let m be 48\/216 - 4\/18. Give j(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nv when two letters picked without replacement from cccvvcvnmcccvccvvm.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/36*4\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*f + 2 = -170*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 180730 and -1.\nAnswer: 180729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, m: 7}. What is prob of sequence mww?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -16 - (14 - (13 - -23)) - 47\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6884\/3 - 2294. Let b = -1.5 + 0.5. Which is smaller: d or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2188\/385 + 12\/385. Let i = -2 - 1. Calculate the common denominator of 35\/i - (-3)\/9 and h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0)**(-26\/3)\/(j**(4\/5)\/j*j**(1\/3)*j) assuming j is positive.\nAnswer: j**(-17\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.445 * 1.\nAnswer: 2.445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.44*3.6\nAnswer: 1.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of -o**7\/30240 - o**6\/2880 - o**5\/720 - 5*o**4\/12 + 15*o. Let k(c) be the third derivative of g(c). Solve k(r) = 0 for r.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lwwb when four letters picked without replacement from llwwbbbwwlwwbwwwww.\nAnswer: 11\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 6*y**5 + 26*y**4 + 32*y**3 + 8*y**2 = 0.\nAnswer: -2, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**3 + 2*q**4 + 2*q**3 + (0 + 0 + q**3)*(3*q - 4*q + 3*q) - 45*q**4 + 38*q**4 + 84*q**4)*(45*q - 44*q - 4 + 15).\nAnswer: 81*q**5 + 891*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 158315, 316643, 474971, 633299?\n\"Answer: 158328*f - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -360.99 * 928.1\nAnswer: -335034.819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 74292?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11326.56 hours to nanoseconds.\nAnswer: 40775616000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-5) + 9\/5. Suppose 20 = -3*f + d, -f + 0*d - 16 = k*d. Let j = f + 13. Solve -2*p + 1 = -j for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 135*h**2 - 675*h + 54354. Determine d(133).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 304233982?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7507531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -65, -18, 4, -2.\nAnswer: -65, -18, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 3 = 3*t, 5*s - 5 = -2*t + 21. Suppose -t*l + 261 = 4*d, -5*l - 6 + 21 = 0. Does 34 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20065, 33041, 46021, 59005, 71993?\nAnswer: 84985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 319544 (b) 1.2 (c) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 5:43 PM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13275461?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(4\/25)\/w**(6\/31)*(w\/(w\/w**31))\/(w*w**(2\/3)) assuming w is positive.\nAnswer: w**(68122\/2325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(-4 + 1 + 2)*(0 - 1 - 1)*(-798*h - 8*h**3 + 798*h).\nAnswer: -16*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(-22)*((-77)\/14)\/(-11).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of w**5\/60 + w**4\/24 + 4*w**3\/3 + 2. Let f(t) be the third derivative of q(t). Calculate f(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/25445 and 63\/10.\nAnswer: 50890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3365 is divided by 1360.\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 4 - 29. Suppose d + u*q = -0*q - 26, 5*d = -2*q - 15. What is the remainder when 21 is divided by (-28)\/12*9\/(d - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*t = 611*t - 166*t + 8019 for t.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f + 1. Let y be i(-2). Solve y = -3*n + 20 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, o: 1}. Give prob of sequence to.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 618545?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h**2 - 106544*h + 94 + 106544*h - h**2 - 22.\nAnswer: 3*h**2 + 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1172500 rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m. Let w(f) = 337*f**2 + 4. Let h(i) = 90650*i**2 + 1078. Let g(z) = 2*h(z) - 539*w(z). What is k(g(v))?\nAnswer: 343*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1544236\/63441 + 1290\/53. Which is greater: j or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 28. Let d(q) = -s + 53 - 17 - 3*q. Let k be d(6). Let f(z) = -z**3 - 10*z**2 - 10*z. Calculate f(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from -0.16617.\nAnswer: -2.16617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = m - 6. Suppose 0*s = 5*u + 3*s - 121, -m = s. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**2\/11 + 364*s + 182182 = 0 for s.\nAnswer: -1001","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3921346927 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 82 + -87.7. Let v = -0.3 + d. Let u = 4 + v. What is the closest to 0.1 in u, -3\/2, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 10\/11 (b) 3 (c) -214\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000169501213 to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8929 - -9335. Solve -381 = 5*r - i for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -1 - 309*s + 162*s + 151*s + 1. Let w(q) = 32*q**2 + 0*q - 3*q + 3*q. Calculate w(g(u)).\nAnswer: 512*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-12)*11\/1*-3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34.46787km to meters.\nAnswer: 34467.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -223*o - 24482*o**2 + 24482*o**2 - 5*o**3 in the form r*o**2 + j*o + c*o**3 + t and give j.\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2561*l - 68. Is o(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -205\/4 + 51. Let u = 0.2 + 0.3. Sort 2, u, q in decreasing order.\nAnswer: 2, u, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 246869?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 150?\nAnswer: 14a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 19*i - 6. List the prime factors of u(5).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -162*q + q**2 + 162*q to the form p*q**2 + h*q + s and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/18 + (-250)\/1530)*1.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**3 + 2447*b**2 - 12299*b + 61. Calculate c(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*d = -5*k - 150*d - 13, 5*k - 3*d = -11 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t**(-27)\/t))\/((t\/(((t\/(t*t*(t*(t*t**(-13))\/t)\/t*t*t*t))\/t)\/t))\/t*t))\/(t**(-9)\/t**(-2\/23)) assuming t is positive.\nAnswer: t**(987\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/(-12)*9\/(-6). Suppose m = -v + 3*v. Let c(h) = 30*h**2 - h + 2. What are the prime factors of c(v)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, -324, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10558*v**2 + 6429?\nAnswer: 21116*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 57776*k - 57775*k + 0 - 9 + 710*k**3 to the form s*k + i*k**2 + u*k**3 + o and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1415*x**2*y**2 - 2*x**2 - 3*x*y**2 - 116*x - 2*y**2 wrt x?\nAnswer: 2830*y**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/559 and 55\/14.\nAnswer: 7826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 2219 (c) 1\/3 (d) -10 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*w + 2. Suppose -4*o = -w*o + 94. Is o a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*((k**(-6)\/k)\/k)\/k)**(3\/14) assuming k is positive.\nAnswer: k**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4095, -7764, -11421, -15060, -18675?\n\"Answer: t**3 - 3676*t - 420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-2\/9))\/(c**10\/c) assuming c is positive.\nAnswer: c**(-74\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {u: 5, m: 15}.\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 13*j - 7*j + 1 + 8 - 7*j. Determine b(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -78? (a) 3 (b) -1 (c) -2\/7 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o = 30*o - 32. Solve 0 = 6*g - 3*g - 5*q - 17, 5*q = o*g - 18 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 371 = 2*o - 5*z, -2*o + 5*z + 365 = 6*z. What is the remainder when o is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.32 times 157?\nAnswer: 2719.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15677342.\nAnswer: 2, 29, 270299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1455678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 3*o + 5 = 0, -4*h = -o - 0*o - 4. Let q(a) = 7*a**2 - a. Give q(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82\/5723 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -27*f - 31. Let i(w) be the second derivative of 40*w**3\/3 + 47*w**2 - 13*w. Let r(l) = -6*i(l) - 17*j(l). What is the derivative of r(c) wrt c?\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11301737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 3. Suppose z - 17 = 3*m, -m - 3*z = -4*z + 5. Let h be 6 - (9\/j + m). Calculate the greatest common divisor of 99 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 264\/103?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(120))\/sqrt(10))\/(sqrt(4) + sqrt(576)*-2))**2*-5.\nAnswer: -60\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c - 5. Let y(o) = -210*o + 154*o + 9 + 48*o + 3. Determine -12*a(r) - 5*y(r).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 484 = -2*p - 480, 2*b = -5*p - 17 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*n**2 - 12*n**2 + 40*n**2 - 2 + 1 - 2*n**2 - 16*n**2.\nAnswer: -8*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 224.590578 plus 0.074?\nAnswer: 224.664578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 360\/945*(2 + 1 + 0)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3 - -0.7. Let o = 5.7 + -7. Let c = o + b. What is the biggest value in c, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(4 + sqrt(128) + sqrt(128) + sqrt(2)))**2 + -1.\nAnswer: 544*sqrt(2) + 2375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 5*u = -15, -6*u + 6*u + 2*u + 6 = 13*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, -1.46, -1, -21?\nAnswer: -1.46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -379 + 147. Let k = y - -328. Let i = -46 + k. Is 12 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*f - 26314 + 106682 = -1043*f - 32528 for f.\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 4*o = -44, 3*j - 3*o - 2*o = 23. Let t = -8 + j. Calculate the lowest common multiple of t and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from {x: 13, g: 3}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13989 + 20107. Is r a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 4:19 AM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -128*h**2. Let m(c) = 2*c**2 - 4*c + 8. Let p(w) = w**2 - 3*w + 6. Let s(r) = -3*m(r) + 4*p(r). What is s(q(d))?\nAnswer: -32768*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -3 + (0 - -2) + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/6*513\/(-95)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 7:59 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**3 - 6*l**2 - 6*l + 142. What is the remainder when x(9) is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -290 + 291. Does q = -76?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(336)\/sqrt(7) - (-1 + sqrt(192) - sqrt(192)).\nAnswer: 1 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.8002 + -0.8002. Suppose 0 = -3*z + 3*w - 18, 4*z + 4*w - 4 = 4. Let f be (-2 - 0)*z\/(-20). Which is the closest to 3? (a) 13\/5 (b) h (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 296 + -147. Calculate the remainder when w is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 517 + -2?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26670*t**4 + 8257*t wrt t?\nAnswer: 320040*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 2 = -3. Let m = 0 + 0. Put f, m, -8 in descending order.\nAnswer: m, f, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.8? (a) -1 (b) 5 (c) -3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*k - 5538 + 6162 = 0 for k.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -167035*f. Let d(a) = 39*a**2. Give d(c(z)).\nAnswer: 1088126957775*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express b + 11579*b**4 - b + 5*b**3 + 1 + 7*b**2 - 11577*b**4 in the form c*b**4 + k + p*b + m*b**2 + h*b**3 and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2672591 or -1?\nAnswer: 2672591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1126568713 to the power of 1\/3, to the nearest integer?\nAnswer: 1041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 0*s + 18. Suppose -s = -l - 2. Suppose -49 = -3*z - 0*p + l*p, -2*z = 5*p - 25. 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 617 is divided by 69.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -16118.\nAnswer: -16117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w + 10*w + 2*w**3 + 0*w to the form r*w**2 + s*w + n*w**3 + o and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 628447.9 decades to years.\nAnswer: 6284479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -6*f, 5*f = -5*r + 20. Suppose m - 3 = 4*g - 4, -r*m + 13 = g. Suppose m*o - 384 - 222 = 3*c, 4*c - 620 = -3*o. Does 34 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298294 is divided by 2814?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43590.37241 + -43516.372408944. Let x = 74 - h. Round x to seven decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 12*h + 64. Let v be r(-10). Calculate the greatest common divisor of 8 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -41534 plus 0.5?\nAnswer: -41533.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2948*k**2. Let f(a) be the third derivative of -a**5\/20 - 2*a**2 - 2*a - 64. Determine b(f(g)).\nAnswer: -26532*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - t + 27 = 0, 80*c - 84*c - 18 = -2*t. Which is greater: -2\/29 or c?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -5*x + 2*x + 8, -4*b + 5*x - 8 = 0. Let q be (-5)\/(5\/(-8)) - b. Suppose 3*u - 235 = 35. Calculate the greatest common divisor of u and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 72 = -0*x. Is (x\/(-48) - 109346\/(-24))*3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -380198, -760390, -1140582?\n\"Answer: -380192*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 406 and 8642.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*t**2 + 2 - 2*t**4 - 3*t**2 + 2*t**3 + 9*t**2 - 28*t to the form p + n*t**3 + z*t**4 + a*t**2 + x*t and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p + 4. Let w be x(-4). Let d(u) = u - 1. Determine d(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*s = 3*i + 9*s + 45, 3*i - 17 = -2*i + s for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 242 = -3*n. Suppose 7*g = 2*g - 5, 4*t + 3*g - n = 0. Does 18 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 69*s**2 - 71*s.\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -120982950 minus 1063?\nAnswer: -120984013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 6329928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*k + 23*k + 10*k + 9*k + 86 + 10*k to the form n + b*k and give b.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7 + (4 - 34\/4))*10. Suppose 4*n = -5*k + 5*n + 12, 2*k - 21 = -5*n. Suppose -k = l - 4. Solve d + l - 18 = 5*h, 5*d = 5*h + v for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 38 + 393 = -80. Calculate the remainder when 276 is divided by j.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3*g = -3*a - 21, -5*g - 18 = 4*a. Let q = -4 - g. Suppose -q*d - 5*u = 8600020, 0*u = -3*d - 2*u - 12900008. Round d to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of v**5 + 1020879*v**4 - 9*v**2 - 447551*v wrt v?\nAnswer: 20*v**3 + 12250548*v**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 26, -0.4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-99)\/22*(-15)\/(-18))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(228) - sqrt(228)*3 - sqrt(228)))\/sqrt(12).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 464*n**5*t + 9364*n**5 - 6*n*t + 50*n - 252*t - 2 wrt n?\nAnswer: 9280*n**3*t + 187280*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 z when two letters picked without replacement from {f: 5, x: 3, z: 3}?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38108493 - -19708493. Round y to the nearest 1000000.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-6 - -12) - (-4 - -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1666 - -1665.8783. Round h to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9\/12)\/((-81)\/(-20) - 4). Suppose -43 = -2*q - u. Suppose 5*i - q = 106. Is 2 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 3*m + 2408, -5*m + 257 + 921 = x. Is x a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59941 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1876703034 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*d**2 - 75*d**2 - 43*d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 15*r**2 - 5. Let a(h) = h - 1. Let o(x) = 5*a(x) - b(x). Determine k, given that o(k) = 0.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8418, 17378, 26328, 35262, 44174, 53058, 61908?\nAnswer: 70718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*q + 27*q + 445 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 11:18 PM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/(-60)*(-2)\/(-6). Suppose m - 11 = 4*z, 2*z - 4*z - 10 = 4*m. Put -5, a, z, 3 in ascending order.\nAnswer: -5, z, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.077 and 1133911972830.\nAnswer: 1133911972830.077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*d + 17*d - 50. Solve -11 = 9*l - d for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 - 62. Let k be b(-8). Factor 0 - 1\/2*a + 1\/4*a**k.\nAnswer: a*(a - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 21 = -4*a + 45, 4*a - 36 = 4*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**4\/15 + 4*m**3\/15 + 152*m**2\/15 - 484*m\/15 - 42 = 0.\nAnswer: -9, -1, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-14) + (-115)\/(-35). Suppose -w = -2*t + 16 - 2, -2*t - i*w - 2 = 0. Solve -3*f - 6 = -t*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7529137, 7529141, 7529145, 7529149?\nAnswer: 7529153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/21 + (-90)\/378)*(-3)\/(-4).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111001 + 1100011001110?\nAnswer: 1100110000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 10. Let s = 47578 + -47575. What is the second biggest value in s, g, -1, -0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**3 - 26*c**2 + 8*c - 152. Give p(0).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b + 3. Let p be u(5). Let j = -2871 - -2874. What is the fourth smallest value in -0.2, p, 5, j?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000214302074 to 7 dps.\nAnswer: 0.0000214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 1 (c) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.1 (b) 4\/5 (c) 0 (d) 6 (e) 485\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 + (10 - (12 - (-27 + 18))).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 481482 divided by 3?\nAnswer: 160494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -468*f**4 - 3 + 522*f**4 - 342*f**4 + (-3 + 1 + 1)*(-4*f**4 + 0*f**4 + 3*f**4).\nAnswer: -287*f**4 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 585, -1\/4, -0.4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d - 2 = 284. Let r be d + (-6)\/(-6) + -6. Solve -5*s - 11 = 2*u, -3*s = u - 5*u + r for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jzg when three letters picked without replacement from ggggjjgzjllzglllg.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -23 (b) -0.5 (c) -0.73 (d) -4 (e) 0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -436 - 6*h + 696 - 260.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05 and -522.\nAnswer: -26.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 19624 - 188*k**2 - 19624 in the form a*k**2 + y*k + b and give a.\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 225 - 667\/3. Which is bigger: 2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29329 + 23838\nAnswer: -5491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 282246907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 6:28 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i - 551*t - 3314, 7*i + 5*i - 4*i = 5*i - 5*t - 42 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -9*o**2 + 20. Let y(x) = -4*x**2 + 8. Let m(s) = 16*s**2 - 9*s + 8. Let i be m(1). Let b(d) = i*y(d) - 6*u(d). Let t(c) = -4*c**2. What is t(b(w))?\nAnswer: -144*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 34824.6 rounded to the nearest 1000?\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 3*y. Let f be j(-3). Suppose -11 = -2*u + 5*w, -3*u + 3*w = -f*u - 12. What is the highest common factor of 2 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 PM and 8:34 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (65 - 65 + 11*t**2)*(-1 + 1 - 2) + 36*t - 36*t + 30*t**2 in the form h*t + x + a*t**2 and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -19 + 24?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -618 times 102\nAnswer: -63036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -3*v**3 - 2*v**2 - 5*v - 3. Let p be a(-1). Let t(u) be the first derivative of -9*u**2\/2 + 6. What is t(p)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*g + 23*g - 27*g**2 + 414*g**2.\nAnswer: 387*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.994*9130.\nAnswer: 9075.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5978*z - 6043*z - 910 = 0 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 186071347 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -548 = -9*w + 604. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 0.3, -2\/5, -90, -1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 78089394.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*q - 8418 + 8355 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1310 divided by -1310.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + a - 16 = 0, -5*f - 5*f + 11688*a = 11684*a - 40 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, f: 2, g: 7, u: 1, y: 3, m: 2}. Give prob of picking 2 m, 1 e, and 1 g.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 8*q - 2. Let y(m) = m + 5*m - 3*m - q - 1. Let o(v) = 7*v - 5. Calculate -2*o(u) + 5*y(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 592*o**2 + 7*o. What is the hundreds digit of n(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1082623 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 368006 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.1 + 0.1. Let h = 5 - 4. Let k = h + m. Which is greater: 1\/2 or k?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-472)\/(-590) + (-192)\/190. Is x bigger than 33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-11)\/44 - 2\/(-8). Suppose -z - 4*c + 22 = n, 0*z + 29 = 2*z + 5*c. Solve 3*l + l = 4*w + 20, z*w - 6 = -2*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -72316.5 to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 4*x = -224. Calculate the common denominator of 62\/33 and (x\/360)\/((-18)\/(-15)).\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3027 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: In base 9, what is 5818 - -2?\nAnswer: 5821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 21*y**2 - 13*y - 140. Let j be b(20). Solve -3*p - d - 1 = 0, -4*p - 3*d + d - 2 = j for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 438*n - 4117. What is the remainder when 12097 is divided by z(10)?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93880643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/2))**(-4) assuming s is positive.\nAnswer: s**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 8*t**2 - 18*t - 469. List the prime factors of i(-17).\nAnswer: 7, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17464 - 6164769\/353. Let m = 36083\/4236 + y. What is the common denominator of m and (-1)\/3*639\/(-66)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**4 - c**4 + c**4 + (2 + 2 - 2)*(-2*c**4 - 4*c + 4*c) - 4*c**4 + 2*c**4 + 4*c**4 - 256*c**3 + 256*c**3 - 17*c**4 - c + 2*c**4 + c)*(c - c + 2*c).\nAnswer: -32*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13544 + -10292. What is the greatest common divisor of 36 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/3 + 303530024*h\/3 + 23032618867360144\/3.\nAnswer: (h + 151765012)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -120514 + 1562?\nAnswer: -115622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.32, -0.4, 0.11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1132418908 to the nearest integer?\nAnswer: 1042","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33538 is divided by 430.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40 - -184. Suppose -t = -2*n + d + 4*d, 395 = 5*n + 5*d. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -5*b + 15, 0 = -4*a - b + 2 + 1 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 156 = 3*x, 4*q = -4*x - 178 + 34. Is 19 a factor of 76\/(q\/(-9) - 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7136483 is divided by 2378818.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -132*i**2 + 9075*i - 6739. What is t(68)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 10) in base 8?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r - 2*r - 5*i = 60, -10993 = 4*r + i - 10957 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g = -6*g - z - 4, 2*g + 3*z = 12. Suppose -2*f + 5 = -w, g*w + w + 11 = -f. Sort -4, 2, w, 1 in ascending order.\nAnswer: -4, w, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 56 + 8e66?\nAnswer: 8ebc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j**2 - 3*j + 5. Suppose -5 + 3 = -3*n + a, 2*n - 8 = -a. Let l be c(n). Let x(p) = -p**2 - 13*p + 13. What is the units digit of x(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jftaaenfnjnn. What is prob of sequence jffj?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -267924*d**6 - 3*d**5 - 33915*d**2 - 2*d - 9.\nAnswer: -32150880*d**3 - 180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 + -127. Let l = 115 + u. Put -2\/7, 0.4, l in ascending order.\nAnswer: -2\/7, 0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*z = 3*z - 7152. Let b = 491 + z. Calculate the highest common factor of 308 and b.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 3*o - 15 = 0, 4*j + 3*o - 15 = j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -223\nAnswer: 5\/223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.49 - 1.29. Which is the biggest value? (a) 5 (b) -43 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/226525 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + 6*b + 2. Let f(k) = k**3 - 4*k**2 - 1. Let l be f(4). Let s = l - -7. Let j be z(s). Solve p - j*p = 3*d - 20, -5*d + 30 = p for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - -3)\/(6\/15). Suppose 3*d - y = 7, 0*d + 17 = 5*d + y. Let k be (d - -1) + (2 - 2). Solve -24 + k = i*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26250 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 257508 and 54556.\nAnswer: 152702244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -8. Suppose 0 = -k*t + 71 - 16. What is the remainder when 43 is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1434 or 1404?\nAnswer: 1434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-15)\/9)\/((-3)\/9). Suppose -b = -c*t - 29, -1 = -4*t - 5. Let x = b + -9. Is x even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27851 or 83557\/3?\nAnswer: 27851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -67.7057, -11, -1\/4?\nAnswer: -67.7057","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 378900 is divided by 539?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5855879 divided by 5855879\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-144*b**3 - 11*b**3 - 18*b**3)*(-4 - 1 + 4)*(-4*b + 3*b + 0*b) to r*b**2 + z*b + n*b**4 + x*b**3 + s and give n.\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -5*u**3 - 3*u**2 + 4*u + 3. Let f(m) be the second derivative of -m**5\/20 - m**4\/12 + m**3\/6 + m**2\/2 + 4*m. Calculate 3*f(t) - i(t).\nAnswer: 2*t**3 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 11, a: 3, z: 1, w: 1, i: 1, m: 1}. What is prob of sequence zma?\nAnswer: 1\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1617.65 + 19.\nAnswer: -1598.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 + 101 - (3 - -60)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 308363 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of 11*h**4\/4 + h**3\/6 - h**2\/2 + 4*h. Calculate the remainder when p(1) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 213706496.\nAnswer: 2, 59, 14149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 110110?\nAnswer: 110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52 + 33*c**3 - 32*c**3 + 12.\nAnswer: c**3 - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (((-120)\/42)\/(-5))\/(((-118)\/(-1652))\/(3\/(-3708)))\nAnswer: -2\/309","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 44175794339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, d: 4, y: 5}. What is prob of sequence ds?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of a**4\/8 - a**3 - 3*a**2. Let i(v) be the first derivative of -v**2\/2 + 9*v - 10. Let g be i(4). Give w(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -131*n. Let m(i) = 33*i. Determine -26*m(z) - 6*x(z).\nAnswer: -72*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 174 - 86. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 29*q**3 - 32*q**2 + 23*q - 16. Give i(3).\nAnswer: 548","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2692*c + 3826. Let r(w) = 1345*w - 1913. Let l(n) = -2*m(n) - 5*r(n). Find the first derivative of l(f) wrt f.\nAnswer: -1341","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -8*c. Suppose 2 = l - 0*l + 4*q, 0 = 4*l + 5*q - 8. Let a(s) = 0*s**2 - 3*s**2 + l*s**2. Determine a(g(t)).\nAnswer: -64*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2 - 13800*m - 11902500.\nAnswer: -4*(m + 1725)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80 and 770.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 3*c = 76. Let v = 25 - c. Find the third derivative of -895*k**2 + 13*k**6 + 875*k**2 + v*k**6 wrt k.\nAnswer: 2280*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 8 = 4*g. Which is the nearest to -2? (a) -5 (b) g (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -51, -5, 2 in descending order.\nAnswer: 2, -5, -10, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -22 (c) -18 (d) 6.73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 224*m + 8736. Let s be b(-39). Factor 0 + 4\/19*t**2 + 2\/19*t**4 + 6\/19*t**3 + s*t.\nAnswer: 2*t**2*(t + 1)*(t + 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of -s**5\/15 + 28*s**3\/3 - 2075*s**2. Let a(u) = 6*u**2 + 4*u. Let i(h) = h**2 + h. Let y(z) = -a(z) + 4*i(z). What is b(y(d))?\nAnswer: -16*d**4 + 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (15\/(-2)*(-156)\/4680)\/((-2)\/8). Suppose 2*t = 3*n + 5 - 16, 4*n = 4*t + 12. Sort n, -2, u in decreasing order.\nAnswer: n, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 2*r)*((-2*r - 5 + 5)*(0*r + 2*r - 4*r) - 30*r - 7*r**2 + 30*r) to the form x*r + g*r**2 + s + o*r**3 and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - 3*s - 3. Let u be n(-3). Let x be (-1)\/(-2) + u\/10. Solve -5*z - 33 = -2*t, 3*z - t + 11 = -x*t for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -5*o + 40, -3*o - 4*z - 5 + 3 = 0. Let a be -3*-3*(-10)\/(-18). Sort a, o, -2 in ascending order.\nAnswer: -2, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2902547 and 463.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 6*y**2 - 33*y + 12. Let z(k) = 7*k**2 - 38*k + 11. Let a(b) = 6*f(b) - 5*z(b). Let t be a(3). Put 0, t, -43, -4 in descending order.\nAnswer: t, 0, -4, -43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11101 - -1?\nAnswer: 11102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 1064.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -21*r**2 + 21*r + 9. Suppose -5*x - 50 = 3*u, 4*x + 12*u - 16*u = -8. Let f(j) = -11*j**2 + 12*j + 5. Let q(i) = x*f(i) + 4*m(i). Determine q(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1126 + 1126.1. Which is the fourth biggest value? (a) 2\/7 (b) 0.3 (c) -0.55 (d) -2 (e) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2307*a = 82717 - 98401 + 135004 + 152906 for a.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 241 and 708299?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - 7*a - 5. Let u be h(-5). Suppose -u*x - 60 = -5*k, 4*k - 2*x + 5*x = 55. What are the prime factors of k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/6))**(-46) assuming d is positive.\nAnswer: d**(-23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 9 - 146 = -4*l, 5*l - 160 = -5*k. Let u = l + -223\/6. Is u greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(3\/1 + -1). Suppose -491 = -5*i - 3*p, -2*i - 93 = -3*i + v*p. Round i to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 24*o**4 + 28*o**3 - 116*o**2 + 52*o + 12 = 0.\nAnswer: -3, -1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 3:12 AM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-35)\/(-40) + 3\/24. Suppose -3*a + a - 4 = 2*c, -u = 3*c + 2*a. Solve c*h + t + 3 = 14, -5*h + 5*t = -5 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/5 equal to 32053\/130?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -4*i**2 - i - 7. Let u(r) = -12*r**2 - 3*r - 22. Calculate 2*u(b) - 7*x(b).\nAnswer: 4*b**2 + b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and 0.00871?\nAnswer: 0.29129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 k when two letters picked without replacement from {k: 7, u: 4, n: 3, y: 2, q: 1}?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 23007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gtetzzetgtg. Give prob of picking 1 g, 1 t, 1 z, and 1 e.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 6\/159 + 43200\/(-7155)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ueny when four letters picked without replacement from uyyyummyyhnheynuny.\nAnswer: 7\/8160","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vw when two letters picked without replacement from {n: 1, w: 2, p: 2, o: 2, v: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/(-32))\/((-14)\/8). Let t = 3.893 - -0.107. Which is the third biggest value? (a) f (b) t (c) -4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 13*y + 42. Let l be o(-8). Suppose -22*f = -l*f + 160. Put 2, 3, f in increasing order.\nAnswer: f, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -2\/17 (c) -0.24 (d) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 6) to base 3\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a milligram in micrograms?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2964286?\nAnswer: 2, 13, 23, 4957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of 2*z**7\/105 + 4*z**6\/15 - 2*z**5\/25 - 4*z**4\/3 + 2*z**3\/15 + 4*z**2 - 232*z. Solve r(v) = 0 for v.\nAnswer: -10, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - sqrt(891)*1)**2 + 0.\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.189 * -0.208.\nAnswer: 0.663312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3344918.2 rounded to the nearest 10000?\nAnswer: -3340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (-37)\/(555\/(-150)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of 5\/12*b**4 - 1\/5*b**5 - 16*b + 0 + b**3 + 0*b**2. Let v(p) = -p**3 + p**2 + p. Let n = -2 + 3. Calculate n*g(j) - 5*v(j).\nAnswer: j**3 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70.9203 nanometers to micrometers.\nAnswer: 0.0709203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sooxbfv. What is prob of picking 1 b and 1 x?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2300 divided by -100\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -72\/11 in -202, -4, 3, -1\/3, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from wvwvvwrww.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4695010?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -54*h*m**4 + 2*h*m**2 - h*m + m wrt m.\nAnswer: -648*h*m**2 + 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = -3*t + 5*t. List the prime factors of t.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 139858*x**5 - 24419*x?\nAnswer: 2797160*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147066*p + 3 - 3 + 265908*p + 273*p.\nAnswer: 413247*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-326*u - 116 - 324*u + 653*u)*(0 - 2 + 5).\nAnswer: 9*u - 348","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -293.9455 - -294. Round y to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 55986 + -33986. Calculate the highest common factor of g and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/4*182\/(-21). Let w = -8 + d. Suppose a - 2 - 2 = 2*z, w*z = 5*a - 40. Is 3 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 - 17 + 20*r + 6 + (1 - 3 + 0)*(-2*r + 0*r + 3*r) to w*r + g and give w.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjjjnbujjbjjjjj. Give prob of sequence jbj.\nAnswer: 13\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + 2 + -2 - -41. Suppose 2*y - 19 = -3*c, y - 4*c = -18 - 0. Find the second derivative of -g - y*g - o*g**4 + 34*g**4 wrt g.\nAnswer: -60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.08, 1, 2, -2\/7, 997, -1\/40 in increasing order.\nAnswer: -2\/7, -1\/40, 0.08, 1, 2, 997","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3*d = 2*l + 23, 0 = 4*l - 3*d - 31. Let q(y) be the second derivative of y**4\/4 + y**2 + 2*y. What is the remainder when q(l) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4*k - 6 = 0, -3*k = 4*f - 8*k - 3. Let u(n) be the first derivative of n**3 - 1\/4*n**4 - n**2 + 3 - n. Calculate u(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103176986 to the power of 1\/2, to the nearest integer?\nAnswer: 10158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -630?\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h + 2824 - 2824.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 63952272*u**2 + 36327370?\nAnswer: 127904544*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*(9 + 0) + -3. Let r be m\/40 - 56\/10. What is the third biggest value in 1, -4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 4*u - 36, 2*k - 4*u = -4 - 4. Solve -c = -2*a, k + 7 = -5*c - a for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05 + -149.\nAnswer: -149.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 406, 3277, 11080, 26281, 51346, 88741?\n\"Answer: 411*q**3 - 6*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 96?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-115)\/25 + 3)\/((-2)\/5). Suppose -8*w = -5*j - n*w + 542, 2*j - 230 = -5*w. What is j rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -123502 (base 8) to base 3.\nAnswer: -2011201212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1005052715 a multiple of 409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36005299\/54876 - 11154\/17. Calculate the common denominator of 75\/538 and n.\nAnswer: 3228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.388 + -0.7816. Let i = -6 + 6.4. Let p = i + g. Round p to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -2*t + 4*t. Let i be (t + (-8)\/4)*-2. Solve i*a - 4*f = 12, 0 = -4*f + f - 3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90)\/(-70)*(0 + 7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -5*t - 4*t**2 - 2*t**3 - 2 + 6*t + 2*t**2. Does 13 divide c(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120676*0.5\nAnswer: -60338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-243)\/(-252))\/(175824\/4736).\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21220?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.7437794 to one dp.\nAnswer: -4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6544 (base 7) in base 14?\nAnswer: bcb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4*i**3 - 8*i**2 - 3*i - 2. Let z(y) = -2*y**2 - y. What is s(l) - 4*z(l)?\nAnswer: 4*l**3 + l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 5 + 3. Let q be t\/(-9) + (-4)\/18. Suppose -6*k + 2*k + 120 = q. Is k a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 1094182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 6:50 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 315 = 14*k + 49*k. Let g = 2 + 1. Factor x**3 + 0*x**3 - g*x**4 + 0*x**5 + x**k - x**2 + 2*x**3.\nAnswer: x**2*(x - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/2)\/1*(-160)\/(-240).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 2*d - 11, -3*b + 9 + 9 = d. Let r(a) = 2*a**3 - 9*a**2 + a. Let y be r(b). What is the greatest common factor of 50 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 139345\/(-140) + (-17)\/68. Let h = y + 996. Find c, given that -3\/7*c**2 - 3\/7*c**3 + 3\/7 + h*c = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 1073*b + 6. Let u(w) = 117*w. Determine r(q) - 6*u(q).\nAnswer: 371*q + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3\/2 + 2529927*s**2\/2 - 1264962*s.\nAnswer: -3*s*(s - 843308)*(s - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 203, 349, 425, 425, 343?\n\"Answer: -k**3 - 29*k**2 + 240*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -59202954 divided by 9\nAnswer: -6578106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5865 + 5841 - 0\/(3*2\/(-3))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 5*a**2 - 4*a + 4. Suppose 5*g - c + 1 = 20, -3*c + 15 = 3*g. Let k(f) = f**2 + f - 1. Give g*k(y) + i(y).\nAnswer: -y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m**2 + 4*m + 1. Let l(w) = -1. Let i(k) = -k + 2. Let f(h) = -i(h) - 3*l(h). Let x(j) = 4*f(j) - r(j). Differentiate x(z) wrt z.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + -4. Suppose 3*p + 18 = -24. Let r = j - p. Solve 7*a - r*a + 12 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 16 = 5*v, -2*m + 81 = 5*v + 85 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 + 10. Let i be h\/(-25) - 4\/10. Which is the closest to -1? (a) i (b) -0.1 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2304478\/(-768174) + 1*3. Let a = k - -16376065\/139668. Let d = a - 118. Which is bigger: d or -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -30e183 + 2?\nAnswer: -30e181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*z - 46*z - 435776 = 0. Is 16 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -470 + 970. Round g to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-4))**(-12)*l*l*l\/((l\/(l\/(l**(-15)*l)))\/l*l)*l*l\/((l*l**(1\/13))\/l) assuming l is positive.\nAnswer: l**(870\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*r + 53*r + 1 - 120*r + 73*r**2.\nAnswer: 73*r**2 + 8*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**7*s\/((s*s**0)\/s*s)*s)\/(s**(-8)*s**(-7)*s)*((s\/((s\/(s*s\/(s*s*s**(6\/7)\/s*s)*s*s))\/s)*s*s)\/(s**(2\/15)\/s))**(-1\/38) assuming s is positive.\nAnswer: s**(17692\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-85)\/120)\/(99620\/(-52740))\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/(-588)*55\/(-6). Let z = j + 1\/196. Let l be 57\/21 + (-4)\/(-14). What is the second smallest value in z, l, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 101 - 56. Let m = 75 - j. Calculate the greatest common divisor of m and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9 + 7)*1\/5 - 0. Let l = -1 - -2. Is l greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -12 (c) 0.1 (d) -2 (e) -976 (f) -4\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of -h**6\/360 + h**4\/72 - h**2 - 18. Suppose s(w) = 0. Calculate w.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-11) + 10\/55. Suppose -30 = -b*f - 5*f. Suppose f = -5*a + 46. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 7:41 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 11*w**2 + 3*w - 7. Let q be o(6). Suppose -r - 2*n = -q, 2*r - 5*n - 478 - 372 = 0. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(13) - (sqrt(39)\/sqrt(3) + 0) - (-4 + sqrt(13)*-3)) + 2)*2.\nAnswer: 14 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*1\/(2\/564). Let p = 291 + d. Calculate the lowest common multiple of p and 114.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of 0*b**3 - 3\/20*b**5 + 0*b**2 + 1\/4*b**4 - 2*b + 0. What is the third derivative of j(c) wrt c?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -h*i**3 + 7*h*i**2*u + h*i*u - 23*i**3*u - i**3 - 31*i**2 wrt u?\nAnswer: 7*h*i**2 + h*i - 23*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.91 + 0.09. Let w = b - 12. Let o = -31\/846 + -1207\/1692. What is the nearest to 2\/5 in 1, w, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3211.189429 and 0.2?\nAnswer: 3210.989429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 5*z. Let d be m(-7). Suppose -3*b + 2*b = 780. Let q be (b\/(-7))\/((-36)\/d). Round q to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -137*d**3*w**2 - d**3*w + 20*d**3 - d**2*w - 824*d*w**2 wrt d.\nAnswer: -822*w**2 - 6*w + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -123 - 69. Calculate the highest common factor of h and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5+-4.21\nAnswer: -9.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1081, 9, 8, 3, 2, 1 in increasing order.\nAnswer: 1, 2, 3, 8, 9, 1081","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18095 or -90478\/5?\nAnswer: -18095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*o - 4*o + 667 + 559 - 347 + 288 in the form c*o + y and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 74\/77 - 18\/77. Factor -40\/11*h**2 + 0 + 50\/11*h**3 + t*h.\nAnswer: 2*h*(5*h - 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/9 or -87?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 - 2*r**2 - 6*r**2)*(-3*r**2 + r - r) + 0*r**2 + 11*r**2 + 4*r**4 + 0*r**4.\nAnswer: 22*r**4 + 11*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000001077 rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -227 + 4079*g + 111 + 116.\nAnswer: 4079*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 56 = -o - 3*o, 0 = -4*x + 4*o - 5*o + 7 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62399347?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 564 - 548. Which is smaller: n or 34?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/109395 + 2079722\/133133715. Let b = 92683\/65718 + q. What is the common denominator of b and 51\/2?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -0.4 (b) 4 (c) 164 (d) -0.06 (e) -2.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -73.3 + 52.3. Which is the closest to -2\/37? (a) 2 (b) m (c) 0.3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 77.06 * 2\nAnswer: 154.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b + 5 + 7 = 10*b - t, -48 = 48*b - 4*t for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44305, -88639, -132983, -177349, -221749, -266195?\nAnswer: -310699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -1\/4 (b) 2\/7 (c) 10 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*i**2 - 6438207*i + 6438207*i.\nAnswer: 22*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4677721 and 59956?\nAnswer: 1153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*l**3*m - 4*l**3*r**2 + l**3*r - 103*l*m*r**2 + 2*l*m*r - 32*m*r wrt r.\nAnswer: -8*l**3 - 206*l*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 10 - 10 + 0*n - 2*n. Let g(k) = 46*k**2. Give g(w(m)).\nAnswer: 184*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 270, 483, 594, 603, 510, 315, 18?\nAnswer: -381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7719788, 15439561, 23159334, 30879107?\n\"Answer: 7719773*r + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 3759?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 26*r**2 - 602*r - 93. What is d(23)?\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2287434347?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 16) in base 5?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97 + 596*g**2 - 166*g**2 + 26 + 21.\nAnswer: 430*g**2 + 144","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36860598?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = t - 28. Let b be 0\/(-5) + t*1. Suppose -p = -2*i + 5, -11*i = -10*i - 3*p. Put 4, -4, i, b in decreasing order.\nAnswer: 4, i, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 235601 + -15?\nAnswer: 235553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -50*k + 85. Let g(l) = -3*l + 5. Give -2*b(r) + 35*g(r).\nAnswer: -5*r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjkwjgwjjjjwjj. What is prob of picking 3 w?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/319)\/((-37)\/(-407)).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4*o - 4*s + 5 = 0, 0 = 4*s - 4. Put 3, 0, o in decreasing order.\nAnswer: 3, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 671806 (base 9) to base 10\nAnswer: 401604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 255467 + -133558. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + 3. Calculate the remainder when 50 is divided by u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from appaaa.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 f when three letters picked without replacement from fhffffhffa.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/6 - 8*4\/32.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 0.11222 (b) -0.4 (c) 53 (d) 0.3 (e) 2\/5 (f) 3 (g) -5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4\/593 + 1680\/102589. Let a = 302\/1903 + w. What is the biggest value in a, -4, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4539 + 90759\/20. What is the common denominator of 17\/180 and u?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.33 (b) 2 (c) 8\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bnb when three letters picked without replacement from {d: 3, b: 3, n: 12}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/7 (b) 4 (c) -0.1 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -148, -298, -448?\n\"Answer: -150*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*l - 6*l = 0. Suppose -q - y + 13 = 2*y, l = -2*q + 4*y - 4. Solve 2*h + q*p - 18 = 0, -4*h + 2*p - 9 + 25 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 999 is divided by 248.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40 + -41. Suppose 5*h - 12*h - 2982 = 0. Let g be (h\/(-120) + -4)*(-5)\/6. Which is bigger: t or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40 (base 9) to base 7.\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m + 2. Let b be k(0). Suppose 15 = -b*l - 3*j - 10, 3*l = -4*j - 36. Round l to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 2*o**5\/5 + 92*o**4\/5 + 166*o**3 - 924*o**2\/5 = 0.\nAnswer: -33, -14, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -37 - (11 + (-1 - (-16 + 8 + 19)))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 48\/(-108) - (-147)\/27\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/421792 and -53\/24?\nAnswer: 1265376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -804, 3, 2.\nAnswer: -804, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*o**5 - 186*o**4 + 555*o**2?\nAnswer: 180*o**2 - 4464*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2926*c**5 + 37*c**4 - 4*c - 199379 wrt c?\nAnswer: -58520*c**3 + 444*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-1*1)\/((-18)\/18)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2*-4 - (-44)\/24?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128\/1280 + (14 - 9 - 5).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by 36.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j**3\/2 + 137435*j**2 + 3777675845*j\/2 = 0. What is j?\nAnswer: -27487, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f + 28 = 10 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or 8759?\nAnswer: 8759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-51))\/(-9 + 75\/9). What is the closest to j in 2, -2\/5, 5, -4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 152?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 3:30 AM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0 - 17572\/(-16) - (-4)\/(-16).\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*sqrt(51))\/(sqrt(432)*2).\nAnswer: -sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 110.1 - 112. Let c = v - -4.9. Let j = 15 - 11. Are j and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4360 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 - 43 = -5*y + 4*l, 2*y = 4*l + 32. Suppose 12*f - 45 = -45. Solve f = -5*r + y, u + 18 = 4*r + 2 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 31*y - 463. Let h be p(42). Do h and -42\/143 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 + -30. Let f be d - (-117)\/(-17) - (-12)\/(-102). Let y(c) = 2*c**2 + 2*c + 5. Let r(v) = -1. Let n(j) = f*r(j) - y(j). Determine n(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3769472 rounded to 2 decimal places?\nAnswer: -2.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 h when four letters picked without replacement from {h: 3, z: 3, c: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-112*m**3 - 54 + 54)*(13 - 26 + 17 - 2*m).\nAnswer: 224*m**4 - 448*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1604 divided by 401\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2374 minus 370770580?\nAnswer: -370770579.7626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 169160163 and 272.\nAnswer: 169160435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -205 + 385. List the prime factors of u.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2989500 to the nearest one hundred thousand.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3 = 19. Is 0 + y + -5 + 8 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -1.331, 449\/5?\nAnswer: 449\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - i - 1. Let j be u(3). Suppose j*t - 16 = -1. Solve t*v = -4*r + 18, -9 = 2*v - 3*r - 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -r**8\/840 + r**6\/100 - r**5\/75 - 9*r**2\/2 + 8. Let b(w) be the second derivative of g(w). Factor b(k).\nAnswer: -2*k**2*(k - 1)**2*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 1. Let a(m) = -m**2 + 15*m - 76. Let p(g) = a(g) + 4*u(g). Differentiate p(s) wrt s.\nAnswer: -2*s + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + 0)*-6 + sqrt(5))*-5 + (sqrt(30) - -1*sqrt(750))\/sqrt(6).\nAnswer: 31*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 122 - 123 - (40 + 3) - -16?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7727*a**4 + 3237*a**2 + 22617289 with respect to a.\nAnswer: 30908*a**3 + 6474*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y + 653 + 677 = 0. Calculate the remainder when y is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**3 - 6*x**2 - 33*x + 99. Let q be n(3). Solve 0 = 4*y - 12, q = 5*a - 6*a - 3*y + 14 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 10*w**2 - w - 2. Calculate g(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 59*g + 118. What is o(-3)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeee when four letters picked without replacement from eeeeeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 584\/9 or 2?\nAnswer: 584\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6596606?\nAnswer: 2, 653, 5051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72\/32*(-64)\/3*-8.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-30 - -28)*((-5)\/2 - -1). Suppose -u - 1 = -4*z - 12, -8 = -u + 5*z. Suppose -o + u = l. Is 7 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*r**2 - r**2 - r**2 + r + 15*r**2 - 1 to the form i*r + c*r**2 + l and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 104423 and 13552.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 13 = -333*v + 337*v - 11, -3*v + 18 = -4*o for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 19, -2 in increasing order.\nAnswer: -2, 3, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -c**4 - 3576*c**3 - 7149*c**2 - 3574*c = 0?\nAnswer: -3574, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8314*w**2 + w + 14662 with respect to w.\nAnswer: -16628*w + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/2 + 548448*n + 1096895\/2.\nAnswer: (n + 1)*(n + 1096895)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -0.2. Let y = 2\/131 - 296\/2227. Do y and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 296 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21169?\nAnswer: 21169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -7*c**2 - 5*c. Let q(i) = -i**2 + i. What is -o(l) - 5*q(l)?\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 k when four letters picked without replacement from ttttttttttkt.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -439*k**3 + 437*k**3 - 5*k**2 - 23*k**2 in the form d*k**2 + w*k + y + x*k**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65871*d + 1349 = -65800*d for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(99) + sqrt(99) - sqrt(99) - sqrt(99))*-1 + 4*sqrt(132)\/sqrt(432))**2.\nAnswer: 539\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -10*w + 19. Let q(c) = 11*c - 22. Calculate 5*q(n) + 6*s(n).\nAnswer: -5*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 8:55 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 12622 + 221*u - 12622 in the form x + c*u and give c.\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36541 is divided by 151.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q**2. Let p(a) = 1206274*a. Give p(o(b)).\nAnswer: -3618822*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -29*c**2 + 2*c + 36*c**2 - 4 + 10*c = 0. What is c?\nAnswer: -2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 1:11 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -70 or -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22\/3*147\/14 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**4\/5 + 1646*q**3\/5 - 334512*q**2\/5 - 342792*q = 0 for q.\nAnswer: -5, 0, 414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ng when two letters picked without replacement from {g: 3, m: 5, n: 5}?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -18 * 763.6\nAnswer: -13744.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - -6 - (-21 + 7 + 19). Solve -b*l + 14 - 22 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 56252.205 seconds?\nAnswer: 15.6256125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 215*p + 34*p**5 - 215*p + 3*p**5 - 5*p**5 + 4*p**5 + (-2*p**5 + 3*p**5 + p**5)*(-3 + 1 + 0) + 0*p**4 + 0*p**4 - p**5.\nAnswer: 31*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 14*i - 33. Determine g(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2)*j)**(1\/8)\/((j**0\/j*j)\/(j\/(j\/(j*j**(3\/5))*j*j))))**(2\/129) assuming j is positive.\nAnswer: j**(-7\/860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 4, 4*j + 24 = -0*h - 4*h. Let t be (2*(-1)\/j)\/1. Let f = 271\/104 + -29\/13. What is the nearest to 2 in t, f, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p + 11*p = 12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 3*j + 365 - 11, 4*j + 269 = 3*o. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -35*s**2 + 8*s + 9. Let y(p) = -p**2 + p + 1. Let d(f) = -o(f) + 6*y(f). Calculate the remainder when d(-1) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 6*a**2 + 7*a + 3. Let f be s(6). What is the greatest common divisor of f and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 5*u - 4. Let x be b(3). What is the highest common factor of 88 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 48889.92 microseconds?\nAnswer: 48889920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.5, -7, 75, 3\/2, 1\/8, -2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227155?\nAnswer: 5, 181, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 71697, 71582, 71463, 71340, 71213, 71082, 70947?\n\"Answer: -2*z**2 - 109*z + 71808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 6 + 1)*(1 - 1 - s**3) + 113*s**2 - 113*s**2 - 209*s**3 to the form l*s**3 + f + n*s**2 + m*s and give l.\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of p**6\/15 + p**4\/2 - 10*p. What is the third derivative of l(d) wrt d?\nAnswer: 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y - 21. Let z be k(-20). Let x be (-170)\/3 - 4*z\/(-12). Is -58 less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 429682, 429732, 429814, 429928?\nAnswer: 430074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28425\/1516)\/(220\/(-16)).\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 18, 1, 0, 49 in ascending order.\nAnswer: -5, 0, 1, 4, 18, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 2*q + 2. Let u(k) be the second derivative of k**3\/3 - k. Let l be u(-2). What is the tens digit of y(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 196\/112*4*(-360)\/(-1470)?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((108\/18)\/(36\/(-8)))\/((-114)\/9)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28205*n*r**6 + 4*n*r**5 - 48*n*r**2 + n*r + 13*n - r**2 - 10*r wrt r.\nAnswer: -3384600*n*r**3 + 240*n*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 3 + (0 - 7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*d = -39*d + 7. Let j be (d - 1)\/(16\/32). Put j, 1, 8 in decreasing order.\nAnswer: 8, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 2, d: 17}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 330 divided by -6?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of b**4\/6 + 2*b**3 + 7*b**2\/2 - 4*b. Let r be c(-8). Let s = r - 13. List the prime factors of s.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -930*p + 752 + 3*p**2 + 930*p - 752.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l + 1. Let c(z) = -4 - 2*z + 1 + 4 - 2*z. Let k(s) = -c(s) - 3*x(s). Determine k(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -564 = -3*s - 9*s. Suppose 4*z + 35 = 2*i - 21, z + s = 2*i. Let l(a) = 9*a. Calculate the remainder when i is divided by l(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**3\/9 + 268*h**2\/9 + 1030*h\/9 - 1300\/9 = 0. What is h?\nAnswer: -130, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 - 68 + 17 + 53*d + 27)*(-11*d + 0*d + 9*d).\nAnswer: -106*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**9\/(c*(c*c**27)\/c) assuming c is positive.\nAnswer: c**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 283.9 and 0.542.\nAnswer: 153.8738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i**2*n - 31260*i**2 - i - 7*n**3 - 393*n**2 + 2 wrt n.\nAnswer: -2*i**2 - 21*n**2 - 786*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/(-30) + (-99)\/(-40). Let x = h + -9\/4. Let q = -3.11 - 0.89. Which is the fourth biggest value? (a) x (b) q (c) -3\/2 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*-3*(-6)\/9. Let r = -6 - -15. Let j(p) = -3*p + 4. Let y(f) = -17 + 3*f + 4*f + 6*f. Determine h*y(z) + r*j(z).\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6723 - 747*d - 6726 + 2*d**3 + 13449.\nAnswer: 2*d**3 - 747*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 18312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -34*l + 1187. What is j(29)?\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -0.6. Let y = 0.2 + d. What is the nearest to -1 in -2, -4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-156)\/(-7)*(-840)\/(-16). What is b rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 248565?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -10. Let s be 4\/j*(-35)\/10. What is the derivative of -s*d - 5*d + 1 + 17*d - d wrt d?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3061*h + 60 = 3065*h + 3*t, 2*h - 30 = 143*t for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/135*0)\/((-4)\/4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 138748*d*p**5 + 2*d*p**2 - 135*d*p - 4*p**2 - 4 wrt p?\nAnswer: 8324880*d*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 5, 3562 in ascending order.\nAnswer: -3, -1, 5, 3562","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/10 - (-1)\/(-2). Solve d - a = -h*a, 15 = 5*d - 2*a for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 - 2 + 1)*(-2 + 1 - 2) + 5 + 3 - 4)*(-170*p - 31 + 29 - 137*p) as m + w*p and give m.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -4*t**2 + 7*t + 3. Let n(m) = 2*m**2 - 3*m - 1. Let w be -4 - ((-36)\/2 - 1). Suppose w = 2*q + 5. Calculate q*n(r) + 2*i(r).\nAnswer: 2*r**2 - r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/12)\/(10\/(-80)*4))\/(84\/(-30492))\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -u**4\/2 - 6*u - 13. Let m(p) be the first derivative of v(p). Let c(h) = -3*h. What is m(c(j))?\nAnswer: -54*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + (-9 - (-30 + 6)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2554 - -1737. Let r = d + 817.00357. What is r rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30f889 (base 16) in base 14?\nAnswer: -5d7837","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1683989 - 1?\nAnswer: 1683988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/(-2) - 0)*-22. Let y be (-902)\/v - (-4)\/10. Let l be 1\/((0 + y)\/2). Which is the smallest value? (a) -0.1 (b) 3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -6 (b) 2 (c) -0.3 (d) 40 (e) 4 (f) -4 (g) 18\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159*b + 38921365 + 14623634 = 0. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 454.8494g?\nAnswer: 0.4548494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 791773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 692580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.1 + 2.1. Sort 2\/9, -2, v in descending order.\nAnswer: v, 2\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14.1 - 13. Let r = 3.9 + j. Which is the biggest value? (a) r (b) -0.1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + (-4)\/8 + 300709532\/(-136). What is u rounded to the nearest 10000?\nAnswer: -2210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*d*m**4 - 7*d*y - 723382*d - 2202750*m**4*y + 4*y - 2 wrt m?\nAnswer: -8*d*m**3 - 8811000*m**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or 29\/5?\nAnswer: 29\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 6*b**3 + 5*b**2 + 7. Let u(v) = -2*v - 3 - 3 + 4. Let y be u(-1). Let g(q) = q**3 - 6*q**3 + y*q**3 - 4*q**2 - 6 + 0*q**3. What is -7*g(p) - 6*h(p)?\nAnswer: -p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11 or 131062?\nAnswer: 131062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 8) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -11*k + 13 + 18 - 31. Let m(r) = 8*r + 7. Let s(y) = -4*y - 3. Let o be 1 + 10\/2 + 1. Let j(i) = o*s(i) + 3*m(i). Calculate 8*j(f) - 3*l(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/5880468 and 80\/39?\nAnswer: 76446084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 227\/5 - 14\/35. Suppose 4*g - 15 = l. Let v be 2\/g*(4 + -5). Which is the closest to -1? (a) 0.4 (b) v (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 23.9, -0.1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -0*x + 115. Suppose 0 = -3*l + 4*l - 4*v + x, 4*l + 66 = 3*v. What is the remainder when 10\/(-25) - 126\/l is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + 11*m - 46. What is the remainder when 296 is divided by x(-18)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0)**(1\/2)*z**3*z*z**10 assuming z is positive.\nAnswer: z**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -646*x**3 - 28*x**2 - 6*x.\nAnswer: -3876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -7*k + 174. Let b be z(24). Suppose b*r - 56 = 58. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, v: 2, p: 1, n: 4}. Give prob of picking 1 p and 1 n.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - -73. List the prime factors of j.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1220222202 (base 3) in base 2?\nAnswer: -1001010000001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -410, -617, -972, -1475, -2126, -2925?\n\"Answer: -74*f**2 + 15*f - 351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 5*t**2 + t - 6. Let x be w(5). Let v be (-6)\/33 - -18*x\/22. Which is smaller: -2\/29 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 6 = -2*q, -4*q + 2 = -j + 14. Let l be 22\/6 + (-2)\/(-6). Solve -l = x - j*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c + 9. Suppose 0 = 4*b - s + 17 + 3, -s = 0. Let g(v) = -v + 9. Let w(d) = b*i(d) + 6*g(d). Calculate w(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + u + 5 = 3*n, 0 = 2*n + 3*u - 7. Let y(f) = 213*f - 1. Let o be y(n). Suppose g = 6*g - o. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 102*x**2 + 75*x + 1. Let g(a) = -1063*a. Determine g(s(l)).\nAnswer: -108426*l**2 - 79725*l - 1063","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 466 is divided by 88.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*q - h + 3, -3*h = -3*q - 3. Let m(s) = s**2 + 3*s + 4. Let l be m(q). Suppose 8*v - 10*v = -l. Solve 5*p - 12 = v*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from ucmuucummcmmxmccc.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 229.1056054 to 0 decimal places.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6304 or 6177?\nAnswer: 6304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/75 and 107\/300.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-3 + 10 + -7)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, x: 1, z: 1}. What is prob of sequence zf?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - f + 101. Let u(z) be the first derivative of z**4\/4 + z**2 + 27*z + 74. What is the remainder when r(0) is divided by u(0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u + 1. Suppose 3 = -5*g + 4*o + 2, 3 = 5*g - 3*o. Determine l(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -9. What is the nearest to -1 in 1\/3, -1\/2, j?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_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: -14257 (base 8) to base 7\nAnswer: -24265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n + 45. Let r be o(0). Let q = -189 - -193. Suppose -3*w = -y - 1 - 10, -4*w + 36 = q*y. Solve k - y*k + s = 20, -4*s = -5*k - r for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2623 + 390. What are the prime factors of a?\nAnswer: 23, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hphppffhffhffpffpff. Give prob of picking 1 p and 1 f.\nAnswer: 50\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-238)\/(-357))\/(58\/(-24) - (-4 - -1))?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 d, and 1 x when three letters picked without replacement from xppppdxppppppxpdpxx?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-55 - -2) + (42 - (55 - 17))\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.1 (b) -0.03 (c) 0.0358\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**21*j)\/j)**(2\/85)\/(j*j*j**(-3\/11))**(13\/2) assuming j is positive.\nAnswer: j**(-20071\/1870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d - 1. Let g(j) = 216*j - 22. Let w(x) = 29*x - 3. Let a(c) = 2*g(c) - 15*w(c). What is -6*a(r) - 10*t(r)?\nAnswer: -2*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*i**2 - 66*i**2 - 50*i**2 + i**2 + 2*i**2 - 4*i**2 + (-2 + 2 - 7*i)*(-i - 4*i + 3*i))*(3*i**2 - i**2 - 4*i**2)*(-2 - 2 + 3).\nAnswer: -174*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**3 - 18*w**2 + 20*w + 90. Let x be g(-7). Are x and -247 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 46497 and 46387098?\nAnswer: 510258078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 4. Let a(n) be the first derivative of -n**3\/3 - n**2\/2 + 12000*n - 1. Let r be a(v). Round r to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1833774*v + 0*v**3 + 1833774*v - 2*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 4.3. Let w = o - 0.2. Put 0.4, -2, w in decreasing order.\nAnswer: w, 0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5445)*-2)\/(2*sqrt(1089)).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -146 + 1316\/9. Let i = 11 + -11.1. Which is the biggest value? (a) i (b) j (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1376967.\nAnswer: 3, 277, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 186\/(-434)*1\/(-1).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n. Let u(t) = -6*t**2 + 52*t - 52*t. Give u(d(s)).\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((2\/(-4))\/((-3)\/(-3)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuggnhuuhunuggc. Give prob of sequence gu.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/100*-3)\/(222\/(-370))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*sqrt(24))\/(sqrt(400)\/sqrt(2)).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 9*s**2 + 5*s + 24. Calculate w(10).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((23\/(-115))\/((-1)\/3))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 261 at most 262?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t**2 + 4*t - 3. Let g(x) = 2*x**2 - 3*x + 3. Let u(b) = -3*a(b) - 4*g(b). Let o = 843 - 839. What is u(o)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 902*m**3 + 1109*m - 1?\nAnswer: 5412*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 5 + -5 - (0 + -7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -302\nAnswer: 906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -9*u**3 - 3*u**2 - 7*u - 14. Let o be k(-2). Let f be (86\/4 + 1)*24\/15. What is the highest common divisor of f and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(20) - sqrt(180)))\/(-1*sqrt(64)).\nAnswer: 5*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 5*t - 26 = v, 0 = 2*t + 10. Let i be -2*v*(-19)\/(-2). Let o = i + -16. Solve -2*l + l = -o, 0 = 3*g - 4*l + 27 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.7 + 2.2. Let o = p - 0.5. Sort 0.1, -0.2, 0.2, o in decreasing order.\nAnswer: o, 0.2, 0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1202 - 1280. Let p = -55 + 31. What are the prime factors of (b\/p)\/((-1)\/(-16))?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of p**4\/12 - 5*p**3\/6 - 61*p**2\/2 - 7*p + 1. Let y be w(-6). Solve -15 = -s - 4*s + 5*b, y*b = -s - 27 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*g = 82*g - 24 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 + 38*h - 6. What is the remainder when c(6) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n**3 + 4*n**2 - 2*n + 5. Is i(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222 a factor of 3702159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence za when two letters picked without replacement from yykkyyyaskyyzyykkky?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**2. Let b(n) = 7*n**2 + 5*n + 10. Let a(w) = 3*w**2 + 2*w + 4. Let y(r) = -5*a(r) + 2*b(r). Let l = -65 + 70. What is l*y(p) + 3*i(p)?\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*h*q**3 - 37615*h*q**2 - 116*q**3 wrt q?\nAnswer: -60*h - 696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 445?\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7949 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/6 and -3 + 8 + 8284\/(-1560)?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 743976.1mm to meters.\nAnswer: 743.9761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*t = -15, -1 = 3*x + 2*t - 2. Let a = x - -5. Calculate the lowest common multiple of 14 and a.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 25004 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -130030 - -362345?\nAnswer: 232315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/4 + 2*j**2 - 19*j\/4 + 5\/2.\nAnswer: (j - 1)**2*(j + 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/2*3*-1. Suppose -s*b = b - 324. Suppose -3*p - 41 = -3*a + 67, -2*a + b = -5*p. Is a a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 6*o - 49. Let s be r(7). Let h(j) = 5 - 3*j**2 + 0*j**3 + 7*j - 3*j**3 - 2*j**2. Let q be h(s). What is q rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82012 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5*t - 20 = 0, 0*u + u - 5*t + 10 = 0. Suppose 4*d = u*c + 201, 0*c - 103 = -2*d + 5*c. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -4*y**2 + 24*y - 2. Let d be h(12). Let j = 308 + d. Does 9 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 - 17. Let k(q) = -q**2 + 21*q - 15. Let a be k(20). Suppose a*r - m = 4. Solve 7 = -j - 4*h, 0 = r*j - 2*h + 6*h + 13 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 142, 1100, 3690, 8728, 17030, 29412, 46690, 69680?\nAnswer: 99198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/7)\/(2*(-21)\/98 - 0)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n + 181 = 4*o + 15*n, o + 5*n - 49 = 0. What is the greatest common factor of 3168 and o?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 27297 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 25\/(-66)*(-15984)\/(-6660)\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 556 + -838. Let p = -3104\/11 - a. What is the second smallest value in -1\/2, p, -1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 1. Let j(f) = 3*f**3 + 6*f**2 - 2*f - 7. Let w(q) = -j(q) - 2*m(q). Let p be -38 - (1 - (4 - 2)). Let b = p - -31. What is w(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.6 bigger than -33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (5 + -13) - -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a*n**4 + 3874*a*n**2 + a + 53*n + 168 wrt n?\nAnswer: -24*a*n**2 + 7748*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -291 + 301. Suppose 140 = w*p + 18*p. Solve 4*d = -0*d + 3*v + 17, -4*d + 25 = p*v for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -59362 to the nearest 1000.\nAnswer: -59000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*n + 378 = -37*n - 42*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 10 = 3*y. Let n be (-6)\/2*(26 - 3). Is 14 a factor of 3 - (n\/y + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20*o + 63*o + 12*o + (-2 + 3 - 3)*(0*o + 0*o - o))*(0 + 5*o + 0)*(-2 + 1 + 2) to b + v*o**2 + a*o and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w**(-10)\/w*w)\/w**(6\/11))**(-44) assuming w is positive.\nAnswer: w**376","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-8\/7)\/x*x)\/x)\/(x*(x\/(x**(-14)\/x))\/x) assuming x is positive.\nAnswer: x**(-127\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**45\/(r**(2\/3)\/(r*r\/(r*r**3)*r*r))*(r\/(r\/r**4)*r*r*r*r**(-4))\/(r*r**4*r\/r**(-5)) assuming r is positive.\nAnswer: r**(109\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 + -43\/2. Let i = -5 - -2. What is the closest to -2\/7 in i, 1\/5, v?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-130)\/(-78)*3\/1. Solve 4*j + 5*z + 13 = 0, z - u = -5*j - z for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 101574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a41 + 2a8?\nAnswer: ce9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**4 - 3362*b**3 + 2805*b**2 wrt b?\nAnswer: 48*b - 20172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 135, 136, 137, 138, 139, 140?\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 5*o + 1. Let f(p) = -5*p**2 - 28*p - 9. Let h(v) = f(v) + 6*z(v). Give h(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -6 + 5 + (4 - 4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-8) + 36\/32. Is l greater than or equal to -3\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 3:00 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2138*p**3 - 2*p - 226?\nAnswer: -12828*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-288)\/150 - -2)\/(18\/45)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1110*f**2 + 187*f - 7.\nAnswer: (5*f + 1)*(222*f - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 400135 is divided by 99866?\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 10*q**2 - 9*q + 3. What is l(-7)?\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.067353506 and 0.1282.\nAnswer: 0.060846494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, f: 2, o: 2, r: 1, u: 1, t: 1}. What is prob of picking 1 u, 1 t, and 1 q?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 c, and 1 k when three letters picked without replacement from lklplvlpikkvpc?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.000020938447 to six decimal places.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/3)\/(99\/(-594))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3036\/(-693))\/(-46))\/(((-32)\/12)\/2).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 13 = -61. Let u(f) = -13 + 4 - 10*f - y*f. Is u(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 + (4 - 17) - (14 - -1)) + 4\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -77044 divided by -44?\nAnswer: 1751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2279343439 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: What is the next term in -10550, -16466, -22380, -28292, -34202, -40110?\nAnswer: -46016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1665, 3360, 5055?\n\"Answer: 1695*n - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -108 - (-66 + (102 - 18))\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -53, -6, -127, 2 in decreasing order.\nAnswer: 3, 2, -6, -53, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4707*j + 1254 wrt j.\nAnswer: -4707","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -46*o + 4 - 4 - 95*o**3 + 43*o + 241*o**3 as h*o**2 + v*o + b*o**3 + k and give b.\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-1 - (5 - 8))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -414 = -7*j - 2*j. Find the common denominator of (1\/(-2))\/(57\/j - 1) and 5\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -139, -1, 2 in increasing order.\nAnswer: -139, -1, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 107750 >= 107752?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.55, 4, 0.025, -1, -4.\nAnswer: -4, -1, 0.025, 0.55, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 35048 (b) -4 (c) 10 (d) -3 (e) 3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 4:54 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 6. Let u be 2 + -5 - (2 - k). Let d be -2*(-1 - 1)*u. Solve -20 = d*t + t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**5*j)\/(j\/(j\/j**3)))\/(j\/(j*j\/j**13*j)*j**9))**(-17) assuming j is positive.\nAnswer: j**442","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 9, -853155, -0.4 in descending order.\nAnswer: 9, 2, -0.4, -853155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + b + 4*q = 220, -3*b + 4*q + 360 = 0. Calculate the remainder when b is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12299 - 8570. What are the prime factors of g?\nAnswer: 3, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1387?\nAnswer: 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1146195468?\nAnswer: 2, 3, 11, 593, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*k - 4*k + 6*k + (-1 - 3 + 3)*(3*k + 5*k - 2*k))*(-3 + 19 - 2) as x + u*k and give u.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -473*d - 494*d - 516*d + 1485*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 16*z**2 + 30*z + 30. Let a be u(-14). Let s be a\/(-6) + -42*(-4)\/180. Factor -1\/5*v**2 + s - 2\/5*v.\nAnswer: -(v - 1)*(v + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, 0.6, 11\/19?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 119*s + 838. Let x be c(-6). Solve -x*l + 116*l = -24 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*s, -i - 2*s + s = -5. Suppose -i*n - o = -24 - 25, 3*o + 3 = 0. Let q be 65\/n - 4\/(-10). What is the smallest value in -1, 1\/3, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of 1\/672*l**8 + 0*l**3 - 1\/840*l**7 + 0*l + 0*l**5 + 0*l**4 - 1\/480*l**6 + 0 + 4*l**2. Find w such that y(w) = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 0, -45\/13, -1149, 8\/3?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 35*q**2 - 12*q - 6. Let o(y) = -76*y**2 + 26*y + 13. Let g(u) = 6*o(u) + 13*t(u). Let l(i) = 2*i**3 - 3*i**2 + i + 4. Calculate 3*g(d) - l(d).\nAnswer: -2*d**3 - d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 69, -1 in decreasing order.\nAnswer: 69, 10, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 89874 and 286628158.\nAnswer: 9986","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 70732\/5 - 14147. Let o = -0.24 + -0.06. Let k = 3.7 - o. Which is the biggest value? (a) v (b) -1\/8 (c) -0.3 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 3*k = 0, 3*b - 5 - 1 = k. Let u be ((-5)\/(-3))\/((-145)\/(-174)). Let y be (2 - u)\/(-1 + 2). Solve 0 = 4*o - y*d + 2*d, -b*d = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -168*u**5 + 176086*u**4 - 43752*u**2 + 1390 wrt u.\nAnswer: -10080*u**2 + 4226064*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(40\/5))\/(-2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 139*w + 123*w - 90*w - 205*w to the form d + f*w and give f.\nAnswer: -311","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1390*f + 0*f**3 + 16*f**2 + 1391*f + 6*f**3 - f**4 to the form s + h*f**4 + m*f**3 + y*f + j*f**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 12*j**2 - 468*j - 9. Let t(u) = 5*u**2 - 224*u - 5. Determine 2*i(s) - 5*t(s).\nAnswer: -s**2 + 184*s + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 4226240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 221769?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 6*s**2 - 8. Let p be x(-4). Suppose -7*r + 8*r - p = 0. What is the remainder when r is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + 7*c - 3. Let q be s(-8). Solve -q*r - 7 = -2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -67 - -95. Let j = g - 28.00000055. Round j to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-486 - (-579 + 109)) + (-108 - (-2 - (-1 + -1)))?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13\/287 + -4\/41. Suppose 10*w + 6 = -5*m + 8*w, -4*w = -4*m - 16. What is the nearest to 2 in 0.2, m, v?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, j: 2, x: 1, l: 4}. Give prob of sequence jl.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -20 + 15*u + 6*u**2 + 7 - 7*u**2. Let r be j(14). Let t be (-1 - -1*16)*(-9)\/(-27). Put 4, t, r, -1 in increasing order.\nAnswer: -1, r, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -14. Let y = -3 - k. Let w be (2 - 10)*(-7)\/y. What is the greatest common factor of 224 and w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 42, 46, 50, 54, 58?\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 251400413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 69 = 3*c, -2*u + 5*c = -43 - 20. Calculate the highest common divisor of 39 and u.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -147387936 by -2.\nAnswer: 73693968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of -6*h**6 + 28*h**5\/5 + 29*h**4 - 4*h**3 - 40*h**2 - 16*h + 179. Solve q(z) = 0 for z.\nAnswer: -1, -2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 3. Find v such that v - 4*v - r*v**2 + 14*v**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37107298 and 1278.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 8, 15 in ascending order.\nAnswer: 8, 15, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - 3. Let h = -11 - m. Solve i + i + 2*x - 2 = h, -i + 25 = -5*x for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 0*a - 4*a)*(1 - 1 + 2*a**2) + a**3 + 0 + 0 + (0*a - a + 0*a)*(10*a**2 - 20*a**2 - 36*a**2) + a**2 - a**2 - 2*a**3.\nAnswer: 41*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 0.1784277 seconds?\nAnswer: 0.00004956325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -1) + (-30)\/21\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5863a3 (base 11) in base 2?\nAnswer: -11100011010000011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of -d**4\/2 - 2*d**3\/3 + d**2\/2 + d. Let f(q) = -q**2 - q. Suppose 9*x - 45 = 18. Let w = x + -6. Give w*p(t) - 4*f(t).\nAnswer: -2*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/6*((-170)\/119)\/(240\/336).\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 454?\nAnswer: -453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 26192984189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 34*g + 2500 = 0. Does 11 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*v - 90*v = -48. Calculate the smallest common multiple of (-12)\/v - -3*21 and 0 - (4 - 2 - 20).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -96b76 (base 12) to base 3.\nAnswer: -101002112000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -40907?\nAnswer: -40907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1*2\/6)\/(8\/3). What is the smallest value in -2\/7, -2\/13, q?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = s + 8571 - 2260, 0 = -v - 4. Is s != -6322?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-93)*1*(83291\/1788)\/(-559)\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 2 - 10. Suppose -6*t + 9*t + 65 = j, 240 = c*j - 2*t. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19108*g = 19133*g + 150 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + 3524*w - 31639. Calculate l(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.011459082 to 4 dps.\nAnswer: -0.0115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2548) + sqrt(2548)*-1)\/(sqrt(16)*-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwjjhhhwww. Give prob of picking 2 w.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -3*y**2\/2 + 14*y - 12. Let k be n(10). What is the common denominator of (52\/(-18))\/(k\/(-60)) and -43\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -c. Suppose k - v = -0*v - 1, c = 4*k + 3*v - 24. Let u(r) = r**3 - r + 7. Is 12 a factor of u(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) -3.6 (c) 5 (d) -15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j + 5 = 57. Let c be (-2 - 28\/(-4)) + 0. Suppose -5*y = u + 2, -c*y - 5 = -u + 3. Solve -n - j = -u for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 1295?\nAnswer: 1291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -13838 (base 9) in base 10?\nAnswer: -9431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s**2 - 5*s + 47. Let w(g) = 10*g**2 - 16*g + 142. Give -16*c(o) + 5*w(o).\nAnswer: 2*o**2 - 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -1. Let w(l) = l + 13. Let u be w(16). Let p = u + -29. What is the second biggest value in 3, x, p?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 10*r**3 + 7*r**2 - 7*r - 7. Let a(h) = h**3 + h**2 - h - 1. What is -21*a(g) + 3*k(g)?\nAnswer: 9*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26190?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3 + 6951*q**2 - 139920*q + 701100.\nAnswer: 3*(q - 10)**2*(q + 2337)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 20, -3*a - 3*g - 11 = 76. Let h(y) = y - 32. Let k be h(14). Let p = k - a. What is the greatest common factor of p and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**0\/y**40 assuming y is positive.\nAnswer: y**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13959752 is divided by 4653249?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.09260373 rounded to two dps?\nAnswer: -1.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*s = 42*s + 111*s - 1088250. Calculate the remainder when s is divided by 66.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*w + 3835 = -5028 + 218 for w.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**3 - 2*q**3 - 3*q**3)*(-q - 4*q + 4*q + (-3 + 7 - 2)*(4*q - 3*q - 3*q) + q + 0*q + 0*q + 67 - 67 + 12*q).\nAnswer: -16*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 384\/36 + 4\/(-6). Suppose -3*h + v = 4. Let o(a) = -a**3 + 2*a**2 - 1. Let n be o(2). Sort n, h, -2.\nAnswer: -2, n, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -90*a**2 + 5950*a - 4185. Let d(i) = -15*i**2 + 992*i - 696. Let p(h) = 25*d(h) - 4*m(h). Suppose p(u) = 0. What is u?\nAnswer: 2\/3, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26 or -81?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4*x - 6. Let b = -9 + 11. What is the smallest common multiple of u(4) and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-34)\/(-8) - (-33)\/44. Suppose 4*x = d*x - 105. Is x a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 550, 851, 1162, 1489, 1838?\n\"Answer: r**3 - r**2 + 297*r + 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12*(-1 + 44\/12) and 16?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3*a. Suppose -4*f + 8 = p + p, -4 = -p + 3*f. Let q(t) = -t - 3. Let i be q(-5). Let x(l) = -2*l**i - 5*l + l + p*l. What is x(c(n))?\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116740 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/255*5)\/(2\/2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 4*q - 7 - 7, 4*q = 3*y + 6. Solve -y*j + 10 = 4 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466.013637 rounded to two dps?\nAnswer: 466.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 291412 to the nearest integer?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76 + (-165 - -161) + (2 - -1) + -6 + -3.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*(0 - 3 + 1)*(5*x**2 + 33*x**2 + 3*x**2 + (-5*x + x + 2*x)*(x + 0*x + 0*x) + 1 - 1 - 2*x**2).\nAnswer: 74*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13912 and 3902211660?\nAnswer: 6956","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**3 - 5*m**2 - 2*m + 5. Let f be x(4). Let l = -20 + f. Suppose -5*u + 2*g + g + 108 = 0, -u = -4*g - l. List the prime factors of u.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 669 is divided by 96?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -5*l + 1650, -19*l - 5*z = -24*l + 1640. Suppose 6*d - 363 = l. Calculate the highest common factor of d and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4927 (b) -0.4 (c) 2\/9 (d) -6 (e) 16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 1.54\nAnswer: -0.308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 319756410?\nAnswer: 2, 3, 5, 181, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170 = 3*y - 13*y. Let h(i) = 2*i + 35. Let m be h(y). Solve 2*k + m = 9 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 134 = -54. Suppose 2*s = s + 2. Suppose -t - m = -s*t. Is 20 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tck when three letters picked without replacement from {f: 2, k: 1, d: 4, t: 1, c: 3, q: 1}?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89678919*o**2 + 44839476*o**2 + 44839443*o**2 + o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01961967 rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1136326 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3*16.78174\nAnswer: -50.34522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -552 divided by -6?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -244 divided by -244\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -196258*k**3*l**3 + 2*k**3 + 150*k**2*l - 72*k*l**4 - 10*k + 27*l - 18 wrt l?\nAnswer: -1177548*k**3*l - 864*k*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + q + 46 = 22*z, 9*z - 23 = 3*z - 33*q + 32*q for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 8*g**2 + 2*g**2 - 6*g**2)*(-3 + 3 - 2)*(1 - g - 1).\nAnswer: 8*g**3 + 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36\/13*s**2 - 16\/13*s + 106\/13*s**3 + 0 + 126\/13*s**4 = 0. What is s?\nAnswer: -1, -2\/7, 0, 4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -23\/39?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 29408 to the power of 1\/2, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + a = -5*h - 57, 0 = -a + h - 3. What is the units digit of (50\/(-4) - -2)\/(a\/16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - j + 11. What is the remainder when 20 is divided by h(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3.1947 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -54501\/2 + 33300019\/1222. Calculate the common denominator of j and -113\/78.\nAnswer: 3666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2476\/11 - 47066\/209. Which is the nearest to -1\/6? (a) -3 (b) -76 (c) 2 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 = 4*h + 417. Let k be 8\/6*(-6 + h\/(-4)). Solve -3*t = -n - k, 2*n - t + 5*t - 22 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009125725682 to four decimal places.\nAnswer: 0.0091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-3)*12\/136*17\/17.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32511?\nAnswer: 3, 10837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t\/t**7*t)\/t)\/t**(1\/7))\/(t*t\/((t*t**(-2\/23))\/t)*t\/t**(-2\/7))*(t**(-6)\/t**(-1\/5))**(-29\/2) assuming t is positive.\nAnswer: t**(121691\/1610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 4*l + 120 = 0, -2*k + 3*l = -0*l - 97. Suppose -3*u + 4*h = -k, 6*u + h = u + 104. List the prime factors of u\/5 + 76 - -2.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 370118?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1\/7 (b) -0.045 (c) -3 (d) 0.3 (e) 3 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 30*f. Let o(m) = -7*m**2. Calculate o(l(u)).\nAnswer: -6300*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one tenth of a century?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) - (1 + sqrt(2299))**2)*1 - (-4*(1 + sqrt(19)) - ((sqrt(76))**2 + sqrt(19) + -5)).\nAnswer: -2225 - 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -25*w**2. Let h(k) = -4483944*k**2. Calculate h(a(u)).\nAnswer: -2802465000*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 5*v**4 - 3 + (-22 - 19*v**2 + 22)*(15*v**2 + 45*v**2 + 111*v**2) to the form g*v**3 + j*v + o*v**4 + t*v**2 + w and give o.\nAnswer: -3254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w**2 - 5*w - 4. Give s(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 5:44 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 d when two letters picked without replacement from {d: 2, o: 8, n: 4}?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - f + 12 = 0. Let u = 3 + 0. Suppose 2*o = 5*o - u. Sort o, 1\/9, f in ascending order.\nAnswer: f, 1\/9, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 4*n**2 - 2*n + 7. What is the remainder when z(-5) is divided by (-275)\/(-22) + 9\/(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/(-9) - (-1)\/(-3). Is (7 - v)\/(-3) + 47 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*n**2 - n**2 + 38 + 128*n - 49 + 4 + 9 to l*n**2 + j + h*n and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of p**6 - 6*p**2 + 5*p**6 + 8*p**2 - 4*p**6 wrt p?\nAnswer: 240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6547?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3123\/12492*6\/9*3\/(-11)?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 402, 390, 16, -1 in increasing order.\nAnswer: -4, -1, 16, 390, 402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/5)\/(-45)*2*-1\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 10 = 4*h, 4*k - 63 = 47 - 86 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1637, -1170, -761, -410?\n\"Answer: -29*x**2 + 554*x - 2162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 4)*(1 - 1 + 1)*(-9*s - 159 + 159)*(-4 + 3 - 1)*(-71 + 29 - 25).\nAnswer: -2412*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16008702\/11 or -1455337?\nAnswer: -1455337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/972 and 36\/7.\nAnswer: 6804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 393 + -420. Let f be (u\/(-18))\/(12\/8)*1. Is 65 at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z\/((z**(-2)\/z)\/z)))**(2\/49)*(z*z\/z**(1\/4)*z)**19)**(19\/4) assuming z is positive.\nAnswer: z**(193819\/784)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1206443637.\nAnswer: 3, 7, 19149899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21122 - 10624. Does 114 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -16912, -33864, -50816, -67768, -84720, -101672?\n\"Answer: -16952*f + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 4 + (-857 + 1498 - 193)*(1 - 4 + 4))*(-2*l**4 - 2*l**2 + 2*l**2).\nAnswer: -898*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 7*z + 4. Suppose 2*j - 42 = -12. What is the remainder when c(5) is divided by (-6)\/j - 84\/(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*h = -5*v + 20, -5*h = -25. What is the units digit of (-1)\/(2\/(-108)) - v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 2*l**4\/11 + 61318*l**3\/11 - 183972*l**2\/11 = 0.\nAnswer: -30662, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w + 1. Let g = -5 - -6. Let l be s(g). Suppose l = -2*v - v + 63. Is v a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -333*d + 334*d = 144. What is the remainder when d is divided by 67?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmzr. Give prob of sequence rm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**2\/2 + 3361*q\/2 - 5037 = 0 for q.\nAnswer: 3, 3358","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 71, 4, 2, -0.3 in ascending order.\nAnswer: -0.3, 2, 4, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -714547*d**4*l**2 - 57*d**4*l + 57*d**2*l**2 - 39*d**2*l + 2*d**2 + 139*d*l - 2 wrt d.\nAnswer: -17149128*d*l**2 - 1368*d*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -3827348\nAnswer: -2\/956837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 208 and 653861.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.5 and 0.1567865162.\nAnswer: 1.6567865162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 48*t - 59782 = 46*t, -2*x + 4*t + 23956 = 0. Is 65 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1121648*y - 3487749?\nAnswer: 1121648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + w + 155 = -112, -w + 3 = 0. Suppose 4*c - u = 50. What are the prime factors of c?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 4*b + 37, 5*t - 2 - 29 = -2*b. Suppose -5*v = -t*m - 65 + 10, 3*v - 37 = 5*m. Suppose 0 = 10*i - v*i - 53. What are the prime factors of i?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2037770 (base 10) in base 12?\nAnswer: 823322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127282055?\nAnswer: 5, 71, 358541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/3))**(-2\/3)*(t**(-6\/17)*t)\/(t*(t**5*t*t)\/t))**(-1\/14) assuming t is positive.\nAnswer: t**(503\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1647 + -1368.7. Let j = w + -278. Which is the fourth smallest value? (a) -0.1 (b) 0.1 (c) j (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1526 at least 44272\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6862 is divided by 68.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -7*g**3 + 12*g**2 - 2*g + 16. Let j(f) = 4*f**3 - 6*f**2 + f - 8. Let r(n) = 3*h(n) + 5*j(n). Is r(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 2:16 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**2 - 88*f + 90. What is g(-45)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -138*l**5*v - 2*l**4 - 554*l**3*v + 7*l**2 - 14*l*v - 7*v wrt l.\nAnswer: -8280*l**2*v - 48*l - 3324*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**3 + 2*r**2 + 6*r + 5. Let z(v) = v**3 + 2*v**2 + 7*v + 5. What is 3*b(y) - 4*z(y)?\nAnswer: 2*y**3 - 2*y**2 - 10*y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 77, -5 in descending order.\nAnswer: 77, 6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t**13))\/t*t\/(((t\/(t*t*t**(-4\/5)*t*t*t))\/t*t*t)\/t))\/(t\/(t\/t**2*t))**(2\/81) assuming t is positive.\nAnswer: t**(-3979\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29*b*m + 270327748*b + 470484*m**2 + 2*m with respect to m.\nAnswer: -29*b + 940968*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12180947 - -14470966243\/1188. Let c be ((-344)\/(-162))\/(44\/(-6)). Let x = n - c. Calculate the common denominator of x and 25\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -5*p + 1738, 3*t + 2*p = 4*t - 583. Let k = t + -579. Let q(j) = 5*j - 4. Calculate q(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**3 - 179*a**2 + 4*a**3 - 300*a + 57*a - 235*a**2 - 173*a = 0.\nAnswer: -1, 0, 208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 12) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 23517*w - 4891539. Give i(208).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*p = -9*p - 14*p. Let u(t) be the second derivative of 0*t**2 + p - 7*t - 1\/6*t**3 + 1\/6*t**4. Find the second derivative of u(w) wrt w.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v - 2*j + 145640 - 145603, -v + 3*j - 53 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4*l**3 - 3*l + 1 + 1 - l**2 + 4*l**2 + 3*l**3. Suppose -51 = -5*r - 36. Give a(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -10?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, p: 1, a: 1, g: 2}. Give prob of sequence gap.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 1 + 150 = 2*h, -h + 4*b + 62 = 0. Solve 25*o = -51 - h for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 40 = -4. Let x(r) = -2*r - 3. Let m be x(-3). Suppose m*v - d = -0. Solve v*h - 1 = h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 4*h + 4 = 0, -3*z = 3*h - 4*h + 1. Let n be 6 - -1 - (z + 3). Let f = 9 - n. What is the lowest common multiple of 14 and f?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200 = -l - 4*l. Let b = l + -37. Solve 2*a - 4*n - n = 14, -8 = -a + b*n for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 417 (c) -9\/2 (d) -1.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-30)*(-3)\/(-1). Let v = 0.52 + 1.35. Let j = 0.13 + v. What is the closest to 1 in -2, k, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -19563289?\nAnswer: -19563287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0701258 less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*r = -11, i = r + 4*r - 22. Suppose -4*p + 5*o + 62 = -83, i*p = 2*o + 107. Is p a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003531 rounded to four dps?\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 4*t**2 + t + 9. Let d be f(-4). Suppose 0 = -d*w, 2*q = 5*w - 3*w + 144. Calculate the smallest common multiple of 21 and (2\/6)\/(2*1\/q).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pk when two letters picked without replacement from {t: 1, p: 5, j: 1, k: 1, z: 1}.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 5 = 0, -v - 14 = 3*o - 3*v. Let n be (o\/(-10))\/((-10)\/(-25)). Solve -5*g + 5*s - s = -10, n*s = 2*g - 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 213*g**2. Let y(b) be the third derivative of b**5\/5 - b**2 - 216. Give y(u(i)).\nAnswer: 544428*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + d = -4*w + 238, 0 = 3*w - 3*d - 201. Suppose -29 = -r + w. Does 10 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -82*l. Let b(j) = j**2. Give b(s(z)).\nAnswer: 6724*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0476654 to 4 decimal places.\nAnswer: 0.0477","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 659144476?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -28\/619?\nAnswer: -28\/619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -681 + 684. Suppose -4*h - v*h = -20573. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -130 (base 4) in base 8?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4, -3, 0.1, -7\/9?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 0 + (-10 - (-12 + 4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 13*r**2 - 12*r - 1. Let l be p(-12). Let s = 3 + -3. Let t = 2 - s. Which is the nearest to l? (a) -0.5 (b) -2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(11 - 26)*(-1)\/(-3).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence plp when three letters picked without replacement from plblllslbbllllpl?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3111 and 272?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 395*c**2 - 3544*c - 178. Calculate u(9).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -3 (b) 2\/3 (c) -5 (d) -0.3 (e) -8771\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 82 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -7 (b) -18 (c) -1\/2 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1832.82 + -51326.2488.\nAnswer: -49493.4288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v + 1. Let t be (0 + -3 - -6) + -1. Let q be u(t). Find the common denominator of -83\/2 and 33\/36 - q\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 o, 1 a, and 1 g when four letters picked without replacement from wdwwyoyyagwwyowygwy.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*n**2 + 0*n**2 + 3*n**2 + (-2 - 1 - 2)*(-4*n**2 + 3*n**2 + 3*n**2) + 2 - 88*n**2 - 41*n**2 + 12865*n - 12860*n to t*n + c*n**2 + z and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*h + 3 - 438 = 31*h for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of t**4\/6 - 2*t**3\/3 + 5*t**2\/2 + t. Is x(3) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**2 + 1235*t + 4860.\nAnswer: 5*(t + 4)*(t + 243)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 0.0091\nAnswer: 0.00364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*464618.9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 397441 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2 - (-17)\/(-8))*34\/1 and 97\/670.\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 206, 58, -3 in increasing order.\nAnswer: -3, 58, 206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(245) + 1 + sqrt(245) + 1)**2.\nAnswer: -4920 - 280*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 - 159\/8. Let x = 0.073 - 4.073. Let u = 0 - -0.5. Put i, x, u in descending order.\nAnswer: u, i, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 325 = 2*q + j, -4*j - 176 = -2*q. Let z = q + -90. Let m be 6\/z + (-886)\/(-8). Calculate the highest common factor of 10 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 579 - 1591 = 4*w, 3*t - 4*w = 760. Suppose -3*l = -9*l + t. Find the second derivative of -l*s**5 - 2*s + 12*s**5 + 4*s - 10*s**5 wrt s.\nAnswer: -800*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (5 + 5 + -6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -5*p. Let f(m) = -3*m - 3*m + 0*m - m. What is b(f(r))?\nAnswer: 35*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2228115?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4604 is divided by 918?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1646*n**4 - 15*n - 1 wrt n.\nAnswer: 19752*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) + sqrt(91)*1*3)\/(sqrt(7) + -5*sqrt(7)*-1) - (2*sqrt(13)*6 - (2 + sqrt(1872)))**2) + 1.\nAnswer: -3 + 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence szqz when four letters picked without replacement from qsssszzsqsss.\nAnswer: 4\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -290c9 (base 13) to base 11.\nAnswer: -52995","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = 4*m + 4, 7*m + 5 = -c + 10*m for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = 78 + 251. Suppose 0 = -0*n - 7*n + 476. Let z = n - r. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45630 and 50700.\nAnswer: 456300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g + 11*g + 4*g)*(1 + 9*g**2 + 2*g**2 - 13*g**2).\nAnswer: -40*g**3 + 20*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-1)*(-1 - 42\/(-35)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 107 - 95. Calculate the smallest common multiple of u and 218.\nAnswer: 1308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 45*l**2 - 43*l - 1. Determine r(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7786 a factor of 3127108784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/4)\/((-70)\/56).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 7:02 PM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169164009 is divided by 84581998.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40 - -28. Let j = n + 17. Let h be 17\/4 + j\/(-20). Solve -2*q - 5*t = -h, 4 + 0 = -2*q - t for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 230*h**2 - 9660*h + 4. Calculate l(42).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, v: 12, w: 5}. What is prob of sequence vw?\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -3, 4, -32?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - m + 7. Is a(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a - 19*a = 0. Suppose -y + 347485 + 3652515 = a. Round y to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6157\/9 - 684. Let f = s + 11\/9. Suppose 0*h - 4\/3*h**4 + 0 + 4\/3*h**5 + 4\/3*h**2 - f*h**3 = 0. What is h?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) + -3 + 4 + 1*sqrt(2))**2.\nAnswer: 22*sqrt(2) + 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 8 = 4*o. Suppose -3*j = -o*j + 5. Solve 4*m - 2 + 15 = -5*h, -4*m + j*h + 37 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/8 in -51, 702, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (13\/(65\/42830))\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.39 - -0.42. Which is the nearest to -1? (a) 2\/5 (b) 0.1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1590 and 2274336.\nAnswer: 11371680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-68*s - 13*s + 17*s)*(-s + 0*s + 0*s) to the form l*s**2 + k*s + u and give l.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 65671448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, r: 1, v: 3, d: 5}. Give prob of sequence vdr.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1878 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 316695983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l + 8*l = -30. Suppose l*x + 2*y = 3060, -964 - 284 = -2*x + 4*y. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46 divided by -181\nAnswer: 46\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00405656 to five decimal places.\nAnswer: 0.00406","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*q**3*y**2 + 4357*q**3*y + q**2*y**2 - 3*q**2 - 2*q*y**2 + 18326*q + 2*y**2 wrt q?\nAnswer: -24*y**2 + 26142*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -14*r**2 + 1714*r - 2316. Suppose -5*v + 122 = 4*b, 5*b + 140 = 4*v + v. Calculate the smallest common multiple of v and c(121).\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 4:18 PM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 449196027 to the power of 1\/3, to the nearest integer?\nAnswer: 766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 22860525937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14\/6*-3*1. Let z be p\/(-2) + 8\/(-2). Let w = -11 + 6. Which is greater: z or w?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -257*p - 3. Calculate o(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, -10, 3, -0.1, -1\/2 in ascending order.\nAnswer: -10, -1\/2, -0.1, 0.04, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -101, -5, -1\/3, -3, -2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -72*g**5\/5 + 49*g - 56. What is the first derivative of t(f) wrt f?\nAnswer: -288*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -1\/5 (c) -1 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v + 73 = -8*d - 0*v + 3*v - 94, 0 = -3*d - 3*v + 156 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**2 + 17*u - 67. Let b be q(-12). Suppose 3*d - 3*o = 4*d - 22, 0 = 2*o - 4. Differentiate b + 6 + d*s - 6*s**3 - 16*s with respect to s.\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -3*g - g. Let q(n) = -n**3 - 4*n**2 - n. Suppose -z - 2 = 2. Calculate the lowest common multiple of g and q(z).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 726, 0, -4, -2, -3\/746, -2\/7 in descending order.\nAnswer: 726, 0, -3\/746, -2\/7, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 0.064\nAnswer: -0.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j + 1. Let i be z(-1). Suppose -29 = 88*d + 31 - 60. Solve -6 = q - a - d*a, i*a + 12 = -5*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 253, 560, 953, 1474, 2165, 3068, 4225, 5678?\nAnswer: 7469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a hour in seconds?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7454211 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 8*a - 21. Let m(z) = 2*z. Calculate d(j) - 6*m(j).\nAnswer: -4*j - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.05131894 - -0.05116. What is l rounded to 5 dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 3 = 11 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddqddqqqqqqqd. Give prob of sequence dq.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**2*a\/a**8)\/(((a\/(a\/((a**0\/a)\/a)*a))\/a)\/(a\/a**(-8))))**10 assuming a is positive.\nAnswer: a**80","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 656193803 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(11)*1*-2 + 4*(sqrt(176) - sqrt(11))).\nAnswer: -50*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6374 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of 0*i**6 + i + 0*i**5 + 0 - 1\/42*i**7 + 0*i**4 + 1\/2*i**3 + 0*i**2. Find the second derivative of m(s) wrt s.\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lfffl. Give prob of sequence lfff.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -529738*c**3 + 270*c**2 - 29*c - 10 wrt c.\nAnswer: -3178428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.22203 - -0.06203. Is c less than -14.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10845834817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and 45.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -76 + 202. Is y a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 4*a - 11 - 13 = -13, -188 = -a - 183 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1386097.\nAnswer: 1386097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 33042817 to the power of 1\/4, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(48) + (sqrt(432)\/sqrt(81))**2.\nAnswer: 16\/3 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12064005?\nAnswer: 3, 5, 89363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 6)*(-8*h**3 + 4*h**3 - 3*h**3) + (0*h**2 + 0*h**2 + 6*h**3)*(-3 + 4 - 2) + 53*h + 15*h**3 - 53*h.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 552059*j**3 - 3291993*j**2 wrt j?\nAnswer: 3312354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2259468933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32550 = -395*c - 535*c for c.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32.8 + 421.2. Let h = o - 456.83. What is h rounded to 1 decimal place?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 9*j + 32. What is f(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ywf when three letters picked without replacement from {b: 2, y: 1, w: 5, f: 3, d: 8}.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -52*a - 1. Determine t(1).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1079*h**2 + 267*h**3 - 294*h**3 + h - h + 29*h**3.\nAnswer: 2*h**3 - 1079*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m + m + 3*n - 3, 2*m - 2 = n for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - 17) + (58 - 44). Sort c, 3, 5, -1, -328 in descending order.\nAnswer: 5, 3, c, -1, -328","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 8*i - 13. Let v be 100 - ((-12)\/(-9))\/(i\/(-3)). Suppose -2*m + v = 5*g, 4*g + 20 = -g. List the prime factors of m.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 6, 5, -4, 0 in ascending order.\nAnswer: -5, -4, 0, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13440 by -448.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - 2*a + 7. Let u be 1 - 4\/1 - -9. Let y be l(u). Suppose -z + y = 9. List the prime factors of z.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 44 + 20 = -4*i, 125 = 5*r + 15*i for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9314099?\nAnswer: 9314099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 1\/7, 2, -2 in increasing order.\nAnswer: -2, 1\/7, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3373027.\nAnswer: 7, 481861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4944.62 rounded to the nearest 100?\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - l + l**3 + 4*l**2 - 2*l**2 + l to the form i*l + v*l**3 + t*l**2 + y and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4*(2*sqrt(68) + sqrt(68))*4)\/(sqrt(16)\/(sqrt(4) + (sqrt(484) + 1*sqrt(484) + sqrt(484) - sqrt(484)) + sqrt(484) - sqrt(4))).\nAnswer: -9504*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1914*g**3 - 3*g**2 + 287 wrt g.\nAnswer: -11484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -8.98. Let b = 0.02 + n. Let a = 39\/10 - 113\/30. What is the closest to b in a, -3, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -3, 1061 in decreasing order.\nAnswer: 1061, 5, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -866*b + 863*b + 3 = 0, -4237 = -2*y + 5*b. Calculate the greatest common divisor of y and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11726.\nAnswer: 2, 11, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 984.12.\nAnswer: -4920.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11043144103 (base 5) in base 7?\nAnswer: 204500063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1868 = 12*l - 1252. Let a = 13 + l. Calculate the greatest common factor of a and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3891, 1\/3, -0.5, 0.2, -0.1, -1?\nAnswer: -0.3891","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-5)*(p**(-2\/11)\/p)\/p)**(-15\/4)\/((p\/(((p**(2\/7)*p)\/p)\/p))**(-30))**13 assuming p is positive.\nAnswer: p**(214215\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -364 + 521. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 84\/101? (a) -2 (b) 0.3 (c) 0.7 (d) -1\/3 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*k - 64 = 18*k. Suppose 8 = -c + 3*c, -2*c = 4*n - k. Solve n = -4*z + z + s + 1, 2*s = 2*z - 6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 3:34 PM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00160763 to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2831180 a multiple of 935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(156)*1 + sqrt(156) - sqrt(156) - 3*2*sqrt(156))\/((-3*(sqrt(72)*1 - sqrt(72)) + sqrt(72))\/(sqrt(18)\/(sqrt(6)\/sqrt(2)))))**2.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 28*d**2 - 54*d - 49. Let w be z(-26). Let k(y) = -2*y**2 - 6*y - 4. Determine k(w).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 80098 - 159422 = -5*u, 191611 = 4*g + 3*u. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3*x = 2*x - 13, 10 = -2*x. Let r(f) = -f**2 + 5*f - 5. Let u be r(4). What is the remainder when u + -1 - (2 + -98) is divided by j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2192 and (-56)\/35 - (-176)\/10.\nAnswer: 2192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14 + 54*q**3 - 90*q - 122*q + 211*q - 7*q**2 wrt q?\nAnswer: 324*q - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -20452, -20454, -20456?\n\"Answer: -2*n - 20450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1420312012 (base 5) to base 6\nAnswer: 210530524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.316 less than 5?\nAnswer: -9.316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 7*u**2 + 2. Let z = 176 - 169. Let g(x) = -3 + 4 + 1 + 8*x**2. Determine z*w(m) - 6*g(m).\nAnswer: m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3190?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(297) + sqrt(297) + (sqrt(297) - 5*(sqrt(297)*2 - sqrt(297))))*3)\/(2*sqrt(11)*-2 - ((sqrt(77) - (sqrt(77) - 1*sqrt(77)))\/sqrt(7) + sqrt(11))).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1366308061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -6*g + 0 - 2*g**2 - 11\/6*g**3. Let t be l(-2). Calculate the highest common divisor of t and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l**(-1\/7)\/l)\/l*l*l)\/l)**(-44)*(l**(1\/3)\/l)**(-1\/63) assuming l is positive.\nAnswer: l**(170\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-790)\/869 + 3 + 1530\/(-858).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/6 - -1\/4. Let n be ((-9)\/12)\/(2 - -1). Let q = j - n. Which is greater: 1\/10 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000026148453 to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(11) - sqrt(44)\/sqrt(4)*4 - (sqrt(11)*-1 + -1)))**2 + 3 + sqrt(11) + 2 + sqrt(132)\/(sqrt(12)*4).\nAnswer: 53*sqrt(11)\/4 + 58","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 + -21. Let b(h) be the third derivative of 23*h**5\/60 + 23*h**4\/24 + 10*h**3\/3 - 43*h**2. Let m(i) = 8*i**2 + 8*i + 7. Give u*b(k) + 17*m(k).\nAnswer: -2*k**2 - 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4*2\/(-24)*6. Solve -6*f = p*f - 16 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*x**3 + 36*x**3 - 10*x**2 + 17*x**2 + 13*x**2 - 3*x + 31*x**2.\nAnswer: 8*x**3 + 51*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, -33, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -3*t + 35. Let f = 32 + t. What are the prime factors of f?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 17\/4, 0.1, 1\/5 in descending order.\nAnswer: 17\/4, 1\/5, 0.1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*s - 75*s + 25*s + 13*s**2 + 27*s.\nAnswer: 13*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.16 and 0.36.\nAnswer: 0.0576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*d = 449 + 253, -4*f + 5*d - 959 = 0. Are f and -240 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a**4 + 34500*a**3 + 518625*a**2 = 0.\nAnswer: -15, 0, 6915","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-26)\/10*(15 - 18). Let p = t + -38\/5. Which is the biggest value? (a) 1 (b) p (c) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j + 41. List the prime factors of k(18).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3615*a**4 + 56*a**3 - 137*a**2 + 2*a + 12 wrt a?\nAnswer: -86760*a + 336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -5549*x + 64. Let p(o) = 1287368*o - 14880. Let d(a) = 2*p(a) + 465*s(a). Let j(l) = l. Determine d(j(z)).\nAnswer: -5549*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2868948 a multiple of 617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 17. Suppose 4*h - 3*k - 23 = 0, 0*k = -3*h - 4*k + x. Let u be (1 - 9)\/(h + -7). Solve 0*z + 31 = -3*z - 4*w, -u*w - 16 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2\/5 + 57153*j\/5 - 45732.\nAnswer: 3*(j - 4)*(j + 19055)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - b = -20100002, -3*z + 0*b - 2*b + 12060004 = 0. What is z rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -d**5\/20 + d**4\/3 + 11*d**2 - 3. Let l be n(2). Solve -l*j = j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -15143 - 1704?\nAnswer: -16847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4675\/(-30)*153\/680. Let r = -5985 + 48177\/8. Let c = r + n. Find the common denominator of 99\/20 and c.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3*h. Let q = 1 - h. Put -2, q, -4 in descending order.\nAnswer: q, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2*w**3\/17 + 8404*w**2\/17 + 2*w\/17 - 8404\/17 = 0.\nAnswer: -1, 1, 4202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 11, 80, -6, 0, -132, -4 in descending order.\nAnswer: 80, 11, 0, -2, -4, -6, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -1e7868?\nAnswer: -1e7864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -3*j - 37. Let n be 2 + (-39)\/j - 3. Factor 6\/7*a - 2\/7 + 2\/7*a**3 - n*a**2.\nAnswer: 2*(a - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from saaaahsg. Give prob of sequence as.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 80892 by 126.\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -7*g**2 + 10*g - 11. Let q be h(-7). Let y = -278 - q. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.05 (b) -422\/25 (c) -7\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002049 to six decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(12) - (sqrt(12) - sqrt(48)\/sqrt(4))) + -5.\nAnswer: -5 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1998497*c**2 + 1676994 wrt c.\nAnswer: 3996994*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228*w + 1288*w = -34868 for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -x - 130. Let l = -433\/4 - x. Suppose 2 = 3*f + 8. What is the nearest to -0.1 in l, 0.5, f?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 253, 1084, 2469, 4408, 6901, 9948?\nAnswer: 13549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3012, -3959, -4902, -5841, -6776, -7707?\nAnswer: -8634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/5 and 71\/140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21951948 or 21951945?\nAnswer: 21951948","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1824916 rounded to two dps?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2309\/322 - 2\/483. Let r be (-3)\/4 + 1 + (-199659)\/20. Let y = 9973 + r. What is the common denominator of y and b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*r + 6*r + 23*r - 47*r + 6*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -50*u + 50*u - 2*u**2. Let g(h) = 9*h**2. Give v(g(d)).\nAnswer: -162*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.5 - -5.17. Let g = -0.33 - l. Which is the third smallest value? (a) -3 (b) g (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/36 and -121\/23030280.\nAnswer: 23030280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - w + 9 = 0, 5*z = z + 5*w - 9. Let j be (25\/3)\/((-3)\/(-18)). Suppose -4*f + 7*f = -2*s + j, 4*f - z*s = 60. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1121)\/(-118))\/((-8)\/6))\/(41\/((-5248)\/(-288))).\nAnswer: -19\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -8*z + 34. Solve 10*o + z*o + 28 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 365 - 620. Let h = -174 - m. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -1 - 1\/60*f**5 - 1\/6*f**3 + 0*f + 0*f**4 - 14*f**2. Determine z(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10\/(-140))\/((-1)\/(-508)). Let s = -36 - q. Let f = -0.8 + 0.5. Sort f, 0.5, s.\nAnswer: f, s, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21 - 243283.94.\nAnswer: -243304.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 329*k**2 - 488*k**2 + 2 - k + 406*k**2 to s*k + n + f*k**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.30748 - 3.31. What is s rounded to four dps?\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -68.05 - -63. Let b = 0.05 + y. Let f = b + 2.5. What is f rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 4*l**2. Let c(z) be the third derivative of z**5\/20 - 9*z**3 + 16*z**2. Let u(p) be the first derivative of c(p). Give w(u(j)).\nAnswer: 144*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -7*z. Let m(f) be the second derivative of -1\/6*f**4 + 0 + 2*f + 0*f**3 + 0*f**2. Give m(c(n)).\nAnswer: -98*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1393 and 2?\nAnswer: 2786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 times -2692.655?\nAnswer: -37697.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 20 = 75. Let a(u) = -2*u**2 + 20*u + 28. Let s be a(c). Solve s*q = -4*d + 3*q + 7, 2 = 2*d + 2*q for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -76907.3117 to the nearest 100.\nAnswer: -76900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11628492*v**5 - v**2 + 1899*v - 477 wrt v?\nAnswer: 697709520*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 992, 2875, 6010, 10397, 16036, 22927?\nAnswer: 31070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -653, 80, -16, -0.5, -3, -4\/5 in ascending order.\nAnswer: -653, -16, -3, -4\/5, -0.5, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -437679, -437682, -437697, -437724, -437763?\n\"Answer: -6*n**2 + 15*n - 437688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 8\/25 of a millisecond?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -2 + 1 + 2 - 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26065519?\nAnswer: 29, 89, 10099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2956\/6 + (84\/(-12))\/(-21). What is the highest common divisor of 116 and u?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*l**3 - 14*l**3 - 3*l**3 - 79*l**3.\nAnswer: -183*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3807 - -2.4193. What is the third biggest value in h, 4, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 28? (a) -0.5 (b) 2\/19 (c) -73\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -3 - (1 - (4 + 0)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 446169951 to the nearest integer?\nAnswer: 764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14)\/7*(-2 + 1). Suppose 4 + 28 = b*h. Suppose -3*j + 54 = -5*l, j = -5*l + h + 22. What are the prime factors of j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from epeeewpepeweeepeweew. Give prob of picking 4 p.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 905 is divided by 416?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13226 + -13220. Let z(s) be the third derivative of -26*s**2 + 1\/6*s**3 + 0*s + 0 + 1\/8*s**4 + 1\/120*s**x + 1\/20*s**5. Factor z(f).\nAnswer: (f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -508*g*h**2*k**2 - g*h*k - 4*g*h + 10*g*k**2 wrt h?\nAnswer: -1016*g*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -519087 >= -519087?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1579*v**3 + 2*v**2 - v - 14307 wrt v.\nAnswer: 4737*v**2 + 4*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 4 = 3*m, 9*j - 2010*m + 2011*m + 7 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - o)*(-26 + 296 - 147 + 143 + 311).\nAnswer: -577*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 343 = 3*g - 194. Let n = g - 76. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*u = 5. Let g(w) = 17*w**2 + 3*w - 3. Let a be g(u). Suppose -24 = a*m - 18*m. What is the remainder when m is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152945 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 3*j**5 + 84*j**4 + 552*j**3 + 1536*j**2 + 1968*j + 960 = 0?\nAnswer: -20, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*m**3 - 10*m**3 + 8*m**3 + (-267*m + 403*m + 166*m)*(m + m**2 - m) in the form p*m + o + l*m**3 + a*m**2 and give l.\nAnswer: 311","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 - -1200010?\nAnswer: 1133331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 10 = -1. Which is bigger: -2 or w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 5*c - 3. Let i be z(-6). Let k = -18 - i. Let f be (-45)\/1*(-24)\/9. What is the highest common factor of k and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -1498*a - 73401. Give l(-49).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 41*n + 38*n - 77*n. Let r(w) = -w. Let l(g) = -15*g. Let s(u) = -l(u) + 12*r(u). Give o(s(k)).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u**2 + 1 - 2 - u + u**2. Suppose -l - 4 = l. Let j be (l\/6)\/(2\/(-6)). Let v(x) = -4*x - 3. Calculate j*v(y) - 2*d(y).\nAnswer: 2*y**2 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30.7 + -31. What is the nearest to -1 in -5, b, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 5*x - 25, 0*o = x + 5*o - 5. Suppose -4*j + 9 = 2*f + f, -x = 5*f. Does 7 divide 45\/j*1 - 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2564937 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 19.1 and -562.1601.\nAnswer: -543.0601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13056 by 32.\nAnswer: -408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 150, 2633, 10416, 26481, 53810, 95385?\n\"Answer: 497*c**3 - 332*c**2 - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (7 + -14 + 4 - -7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.22 times -5?\nAnswer: -6.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -1\/7393?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 7) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-3)*261\/116.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**4 + 2*q - 1 - 2*q**2 - 3*q - 2*q + 2*q**3 - q to the form h*q**2 + d*q**3 + w + r*q + b*q**4 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -8*b**3 + 981*b + 4 + 4*b**2 - 1971*b + 985*b. Give x(2).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 7 = 2*v, -6*v + 5*v - 3*z = 5. Let q = 39 + v. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) -3\/2 (c) -563 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 5*q + 2. Let c(t) = t - 12. Let n be c(8). Let g = -11 - n. Let o(i) = 9*i + 4. What is g*h(r) + 4*o(r)?\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 15\/241?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*b + 4*b. Let o(y) = 3*y - 3. Let t(n) = 10*n - 10. What is b*t(k) - 7*o(k)?\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 7*f**2 - 4*f - 8. Let h be (-24)\/10*(-10)\/4. Let n be z(h). Let o = n - -17. Is o a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - 2)\/((-19)\/(228\/18)). Let o be c + (6\/(-4) - (-20)\/8). Solve 2*y - 4 = g + g, -5*y - o*g = -26 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w - 4. Let p(o) = -3*o + 5. Suppose 4*t = -0*t + 60. Suppose 3*b - 2*a - 10 = 6*b, -3*a = 5*b + t. Let u be b + 4 + (5 - 6). Give u*p(j) + 4*m(j).\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.60323507861 plus -0.291?\nAnswer: 0.31223507861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15.5 + 15. Let s(f) = f**3 - 4*f**2 + 2*f + 2. Let q be s(3). Let t be (-3 - -2)\/(4 + q). Which is the smallest value? (a) p (b) 2\/9 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 3*y**2 + 16*y + 7. What is v(-6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332406 is divided by 964?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 + 819*g + 17534.\nAnswer: (g + 22)*(g + 797)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}