diff --git "a/data/dm_maths/full_data_2/10471_11255.jsonl" "b/data/dm_maths/full_data_2/10471_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10471_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: (-2420)\/2057*21\/(-140)\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -1, 1116?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + (1 - 33\/(-15)). Let p = -137 - -956\/7. Which is the nearest to -0.1? (a) h (b) 0.5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 168000 and 560?\nAnswer: 168000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 101001011100 (base 2) to base 3\nAnswer: 10122020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11402985 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34 and 105277702?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 97665 and 21?\nAnswer: 683655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1619479, -3238878, -4858277?\n\"Answer: -1619399*v - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 15*t**2 + 36*t + 13. Let z be v(16). Let j = 425 - z. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + 4*l - 28. Let z be (8 + -7)\/(35\/(-17) - -2). Let s be 2*(z\/2 + 18 + -14). Let y be k(s). What is the greatest common divisor of y and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -870717\/8 or -108841?\nAnswer: -108841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -43, -249, -781, -1801, -3471?\n\"Answer: -27*y**3 - y**2 - 14*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 95898, 191793, 287688, 383583, 479478?\n\"Answer: 95895*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.5861013208 from 0.03348.\nAnswer: -1.5526213208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 338*o**3 - 17*o**2 + 14*o + 13. Is q(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 7) to base 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-2 + 8 + -4 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 143440448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2782.7 + -2783. Which is the nearest to -2\/9? (a) u (b) -6\/49 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppps when four letters picked without replacement from qsssppqssspppsssp?\nAnswer: 9\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 4*a**2 - 3*a - 3. Suppose -3*s - 36 = -0*k - 2*k, 2*k = -3*s - 48. Let u be 8\/(-6)*-6 - 4. Let r(l) = l**2 - l - 1. Calculate s*r(w) + u*z(w).\nAnswer: 2*w**2 + 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2540.\nAnswer: 2, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3661763 to the power of 1\/2, to the nearest integer?\nAnswer: 1914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -481 (base 10) in base 14?\nAnswer: -265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.1 or 1.3?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6103 rounded to two dps?\nAnswer: -0.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -1814*t**2 + 18144*t - 59. Determine l(10).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6801423143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5940469 a multiple of 398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 186?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 211465?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 + 45 = -31*k - 532 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 10:19 AM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 plus 191.29?\nAnswer: 230.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/83 and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 180 - 391. Let k = p + 300. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 + 14*q - 13. Does 5 divide g(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -79 + 5 + (9 - (-22 + 12) - 27)?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a kilogram in grams?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -517, -1013, -1507, -1999?\n\"Answer: d**2 - 499*d - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1702 and 342523245.\nAnswer: 851","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of 0 + 21*y**2 + 4\/3*y**3 - 1\/8*y**4 + 0*y. What is w(8)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01039636819 to 7 decimal places.\nAnswer: 0.0103964","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by 106\nAnswer: 8\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46991 + 66054. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -629 - -246. Let k = a + 382.99999803. What is k rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 16*r**2 + 69*r - 32. Let m be u(8). Solve 11*g - m*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 725 and 210395.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 37*m - 9. Is y(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3351461923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ec when two letters picked without replacement from cedzdxxxccx?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2624*u**5 - 2*u**4 + 20*u**2 - 2*u + 489717 wrt u.\nAnswer: 52480*u**3 - 24*u**2 + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 6. Let l(x) = -6*x - 4. Determine l(b).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 61, -17 in ascending order.\nAnswer: -17, 7, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 3*j = 13 + 37, i + 3*j = 17. Suppose 9 + 24 = i*l. What is the second derivative of 67*y - 34*y - 34*y + 6*y**l wrt y?\nAnswer: 36*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 + -28. Let r = 17 + v. Calculate the smallest common multiple of r and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -1, -0.46, 1 in increasing order.\nAnswer: -5, -1, -0.46, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16835583 is divided by 128?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41427 is divided by 1439?\nAnswer: 1135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -8*u - 3. Suppose 0 = -3*b + b - 2*v - 4, -5*b = 3*v. Suppose -1 = -2*q - 5*w, 0 = b*q + q - 2*w - 62. Suppose q*p = 14*p + 2. Determine z(p).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 666565.301 to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 9:28 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/(-5)*21\/42*((-1664)\/(-84) - 16)?\nAnswer: 32\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -197558*d - 3951161. What is y(-20)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 + 60\/(-5))\/(261\/(-18)).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 104 - 101. Let k = 8 - 2. Let c(u) = 2*u + 0*u - k*u**o + u + 7*u**3 + 2*u**2. Calculate c(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 355716263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59 - -61 - (5 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 6*w**3 + 11*w**2 + 30. Let a(v) = -2*v**3 - 4*v**2 - 10. Determine 11*a(u) + 4*p(u).\nAnswer: 2*u**3 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -1.9. Let f(z) = 19*z - 113. Let i be f(6). Let r = 0.5 - 0.1. What is the nearest to p in i, r, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or -27927\/4?\nAnswer: -27927\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -280*d + 109. List the prime factors of b(-26).\nAnswer: 3, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w + 0*w - 38688*w**3 + 0*w.\nAnswer: -38688*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -5*h**2 + 25*h + 30 = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 13135, 13145, 13161, 13183?\n\"Answer: 3*o**2 + o + 13131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 55976781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2. Let w(u) = 3*u**2 - 4*u. Let t(l) = 6*l**2 - 9*l. Let o(y) = 10*y - 1. Let c be o(1). Let s(x) = c*w(x) - 4*t(x). Calculate s(n(b)).\nAnswer: 3*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3 - 27378*z**2 + 54813*z + 410760.\nAnswer: -3*(z - 5)*(z + 3)*(z + 9128)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-17)*p)**27*(p\/(p\/(p**20*p)))\/p*p\/(p*p**(23\/5)*p) assuming p is positive.\nAnswer: p**(-2088\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -19*o + 4\/15*o**4 + 0 + 0*o**5 + 0*o**2 + 0*o**3 - 2\/75*o**6. Determine u so that q(u) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from suus.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(320) + 2*(sqrt(320) + 0)**2 + -5 - (sqrt(320) + 1 + -3 + (sqrt(320) - (1 + -1 + sqrt(320)))**2).\nAnswer: 637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4302 + -12123?\nAnswer: -21430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35006603?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**3 + 0*c**3 + 5*c**3)*(-2091 + 2091 - 581*c + (c + c + 0*c)*(2 + 0 - 1) + c + 0 + 0).\nAnswer: -1156*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6332, 6177, 5924, 5573?\n\"Answer: -49*m**2 - 8*m + 6389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*v - 1884 = -2236 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 369 + 2*b + 365 - 1100 + 366.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3626?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4\/(-6) - (-17)\/3 and (-25)\/(-20)*14\/10*4?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -67102 + 137817. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2354 + 4?\nAnswer: 2402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.015347797 rounded to 4 dps?\nAnswer: -0.0153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22066283 or 22066289?\nAnswer: 22066289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1101 (base 5) to base 4\nAnswer: 2113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -109991 and -549961\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55593 (base 11) to base 2.\nAnswer: 10011101010110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/422439 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 1 + 28)\/((-3)\/(-9)). Let q = 9 + -5. Suppose p = q*p - z. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*q - 650 = 0. Let a = 4345 - 4545. Let b = q - a. What is the greatest common divisor of 28 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -92 + 92. Let y = -9 - -14. What is the nearest to o in -9, y, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 5648.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -635, -675, -741, -833, -951?\n\"Answer: -13*c**2 - c - 621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide ((-3)\/(-9))\/((-7)\/(-630))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 398?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 5:56 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 + 33 - (2 + 0) - 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 15) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2bc9c (base 14) in base 2?\nAnswer: -11010101111000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -4. Suppose 0 = -2*i - 2 - h. Let u be (-6)\/(-3)*(-9)\/i. What is the highest common factor of u and 54?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.02 + 0.02. Let s = -92 + 92.1. What is the nearest to o in s, 1\/2, -2\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-473)\/286 + (-4)\/((-24)\/9)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 168803199 to the nearest integer?\nAnswer: 553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 5*h = -13, 16*m - 12*m - h + 7 = 0. Sort m, 3, -51.\nAnswer: -51, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1628\/1036 - (-4)\/(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32542\/9 - -3609. What is the common denominator of 5\/72 and z?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 9) to base 3\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 3*g + 20 - 0, -20 = 5*w - 5*g. Which is the biggest value? (a) -4 (b) w (c) -7 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*l, 4*l + 2*h = 5*h + 10. Let k be 0 - l*(-2)\/(-4). Which is the closest to 1\/4? (a) k (b) 4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 176*m*s**3 - m*s**2 + 10*m*s - m + 9*s**3 - 31*s**2 wrt s.\nAnswer: 1056*m + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((6\/(-9))\/((-18)\/(-27)))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9.9 - -9.5. What is the closest to -3 in w, -2, -1\/17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 36167103?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2136 and 389820.\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + 59 - 9 - 11.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22497?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 111 or 985.4?\nAnswer: 985.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18263\/369499 - -16091173461\/20854523560. Let p = g - -4\/1411. What is the common denominator of p and -25\/4?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 t when two letters picked without replacement from {c: 4, t: 2, i: 1, e: 4, j: 2, l: 1}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + 1. Let u(k) = -k**3 - 14*k**2 - 8*k - 14. Let v(q) = -6*s(q) - u(q). Let m be v(-7). Let i be m*2\/(-4)*-4. Is 3 at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -7\/22?\nAnswer: -7\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -184 + 191. Solve 15 = y*c - 10*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2*v - 150 = 0, 4*l - 125*v + 124*v - 645 = 0. Calculate the highest common factor of l and 360.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2423 and 16?\nAnswer: 15.7577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -266*i = -279*i - 9698. Which is greater: i or -743?\nAnswer: -743","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23485?\nAnswer: 5, 7, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 586 - 356. Let p = -4330 + 4376. What is the highest common divisor of p and y?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9144*k**2 - 36575*k + 4.\nAnswer: -(k + 4)*(9144*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(-12)*o))**(-4\/7)*(o\/(o*o**(-16)\/o))**(14\/3) assuming o is positive.\nAnswer: o**(1522\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.433 + 3.4. Let o = -43.967 + b. Let a = o - -42. What is the closest to 3\/5 in a, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -10001?\nAnswer: 10000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -5*q + 41, -481*i - 194 = -485*i - 5*q. Let y(n) = -7*n + 7. Calculate the remainder when y(-16) is divided by i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7858940 to the power of 1\/3, to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/60 and -1\/90.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -99 (b) 1\/4 (c) 30 (d) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 11:36 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4014 and 818.5.\nAnswer: 818.9014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-153)\/136)\/(9\/(-6))*56\/3.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4422 = 1357. Suppose 9*t = 4*t + k. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -11?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.901826025 + -0.091822475. Let r = p + -3.81. What is r rounded to 7 dps?\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (5 + 1)) + 5 - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**4 + 3*c**4 - 7*c**4 + (-39*c + 75*c - 39*c)*(-c - 3*c**2 + c)*(4*c - 10*c - 5*c).\nAnswer: -106*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3383.\nAnswer: 17, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 159403 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -25018, -50059, -75100, -100141?\n\"Answer: -25041*u + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, -36, -5, -14 in descending order.\nAnswer: 0, -3, -5, -14, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -98 + 100.92. Let z = -234.92 - -235. Let m = z + s. Is 2 less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4815, -3, 5, -2, -461 in decreasing order.\nAnswer: 5, -2, -3, -461, -4815","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f + 2 + 6 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-13) + 135\/117. Let h(d) = 31644184*d**3 + d**2 - 1. Let a be h(j). Let g = 46044184 - a. Round g to the nearest one million.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 13*s**2 + 5*s - 89. Let g be m(-14). What is the second derivative of -20*j - 250 - 34*j**2 - 224*j**2 + 248 - g*j**2 wrt j?\nAnswer: -590","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 73 - 76. Let q be (-12)\/18*(1 - -5). What is the second smallest value in q, 0, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -4*a**5\/5 + 4*a**4 + 8*a**3\/3 - 24*a**2 - 36*a + 53. Find f such that s(f) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, m: 1, b: 1, w: 3, s: 5}. What is prob of picking 3 s?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 2*l + 5*l - 11)*(3 + 0 - 2).\nAnswer: 4*l - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -346*f + 2478. Let k be o(7). Calculate the highest common factor of 1112 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - 4*j**2 - 5*j - 2. Let i be (-11)\/(-132)*66 + (-1)\/2. Determine v(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158018733.\nAnswer: 3, 307, 57191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -406*v - 25551*v**2 + 406*v + 1091*v**2 + (-3*v - 2*v + 3*v)*(-3*v + 3*v - v) as k*v**2 + y*v + s and give k.\nAnswer: -24458","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*b + 5 = 2*f, -3*b - 2*f = 7. Let q be 6*(-1 + b)\/(-8). Solve -q*o + 1 = j, 4*j = 3*o + 2*j + 11 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3048578 by -234506.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 456.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 2 + -1*((sqrt(720) - (sqrt(720) + sqrt(720)*-1)) + 0)*4)**2*-2.\nAnswer: -23042 + 192*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*y - 2*m - 0*m, 3*y - 2*m - 18 = 0. Let k be (-4*(-39)\/(-104))\/((-11)\/y). Which is the smallest value? (a) 2\/7 (b) 3\/4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 315499722 and 1314?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g - 6*g + 3*g)*(3 - 4 + 3)*(-3 + 1 + 0)*(-14 + 2 - 7) to the form p + d*g and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 5.\nAnswer: -4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 16 = 4*r + 6, -5*t + 4*r = 37. Let q(z) = z**3 + 9*z**2 - 11*z + 7. Is q(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 102 + -114.6. Let u = 28 - 16. Let i = y + u. What is i rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24358 = 35*g - 34*g + z, 0 = 2*z + 4. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 120 - 10 + (1 + 5 - 3)*(-1 - 4 + 4))*(0*w**4 + 3*w**4 - 4*w**4).\nAnswer: -94*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - 8*f - 7. Let q(z) = -2*z + 2. Let s be q(4). Determine o(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-40)\/(-32)*(-6 - 2). Let u be (-2)\/s + 976\/20. Let b = u + -35. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 2\/3, -5, -453?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 352\/184 + 18\/207. Solve 2*v - 93 + 97 = 0, 0 = g + p*v for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0724891 rounded to three dps?\nAnswer: 0.072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(50)\/(sqrt(40)\/sqrt(4)*-2))**2.\nAnswer: -sqrt(5) + 9\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ntra when four letters picked without replacement from nurubta.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4030665065 a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a + 16406*f - 16411*f - 64, 58 = -8*a - 3*f for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -56232772*t**3 + 42563643.\nAnswer: -168698316*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -93783 + 175483. What is u rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/(-136) - (-638)\/5423\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*s*w**2*y - 77*s*w**2 + 3*s*w - s + 11*y with respect to y.\nAnswer: -10*s*w**2 + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 458 = 98. Let a be 5\/(-25) - w\/10. Suppose -a*o - 4*o = -4169. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 10*o**2 - 373*o - 73. Let t(g) = -2*g**2 + 62*g + 12. Let r(s) = 2*h(s) + 13*t(s). What is r(10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, -20, 2198 in descending order.\nAnswer: 2198, -20, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1426579519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 8*t - 9. Let f(g) = -g**2 + 6*g - 11. Let a be f(5). Determine c(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34414.52 decades in centuries?\nAnswer: 3441.452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1163?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 18, 0, 27, 6, -33 in descending order.\nAnswer: 27, 18, 6, 4, 2, 0, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 108857, 2\/5, 5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5765, -22899, -51411, -91307, -142593, -205275, -279359?\nAnswer: -364851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**3 - 5319206*c**2 + 3536619054150*c + 166232845878750 = 0. Calculate c.\nAnswer: -47, 1329825","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 222*t**2 - 79*t**2 - 85*t**2 - 5*t - 94*t**2 to the form y*t + c*t**2 + l and give c.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2262 (base 7) in base 14?\nAnswer: -432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1805349?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-6))\/(m*m**(-5)))\/((m**(-2)*m*m)\/((m\/(m**(4\/3)*m))\/m)) assuming m is positive.\nAnswer: m**(26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/3 + 901*n**2\/3 - 54333*n + 54033.\nAnswer: -(n - 651)*(n - 249)*(n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -158 - -157.8. What is the smallest value in 6, -0.5, 0, b?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-12 - (6 + -11)))\/((-6)\/(-4))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 12:25 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (4 - 8 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vyvbyvsysev. Give prob of sequence veb.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -9. Let x be 13\/k - (-1)\/(-4). Let j(r) = -r**2 + x + 2*r**2 - 10 + 0 + 4*r. Calculate j(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2195 - -0.3298. What is i rounded to 2 decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 6 - 2 - 6*g - 10*g**2 + 9*g**2. Give r(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.155 + 343.71476?\nAnswer: 343.55976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 7 = 1. Suppose -705057 - 614953 = f + 2*b, g*b = 5*f + 6599990. What is f rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3 + 1408545*j**2 + 1408542*j.\nAnswer: 3*j*(j + 1)*(j + 469514)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 15*k. Let g(x) be the second derivative of 7*x**3\/3 + 12*x + 2. What is y(g(f))?\nAnswer: 210*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of -k**3\/3 + 7*k**2\/2 + 3. Let o be m(7). Is o less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.2 + -2. Let l = -1415 - -1415.8. Which is the third smallest value? (a) k (b) l (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 + t + 2. Let l be c(-2). Suppose i - 2 = 1. Solve -3*k + 3*d = 3, l*d + i + 1 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5 - ((-2 - -14) + (13 - (-9 - -26)))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/(-27))\/(364\/(-624))*(-1)\/2.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1629 = -3*k + 3*j, 1931 = 4*k - 5*j - 239. Does 14 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 248920\/600 + 4\/30 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 8*f - 9. Determine o(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 22*y**3 + 544*y**2 + 16*y + 32. Let f(j) = 7*j**3 + 181*j**2 + 5*j + 10. Let k(d) = -16*f(d) + 5*r(d). Factor k(o).\nAnswer: -2*o**2*(o + 88)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 13*c + 5. Let f be k(8). Let m = f + -64. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149*l + 4040761 = -92*l + 116*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12, 36, -7174, -3?\nAnswer: -7174","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3598968 + 2187076 = 22*r. Let m = -31302 + r. Round m to the nearest ten thousand.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 4*j + 24, -j + 4 = 3*q + q. Solve 0 = 3*n - 6, 2*n + 1 = -q*b + 5 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17198872199 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of 0*d**2 - 2\/85*d**5 + 20\/51*d**3 + 88 + 0*d + 3\/34*d**4. Suppose m(f) = 0. Calculate f.\nAnswer: -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -96.1.\nAnswer: 48.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + k + 12. Suppose -s + 0*s - 4*c - k = 0, s = -c - 18. Is -20 at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -31919140 and -0.3?\nAnswer: 9575742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -28569*u**2 - 3355*u - 470652826 wrt u.\nAnswer: -57138*u - 3355","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 43*k*m + 23*k + 14*m - 2 wrt m.\nAnswer: 43*k + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 4*w - 3. Let m be y(2). Suppose a = 2*d + 3*a - 8, -d = m*a - 4. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -30. Let l = w - -31. Let h = 13.6 - l. Which is the smallest value? (a) h (b) 0 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*c**2 + 17 - 16 - 8*c**2.\nAnswer: -17*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3786413?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 11\/10 of a tonne?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2*v**4\/5 + 12*v**3 + 378*v**2\/5 + 584*v\/5 + 264\/5 = 0.\nAnswer: -22, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3702269 is divided by 2950?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 12:34 PM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = -11*w + 1224. Suppose 0*y + w = 3*y. Suppose 2*v = -0*v + y. Is v a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + l + 37 = 0, -2*u - 3*u = -3*l - 91. What is the highest common factor of 220 and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*y = -10*y - 378. What is the lowest common multiple of y and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*k = -68*k - 279. Calculate the remainder when k is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -5*y**2. Let m(b) = -139*b + 5. Let x(d) = 139*d - 4. Let s(w) = 4*m(w) + 5*x(w). Calculate r(s(a)).\nAnswer: -96605*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 301, 300, 299?\nAnswer: 298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 + 3)\/(1*2). Let v = -3 + h. Let i = v + 4. Which is greater: -2\/7 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express g**4 + 2*g**4 + 2*g**4 - 2*g**3 + 2 + 2*g**2 - 4*g**4 as q*g**2 + x*g**3 + w*g + j*g**4 + m and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201011 - -21?\nAnswer: -200220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**3 - 5*r**3 + 2*r**3)*(0*r**2 + 0*r**2 + 2*r**2) + 0*r**2 - 12*r**5 - 16*r**5 + 2*r**2.\nAnswer: -30*r**5 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.272227 rounded to 3 dps?\nAnswer: 2.272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 6:45 PM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 5*a + 3, a + 9 = -4*s + 6*a. Let i be ((-6)\/4 - 1)*s. Solve -2*g + q - i = 6*q, 3*g + 2*q = 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 215445 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 8*r + 5. Let c(t) = -t - 3 + 10 + 5. Let w be c(20). Let o be m(w). Which is greater: 4 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 s when two letters picked without replacement from ossoooos.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2 - 51472*y - 331170848.\nAnswer: -2*(y + 12868)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 436*w - 1691976 = -291*w + 234*w. What is the greatest common factor of 1001 and w?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -521*c + 258*c = -308*c - 990 for c.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*x + 48 = 7*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/3 - 8163394*l\/3 + 8163395\/3.\nAnswer: -(l - 1)*(l + 8163395)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - o - o**2)*(-18*o - 6 + 6)*((2 - 2*o - 2)*(1 - 1 - 3) - 5*o - 2*o + 5*o).\nAnswer: 72*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -160 + 162. Calculate the greatest common divisor of z and 38.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -4*a**3 - 84*a**2. Calculate t(-21).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 54682?\nAnswer: -16404.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -21. Solve -i = -2*r + i - p, -3*r = -5*i + 25 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 333423\nAnswer: 33342.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*4*-2*sqrt(110)*-2)\/((sqrt(810) - (sqrt(810) - -4*sqrt(810)*-1)) + sqrt(810) - sqrt(810)*-2*2).\nAnswer: -64*sqrt(11)\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 59951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 5) to base 12\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -2 + 2\/3*p**3 - 6*p - 4*p**2. Calculate c(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-9)\/(-72)*(2 + 0) and -3\/5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-6)*3\/(-4))\/((175\/98)\/(-25)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105880?\nAnswer: 2, 5, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-22)\/88 + (-18)\/(-8). Let y(x) = -171*x**2 + 60*x**2 - 1 + 8*x + 51*x**2 + 57*x**r. Let i(j) = -j. Determine 6*i(h) + y(h).\nAnswer: -3*h**2 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -3*o**6\/10 - 1721*o**4\/12 - 1511*o. Find the third derivative of z(c) wrt c.\nAnswer: -216*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 21424?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i - 24 + 12. Let a be 16\/6446*8749\/(-13). Let j = -10\/293 - a. Which is smaller: i or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 50258828 to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/15 of a decade?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 10*a - 11. Let u be v(-12). Solve -o - m = 1, 0*o - 5*m + u = -o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(2700)*2 - sqrt(2700))*-5 - sqrt(2700)) + sqrt(2700))\/(4*sqrt(225)*-6).\nAnswer: 5*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 56695222 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -5. Suppose -d = -0*j + 4*j + b, 5*d = -3*j - 8. Let q be (-114)\/(-2) - d - -2. What is the greatest common divisor of q and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-7))\/(((-1284)\/(-112))\/107)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = r - 1, -5*v + 11 = 3*r - v for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 7*t + 3. Calculate b(-6).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 836 (b) 0.16 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 - 5*v**2 + 3*v**2)*(4*v - v**3 - 4*v) + (-2*v**3 - 3*v**3 + 3*v**3)*(2*v**2 + 3 - 3)*(4 - 2 - 4).\nAnswer: 9*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + k + 2. Let s be i(-2). Let c(t) = 10*t - 5. What is the remainder when c(s) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -433.237 + 433. Let b = q + 0.236786. What is b rounded to five dps?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 0.4 (c) -73 (d) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22)\/(3*sqrt(11)) + -3 + sqrt(2) + sqrt(128) + sqrt(2))**2 - (sqrt(24) - sqrt(192)\/sqrt(72))\/(sqrt(108)*-1))*4.\nAnswer: -2224*sqrt(2)\/9 + 8012\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 5. Let q(k) = 3*k**2 + 156*k - 12243. Let j be q(-95). Let m be (-8)\/(-6)*(-6)\/(-4). Solve 4*d = -3*u + j, -t*u = -d - m*d - 16 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.75298 rounded to 2 dps?\nAnswer: 33.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 14\/6)*18\/(-30). Factor 1\/3*w**o + 0 - 46\/3*w.\nAnswer: w*(w - 46)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9008?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/3 (b) 1 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2 + 2*x + (4*x - 5*x - 4*x)*(-115 + 98 + 70) as i + s*x and give s.\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 66 = 3*t. Let k be ((-6)\/(-9) + -3)*-18. Let f = k + t. Is 10 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.094 - -3.88?\nAnswer: 3.974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4*3*2\/(-12). Suppose d*z + 1 - 9 = 4*a, -3*z = 4*a - 12. Solve 2*t - z*t + 4 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**2 - r + r)*(-3 + 3 - 5*r) - 2*r**3 + 4*r**3 + 2*r**3 + (3 - 3 - 2*r)*(2*r**2 - 4*r**2 - 6*r**2) + 2*r**3 - 2*r**3 - 2*r**3.\nAnswer: 33*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32518 is divided by 406.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 247*d + 731. Let o be u(-3). Which is the nearest to -7? (a) -1\/5 (b) o (c) -44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4459 is divided by 726?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -0*f + 2*f. Suppose -4*p + 16 = f*v, -v - 3 + 11 = 2*p. Is -3\/5 less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, d: 8}. Give prob of picking 3 d and 1 h.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/1 - 3*1. Let c be 2\/(-4)*(-7 - -1). Let q(r) = 4*r**c - 4*r**2 - 2*r**3 + 5*r**2 - 3*r - 1. Give q(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q - 2*q**2 - 4*q)*(-5*q**2 - 4 + 6 - q**2).\nAnswer: 12*q**4 - 4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -60*s**3 + 5*s**2 - s - 6. Let m(z) = z**2 - 1. Let w(v) = d(v) - 4*m(v). Does 10 divide w(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 6293*p**2 + 63*p + 63. Let d(c) = -203*c**2 - 2*c - 2. Give -63*d(g) - 2*k(g).\nAnswer: 203*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + 2. Let p be f(0). Solve 5*b - p - 3 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**23\/h)\/(h\/(h**28*h)))\/((h**(18\/13)*h)\/(h\/(h*h**(-29)))) assuming h is positive.\nAnswer: h**(1009\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 4*d = -29 + 125, 5*j + 4*d = 120. Suppose -4*y - 2*l = 6, 0 = 2*y - y + 5*l + j. Is y bigger than -4\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 48\/5 of a millennium?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1921 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -714 - -753. Put z, -2, 4, 5 in decreasing order.\nAnswer: z, 5, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**5 - 2*g**5 + 2*g**5 + (0*g**2 - 2*g**2 + g**2)*(3*g**3 - 5*g**3 + 0*g**3) + 68*g**5 - 626*g**5 - 575*g**5.\nAnswer: -1130*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 2:59 PM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-383*s - 666*s - 993*s)*(-3*s + s + 0*s)*(-1 + 2*s + 1).\nAnswer: 8168*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5880 is divided by 95?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 421039 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 6*g**2 + 4*g - 6. What is the smallest common multiple of z(6) and 34?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111020121011020 (base 3) in base 11?\nAnswer: -3a78236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5027, -10461, -15895, -21329?\nAnswer: -26763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 20*w**2 - 7*w**2 + w**2 - 8*w**2 - 10*w**2. Let i(s) = 10*s**2. What is b(i(x))?\nAnswer: -400*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101300020 (base 4) to base 6.\nAnswer: -1320344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1666)*1)\/(sqrt(32)*-1)*1.\nAnswer: -7*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -86 + 90. Let g be (-2122)\/k - (-9)\/(-18). Let v = g + 1046. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - ((2 - 0) + 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*(-28)\/(-12))\/(4\/(-4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 > 2\/239?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**18)\/w**(-6) assuming w is positive.\nAnswer: w**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00019304 to 5 dps.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**3 - 2*v**2 + v - 5. Let t(k) = -6*k**3 - 7*k**2 + 3*k - 18. Give -7*q(o) + 2*t(o).\nAnswer: 2*o**3 - o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 320\/50 + -6 + 36\/(-65).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (-15 + 32 - 4 - (2 - 7 - -30)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4*w = 10, 3*w - 10 = -5*a + a. Let j(v) = v - 7. Let f be j(6). Let c = 14 + f. What is the least common multiple of c and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 196659?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -27 + 5?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.07 - -1.07. Let s = 14 + -29\/2. Is s < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 12:21 AM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2 - 5 - 163*z + 491*z to the form q*z + w and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*b - 7*b - 11*b - 2*b.\nAnswer: -30*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/(198\/(-135)) - (0 - 38) - (8 - 0).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(-1) + 12*16\/(-48). Solve -2*u - 11*r = -14*r - 10, 3*r + 8 = o*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -58 (base 10) to base 6.\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) -1 (b) -0.0256 (c) -0.44 (d) -13 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6*-2)\/(-4)*1. Suppose -5*p + 2 = -l*p. Solve 2*y + p = -7 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n + 2. Let s = 1 + -4. What is z(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7205, -57809, -195177, -462695, -903749, -1561725, -2480009, -3701987?\n\"Answer: -7231*z**3 + 4*z**2 + z + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 4*u = -13273, -2*w = 308*u - 306*u - 8852. Is 90 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -8 + 4 + 10 - 2*p. Let r be z(3). Solve r = -b - 3 - 1 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 292 a factor of 179911195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 13*c + 26. Let g(u) = -39 + 118 - 48 - 32. Determine 26*g(b) + z(b).\nAnswer: 13*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 269609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 930 and 44795.\nAnswer: 268770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 735 is divided by 31?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 8:33 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 40, 0, -2 in decreasing order.\nAnswer: 40, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 16*i - 176. Let a(s) = 444*s. Calculate y(a(v)).\nAnswer: 7104*v - 176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*b + 4, -5*x + 26 = -3*b. Determine d so that 39*d**2 + 69*d**3 + 6*d - 10*d**5 + 0*d**5 + 9*d**x - 17*d**5 = 0.\nAnswer: -1, -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 847059 to the nearest integer?\nAnswer: 920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 13736124.9 to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2753\/7 - 386. What is the common denominator of w and -20?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 3*m - 5*c, 12*m - 7*m + 4*c = 15. Calculate the remainder when 221 is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 280 divided by -8.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88557.\nAnswer: 3, 7, 4217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 0*w - 9046*y = -9047*y - 30, 5*y = -20 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**18))\/a**(6\/7)*a**(6\/7)*a*a**1 assuming a is positive.\nAnswer: a**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -407487 and -407501 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**3\/p)\/(p\/((p*p*p*p**2*p)\/p))*(p**(-1\/4))**0*(p**(-1\/5)\/(p*p\/(p*p\/(p**4\/p)*p)))\/(p\/p**(-1))**(-2\/25) assuming p is positive.\nAnswer: p**(124\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = -v - 2*v. Let u = -26 + v. Calculate the remainder when u is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of 0*o**5 + 0*o**4 + 93\/2*o**2 - 175\/6*o**6 - 276 - 2\/3*o**3 + 0*o. Find the third derivative of h(a) wrt a.\nAnswer: -10500*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 7*j + 31, -2*n - 25*j + 29 = -28*j. Let q(k) = 30*k - 297. What is q(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1192233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 816\/(-168) - (-36)\/42. Suppose 4*g = 2*g + 6. Let u(h) = 3 - g + 1 - h. Calculate u(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7489094 and 3730.\nAnswer: 746","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 + 2.2. Let g = -1.3 - -0.3. Let d = f - g. Which is the biggest value? (a) d (b) 1 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 9:16 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6 + 3)*(6*i + 3 - 5*i + i).\nAnswer: -4*i - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 + r + 1. Let h(t) = t**2 - 2*t - 2. Let u(d) = -h(d) - 2*s(d). Let w = 800 - -857. Let y(c) = -3284*c + 1664*c + w*c. Give y(u(m)).\nAnswer: 37*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.4 - 1.6. Let w = r + 2.2. Let q be (-72)\/63*2\/(-8). Which is the nearest to w? (a) q (b) 1\/6 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 1\/3, 4, 0, 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((2 - 4)*3)\/(-2). Let p(a) = 3*a**3 + a**2 - 6*a - 3. Let n(l) = -19*l**3 - 7*l**2 + 37*l + 20. Let q(c) = 2*n(c) + 13*p(c). What is q(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c41a (base 14) in base 11?\nAnswer: -4a233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wkkkklkwlmhlwkklkkkl. What is prob of picking 3 w and 1 h?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(2\/3))**19*r*(r*(r\/(r\/r**(2\/7)))\/r)\/r*r\/((r\/(r\/(r\/(r\/r**(2\/7)))))\/r)*((r\/(r\/r**3))\/r**5)\/(r**(-7)\/(r**(-3\/7)\/r)) assuming r is positive.\nAnswer: r**(782\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 11*g**2 + 15*g - 34. Let m be d(12). Let b be 1239 - (7 - m) - 4. Suppose -3*y + 8*y = b. List the prime factors of y.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9643, -77235, -260731, -618085, -1207251, -2086183, -3312835, -4945161?\n\"Answer: -9659*t**3 + 2*t**2 + 15*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9386764 by 4.\nAnswer: -2346691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45302 by 250.\nAnswer: 22651\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -105.29495 rounded to 1 decimal place?\nAnswer: -105.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -474737 or -474738?\nAnswer: -474738","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.742201 litres to millilitres.\nAnswer: 9742.201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1117340 + 52?\nAnswer: 1117412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5882 + -4073. List the prime factors of n.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 1:00 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 4*n**2 - 2*n - 1. Let c be w(-1). Suppose c*b = 11 + 9. Suppose -20 + 60 = 5*o + b*l, 4*l - 16 = o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7771867 weeks in minutes?\nAnswer: 7834.041936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 x when two letters picked without replacement from ttxhxxzhzhthz.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/6, -4, 4\/9, 4, 2\/13, -2\/9, -0.11?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -17417466 and 0.003972?\nAnswer: 17417466.003972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 22026 to the nearest one thousand.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6, 2221, 3, -0.1?\nAnswer: 2221","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60453 and 3537?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22422724 is divided by 43?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1433 - -1454.58. Let j = i + -21. Let h = j - 0.08. What is the smallest value in -5, -4, h?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4068 and 6012?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - b8?\nAnswer: -bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 24 + (11 + -8 - 10) - 11 - (-10 + 16)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -12*k + 41. Let o be n(-7). Suppose -7*u + 2*u = o. Let b = u + -38. What is b rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4656 by 5.\nAnswer: -4656\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44221827.\nAnswer: 3, 13, 1133893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/10 - (-284)\/(-5). Let b = 13 - 109. Let j = c - b. Calculate the remainder when j is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 899 or 892?\nAnswer: 899","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -n + 5*n**2 + 370 + 368 - 742 as g*n + a*n**2 + t and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 599349?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w. Let i be c(0). Solve i - 4 = -r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 399 - 398.98. Which is the smallest value? (a) 1\/2 (b) 5\/2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 384210 to the power of 1\/2, to the nearest integer?\nAnswer: 620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 728, 1457, 2188, 2921, 3656, 4393, 5132?\n\"Answer: q**2 + 726*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -73*k + 6. Let i(c) = -11*c + 1. Let y(u) = 12*i(u) - 2*v(u). Let b(s) = 236*s**2. What is b(y(m))?\nAnswer: 46256*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of 5*i**2 + 149. Let s(o) = -8*o. Determine m(s(r)).\nAnswer: -80*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -22*j**3\/3 - 531260*j**2\/3 + 966008*j\/3 + 64400 = 0. What is j?\nAnswer: -24150, -2\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s - 2*s + 1022 - 2026 + 1036.\nAnswer: -s + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49 by 604416.\nAnswer: -49\/604416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10 + -1)*((-2)\/3 + 0). Let u be (l\/(-5))\/(4 - 1028\/260). Solve 4*c + u = 18 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14593, -29181, -43765, -58345, -72921, -87493?\nAnswer: -102061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + -23434?\nAnswer: -23433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66286, -66719, -67156, -67597?\nAnswer: -68042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -13171, -39042, -64913, -90784, -116655, -142526?\n\"Answer: -25871*k + 12700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*j - 2624 = -177*j - 601 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, r: 5, x: 8}. What is prob of sequence ggrg?\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 l, 1 p, and 1 h when four letters picked without replacement from llhpphlippilhlllppl?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -8. Let d be 35 - (-2 + (2 - 2)). Suppose -k*j + d = 7. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 14*j**3 - j**2 - 2*j - 2. Let b be y(-1). What is the lowest common multiple of 20 and (1 + 27\/b)*-5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (4 + (-5 - 3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20463\/3514 - 134\/251. Find the common denominator of m and -9\/4186.\nAnswer: 4186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5431939 is divided by 50?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.37 + -0.03. What is the third smallest value in d, -0.3, -1\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 325864.4 - -1.7405.\nAnswer: 325866.1405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (2 - 1) - (-31 - 6) - (-561 + 564)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 0)*(-3 + 8). Suppose x*l + 3*j - 34 = 0, -4*l - 3*j - 6 + 35 = 0. Solve 0 = -3*s + 3*h + l + 7, 5*s + 4*h = 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = 3*c + 16. Suppose 4*p + c = -4. Is 10 a factor of ((-64)\/10)\/(p\/10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b + 14*b - 5*b - 2*b - 7*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6726083?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -211 smaller than -1261\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/17)\/m**11)**(8\/17)*((m\/m**(-2\/9))\/m)**49*(m*(m*m**(-8))\/m)\/m**(-6\/7) assuming m is positive.\nAnswer: m**(-6829\/18207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**3 - 71*r**2 - 142*r - 64. Let o(t) = -14*t**3 - 496*t**2 - 994*t - 446. Let i(v) = 44*l(v) - 6*o(v). Factor i(k).\nAnswer: -4*(k + 1)**2*(k + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 271 - 271.0096. Let q = v - -0.0103904. Round q to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 300, 598, 896, 1194?\nAnswer: 1492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-12)*6*(-22)\/495?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 + -21. Let y = 1 - 0.7. Sort y, j, -0.4.\nAnswer: -0.4, y, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 355801 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -147190\nAnswer: 1\/73595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(448) + 0))**2.\nAnswer: 16128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -134, 1948, 4028, 6100, 8158, 10196, 12208?\nAnswer: 14188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2002, -2336, -2666, -2992?\n\"Answer: 2*d**2 - 340*d - 1664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/960 and 137\/14760.\nAnswer: 118080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.119223486 - -427.119270186. Let c = a - 427. What is c rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**2 - 6*s. Let b(k) = -k**2 + 5*k. Let n(p) = -p**3 - 9*p**2 - 8*p - 5. Let g be n(-8). Let m(q) = g*j(q) - 6*b(q). Let u(i) = i. What is u(m(d))?\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/18872 and 83\/212310.\nAnswer: 849240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -14*h + 3. Let f(s) = -7*s + 1. Let v(p) = -6*d(p) + 10*f(p). Let i(n) = 5*n - 3. Determine 11*i(j) - 4*v(j).\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = g + 21048, -2*z - 5*g = 4566 - 15068. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(2\/51)\/i*i*i**(-17\/2)*(i\/(i*i\/(i\/(i**(-5\/6)\/i))))\/i**9 assuming i is positive.\nAnswer: i**(-797\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 21862031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3246\/1975 - 54\/79. Which is bigger: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 3, -1, -140 in ascending order.\nAnswer: -140, -1, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*k + 5*k - 88 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -52\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1602\/203 - -55\/7. Calculate the common denominator of j and (-5)\/30*94\/2 + 1.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**4 - 27 + 26 - 13 - 5*s**2 to q*s**3 + o*s**4 + c + r*s**2 + m*s and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and 4.08728027.\nAnswer: 4.18728027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -243 + 233. Let y(c) = -c**3 + 5*c**2 - 5*c + 5. Let w(d) = -2*d**2 + 2*d - 2. Calculate s*w(m) - 4*y(m).\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -962 + 982. Solve 10*l - 20*l = -h for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1340, 5845, 13352, 23861?\n\"Answer: 1501*v**2 + 2*v - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24488421903\/1855 + 13201306. Let a = u - -3\/371. What is the closest to 1 in a, -3, 7.6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 68204 by -118.\nAnswer: -578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3529444 weeks to nanoseconds.\nAnswer: 213460773120000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 0*p = 4*p - 14, 2*v + 3*p = 16. Solve 0 = -d - 5, 2*m + 3*d - v = 6*d for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 1 = -2*v. Let q be v\/3*(-12)\/2. Let a be (-5)\/q*(-2)\/(-10). Is a at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9390937.\nAnswer: 9390937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wyhayarwsrwaraaaya. What is prob of sequence wr?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of 9*r**8\/56 + r**4\/12 + r. Find the third derivative of s(x) wrt x.\nAnswer: 1080*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(80) + -2)**2 - sqrt(80).\nAnswer: -52*sqrt(5) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 + 74\/3. Let 2\/3 + 20\/3*i**3 + 10\/3*i**4 + t*i**5 + 20\/3*i**2 + 10\/3*i = 0. Calculate i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.17 + 0.3. Let l = 7.13 - x. Let u = l + -12. What is the closest to 1\/3 in u, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, z: 2, o: 1, d: 1}. Give prob of sequence bbz.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -2*t**2\/11 + 17792*t\/11 - 39569408\/11 = 0.\nAnswer: 4448","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6033371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/84 and 87\/4064?\nAnswer: 85344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 30957920 a multiple of 280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -363.95 - -397. Let f = 33 - l. What is the third biggest value in 1, -3, f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 10:40 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 - -0.1. Let m = 0.22 - -0.28. Sort m, l, 3 in decreasing order.\nAnswer: 3, m, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3d + 5?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171 is divided by 162.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -210122?\nAnswer: -210210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 + -0.2. Let r = -47192 - -47195. What is the closest to r in i, 0.4, 6\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -160684 in increasing order.\nAnswer: -160684, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-699840)\/121500*50\/(-4)\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1726394, -3453005, -5179618, -6906233, -8632850, -10359469, -12086090?\n\"Answer: -u**2 - 1726608*u + 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -19. Suppose 0 = -0*l + l - m. Solve -l = -u + 3*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 g when three letters picked without replacement from nugnsgngnuggunngnn?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 532 - 2180 = 70*z + 522 for z.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -3*w**5\/2 - 2122611*w**4 + 3*w**3 + 4245222*w**2 - 3*w\/2 - 2122611 = 0.\nAnswer: -1415074, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i - 3. Let p(c) = -8 - 4*c + 2*c + 4*c. Let w(k) = 2*k + 18. Let z be w(-5). Let f(m) = z*j(m) - 3*p(m). Let x(o) = -4*o**2. Determine x(f(s)).\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 + 1)*(-6 + 2 - 5) - 8 - 16 + 6)*(y**2 + 2*y**2 + y**2).\nAnswer: -108*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*n + 321*n = 1295 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 20, -4*l = 3*a + 83 - 259. Calculate the remainder when l is divided by 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35 + 35. Suppose 0 = u - q*u. Suppose 0 = -4*a - y + 303, u = 5*a - y - 168 - 204. What are the prime factors of a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 9847*i + 9891*i - 19740*i. Let b(t) = -3325*t**2 - 56*t - 56. Let w(g) = -175*g**2 - 3*g - 3. Let k(x) = 3*b(x) - 56*w(x). Determine k(j(z)).\nAnswer: -700*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 465259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1501? (a) 1\/7 (b) 1 (c) 1189\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -4*i**4 + 1634*i**3\/5 + 18472*i**2\/5 + 44034*i\/5 + 11592\/5 = 0.\nAnswer: -7, -3, -3\/10, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -247206.6 rounded to the nearest one thousand?\nAnswer: -247000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2347534221 to the power of 1\/3, to the nearest integer?\nAnswer: 1329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 10 + 0 = 0. Suppose -17 = -3*y - d. Solve i = -2*b + 6*b + 4, 2*b + y = i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2*((sqrt(304) + 0)*-4 + -5))**2.\nAnswer: -78224 - 2560*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2 = -5*l + 10, -24 = -3*l - 4*s. Suppose -2*a + 30 = 3*c - 54, l*c = 4*a + 112. Solve c = 5*x + 3 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, p: 1, y: 2, i: 1}. What is prob of picking 1 y and 1 i?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 20103343 (base 5) to base 2\nAnswer: 100111000001101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 3055788703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 26 or 2279?\nAnswer: 2279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3*n**2 + n. Let a(m) = -m**2 + 2*m - 12. Calculate -a(v) - o(v).\nAnswer: -2*v**2 - 3*v + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3457927?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/54796174 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 - -280. Calculate the greatest common factor of 17 and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c - 756 + 7*c - 2*c.\nAnswer: 2*c - 756","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jy when two letters picked without replacement from yjjjyyjyjy.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -47, -66, -89, -116, -147?\nAnswer: -182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (11*45\/(-70))\/((-9)\/60). Let k = w - 2943\/70. What is the common denominator of 42\/4*8\/66 and k?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -23, -994532 in descending order.\nAnswer: 1, -23, -994532","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 130095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 32*d - 63. Calculate h(30).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 2*a + 10. Let t(n) = n. Let q(r) = -5*t(r) - v(r). Let h be q(-4). Suppose h*w = 6 - 2. Solve -3*u + 4 = w*g, -3*u + 8*u - 28 = 2*g for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 780?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37753 + 95168. Let n = g - 39632. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f = -5*n - 39, 0 = -4*f - n + 628 - 643 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 904 - 904.2. Which is the nearest to -1\/3? (a) 3 (b) -4 (c) -0.06 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2015433 is divided by 2227?\nAnswer: 2225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -160423 (base 7) to base 4\nAnswer: -13223002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/184898 and -93\/290554.\nAnswer: 2033878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -0.4, 0, -2, 7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6655 (base 8) in base 4?\nAnswer: 312231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18319766 is divided by 1323?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 62*-1 + ((-7700)\/1225)\/((-18)\/(-63))?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 332340 and 300.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of 0*w**3 + 0 - 1\/20*w**5 - 2*w - 1\/12*w**4 + 0*w**2. Calculate the least common multiple of b(-2) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nunfn. What is prob of sequence nnun?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*f - 2*q - 26, -3*f - 769*q + 379*q - 14 = -385*q for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 2*z - 1062, 3*d + 702 = z + 162. What is the common denominator of (1\/(-6))\/((-2)\/(-153)) and z\/(-81)*(-3)\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 103441 or 620647\/6?\nAnswer: 620647\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-182)*3587311\/2054 + 38?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9527 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28.2 + -26. Let f = 2.305 - r. Let w = 0.17 - f. What is w rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m - 1. Let s be b(-5). Let w(y) = y**3 + 7*y**2 + 5*y - 1. Let a be w(s). Suppose -u = -a*u + 80. What is the greatest common factor of 100 and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v - 3*v - 18 = 0, -28 = 4*h + 9*v - 12*v + 5 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -407, 9, 40 in descending order.\nAnswer: 40, 9, -407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 8:27 PM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43 + -23. Let c = t - -27\/2. What is the common denominator of -39\/16 and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, 4\/7, 8, -1\/3 in increasing order.\nAnswer: -1\/3, -1\/7, 4\/7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -43550545*h - 32098319.\nAnswer: -43550545","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 3*b**2 + 6*b - 6. What is h(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2210 (base 5) in base 7?\nAnswer: -614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 163107 and 567.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 58 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 84 = -6*h. Let n(j) = -17*j**2 - 5*j + h*j - 8*j. Let u(s) = s**2 - 6*s. Let i(r) = r. Let d(c) = -6*i(c) - u(c). Determine d(n(a)).\nAnswer: -289*a**4 - 34*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13516333?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 79494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 53 - (-2 - -2 - 2). Let k = m + 2. Is 10 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 - 1310*b + 85805.\nAnswer: 5*(b - 131)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (11 - 16 - 17).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.06453, -0.2, 0.4, 2\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - 4*u + 5*u)*(7*u**2 - 7*u**2 + 20*u**4)*(-2 - 1 + 0 + (-6 - 22 + 16)*(4 - 3 + 0) + 5 + 0 - 3).\nAnswer: 260*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 243 + -225. Is o smaller than 36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77314 and 774.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.433 + -0.007. Let o = -15 + 14.56. Let g = l - o. What is the third biggest value in 0.1, 2\/7, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-3))\/((5*(-81)\/(-1215))\/((-38)\/4))\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w - 4*w - 15 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 + (-24 - (-20 + 43) - 8).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -3*m**3 - 25*m**2 + 15*m - 9. Let l be o(-9). Solve -l*y + 22*y - 4 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d + 272 = -10*d + 292 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -7*g**2 + 81*g + 7046. Calculate i(38).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -266\/9 + 29. Which is the second smallest value? (a) -0.33 (b) i (c) 2\/3 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*o = 13*o - 14 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.75911 micrometers to millimeters.\nAnswer: 0.00575911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*d = -66*d - 72. Let 2*j**5 - 2*j**4 + 6*j**3 + 16*j**2 - d*j**2 - 4*j**4 = 0. Calculate j.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j = -128 - 2002. Let y = -80 - j. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (76\/(-16))\/((-2)\/464). Let a = 235 + -227. What is the units digit of (-8)\/(-32) + x\/a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39521150.\nAnswer: 2, 5, 59, 13397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13876 + -54889\/4. Let u be (1\/(-1))\/((-1)\/158). Let j = i - u. What is the common denominator of -11\/4 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -246505 and 0.03606?\nAnswer: 246505.03606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5280471 divided by 11259?\nAnswer: -469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2132\/902 - (-4)\/(-11))*(-198)\/(-4). Solve -22*a = -11 - c for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + -10. Let l be (-88)\/y - (-2)\/(-5). Suppose l*m - 221 = -5*w, -w + 5*w - 144 = 5*m. Calculate the remainder when w is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a century in years?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 34 + 11 - 5*n.\nAnswer: -5*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 times -1.05015?\nAnswer: 37.8054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 163.842 rounded to 1 dp?\nAnswer: 163.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g**4 - 78280*g**3 - 510750864*g**2 - 1111733545824*g - 4438767178368 = 0 for g.\nAnswer: -6522, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 6 + 0 + -10 - 0\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -8. Suppose w = -f*w. Solve 0 = -x - j + 4*j + 1, -x + 4*j = w for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 482\/38283?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.09 in -12.7, 4, 0.33?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f - 7*f + 5*f + 383*f**2 + 655*f**2 in the form g*f + b + h*f**2 and give h.\nAnswer: 1038","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 167015718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2822 by 166.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 612?\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12202202010202 - -11?\nAnswer: 12202202010213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/6 + 1\/(-3) + 2. Let l(y) = -1. Let g(r) = -2*r - 12. Let v(i) = j*g(i) - 12*l(i). Let x(p) = p. Calculate v(x(b)).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 430261.2886 rounded to the nearest ten?\nAnswer: 430260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 85451072 divided by 92\nAnswer: 928816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -6*k + 63. Let q be s(10). Let w be -37 + 41 - (q - 1). Factor 1\/3*p**w - 4\/3 + p.\nAnswer: (p - 1)*(p + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 24806848, 24806829, 24806798, 24806755, 24806700, 24806633, 24806554?\n\"Answer: -6*g**2 - g + 24806855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 358709622.\nAnswer: 2, 3, 17, 251, 14011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 94427\/8 or 0.03?\nAnswer: 94427\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*c**4 + 4872*c**3 + 359745*c**2 - 3117504*c + 5983020 = 0. What is c?\nAnswer: -1546, -86, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007318286 to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 - 31. Suppose -t + 5*j = 2*j + 16, 3*t = -4*j + 17. Let l be (t\/6)\/((-2)\/9). What is the smallest value in 2\/7, l, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4565.097 + -4567. Let o = -0.0523 - 0.0007. Let i = o - s. Round i to 1 decimal place.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/3 and 86\/861.\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-9)\/(-2))\/((-24)\/(-32)). Let f = y - 1. Suppose t = -f*q + 10, -4*t + t + 5*q + 70 = 0. Calculate the remainder when t is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1130579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 57507\/4 - 14376. What is the smallest value in 1.3, k, 46?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 5*h**2 + 5*h + 1. Let p be t(-4). Let s be (-1)\/p - (-40)\/15. Suppose 52 = 5*j + 5*d - 33, s = -3*d. Is 9 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 10:10 PM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 6888*y + 640590. Determine w(-93).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g**2*g)*g*g\/g**3)**19)**(-43) assuming g is positive.\nAnswer: g**3268","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1477 + 1671. Calculate the remainder when b is divided by 63.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7}. Give prob of sequence ss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 100 + 3*(-1)\/3. Let r = y + -99. Solve r*x - 4*x = 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -121, -240, -359, -478, -597, -716?\nAnswer: -835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 - (12 + -2))\/(-1). Let m = -1 + 0. Let s = 10 + m. What is the highest common divisor of f and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35 - 334*o**2 - 4*o**3 + 342*o**2 + 2*o**3 to the form g*o**2 + v + n*o + l*o**3 and give v.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence veh when three letters picked without replacement from heevhvehhhehv.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -15, -2\/43, -22, 3\/8?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.56 take away -120919?\nAnswer: 120918.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 230841.8ug?\nAnswer: 0.0000002308418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -53, 10, 5, 3, -1 in decreasing order.\nAnswer: 10, 5, 3, -1, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 676 - 721. Let o be 3*10*(-24)\/r. Solve -o + 4 = 4*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 458 is divided by 79.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34596816 divided by -24.\nAnswer: 1441534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5734458920 divided by 5.\nAnswer: -1146891784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 10*p**2 + 38*p + 37. Let l be t(-13). Is l at most as big as 55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, l: 2}. What is prob of sequence lu?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -302 + 7 = -5*t. Let v(r) = -8*r - 4. Let x be v(-3). Suppose b = -0*b + x. Calculate the remainder when t is divided by b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 400150 + -400152.60029. Let p = -3 + 5.6. Let r = p + z. What is r rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-17))**(39\/5)\/(a**(2\/7)*a*a\/(a*a**(-5\/6))*a) assuming a is positive.\nAnswer: a**(-26863\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*s**3 - 64*s - 5*s**4 + 64*s - 5*s**2.\nAnswer: -5*s**2*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -201, -398, -583, -750, -893, -1006?\n\"Answer: k**3 - 204*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifty-one eighths of a milligram?\nAnswer: 6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, h: 6, z: 7}. What is prob of sequence hzh?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 535283 and 658?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -107 + 104 - (0 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4\/7 (b) -0.17 (c) 1\/2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 21433878, 21433883, 21433888, 21433893, 21433898?\n\"Answer: 5*q + 21433873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 3*q = 96. What is the common denominator of 358\/120 + (-3)\/12 and (-3 + -1 + 3)\/((-10)\/q)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + 1 + 3 + -6. Let v be (0 - -1)*0\/s. Suppose -9*c + 5*c + 252 = v. What are the prime factors of c?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 2878?\nAnswer: -2873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-14)*(-11)\/(308\/(-21))*-18.\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10703284620 take away -0.4264?\nAnswer: 10703284620.4264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -70 * -414.6535\nAnswer: 29025.745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 17 + (-5 - -11) + 11?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/((-15)\/(-30) + -2). Solve 0 + 12 = a*m - 5*z, 0 = m + z + 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - -6 - -24 - 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 1\/13, -280, -4, 2\/9?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01698 to three dps.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 28*j**3 - 310*j**2 + 297*j + 3. Let k(d) = 132*d**3 - 1548*d**2 + 1486*d + 14. Let a(o) = 3*k(o) - 14*l(o). Suppose a(t) = 0. What is t?\nAnswer: 0, 1, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 - 22222?\nAnswer: -22203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + 1 + sqrt(2736) - (4 + (sqrt(2736) - (sqrt(2736) + -1)))) + (sqrt(2736) + 0 + 4)*3)**2.\nAnswer: 480*sqrt(19) + 43801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -0.2 (c) 1\/10 (d) 1\/43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14) - -3*(sqrt(14) - (sqrt(224) - sqrt(14))))\/(sqrt(567) + -4*sqrt(567)))**2*-4 + -2.\nAnswer: -1658\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 7*g**2 + 5. What is t(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 480260*r*u - 1239*r + 161 wrt u.\nAnswer: 480260*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 6*z + 1. Let j be 1 + (0 - 7)\/1. Let c be s(j). What is the greatest common factor of 8 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -468 - -687. Let b = -145 + u. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1584\/(-1408)*(1 - -7).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.4, 3.9 in increasing order.\nAnswer: -0.4, 3.9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + 119*u + 333. Give g(-116).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49879902?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fcfr when four letters picked without replacement from alffaraaffffc?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (89 + -90 - (-11 + -1)) + -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -24100345 (base 8) to base 11\nAnswer: -2a83932","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of 0 - 1\/20*y**5 - 7\/12*y**4 - 4*y - 5\/6*y**3 + 0*y**2. What is s(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-8))\/(11\/308). Suppose 3*p - 168 - v = 0. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 474 and 307846173.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(1\/2))**(-3\/34)\/((j*j\/j**(-2\/7)*j)\/j**(1\/6))*((j\/(j**7\/j*j)*j)\/j**(3\/2))\/((j*j**(-3\/10)\/j)\/j**(-1\/3)) assuming j is positive.\nAnswer: j**(-69863\/7140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*l + 17 = 0, o - 2 = 3*o + 2*l. Suppose -o*x - 3*j = 3*x - 246, -5*x = j - 242. Calculate the highest common divisor of 12 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(252) - (0 + sqrt(1008))**2) + 2*sqrt(847) + sqrt(49)\/sqrt(7)*-2 + -1.\nAnswer: -1009 + 14*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(425) + 1 + -3 + sqrt(272) + -4))**2.\nAnswer: -432*sqrt(17) + 5652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -813*m - 3931. What is the tens digit of g(-35)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 112 and 11.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 122*v**2 + 4655*v - 451. What is o(-38)?\nAnswer: -1173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 8\/180*(-9)\/(-1)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5773, -5774, -5775, -5776?\n\"Answer: -n - 5772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 9, 0*x + 3*t = x - 15. Suppose n = 2*n - 12. What is the greatest common factor of n and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 245.33865 months in millennia?\nAnswer: 0.0204448875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 10 + 86*t - 88*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 12 = 0, -5*g = -8*f + 5*f - 6. What are the prime factors of ((-21)\/6 + g)*-22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1109.72 - -1071. Let y = -35.3 - f. Let j = 0.38 + y. Round j to 0 dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -5230021?\nAnswer: -1046004.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j + 4*j + 0*j. Suppose -5*n - 26 = 5*v - 1, 0 = 4*n + 3*v + 15. Let c(a) = -a - a - a + n. Determine c(g(l)).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 10, a: 4}. Give prob of picking 3 a.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -716.008 - -719. Let u = d - -0.008. What is the smallest value in u, -0.4, -2\/3, 1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -52*f**2 + 4820*f + 119. Calculate m(92).\nAnswer: 3431","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**5\/9 - 14*w**4\/9 - 250*w**3\/9 + 1102*w**2\/9 + 8960*w\/9 - 9800\/9 = 0. Calculate w.\nAnswer: -7, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 10\/7*l + 2\/7*l**2 + 0 = 0?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000088875 to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 4*o**2 + o + 2. Suppose 0 = -6*z - 4 - 164. Let y be (-99)\/(-21) + 20\/z + 1. What is l(y)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/5 + (-64)\/(-10). Suppose -3*k = -c*k + 30. Calculate the highest common factor of k and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -422188*h + 9*h**2 + 211099*h + 0 + 0 + 211089*h.\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 92 and 400315?\nAnswer: 1601260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 95*b + 159*b + 212 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16536?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4 - 1020*s + 16 - 13 - 9. Let k(n) = -n. Give k(j(l)).\nAnswer: 1020*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/4)\/((-3)\/(-12)). Let t(f) = -46*f - 507. Let p be t(-20). Is p - (z\/(-11) + 230\/55) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 499 = -3*l, 5*g + 5*l = -0*l + 625. Let i = 135 - g. Is i a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q + 137 = 82 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = -8*c + 3*c - 2*k, 0 = -5*c - 5*k + 165. List the prime factors of c.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 5, -289, 0 in descending order.\nAnswer: 5, 4, 3, 0, -289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -5, 3\/4, 1\/7, 1\/2.\nAnswer: -5, 1\/7, 1\/2, 3\/4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8 (b) 2 (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (((-5)\/(-325))\/((-2)\/(-4)))\/(26\/(-390))\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 3 = -4*x - 2, 0 = 5*y - x + 5. Let q = y - -5. Solve -d**2 + 2*d**3 + d**q + 0*d**4 - 2*d**4 = 0 for d.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218202 + 218209 - 436431 - 4*k.\nAnswer: -4*k - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p + 9. Let n be w(5). Solve 3 = n*a - 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2770 <= -47106\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -102.71 - -103.42. Which is the biggest value? (a) -12 (b) 0.2 (c) 4 (d) -2\/15 (e) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 6 - 12. Suppose -5*i + f + 10 = 2*x, -2*i - 4*x = 0. Suppose j = -0*w + 4*w - 21, -w = i*j + 16. Put 3, -3, j in ascending order.\nAnswer: j, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 215613, 215600, 215601, 215628, 215693, 215808, 215985?\nAnswer: 216236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 8:47 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -114*v**2 - 1393*v - 35. Calculate b(-12).\nAnswer: 265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10203 is divided by 1129.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 722.0593 - 722. Is -2\/7 != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9064 and 3413008?\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 73844803 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6478, 6480, 6470, 6442, 6390, 6308, 6190?\nAnswer: 6030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 65594 - 0?\nAnswer: 65594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 191071*s**5 + 3505539*s?\nAnswer: 3821420*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 5*x + 5 + 14, 0 = x + 5*w + 8 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(4\/2))\/(10\/110*-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5310621 is divided by 88?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 380.28 + -387. Let x = q + 6. Round x to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + i - 4*i)*(0*i**4 - 3*i**4 + i**4) - 8 - 35 - 10167*i**5 - 639*i**5 + 43.\nAnswer: -10802*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -7. Find q such that q**5 - q**5 - 13*q**4 - 2*q**k + 17*q**2 - 3*q**5 - 4 + q**3 + 4*q = 0.\nAnswer: -2, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n. Let q(t) = t**2 + 29*t + 130. Let z be q(-24). Let v(o) = 27*o + 40*o + o + z*o + 5*o. Determine c(v(x)).\nAnswer: -166*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2000)\/780)\/(-25))\/(2\/(-6)).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2*sqrt(1300)*-1)**2*-1 + (sqrt(1300) - 2*(sqrt(1300) - 3*sqrt(1300))**2) + -6*(sqrt(1300)*2)**2.\nAnswer: -46816 - 150*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -579, -5, -553, 9 in decreasing order.\nAnswer: 9, -5, -553, -579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d - 18238*d**2 - 4268*d**2 + d.\nAnswer: -22506*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 6.76. Let v = 0.5 - s. Let m = v - -3.36. What is m rounded to zero decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 29*s**2 + 65*s - 92. Let h be z(31). Solve 5*k + h = -2*o, -3*k + 4*o + 9 = 20 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 83*s + 28 - 46*s - 40*s.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-30)*-2*(-2)\/(-2)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*d - 2*n, 5*d + 2*n = 6*n + 26. Suppose 18*o**2 + 52*o**3 + 28*o**2 + 28*o**4 + d*o**5 + 4 + 26*o + 2*o**2 - 4*o = 0. Calculate o.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.068, 3, -5 in decreasing order.\nAnswer: 3, 0.068, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 220 and 6930.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 457*a - 122*a - 119*a - 116*a - 101*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 9:19 PM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + (208\/20)\/(92\/345). Solve -38*z + o*z + 2 = 5*a, 0 = -3*a + 6 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -937\/5 >= -188?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 5:41 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of u**4\/12 - 104*u**3 - 18*u - 69. Let s(r) = -18*r. What is j(s(t))?\nAnswer: 324*t**2 + 11232*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 9086?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 + (-17 + 35 - 24).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-70)*-7 + 4\/(-5)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2657794, -5315607, -7973420?\n\"Answer: -2657813*h + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 2:00 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, o: 1, w: 2, u: 2, p: 2}. Give prob of picking 1 n, 1 o, 1 p, and 1 u.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**3 + 140*x**2 + 142*x - 97. Give f(-69).\nAnswer: -373","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -215.985 + -0.015. Let g = x + 216.000286. What is g rounded to five decimal places?\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-51)\/255)\/(2*2\/(-4)))\/(67\/5)?\nAnswer: 1\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 80 + -92. Let t be (-3)\/l - (-3)\/6. What is the second smallest value in t, -3, 0, 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4981*n + 706*n + 2935*n + 1636*n as v + i*n and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 + 11*f + 1. Let g be b(10). Let l = g - 7. Let t = 66 - 34. Calculate the highest common divisor of t and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 5 + 11 + 4 - 61 - 18*k. Let i be z(7). Do i and -168 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 - 693?\nAnswer: -687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -p + 42. Suppose -2*n + 5*g = -33, -4*n + 6 + p = -4*g. Suppose 20888 - 888 = -n*c. Round c to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134775061 to the power of 1\/5, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + -4. Let h(u) = -u + 20. Let g be h(20). Sort d, -4, g in decreasing order.\nAnswer: g, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 2*k + 79 = -13, 6*n - 9*n = -99*k + 393 for n.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -448 - -145. Let z = -171 - f. Let g = -116.8 + z. Round g to the nearest integer.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z**3 + z**3 - 3*z**3 + (7*z - 2*z - 3*z)*(-2*z**2 + z**2 - z**2) - 4*z**3 - 2*z + 2*z + 4 - 4 - 3*z**3.\nAnswer: -9*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6896569 is divided by 310?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 336 + -336.3. Suppose -5*f - 1 = -21. Which is the nearest to f? (a) -1 (b) l (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1ad - -3?\nAnswer: 1b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 + -0.2. Let i = 0.04 + -0.04. Let z = -2 - i. Which is the closest to 2\/3? (a) -3 (b) z (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 37, 75, 111, 145, 177?\n\"Answer: -r**2 + 41*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**4*r*r\/(r*r**(-11))*r*r**15*r*((r\/r**6)\/r)\/r)**(1\/8) assuming r is positive.\nAnswer: r**(13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 11*q**2. Let n be -3 + 1 - 190\/(-76). Let a(x) be the first derivative of n*x**2 + 0*x + 13. Determine y(a(b)).\nAnswer: 11*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*l**6 + l**6 + 2*l**2 - 8*l**2 + 10*l**2 wrt l.\nAnswer: 120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1*2405 + (-3)\/(-18)*18?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 81 and (-359)\/(-4) + (-1 - 20\/(-16)).\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxbjbxxjxxggbcrjx. Give prob of sequence rxb.\nAnswer: 7\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 e when four letters picked without replacement from {i: 1, e: 8, g: 10}?\nAnswer: 80\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10869?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/395? (a) -2 (b) 31 (c) 0.7 (d) -1 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 16*d**2 - d - 1. Suppose 3*u + 3 = 0, 3*m + 2*u - u + 4 = 0. Determine s(m).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 5*f = -115, 2*f + 47 + 40 = 5*z. Suppose -3*s + h + 17 = 0, -4*s = -0*s - h - 22. What is the remainder when z is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 e, and 2 c when four letters picked without replacement from {c: 3, l: 1, u: 6, e: 3}.\nAnswer: 54\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/11? (a) -0.08645 (b) -4 (c) -2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 6*((sqrt(3456) - sqrt(3456)*-2 - sqrt(3456)) + (sqrt(2400)*-1 - sqrt(2400)))\/(sqrt(84)\/(-1*sqrt(252))).\nAnswer: -144*sqrt(2) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 9*h**2 - 4*h - 2. Let x(k) = k**3 - 10*k**2 + 5*k + 3. Determine 3*c(p) + 2*x(p).\nAnswer: -p**3 + 7*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43\/4 + 204\/19. What is the smallest value in 0.5, v, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 38\/30 + 15\/(-9). Let x = -1323.403 - -1323. Put r, 0.5, x in decreasing order.\nAnswer: 0.5, r, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73274*k - a = 73270*k - 5, -3*k + 1815 = 363*a for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -26, -37, -62, -107, -178?\nAnswer: -281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 0. Let w = 3713\/90 + -411\/10. Let k = w + -5\/9. Which is smaller: k or h?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) - 2*sqrt(170)*-2) + -6*sqrt(170)*-1)\/(-1*sqrt(1210) + sqrt(1210) - sqrt(1210)*2).\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2919*s**5 + 971*s wrt s?\nAnswer: 58380*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 6\/7*9\/18\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -5. Suppose 5*g - 125 = d + 4*d, 2*d - g = -52. Let l be (d\/(-108))\/(6\/8). What is the nearest to l in -4, j, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/3*30\/90.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + y + 8 = 0, 0 = 12*y - 13*y + 1. Suppose -m - 3*q + 33 = s*m, -2*q = 2*m - 16. Solve -3*j + 24 = -m*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101202 (base 3) in base 8?\nAnswer: -442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c57 + 201?\nAnswer: 1158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124389 is divided by 584?\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 27733, 55469, 83205, 110941, 138677?\n\"Answer: 27736*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*w = 60*w + 57*w - 215104. Calculate the remainder when w is divided by 249.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 0. Let b be 0\/4 - z*24. Let p = b - -68. Solve l = -0*l + 5*q - p, q - 4 = l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 11*w**2 + 33*w + 21. Let i be 2176\/(-112) + 19 + ((-72)\/(-7))\/(-4). Calculate g(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10027*o*v**5 - 2425*o*v**4 - 5*o*v**2 - 206*o*v - o + 34*v**2 - 214 wrt v.\nAnswer: -601620*o*v**2 - 58200*o*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbbggbbbbgbbbgbbg. Give prob of picking 3 b.\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 229303\/414 + -4984\/9. Let h = -6\/23 + m. Let p = -0.8 + 0.4. Which is the closest to 1\/3? (a) p (b) -0.1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*p + 15*p - 600. Let s = p + -42. Which is smaller: 35 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 20, -13, -46?\n\"Answer: -33*u + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59517?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 429209050.\nAnswer: 2, 5, 19, 451799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19528821, -19528795, -19528769, -19528743, -19528717?\nAnswer: -19528691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x + 119 = 2*j + 213, 5*x = -3*j - 85 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000005541 rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1666 - -1668. Solve l*q + 6*q + 24 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.04, -2\/9, 5, -1.2, -7?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 4*c**2 + 1. Let l be m(-1). Suppose s - l*h = -19 - 0, -h + 23 = 3*s. Suppose s*o = o + 335. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-32)\/(-6)*18\/4. Let c(r) = -23*r - 1122. Let v be c(-54). Calculate the greatest common factor of a and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*b + 3376 = -23*b + 2992 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 2*z. Suppose -5*l + 800 = -z*l. Suppose 3*f - l = -f. What is the remainder when f is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**7*m)\/m)\/(m*m\/(m\/m**(-1)))*m**(-2)*m**(1\/2) assuming m is positive.\nAnswer: m**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2592) + 3)**2.\nAnswer: 216*sqrt(2) + 2601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/45*(-5)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1621.101l?\nAnswer: 1621101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 4*g**2 + g - 1. Let z be a(-2). Let x = -97 + 493. Suppose -i = -d + 100, -10*d = -6*d - 5*i - x. Calculate the greatest common factor of z and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) - -6*sqrt(396) - (-3*sqrt(110) - sqrt(110))\/sqrt(10) - (-1*sqrt(1375))\/(3*sqrt(5)*-2).\nAnswer: 241*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 6520 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -f**7\/168 + f**6\/120 + f**5\/40 - f**4\/24 - f**3\/24 + f**2\/8 + 6*f. Solve t(i) = 0 for i.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/16 - (-15)\/12. Let w(v) = -3*v**2 + 6*v**o - v**2. Let a(r) = 31*r - 2. Let l(u) = 155*u - 11. Let b(m) = -11*a(m) + 2*l(m). Give w(b(n)).\nAnswer: 1922*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1198677087?\nAnswer: 3, 133186343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9167927 a multiple of 1249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g - 4. Let k be v(-2). Let j = k - -4. Let i(t) = 6*t**3 - 3*t**2 + t - 1. Is i(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 10*u**2. Let t(h) be the second derivative of -h**6\/36 - 52*h**3\/3 + 6*h + 1. Let j(b) be the second derivative of t(b). Determine j(a(w)).\nAnswer: -1000*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15627 (base 9) to base 8.\nAnswer: -24735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5336 and 696.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1158593 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.4 - -4. Let f = -0.2 - h. Suppose 16 = -4*s + 4. What is the closest to f in 4, s, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.91488 weeks in days?\nAnswer: 55.40416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -5*c + 5. Let m be (2\/2)\/((-2)\/22). Suppose 4 = -2*k + 16. Let a(s) be the first derivative of -9*s**2\/2 + 9*s - 1. Give k*a(y) + m*g(y).\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b - 6*g + 42, -562*b + 5*g - 5 = -557*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 606 times 2.4\nAnswer: 1454.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j, 1 l, and 1 k when four letters picked without replacement from xxyxjlxljkxxxx.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100010000100101 + 11?\nAnswer: -100100010000100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hs when two letters picked without replacement from {x: 1, g: 1, h: 1, s: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -87 at most as big as 10381?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8712 - -14331. What are the prime factors of w?\nAnswer: 3, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 20 = -271*y + 266*y - 9*n, y = 9*n - 44 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 406 + -528 + 55 + 8.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -920.000001271 - -920. Round s to 7 dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1158*k - 257*k = 1212*k + 568*k + 9585 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.161 + -47.361. What is x rounded to zero dps?\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y + 1. Let v(b) = -45*b - 5. Determine 5*n(z) + v(z).\nAnswer: -40*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 3953094.3873 to the nearest 1000.\nAnswer: 3953000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 824.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 + 17. Let u = 11 - h. List the prime factors of u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1898826725.69999966 + -1898826743. Let a = 17.3 + i. What is a rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (7 - (-3 - -17) - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8151.376 decades in centuries?\nAnswer: 815.1376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -137 + 142. Solve 2*d + 14 = 4*x - 8, f*d + 37 = 4*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dvdq when four letters picked without replacement from vqrrdd.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.6 + -2. Let f = -1.06 - -1. Let t = 0.16 + f. Which is the nearest to t? (a) 3 (b) g (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of 2*g**3\/3 - g**2 + 16*g - 39. Is 20 a factor of l(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 9, -2 in ascending order.\nAnswer: -2, 3, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 45\/8 of a meter?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 6:42 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -13668*g + 2 - 2 + 13463*g in the form a + k*g and give k.\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -417*p + 83375 - 75452 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1570*q**2 + 39*q - 3 wrt q?\nAnswer: 3140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 6*t**2 + 0*t - 5 + t**3 + 3*t - 2*t. Let f be q(-5). Factor -3*g**2 + 3*g**3 + 4*g + 8*g + 3 - f*g.\nAnswer: 3*(g - 1)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b + 11. Let x(z) = -831 - 641 + 1471. What is -l(s) - 4*x(s)?\nAnswer: 3*s - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/10*(-370)\/(-111)*3\/(-73).\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.041 + 0.959. Let f = 0.6 - 7.6. Sort f, 0.4, s in descending order.\nAnswer: s, 0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + k - 80 = 0. Suppose 50 - k = q. What are the prime factors of q?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-4))\/((-40)\/136960). Suppose 19*n = 15221 - a. Is 23 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7 + 0.2. What is the smallest value in 2, 0, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a century in months?\nAnswer: 5100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 20 = -0*y. Suppose -4*l = -3*c - 0*c + 3, 4*c - 3*l = y. Solve -3*a + 3 - 8 = -2*d, 0 = -2*a - 3*d + c for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19511 times -1\nAnswer: -19511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 5 - 1)*(0*q - q + 5*q) + (-3 + 6 - 2)*(2 - 2 + q) + 2 + 2*q - 2.\nAnswer: 11*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 5415 = -5420. Solve 2*j - 4*h - 10 = 0, k*j = 4*j + 3*h + 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l - 16062514*l**2 - 3*l + 16062459*l**2.\nAnswer: -55*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2808 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*m + 0 + (-5*m + 5*m + 2*m)*(101 - 39 + 77).\nAnswer: 276*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**2 - 12*i + 14. Let q(x) = -x**2 - 12*x + 13. Let j(c) = -3*l(c) + 2*q(c). Let j(a) = 0. What is a?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of 128 + 7\/2*h**2 + 38*h**3 - 2*h. Find the second derivative of q(a) wrt a.\nAnswer: 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-3) - 5\/(-9)*6. Suppose -4*s - 13*k + 2740 = -16*k, i*k + 2740 = 4*s. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37237, -37232, -37215, -37180, -37121, -37032?\nAnswer: -36907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = 52*a + 221*a + 2414 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*t**4 + 221*t**2 + 0*t**3 - 42*t**5 - 36*t + 22*t**3 + 11*t**3 - 24 - 35*t**2 = 0. What is t?\nAnswer: -2, -2\/7, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p**2. Let r(d) = -251*d. Give r(l(s)).\nAnswer: -753*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**4 - 1606*x**3 - 37392*x**2 = 0.\nAnswer: -779, -24, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 57\/7? (a) -4\/7 (b) 3\/7 (c) -2 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1092878 divided by -11?\nAnswer: 1092878\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 + 9\/8*o + 3\/8*o**2 = 0.\nAnswer: -8, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 634*o - 615*o + 3*s + 216 = 0, 80 = -5*o + 5*s for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 5*w - 778, 6*w = 3*h + w - 1167. Is h a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 - -23. Let v be ((-94)\/3)\/(s\/12). Let w = -49 + v. Let x(a) = -a**2 + 2*a + 3. What is x(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 9:04 AM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*v**2 - 3*v**5 + 3*v**5 + 7*v**6 - 4*v**2 wrt v.\nAnswer: 840*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + p - 139 = 0, -4*g - 3*p + 705 = g. What is the greatest common divisor of g and 96?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15847.\nAnswer: 13, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12.99904 + -13. What is d rounded to four dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1040 a factor of 2842320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 4*d**2 - 29*d - 109. Let q(w) = -3*w**2 + 27*w + 98. Let n(j) = -2*p(j) - 3*q(j). Determine n(25).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = q, -4*q + 2*q = w + 8. Let v be (3 - 14\/5)*w\/8. Solve 2*x + 10 = v, -3*x - 13 = -f - 2 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 + 663?\nAnswer: 669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*u + 110*u = -531 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4987767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 483879 - 93240 = 59*d. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15745147433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 185 - 94. Let g = p - 86. Let y(h) = -h**2 + 6*h + 2. What is the remainder when 18 is divided by y(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 12.4, -11\/19, -2, 2, -1\/7, 1\/3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) + -3*(sqrt(228) + sqrt(228) + -1*sqrt(228) + sqrt(228) + sqrt(228)) + sqrt(228))\/(sqrt(132)\/(-2*sqrt(11) + sqrt(11))).\nAnswer: 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/7 + 32*v**2\/7 + 34*v\/7.\nAnswer: -2*v*(v - 17)*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*y**4 - 116249940*y**3 - 116249955*y**2 - 29062490*y.\nAnswer: 5*y*(y - 5812498)*(2*y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4680 + -4679. Suppose 3 = m - 3. Solve m*q - w + 19 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 152 and 8.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(81))\/(sqrt(36)\/sqrt(3)).\nAnswer: -3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2720 - 121*a + 912 + 930 + 936 to i*a + m and give i.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22065.3 + 22074. Which is the second biggest value? (a) 0.3 (b) -2\/163 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.72 - -0.6. Let o = 4.88 - u. Let a = 3 + -3.5. What is the biggest value in -1, o, a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 377910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26.98 - -0.02. Let l = p + -29. Let h = 65 + -67. Is h less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -5*h**3 + 3*h**2 - 9*h - 3. Let a(o) = 2*o**3 - 2*o**2 + 4*o + 2. Let s(i) = -7*a(i) - 3*k(i). Give s(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**3 + 2*b + 6*b**2 + 6*b**2 + 4*b**2 - 18*b**2 + 11 as i*b**3 + l*b + h*b**2 + d and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iif when three letters picked without replacement from yieefi?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three sixteenths of a centimeter?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 9:42 AM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -10121202?\nAnswer: 10121200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 177\/5 - 35. Let i = 186.06 + -184. Let o = 0.06 - i. What is the biggest value in p, o, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 52, 5, -74, -185, -328, -503?\n\"Answer: -16*d**2 + d + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tvtnvttvttvttt. What is prob of picking 3 v?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 310 = 448. Let l = 544 - o. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12\/11, 1\/4, -30, 45 in increasing order.\nAnswer: -30, 1\/4, 12\/11, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 27 = 3*f - 83, -4*j = 4*f - 148. What is the remainder when f is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3401 and 26771?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 9*z**2 - 51*z - 14. Give v(-13).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4989 is divided by 1117?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*p - 74 = -p. Solve 17 - 27 = p*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -345, -2872, -9791, -23304, -45613, -78920, -125427, -187336?\n\"Answer: -367*w**3 + 6*w**2 + 24*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of 1135*r**6\/6 + 1070*r**3\/3 - 1017. Find the third derivative of h(x) wrt x.\nAnswer: 68100*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1810 by 362.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 8*h**2 - 2*h + 3. Let k be i(1). Let l = 26 + k. Calculate the remainder when l is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -12?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -741 and 0.09.\nAnswer: -66.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 + 7 - 4)*-1. Let h be 1 - 2 - -1*2. Solve -z = -s*z - h for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 14 + 8)*(1849*z - 25*z**2 - 1849*z + (-2*z + 2*z - z**2)*(-3 + 2 - 1)) + 2*z**2 - 3*z + 3*z in the form q*z**2 + s*z + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1108211040.\nAnswer: 2, 3, 5, 769591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1451 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**2*g*q**3 - 53*c**2*q**3 - c**2 + 2*c*g*q**2 - 33*q**3 wrt c?\nAnswer: 4*g*q**3 - 106*q**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8237*u**3 + 13*u**2 + 889*u + 45 wrt u.\nAnswer: -49422*u + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + n - 3. Let r(m) = -m**3 - 5*m**2 - m + 6. Let f be r(-4). Let s(g) = g**2 - g + 4. What is f*x(w) - 4*s(w)?\nAnswer: 2*w**2 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15820 is divided by 735?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 55580 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 1:49 AM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 0*r + 100 = 0. Suppose 155 = -20*m + r*m. Suppose -30*u - 108 = -m*u. Calculate the greatest common divisor of 12 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 193 divided by 4?\nAnswer: 193\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7023936 is divided by 1058.\nAnswer: 932","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -5*u**5 - 290*u**4 - 3720*u**3 + 12950*u**2 - 13555*u + 4620 = 0.\nAnswer: -33, -28, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003420031 rounded to four dps?\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + t - 3*t)*(-1 + 2*t + 1)*(t**2 - t**2 - 3*t**2) + (-842*t - 7*t**2 + 842*t)*(-1 + 1 - 2*t**2).\nAnswer: 20*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 240 and 345?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 8:18 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0438 + -1.3162. Let x = -1.26 - g. What is the third biggest value in 25, 1\/3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/17, -5, -0.3, 7, -0.0608?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of -5*k**3\/3 + 244*k. Let p(s) = 2*s**2 + 34*s. What is p(u(l))?\nAnswer: 200*l**2 - 340*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*f - 35*f + 828. List the prime factors of f.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -18*l**2 - 5*l - 6. Let a be w(-3). Suppose i - 124 - 93 = 0. Let j = a + i. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i - 23. Let z be (-10 - -11)\/(3\/45). Let d be w(z). Let t(x) = -x**2 + 6*x + 12. Give t(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -14981, -30077, -45169, -60257, -75341?\n\"Answer: 2*h**2 - 15102*h + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -433 - 1?\nAnswer: -434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 224730?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 8. Let y = u + 7. Solve 0*b - b - 1 = y for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1 (b) -4 (c) 13 (d) -34 (e) 2 (f) -24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-114*(-35)\/17290)\/(21\/14).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49889 is divided by 409?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.959 rounded to 1 decimal place?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - sqrt(35)\/sqrt(180)) + ((2*sqrt(252))**2 - sqrt(7)).\nAnswer: -sqrt(7)\/6 + 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 815.\nAnswer: 1630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 890\/173, -0.2, -2\/15, 0.8?\nAnswer: 890\/173","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8357 to the power of 1\/2, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = 4*w. Suppose p - 7 = -5*j - w, 4*p = j - 14. Let s be ((-1)\/(-8))\/(p\/(-4)). Which is smaller: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2414796 times -9\nAnswer: -21733164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 214.12 - 0.12. Let w = l + -206. Which is the smallest value? (a) -8 (b) 0 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = 151 - 2496. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 4)*(-6277*b**3 - 2875*b**3 - 469*b**3 - 3357*b**3) in the form y + t*b + a*b**3 + f*b**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b + 9. Let q be l(4). Suppose -5*h + 2*f = 1866, 5*h - 2*h = f - 1119. Calculate the remainder when h\/(-21) + 6\/q is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 395723211 and 351?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0.26, 24.2, 17?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000012641 to seven dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 80.8 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(-3 + 4 + 1). Solve 3*q = -i*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = r + 4*r - 15, 2*r + 5*a = -25. Let m(b) be the first derivative of -1\/12*b**3 - 1\/8*b**2 + r*b - 4. Factor m(f).\nAnswer: -f*(f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1212 divided by -6.\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 1344461?\nAnswer: -1344454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -39 divided by 6\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h\/(h\/h**(-1\/11))*h))\/h)\/h)**(-5\/2) assuming h is positive.\nAnswer: h**(105\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.316636069 less than -263084?\nAnswer: -263083.683363931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by -7?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a kilometer in meters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1070 (base 10) to base 5\nAnswer: 13240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8158005412?\nAnswer: 2, 2039501353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 divided by 8323.\nAnswer: 60\/8323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**3\/11 + 174*h**2\/11 - 8208*h\/11 - 750880\/11 = 0.\nAnswer: -76, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 110854.8 millimeters?\nAnswer: 110854800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 1032 + 2103. Calculate the remainder when y is divided by 176.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.023 - -0.187. Round i to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = t - 11*t + 91 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/6 and 89\/42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*w + 3 + 0*w**2 - 6*w**2 + 175*w**3 + 5*w**2.\nAnswer: 175*w**3 - w**2 + 106*w + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 8 + 15 + 3*w - 4.\nAnswer: 3*w + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5834686 and 4576.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -124\/707 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 212244 + -2420?\nAnswer: 205424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15.6 + -17.18. Let n = m + 1.5931. What is n rounded to 3 decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 441\/(-81) + (-2 - (-27)\/21)*-7.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 713 is divided by 177?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 24420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.07, 32, -1.8?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 16\/5277?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**3 - 3*n**3 + 32 + 24*n - 4*n**4 - 16*n**2 + 6*n**4 - n**3 + 0*n**3 = 0 for n.\nAnswer: -2, -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1341 smaller than 0.11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1991 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 507339823?\nAnswer: 17, 29843519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -247*k**2 + 537*k**2 - 98*k**2 - 102*k**2 - 94*k**2.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 85233 = 4*h - 85236, -3*y + 27 = 15*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 305754721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2350011 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**3 + v**3 + v**3)*(250*v - 181*v + 77*v).\nAnswer: 292*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*g**3 + 838*g - 424*g - 414*g + 2 - 64*g**4 - g**2 as h*g**4 + a + c*g**3 + y*g**2 + u*g and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-one eighths of a gram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -91076, 7 in descending order.\nAnswer: 7, 4, 2, -91076","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-14560)\/624)\/(56\/(-21)). Factor 1 + 49\/8*d**3 - 13\/2*d + a*d**2.\nAnswer: (d + 2)*(7*d - 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17255 - 17252. Solve -2*q + 2*j = -r*j, -j = -4*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 0 - 3)*(-1 + 2 - 2)*(5 - 5 - m)*(-2*m**2 + 0*m**2 + 3*m**2) to the form u*m + g*m**2 + o + x*m**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4353 + -2302. Let i = j + -1334. Suppose -i = -7*g + 95. What is the remainder when g is divided by 40?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in months?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 263244, 263253, 263298, 263397, 263568, 263829, 264198?\nAnswer: 264693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10844 is divided by 2684?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 AM and 10:32 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i + 8. Let p be l(0). Suppose h = -4*z + 15, -z - 20 = -3*h + p*h. Suppose -8*j = j + 18. Sort h, 4, j in decreasing order.\nAnswer: 4, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 295648817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70580913 and 21717204.\nAnswer: 282323652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 9*k**2 - k - 11. Let i be n(-9). Is 10 a factor of i\/((-16)\/(-100))*-4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171 is divided by 39?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven eighths of a meter?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/3 + (-148)\/12. Let x = 19 + n. Let t = -4 + x. Solve t = -2*c - 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 c when two letters picked without replacement from lzllbcs?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.2 - 1.2. Let z = -7.1 + w. Sort 0.5, z, 6\/7 in descending order.\nAnswer: 6\/7, 0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69160 a multiple of 172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/5, -2\/5, 1, -2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2116616 is divided by 413.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 3*q - 5*i, 2*i + 8 = -2*q - 2*i for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -24, 0.3, -227, -3, -0.5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**3 + 23889*b**2 + 47087769*b - 1872936117 = 0. What is b?\nAnswer: -4001, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**2 - 22 + 0*n**2 - 9*n + 2*n**2 - 7*n**2 + 3*n**2 to the form q + i*n + p*n**2 and give i.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.718617 years in millennia?\nAnswer: 0.000718617","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-14)\/(-35) - 76\/(-10). Let s(v) be the first derivative of -v**3\/3 + 9*v**2\/2 + 11*v + 1. Is s(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 282 and 10?\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 5*z - 8 = -z, 3*v - z + 33 = 0. Let a be 16\/40 - 28\/v. Suppose -4\/5 - 6\/5*k**3 - 14\/5*k - a*k**2 = 0. What is k?\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2\/9 + 41968*d\/3 - 251824\/9.\nAnswer: 4*(d - 2)*(d + 31478)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -59, -5, 4 in descending order.\nAnswer: 4, -5, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 746*z**2. Let x(d) = -4*d. Calculate x(c(q)).\nAnswer: -2984*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -73604.3472 rounded to the nearest one thousand?\nAnswer: -74000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 198?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (90*i + 312*i - 28*i)*(0 + i**3 + 0) + (i**3 - 3*i**3 + 3*i**3)*(0 - 2*i + 0).\nAnswer: 372*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.073 + -11.073. Sort -5, p, -2\/3, -4\/7 in descending order.\nAnswer: -4\/7, -2\/3, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 200045\/12 - 16681. Suppose 0*n = -n + 5*x - 21, 3*n - 2*x + 11 = 0. What is the common denominator of n - (-4)\/48*-73 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (4 - (4 + 0)) + -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 24*u - 8. Let c(x) = -12*x + 5. Let l(z) = -5*c(z) - 3*d(z). Let n be l(-1). Let k(m) = m**2 - 12*m + 5. Give k(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 - 0. What is the remainder when w is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110010000001010100011 (base 2) in base 7?\nAnswer: 16634434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -48*p**5 - 1162*p**4 + 7*p**3 + 7721124*p**2 wrt p.\nAnswer: -2880*p**2 - 27888*p + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 3 + 36*b + 117*b - 35*b to the form n + r*b and give r.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 2\/7 (b) -2 (c) 2 (d) -1 (e) 324\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 42, 65, 90?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -n**9\/56 - n**5\/20 + 6*n**2. Find the third derivative of g(d) wrt d.\nAnswer: -1080*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3909 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f. Let s(t) = -806954646*t**2. What is x(s(k))?\nAnswer: -806954646*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.1 + 4.11315. What is f rounded to three decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m - 12. Let f be i(-8). Let o = 0 - -2. Solve 0 = -a - f + o for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 196*a**2 + 24*a. Let r(o) = 3333*o**2 + 404*o. Calculate -101*i(z) + 6*r(z).\nAnswer: 202*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -2*m**6\/3 - 7*m**5\/5 + 15*m**4\/4 + 7*m**3\/3 - 11*m**2\/2 + 200. Determine y so that z(y) = 0.\nAnswer: -11\/4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k - 2. Let c be m(-12). Let p = c - 21. Let z = p + 31. Put -8, z, 2 in decreasing order.\nAnswer: 2, z, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 - 1\/7*-7\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 + l**2 - 2*l**2)*(74*l + 2*l - 10*l) + 6*l**3 + 0*l**3 + 0*l**3.\nAnswer: -60*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(1\/3)\/p**(-2)*(p*p\/(p**(2\/23)\/p*p)*p)\/(p*p**(-1\/11)\/p) assuming p is positive.\nAnswer: p**(4051\/759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 267812 and 426.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 8*x**2 + x - 9. Let r be h(8). Let l = 27.963 + -28. Let o = 0.237 + l. Which is the third smallest value? (a) 1 (b) r (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232 a factor of 11136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 10, -9, -1 in decreasing order.\nAnswer: 10, -1, -9, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -1957679 and -1957679 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -167 and -67.\nAnswer: 11189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34.2 + -34. Which is the smallest value? (a) 2 (b) 1.9 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -158, -310, -480, -668, -874, -1098, -1340?\n\"Answer: -9*p**2 - 125*p - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2146482175?\nAnswer: 5, 7283, 11789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5*(-24)\/90)\/(1\/2121). List the prime factors of 4*(-4)\/((-64)\/n).\nAnswer: 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 12?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 12:29 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - z + 55 = 0, -3*u - 3*z + 55 - 10 = 0. Let r be u\/(-35) + (-2)\/(-7). Suppose 10*h - 5*h - 20 = r. Solve p - 3 = -h for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1085\/13020 + (1 - 45\/12 - -3)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*s**2 + s**2 + 11*s**2.\nAnswer: 20*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1202 - -1023?\nAnswer: 2231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3498 and 330?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17092, -17067, -17044, -17023?\nAnswer: -17004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -137901 times -0.1\nAnswer: 13790.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) -0.2 (b) 0.1 (c) 28774 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.06, 1\/2, 3, 4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o*o\/o**0*o)\/o)\/o**(-3)*(o**6)**12 assuming o is positive.\nAnswer: o**79","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1061479874 by 4.\nAnswer: 530739937\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -625 + 626. Let y be 102*s\/3*(-2)\/(-4). Solve -y = -10*r + 3 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 391343, 391344, 391345, 391346, 391347, 391348?\nAnswer: 391349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of -178*c**2 + 0*c + 0 - 1\/150*c**6 - 7\/10*c**4 - 4\/25*c**5 - 4\/3*c**3. Solve a(q) = 0 for q.\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/28 and -28\/15?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23076.\nAnswer: 2, 3, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of 4\/5*o**5 + 5 + 0*o**4 + 0*o**2 + 5*o + 0*o**3. Find the first derivative of x(k) wrt k.\nAnswer: 16*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*m**3 - 526226*m**2 + 1741084*m.\nAnswer: 12*m - 1052452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 296*k = -78*k + 114*k + 2264 - 5384 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 53240 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4373 + -3668. What is the greatest common divisor of 15 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, a: 1, t: 2, p: 1, r: 1, j: 1}. What is prob of picking 1 a, 2 j, and 1 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/2)\/(5\/35). Let h = c + 9. Solve -h*z = -0*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1588, -2313, -3038, -3763, -4488?\n\"Answer: -725*r - 863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18080 + -18112.382. Let z = -0.118 + t. What is z rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -1\/5*r**4 + 4\/5*r + 3\/5*r**2 + 4 - 2\/5*r**3. Factor m(o).\nAnswer: -2*(o - 1)*(o + 2)*(2*o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x. Let s(n) = -38756*n**2. What is f(s(o))?\nAnswer: -77512*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24109720*y**3 + 8036576*y**3 + 8036567*y**3 + 8036574*y**3.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 29*y**2 - 59*y + 157. Calculate the remainder when 208 is divided by w(-31).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -322*r**4 - 76*r**2?\nAnswer: -7728*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-6363)\/12)\/7*-4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 781 and 3866731?\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 3*s - 5. Determine y(3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = -224*c + 228*c - h, -c + 15 = -3*h. Solve -c = 5*p - 28 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 107 - 110. Let y be 4 + (i - (-2 - -1)). Solve 0 = -y*o - 3*o + 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + c**4 - 1 + (-3*c + 10*c + 26*c)*(-c**3 + 0*c + 0*c).\nAnswer: -32*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 10*x**2 - 5*x + 15. Is y(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 443 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-6) - (-6)\/(-3 + 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3745, 3751, 3763, 3787, 3829?\n\"Answer: b**3 - 3*b**2 + 8*b + 3739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 358 - -1 - (-1 - -3). Suppose 25*t + 1076 = -32*t + 3983. Calculate the highest common divisor of t and m.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 6*c**2 + 152*c + 985. Is z(-72) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1061409*l**3 - 112492*l**3 - 489928*l**3 + 1516439*l**3.\nAnswer: 1975428*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 18135 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 5*h - 17, 0*z - 28 = -2*z - 4*h. Let b be 45\/(-171)*(-2 - z\/(-5)). What is the smallest value in b, -5, 1\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-76)\/(-798))\/(200\/5775)\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-2)\/1*(-4)\/(-12)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 4*f**2 + 6*f + 1. Let j be p(-5). Let m be (-3)\/(168\/88) - (-6)\/(-14). Sort m, -5, j in ascending order.\nAnswer: -5, j, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3 + 1*sqrt(3) - ((sqrt(120)\/sqrt(10))**2 + sqrt(3)))*4.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34 (base 8) to base 2.\nAnswer: 11100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = 7*b + 200 - 260 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 6:23 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 38*a**4 + 9694*a**3 + 1020*a**2 = 0.\nAnswer: -255, -2\/19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of -f**3\/2 - 2*f**2 + 2*f. Let w(l) = -7*l - 8. Let m(z) = -5*q(z) + 2*w(z). Let p be m(0). Sort 5, 0, p in descending order.\nAnswer: 5, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k**2 + 35 - 35 - k**2.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -6\/7*b**3 + 96\/7*b - 6\/7*b**2 + 96\/7 = 0. What is b?\nAnswer: -4, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 90 = -k, c - 4*c = -5*k + 562. Let o(g) = 5*g + 3. Let n(p) = -90*p - 55. Let s(u) = k*o(u) + 6*n(u). Let b(t) = 3*t**2. What is s(b(f))?\nAnswer: 30*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 5:29 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -665 divided by 5?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pokionan. What is prob of picking 1 k and 1 i?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-0.0962.\nAnswer: -0.0481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 447480 is divided by 268?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(8\/3)\/h))\/h**(-1\/5))**(-11\/7) assuming h is positive.\nAnswer: h**(11\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5231238 is divided by 6097.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -272*z**2 + 2*z + 2. Let h(x) = -551*x**2 + 5*x + 5. Calculate -2*h(k) + 5*v(k).\nAnswer: -258*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 16) to base 7.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**2 - 146*y + 927156 + 13*y - 437*y - 929388 = 0. Calculate y.\nAnswer: -186, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3250330, 6500671, 9751012, 13001353, 16251694?\nAnswer: 19502035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 107*a - 89*a - 95*a + (-4 - a + 4)*(0 - 1 + 2) - 4*a + 0*a - 2*a to the form u + p*a and give p.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -10*r**2 - 3. Let v(m) = -7*m**2 - 2. Let o(i) = -2*u(i) + 3*v(i). Let h(g) = -g + 5. Calculate o(h(t)).\nAnswer: -t**2 + 10*t - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -802*n - 2*x = -804*n, -3*n + x - 2 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, x: 5, q: 3, l: 6}. Give prob of sequence bx.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4*o - 9. Let w be y(4). Suppose 2*c - 4*c - r + 25 = 0, 2*c = -2*r + 28. Let k = w - c. What is the nearest to -0.1 in -0.4, k, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 888186973 a multiple of 591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149 - 60 = -19*c. What is the lowest common multiple of 2 and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -414 - 96 = 3*q. Let u = q + 287. Does 9 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 12:34 PM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2\/11 (b) -1 (c) 0.4 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 - 423*i - 11788. Let v be h(-30). Solve -9\/2*f + 15\/2*f**v - 3\/2*f**3 - 27\/2 = 0 for f.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -174*s**3 + s**2 + 1. Suppose 4*m - 12*m - 16 = 0. Is i(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1400 and 80378200?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1360 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90562.13 micrograms to milligrams.\nAnswer: 90.56213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -7465?\nAnswer: -7468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31*c**3*l*q + c**3*l + 377*c**3 - 27*c**2*l*q + 2*c**2*l - c*l*q - 2*q - 7 wrt c.\nAnswer: 186*l*q + 6*l + 2262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.4761503 millilitres?\nAnswer: 0.0004761503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -o - 45, -3*o = -8*u + 3*u + 65. Let a = 27 - u. Suppose 0*b + 5*g + a = -3*b, -10 = -2*b + 2*g. What is the biggest value in 2\/5, -1\/2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 416518 and 460362.\nAnswer: 8746878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 97752 = 4*b, 0 = -3*b + 2*c + 90315 - 17016. Calculate the greatest common factor of b and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -212*r**5\/5 - 185*r**3\/3 - r**2 + 1040. Find the third derivative of n(w) wrt w.\nAnswer: -5088*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 74*m**2 - 113*m**2 - 1.\nAnswer: -39*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6480212*x**2 + 115629*x + 3 wrt x?\nAnswer: 12960424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.014162766 to 3 decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*f + 5184 = 69*f - 4451 for f.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*a + 184782 = 19*a - 13*a. Does 13 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003712 to 4 decimal places.\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 317053 and 1822081?\nAnswer: 779","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -566 - -559. Is 4 - 5\/(-5) - 3044*f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6464379?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11721 + -8216. What is the greatest common divisor of 5 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 43.75018m?\nAnswer: 4375.018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 - 154 + 13*h - 91 - 37.\nAnswer: 13*h - 319","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (68 - 13 - 20) + -39.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 12, 68, 220, 516, 1004, 1732, 2748, 4100?\n\"Answer: 8*i**3 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/(0 + 1 + 0). Let p(n) = 12*n + n - a*n. Let u(i) be the second derivative of i**4\/6 - 5*i. Calculate u(p(v)).\nAnswer: 32*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*h*t*x**2 - h*t + 733*h*x**2 - 7*t*x wrt t.\nAnswer: 4*h*x**2 - h - 7*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 7 = -o, 3*r = 5*o - 1 + 22. Let b = -1 + 3. Let g = 1 + b. Calculate the remainder when r is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 4.444 (b) 2\/19 (c) -2\/3 (d) 0.3 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5183 in -34, -12, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ddb295 (base 14) in base 7?\nAnswer: 120635345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 13) to base 7\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -13. Let k(s) = 11*s**2 + 65*s + 57. Let u be k(-1). Let l(i) = 17*i**2 - 3*i. Let t(q) = 16*q**2 - 2*q. What is f*l(w) + u*t(w)?\nAnswer: 14*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -237 + 251. Suppose 9 = 3*v, -u + 4*v - p + 7 = 0. Let j = 55 + -10. Calculate the highest common divisor of j and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -10, -5*k = 76*h - 72*h - 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of r**5\/20 - 3*r**4\/2 + 59*r**3\/6 + 39*r**2 + 169*r\/4 - 36. Factor y(n).\nAnswer: (n - 13)**2*(n + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5624352 and 6561744?\nAnswer: 39370464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.01 and -1305127?\nAnswer: 13051.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6021\/520 + 23\/104. Let m = q + -398\/35. Let n = 5 - 3. Which is the nearest to -0.1? (a) -2\/15 (b) m (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.040084 times 0.5?\nAnswer: -0.020042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -11. Let q be 23\/(-5) + 4 + d. Let n = -9 - -5. Which is the second biggest value? (a) 1 (b) n (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5\/6 (b) 0.4 (c) -3 (d) -72\/19 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 45064\/301 + 10\/(-14) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**2 - 993 - 2*r - r**3 + 408 + 586 + 238*r**4 in the form d*r**4 + o*r + p*r**3 + h*r**2 + j and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 5 (b) -1 (c) -119 (d) 1 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t + 63*t**3 - 4*t - 62*t**3 + 10 + 4*t as h + q*t**3 + c*t**2 + r*t and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1303611 is divided by 298?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-7)\/(-1))\/(870\/(-218) + 4). Suppose -c = y - 571, -5*c + 3636 = -4*y + g. What are the prime factors of c?\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 - 12*q + 52. Determine b(11).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35935245 * 4.\nAnswer: -143740980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 74.847 + 0.153. Let d = r + 38. Let p = d - 112.9999907. Round p to 6 dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.095 + 37.905. Let r = n + 64. Let y = -35 + r. What is the nearest to 0 in 4, y, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z**2 + 17*z + 12. Let h be l(6). Let d be (0 - 34\/(-4))*h. What is the greatest common factor of d and 408?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of -x**6\/15 + 3*x**3\/2 + 9*x**2. Differentiate g(w) with respect to w.\nAnswer: -24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/6*1\/14*-6.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1 + (-2 + 1 + 2)*(2 - 4 + 1) - 3 - 2 - 2)*(6 - 6 + 3*f**2)*(-7 + 2*f + 2 - 5*f).\nAnswer: 54*f**3 + 90*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, r: 3, j: 2, t: 5}. What is prob of picking 1 j and 3 y?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46675490.\nAnswer: 2, 5, 59, 79111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - 4705.\nAnswer: -4710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58206588099 - -0.11.\nAnswer: -58206588098.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5627654 is divided by 1622.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -31*f**3 + 1244*f**2 - 154*f - 70. Give p(40).\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2229, 4505, 6823, 9189, 11609, 14089, 16635, 19253?\n\"Answer: x**3 + 15*x**2 + 2224*x - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -322, -327, 158, 1355, 3486, 6773?\n\"Answer: 37*t**3 + 23*t**2 - 333*t - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 782727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvvvvvvvvvrwvvvvv. What is prob of sequence wrv?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n**3 - 15*n**4 + 16*n - 17*n + 0*n**3 + 12*n**4 - 5 + 1 as s*n**3 + a*n**2 + c*n**4 + f + w*n and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 235 and 352500.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 13) in base 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 5*k + 1 - 2*k**3 - 4*k**2 + 2*k**2 - k**2. Let s(n) = n**3 + 1. Let m(r) = s(r) + x(r). Let j(h) = 2*h + 6. Let f be j(-5). Give m(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in ten thirds of a day?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2358998 is divided by 1969.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 730205 (base 8) to base 7.\nAnswer: 2024643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32801\/17 - 5792\/3. Calculate the common denominator of h and -59\/15.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-80)\/3)\/2*-3. Suppose 2000 = -95*n + 115*n. What is the greatest common factor of n and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172056.09 months in years?\nAnswer: 14338.0075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-18)\/12)\/(6\/(-56)). Suppose -r = -h - 2*q, -20 - 5 = -5*q. Find the first derivative of 5*j**3 - 2 - h*j**3 + 3 wrt j.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.26 + 2.26. What is the nearest to -1 in y, -7\/2, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 388 = -2*r - 392, s + 4 = -r for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*a**2 + 3*a**2 + 4*a**2)*(-3*a + 4*a + a) + 35180*a**2 - 35180*a**2 - 660*a**3 to the form z*a**3 + s*a + l + c*a**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -15*u**4\/4 + u**3 + 15*u**2\/2 - 3*u - 1. Let h(k) = 7*k**3 - k**2 - 7*k + 1. Let v(q) = 4*b(q) + 9*h(q). Factor v(s).\nAnswer: 3*(s - 1)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dsss when four letters picked without replacement from sddsdddsdssdd.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 933414?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 1 + 6. Let b be (54\/(-4))\/(y\/(-8)). What is the common denominator of 3\/(b\/231) - -2 and -45\/22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of q**3\/3 + q**2\/2 - 6*q - 1. Let z(k) = -6*k - 126. Let g be z(-20). List the prime factors of d(g).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 638306 and 174722.\nAnswer: 878","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*c = -38*c + 76*c - 18. Let v = -5 - -9. Let n(j) = 0*j + 6*j - 9 - v*j. Determine n(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = z - 1, -p + 4*z = -5*p + 4. Which is the second smallest value? (a) 2 (b) 1 (c) 2\/3 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.78125 + 0.08261.\nAnswer: -2.69864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 4103*i - 1936612. Give u(472).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.9 - -10.9. Let a = 10.1 - p. Suppose -4 = -l - l. Put l, -1\/2, a in descending order.\nAnswer: l, a, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23064286 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-18)*20\/6*9\/(-8)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -21 from -8.46231.\nAnswer: 12.53769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/15 - (-62)\/5. Let u be (-3)\/(-2*1\/28). Suppose 4*d - u = 10. What is the highest common factor of d and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 571 = 565, 3*r + 2*q - 45 = 0. Solve r = -k + 4*v, 0*k + 4*k - 4*v + 16 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1423\/4 + 356. Let v = 4 - 7. What is the smallest value in k, v, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 182*v + 10 - 180*v - 5.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -8 * -15669\nAnswer: 125352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11697?\nAnswer: 3, 7, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 5. Let y = -2 - h. Sort y, 0, -5 in descending order.\nAnswer: y, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -61 - -71. Suppose -3*s - 73 + x = 0. Let i be s\/(-6) + (-2)\/4. What is the nearest to -3\/2 in i, 0.3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 61 - 53. Suppose f*k - 24 = 4*k. Let c(g) = g**2 + 1. Let z(v) = 8*v**2 - 2*v + 5. Calculate k*c(y) - z(y).\nAnswer: -2*y**2 + 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 597?\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 267 - 159. Suppose -2*f - j = -6*f. Does 9 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14502 (base 6) to base 15\nAnswer: -a62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2c (base 15) to base 14.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*p**2*u**2 + 126213*p**2 - p*u**2 + 40871*p + u**2 - u + 28 wrt p.\nAnswer: 8*u**2 + 252426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**2. Let s(g) be the first derivative of g**2 + 10. Calculate u(s(q)).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 3 = -3*h, 0 = 3*t - h - 15. Solve 0 + 10\/9*v**t + 4\/3*v**3 + 2\/9*v**5 - 8\/9*v**2 - 16\/9*v = 0 for v.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qte when three letters picked without replacement from eeqt?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (7 + -34)\/(-3) - 9. Suppose q = -60*r + 57*r, 0 = -5*f - r + 69815. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a microgram in nanograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 6*a - a - 100, -5*a + 140 = -3*w. Let v = w + 44. Is v\/6 + 26*(-1238)\/(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 192666 divided by -64222?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -87.48 - 22.7.\nAnswer: -110.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3\/2 - 423*s**2\/2 - 2619*s\/2 - 3969\/2.\nAnswer: 3*(s - 147)*(s + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1*sqrt(152))\/sqrt(8) - (sqrt(76)\/sqrt(4) + 1 - ((sqrt(19) + -1)*-3 - sqrt(19)))**2.\nAnswer: -479 + 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/3 (b) -1 (c) 2\/7 (d) 1138\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -556*p = -562*p - 48 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 7*y**2 - 5*y - 3. Let l be -5*((-42)\/10 + 3). List the prime factors of v(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 477*d**2 + 6602 wrt d.\nAnswer: 954*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 25 = 0, 12 = -4*y - 2*p + 38. Suppose y*k - 2*k = 10. Let m(c) = -c**2 + 13. What is the remainder when m(0) is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2739064934?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.488 - 2.81. Let b = 8503.978 + -8504. Let u = b - a. What is the third biggest value in u, 23, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -r**2 + 7*r - r + 9*r**2 wrt r?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2960251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.28 + -0.02. Which is the second biggest value? (a) -29 (b) -4\/5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.4 take away 1.109?\nAnswer: 9.291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.095 in -1, -0.4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 18, 18, 4, -30, -90, -182?\n\"Answer: -c**3 - c**2 + 10*c + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/4*y**4 - 3\/4*y**3 + 15\/4*y**2 - 9\/4*y + 0.\nAnswer: -3*y*(y - 1)**2*(y + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (18 - (-2 - -2)) + 1. Let v(r) = 2*r - 2. Let z be -1*(-1 - -3) - -5. Let a be v(z). Solve a*h = 4*i - 16, n = -5*h + h + 5*i for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-4)\/(-16)*2*1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 195*r + 4. Let v be a(0). What is the third smallest value in -1, 2\/11, 3, v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*x + 13*x. Let z(d) = 9*d**2 + 1. What is z(x)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*783\/(-45)*(-6)\/(-15)*25\/(-6)\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/1394498 and 75\/8.\nAnswer: 5577992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 21*z**2 - 63*z - 83. Let g be j(16). What is the highest common divisor of g and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50455 (base 9) to base 8\nAnswer: 100633","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 3 + 2 + 3 + 3 + (-1 - 1 + 3)*(-3 + 5 - 1) + 1 + 1 + 0 + 2 + 2 - 2)*(6 - 6 + s**5).\nAnswer: 9*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -185*l**3*s**6 - 279*l**3*s**4 - 135*l**3*s**2 + l**2*s**2 + 473*l*s**2 wrt s?\nAnswer: -22200*l**3*s**3 - 6696*l**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*n = -10, 0 = 5*c - 2*n - n - 25. What is the units digit of (c\/(5\/(-6)))\/(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1455166, 2910317, 4365464, 5820607, 7275746, 8730881?\nAnswer: 10186012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 7:03 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 d, and 1 w when three letters picked without replacement from lddllsw?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17193*d + 21961?\nAnswer: 17193","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612)*-1 + sqrt(612))*-5 + sqrt(612)*-1*-2)**2 - (-5*2*sqrt(612) + sqrt(612)*-1 + -2)**2.\nAnswer: -71608 - 264*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8089560 and 495?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -13. Suppose -y*q = 4*f + 2*q - 60, -q - 49 = -3*f. Is 6 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 62.8541 + -2.7116. Let h = 37.14 - j. Let v = -23 - h. Round v to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4138887024?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + (-2749)\/(-2))*2. Suppose -24*m + 26*m - 22 = 3*u, 2*u = 3*m - 23. Suppose 3*h - 665 = 3*w - a, m*w + 4*h = 3525. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -180*s**2. Let d(o) = -5*o**2 + 3*o - 6. Let b(u) = 18*u**2 - 11*u + 22. Let a(y) = 6*b(y) + 22*d(y). Give a(c(m)).\nAnswer: -64800*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 23*x - 255. Give g(-31).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 399406 by -567.\nAnswer: -57058\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*10.6460793.\nAnswer: 21.2921586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26023608?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-4)*72\/(-30)*(-70)\/(-28)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3 - 51620*k**2 + 515224*k + 7427520.\nAnswer: 4*(k - 12895)*(k - 18)*(k + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 j, and 1 h when three letters picked without replacement from {z: 1, s: 1, w: 3, j: 1, l: 1, h: 11}.\nAnswer: 11\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.71 - 0.5. Let m = y - 0.15. Round m to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 95174 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1997 + -1687. What is b rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72 and 56?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t + 70933 - 14089 = 0. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 84278?\nAnswer: -84277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i + 5. Let m(j) be the first derivative of -2*j + 3*j - 1 + 0*j. What is -6*m(q) + r(q)?\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-16)\/(-20))\/((-2)\/(-5)). Let t be 1\/w + 213\/6. Suppose -9*b + 72 = -3*b. What is the highest common factor of t and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190633643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 5 - 3 + 8*n + 7*n**2 - 51*n**3 + 50*n**3. Let w be c(7). Find the second derivative of 23*z**3 - w*z**3 - 25*z - 2*z**3 wrt z.\nAnswer: -222*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-1 - -6) - (-3 + (1 - -2))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7444, -14863, -22266, -29647, -37000?\nAnswer: -44319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*n - 10*n - 38. Suppose -7*f - 84 = -n*f. Suppose -3*k = 5*i - 142, f*i - 2*i = 4*k - 201. Round k to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 - -28. Suppose 0 = -b + 4*d - 3*d, r*d - 10 = 0. Suppose -5*p = -5*z - 20, -3*z = -p - z + 8. Solve b*s + s + 9 = p for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3858 divide 206881392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h**2 - 2*h**2 + h**2)*((2*h + h - h)*(4 - 4 + 2) - 3*h - 4*h + 6*h - 44*h - 20*h + 14*h) to l*h**2 + u*h**3 + j + v*h and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(3*sqrt(4032) + sqrt(4032) + sqrt(4032))*-4 + ((-1*(-2 + sqrt(4032)) - sqrt(4032)) + (sqrt(4032) + sqrt(4032) + 1)*6)**2)*4.\nAnswer: 9600*sqrt(7) + 1613056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 2*r + r**3 + (-r**2 - 2*r**2 + r**2)*(-5*r - 2*r + 5*r) + 0*r + 0*r + r**3 + r**3 - 9*r**3 - 5*r**3)*(43 + 19 - 145) - 2 + r**3 + 2.\nAnswer: 582*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (55\/25 - 2) + 39\/5. Is 24 a factor of (11 - -282) + m\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 978465 and 555?\nAnswer: 978465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*i + 15*i + 24*i in the form l*i + t and give l.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, z: 1, f: 1}. What is prob of picking 2 z?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + 4)\/(-1 + 2) - 5. Suppose 0 = -j*i + 3*i - 6. Solve 4*h + 2*l = 8, 4*h - i*l = -h + 19 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3606*a**2 + 66922*a?\nAnswer: 7212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-2)\/(-8)*(-9)\/(-12)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**5 + 16*j**3 - 8*j**2 - 12*j + 8.\nAnswer: -4*(j - 1)**3*(j + 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25692, -51300, -76920, -102558, -128220?\nAnswer: -153912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3493\/6 - -582. Which is the nearest to m? (a) 0 (b) 46 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 5*y**3 + 11226*y**2 + 6729*y - 4477. Let f(b) = -4*b**3 - 11224*b**2 - 6728*b + 4474. Let m(a) = 5*f(a) + 6*p(a). Determine u, given that m(u) = 0.\nAnswer: -1123, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 3*n - 55, n + 43 = 4*r + 16. Solve 3*t + 2*j - r = 0, 0*j = -4*t + 2*j + 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -3*m + 6, 5*m + g = 4*m + 2. Let r be (-444)\/(-22) - (-14)\/(-77). Suppose -u - 1 = -2*q + 4*u, 0 = q + 4*u - r. Solve -m - q = 2*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 992 divide 570400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5127058?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*v - 64 + 37 - 210 = -12 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 12 = -0*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 606.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 2943414*u + 2943412*u = -88, 2*u - 2 = 0 for p.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45 by -1.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9562, -18129, -26694, -35257, -43818, -52377, -60934?\nAnswer: -69489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbdb when four letters picked without replacement from {b: 9, d: 5}?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -756304802884211 + 756304848245671.3999997. Let f = 45361453 - y. Let u = f + 7.4. Round u to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10b2389 (base 12) to base 15\nAnswer: -438783","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (24\/(-30))\/((-1)\/5). Let n = -2 + 0. What is the third biggest value in 3\/2, n, m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*d - 60*d + 54*d)*(23*d**4 - 36*d**4 - 44*d**4).\nAnswer: -1539*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and 0.03472?\nAnswer: 1.96528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + l**2 + l - 3. Let r(t) = -15*t**3 - 6*t**2 - 10*t + 14. Give r(u) + 5*v(u).\nAnswer: -20*u**3 - u**2 - 5*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*p**6 + 3*p**6 - 5*p**6 - 8*p**2 wrt p?\nAnswer: 120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j + 90. Let n(g) = 3*g. What is n(b(y))?\nAnswer: -6*y + 270","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -11, -12\/95, 0, -2, 1\/2 in decreasing order.\nAnswer: 1\/2, 0, -12\/95, -0.4, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of i**9\/1512 - i**7\/140 - i**6\/90 - 89*i**3\/3 - 69*i**2. Let r(s) be the first derivative of m(s). What is n in r(n) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 155364 (base 8) to base 13.\nAnswer: 1c689","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2*m = 0, 0 = 5*g + 2*m - 4 + 2. Solve -4*v = 4*d - 12, g*d - 4*v + 12 = d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2913 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and (-15)\/175*-7 + (-42)\/(-5).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4289*t + 62697. Calculate z(-15).\nAnswer: -1638","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 8*h**2 - 2*h + 6. What is p(-8)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/902)\/((175\/(-25))\/77).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 19\/7 - 18\/(-63). Let g be (6 - y) + -4 - -3. Solve 4*h - 4*q = 0, -2*h - 3*q = -g*q for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 72853 - 3?\nAnswer: 72850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6303*y + 76727 + 70677 = -16474 for y.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 106169811.\nAnswer: -2\/106169811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 59 + (1 - (-14 + 11)). What is the greatest common factor of s and 357?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + z + 106. Let b be u(10). Solve b*p = 2*p + 14 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68342741 less than 68342742?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -196, -1, -30, -5, 4, -2 in decreasing order.\nAnswer: 4, -1, -2, -5, -30, -196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 2 + 4*x + 0 - 1 to the form b + v*x and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/9 + 67214*h\/9 + 67220\/3.\nAnswer: -2*(h - 33610)*(h + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*i**3 - 4*i + 0*i**3 - i**5 - 3*i**5.\nAnswer: -4*i*(i - 1)**2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 366 - 366. Let t = -4341407 - -9045361. Suppose 3*l - 6396046 - t = h. What is l rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 + 5*p - 2. Let b be r(2). Suppose 0*n - 28 = -b*n. Solve 7 = 3*z - t, 3*t + n = -5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + (4 - 0\/2 - -14). Let j be 0*(f\/6 + (0 - 3)). Which is the biggest value? (a) j (b) -3\/8 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.2 - -1?\nAnswer: -10.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, c: 4, i: 3, m: 1}. Give prob of sequence ici.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16512, -15993, -15440, -14835, -14160, -13397, -12528, -11535?\nAnswer: -10400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -127, -257, -387?\nAnswer: -517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65020?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - ((-35)\/10 + 4)*0. Solve 29 = 6*t - l for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {u: 6, k: 4}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17.589 + -0.039. Let j = z + -16. Round j to 1 decimal place.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 600*((3764 - 6) + -8). What is a rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7378 to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 5*u + 8, 4816*u = -3*g + 4841*u - 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1575 and 900?\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of 1\/240*v**6 + 1\/2*v**3 + v**2 - 1\/48*v**4 - 7\/120*v**5 + 0*v - 8 + 1\/420*v**7. Let z(p) = 0. Calculate p.\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and 6137.\nAnswer: 6137.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 13, -14, -6, 1 in descending order.\nAnswer: 13, 10, 1, -6, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d + 18*o - 70*o + 200 + 68, -3*o = d - 7 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 670.9 - 64696.5.\nAnswer: -64025.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + 23. Let s = 35 - u. Which is the nearest to s? (a) 4 (b) 0.5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -8, -144*q - 14 = -147*q - b. What is the greatest common divisor of q and 3432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**3 - 15*y**4 + 0*y + 5*y**4 - 4 - 11*y**2 - 11*y**2 + 2*y + 8*y**4 as c + z*y**2 + g*y**3 + t*y**4 + u*y and give z.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7313\/11894 + -23\/38. Is h > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1386146 to the power of 1\/3, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40194306 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -23, -237 in descending order.\nAnswer: -1, -23, -237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 5, 3, -152, 14 in descending order.\nAnswer: 14, 5, 3, -21, -152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.049, -0.5, -51 in descending order.\nAnswer: 0.049, -0.5, -5, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/30 + (-1467)\/(-135). Let n(z) = -9*z + 57. Let k be n(6). Suppose 17 = 3*f + 2*v, -2*f - o = -k*f + 2*v. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -506\/3937?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/6*1848\/(-308)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5 + (((sqrt(891) + (0 + sqrt(891) - sqrt(891)))*-6)**2 - sqrt(891)) + -2*sqrt(891)*-2 + sqrt(891).\nAnswer: 36*sqrt(11) + 32073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.12 + -11.12. Which is smaller: 3\/8 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14 - 50?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 10*n + 3 = 0, -b + 5335 = 5*n. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/5 - 1626*y**2\/5 - 440646*y\/5 - 39805022\/5.\nAnswer: -2*(y + 271)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of -s**4\/36 + 2*s**3\/27 + s**2\/18 - 2*s\/9 + 83. Factor a(x).\nAnswer: -(x - 2)*(x - 1)*(x + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3590 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - ((1 - -3) + -12). Suppose -n - y + 35 = 0. Solve -3*o - f = -n + 11, 0 = o - 2*f - 1 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 106936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 1 - 7 = 0. Suppose -3*v + 2*r + o*r + 4058 = 0, -r + 6810 = 5*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -0.2 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-5\/2)*x\/(x**(-13)*x))\/((x*x\/(x**(-13)\/x))\/(x*x**0*x)) assuming x is positive.\nAnswer: x**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 30\/9*(-36)\/13. Let s = g + 866\/91. Let o = 2 - 2. Is o != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 9*u. Suppose i + 510 = f, -3*i - 331 = -2*f + 689. Let c = -512 + f. Calculate d(c).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -382 + 1148\/3. Let v = -10.78 - 0.22. Is x smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -109 + 2*l**4 + l + 109 - 3*l**5 + (l + l - 3*l)*(4*l**4 + 3 - 3).\nAnswer: -7*l**5 + 2*l**4 + l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5773, 1, 0.\nAnswer: -5773, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -8, -14, -20, -26?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 3. Let b be 16\/(-10)*z\/24. Suppose 5*d - 4*d = -4*d. Which is bigger: d or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2. Let d = 11 + -6. Let b(n) = -5*n - d*n + 5*n. Give b(f(o)).\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/5)\/(-1) - 237006\/90. List the prime factors of (2\/(-6))\/(2\/p).\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*l)*(l**2 - 2*l**2 + 2*l**2) + 2*l**2 + l**3 - 2*l**2 - 1091*l + 2 + 513*l**3 + 504*l**3 - 1019*l**3.\nAnswer: -3*l**3 - 1091*l + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3*n - 4. Let a(w) = -2*w + 2. Let d(b) = -2*a(b) - x(b). Let h(l) = 12*l**2 + 6*l. Give d(h(p)).\nAnswer: 12*p**2 + 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*h = 146*h - 112 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 89350035 to the nearest integer?\nAnswer: 9453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -4 + -1 + (-1 + -2 - 7).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nd when two letters picked without replacement from mnnbnnmnmnmdnmnnm.\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of 205*v**3 - 3655*v - 2. Let i(w) = -6*w**2. Determine n(i(u)).\nAnswer: -7380*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11170252.\nAnswer: 2, 19, 146977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 m when three letters picked without replacement from {m: 1, a: 6, b: 7, u: 4}.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 5:49 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 3*r - 3. Let x(u) = -u - 2. What is n(k) - 2*x(k)?\nAnswer: k**2 + 5*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1368 take away 0.01?\nAnswer: 1367.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5*y = 76, 3*r + 75 = 3*y - 9. Let x(z) = z. Let g be x(-1). Let d be (-56)\/r - g\/4. Put -3, d, 4 in decreasing order.\nAnswer: 4, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134*o**2 + 56*o**2 + 624*o**2 - 124*o**2 + 60*o**2 + 76*o**2.\nAnswer: 558*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (6*-2*sqrt(1053) - (-1 + sqrt(1053))*-2))*-3.\nAnswer: 6 + 270*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5774*i**2 + 13702*i**2 + 73933*i**2.\nAnswer: 93409*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-6))\/((-196)\/2352)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4178 + -54316\/13. Suppose -3*g - 9 = 4*o, 3*g - o - 2 = 4. Which is the nearest to 0.6? (a) z (b) g (c) -1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.1 and 0.22.\nAnswer: 0.242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - ((-1428)\/(-48) + -16)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of i**7\/315 - i**6\/45 + i**5\/18 - i**4\/18 + 2*i**2. Factor v(y).\nAnswer: 2*y*(y - 2)*(y - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4796 + 4828. Which is smaller: -3\/5 or z?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and (-16)\/(-6) + (-22)\/33.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/119 and 89\/6808704?\nAnswer: 6808704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -500 (b) -5 (c) -0.2 (d) -3 (e) 3 (f) -1050\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (4 + -30 + 18) - 14 - -87\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -54 in ascending order.\nAnswer: -54, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**3 - 5*m**2 - 5*m. Suppose -t - 30 = -6*t. Let g(b) = -b**3 + 3*b**2 + 3*b. Determine t*p(z) + 10*g(z).\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 86508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) - ((-4*sqrt(114) - sqrt(114) - sqrt(114)) + sqrt(114) + sqrt(114)) - sqrt(114))*3 + (sqrt(114)*2*6 - sqrt(114)))\/(4*sqrt(120)\/sqrt(5)*2).\nAnswer: 23*sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, v: 7}. Give prob of picking 3 v.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 28 + (5 - -13 - 29)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6632 - -9439. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 1 + 1)*(-1 + 0 - 1) + (-4*y + y + 1 + 1)*(75 + 20 - 4).\nAnswer: -271*y + 182","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t + 448. Let g(l) = 17*l**2. Determine k(g(w)).\nAnswer: -17*w**2 + 448","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-60472)\/(-112) + 4\/56. Calculate the highest common factor of m and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lxlxxxxllxlxxxlxxx. What is prob of sequence lll?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - ((11 - (15 - 0) - 127) + (-11 - -9)).\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.03686 bigger than 0.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -7, -2\/3, 34, 33\/4 in increasing order.\nAnswer: -7, -2\/3, 2\/13, 33\/4, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -57947*k**4*x + 2*k**3*x - 4*k**2 + 1958*k*x + 43*k + 17*x wrt k.\nAnswer: -695364*k**2*x + 12*k*x - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-1)*10\/100*10\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.216 - 4.216. Let k be -2 + (1 - 22\/14). Are o and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*d + 32 - 8 + 1 = 0. Sort -0.5, -0.1, 1\/9, d.\nAnswer: -0.5, -0.1, 1\/9, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1814*p**3 + 3350*p wrt p?\nAnswer: -10884*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*h**4 - 113*h**2 - 17368 with respect to h.\nAnswer: 48*h**3 - 226*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/50590 and 21\/87338576.\nAnswer: 436692880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kooooooooooooooooo. What is prob of picking 3 o?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 11:55 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 2:25 PM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2255844 divided by -2255844\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1870080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - 16*d**2 - 62*d + 8. Calculate c(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u + u**3 - u + 5*u**2 - 97*u**2.\nAnswer: u**3 - 92*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (0 + (-4 - (5 - 3))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 4*t**3 + 4*t**2 + 6*t + 5. Let u(j) = -j**3 - j**2 - j - 1. Suppose 3*m = 5*m + 2. What is m*q(i) - 6*u(i)?\nAnswer: 2*i**3 + 2*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 23*u - 6. Let c be r(7). Let q = c - 100. What is the least common multiple of 5 and (q\/(-25))\/((-1)\/5)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3941919 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a litre in millilitres?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50))**2 + -4 + sqrt(648) + sqrt(18) + -3.\nAnswer: 21*sqrt(2) + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 531*j + 2*j**2 - 534*j + 3.\nAnswer: 2*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -477150, -1908622, -4294416, -7634538, -11928994, -17177790, -23380932?\n\"Answer: -b**3 - 477155*b**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40 - -61. Let d be (-36818)\/(-82) - (1 - (-2 + -1)). Let b = d - 423. Which is greater: b or l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (14 - -5) + -6 - 6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 470\/20*(-2)\/(-1). Suppose -5*l + r = -4*b - 0*l, 0 = -3*b - 2*l - 18. Is b smaller than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 - -1)*5\/(-4). Suppose -5*o + 3 = -3*f + 32, o = -4*f + 8. Find the second derivative of 5*c - 3*c + 3*c**3 + w*c**f - c**3 wrt c.\nAnswer: 42*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 105*x**2 - x - 4. Give t(-1).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37.76 + 41.9. What is z rounded to one dp?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 27*(-13)\/(39\/(-6)). What is the highest common divisor of 258 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in months?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -68, 4\/9, 0, 0.4 in increasing order.\nAnswer: -68, 0, 0.4, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7936.3 - 17789.84.\nAnswer: -9853.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 827 is divided by (3 + (-21)\/9)\/(10\/690)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 7. Let a(n) be the first derivative of -n**3\/3 - 2*n**2 + 3*n + 43. Let i be a(0). What is the biggest value in -6, i, g?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 97 - 90. Let i(b) = -b + 12. Let g be i(l). Suppose -y - 4515 + 1166 = -f, -g*f - 4*y = -16781. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -425695 - -2044.\nAnswer: -423651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -66873 or -66818?\nAnswer: -66818","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (-2)\/32 + (-4335882)\/(-1184)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 122*u**2 - 251*u**2 + 121*u**2. Let b(r) = -r + 2 - 2. What is b(q(c))?\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11 - 4dc?\nAnswer: -4ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -385*((-7562)\/190 - -40)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5418361509?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -400.7 + 401. Let f(o) = -8*o + 68. Let r be f(9). Let p be (3\/(-8))\/((-27)\/(-12)). Which is the nearest to p? (a) x (b) -0.3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 47, 102, 157, 212, 267, 322?\n\"Answer: 55*z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7576.\nAnswer: 2, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-4 + sqrt(175))*-4 - (-4*sqrt(175))**2*-5) + 5)*-2 + 3)*-4.\nAnswer: -160*sqrt(7) + 112156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12412372 and 30058.\nAnswer: 1582","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 89*p**2 + 21 - 7*p - 24 + 22*p + 128*p**2 wrt p?\nAnswer: 434","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 - 23. Suppose 4*q - 6*r = -3*r + 61, b = 4*q + 2*r - 46. Suppose -4*a + 15 = -185. What is the remainder when a is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (66\/110)\/(((-2)\/(-5))\/1)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of 10*m**3\/3 - 113*m**2\/2 + 37*m. Differentiate b(o) wrt o.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-3\/4)*o)\/o*o)\/o)**(-36)*o**(1\/7)\/(o*o**(-3\/10)\/o) assuming o is positive.\nAnswer: o**(1921\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 251627 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -741 divided by -3.\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05752 minus -26569205518?\nAnswer: 26569205517.94248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbf when three letters picked without replacement from {d: 1, b: 2, r: 11, f: 1, s: 4}?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 + 1. Let i(q) = 20*q**3 + 4*q**2 - q - 3. Let z(m) = i(m) + 3*u(m). What is the remainder when z(1) is divided by (0 - -3)\/(36\/132)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*sqrt(85) + sqrt(85) - sqrt(85))\/((sqrt(180) - (sqrt(180) + sqrt(180) + (sqrt(180)*3 - sqrt(180)) + sqrt(180) + sqrt(180))) + sqrt(180)).\nAnswer: -sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 (base 16) in base 6?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10940461?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 10*r - 10. What is the units digit of h(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-210)*105*-1*4\/(-10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*o**3 - 27*o**2 - 14*o**3 + 17*o**2 + 23*o**3.\nAnswer: 31*o**3 - 10*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3114816 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bqibpvmppbm. Give prob of sequence iqpv.\nAnswer: 1\/2640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3827, -7650, -11473, -15296, -19119, -22942?\nAnswer: -26765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 10124 = 4186. Let l = -14231\/6 - u. Find the common denominator of l and 79\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 72\/39 - 14\/(-91). Suppose -4*h - h = -u*y + 3353, 3*y + h - 5004 = 0. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1606120888 to the nearest integer?\nAnswer: 1171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from oroo.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14.2 + -14. Suppose -c = 4*c + 390. Let s = 236\/3 + c. What is the nearest to s in -3\/5, d, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 1068 = -v. Let b be v\/18 - (-2)\/(-12). Let k = b - -27. What is the remainder when 35 is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-825)\/(-770)*1050\/125?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6559860.\nAnswer: 2, 3, 5, 109331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b*y**3 + 579*b + 41*y**3 - y**2 wrt y.\nAnswer: 6*b + 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**4 - 115*h**3 - 900*h**2 - 2960*h - 3520.\nAnswer: -5*(h + 4)**3*(h + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/29, -2\/11, -3, 0.5, -58949 in ascending order.\nAnswer: -58949, -3, -2\/11, 2\/29, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m + 50*m**2 - 5*m + 4*m + 2*m.\nAnswer: 50*m**2 - 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2740)\/(-7398)*6*2\/(-10)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*2\/(-2)*-1. Let v = 102 - 104.92. Let y = 3 + v. Which is the biggest value? (a) y (b) p (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 + 6. Let n = 12 + u. Let r(a) = -5*a - 11. What is the units digit of r(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*1*(-8)\/(-96)*-4*-6.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(60)\/(-3*sqrt(216)))\/(6*((-2*sqrt(72) - sqrt(72)) + sqrt(72))))**2.\nAnswer: 5\/559872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Is 46999 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 150, -1, 7, 145, 2, -31 in descending order.\nAnswer: 150, 145, 7, 2, -1, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (135 - 135 + 4*q)*(0 - 2 + 1) - 122*q - 33*q - 65*q + 5*q + 0*q - 2*q + 4*q as t*q + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 84229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -16 + 16 + l. Let g(t) = -3*t. What is k(g(m))?\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/(-21)*(-5 - (19 + -17)). Suppose -289 = -0*t - t. Sort t, q, 1.\nAnswer: q, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36309822.\nAnswer: 2, 3, 79, 76603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/17326 and 29\/2893442.\nAnswer: 2893442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 3*f - 25 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 302028799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 9 + 22 = -45. What is the greatest common divisor of r and 82?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)*-2*-1)\/sqrt(10)*3.\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 3*g**4\/2 - 1766787*g**3\/2 + 3533541*g**2\/2 + 12367455*g\/2 + 3533562 = 0.\nAnswer: -1, 4, 588927","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 7 - 19 = 0. Let g be l\/(-22) + (-3)\/((-33)\/64). Suppose -3*t = -g*t + 186. What are the prime factors of t?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 - 84*m**2 - 262*m + 65. Calculate f(87).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -21952 divided by -21952\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + 221\/26)*24 - (-96)\/(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.017969921 rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (11\/3 + -4)*-2073 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8768?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l - 3. Let d be u(6). Suppose -16 = -d*x - x. Suppose x = q - 4. Solve -4*z = 4*c - q, -3*c + z - 11 = -7*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -26 + 5?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n + 0 + 0)*(-2*n + 4*n - n)*(4 - 1 - 14) + n**2 + 4*n**2 - 3*n**2 to the form v*n**2 + m + l*n and give v.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4*c + 52 = -2*c, -5*y + 72 = -c. Find the first derivative of -24 + 70 - 18*a**4 - y - 20 wrt a.\nAnswer: -72*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqqqqqqqqfq. Give prob of sequence qf.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4009121351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2716 and 3458?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -3*s**5\/10 - s**4\/4 + s**2\/2 - 2*s. Suppose -m + 4 = -2*m + 2*t, m + 4*t - 2 = 0. Is q(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*l + 4*q + 32, 4*q = -l - 11. What is the smallest common multiple of l and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*r**5 + 51*r**4 - 2690*r**2 wrt r?\nAnswer: 1020*r**2 + 1224*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1752 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4\/6*-3 - -20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6406806831 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/6 and -55\/918?\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 14*c + 60. Let o be d(-4). Let t = 5 - 4. What is the closest to -1\/2 in o, t, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21800371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12115636 by -11.\nAnswer: 12115636\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 divided by 24173.\nAnswer: 1\/1051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2032 + 26418\/13. Let u be -2 + 1\/9*22. What is the smallest value in 1\/4, u, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.2, -0.5, 2.479 in increasing order.\nAnswer: -0.5, -0.2, 0, 2.479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 458*h**5 + 2*h**4*w + h**2 - 2358*h*w wrt h.\nAnswer: 27480*h**2 + 48*h*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -658913 - 633*s - 32*s + 658913.\nAnswer: -665*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.09 and 23672403.\nAnswer: -2130516.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {a: 1, y: 4, b: 3, f: 4, g: 3, l: 2}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -336 divided by -12?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1631940096?\nAnswer: 2, 3, 19, 199, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -991 by 4.\nAnswer: -991\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182619*y**3\/4 + 129*y**2\/2 = 0. Calculate y.\nAnswer: 0, 86\/60873","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 496*s - 4844. Calculate v(10).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(931) - ((sqrt(931) - (sqrt(931)*6 - sqrt(931))) + 4)).\nAnswer: -6 + 35*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*g + 10 = 3*f, 3*g = 6. Which is bigger: f or 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-8))\/(481\/52)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-97*o**3 + 5425*o - 5425*o)*(-2*o + o - o + (1 - 3 + 3)*(-3*o + o + o)) to the form a*o**4 + r*o**2 + f + z*o + c*o**3 and give a.\nAnswer: 291","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 3*a + 32. Let j(k) = -24*k - 255. Let p(s) = 4*j(s) + 33*m(s). What is the lowest common multiple of 7 - (3 - 6 - -3) and p(-10)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 - 19 - 3 + 18 - 25 + 77*x.\nAnswer: 77*x - 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*i + 1 - 1)*(-2*i**2 + 2*i**2 + 11*i**2 + (3 - 3 + 1)*(-2*i**2 + 5*i**2 - 2*i**2)) + (-2 + 1 + 2)*(2*i**3 + 2*i**3 - 2*i**3).\nAnswer: -82*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b**2 + 4*b - 3. Let a be n(2). Let s = 11 + a. Solve -5*l - 1 - s = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13784715?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.712 - 77.442191.\nAnswer: -81.154191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 14582369 to the power of 1\/4, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 20 = 3*q - 23, -2*q + 28 = 246*j - 243*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38*((-360)\/18)\/40?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 704 and 418904?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 - ((7 - 31) + -15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 5:01 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10646670 divided by -3670.\nAnswer: -2901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2 (b) 5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39430\/25337 or 2?\nAnswer: 39430\/25337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-154*h**3 + 75*h**3 + 683*h**2 + 80*h**3)*(-5 - 1 + 1)*(3 - 2 + 0).\nAnswer: -5*h**3 - 3415*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 247 = 7*k - 4*h, -153 = 3*k - 4*h. Let p = k - -72. Solve l + 0*a - 4*a + 20 = 0, -5*a + p = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.41838 - -0.91611. Let u = -30.51927 - f. Let w = -30 - u. Round w to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*m + 21373 = 0, 3*f - 4*m - 48445 - 15674 = 0. Let v = 1325067\/62 - f. What is the common denominator of 29\/16 and v?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 925 + -227.7.\nAnswer: 697.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8732?\nAnswer: 2, 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4221 (base 6) to base 14\nAnswer: 4bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 1131?\nAnswer: -1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-234)\/(-74)) - 294\/(-294).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -7*n**2. Let i(x) be the first derivative of 0*x + 3\/2*x**2 + 47. What is p(i(w))?\nAnswer: -63*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1230\/(-1968) + 19\/(-8) + 2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10614*b**5 - b**2 - 3*b - 765 wrt b.\nAnswer: -636840*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 147*o**2 + 14*o + 38. Let g(c) = c**2 - 55. Let u be g(-8). Is k(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qcc when three letters picked without replacement from {p: 1, c: 3, n: 1, f: 1, h: 1, q: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2611919, -5223838, -7835757, -10447676, -13059595, -15671514?\n\"Answer: -2611919*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirty-seven fifths of a hour?\nAnswer: 26640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -3. Suppose -a*x + 6 = -x. What is the remainder when 14 is divided by 2 - 1\/(x\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -262955, -2?\nAnswer: -262955","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (3 + (-180)\/(-52))\/(70642\/41743)\nAnswer: 42\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 544207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -5*k**2 + 5*k + 4. Let c(y) = 2*y**2 - 3*y - 2. Suppose 0 = -19*d - 3 - 54. Calculate d*t(f) - 5*c(f).\nAnswer: 5*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*3*sqrt(420))\/sqrt(12))\/(sqrt(55)\/(sqrt(11) - (-1*sqrt(891) - sqrt(891) - sqrt(11)))).\nAnswer: -240*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -440 rounded to the nearest 10?\nAnswer: -440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = c, 14*s - 13*s = -2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 27\/45 - 18\/80. What is the smallest value in m, -0.08, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 61*k**2 - k + 2. Let z(r) = -r**3 + r + 1. Let a be z(0). Is n(a) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4653493987 to the power of 1\/2, to the nearest integer?\nAnswer: 68217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 800*z + 28512 = 169*z - 161*z for z.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + n - 21 = 0, 4*n + 5 + 7 = 0. Let r = 37 + v. Calculate the remainder when r is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -0 - 4. Suppose t = -c*l - 0*t + 1336, 993 = 3*l + 3*t. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-352)\/(-36) - 10 - 3\/((-81)\/222). Solve 1704 = a*g + 1752 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/965 or 65?\nAnswer: 2\/965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 4 = 3*z. Suppose 0 = -z*b + 4*b + 6. Suppose -b*t + 99 = -18. Solve 14 = 5*i + t for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r**2. Let i be p(-1). Let s(z) be the first derivative of -z**4\/4 + 2*z**3\/3 + 3*z**2\/2 + 4*z + 1. What is the units digit of s(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l - 297. Let y(o) = 105. What is -4*g(t) - 11*y(t)?\nAnswer: -12*t + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 s when three letters picked without replacement from ovkvjrsvsvoj.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + 8 + -9 - (4 - -20)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 10. Is -2*(3729\/9)\/(2\/f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -300322 (base 4) to base 3\nAnswer: -11021221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 443352989 is divided by 446.\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1*(sqrt(204)*-1 + sqrt(204))*-2)\/(sqrt(108)*-1 - sqrt(432)*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5571.8 times -4?\nAnswer: 22287.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 4*g**2 - g + 4. Let x be h(-4). Suppose 3*d - x = d. Let s = -50 - -53. Is d not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 127 and 121792492.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 10*h**5\/11 - 694*h**4\/11 + 2256*h**3\/11 - 752*h**2\/11 - 2656*h\/11 + 96 = 0.\nAnswer: -1, 2\/5, 2, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4*x + 10796, -3*k - 8119 = 3*x + k. Let n = 28397\/10 + x. Let v = 139 - n. Which is bigger: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**2 + d + 1. Let s = -59 + 46. Let m(t) = -3*t - 43. Let x be m(s). Is 13 a factor of l(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -2. Suppose 0 = 2*b + v + t*v - 14, -4*b = 4*v - 32. What is the smallest common multiple of b and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 2. Suppose -3*i - 2*t + 295 = w, -204 = -i - i - 5*t. Does 17 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1990 - -7093. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/3*2\/45)\/((-44)\/(-22)).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14891 and 0.2?\nAnswer: 2978.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*i**5 + 11*i**5 - 24*i**5 + 0*i + 2*i**5 + 0*i + (4*i**5 - 4*i**5 + 2*i**5)*(-2 - 2 + 2) - 4*i**5 - 3*i**5 + 6*i**5 - 2*i**5 - i**5 + i**5.\nAnswer: -8*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1614460 and 99680.\nAnswer: 1780","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m**3 - 9*m**3 + 20*m**3 - 9*m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/16 and 1\/512890?\nAnswer: 4103120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -190\/7, 66, 2\/7?\nAnswer: -190\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 6:21 PM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/63*-42)\/(-2)*-12*72\/(-42).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 453248, -0.4.\nAnswer: -0.4, 3, 453248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.076 and -1268.\nAnswer: -1267.924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 5*u. Let d(k) = 4*k. Suppose 8*b - 4*b - 24 = 0. Let a(v) = b*d(v) - 5*g(v). Let h(t) = 2*t. Give a(h(r)).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 28886*w - 462200. What is x(16)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1\/8 - (-739514)\/(-1513424)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + v + 90720, -14*s - 3*v = -19*s + 151196. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 572, 2055, 4518, 7961?\nAnswer: 12384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1, -39, 1.4 in decreasing order.\nAnswer: 1.4, 0.2, -1, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.743 - 2.343. Let k = -0.4 + 0.5. Let i be 4\/(-3)*4\/(-24). What is the nearest to -0.1 in k, i, o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 223528630 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rq when two letters picked without replacement from hehrqe.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 2 (c) 25 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1163962 divided by 4\nAnswer: -581981\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 205534.11 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0431464*0.17.\nAnswer: 0.007334888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4469 is divided by 1472.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 2*n = -5*b - 1740, -4378 = -5*b - 2*n. Suppose 0 = -5*t - 234 + b. Calculate the lowest common multiple of 4 and t.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 366139 - k**3 - 183069 - 183070.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 12.455643 nanoseconds?\nAnswer: 0.00000000020759405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, b: 1, i: 1}. Give prob of picking 1 i and 1 b.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*w**2 - 3*w**3 - 74*w**2.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1915618 = 500*l - 1907118 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 232 + -1620\/7. Let p = -0.1 + 0.01. What is the fourth smallest value in -0.4, y, p, 0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1655684 is divided by 4029?\nAnswer: 3794","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 4:56 AM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -8*o + 17 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2504\/15 - 502\/3. Let y = 159.29 - 159. What is the closest to x in y, 0.1, 1\/6, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -820.662744 rounded to the nearest 10?\nAnswer: -820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 81 = -5*o, 2*o - 6 = 3*y - 8*y. Let a = 174 - 83. What is the greatest common factor of o and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52 + -2 - (116 + -110 - (2 - -13))\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - m**4 - 1 - 5*m**4 + m**4 + 2*m**4 + (-3*m + 2*m - m)*(9*m**3 + 10*m**3 + 0*m**3) + (-2*m + 2*m + 2*m**2)*(5*m**2 - m**2 - 2*m**2).\nAnswer: -37*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -243082 take away 2?\nAnswer: -243084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -y**4\/8 - 87*y**3\/4 + 1467*y**2\/2 - 6345*y + 16524 = 0.\nAnswer: -204, 6, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2709, -5479, -8245, -11001, -13741, -16459, -19149, -21805?\n\"Answer: v**3 - 4*v**2 - 2765*v + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(63)\/sqrt(28) - sqrt(9)) + sqrt(36)*3)\/(sqrt(30)\/((sqrt(640) - 1*sqrt(640)) + sqrt(640) + sqrt(640) - sqrt(640))*-4).\nAnswer: -44*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/7 - 8284*a\/7 + 91366\/7.\nAnswer: -2*(a - 11)*(a + 4153)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k**3 + 7*k**2 - 7*k - 7. Let a(g) = -2 - 32*g**2 + 4*g**3 - 2*g - 3*g**3 - 34*g**2 + 95*g**2 - 27*g**2. What is -7*a(v) + 2*d(v)?\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.4 + -4.4. Let o be 282\/(-15) + -1 + (-3)\/15. Let d be ((-12)\/o)\/((-4)\/(-5)). Put -0.13, d, h in decreasing order.\nAnswer: d, -0.13, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, q: 2}. What is prob of sequence rqq?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 5, 2, -76.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -5*u - 36138, 0 = -4*p - u + 17405 + 30733. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/7)\/(1182\/(-1379))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1*6*(sqrt(18)\/sqrt(9) + 3) - (2 + -1*sqrt(2)*3 + (sqrt(2) - sqrt(162)*-2)))**2.\nAnswer: -320*sqrt(2) + 457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*2\/4 + (12 - 10). Do -1 and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 56\/19*k**2 - 36\/19 - 14\/19*k - 20\/19*k**4 + 2\/19*k**5 + 12\/19*k**3 = 0?\nAnswer: -1, 1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13148*d**2 - 25971*d**2 - 46601*d**2 + 11796*d**2 - 33923*d**2.\nAnswer: -107847*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -4, 4, 455 in ascending order.\nAnswer: -10, -4, 4, 455","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(3\/25))\/f**(17\/5))**47 assuming f is positive.\nAnswer: f**(-2961\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -477122\/7 + 68040. Let h be 6\/((-78)\/40 - -2). Let u = h + y. Sort u, -0.5, -2 in increasing order.\nAnswer: -2, -0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a6 (base 14) to base 2\nAnswer: -10010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of b**4\/12 + b**3 - b**2\/2 - 5*b. Let w be l(-5). Calculate the common denominator of 97\/w*2\/2 and -53\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*n = -4*m + 624, -5*m - 5*m - n = -11*m + 19 - 3 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 0 + sqrt(5))*-2.\nAnswer: -2*sqrt(5) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*t + 36*t - 225 = -m + 65*t, -4*t = -184 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30*(-3906)\/(-2100) - 56.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4747*l**3 + 2*l**2 + 3*l - 14 wrt l?\nAnswer: 28482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-42)*(-4)\/((-36)\/(-7)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + -25 + (25 - -8).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-90)\/35 + -2 + 1 + 4\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282 is divided by 242?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 6)*(3*z**3 + 10*z**3 - 6*z**3) to the form u*z**2 + s + w*z**3 + h*z and give w.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -13221120 divided by 7512\nAnswer: -1760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -50?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208) + 4 - sqrt(13)) + 5*-2*sqrt(13) + sqrt(13) + (-2*sqrt(13) + 2 - sqrt(104)\/(sqrt(32)\/sqrt(4))))**2*4.\nAnswer: -432*sqrt(13) + 4356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 1) + (2 + (21 - 30) - -20)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*w - 2 - w**3 - 3*w**2 + 26*w in the form x*w**2 + a*w + b + f*w**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 s when two letters picked without replacement from jjkrserksrrrrs.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 130530276 and 500116?\nAnswer: 130530276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 466, 892, 1568, 2470, 3574?\nAnswer: 4856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17386 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y - 12 = -0*y. Is ((-34)\/y)\/(6\/246) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22050213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33814.\nAnswer: 2, 11, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -89 - -140. Suppose 0*y + 2*y = p + 55, 2*y = -4*p + 80. Let g = z - y. Is g a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*f - 5*f - f)*(2*f + 2 - 2) - 31*f**2 + 15*f**2 - 72 + 17*f**2 to the form j*f + w + o*f**2 and give w.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4*b + 796 = 6*b, 5*k + 1333 = -3*b. Let j = -61 - k. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*f - 4600 = 3477. Round f to 0 decimal places.\nAnswer: -197","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160101 to the power of 1\/2, to the nearest integer?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 162542 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -373689, -373691, -373693?\n\"Answer: -2*j - 373687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 + 12 = 3*h. Let j = -5 - h. Determine t, given that 4\/5*t**2 + 0 + j*t**3 - 4\/5*t**4 - 2\/5*t**5 + 2\/5*t = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13762\/5 + 2740. Calculate the common denominator of -71\/9 and d.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8206952600 rounded to the nearest one million?\nAnswer: -8207000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6, n: 6}. Give prob of picking 2 n and 2 k.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49027*r**3 - 24514*r**3 + 11*r - 11*r - 24516*r**3.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.99089 and 3.\nAnswer: 4.99089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0202469 to 5 decimal places.\nAnswer: -0.02025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mfhfq. What is prob of picking 1 f and 1 m?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 96753 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1005 times 0.4\nAnswer: -402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9455\/6 - 1588. What is the common denominator of v and -47\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {l: 3, j: 4, b: 2, r: 1, u: 1}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/263 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 364.9 times -6.2\nAnswer: -2262.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 18 = -2*f, -f = -125*c - f - 3*f + 366 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 6*l**2 - 5*l + 13. Let m(k) = 3*k**3 + 19*k**2 - 16*k + 40. Let r(u) = -7*h(u) + 2*m(u). Let q be r(-5). Does q = -2.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7413 = 10*g - 47557. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -226347 by -3.\nAnswer: 75449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 19632709 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8924.966722 - -8925. Round f to 4 dps.\nAnswer: 0.0333","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21.83 + 24. Let v = -102.17 + b. Let l = v + 100.00067. Round l to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1989 + -1398. What are the prime factors of a?\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -n**4\/2 + 157*n**3 - 117*n**2 - 235*n - 2398. Factor f(y).\nAnswer: -(y - 235)*(y - 1)*(2*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 2*j**2 + 4*j - 3. Suppose 5*l + 15 = 5*h, -2*h = l + 4*l + 22. Let a be q(l). Let m = a - 11. What is m rounded to zero dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13425658 + -1?\nAnswer: 13425657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.7 + 6. Let z = 7 + -3. What is the nearest to 0.2 in z, d, 3\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 8722*a**2 - 11*a - 25. Let t be w(-4). Let n = -77418 + t. Suppose -3*s - n = -16*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -62507 (base 9) to base 14.\nAnswer: -11056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -857*g + 37887 = 2133*g - 1163 - 113440 for g.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5304 divided by 2?\nAnswer: -2652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184477*l - 7 - 12 + 30 - 184516*l - 11.\nAnswer: -39*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 - 5*l - 4. Let h be a(-3). Suppose o - 3 = 3*f, 3*o + 1 = -h*f - 1. Let v = -2 + o. Let n(d) = d - 1. Calculate n(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1245*t + 19 + 86*t - 15 - 4.\nAnswer: 1331*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-5 - ((-6 - -7) + -3)) + 6)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/14 + 104\/(-84)*-3. Let z(a) = -5*a - 2. Calculate z(j).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 60, 175, 388, 729, 1228, 1915, 2820?\nAnswer: 3973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2738161, 4, -11 in descending order.\nAnswer: 2738161, 4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 190687?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 6, 4, 8226 in decreasing order.\nAnswer: 8226, 6, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -258 + 262. Suppose d*j - 2*a - 342 = 0, 3*j + 3*a + 106 = 358. Is 5 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*b - 48886 = -47862 for b.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175313908?\nAnswer: 2, 7, 11, 569201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(6*(sqrt(1900)*2 - sqrt(1900)) + -5*-2*sqrt(1900)) - -4*(3 + sqrt(1900)*1 + 4)) + -1)**2.\nAnswer: -41040*sqrt(19) + 10975129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d = -18*d - 84 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 10) in base 16?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-1))\/(903\/(-14)*16\/(-24)).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, 4, 9, -5, 14 in decreasing order.\nAnswer: 33, 14, 9, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2677\/170 - -470\/17. What is the common denominator of -67\/21 and f?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y + y + 3*y + 5.\nAnswer: -2*y + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 8 = 2*h, 4*h + 4*l + 10 = h. Solve 4*n + 3*w = h, -n - 3*w = -5 - 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - -14) + (-3 + 2 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85207, -85243, -85311, -85417, -85567, -85767, -86023?\nAnswer: -86341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + h + 67320 = 0, -4*h = -2*h. Let o be (-3)\/(-15) + a\/30. Suppose 11*w = 2088 - o. What are the prime factors of w?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120210 (base 3) in base 13?\nAnswer: -26a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 74562*a - 75499*a + 37480 for a.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22122201111 - 1100?\nAnswer: -22122202211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 4*b + 8 = 0, 5*b = 8*h - 12*h + 530 - 551 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 210547 and 122537.\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2614.05845 to 1 dp.\nAnswer: -2614.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 16\/7 of a week?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1436628 divided by -718314\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) - 4*sqrt(70))*2 - -2*sqrt(70)*-3)\/(((-2*sqrt(110) + sqrt(110))*-4 + sqrt(110) - sqrt(110))\/(sqrt(55)\/sqrt(5)*-6)).\nAnswer: 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**5\/13 + 26082*h**4\/13 - 85436730*h**3\/13 + 2624312150*h**2\/13 - 2538901500*h\/13 = 0.\nAnswer: 0, 1, 30, 6505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 43.83445 milliseconds?\nAnswer: 0.04383445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -153.97 + 150.97. Which is the nearest to 2? (a) -1047 (b) u (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 687*z**2 - 34171*z + 30. What is j(-54)?\nAnswer: -564","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1813075076.\nAnswer: 2, 19, 23856251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of -b**6\/30 + 6*b**2. Let h be w(1). Let k be 1\/(h + 5)*-2. Let f(g) = 5*g + 3. Give f(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3 - 32*b**2 + 220*b.\nAnswer: b*(b - 22)*(b - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -834965500 rounded to the nearest 1000000?\nAnswer: -835000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -1225.\nAnswer: -122.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 525650 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n + 11. Let l be i(0). Let p(a) = 6*a - 25 + 7*a**2 + 11 + l + 7 + a**3. Give p(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -83103 - -720?\nAnswer: -82383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 328.4393 millilitres to litres.\nAnswer: 0.3284393","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*l**3 - 111*l**3 - 777*l**3 - 134*l**3.\nAnswer: -891*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 9*s - 10*s + 3*s. Let u(g) = 3*g. Give u(a(l)).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 - 11 + 4*m)*(m**2 - 1 + 1)*(3*m + m - 3*m + (1 + 4 - 6)*(-6*m + m + 3*m)) as y*m + v + j*m**3 + p*m**2 + o*m**4 and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 1757?\nAnswer: 1757","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(36)\/sqrt(3) - 1*sqrt(75)*4.\nAnswer: -18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 4, -6 in decreasing order.\nAnswer: 24, 4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 20*s + 42. Let o be i(-19). Suppose -2*b - b - 5*y = -47, -y - o = -3*b. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 6:57 AM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 22db?\nAnswer: 22d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1668852193?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) - 3*sqrt(153)*2)\/(sqrt(9) + -5*sqrt(45)\/sqrt(5)).\nAnswer: 5*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 95576?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10766 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 3*j + 2*j + 13, -3*k - 9 = j. Let u = 47 + -44. Let f be 3 + -6 + u + 2. Put k, f, 3 in ascending order.\nAnswer: k, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 165\/(-27) - ((-35)\/28)\/(49\/196).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/17 in -5, 0.4, 1398\/55, 5\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((v\/v**1)\/v*v)\/v)\/v)**(-7\/3))**(-17) assuming v is positive.\nAnswer: v**(-238\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 556?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 133 by 7.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-14) - 190\/(-133). What is the nearest to t in -1\/96, 1\/2, 2\/9, -3\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2851542523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -41*f + 4*f + 92*f + 26*f. Let b(j) = -2*j. Calculate o(b(l)).\nAnswer: -162*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*i + 35 = -17*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, x: 8, i: 3}. What is prob of picking 1 x and 1 p?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1947 = 1115*a + 48228 for a.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2022?\nAnswer: 2, 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 143813569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 5*j**2 - j. Let r = 7 + -12. What is c(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (2*sqrt(684)*-1)**2)*4 - (6*(sqrt(684) + 2) - (((sqrt(684) + 2)*-4 - sqrt(684)) + sqrt(684)))**2.\nAnswer: -57848 - 2400*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of -5*i**4\/24 + i**3\/2 + 16*i**2. Let o be h(-2). Let c be (-16)\/(-104) + (-3408)\/o. What is c rounded to the nearest 10?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.952708 rounded to one decimal place?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1820)\/(-468))\/(-35))\/((-8)\/30)*3?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (t + 2*t - t)*(849 + 3888 + 5972 - 1910) as f*t + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.033438008 rounded to four dps?\nAnswer: -0.0334","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*q = -41*q + 6. Let l be (-10)\/(-6) + -2 + q + 2. Which is the fourth biggest value? (a) -1\/9 (b) -4 (c) l (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 5*v**2 - 1185*v + 67450 = 0.\nAnswer: 95, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 631761 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -4*z + 19 - 63, -5*z - 4*i - 19 - 23 = 0 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5 + 2)\/(3 + -4). Let y(u) = -7*u - 10. Let s(g) = -g. Let i(n) = -6*s(n) + y(n). Determine i(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 82*k = -80*k + 74, -4728*b + 94 = -4725*b + 4*k - 2*k for b.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 is divided by 140\/12 - (-4)\/12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + 3*s + 6. Let z be k(-6). Suppose 0*j - 113 = -4*j + l, 2*j - l = 55. Suppose -j*x + 645 = -z*x. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84471333?\nAnswer: 3, 37, 761003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 7*n - 5. Let j be t(7). Let r be (-5 - j)*(-2)\/(-4). Suppose 185 = 5*y - r*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4932)\/(-324) - (1 + 63\/(-81))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 110*r**3 + 593*r**2.\nAnswer: 660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -21, -8, 5, 18?\n\"Answer: 13*o - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276 is divided by 36?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86 divided by 43.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 62*y - 218. Let j be w(6). What is the derivative of v - 15*v - 21*v + j - 25*v - 23*v wrt v?\nAnswer: -83","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5101706.\nAnswer: 2, 2550853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0100724 rounded to three dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053) + 3*-2*sqrt(1053))*3 + (5*(sqrt(78) + (2*sqrt(78) + sqrt(78) - sqrt(78))))\/(sqrt(18)\/sqrt(48)))**2.\nAnswer: 73125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -4062 smaller than -4064?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18677?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + j + j + j - 4*j + 2*j + (0*j + 2*j + 0*j)*(-2 - 2 + 5) - 3*j + 6*j - j)*(-21028*j**2 - 13074 - 9175*j**2 + 13074).\nAnswer: -151015*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 107 + -102. Let q(i) be the third derivative of i**5\/60 - i**4\/24 - 5*i**3\/6 - 6*i**2 - 5*i. Calculate q(y).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 126726615?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 35*u**2 + u + 5. Let z(f) = 106*f**2 + 4*f + 14. Let s(h) = -17*a(h) + 6*z(h). Is s(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -100\/63*s**3 + 0*s + 1\/63*s**6 + 10\/7*s**4 - 70 - 4\/15*s**5 - 125\/21*s**2. Solve f(i) = 0 for i.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 67*h**3 - h**2.\nAnswer: h**2*(67*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 36875\nAnswer: 36875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n**4 + 5873*n**2 + 47093*n wrt n.\nAnswer: -12*n**2 + 11746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o. Let u be (-6)\/(-24) + (-3)\/12. Let j(x) = u + 0*x - 7*x + 1 - 4. Give -5*i(p) - j(p).\nAnswer: 2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 300\/31691 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k - 1. Let r(x) = -3*x + 58. Let v(f) = 3*q(f) - r(f). Let j be v(10). Which is the fourth smallest value? (a) 4 (b) 6\/11 (c) -0.1 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 83\/1457, -1\/6, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 8:47 PM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 918 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: Calculate (814\/(-259))\/(33\/126)*(-41)\/(-4).\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 29 - 79 = 6*n for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 277 divide 2397048585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12057807?\nAnswer: 3, 571, 7039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 418 is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 8, 5, 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 346762?\nAnswer: -346762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-3\/4))\/r)\/r**(-5)*(r**(-2\/3))**47)\/(r\/(r\/(r*r**(-8)))*r\/r**(-2))**(-41) assuming r is positive.\nAnswer: r**(-2293\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 3:24 AM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -6*v**4 + 3*v**2 - 5*v. Let i(a) = 7*a**4 - 2*a**2 + 4*a. Let y(g) = 2*f(g) + 3*i(g). What is the second derivative of y(b) wrt b?\nAnswer: 108*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -1150?\nAnswer: 1146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -87 - -87. Solve s = 60*y - 61*y - 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-36)\/2*1\/(1 + -4). Let u be (3\/2)\/(3\/v + 0). Solve 0 = -2*t + 4, -u*m + 2*t - 14 = -2*t for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + 4*n - 1. Let c be r(-5). Let t = 28 - 23. Suppose -3*u + 29 = 5*b, -5*b + 10*b - 5*u - t = 0. Solve 4*d + 12 = 4*s, c*s = -b*d - 5 - 23 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647070.5 years in centuries?\nAnswer: 6470.705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -0.1, 0, 1\/6, 8623?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7013 - 1626. Is 5387 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7578551 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -4 (b) 134 (c) -7 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23673048, 23673046, 23673044, 23673042?\nAnswer: 23673040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.2, -3345\/587, -2\/7 in descending order.\nAnswer: 0.2, -2\/7, -2, -3345\/587","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -5*o + 25, -8 = -22*z + 18*z + 2*o for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(99) + sqrt(99))*1 + (-3*(sqrt(99) - (sqrt(99) + 1*sqrt(99))) - sqrt(99)))\/(sqrt(9) + (-1*sqrt(9) - sqrt(9))*5 - sqrt(81)*-2).\nAnswer: -5*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c = 9*c - 3. Let k(t) = t**2 - t - 1. Let g be k(c). Let z(l) = l**2 + 1. Let d(y) = -40*y**2 - 30. What is g*d(o) + 30*z(o)?\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 4*d - 24, -5*d - 12 = 2*j - 0*d. Let h be 12*((-2)\/j + 0). Solve 5*z + h = 14 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -8, -10, -4, 16, 56, 122?\nAnswer: 220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40 + 44. Suppose 91*w - 12449 = -218*w + 4855. What is the highest common factor of w and l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39782*d + 126190*d - 1161364*d.\nAnswer: -1074956*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -593 + 585.38. Let n = g - -0.62. Suppose -i = -5 + 1. Which is the third smallest value? (a) n (b) 3\/5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (8 - 3) - 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 11?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29032?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 2*s**2 - 220*s - 611. Give i(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -2\/5, -5, 261, 18.4, -4 in descending order.\nAnswer: 261, 18.4, 0.1, -2\/5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5204266 and 8.\nAnswer: 20817064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d*d\/(d\/(d*d**(2\/7))*d))\/d*d))\/(d\/d**(-3))*d\/(d*(d\/(d\/d**4))\/d)*d**(-2))**(-12) assuming d is positive.\nAnswer: d**(780\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (13 + (-265)\/20)\/((-10)\/(-32)). Let f = -81 + 728\/9. Sort f, 1, 2\/21, h in ascending order.\nAnswer: h, f, 2\/21, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of 444*u**7\/7 - 895*u**3\/3 + 1449. What is the third derivative of c(w) wrt w?\nAnswer: 53280*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 140 and 12.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137629854.\nAnswer: 2, 3, 503, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*f + 16*f + 41*f - 152*f.\nAnswer: -200*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 8.869494 milligrams?\nAnswer: 0.008869494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-76532)\/(-159))\/(2 + (-10)\/6)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6301388 rounded to 2 decimal places?\nAnswer: -0.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/5? (a) 1\/2 (b) -73 (c) 4 (d) 0.3 (e) 27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2074740 divided by 4\nAnswer: 518685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one tenth of a day?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -215 (base 6) to base 2.\nAnswer: -1010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5617590.\nAnswer: 2, 3, 5, 11, 29, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -262819, 5\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 129 - -47. Let a(l) = -l**3 - 8*l**2 + 17*l - 19. Let w be a(-10). What is the highest common factor of w and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/49)\/(g*g**40)*g**(-1\/7)\/g*g**28)**(-18) assuming g is positive.\nAnswer: g**(12492\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -9*l**2 + 420*l + 5309. Determine b(-12).\nAnswer: -1027","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) - (-5 + sqrt(2299) + 0))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 142, 391, 878, 1693, 2926, 4667, 7006?\nAnswer: 10033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 2. Let n = -40\/3 + 13. Let c = 10450.8 + -10441.8. Sort n, c, b in decreasing order.\nAnswer: c, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*k + 8. Suppose -k*z - 4*i = -15, -3*z + 10 - 1 = -2*i. Solve 5*l + z = -2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = v. Let l(w) = -w**2 + 82. Suppose 0 = -80*f + 91*f - 308. Calculate the remainder when l(v) is divided by f.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15124928 divided by 212.\nAnswer: -71344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -18.0562 * 664\nAnswer: -11989.3168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*u**2 - 78*u + 78*u in the form q + f*u + z*u**2 and give z.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -4*k + 0*k + 3*k. Let d = 3 + 9. Let a(c) = -12*c + 27*c - d*c. What is g(a(u))?\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8041, 16071, 24095, 32113, 40125, 48131?\n\"Answer: -3*z**2 + 8039*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**2. Let r(d) = -634*d**2 + 11222*d + 16. Give r(b(k)).\nAnswer: -2536*k**4 + 22444*k**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -6. Let u be x\/(0 - 3\/3). Solve -u = a + 1 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 238\/(-87) + (-20)\/(-290)\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -26*v**6\/3 + 10*v**3 + 24. What is the third derivative of y(h) wrt h?\nAnswer: -3120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -11, 333.\nAnswer: -11, -0.4, 333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 1317664?\nAnswer: -131765b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -45\/2*x - 39 + 25\/2*x**2 - 5\/6*x**3. Suppose b(a) = 0. What is a?\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 759860059?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1801 + 182 - 7562 = 657*d + 674 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d**2*v**3*y**3 - 4*d**2*v**3*y - 18*d**2*y**3 + 2093*d*v**3*y**2 + 2*v**3*y**2 + 121*y**3 wrt y.\nAnswer: -6*d**2*v**3 - 108*d**2 + 726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9*((6 - 3) + -2). What is the smallest common multiple of 22 and 6\/a*2*15?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49368675 by -4713.\nAnswer: 10475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 185243490.999913 - 185243626. Let g = z - -135. Round g to 5 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, z: 12}. Give prob of picking 2 q.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -328.4706828 to 2 decimal places.\nAnswer: -328.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/233 (b) 5 (c) 58.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 + 15. Let p = -0.02 + 2.02. Let f = 4 - p. Which is the third smallest value? (a) h (b) f (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 7*q - 40. Let y = q + -14. Suppose c = -3*u + 41, -4*u - c = -y*c - 61. Calculate the remainder when u is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h - 3. Let a(x) = x + 1. Let p be a(1). Let i(y) = 1. Give p*n(u) + 6*i(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/9)\/(l*l**(2\/9))*((l**(1\/4)\/l*l*l)\/l)**(3\/16))**(2\/15) assuming l is positive.\nAnswer: l**(-61\/480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of w**5\/10 - w**2. Let f(d) = 7*d**2. Let j(u) = 5*a(u) - 4*f(u). Let n(g) = -3*g**2 + 3*g**2 + 2*g**2. Determine n(j(z)).\nAnswer: 8*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*n**4\/9 + 773429*n**3\/9 + 4625809*n**2\/3 + 12658963*n\/9 - 445094\/9 = 0. What is n?\nAnswer: -13091, -17, -1, 2\/59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 702084*k**3*v**3 + k**3 + 376340*k**2*v**3 + 2*v**3 wrt k?\nAnswer: 4212504*v**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 202691400 rounded to the nearest one million?\nAnswer: 203000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d + 2. Let b(y) be the third derivative of y**6\/720 - y**5\/120 - 5*y**4\/12 - y**2. Let g(m) be the second derivative of b(m). Give c(l) + 3*g(l).\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26116*i - 983840 = 11724*i for i.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 58323150 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 480799 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n + 220*n**3 - 149 + 294 - 143 as o + p*n + r*n**2 + h*n**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -3, 799, 463 in descending order.\nAnswer: 799, 463, 6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8655 and 2885?\nAnswer: 8655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*u - 34*u = -4. Suppose 2*x + 2*h - 18 = -x, 0 = h + 3. Let k = x + u. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7a76 (base 15) to base 13\nAnswer: ba9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.61988ms in hours?\nAnswer: 0.0000137833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**2 + 21*r + 702 = 0.\nAnswer: -18, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -9*h**4\/2 + 411*h**3\/2 - 2954*h**2 + 13862*h - 20184 = 0.\nAnswer: 3, 4, 58\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-384*x**2 - 146 + 15 + 382*x**2)*(x - x - 2*x**2 + (6547 + 95*x - 6547)*(2*x + 0 + 0)).\nAnswer: -376*x**4 - 24628*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62767 is divided by 471.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278*v + 67264 - 9746 = 1319*v - 7959 for v.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4884)\/660)\/(18\/(-30)).\nAnswer: 37\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.51 + -0.51. Let f = -21 + 22. Which is the nearest to f? (a) g (b) 5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(20\/(-8)))\/(-5)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4697 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 432*o**2 + 961*o**2 + 4*o - 334*o**2.\nAnswer: 195*o**2 + 4*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49 + 163. Let n be r\/3 + 2\/1. What is the highest common divisor of n and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07 * 1894.\nAnswer: 132.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a millisecond in nanoseconds?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -24 < 54519?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - p + 0*p)*(75*p - 160*p + 42*p)*(2*p + p - p).\nAnswer: 172*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -51*c - 3. Calculate w(-1).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 18. Let a = -16 - k. Let p = -6 + 6.1. What is the third smallest value in a, 0, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 525153.2 years?\nAnswer: 6301838.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -75*l**3 + 7*l**2 - 7*l + 7. Let c(v) = -50*v**3 + 5*v**2 - 5*v + 5. Determine 7*c(z) - 5*t(z).\nAnswer: 25*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*a + 80*a - v = 0, -4*a = -v - 7 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooooccoowobobo. Give prob of sequence bboo.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6720 and 301?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3, -1, -28422353, 1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-5)*5\/(-2). Let m = 23 - 47\/2. What is the closest to m in 4, k, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19381314 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 5 + 0)*(-4 + 4 + 1) - 15 - 12 + 19)*(g + 2*g + 6*g)*(3*g**2 + g**2 - 2*g**2).\nAnswer: -126*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7, -75, -159, -245, -333?\n\"Answer: -g**2 - 79*g + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -103, 3 in descending order.\nAnswer: 3, 1, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 37*b + 17. Let v(i) = 21*i + 10. Let h(d) = 5*v(d) - 3*w(d). Suppose -3 = 5*q + 2. Determine h(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -1) + 5 - 7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 17. Let z = -10 + w. Put 4, 0.2, z in descending order.\nAnswer: 4, 0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13738614 rounded to 4 decimal places?\nAnswer: -0.1374","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11a5 (base 16) to base 14.\nAnswer: -1909","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-204)\/(-46886)*(-2)\/6. Which is the nearest to y? (a) 1\/2 (b) -3\/5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -530 - 26275*q**3 - 532 + 1062 + 26274*q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1226 + 1174.95. Let h = r + 51. Suppose -t - 1 = -5*s - 2, t + 3*s = -7. Which is the closest to 2? (a) 1 (b) h (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(5) + 0)*5)**2 - ((sqrt(20) - ((sqrt(20)*2)**2 - sqrt(20))) + 2) - (6*4*(5 + -2 + sqrt(500)))**2.\nAnswer: -292980 - 34574*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1500.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 141 (b) -129 (c) 1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1380104137.\nAnswer: 1380104137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-five quarters of a day in minutes?\nAnswer: 30600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 0.3, 1\/8, 4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 8*v**2 - 7*v + 1. Let l(c) = 7*c**2 - 6*c + 1. Let s(d) = 7*l(d) - 6*u(d). Let h = -2 - -3. Let n = -1 + h. Determine s(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-104*s**2 - 124*s**2 - 367*s**2 + 140*s**2)*(0*s**2 - 3*s**2 + 0*s**2) to the form j + i*s**2 + f*s**4 + m*s + a*s**3 and give f.\nAnswer: 1365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -7.7995, 10\/3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -21 + 4 + 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -9*r**3 + 2*r**2 - 1. Calculate y(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -184 and 1.9?\nAnswer: -349.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of 0*w**4 + 191\/6*w**3 + 0*w**5 + 1\/210*w**7 + 0*w + 0 + 0*w**6 - 15*w**2. What is the derivative of y(k) wrt k?\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -171f - -4?\nAnswer: -171b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 761 a factor of 8972295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Convert 603 (base 12) to base 10.\nAnswer: 867","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*d - 30*d - 51 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003046 rounded to four decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0*(9 - (-144)\/(-18)). What is the nearest to j in -4, -1\/2, -2, 0.17?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 7*b - 3*b)*(2 - 3 + 3) + 1 + 2*b - 1 + 4*b + b - 3*b + 5 - 2 - 2*b + 1 - 8*b + 2 - 2 + (-1 - 2 + 1)*(0*b + b - 2*b) - 2*b - 5*b + 3*b.\nAnswer: -4*b + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - l + 802, -l - 3*l = 4*u + 1580. Let d = u + 403. What is the remainder when 39 is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2 + 80*v + 6900.\nAnswer: -5*(v - 46)*(v + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/7, -0.08, 96.\nAnswer: -0.08, 6\/7, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 792*f*p**3 - 1922*f*p**2 wrt p?\nAnswer: 4752*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11\/10 + -27\/20. Let n = -1743.7 + 1744. Let z = 8 + -5. Which is the closest to p? (a) n (b) z (c) 6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*w**2 - 94407*w - 2302158?\nAnswer: -4*w - 94407","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (5 - 13 - -12) - (15 - -1)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jqc when three letters picked without replacement from jjmwwwqwcmjw.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sr when two letters picked without replacement from {p: 2, o: 1, s: 7, b: 3, r: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - 3 - (-24 - 17576\/(-429)).\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 - 25.21. Let q = -18.21 - o. Let h = q - -17.99999982. What is h rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-153))\/(24\/144).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 938 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**3 - 5*h**3 + 3*h**3 + (-5*h**2 + 4*h**2 + 4*h**2)*(0 + 0 - 8*h))*(24 - 70 - 41).\nAnswer: 2175*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 4*p**3 - 3*p**3 + 3*p + 3*p + 4 + 5*p**2 - 2*p. What is the units digit of n(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 q, and 1 l when three letters picked without replacement from rqrrlrrkklrrkkrr.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*c + 1. Let u be -3*(-16)\/(-36)*c. Solve 0 = -x - u*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 9:04 PM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -287 + 317. Calculate the greatest common factor of t and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) + -4)**2 + -4 + -4*((sqrt(63)*6)**2 + sqrt(7)).\nAnswer: -8717 - 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 9 - 6 = 0. Let l(u) = 5*u**2 + 3*u**3 + 1384 - 1386 + 39*u - 22*u - 20*u - 7*u**2. Let g(t) = -6*t**3 + 4*t**2 + 7*t + 5. Give a*g(h) + 7*l(h).\nAnswer: 3*h**3 - 2*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -647*z - 9. Let v(a) = -a**2 - 3*a + 3. Let x be v(2). Let s be h(x). Suppose 5*i = -3*g + s, 3*i = 3*g - 0*g + 2736. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 5*y + y**2 + 0*y - 3*y + 1 + 2*y. Let h be m(-3). Let p(t) = t**2 + 2*t. Let c be p(h). Which is smaller: c or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n + 1. Let v(t) be the third derivative of -t**4\/6 + t**3\/3 + t**2. Let d(i) = -2*s(i) + v(i). Let g(c) = -26*c. Calculate d(g(j)).\nAnswer: 52*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -19090 divided by 17?\nAnswer: -19090\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7 + 6 + 20*f - 16*f**5 + 1 wrt f?\nAnswer: -320*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 106494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1715 + 178 + 2\/(-1) is divided by 73?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10667487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, w: 2, r: 1}. What is prob of sequence vrv?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2. Let n(t) = 6. Let x(l) = l + 182. Let y(u) = 6*n(u) - x(u). Determine y(m(h)).\nAnswer: h**2 - 146","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 20864492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-155)\/30 - -6 - 6.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10312 is divided by 463.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12096 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 20 = 5*v, 2*v = -2*x - 9 + 1 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4*k + 6 = 0. Suppose -4*z + 3*z - 3*s = -2, 3*z + k*s = 12. Solve -4*b = 3 + z for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of 36*o + 4\/3*o**3 + 12*o**2 + 282. Solve p(l) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -177\/4 + 44. Which is the third smallest value? (a) 5 (b) q (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of s**5\/60 + s**4\/24 + 4*s**3\/3 - 236*s**2 + 3*s. Give l(6).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 765*h + 398*h - 7882 + 97 - 55017 = 0 for h.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + b. Let p be g(-4). Let a = -294 - 7. Let i = a - -311. Which is greater: p or i?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -841.15 + 880. Let p = 88 - 127. Let s = p + w. Round s to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of y**8\/56 + y**4\/3 - 2*y - 2. Let c(x) be the first derivative of v(x). What is the third derivative of c(g) wrt g?\nAnswer: 120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 264 and 953864?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 4*u = 9*u + 35, 0 = -u - 6 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 140 and 2828?\nAnswer: 14140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 47078263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 5*s = -13, -3*n - 13*s + 15*s = 12 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a minute in seconds?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 3*o - 51, 0 = 5*o + 18*x - 16*x - 100. Calculate the remainder when 189 is divided by o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(42)*-2)\/(sqrt(36)\/sqrt(6)*1).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3\/7 + 30*x**2\/7 + 87*x\/7 + 60\/7.\nAnswer: 3*(x + 1)*(x + 4)*(x + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/(-4) + 250\/20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 5*c + 25, -2*c + c = -5*x - 22. Let k be ((-9)\/3 - x) + 4. Calculate the highest common factor of k and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 5 = -3*v, 2*y = -4*v + 3*v + 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -39*z. Let y(h) = -114*h + 26. Let u(r) = -3*p(r) + y(r). Give u(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of 5*m - 15 + 1\/2*m**2. Let r be (5 - 4)\/(1\/5). Give a(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-220)\/77)\/(4\/(-14)). Solve 0*w - 5*c + 26 = -2*w, c = 2*w + r for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -4*y**2 - 9. Let a(f) be the third derivative of f**8\/6720 - 7*f**5\/5 - 4*f**2. Let d(u) be the third derivative of a(u). What is v(d(h))?\nAnswer: -36*h**4 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 10:29 PM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -96446 (base 16) to base 12\nAnswer: -258232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6538*p + 15602*p + 11197*p + 6482*p - 1551094 = 0 for p.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1023600115 + 0?\nAnswer: -1023600115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6 - -0.7. Let y = f - -0.9. Which is the smallest value? (a) y (b) 1\/6 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -278 less than 1?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 119 (base 10) in base 7?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 8) to base 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 5*o**2 + 2*o - 2. Let w be x(5). Suppose 3*n - w = s, 2*s + 7 = 3*n - 3. Let u(k) = -2*k**2 + k. Calculate u(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -2, -186, 402, 5.\nAnswer: -186, -5, -3, -2, 5, 402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 829424751.\nAnswer: 3, 276474917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*a**3 + 11 - 11)*(-67 - 10 - 94)*(-2*a - 4 + 4) as f*a + v*a**2 + j*a**4 + t + p*a**3 and give j.\nAnswer: -1026","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -2132511?\nAnswer: -2132514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 0.0285\nAnswer: 0.0057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u**3 + 4*u. Let b be (-3)\/(((-9)\/2)\/3). Let t(w) = -12*w**3 - 7*w**3 + 3*w**3 - 10*w - 29*w + 18*w. Determine b*t(d) + 11*z(d).\nAnswer: d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4 - 6 = 0. Suppose -3 = 3*t - 9. Let r(q) = 3*q**t - 2 - q**3 + 0*q**3 - q**2 + 0*q**2. Calculate r(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2110*b = 2109*b. Solve -2*o - 11 + 1 = b for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/(-5625)*15*(1 - -94) + 12*1?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-556)\/(-10)*(-161)\/27048 and -141\/140.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/215 in -3\/4, 2, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of 5*n**6\/12 + 20*n**5 + 195*n**4 - 4400*n**3\/3 + 2420*n**2 - 2967. Factor u(p).\nAnswer: 5*p*(p - 2)**2*(p + 22)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 0.5, 2\/5, 5.332?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-15)\/(-30))\/((-5)\/(-460)). Calculate the highest common divisor of m and 3841.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55218 is divided by 2508?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.02 - 0.02. Let w be 1*-3*21\/(-189). Put 2\/3, w, p in descending order.\nAnswer: p, 2\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 747*q - 33628 + 33628 in the form u*q + d and give u.\nAnswer: 747","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -253.576 and -93.5.\nAnswer: -347.076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3736 and 13323043.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2496637 minus 4?\nAnswer: -2496641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.91 less than -74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00213417027 to 5 decimal places.\nAnswer: 0.00213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.823 - 7.823. Let n be (-4)\/(-14)*3\/2. Which is the biggest value? (a) 0.04 (b) n (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 i when two letters picked without replacement from nsnihnnnninipdinnnpn.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22156454.\nAnswer: 2, 269, 41183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -30 in 13, 280.3, 23, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 10*a - 57. Let n be w(5). What is the highest common divisor of 342 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4*(-1*sqrt(200))**2*-3 + -4 + -4).\nAnswer: -9568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12625 divided by 5.\nAnswer: 2525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -939614, -939431, -939126, -938699, -938150, -937479, -936686?\n\"Answer: 61*p**2 - 939675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fvdf when four letters picked without replacement from fdedddededfv?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-31*a - 2*a**3 + 1 + 31*a)*(-4*a + 5*a - 3*a) to q*a + r*a**4 + y*a**2 + j + u*a**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5221 - -5233. Calculate the greatest common factor of f and 7536.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) 0.1 (c) -0.29 (d) -2\/9 (e) -421\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (16 + 8)\/4 + -6. Solve -2*x - 2 = -r for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -315 = -4*x + 637. Let f = x + -467\/2. Let i = f - 5. Which is bigger: 0 or i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -n**5 + 14*n**4 + 542*n**2*x - 867*n*x + n - 9*x wrt n?\nAnswer: -20*n**3 + 168*n**2 + 1084*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/13)*m)\/(m\/m**(-8\/7))*m**(1\/8)\/m*m**(-6) assuming m is positive.\nAnswer: m**(-5781\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**2 + 2*u**2 - 31148 + 31148 + 23056*u - 22071*u.\nAnswer: -2*u**2 + 985*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 80 = -2*u, 5*u - 17 = -3*l + 199. What is the smallest common multiple of u and 364?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 3:17 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1304 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-711)\/(-158))\/((-6)\/(-8)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + 74*o**2 - 297*o - 420. What is m(5)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 660949943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -2*n**4 + 282*n**3 + 58032*n**2 + 2037320*n = 0?\nAnswer: -62, 0, 265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 8, j: 1, p: 9, l: 2}. What is prob of picking 1 l and 2 p?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-314)\/7065)\/((-4)\/(-138)) and 97\/1014.\nAnswer: 5070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 9*x**3 + 6*x**2 + 5*x + 3. Let h(s) = 7*s**3 + 6*s**2 + 3*s + 3. Let o(l) = 4*f(l) - 5*h(l). Calculate o(6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 6*n - 28, 4*x = n + 22 - 5. Put 14, 4, n in descending order.\nAnswer: 14, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of 89*h**6\/3 - h**2 - 29*h + 8. Find the second derivative of y(g) wrt g.\nAnswer: 3560*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from {x: 6, b: 2}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 39677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 1 = 0, 2*k - 5 = -q - k. Suppose 5*v + 0*f + q*f - 159 = 0, -3*f + 37 = v. Let b = 89 - v. Is b a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-13640)\/(-15)*18\/12.\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - 56 - -29) + (-7 + 4 - -9).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**2\/2 - 11*k\/2 = 0.\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13773 divided by 1.\nAnswer: 13773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8754.\nAnswer: 2, 3, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9, -2\/15, -6, 3, 2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y + 7 + 1 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(((-555)\/120 - -4)*1)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*t - 32 = -26 + 43. Let c = -2 + -2. Sort 11, t, 4, c.\nAnswer: c, t, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -30*a**2 + 4*a - 4. Let s(x) = -59*x**2 + 9*x - 9. Determine -4*s(p) + 9*t(p).\nAnswer: -34*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 PM and 6:11 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/4 = -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4794 and 351.\nAnswer: 560898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 52348447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 3:46 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 2:15 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + (sqrt(1573) - (sqrt(1573) + -2 + sqrt(1573)))**2 + sqrt(13) + -1*sqrt(1872).\nAnswer: -54*sqrt(13) + 1577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1010111100000000 (base 2) to base 10\nAnswer: -44800","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 110*b**5 - 4*b**4*h**2 + b**2*h**2 - 1054*h**2 wrt b?\nAnswer: 6600*b**2 - 96*b*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 365817*a**2 - a + 76531?\nAnswer: 731634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3344337 and 0.11.\nAnswer: 367877.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 8*x**2 + 2. Let w be a(-8). Let z(b) = 2*b - 5. Let o be z(5). Suppose -w*n + 55 = 3*n - o*u, 4 = 4*u. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -460 (base 7) in base 10?\nAnswer: -238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 83\/189 + -8\/27. Let f = -0.1 - -0.1. Let u be 36\/(-28) - 4\/(-14). What is the third biggest value in u, f, n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 11*g = 370. Let l(v) = v**2 + 36*v - 30. Let p be l(g). Solve 3*s + 27 = -5*i, -3*i + 2 = -s + p for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 - -1211?\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 0 - 1)*(4*g + g - 4*g) - 4*g + 4*g + 2*g)*((0*g - 2*g + 3*g)*(-2*g**2 + 3*g**2 - 3*g**2) + 1 - 1 + g**3).\nAnswer: -3*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 2:54 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/109031 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 4*a**2 - 2*a - 2. Let n(s) = -40*s**3. Let i be n(-1). Let b = 35 - i. Determine q(b).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6534 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3 + 30)*88\/12?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61658597?\nAnswer: 7, 11, 13, 31, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**2*n**3 - 121163*f**2 + 2*f*n**3 - f*n**2 + n**2 - 2416*n wrt f.\nAnswer: -2*n**3 - 242326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5678 - -6153. Calculate the highest common factor of 25 and r.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -5*o + 12*o. Suppose -4*s + 23 = k, 0 = 3*k - s - 2*s + 6. Suppose -k*c + 14 = -4. Put c, o, -1 in increasing order.\nAnswer: o, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -7374\/223585 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a century in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2414, 2412, 2408, 2402, 2394?\nAnswer: 2384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**3 + 3213*i**2 + 29136*i + 25920 = 0 for i.\nAnswer: -8, -1, 1080","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 93 = 7*r, 115*q = -4*r + 119*q - 48 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 j when two letters picked without replacement from {i: 1, p: 1, r: 1, s: 1, j: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13.4 + -13. Suppose -2*c - f = -8, 0*f = -2*c + 2*f - 4. Let t be (c\/66)\/(23\/(-69)). What is the third biggest value in t, 1\/3, w, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q + 16. Let j(i) = -i + 16. Calculate 7*h(p) - 6*j(p).\nAnswer: -p + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*q - 7*q = 96 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 892149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide (-116)\/(-16) + (-3)\/(-4) - -3936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + 35*o + 104. What is m(38)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 3:24 AM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by 975.\nAnswer: -14\/975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 712054771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/60 + 99254\/311220. Let j = -4\/819 + i. Find the common denominator of -63\/2 and j.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -305*a + 0*n + n - 39 = -310*a, 609 = 100*a + n for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 123 and 12587?\nAnswer: 37761","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13.02677 + -13.807. Let d = 83.91423 + o. Let s = d + -83. Round s to 2 dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 287725?\nAnswer: 5, 17, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4438559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 8 - 20 = 0. Suppose 42 + r = -5*f. List the prime factors of (2 + 1)\/(f\/(-39)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43113 (base 5) to base 12.\nAnswer: -1824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of 5*z**3\/6 + 5*z. Let n(r) be the third derivative of -r**5\/30 + r**2. What is n(x(c))?\nAnswer: -50*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 4*d**2 + 2*d - 3. Let c be v(4). Let x(b) = -b + 16. Suppose 2*m = -3 + 27. Let t be x(m). Solve n = -c*l + 8, 0 = -3*l - t*n - 4 + 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -338a348?\nAnswer: 338a349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 5 + 60. What is the remainder when 25 is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 8:19 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -3*u**3 - 5010*u**2 - 2096676*u - 4173336 = 0.\nAnswer: -834, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-8)\/672*(18\/4 + -1).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 8, v: 7, x: 4, m: 1}. What is prob of sequence vm?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + -19 + (17 - -19).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007439 rounded to five decimal places?\nAnswer: -0.00074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1396894 rounded to four decimal places?\nAnswer: 0.1397","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000012136 to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 65*s**2 - 155*s - 420 = 0.\nAnswer: -21\/13, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/36*-6*(-4)\/26. Let a(v) = -v + 5. Let g(j) = -5*j**3 + j**2 + j. Let y be g(-1). Let p be a(y). What is the third biggest value in -3\/8, p, k?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, f: 2, s: 1}. What is prob of sequence ss?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sqss when four letters picked without replacement from {s: 3, q: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219*u + 18*u = 3792 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -7809 * 0.0335\nAnswer: -261.6015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -23, -50, -89, -140?\nAnswer: -203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/286000 and -93\/11000.\nAnswer: 286000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2743?\nAnswer: 13, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) -0.577 (c) 0.3 (d) 273\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/((-27)\/(-12)) - 4. Suppose 2*k - 5 - 7 = w. Suppose -1 = 2*m + 3*q + k, 0 = 2*m - 2*q - 18. Solve -j = -m*s - 15, 4*s = -4*j - 11 - 9 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**3 + 6*f**2 - 8*f - 8. Let y(c) = c**2 - c - 1. Let u(w) = 3*q(w) - 24*y(w). What is the third derivative of u(k) wrt k?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 3*z - 3, -4*d - 4*z + 184 = 0. Suppose 24 = -39*b + d*b. Sort b, 12, -3, 3.\nAnswer: -3, 3, b, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 1, -3 in increasing order.\nAnswer: -3, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -195*w - 410. What is f(-2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (((-520)\/16)\/5 - -5)*-2. Solve -u - 4*h - 11 = 0, x*u + 5*h = 9*h + 31 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.203 - -0.103. Let z = 15 - 11. Suppose 7 = -z*a - 1. Does k = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/5778573?\nAnswer: -2\/5778573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -32*v - 1519. Suppose -n = -2*x + 84, 2*n = 2*x - 134 - 42. Let i = -50 - n. Calculate the remainder when i is divided by u(-48).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*y - 43*y = -3*c + 37045, 0 = -y + c + 18510. What are the prime factors of y?\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k + 11. Let f be q(9). Let g = f - -19. Suppose 4*w - 3*w = g. What are the prime factors of w?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 0 - 2. Let s = -116 + 116.1. What is the smallest value in -7, -10, s, i?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43 - 23. Suppose -f = 4*f - b. Suppose -f*u + 2*u + 40 = 0. Is 12 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 82559?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q*q**(1\/3)))**35\/(q**(2\/7)*q)**(-7\/2))**14)**3 assuming q is positive.\nAnswer: q**(-301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.03? (a) -7 (b) -3 (c) 1\/5 (d) 6\/35 (e) 8.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 12:59 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 29630165557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2498103 - -16416.\nAnswer: -2481687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 705268*b - 705285*b + 3*g + 10, b - 34 = -4*g for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -14588, -14587, -14586?\n\"Answer: z - 14589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-6 - -15 - 7) - -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1650 divide 40632900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 s when four letters picked without replacement from {v: 4, s: 14}.\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i + 18 - 2 = 0. Is i > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -29508101*o**2 + 13309071?\nAnswer: -59016202*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36734.\nAnswer: 2, 18367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -178 + 169.9. Let u = -146 - -138. Let a = c - u. Which is greater: a or -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + 40*p + 2627. What is q(75)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7573529773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -302*1*(-1)\/2 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3785013946?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6922431 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 4, -48, 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of 0*k + 0*k**4 - 1\/10*k**5 + 0*k**3 - k**2 + 0. Let w be (-3)\/(-2) + (-2)\/4. Calculate i(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002190016 rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -827*s**3 - 2*s**2 + 2*s + 2. Let d(x) = 3077267*x**3 + 7443*x**2 - 7443*x - 7443. Calculate -7443*c(l) - 2*d(l).\nAnswer: 827*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p + 1. Let q(g) = 3*g - 23. Determine q(w) + 4*t(w).\nAnswer: 7*w - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 9:40 PM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 7*m - 1. Let u be n(2). Suppose -x = 4*i - 46, 5*i - 3*i = -4*x + 2. Calculate the highest common factor of i and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 793 from -112951415.\nAnswer: -112952208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a day in hours?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 2233902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)*1*-2 + (sqrt(48)*1)\/sqrt(4))\/((sqrt(240)\/sqrt(4)*2)\/(sqrt(160)*1)).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**5)**(3\/2)\/((x**(2\/19)\/x)\/((x\/((x**13\/x)\/x*x*x)*x*x)\/x*x*x)) assuming x is positive.\nAnswer: x**(-23\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10879 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -5*a. Let k = -920\/3 - -928\/3. Let t(l) be the first derivative of k*l**3 + 0*l**2 + 20 + 0*l. What is t(i(h))?\nAnswer: 200*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 189952 and 61565224?\nAnswer: 2968","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 214\/(-6)*1*(25 - 28). Let s = 109 - g. Solve 0*y = -s*y - 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (18\/36)\/(1\/(100\/2)). Suppose -d - 5 = 0, -k + p = 3*d - 2*d. What is the greatest common factor of 5 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3471612401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 16*t**2 + 8. Let h(u) = 3*u. Calculate m(h(f)).\nAnswer: 144*f**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 15*i**2 - 39*i - 88. What is w(-17)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/23)\/d**(-15))\/(d**1*d)**(-33) assuming d is positive.\nAnswer: d**(1865\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*q**4 + 7*q**4 + 5*q**4 + 13 wrt q?\nAnswer: 96*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8092.7 less than 10084831?\nAnswer: 10092923.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 3*u - 2, -4*u + 8 = -4*o - 0*o. Let g = 0.17 - -7.83. Let y = -8.3 + g. Put 5, y, u in decreasing order.\nAnswer: 5, u, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirty-three fifths of a microgram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -4*o**2 + 3*o + 3. Let m be l(3). Let a be ((-6)\/4)\/(6\/m). Let w be (1 + 0)\/((-5)\/(-25)). Which is smaller: a or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**4 - n**4 - n**4 + (0*n + 0*n - 2*n**4)*(-4 + 5 + 1) + 3*n**4 - 2*n + 2*n + 5 + 5*n**4 - 5.\nAnswer: 3*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -172255568*o**4 + 25*o - 693591 wrt o?\nAnswer: -2067066816*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1063 = 5*t + 1837. Let j = 110 - t. What are the prime factors of j?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4869 (base 12) in base 9?\nAnswer: -12150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000014392 rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63\/3 + 42328\/(-2072).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ere when three letters picked without replacement from {e: 7, r: 1, i: 2, m: 4, u: 2}?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*t + 11*t - 11*t = 150. Solve -10*u + 5*z = -14*u - 4, -3 = t*u + z for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 746 is divided by 252.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -298*h**4 + 298*h**4 + 249*h**2 - 32*h**5 wrt h?\nAnswer: -1920*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2322 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23383 - 23380. Solve 39*z = 34*z + 4*f + 9, -z + 4 = -g*f for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*-109\nAnswer: -327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -9*w. Let m(h) = -7*h + 8. Let b(p) = 16*p - 18. Let y(a) = -4*b(a) - 9*m(a). Let j(l) = 2*l - 2. Let d be j(-2). Determine d*y(q) + t(q).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 4*x**2 + 7*x - 4. Give s(-4).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 143051200 (base 6) to base 14.\nAnswer: 569916","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (8 - (-14 + 18))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37431 - 918843 = -4*s + 112466. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of 3*i**4\/16 + i**3\/2 - 21*i**2\/8 + 3*i + 14. Factor q(l).\nAnswer: 3*(l - 1)**2*(l + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 50\/500 - 1221\/12410. Is k less than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -16, -35, -70, -127?\nAnswer: -212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 2924948?\nAnswer: 2924948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 646*k**4 + k - 3064 wrt k.\nAnswer: 2584*k**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4143, 8283, 12425, 16569, 20715, 24863, 29013?\nAnswer: 33165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 21. Let w = z - -18. Suppose -21*h + 17*h + w = 0. What is the highest common divisor of 27 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -5 (b) 50 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1254263399?\nAnswer: 6337, 197927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8049, 16099, 24149, 32199, 40249?\n\"Answer: 8050*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -188228009.7 to the nearest one hundred thousand.\nAnswer: -188200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 134 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.27 minus 0.0325?\nAnswer: 1.2375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1218093671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 69 + -69. Solve b = -0*b + 5, y = -4*v - 5*b + 9 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 401 - 2387\/6. Calculate the common denominator of f and -93\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -4*b - b - 3 - b. Let r be -2 - (0 + -2 + 4). Does 6 divide u(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66535 (base 8) in base 4?\nAnswer: -12311131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2750 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llwzawlzlfw. What is prob of picking 1 z, 1 f, and 1 a?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1 - 7*z + 1 + 1 - 6 wrt z.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -301 - 298. Let m = h - -868. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**2 + 6*g - 4. Let i be k(4). Let w be -3 - (i\/6 + (-6)\/(-3)). Put w, -2, 2, -6 in decreasing order.\nAnswer: 2, -2, w, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 20 = -24 + 9, -o - 5*t - 62 = 5*t - 2*t for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 847367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -341 divided by 31\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2242 + -2238. Solve -r*j = -7*j - 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 56*m**2\/11 + 30858*m\/11 + 1102\/11.\nAnswer: 2*(m + 551)*(28*m + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9180328 rounded to two dps?\nAnswer: -0.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 4*u**2 - 3276*u + 170912 = 0.\nAnswer: 56, 763","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 2*g - 3*k + 57, -4*g + 56 = 4*k. What is the remainder when ((-12)\/18)\/((-1835)\/(-615) - 3) is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4871.1 to the nearest one hundred.\nAnswer: -4900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 730, 9976, 35074, 83950, 164530?\nAnswer: 284740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -395*h**2 + 27*h**2 - 62*h**2 + 136*h**2 - 434*h**2.\nAnswer: -728*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + (-2696960137)\/236 + -2. Let h = -11427818 - g. Let p = h - 85\/59. Calculate the common denominator of p and -20\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 88 = 80 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13060268*w - 22202855?\nAnswer: 13060268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 502948 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: Is 85037243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/3))**50)**(-2\/57) assuming u is positive.\nAnswer: u**(100\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181895 is divided by 1166?\nAnswer: 1165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -7*l**3 - 5*l - 1. Let h(x) = -22*x**3 - 16*x - 2. Let f(m) = -5*h(m) + 16*s(m). Differentiate f(j) with respect to j.\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 3157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1266, 1286, 1306?\n\"Answer: 20*z + 1246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*d - 48*d - 317 = 5*l, -14*l = d + 893 for l.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**4 + 2*t**3 + t**2 - t. Let g(h) = 27*h**4 - 7*h**3 - 8*h**2 - 2912*h + 1. Let m(b) = -g(b) - 8*p(b). Find the second derivative of m(x) wrt x.\nAnswer: -420*x**2 - 54*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 26697, 53393, 80091, 106791, 133493, 160197?\n\"Answer: p**2 + 26693*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -520720000 to the nearest one million.\nAnswer: -521000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 6*u - 45. Suppose -3*d = -84 - u. List the prime factors of d.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + 12. Let m = -20 + f. Let s be (-5)\/1*(-6)\/165. Sort -2\/5, s, m in ascending order.\nAnswer: m, -2\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 5:51 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1457, 1453, 1447, 1439, 1429, 1417, 1403?\n\"Answer: -p**2 - p + 1459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 8:14 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 10:11 PM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from vqqzvqqqv?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -57 + 52. Let u be 114 + (-10)\/4 + f\/10. Suppose 3*x = -4*p + 329, -115 = -2*x - p + u. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/(-1) + 12\/(-10)*(-3330)\/666.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/8 and -59\/14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*j = -7, o - 2*j - 22 = -7*j. Let k(a) = -4*a - 6. What is the lowest common multiple of k(o) and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4012 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 7. Let k be (-6)\/((27 - 22) + (-17)\/4). Is h at most as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -77129480*g**2 - 3659200*g + 5?\nAnswer: -154258960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 7 (b) 2\/3 (c) 34 (d) -752 (e) -1 (f) -0.6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 62 = 4*x - 5*k, -26 = -2*x + 2*k - 6 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -4*r**4\/3 + 3385704*r**3 + 10157120*r**2 + 30471368*r\/3 + 3385708 = 0.\nAnswer: -1, 2539281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -841 (base 10) to base 11\nAnswer: -6a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -7928162*d**2\/5 + 2962608*d\/5 - 276768\/5 = 0. What is d?\nAnswer: 372\/1991","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.229721 - 4.23. What is p rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8 or 6\/19?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*1*(-3 + sqrt(3)).\nAnswer: -6 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -3*i**3\/4 - 801*i**2\/4 - 71289*i\/4 - 2114907\/4 = 0.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*m**3*u**4 - 5112*m**3*u**3 - 2*m**3 - 71*m*u + 2 wrt u?\nAnswer: -48*m**3*u**2 - 30672*m**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 10) in base 13?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*4*sqrt(108).\nAnswer: -96*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 5 + -2*sqrt(325) - -2*(sqrt(325) + -4 + (sqrt(325) - (sqrt(325) + -1 + sqrt(325)) - sqrt(325))))**2 + -5.\nAnswer: 160*sqrt(13) + 5211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 165 divided by 1.\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from zzzzxzzxz?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2390417911 to the power of 1\/2, to the nearest integer?\nAnswer: 48892","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 3778 divide 706943138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -13743160*-0.5\nAnswer: 6871580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2*d - 3*x - 117, d - 2*x - 40 = 0. Let b be 60\/24*2*1. Suppose 0 = b*u + 5*k - 245, d + 15 = u + 5*k. What is the highest common factor of u and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 2*n**2 + 3*n - 1. Let f be q(-3). Let s be (5 - 0\/3) + (f - 1). Put -4, s, 5 in increasing order.\nAnswer: -4, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2325 + 0?\nAnswer: 2325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*(-2)\/(8\/1046). Suppose 7*i = 1094 + a. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**(4\/3))\/q)\/q*q*q**(-1\/3))\/(q\/q**0)**(15\/4)*q*(q*q**(-2\/7))\/q*q*((q**0*q)\/q)\/q*q**1*q*q\/(q\/q**(-2\/3))*q assuming q is positive.\nAnswer: q**(-199\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**2 + 4*k. Let d(w) = w**2 + w. Suppose -3*c + 3*b - 27 = 0, -2 = 2*b - 10. What is c*r(p) + 20*d(p)?\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 - 12 = -7*g. Suppose -9*x - g + 51 = 0. Solve 0*u = -x*u - 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5709819.\nAnswer: 3, 23, 83, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 24*p**2 + 157*p + 1354. Determine t(-12).\nAnswer: 2926","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*l + 0*l - l + 0*l.\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 254, 256, 260, 266, 274, 284, 296?\nAnswer: 310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t**2. Let w(u) be the third derivative of 19*u**5\/30 + u**3 - 32*u**2 + 10*u. What is w(p(i))?\nAnswer: 608*i**4 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1010020 (base 3) to base 4\nAnswer: 30300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 2.01433 kilograms?\nAnswer: 2014330000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1948736801?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 522 - 168. Suppose -q = q - n. Suppose 5*t = 2*t + q. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of l**7\/84 - l**6\/20 - l**5\/5 + l**4\/2 + 4*l**3\/3 - 1348*l. Find k, given that g(k) = 0.\nAnswer: -2, -1, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4940, 3405, 1870, 335, -1200, -2735?\n\"Answer: -1535*f + 6475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.01192 + 669.58808. Let i = -670 + n. What is the nearest to 0 in -3, -36, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ypcotcpd. Give prob of picking 1 y, 2 c, and 1 o.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + p + 6. Let r be 0\/p + -1 + 35. Suppose 0*m - 765 = -9*m. What is the highest common factor of m and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -5*q**3\/3 - 50*q**2 - 113*q. Let x be c(-18). Calculate the greatest common divisor of x and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -15. Let a = w + 7. Suppose -106 = -a*r - 2*r. What are the prime factors of r?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -465422*y + 465422*y - 9*y**2.\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -107306 - 159922. Let v = r + 267227.9319967. Let z = v - -0.068. Round z to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3*r + 21 = 39, t - 3*r - 6 = 0. What is the remainder when 172 is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 4*t + 38. Calculate d(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/((k*k**(-5))\/k)))\/(k\/k**(3\/10))*(((k\/(k*k**(-9)\/k*k))\/k)\/k)\/k**(-2\/33) assuming k is positive.\nAnswer: k**(449\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 346*c**6 + 6084*c**4 + 5328402*c**2.\nAnswer: 41520*c**3 + 146016*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*i + 9 = -35*i. Let y(t) = -3*t**3 - 3*t**2 + 5*t + 3. Let g(s) = 3*s**3 + 4*s**2 - 6*s - 4. Give i*g(u) - 4*y(u).\nAnswer: 3*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1764) - (sqrt(1764) + sqrt(1764)*-1 - sqrt(1764) - sqrt(1764)))*1*2)\/(-2*(-2*sqrt(70)*1)\/sqrt(10)) + -4.\nAnswer: -4 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3569 by -3.\nAnswer: 3569\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + 4 + 0 + sqrt(80) + (sqrt(80)*2 - sqrt(80)) + 1) + 5.\nAnswer: 33 + 32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + f + 6 = 0. Suppose 4*b - 4 = 2*t, f*b + 14 = 4*t + 6*b. Suppose 0*x - 2*x = 0. Put x, -4, t in decreasing order.\nAnswer: t, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25 and 84487750?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/99*-6)\/((-47)\/(47\/(-14))).\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -11*f**5\/60 - f**4\/4 + 4*f**3\/3 - 2*f**2\/3 + 130*f. Factor k(u).\nAnswer: -(u - 1)*(u + 2)*(11*u - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 6 + 5)*(4*z**3 - 2*z**3 - 3*z**3)*(-11*z**2 - 2571 - 2*z + 2571).\nAnswer: -33*z**5 - 6*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -230*k**2 - 32*k**2 + 259*k**2.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 13) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 27953.78 meters?\nAnswer: 27953780000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008055575502 to 6 dps.\nAnswer: -0.000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*g**2 - 9*g**2 + 5*g**2 + 11*g**5 + (-2 + 2 + g**3)*(g**2 + 2 - 2).\nAnswer: 12*g**5 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/73 + 136\/365. Which is the closest to z? (a) -6\/19 (b) -1\/3 (c) -1\/6 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 14*i**2 - 17*i - 3. Let k be d(6). Let w = -339 + k. What is the remainder when w is divided by 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(32) - (-1 + sqrt(32)) - sqrt(32) - (0 + (sqrt(2) + 0)**2).\nAnswer: -4*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w + 0*w + w - 3*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 28 = 5*c + 2*q, 8 = -3*c + 5*q. Let w = 7.04 + -7. Let d = -1.04 + w. What is the closest to d in c, -2\/7, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -213*k - 213*k + 639*k - k**2 - 213*k.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 622.5 * -0.3\nAnswer: -186.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, a: 6, p: 1, t: 7}. Give prob of sequence apct.\nAnswer: 1\/780","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 720604351 to the nearest integer?\nAnswer: 897","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 9 + 5 = 0. Let v = c - 10. Let z be 18\/22 - 8\/(-44). Which is greater: v or z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4373 - -4389. Let d = 4 + 1. Suppose 2*h + 2*y = 160, d*h - 237 = -2*y + 163. Calculate the greatest common factor of n and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1508, -509, -17\/7 in descending order.\nAnswer: 1508, -17\/7, -509","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-20) + (-952)\/(-10). Suppose 100 = 2*b - 3*i - i, -5*i + p = 3*b. What is the greatest common divisor of b and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56e2 (base 16) to base 14.\nAnswer: 816a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 1:26 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5630?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3731197 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 9*t - 53. Let h(d) = -5*d + 27. Let z(i) = -11*h(i) - 6*m(i). Let g(j) = -4. Give -11*g(r) - 2*z(r).\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 5974?\nAnswer: 11948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2235 = -6*y + 7539. What is y rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*m**2)*(-10*m + 10*m + 6*m**3) + 2*m**5 - m**4 + m**4 + 350*m**5 + 361*m**5 - 699*m**5 - 8*m.\nAnswer: 26*m**5 - 8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 90535302 to the nearest integer?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -144\nAnswer: -14.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 4. Suppose -4*t + 2*t = c. Let u = t + 3. Let j(y) = -2*y**2 + 3*y. Calculate j(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*q + 5*z + 772, -5*z = 3*q - 752. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 6*f = 0. Suppose -4*r - r + 640 = f. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.12669789551 to 5 decimal places.\nAnswer: -0.1267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 73903994909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 20*c**2 - 40*c + 5646. What is the remainder when d(0) is divided by 269?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nrmi when four letters picked without replacement from mlnir.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1))**(11\/7))**2\/((q*q\/(q\/q**(-1)))**(-3\/5)*(q*(q*q**0\/q)\/q)**(-1\/9)) assuming q is positive.\nAnswer: q**(-22\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -78\/24582647?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*f = 23, -4*f = 2*z + 9 + 3. Suppose 2*y + z*q = -y + 181, -8 = 4*q. Does 9 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.72419ml to litres.\nAnswer: 0.00072419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33 and 10989?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gb when two letters picked without replacement from ttttgthahtgbtthhtath?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2788.000001249 - -2788. What is z rounded to 7 decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 40 + 18 + 141*m.\nAnswer: 141*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(1\/6*-2). Is 4*y\/(-18)*24 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 34*d**3 + 6120*d**2 + 3*d + 752. Give q(-180).\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(77)\/sqrt(44))**2 + -1)*-2 - (-1 + 4 + sqrt(847)*1)*-6.\nAnswer: 5\/2 + 66*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*k + 60*k + 2*k**2 - 18*k - 12*k - 17*k.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -293*g - 44. Let j(w) = -147*w - 18. Determine 5*j(z) - 2*x(z).\nAnswer: -149*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23dd4d (base 16) to base 5.\nAnswer: -1100203123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 b when three letters picked without replacement from {b: 2, x: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 + 92 = 7*g. Let w = 160 - 88. What is the highest common factor of g and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -m**6\/195 - 28*m**5\/65 - 127*m**4\/78 + 7320*m**3\/13 + 22032*m**2\/13 - 62*m - 15. Find f such that w(f) = 0.\nAnswer: -36, -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*n**5 + 1250*n**2 - 1123*n?\nAnswer: -60*n**3 + 2500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + z**2 + 2*z + 4. Let t be c(-3). Suppose -u + 2*u - 4*o - t = 0, 5*u + o = 254. Suppose 4*p - u + 10 = 0. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 1367 - 1373 = 2*o, 0 = 27*o + 3*x + 111 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*k + k + 3*k)*(-4*k - k + 4*k) - k**2 + 2*k**2 - 4*k**2 - 2 - k**2 + 2 to the form s*k + x + a*k**2 and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/44 and 31\/77?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q**0*q)\/(((q\/(q\/((q*q**(-1\/2)*q*q)\/q*q)))\/q)\/q))\/(q*q*q**0)**(-14)*(q**3\/(q*q*q**(-1\/3)))**(3\/11) assuming q is positive.\nAnswer: q**(679\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/11, -4, 0.2, 598, 0.4, 82?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 33d87a + -3?\nAnswer: 33d877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-7 + (-16)\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 57 = 53 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of o**4 + 2*o**3 + 4974*o**2 - 641*o - 7.\nAnswer: 12*o**2 + 12*o + 9948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -0*q + q. Suppose -q*r + 27 = -6. Let c = r + 1. Solve -4*m = 4*k - c, -m - 23 = 4*k - 4*m for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.1 (b) 3 (c) 4\/7 (d) 67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 3. Suppose -6 + n = -c. Let q = c + -7. Put q, 0, 2 in decreasing order.\nAnswer: 2, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 < -6.6359?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -171015992 divided by 712.\nAnswer: -240191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-16) - (-29834)\/(-112). Let d = -274 - q. Let h(r) = -2*r**2 + 6 - 7*r + 0*r**2 + r**2. Determine h(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.7725 and -0.014?\nAnswer: 2.7585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6564\/24068*5\/3?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/10 - (-9)\/(-2). Let u = -0.401 - -0.101. Let l = 0.88 - 0.48. Which is the third biggest value? (a) r (b) l (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 h, and 1 x when three letters picked without replacement from {d: 3, t: 1, h: 1, x: 1, j: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/647 + -1951\/3235. Let t = 5.5 + -5.6. Which is the closest to t? (a) -1 (b) u (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 3 = -u, 0 = 3*u + 2*t + 3 - 12. Let m(q) be the second derivative of 0 + q**2 - 2*q + 1\/6*q**3. Determine m(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**4 + 4*j**4 + j**4)*(j - 5*j + 3*j - j - 5*j + 4*j + (3 + 0 - 1)*(2*j - j - 3*j) + 2*j + 0 + 0).\nAnswer: -30*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19.19 + 0.19. Let h = 20 - 3. Let p = h + o. What is the smallest value in -3, 0.05, p?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.02 times -0.1\nAnswer: -0.202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2024699\/8 - 252117. Let m = -976 + b. Is m not equal to -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -5 (b) 3 (c) -1\/3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -5\nAnswer: -1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8068801524 and 0.5.\nAnswer: -8068801523.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -81634.58313 + 81634. What is n rounded to three dps?\nAnswer: -0.583","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/(-4*-2*sqrt(9) - sqrt(9)))**2 + (-2 + 1*sqrt(162))**2 + sqrt(162).\nAnswer: -27*sqrt(2) + 8136\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of 0*b**2 + 1\/6*b**3 + 0 + 14*b. Let f(p) = -3*p. What is r(f(z))?\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/10*6\/8. Let n = 217 + -196. Let c = -26 + n. Put z, c, 0.2, 0.5 in decreasing order.\nAnswer: 0.5, 0.2, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42 - 41.4. Let w = p + 15.4. Which is the third biggest value? (a) w (b) -0.4 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1649634 and 2604?\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*m - 20*m + 72*m - 5*m**3.\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**3 - 3*a**3 - a**3)*(18 + 28*a + 6 - 26)*(-4*a + 4*a - 2*a).\nAnswer: 224*a**5 - 16*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, -0.1, -120272, -4\/5, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4526*(19 - 10 - 10)*-7.\nAnswer: 2, 7, 31, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -q**3 - 3. Let n(h) = h. Determine w(n(t)).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 10*t + 8. Let a(m) = -21*m - 15. Let x(w) = 5*a(w) + 9*z(w). Let s be x(-3). Let v = 66 - s. Is v a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.3671909 to three dps.\nAnswer: 1.367","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-14))**(6\/17) assuming k is positive.\nAnswer: k**(-78\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 43 + -41. Suppose -4*g = -4*v - 1564, v - 3*v + 786 = w*g. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/6 and 2 - 3\/(18\/(-15))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n - 4*n = 35. Suppose n*l + 2 = 57. Let v be (-3)\/2*(0 - 2). Solve -4*h - l = -v for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 0 + 1 - 139\/78 and 22\/330 + 1427\/30*-1.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 2*i - 88, -2*i - 2*t - 3*t + 120 = 0. Suppose -i - 78 = -8*g. Is g > 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.3146 take away 2.867?\nAnswer: -6.1816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*l + 4*i, -3*l = i - 19 - 7. What is the lowest common multiple of l and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - 12*g + 2. Let l be c(3). Calculate the remainder when 51 is divided by (-10)\/(-2)*(-30)\/l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4717\/5 + -5669829\/6010. Let x = d + 40265\/2404. Find the common denominator of 113\/20 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1730633 + 54299.\nAnswer: 1784932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 896322638 to the power of 1\/3, to the nearest integer?\nAnswer: 964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + 4*b. Suppose o = 4*o - 4*o. Suppose 11*v + 10 + 45 = o. Let u(c) = c**2 - 5*c + 1. Let l(x) = v*w(x) - 4*u(x). Factor l(s).\nAnswer: (s - 2)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/((-9)\/2))\/(((-10755)\/(-1620))\/(-239))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6235 or 6230?\nAnswer: 6230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -6*w**3\/11 - 10926*w**2\/11 - 4968594*w\/11 + 4979526\/11 = 0.\nAnswer: -911, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 322, -23, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 900*v - 21 = 907*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 752 and 546 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 10*q - 64. Determine d(21).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (12\/9)\/(19\/(266\/(-1190))*3\/(-45))\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (29 - -6 - 5)\/(3\/28). Find the third derivative of m**2 + 20*m**3 + 15*m**3 - w + 279 wrt m.\nAnswer: 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1797*x**3 - 3593*x**3 - 4545*x**3 - 4024*x**3 - 57*x**3.\nAnswer: -10422*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 27, -19, 4, -42, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/12 and 38\/631.\nAnswer: 7572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 0*v - 2*v - 3006237 = 0, q = -5*v + 3006230. Let l = 1293765 + q. Round l to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62741 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 6:13 AM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 43\/2 of a microgram?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1410 and 6462.\nAnswer: 1518570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.099 + -103.099. Let w = -103.87 - d. What is w rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**5*p**8)\/((p\/((p**(-2)\/p)\/p))\/p*p)**(-22\/9) assuming p is positive.\nAnswer: p**(227\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*r = -29*r + 260. Suppose v - r = -5. Solve -10*h - 20 = -v*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2158.\nAnswer: 2, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 + 3)\/(-2) + 39 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -24228*b + 24231*b - 17, -b = -5*x + 5 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1907)\/(-5) - 72\/(-120) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 - 23 + 12)*(-12*l**4 + 1045*l**4 + 62*l**4) in the form c*l**2 + n*l**3 + s + i*l**4 + m*l and give i.\nAnswer: -19710","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1 (b) 2\/13 (c) 97 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3389*u - 569*u - 75*u - 395234 = 0 for u.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.031*62100.\nAnswer: -1925.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -43 (b) 0 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -20*m - 769. What is z(-39)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -4*h**2 + 432*h - 2409. Give z(102).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 849596 and 132?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2562?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 2*f + 1 = 0, -4*f + 5*f = -p + 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 76 - 72. Solve -4*c - k = -3*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -445854, -891705, -1337556?\n\"Answer: -445851*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 9 = -3*m, 2*m + 8 + 3 = v. Let j be -19*1*(-7 - m). Let o = j + 23. Solve -t - 12 = -o*g, g + 6 = 3*g + 3*t for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u**2 - 65*u + 133. Give g(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**22)\/((v*v*v*v*v\/((v**(3\/5)*v)\/v)*v*v)\/v*v))**(-6) assuming v is positive.\nAnswer: v**(822\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 91349 and 1104393?\nAnswer: 184433631","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1553 - 7*l + 5*l**3 + 4*l - 1556 + 348*l**4 + 2*l to the form d*l**2 + p*l**3 + u*l + t + a*l**4 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -3. Let s = k - 1. Suppose 0 = 2*n - s*n - 6. Solve 3*g = 3*l - 3, g - 2 = n*l - 3 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 7*r - 96. What is x(17)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**3 + 4*y**3 - 2*y**3 + (7*y - 9*y - 2*y**2 + 2 - y**2)*(2*y + y - 5*y).\nAnswer: 7*y**3 + 4*y**2 - 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 341 and 20987.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 74\/26 + -3 + (-9)\/702\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 149 = 5*l - 51, -5*r + 237 = 3*l. Let n = -21 + r. Is 12 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -3*q**4\/8 + 9*q**3\/8 + 39*q**2\/8 - 45*q\/8 = 0.\nAnswer: -3, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/3 + 128\/6. Let v = 36 - c. Suppose -v = -h + 11. What is the highest common factor of 13 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212961 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: Sort 3, -2\/3, 0.3, 2\/17.\nAnswer: -2\/3, 2\/17, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -18059678738 and -3.\nAnswer: -18059678741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3719?\nAnswer: 3719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15691800?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**3 + 147 - 7 + 195.\nAnswer: 2*x**3 + 335","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(539) + -3 + (sqrt(539) + (sqrt(539) - (0 + sqrt(539))))*-1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*x + 455828 - 89249. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3937781, -7875559, -11813337, -15751115?\n\"Answer: -3937778*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35.59931 kilometers to millimeters.\nAnswer: 35599310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -2*l - 13. Let a = 18 - l. Suppose 5*w - 422 = -c, 3*w + 0*c - 262 = -a*c. What is the highest common factor of w and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-17 - 3) + (-10 - -16)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39558*u = -39405*u + 6579 for u.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 3*p - 6, -3*x + 2*x - 2*p = 1 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 217, 0.4, 3\/2, 2, 3.9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27*h**5*w**3 + 2*h**5*w - 2*h*w + 878*w**3 wrt h.\nAnswer: -540*h**3*w**3 + 40*h**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*n = 80 + 292 + 73 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.6 + 3.554. Let b = s + 0.05. What is b rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -237 = -11*t - 39. Suppose -4*c + 30 = 5*j - 9*c, -4*j + 42 = 5*c. Calculate the smallest common multiple of j and t.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -538*y + 2584*y + 11295*y - 1132*y.\nAnswer: 12209*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3351661*d*m**2 - d*m + 298730*d - m wrt m?\nAnswer: 6703322*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63 and 1521?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 12:58 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.02924 - -7.97076. Put 0.1, 1, -4\/7, g in increasing order.\nAnswer: -4\/7, 0.1, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 5*w**3\/6 + 400*w**2 + 164755*w\/6 = 0.\nAnswer: -397, -83, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -30312325 and 2\/9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 1, -1, -12 in descending order.\nAnswer: 1, 0, -1, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/627 >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/40 of a millimeter?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 5449635433?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -14307*w**2 - 133*w + 19. Let t(y) = 4769*y**2 + 42*y - 6. What is 6*o(i) + 19*t(i)?\nAnswer: 4769*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2 - 47615704*f + 141703454213476.\nAnswer: 4*(f - 5951963)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250*j - 2776 - 7074 = -371*j + 8159 for j.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 22*p + 51. Is 5 a factor of v(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 13) to base 14\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 7:35 AM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 5 = -4*f. Let p be f + -2*10\/(-16). Factor 0 + p*y**2 + 0*y.\nAnswer: y**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78503.37 - -436513.8?\nAnswer: 515017.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003473947944 rounded to seven decimal places?\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(1539) - -2*sqrt(1539) - sqrt(1539)) + (sqrt(57)*-2)\/sqrt(3) + sqrt(19) + -3)**2 - (4*-1*sqrt(171) - sqrt(171))\/(sqrt(225)*5 + sqrt(9)).\nAnswer: 5*sqrt(19)\/26 + 5491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (1476\/336)\/(12\/32)) + 351\/27.\nAnswer: -33\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 571*d**2 - 582*d**2 - 375*d**2 - 2429*d**2.\nAnswer: -2815*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.3 (b) 45 (c) -1\/5 (d) 1\/4 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 218541 divided by 15\nAnswer: 72847\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 5*x - 8. Let n be f(2). What is the nearest to -2\/29 in -1, n, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/13845 and -38\/664255.\nAnswer: 1839322095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24129?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 0 - (-4 + 2). Solve -1 = 3*n - o, 4*n - l*o = 7 - 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6531, -6529, -6527, -6525?\n\"Answer: 2*v - 6533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/14, 0.1, 1, 0.026?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38610890 to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**2\/5 - 2595266712*b\/5 + 420963081650955684\/5 = 0 for b.\nAnswer: 324408339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -29 - 11\/10*o**4 + 0*o - 6\/25*o**5 + 4\/5*o**2 - 16\/15*o**3. Find s, given that b(s) = 0.\nAnswer: -2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 3) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -12. Let r be (o - 5) + (-13)\/(-4). Factor -1\/4 - r*d**2 - 1\/2*d.\nAnswer: -(d + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g - 2*g + g + (-4 + 2*g + 4)*(-3 - 1 + 2) + 5*g - 2*g - 2*g + (-4 + 3 + 3)*(g + g + 0*g) - 134*g - 134 + 274 - 141 to the form x*g + a and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = 2*b - 7*b. Suppose -3*x + b = -x. Calculate the lowest common multiple of x and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kfrr when four letters picked without replacement from rmarrzzazkmafk.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -18824, -18884, -18944, -19004, -19064, -19124?\n\"Answer: -60*h - 18764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-1\/2))**(-2\/27)*(t*(t\/t**(-3\/7)*t)\/t*t)**43 assuming t is positive.\nAnswer: t**(27857\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 156574 and -0.6.\nAnswer: 156573.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97595?\nAnswer: 5, 131, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 86\/(-301)*14\/(-24)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17174?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*m + 5533951 = 5539411 for m.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(462)*3)\/sqrt(11))\/(-2*sqrt(726) + sqrt(726)).\nAnswer: -2 - 3*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 15a58a (base 11) to base 9\nAnswer: 417504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 237 - 144. What is the remainder when b is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 5*n + 740 = -n, -3*n + 303 = 2*m. Is 24 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145295 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a tonne in kilograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 - 3*o + 32. Is q(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -2*h + 6, 3*h = 4*j + 46 - 37. Which is the closest to 1? (a) 1\/8 (b) h (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + 2*p**2 + 45*p - 18. Determine v(8).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95)*6 + sqrt(95))*-2)\/((sqrt(605) + sqrt(5))*-2 + sqrt(5)).\nAnswer: 14*sqrt(19)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 700\/(-200)*((-80)\/14)\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1000 + -120?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/40*16\/6)\/(-6).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100146183 + 5*t - 100146183.\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2127815505 a multiple of 157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2799 + 4.7201. Let v = -2.84 - 0.16. Put 0.3, p, v in ascending order.\nAnswer: v, 0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of -8*a**6\/15 + 13*a**5\/12 + 47*a**2 - 2*a. What is the third derivative of y(o) wrt o?\nAnswer: -384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + (9 + -3 - 37).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -2435 - 129. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1185*s + 5*b = -1255, 3*s - 76 + 3 = 9*b - 4*b for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(76) - -2*sqrt(684) - (sqrt(76)*1 + 1)) + -4 + -2*(sqrt(38)\/(sqrt(2) + 2*sqrt(2)) - ((sqrt(19) - sqrt(171)) + -2)).\nAnswer: -9 + 4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of b**4\/4 + 3*b**3 + 4*b**2 + 2*b + 5. Let g be u(-8). What is the units digit of g\/(-13) - 1338\/(-78)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + w = -0*w - 6, 0 = -5*a - 4*w + 27. Suppose -2*s = 2*o - 8, -a*o = -3*s + 2*s. Find the second derivative of -s - d + 3 - 2*d**2 wrt d.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.57814 - -2.67823. Let i = -50.1 + 48. Let l = m + i. What is l rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 108 and 49268?\nAnswer: 1330236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7652156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31594 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 34 = 4*m - m, 0 = -m + 2*u + 16. Let n be -9200*(878\/m + (-20)\/30). Round n to the nearest 10000.\nAnswer: -670000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -6*g + 15. Find the second derivative of -h**3 + 5*h - h - g*h - h**3 wrt h.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -527*j - 17. Let l(n) = -88*n - 3. Determine 34*l(w) - 6*s(w).\nAnswer: 170*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1649 divided by -97\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*s + 33 = -17 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -209*r**3\/6 + 674*r + 1. Let w(s) = -7*s**2. Calculate w(u(q)).\nAnswer: -305767*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 187, 375, 563, 751, 939, 1127?\n\"Answer: 188*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 5 = -4. Let g(l) = 2 + l**2 - l**2 + 3*l**2 + l**3 + 2. What is the units digit of g(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2497 at least as big as 2514?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2535 + 5309. What is the least common multiple of 8 and g?\nAnswer: 11096","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 2\/7 (c) 0.4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -20*x - 11. Let u be p(-3). Let n = u + -32. Calculate the highest common divisor of n and 221.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -c3a2 (base 13) to base 9\nAnswer: -41033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -4*h**2 + 4*h + 2. Let p(z) be the third derivative of 1\/12*z**4 + 1\/6*z**3 - 58*z**2 + 0*z - 1\/30*z**5 + 0. Determine 3*g(y) - 7*p(y).\nAnswer: 2*y**2 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32142433 is divided by 3673?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-939)\/(-626)*4\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*a + 10 = 0. Suppose 24 = a*q - 5*h, -2*q + 8 = -h - 0. Are q and 2 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*y - 637 + 982. Let m(n) = 4*n**2 + 56*n - 57. Give m(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 4*b + 28 = y, -2*b = 5*y + 4. Suppose -b = -58*v + 54*v. Solve -2*n + 16 + 7 = 3*s, -2*n - v*s + 18 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -675, -1425, -2185, -2961, -3759, -4585, -5445, -6345?\n\"Answer: -n**3 + n**2 - 746*n + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -r**5\/20 - 423*r**3\/2 - 13031*r**2\/2 - 2*r + 10638. Differentiate x(g) wrt g.\nAnswer: -3*g**2 - 1269","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4510.185 years in decades?\nAnswer: 451.0185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-784)\/1225)\/(1\/2715). Let s = h + 1740. Factor 3\/5*d**3 - 18\/5*d**2 + 27\/5*d - s.\nAnswer: 3*(d - 4)*(d - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 997568522 to the nearest integer?\nAnswer: 999","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 49699621441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6593 - -4?\nAnswer: 6597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -55 (c) -11 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 29891138.\nAnswer: -3\/29891138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in centuries?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 48555427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-6))\/(12\/81)*(-6264)\/1566\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 483 - 83516056335\nAnswer: -83516055852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 35848, 35870, 35892, 35914, 35936?\n\"Answer: 22*m + 35826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 10:17 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6795000 rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3498 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 11) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (171\/(-152))\/(-9) + (-1)\/8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q + 8. Let m(t) = -t + 7. Let u(s) = 7*m(s) - 6*v(s). Let b(d) be the second derivative of 0 + 3*d**2 + d - 4\/3*d**3. Calculate -2*b(i) + 14*u(i).\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 735669.3 decades to centuries.\nAnswer: 73566.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 623166 a multiple of 367?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 divided by 95?\nAnswer: 58\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37730 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k. Let g(r) = -46*r - 6. Let c(v) = -91*v - 16. Let z(l) = -2*c(l) + 5*g(l). What is a(z(s))?\nAnswer: 96*s - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-84)\/(-280) - (-3)\/(-10). Let x(k) = 3*k**3 - 2*k - 1. Let a be x(-1). Let i = 1 + a. Is i equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53 divided by -58\nAnswer: -53\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -64) + 10 + (2 - (6 - -15))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-4) - 0)\/((-10)\/(-10)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u + s, 3*s - 2 - 54 = -3*u - 8*u - 0*s for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 729, 3, -4 in decreasing order.\nAnswer: 729, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200*d**3 - 3*d + 3*d - 2*d.\nAnswer: -200*d**3 - 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0035341489 rounded to four decimal places?\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*g + 7. Suppose i + 3614 = 4*m - 0*i, 3*m = g*i + 2702. Suppose -m = -5*x + 3*r, 170 = x - r + 4*r. List the prime factors of x.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9857818 divided by -4928909\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**5 + 0*o**5 + 0*o**5 + (3*o**2 - 2*o**2 + 3*o**2)*(2*o**2 - 3*o**2 + 0*o**3 - 3*o**3).\nAnswer: -13*o**5 - 4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of 2809*x**5\/6 + 106*x**4 + 48*x**3\/5 + 11529*x**2. Factor l(n).\nAnswer: 2*(265*n + 12)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i**2 - 6*i + 1. Let t(z) = 4*z**2 + 5*z - 1. Calculate 5*o(l) + 4*t(l).\nAnswer: l**2 - 10*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, 0.4, -1\/4, -2.9, 1\/7, -5 in decreasing order.\nAnswer: 28, 0.4, 1\/7, -1\/4, -2.9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1859 + -1675?\nAnswer: -30d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5340 (base 15) in base 6?\nAnswer: 213310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(11\/8))**(-12) assuming t is positive.\nAnswer: t**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*x - 4*v - 12, 0 = 2*x - 5*v - 30. Let s = -35 - -55. Calculate the highest common divisor of s and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 315410*d*t**3 + 8*d*t**2 - 21*d + 516*t**3 + 2085*t**2 + 10 wrt d.\nAnswer: 315410*t**3 + 8*t**2 - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mp when two letters picked without replacement from ptmmm?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 795134 by -38.\nAnswer: -397567\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1650975797.\nAnswer: 19, 61, 1424483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**3\/(q\/q**(-2\/15)))**(4\/27) assuming q is positive.\nAnswer: q**(112\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - l - 2. Suppose 5 + 5 = -5*h, -5*h = -o + 26. Suppose 6 = -2*c - b, -b - o = 5*c + 2*b. Let g be d(c). Solve -3*v - g = v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 9*y**2 - 6*y + 8. Let v(z) = z**2 - z + 1. Let c(w) = -n(w) + 6*v(w). Let t be c(-4). Solve -4*j - t - 6 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 2*b - 5*b)*((3 - 5 + 1)*(b - 5*b + 6*b) + (6 - 13 - 3)*(3*b + 0*b + 0*b)).\nAnswer: 160*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 - -54?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 17923425 to the power of 1\/2, to the nearest integer?\nAnswer: 4234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -199 - -287. What is the highest common factor of j and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3.97, 1089\/7, -1\/13, -4, 1\/8?\nAnswer: -3.97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g**5\/5 - 1332*g**4\/5 + 37368*g**3\/5 - 306992*g**2\/5 + 475104*g\/5 = 0. Calculate g.\nAnswer: 0, 2, 14, 303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 - 7*d - 4. Let f be r(-7). Let z be f\/14*(0 - 1). Are 3\/5 and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - ((1 - 5) + 0).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j + 16. Let d be a(-13). Suppose -691 = d*v - 154. Let h = v + 306. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 34 = 5*p + 2, 5*b - 118 = -4*p. Let a(i) = 13*i**2 - i + 1. Let m be a(-2). What is the highest common divisor of b and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) - -6*sqrt(80)*1)\/(-2*sqrt(20)\/sqrt(5)))\/((sqrt(4) - -2*sqrt(196)) + (sqrt(4)*1 - sqrt(4))*2 + sqrt(4)).\nAnswer: -7*sqrt(5)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47771107 is divided by 473?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -7\/4*f**4 - 17 + 0*f + 0*f**2 - 5\/3*f**3. Find the third derivative of v(n) wrt n.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -538 + -2c81?\nAnswer: -34b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - 24*m - 23. What is the hundreds digit of b(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -282.6 + 282.6. What is the third biggest value in s, 2\/9, -57?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 1\/6 (c) 254 (d) -2\/17 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -23609*x + 1274884. What is k(54)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 160\/12*(-3)\/(-2). Let k be (-5)\/g*-2*-4. Let z be 8\/16 + (-97)\/k. Calculate the greatest common divisor of z and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 36, 99, 190, 309?\nAnswer: 456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 520 - 488. Calculate the highest common factor of g and 400.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/33 and 25\/37466.\nAnswer: 112398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 + 24.1. Put 5, 3\/8, -3, z in descending order.\nAnswer: 5, 3\/8, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 3:15 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k - 5*k + 4*k + (-16 + 1 - 9)*(-7*k - 16*k + 7*k) + (3*k - 6*k + 2*k)*(-3 + 3 - 1).\nAnswer: 384*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + -204*33\/(-1144))*(-8)\/(-3).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 6. Suppose 3*n - 5*c - 35 = -u*n, -n + 2*c + 11 = 0. Let h be (n\/9)\/((-6)\/(-4)). Which is greater: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 168086875?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (18\/(-4))\/(-3)*-16. What is the common denominator of (-10)\/12*45\/u and ((-2)\/6)\/(14\/87)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 1. Let c be j*(1 - 6\/2). What is the second derivative of v - c*v + 3*v + 2*v**2 wrt v?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v. Let f(s) = 325*s**2 - 14415*s + 1. What is g(f(q))?\nAnswer: -650*q**2 + 28830*q - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3b + -14?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*w + 14*w - 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + 4*u + 4, -3*u + 39 = z. Suppose -z = 4*t - 93. Does 3 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 - -101301?\nAnswer: 101221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1414478 and 72?\nAnswer: 1414406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, v: 3}. Give prob of sequence vv.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -5*o - 30, -o + 50*i = 51*i + 7. Let n be 24\/o*30\/(1\/(-1)). Calculate the greatest common divisor of 288 and n.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/3))**(-15\/8)\/(w**(-2\/9)\/(w\/w**(-6)))*(w**(-3)\/(w*((w*w**6)\/w)\/w*w))\/(w**0)**40 assuming w is positive.\nAnswer: w**(-155\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4 + 2)\/18)\/((-45)\/(-27)).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u - 1. Suppose -7*i + 4 = -3. Let j(h) = 3*h - 1. Suppose -6 = -3*o + 6*o. Determine i*j(z) + o*l(z).\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-12))\/(885\/3540).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 9:36 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.99999872 - -1. What is m rounded to 7 dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**3 - 172*o**2 - 1520*o - 99448. Determine a(-84).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1 - 1 - 367)*13\/(-39)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 2499, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17191 + 17209. Suppose -4*c = -2*c + m - 325, 0 = 2*c + 2*m - 326. What is the greatest common factor of c and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 2.4 (c) 1 (d) 3 (e) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -696*b + 455*b + 339*b.\nAnswer: 98*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1175 and 2.1.\nAnswer: -1172.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6480 equal to 6478?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2 (b) -17 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137045 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 + (21 - -19) - (2 + (-31 - 1))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-12)\/(-420)*45\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 109 = 117. Let a = 111 - 552\/5. Put -0.2, a, t, -3 in decreasing order.\nAnswer: a, -0.2, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/3234 and 113\/473352.\nAnswer: 23194248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1166\/(-99) + (-4)\/18. Let p be (3\/((-12)\/(-22)))\/((-2)\/y). Calculate the highest common factor of p and 231.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 8) in base 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1079 + 573 = 4*n. Suppose 0*m + m = -s + 97, -4*s = -m - n. Suppose 23 = g - 7*p + 4*p, 0 = 4*g - 2*p - s. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 152\/7*j - 6\/7*j**2 + 104\/7.\nAnswer: -2*(j - 26)*(3*j + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*f - 1 + 5*f**4 + 6 + 7*f + f**2 + 2*f**4 - 3*f**4 to l*f + s*f**4 + r*f**3 + m + w*f**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2\/9 + 216*m + 26244.\nAnswer: 4*(m + 243)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a\/(a**(5\/4)*a))**(3\/7))**(-4\/7))**(-21))**(-3) assuming a is positive.\nAnswer: a**(27\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -192409360 divided by 795080?\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195 = b + 4*h + 187, -3*b + 17 = 5*h for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 436\/5*30*15\/45?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 698?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 4. Suppose 0 = -6*t + 2*t. Let l be f(t). Differentiate l*h**2 - h**2 + 0*h**2 + 3 wrt h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nxx when three letters picked without replacement from xpnxqqxpxxqxxxq?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 24 = -2*k. Let q = -25 - k. Let v(o) = 3*o**3 + o**2 + o + 1. Give v(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -22*q**2 - 4*q + 5. Let g(h) = -h**2 + h. Calculate -d(r) - 6*g(r).\nAnswer: 28*r**2 - 2*r - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -55*u + 57*u + 3 + 0*u**2 - 3*u**2 + (1 - 5 + 3)*(2*u**2 - 3*u**2 - u**2).\nAnswer: -u**2 + 2*u + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4921*l**4 + 5020*l**4 - 10482*l**4)*(-7 + 3 + 0).\nAnswer: 2164*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 1. Let c(k) = -12*k - 6. Let j(w) = -c(w) - z(w). Suppose 8*s - 4*s - 5*t = 21, -5*s - 4*t + 16 = 0. What is the tens digit of j(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**(7\/8)*m)*m*(m*m*m*m**(-7\/5))\/m)**(-36) assuming m is positive.\nAnswer: m**(99\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -140.37 rounded to zero decimal places?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -301604\/7 - -43086. Which is the nearest to u? (a) 2 (b) -12\/5 (c) 2.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3616)\/(-565) - ((-24)\/(-10) + -2))*-1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 220 and 540.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 5201160, -0.07?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1327 and -386971.\nAnswer: 513510517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**2 + 3700028715210*n + 7 - 3700028715210*n - 7.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2498613 (base 11) to base 8.\nAnswer: 20411763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23130190 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -337*g**3 - 17*g**2 + 59*g**2 + 7*g**2 - 24*g**2.\nAnswer: -337*g**3 + 25*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5 + (-356)\/(-90) + -2. Let i = q - -23\/30. Calculate the common denominator of i and -38\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 1599 - 479 = 0. Let z(d) = -d**2 - 9*d - 14. Let s be z(-4). Suppose -g - l = -s*g. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18363696 divided by -39.\nAnswer: -470864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6497121 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*v + 212*v + 66*v + 61*v + 72*v + 44*v.\nAnswer: 517*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of 0*a**3 + 1\/20*a**5 - 7\/2*a**2 + 0 + 17*a + 1\/2*a**4. What is the remainder when 35 is divided by v(-3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -616.9 - 0.2.\nAnswer: -617.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 258298 to the power of 1\/2, to the nearest integer?\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16471\/(-52))\/(-181)*4\/(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 151428852579784+-0.4\nAnswer: 151428852579783.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2)*(1 + 2 - 1)*(0 + 1 + 1)*(135 - 135 - 30*c).\nAnswer: 240*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11864951.999834 - 11864966. Let w = y - -14. What is w rounded to five dps?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - 17. Suppose -m*f + 0 = 2*d + 2, 2*f + 4 = 0. Suppose d*y = z - 0*z, 0 = -z - 2*y + 4. Solve -5*q + 3*q + z = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174 - 174 - 832*q**2.\nAnswer: -832*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/3, 3, -2\/7, -7, -43 in increasing order.\nAnswer: -43, -7, -5\/3, -2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 3 + 101 - (-7 + 23 + -6)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 5*i - 2. Let q(h) = 71*h**2 + 56*h - 22. Let f(n) = -11*k(n) + q(n). Let m(y) = y. Determine m(f(w)).\nAnswer: 71*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 494722 and 4251573.\nAnswer: 893","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 k when four letters picked without replacement from {t: 3, u: 5, i: 3, b: 8, k: 1}.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.82, 100, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4441?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q - 1. Let j = 8 + 8. Does 5 divide h(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 24*x**2 + 46*x - 1541. Is y(49) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64 and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m**2 + 3*m**2 - 2*m**2 + 2*m**2 - 6*m**3 + 92*m + 212*m wrt m.\nAnswer: -36*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of (1585 + -1)*1\/12*6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 - -0.2. Let o be (-40)\/(-5) + (-264)\/36. Which is the smallest value? (a) o (b) f (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that z**5\/4 - 2947*z**4\/2 + 2233616*z**3 - 183868696*z**2 + 3704992896*z + 8163353088 = 0.\nAnswer: -2, 44, 2904","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 286046421 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 16440 rounded to the nearest one thousand?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/23 (b) -92 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/82*8\/(32\/8))\/1.\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x. Let s(t) = 12 - 12 + 0 - 19*t. Determine j(s(h)).\nAnswer: -57*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18620682?\nAnswer: 2, 3, 173, 17939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 + 73. Let d = -49.9999979 + u. Round d to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 236 times -0.055434\nAnswer: -13.082424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*s**2 + 9*s**2 - 18*s**2.\nAnswer: -22*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 9*n**2 + 2*n + 2. Calculate p(9).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 10 = -0*t. Let n(i) = i**3 + 5*i**2 - 3*i + 4. What is the remainder when n(t) is divided by 0 + 9 - (-4)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) 1 (b) 6 (c) -0.4 (d) -1 (e) -8 (f) -4936\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/(-12)*(-38)\/209*56\/4?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 40 = a - 66, 3 = -3*v. Is a < 102?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (4 + 1 + sqrt(200) + 3)**2.\nAnswer: 160*sqrt(2) + 259","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71236 is divided by 25.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 267828656 to the power of 1\/3, to the nearest integer?\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14615 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 66 + -66. Suppose 2*a = -3*m, -m + n*a + 2*a + 8 = 0. What is the units digit of -4 + (0 + 2 - (-180)\/m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 6:01 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3564.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/3))**(1\/76))**(-16) assuming r is positive.\nAnswer: r**(-4\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.07, 0, 3, -2\/17, 5, 26 in decreasing order.\nAnswer: 26, 5, 3, 0.07, 0, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-6) - (-4)\/6. Suppose 4*o - 2*u - 244 = -4*u, -305 = -5*o - a*u. Suppose -o = -m + 4*b + 4, 283 = 5*m + b. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141591733.\nAnswer: 43, 1301, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/10 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1456384663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 59080?\nAnswer: 59080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1214*x = -4209*x - 160693 - 228657 for x.\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 886*v - 104*v - 9384 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*y = 963 - 875 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 2\/7, -3 in decreasing order.\nAnswer: 2\/7, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*v**3 - 4*v**3 - 10*v**3 + (4*v**2 + 2*v**2 - 4*v**2)*(-1 + v + 1).\nAnswer: -32*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4060 and 407960.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of 51*f**5\/20 - 3*f**4\/4 + 263*f**3\/6 - f**2\/2 + 2697*f. Find the second derivative of v(l) wrt l.\nAnswer: 306*l - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 176 + -120. Let z(k) = 20*k**2 - x*k**2 + 33*k**2. Let o(f) = -5*f. Let g(c) = 15*c. Let p(h) = 2*g(h) + 7*o(h). Calculate z(p(y)).\nAnswer: -75*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -5*x + f + 1373, 2*x - 555 = 5*f. List the prime factors of x.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4230525 > -4230525?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13527701?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 950*b - 11*b**5 + 0 + 0 - 948*b wrt b?\nAnswer: -220*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**3 + 88657299*d**2 - 88657299*d**2 - 1 + 1.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*(3 - (4 + -2)). Solve -4 = -u*a - a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5*y = -2*w - 64, 0 = -3*w. Let b be y - (0 - 2\/(-2)). Solve 0 = -0*d - 3*d + b for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(315) - (sqrt(315) + sqrt(315)*-1))*-4)\/(sqrt(28)\/(sqrt(8)\/sqrt(2))))\/(-5*sqrt(81) - sqrt(72)\/(sqrt(8)*-2)).\nAnswer: 8*sqrt(5)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 3 + 7. Let h be 3\/(3\/10*(s + 7)). What is the third derivative of 157*o**2 - 135*o**h + 15*o**3 - 4*o**3 wrt o?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15241.1 - -14504. What is l rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 239665 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 7*w - c - 139 = 0, -101 = -3*w + 4*c. Let o = w - -42. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/10)\/(-12*(-2)\/80)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/16)\/(684\/9728*-16). Let -22\/9*w**2 - 10\/9*w**4 + 32\/9 - 31\/9*w**3 - x*w**5 + 32\/9*w = 0. Calculate w.\nAnswer: -4, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -136*p - 4776. Give v(-42).\nAnswer: 936","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) -5 (c) 2 (d) 0.10609 (e) -181\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01477 to three dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (547\/(-156) - 1) + 64 + -59 and 13\/44?\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 645868?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*i + 26 = 7, q - 27 = -5*i. Calculate the least common multiple of 272 and q.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*a**2*k**3 + 438*a**2*k**2 + a**2*k + a**2 + 9*a*k**3 + 18*a*k**2 + 33*a*k - 221*k**3 wrt a?\nAnswer: -22*k**3 + 876*k**2 + 2*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.257 (b) -5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12.771 and 91?\nAnswer: 1162.161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**4)**47 assuming f is positive.\nAnswer: f**188","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50, 4, -2, 2, -6959, -3 in descending order.\nAnswer: 50, 4, 2, -2, -3, -6959","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v + 24. What is the tens digit of q(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1aba602 (base 12) to base 10\nAnswer: 5720546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 5*t**2 + 8*t + 8. Let c be g(-6). Let d = 1 + -3. Let w be d + -1 + (-1 - c). Solve w = 2*z + 1 - 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*w**5 + w**5 + 2*w**5 + (0*w + w + 3*w)*(0*w**4 - 5*w**4 + 4*w**4) - 130*w + 130*w - w**5 - 15*w**2.\nAnswer: -7*w**5 - 15*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 2*a + 55, 6*v - 45 = v + 4*a. Suppose -7 = -2*p - u + 6*u, 3*p - 5*u = v. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -575960983*b**3 - 2*b**2 - 330161*b + 2?\nAnswer: -3455765898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5735 - 4246 = -9*c. Suppose 3*j - c - 382 = 0. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - 89*s**2 - 1563*s - 159. Give v(-65).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 3*l**2 - l + 3. Let z be g(3). Calculate the smallest common multiple of 0\/4 - 2*-2 and z - (2 + -5) - -3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -24*h + 9650. List the prime factors of h.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -3*p + 7*i - 8, -2*p + 24 = 4*i. Suppose -2*z = -p*z + 18. Is z a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 181 = -2*r - 19, 3*x = 5*r - 82. Is -25 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 1)*(4 - 9*k - 4)*(-3*k**3 - 52*k**3 + 2*k**4 - 99 + 98).\nAnswer: 18*k**5 - 495*k**4 - 9*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 + 3*h + 5. Let s be t(-7). Suppose 2*b + s = 5*b. Suppose -6*r = 5*x - 2*r - 29, x - 29 = 5*r. What is the lowest common multiple of b and x?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 471826075 to the nearest integer?\nAnswer: 21722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -3 - (1 + 1 + 3)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4973776626?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -2*k**4 + 5*k**3\/3 + 25*k - 8. What is the first derivative of x(s) wrt s?\nAnswer: -24*s**2 + 10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -46 - -39. Let p(y) be the first derivative of y**4\/2 + y**3\/3 - 3*y + 1286. Let r(d) = 2*d**3 + d**2 - 4. Determine t*p(h) + 6*r(h).\nAnswer: -2*h**3 - h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*u - 1)*(3*u - 5*u + 4*u) + 0*u**2 - 4*u**2 + 3*u**2 - 97*u**2 + 1914*u**2 + 428*u**2.\nAnswer: 2248*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/40)\/(2*27\/48)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22.5536 - -9.645. Let h = -0.1614 + s. Let z = h + 13. Round z to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23 and 81402451.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(190)\/((sqrt(5) - -1*sqrt(5))*-1)*-4)\/((sqrt(128) - (-1*sqrt(128) - sqrt(128))*4) + sqrt(128) + sqrt(128) - 6*(sqrt(128) + sqrt(128)*-2)) + 0.\nAnswer: -sqrt(19)\/68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**3 + 2*d**3 - d**3 + (2*d + 0*d + 0*d)*(0 - d**2 + 0) - 5 + 4*d**3 + 795*d - 795*d.\nAnswer: 3*d**3 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 1, -2, -33, -4, 4 in increasing order.\nAnswer: -33, -29, -4, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -298 divided by -40\nAnswer: 149\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*f - 9 - 825 - 274 - 572 = 0 for f.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - 7*b - 8. Let y be m(8). Let o be (y - 0) + -4 + 11. What is the highest common factor of 1 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from gvsvguvuhvu.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 80291, 79905, 79257, 78347, 77175?\n\"Answer: -131*v**2 + 7*v + 80415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -743479048*m**3*s**2 - 50*m**2*s**2 + 5611*m**2 - m - s**2 + s + 5 wrt m?\nAnswer: -4460874288*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10654?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2 = j + 18, 0 = -j - 3*h + 8. Let i(k) be the third derivative of k**5\/60 + k**4\/8 + k**3\/2 - 11*k**2 + 1. Calculate i(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 89, 87, 75, 47, -3, -81, -193, -345?\n\"Answer: -j**3 + j**2 + 2*j + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 1124*v + 92220. Calculate l(-82).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -26\/17 (c) -1 (d) 8\/53 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 838269118 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v**3 - 7*v**2 - v + 34. What is the remainder when w(7) is divided by 119?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -2*i**3\/3 + 75*i**2\/2 + 22*i - 176. Let l be n(38). Put -3, 4, l, -2 in decreasing order.\nAnswer: 4, -2, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1015\/12 or 85?\nAnswer: 1015\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -572.9 times 0.1\nAnswer: -57.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*n**2 + 0)*(3*n - 2*n + n) + n**3 - 3*n**3 + 0*n**3 + (1 + n - 1)*(-2 + 2 + n**2) - 2*n**3 + n**2 - n**2.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 12:08 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 - 9*q + 2. Let v be c(-8). Let m(z) = -z + 4. Let l be m(v). Let p(g) = -g**3 - 6*g**2 - 5*g - 3. Is p(l) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16 and -30?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 222324 + 4d?\nAnswer: 222373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 5 - 17) + 44 - (1 - 7)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 5*o**3 - o**2 + 3*o + 2. Let g(w) = w**3 - w. Calculate -3*g(f) - y(f).\nAnswer: -8*f**3 + f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of w**3\/2 - 37*w**2\/2 - 37*w. Is o(25) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1000 - 642?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3825178703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (3*(-1 + (1 + sqrt(1216) + sqrt(1216) - sqrt(1216)) - (2 + sqrt(1216))*5))**2 + 5.\nAnswer: 5760*sqrt(19) + 176006","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 72*u**3 + 82*u**3 + 2*u**2 + u**2 to n*u**3 + p*u**2 + a*u + v and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 275066978*k + 29529902 wrt k.\nAnswer: 275066978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 890.\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0141229623 to five dps.\nAnswer: 0.01412","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (372\/748*17 - (-6)\/11)*1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 42815*n**2 - 3*n**4 + 2*n**4 - 2 + 4*n**3 - 42818*n**2 + 3*n in the form w + x*n + u*n**4 + t*n**3 + l*n**2 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*t + 54*t - 31*t.\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76311.\nAnswer: 3, 61, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/1370 and 27\/1096?\nAnswer: 5480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 629951 and 124?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 164 = -170. Let w be (13 + -14)*(3 + -1) + -2. Sort -7, d, w in increasing order.\nAnswer: -7, w, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 + 2)*((2 + 3 + 9)*(-2*j - j + 4*j) + (1 - 5 + 2)*(-1 + 1 + j)) as m*j + z and give m.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - ((-62 - -21) + -52 + -7)?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10176059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 765 and 680?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g. Let m be z(-4). Let y = m - -2. Suppose 4*s + s + 5 = 0. Which is bigger: y or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08389840789 to 3 decimal places.\nAnswer: 0.084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*m**2 - m + m)*((-m - m + m)*(-5 - 1 + 4) - 7*m + 2*m + 2*m).\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + 20\/16)*-8. Let d be 25\/(-2)*o\/30. Let v = -7 + 12. Sort d, -1\/2, v in increasing order.\nAnswer: d, -1\/2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/(sqrt(10)*-1) + (sqrt(7) + -1)*5 - (sqrt(175) - (sqrt(175) - (sqrt(175) + 2 + 5)))**2.\nAnswer: -229 - 66*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 88\nAnswer: -1\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s + 28. Let u be g(-4). Let b be 445\/(-2)*u*(-10)\/100. Which is smaller: b or 357?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1265 and 743843.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26.9 - -26.5. Let v = -1 + 0.8. Which is the nearest to 0.2? (a) o (b) v (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.276538 and -459.\nAnswer: 126.930942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1638 times -0.2?\nAnswer: 327.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.302 < -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t**2 - 2*t**2 + 3408*t - 4 - 3412*t. Suppose 0 = -9*m + 4*m + 25. Give p(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 15*a + 945000 = 0. Round a to the nearest 10000.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 96*s**4 - 2448*s.\nAnswer: 1152*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**4 + 15*g**3 - 29*g**2 + 21*g - 8. Let r(v) = -4*v**4 + 29*v**3 - 57*v**2 + 43*v - 16. Let u(j) = 5*l(j) - 3*r(j). Factor u(n).\nAnswer: 2*(n - 2)**2*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d + 32. Let a be p(-14). Let y(o) be the third derivative of 0 + 0*o + 2\/3*o**3 - 3*o**2 - 1\/30*o**5 + 0*o**a. Differentiate y(f) wrt f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*s + 7*s**2 + 11*s - 43*s**2 + 4*s**2 + 2*s + 15*s**2.\nAnswer: -17*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -16*y**2 - 4*y. Let n(z) = 3*z**2 + z. Let r = 180 + -191. Calculate r*n(l) - 2*s(l).\nAnswer: -l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*(-4)\/6*18\/12. Let v(p) = -8 - 3*p**q - 6 - p + 15 - p**3 + 0*p. Determine v(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54206680 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.04 (b) -5\/6 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -d. Suppose -2*c - c - c = d. Let r = 7 + -5. Sort r, -1, c.\nAnswer: -1, c, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -7315?\nAnswer: 731a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 109.0293 millennia to years.\nAnswer: 109029.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of 15*z**4\/4 + z**3 + 16. Find the third derivative of y(s) wrt s.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 938838 - 938838 + 2*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1772 is divided by 124.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 2*g**2 - 2*g + 2. Let y be (-22)\/(-8) + (-33)\/44. Let a be r(y). Let c be ((-6)\/9)\/(8\/(-156)). Which is smaller: a or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = -2*c - 20. Let v = c - 23. Is v\/(-1) + 3 + -2 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = r + 5*h - h, h = -2*r - 2 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -54 + 80. Suppose 5*q - 145 = -3*a, -243*q + a + 99 = -239*q. Let m(b) = p + 6*b - q. Let s(u) = u. Give s(m(d)).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*a = 18*a + 336 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49335 and 82580355?\nAnswer: 2145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5394 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 113398 and 826.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78106 is divided by 39015?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44429.\nAnswer: 7, 11, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 31\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 6675.2\nAnswer: -20025.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 11:25 AM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -95509 - -96974.01. What is d rounded to the nearest 10?\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5969, -5963, -5957?\nAnswer: -5951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 52 + -782\/15. Let k = -15623\/9 + 1736. Which is the nearest to 0.4? (a) -1\/3 (b) k (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82389 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-66)\/(-110) + 82\/5. Solve -v*x = -19*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - 0 - (-46 + 58).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/12570 - 408493\/402240. Find the common denominator of 29\/44 and n.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5b (base 14) to base 11.\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2441107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 732899261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 3:43 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*d, -d - 153622 - 79197 = -2*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2235*h = -1942*h - 1465 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1795, 1817, 1869, 1963, 2111, 2325, 2617, 2999?\nAnswer: 3483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/4 and -51\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 7:32 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 12*b**2 + b + 21. Let t be u(-12). Let l be 2\/(-6)*(0 - t). What is the second derivative of 74*f**3 - f - 38*f**l - 36*f**3 + 10*f**4 wrt f?\nAnswer: 120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**0)\/c*c)**(-1\/30))**(-1\/2)*(c**14\/(c\/(c*c**(-1\/5))))**(3\/14) assuming c is positive.\nAnswer: c**(1249\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 104461?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5522.590962 rounded to the nearest 10?\nAnswer: -5520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 1)*(11 - 5*u - 11) + 7*u - 3*u - u.\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -50, -54, -62, -74?\n\"Answer: -2*x**2 + 2*x - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.45 - -0.11. Let u = 0.336 + -0.066. Let m = u + j. Round m to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 + 13*n + 6. Suppose 4*s + 17 - 213 = 0. Suppose -3*l - c - 4*c = -s, 5*l - 73 = -4*c. What is the smallest common multiple of 6 and h(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**5 - 510*o**4 + 505*o**3.\nAnswer: 5*o**3*(o - 101)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3374032.\nAnswer: 2, 61, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12712, 12710, 12708?\nAnswer: 12706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 6. Let y(q) = q + 7. Let n be y(-9). Let t be 7\/n + 2\/(-4). Sort t, v, 0.1.\nAnswer: t, 0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 12 = -0, -4*q = -k - 11. Let d(v) = -v - 1. Calculate the least common multiple of d(-25) and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 165283 and 1818113.\nAnswer: 1818113","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 79108 - 142108. Round d to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 108 = -4*h, -3*h - s = 18 - 86. Suppose 0 = 4*n - 0*n - h. What is the smallest common multiple of 9 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + j**2 + 4*j + 8. Let f be a(0). Suppose 0 = f*x + 45*x - 43195. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -226*-0.7\nAnswer: 158.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -1 - (-6 - -5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -523*b**2*w**3 + 13*b**2*w + 1901*b*w**4 + 271830*b*w wrt w.\nAnswer: -3138*b**2*w + 22812*b*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*f = 92*f + 200 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4*r + 4*x = -44, 0 = -2*r - 3*x + 1. Let s = r - 8. Suppose -3*k = -s*k - 6. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -10*(-15)\/(-36) - 3. Let g = h + 7. Let k be 2*3\/(-42)*1. Which is the third smallest value? (a) k (b) g (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 763.\nAnswer: 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*u = 157*u - 240 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of -k**6\/360 - k**5\/30 + 5*k**4\/24 - k**3\/2 + 5*k**2. Let o(n) be the first derivative of x(n). What is o(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94.41819 months to decades.\nAnswer: 0.78681825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 5, -11, -0.04, -1\/82?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i*(i**3*i*i)\/i*i))**(2\/15) assuming i is positive.\nAnswer: i**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 2*t - 56, -7 = q - t - 0*t. Let v be 7\/20 - 4\/q. Let b = 3\/140588 + -281209\/1546468. What is the smallest value in 3\/7, v, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*b + 5. Suppose -b*m + 12 = 3*i + 3, 0 = 4*i - 2*m - 34. Let q = -7 - -12. Solve 5*p = -i*z + 4*z + 20, 3*p - q*z - 12 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p - 1. Let l be f(-6). Calculate the highest common factor of l and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.7 + 2.6. Let w = -165.71 + 166.01. Which is the smallest value? (a) w (b) 1\/2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + 24\/9 - 28\/(-3). Calculate the greatest common divisor of 18 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3117126*m**5 + 3*m**3 + 39379*m - 226 wrt m?\nAnswer: -62342520*m**3 + 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 3:17 PM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 30cb - -4?\nAnswer: 3102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -76 + 95. Suppose 0*z + 6 = 3*z. Suppose -z*a + 4*a = 74. Calculate the remainder when a is divided by f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -5*b**3\/4 - 145*b**2\/4 + 615*b\/2 - 270 = 0.\nAnswer: -36, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 4. Suppose 0 = 6*w - 20*w - 14 + 84. Solve -w*r = -q*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 118 + 10. What is the units digit of (-8)\/(-12)*g\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjd. What is prob of sequence jjj?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 903?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 11. Let g be 1\/8 - 440\/(-1600). Let f = 0.06 + 0.04. Put 1, g, f, r in decreasing order.\nAnswer: 1, g, f, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58 - (-25 + -3) - 182?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -411 = -a + 3*r + 2*r, 0 = -a - r + 381. Let w = 11 - 6. Suppose a + 264 = w*p. List the prime factors of p.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6112666433 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 223 - 135. Let x = 566732126.0000067 - 566732038. Let s = x - z. Round s to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -114 + 2432?\nAnswer: 2313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*g - 2*g - 4*g)*(-1 - 3 + 11)*(2 - 4 + 4).\nAnswer: 14*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 79 times -16.3525?\nAnswer: -1291.8475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22\/13 - 193\/91. Let p = 28 + -36.6. Let n = 9 + p. Sort r, -5, n.\nAnswer: -5, r, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/((-6 - -1)*(-98)\/(-294)))\/25?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3.8, 1, -1494\/23?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 120551, 241102, 361653, 482204, 602755?\nAnswer: 723306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 331262?\nAnswer: 2, 17, 9743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 2) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4766.\nAnswer: 2, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 73 or -0.0433?\nAnswer: -0.0433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b - -113a8?\nAnswer: 1139c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6071 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: Does 14 divide 12326336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -5*j + 221. Let z = 719 - 712. Does 13 divide k(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4350 and 9869.7.\nAnswer: -42933195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6629 (base 10) in base 6?\nAnswer: 50405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -1269*c - 8873. Calculate n(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -11606*l + 1160592. What is d(100)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 115 and 366735?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25725269.\nAnswer: 83, 281, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4800 + 6776. What are the prime factors of m?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 6*w - 4. Let y be m(6). Let f(z) = z**2 + 5*z. What is f(y)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2262 and 2.628?\nAnswer: -5944.536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 404\/505*(-345)\/(-42) + -7.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -685500 to the nearest 10000.\nAnswer: -690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 303744633?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6455.00046995 - 6455. What is x rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkt when three letters picked without replacement from {k: 2, t: 9}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00014055088 to 5 decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 64840*d**2*l**4 - 329*d**2*l + 1112894*d**2 + 20 wrt l?\nAnswer: 259360*d**2*l**3 - 329*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 22. Let y(f) = 17*f + 23*f**2 - 2*f**2 - 5*f - 5*f - 8*f. Let t(v) = -2*v**2. Calculate d*t(a) + 2*y(a).\nAnswer: -2*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r - 6. Let t be g(-5). Suppose o = 4*o + 4*d - 35, 0 = o + 5*d - 30. Does 18 divide (42\/(-10))\/(t\/o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/7)\/c*c**(-7)*c)**16)**(-9) assuming c is positive.\nAnswer: c**(7344\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 6*w = 4*w - 162, -4*s = w - 304. Let l = 233\/3 - s. Put 5, l, 1 in ascending order.\nAnswer: l, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lu when two letters picked without replacement from {u: 1, q: 4, l: 1, m: 4}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 62586943 and 25345?\nAnswer: 5069","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 - 27. Suppose -3*j + 0*l - l + 78 = p, -5*l = 0. Let t = 113 + j. Does 38 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/6)\/(((-18242)\/(-45605))\/(841\/(-5) + -1))?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((v + 3*v - 3*v)*(-7 - 63 + 18) + 4*v + 2 - 2)*(2*v + 2*v - 6*v) in the form s*v + b + p*v**2 and give p.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 626 and 224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -41278*m**4 - 444*m**3 - 124513501 wrt m?\nAnswer: -165112*m**3 - 1332*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p**(-7)\/p))\/(p*p*p**3)*p\/(p\/(p\/p**(5\/7)))*p\/((p*p**1\/p)\/p) assuming p is positive.\nAnswer: p**(44\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 277333210.\nAnswer: 2, 5, 7, 11, 137, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (132 + 386 + 1585 - 675)*(-2*k + k + 4*k).\nAnswer: 4284*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 g when four letters picked without replacement from eggrgeg?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 + -19. Solve -n*b**2 + 35*b**2 + 8*b - 21*b**2 + 4 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**0)**10*g**(-1\/4)\/((g*g**(2\/7)\/g)\/g))**(-36) assuming g is positive.\nAnswer: g**(-117\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (340\/(-29070))\/(-2*8\/(-17736)) - -13?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-20)*16\/104?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five quarters of a millennium in decades?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -42*i + 88*i + 59*i in the form s + m*i and give m.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 211704 and 624.\nAnswer: 5504304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2060*u + 8*s = -2063*u - 23, -u = s + 6 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000183752 rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + q. Let j = -16.3 - -17.2. What is the nearest to q in -1, 0.1, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628894 to the power of 1\/2, to the nearest integer?\nAnswer: 793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2837?\nAnswer: 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2677346 is divided by 669279?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29879530 to the nearest integer?\nAnswer: 5466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -94 + 114. What is the second derivative of 5*m**3 - 38*m - m**3 - s*m**2 - 5*m**3 wrt m?\nAnswer: -6*m - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/4 + (-69)\/6. Let j(w) = -12*w**2 - 2*w - 2*w + 13800 - w**3 - 13796. List the prime factors of j(r).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -141823 - 5?\nAnswer: -141828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -5*d + 2186 + 566, 4*l = 4*d + 2752. What are the prime factors of l?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 4)\/(4\/(-4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 3*f = 36, 5*f + 26 = 6. Suppose 2*w + 27 = -y, 3*w + 60 = -2*w - 4*y. Is q at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -2*j**3\/3 - 3*j**2 + 2*j. Suppose -2*f - 3 - 5 = 0. What are the prime factors of t(f)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8591, -8723, -8863, -9017, -9191?\nAnswer: -9391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is bd8 - -83?\nAnswer: c7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 7*y - 5. Let n be c(-5). Let v = -25 - n. What is the greatest common divisor of v and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 + 34 + 2*y - 64.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 165997*z + 3. Let i be u(1). What is i rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -21*p**2 + 15*p + 24. Let s(g) be the first derivative of -g**3\/3 + g**2\/2 + g + 4. Let b(z) = 18*s(z) - u(z). Find t such that b(t) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.6 less than 335797?\nAnswer: 335807.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 57390661093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1078849 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + w = -3*w - 8, -2*l + w = 5. Let r be (-344)\/(-72) + 4\/18. Suppose 5*v = -x + 2 + 16, 0 = 2*x - 2*v. Put l, r, x in descending order.\nAnswer: r, x, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 142 + 848. Is 45 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.7? (a) 1 (b) -3 (c) 5 (d) 0.54\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -17*s + 31. Let l be g(7). Let y be (96\/40)\/(l\/(-20)). Let 6\/11*k + 2\/11 + 2\/11*k**3 + y*k**2 = 0. Calculate k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/3 (b) -1\/25 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, f: 2, c: 2, q: 8}. Give prob of picking 1 q and 1 c.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*j**4 + 27315*j**3 - j**2 + 181*j - 214 wrt j.\nAnswer: -108*j**2 + 163890*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -64886, -259787, -584620, -1039385, -1624082?\n\"Answer: -64966*t**2 - 3*t + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 r when three letters picked without replacement from rrrxrxrrxrrr.\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 10 = 3*n + d, -3*d = -3*n + 18 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*w + 27894 = -5559. Let k = 2732 + w. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 8*q = q. Suppose q = -7*f + 24 - 10. Sort 0, 1, f, 5 in ascending order.\nAnswer: 0, 1, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -169.598 - -170. Let m = 0.702 - r. Let w = -2.5 - -2. What is the second smallest value in 0.2, m, w?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43\/25 + -11\/50. Sort -2\/17, 13, 3, k in ascending order.\nAnswer: -2\/17, k, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36\/133 - 16\/19. Which is the biggest value? (a) -5 (b) f (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 7*w**3 - 4*w**2 - 4*w - 4. Let g(q) = 14*q**3 - 9*q**2 - 9*q - 9. Let j be 192\/21 - (5\/35 + 0). Determine j*m(t) - 4*g(t).\nAnswer: 7*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - 9*z**2 + 9*z + 6. Determine s(7).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 57*g = 55*g - 23882, -16 = -4*g. What are the prime factors of a?\nAnswer: 2, 5, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 9*n + 3. Let g(f) = 27*f + 10. Suppose 3*y + 0*j = -5*j + 21, 3*y - 4*j + 6 = 0. Let a(k) = y*g(k) - 7*t(k). Is a(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16.3 - -19.7. Let d = k + -73.4. Which is the third biggest value? (a) -2 (b) 1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z**3 + 2*z**2 - 3*z. Let r be n(2). Let h = r + 5. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) 2\/5 (c) -2 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 1 - 1)*(48*j - 118*j + 26*j).\nAnswer: -44*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 6:32 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -100 - (53 + -102) - -59?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27693 is divided by 52?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -5*s - 42, -5*d - 37 = -4*s - 108. Let t(i) = i + 4*i**2 + 17 - d - 4. Calculate the remainder when 59 is divided by t(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3704, 7388, 11058, 14708, 18332, 21924, 25478, 28988?\nAnswer: 32448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + sqrt(57)\/(sqrt(9)\/sqrt(3)) + sqrt(171) + -3 + sqrt(19))**2.\nAnswer: -36*sqrt(19) + 693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 12:13 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, b: 2, p: 11}. 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 s = 8 + -2. Which is the smallest value? (a) s (b) -0.4 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/600 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 7*z**2 + 7*z - 3. Let k be i(6). Suppose 436 = a + k*a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 824783 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1396\/6*(-126)\/(-84). Let j = d - 96. Is 10 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1168 * -0.4.\nAnswer: 0.04672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 438aa (base 13) to base 14.\nAnswer: 32819","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34020 (base 5) to base 3.\nAnswer: -10021100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/9)\/((-26)\/78).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, -1, -2, 67.\nAnswer: -48, -2, -1, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 530111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 878882 to the power of 1\/2, to the nearest integer?\nAnswer: 937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -379, -354, -341, -346, -375, -434, -529?\n\"Answer: -a**3 + 32*a - 410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14127 - -42017. List the prime factors of v.\nAnswer: 2, 5, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 - 18. Let z = 0 + c. Solve -2*g + 28 = -5*f, z*f + 5*g + 1 = 9 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -7*o**3 - 6*o**2 + 70*o + 170. What is k(-3)?\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -3*k**2 - 6*k - 11. Let d(m) = m + 1. Let z = 9 + -12. Calculate z*t(a) - 16*d(a).\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -2*r**2\/15 - 1816*r\/15 + 1822\/5 = 0.\nAnswer: -911, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2*i + 10 = 0, -m - 13 = -3*i - 2. Calculate the lowest common multiple of 5 and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30468152.\nAnswer: 2, 11, 13, 26633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (6 - 0)\/(13\/351)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421515368 to the power of 1\/2, to the nearest integer?\nAnswer: 20531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnnn when four letters picked without replacement from nnnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 68 + -67.6. Let v = 9 + -4. What is the second smallest value in -2, l, v?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two ninths of a week?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -be40 (base 16) to base 13.\nAnswer: -19226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 4*x + 4 = 0, -7*s + x - 12 = -5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*j - 180 - 29. Let p(f) = 16*f + 1. Let w(a) = -30*a - 2. Let d(x) = j*p(x) - 6*w(x). Calculate d(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5219779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -960555 to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 - (4 + -5 - 25). Suppose -2*n + o = -n. What is the lowest common multiple of n and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 4, -4*l = -5*l - 3*i + 104. Calculate the greatest common divisor of l and 203.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 519064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 589, 86, 5, -3 in increasing order.\nAnswer: -3, 5, 86, 589","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.06 (b) 1\/2 (c) -3 (d) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 235 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 76.7 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 3 - 3)*(-2*b + 2*b - 2*b)*(-8*b**3 + 19*b - 19*b) + 23*b**5 - 6*b**5 + 7*b**5.\nAnswer: 40*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 28 = 7*y. Let d be y\/13 + (-201)\/39. Which is the closest to 0? (a) -1\/2 (b) -1.4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -18*v**2 + 331*v - 2210. Give a(7).\nAnswer: -775","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 118027, 118026, 118025?\n\"Answer: -r + 118028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -76*d**4 - 20*d**3 - 20*d - 48. Let k(f) = 11*f**4 + 3*f**3 + 3*f + 7. Let b(j) = 20*k(j) + 3*v(j). What is the derivative of b(l) wrt l?\nAnswer: -32*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -11, 3, 8 in ascending order.\nAnswer: -11, 2, 3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 1813*m - 23584. Give u(13).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -45 - 36 + 123 - 42 + 514*t. Let i(y) = -y. Give l(i(m)).\nAnswer: -514*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + c**2 + c. Let i be -13 - (20\/(-4))\/5. Let d = 18 + i. Let y(j) = 10*j**3 + 6*j**2 + 6*j. Give d*l(b) - y(b).\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 11*j**2 - 4*j + 3. Let f(o) = o**3 - 10*o**2 - 10*o - 1. What is the remainder when x(2) is divided by f(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20946 - 20945.9996825. Round z to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5*(sqrt(117) + sqrt(117)*2))\/(sqrt(9) + (sqrt(9) - sqrt(144)*-2 - sqrt(9)) - sqrt(9)).\nAnswer: 45*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 331\/7 + 8\/(-28). Let w = -25 + r. Suppose -2*o + 5*j = -w, -7*o = -2*o - 3*j - 36. Is o a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3655580.\nAnswer: 2, 5, 182779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2 + (1*sqrt(180))\/sqrt(4)))**2 - (sqrt(20)\/(-2*sqrt(16)\/sqrt(4) - sqrt(4)) - ((sqrt(120)\/sqrt(2))\/sqrt(12) - sqrt(20)\/sqrt(36))**2).\nAnswer: -575*sqrt(5)\/3 + 7076\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 772161 and 338.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/3 + -1)*1. Let a(v) = -16*v**2 + 10*v**3 - 14*v**2 + 29*v**2 - 11*v**3 - 3*v - 2. What is a(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -7. Calculate the remainder when 12 is divided by h*((-14)\/3)\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = j - 5, -16*b - 4*j + 20 = -11*b. Suppose 4*f + 4*x = -12 + 52, -5*f + 4*x + 41 = b. Is f at least as big as 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5409 + -5420. What is the closest to 0 in 14, -0.1, 4, x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/49143103 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in sixty-one quarters of a century?\nAnswer: 18300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 4:40 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 y when three letters picked without replacement from {v: 1, y: 3, o: 3}.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 663 is divided by 47.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6688921796 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 2, 2428.95, -1\/6, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 1 - 3 + 298*a - 289*a - 1 + 7. What is i(-5)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + d + 6. Let c(y) = -y**2 - 1. Let g(p) = 3*c(p) + h(p). Let v be g(-3). Suppose 4*q - 3*q - 1 = v. Solve 0 = z + q - 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 19*x**3 + 171*x**2 + 2*x + 25. Calculate c(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*q + 91 = -3*m + 144*q, -37 = 3*m - 5*q for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 872.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 5, -4, -102, 4, -6 in ascending order.\nAnswer: -102, -18, -6, -4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w*w\/(w**(2\/15)*w)*w)*w\/(w**(6\/11)\/w))\/((w**(2\/11)*w*w*w*w)\/w**(-2\/21)))**(1\/3))**9 assuming w is positive.\nAnswer: w**(-4261\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*t**5 - 10*t**5 - 20*t**5 - t - t**5 + t + (-2*t**5 + 3*t**5 + 4*t**5)*(-1 + 1 - 1) + t**5 + 2*t**5 - 5*t**5.\nAnswer: -45*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/(-6) + (-2)\/(-6). Suppose x*o = 4*o - 3*f - 949, 939 = 2*o - f. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57792 divided by -3?\nAnswer: -19264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o. Let k be d(2). Suppose 0 = 2*t + v + v - 42, -3*t - k*v = -62. Suppose -g - 5 = -t. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103 divided by -1.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -13. Let w(f) = -f**3 + 8*f**2 + 3*f - 3. Let o be w(j). Let r = o - -104. What are the prime factors of r?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3*-1*sqrt(245) + sqrt(245))**2 - ((sqrt(125) + 1)**2 - (0 + sqrt(80))**2).\nAnswer: -10*sqrt(5) + 3869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 86970*r**6 - r**5 - 37080*r**2.\nAnswer: 10436400*r**3 - 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -214*d**3\/9 + 3354*d**2 - 188*d.\nAnswer: -2*d*(d - 141)*(107*d - 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 4.697 and -1901060.6807.\nAnswer: -1901055.9837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 33\/(-18) - (-6)\/(-36). Let c be (-4)\/(2*g\/8). Solve v - c = 5*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01806 to three decimal places.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -63 + -26621?\nAnswer: -30014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3*p + 49. Let r be c(0). Suppose 0 = -5*h + 4*w + 55, 4*h + 5 = -4*w + r. Find the third derivative of 118*l**2 + 0 - h*l**5 + 0 - 110*l**2 wrt l.\nAnswer: -660*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -238 divided by -4\nAnswer: 119\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fifty-one fifths of a minute?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (-21)\/(336\/128)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 35*h - 3947. Let g be o(118). Solve g + 72 = 51*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -133.76121 to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 62*a**2 - 75*a - 739. Let n = -52 - -186. What is the remainder when n is divided by j(-63)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4368\/540)\/52)\/((198\/(-45))\/11).\nAnswer: -7\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5314.6 and 0.086.\nAnswer: 457.0556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 143703 to the power of 1\/2, to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -3, 8554, -1 in descending order.\nAnswer: 8554, 16, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5.8 in 0.1, 8, 4.49, 3, 1\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = s, 0 = 2*s - s - 2*x + 4. Factor 165*h**2 - 73*h**3 + 143*h**3 - 2 - 560*h + 322 + 5*h**s.\nAnswer: 5*(h - 1)**2*(h + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1079 (base 10) to base 3\nAnswer: 1110222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129*a**2 + 25*a**2 + 48*a**2 + 49*a**2 + 37*a**2.\nAnswer: 30*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -79545\/22 + 3615. Let c = z - -271\/462. Sort -2, -3\/16, c in decreasing order.\nAnswer: c, -3\/16, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 623695 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16506.1 - -16506. What is the fifth biggest value in -3\/7, n, 21, 2, 1\/5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31056074.\nAnswer: 2, 7, 601, 3691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(75) - (sqrt(75) + sqrt(75) + 1*sqrt(75)*-5) - (-2 + sqrt(75) + 1)**2.\nAnswer: -76 + 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(140)\/sqrt(7) - (sqrt(80) + -1)**2.\nAnswer: -81 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 6*h**2 + 7*h - 22. Let x be g(-3). Let j be 62\/6 + (-6)\/(-9). What is the greatest common divisor of x and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 37\/2 of a decade?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 38127 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.29*11.53.\nAnswer: 3.3437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 46 + -43. Differentiate o - 7*s**3 - 10 + 2 - 5 with respect to s.\nAnswer: -21*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 864, 876, 878, 870, 852?\nAnswer: 824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 11:53 AM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/((-2)\/(-10)) + (11 - -1). Let g(l) = -338*l + l**2 - 2*l**2 + 347*l - 9. Give g(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -15*k**3 + 14*k**2 + 26*k + 50. Let o(p) = 5*p**3 - 5*p**2 - 9*p - 16. Let n(v) = 7*o(v) + 2*r(v). Is n(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*219\/24 + 39*3\/(-9).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*g**2 + 2859*g + 14977 with respect to g.\nAnswer: -6*g + 2859","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 33552659?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*p - 17 = 0, 4*i = 5*p + 23 + 9. Suppose -23*j + 8 = h - 25*j, -5*h + j = -22. Let g(y) = -2*y - 1 - i + h. Let t(v) = 5*v**2. Determine t(g(c)).\nAnswer: 20*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -13*n**2 - 19*n - 7. Let r(g) = -6*g**2 - 9*g - 4. Suppose -3*j = -j - 8. Let v(s) = j*m(s) - 9*r(s). What are the prime factors of v(-6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(135\/10)\/9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 4) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 251, 500, 751, 1004?\nAnswer: 1259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 41316371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/60 and -163\/32844?\nAnswer: 164220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -3280 less than -3280?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -1.3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ptnp when four letters picked without replacement from pthntptnppttn?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3350 - 1577. Is 15 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than 122455020?\nAnswer: 122455025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - (-9)\/(-3) - -30. Suppose 2*k = m + 3. Solve -g + k + 2 = 5*w, 0 = -g - 2*w + 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12956 and 799796?\nAnswer: 32791636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does -353 = -28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -157, -2\/21, 0.1, 0.4, -7?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) 9 (c) -0.1 (d) -0.2 (e) 101\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11011 (base 2) in base 15?\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 4)*(1 - 7 + 4)*(2 - 6 - 2)*(2 + 7*n - 2 + 4*n + 4*n - n + (1 + 2 - 4)*(0*n - 2*n + 3*n) + 4*n - n - 5*n).\nAnswer: -528*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 + -18. Let v = j - 0.3. Suppose -i = 3*i. Which is the third smallest value? (a) 4\/9 (b) i (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 336523 or 336602?\nAnswer: 336602","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*z**2 - 16*z - 3*z**2 + 2*z**2 + 5*z**2.\nAnswer: 20*z**2 - 16*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 3 = 3. Suppose 0 = f - 10 - 1. Suppose 5*a + f - 46 = n. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 107, 218, 403, 662, 995, 1402, 1883?\n\"Answer: 37*o**2 + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255 is divided by 68?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -7 + 3 - 53*n + 4 + 50*n. Let r(f) be the first derivative of f**4\/12 + f**2\/2 + 3. Let g(t) be the second derivative of r(t). Calculate l(g(c)).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/((-897)\/(-1150)))\/5?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35 and 2155220?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 31 in -3, 0.1, 2, 138, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + 8*d**2 + 6*d + 10. Let c be o(-5). Let t = -210 + c. What is the remainder when t is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - p + 2. Let q be a(2). Let y = -267 + 261. What is the units digit of y*q*1\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -3*d**2 - 209*d - 3. What is the remainder when w(-69) is divided by 104\/3 - (-2)\/(-3)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101 (base 4) to base 12.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x - 22. Let q be m(-12). Let k(j) = j**2 + j + 1. Let n be k(-3). Let v be n\/3 - q\/(-3). Which is greater: v or -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - ((46 - (-17 - (1 + 0))) + (-1 - 8))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 27, 46, 65, 84, 103?\n\"Answer: 19*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1484*o - 1974*o + 229*o**3 + 0*o**2 - o**2 + 1217*o wrt o?\nAnswer: 1374*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47213 is divided by 9438.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(3\/2)\/(d\/(d*d*d**13)*d))\/(((d*d*d**(-16\/7))\/d)\/(d*d**22)) assuming d is positive.\nAnswer: d**(543\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 - 22?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 3:45 PM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 26495939*l + 20666944 wrt l?\nAnswer: 26495939","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o**2 + 10*o. Let d(t) = -18*t**2 - 53*t - 1. Let x(v) = -2*d(v) - 11*f(v). What is x(5)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 12 = 316*g - 312*g, 0 = 4*s + 26*g - 24 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -49855, -199352, -448513, -797344, -1245851?\n\"Answer: -f**3 - 49826*f**2 - 12*f - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 9*w + 16. Let h be m(7). What is the third derivative of -4*c**4 - 896 + 51*c - c**h + 896 - 11*c**6 + c wrt c?\nAnswer: -1320*c**3 - 96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d**3 - 8*d**2 + 8*d - 9. Let b(k) = -k**3. Let l(f) = -2*b(f) - i(f). Is l(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*y**5 + 15*y**4 - 125*y**3 + 5*y**2 - 1581*y?\nAnswer: 120*y**2 + 360*y - 750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f + 12. Let g be r(-16). Let k be -1 + ((-4)\/4 - g). Suppose -5*p + 2*w = -682, -256 = -2*p + 7*w - k*w. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.8? (a) 0 (b) -2\/3 (c) -0.5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -c**3*m - 262*c**3 + 12*c**2*m wrt m.\nAnswer: -c**3 + 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-2\/9)*j**5*j*j)\/(j*j**(2\/5))**(-10))\/((j**5\/j)\/j**1*(j*j**(-1\/3))\/j**(1\/2)) assuming j is positive.\nAnswer: j**(343\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -47 (b) -3\/16 (c) -137 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/108 and -89\/60.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 45361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3206 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 221 + -214. Suppose 47 = -4*m - 1. Let y = m + 89. What is the greatest common factor of t and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - -10) + -3 - (-2 - -8 - 6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -928281512 * 4.\nAnswer: -3713126048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1127 (base 11) in base 4?\nAnswer: 113021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3\/4, -1, 17, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 38*g + 61*g + 70*g to the form w + h*g and give h.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 15 = q, 0*v = 2*v - 2*q - 10. Suppose -6*u = -v*p - u - 39, 5*p + 42 = 4*u. Let c(g) = -g - 6. Calculate c(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2\/11)*x*x**(1\/16)*x*x\/((x\/(x\/x**(-10)))\/x*x)*x**(-2\/7) assuming x is positive.\nAnswer: x**(15517\/1232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 1. Let u be 2\/6 + (-548)\/(-3). Suppose 2*i + a*s + 3*s - u = 0, -232 = -3*i + 4*s. Calculate the greatest common divisor of i and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 8*x - 5. Let g(j) = j. Let c(y) = 6*g(y) - l(y). Let t be c(0). Solve 3*a + 3*s + 15 = 0, -t*s + 2 = 7 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37059117 is divided by 324.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67115.\nAnswer: 5, 31, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of j*l*q**3 + 3*j*l*q**2 + 1207*j*l*q - 5*j*q**2 - 40*q**3 + 35*q**2 wrt l?\nAnswer: j*q**3 + 3*j*q**2 + 1207*j*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 11, 5, 0, -107, -597.\nAnswer: -597, -107, 0, 3, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 2*h + 4*h)*(-108*h**3 + 5*h**2 - 113*h**3 + 13*h**3).\nAnswer: -1040*h**4 + 25*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -11330?\nAnswer: -11330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2967 and 41535033?\nAnswer: 2967","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 + 134 = 123*p - 140. Let o(n) = -n**3 - 6*n**2 + 4. Let x be o(-6). What is the greatest common factor of x and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -10 + 3 + (-4 - -5). Let k be (-104)\/12*9\/l. Suppose -14*d = -k*d - 67. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yuypzu. What is prob of picking 1 y, 1 z, and 2 u?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3)\/351*(1546\/114 - 20\/(-190)) and -7\/585?\nAnswer: 1755","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1152 and 9?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and -0.09482.\nAnswer: -0.29482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3230?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 5*k + 64 - 199, -h = -k - 25. Suppose -19 = -9*w + h. Solve -w*p - 5*i - 15 = 0, 0 = 2*p - 7*p + 3*i + 25 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and -0.12.\nAnswer: 0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - 3675253.7104572.\nAnswer: -3675253.8104572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1580805 divided by 10.\nAnswer: 316161\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + t + 1. Let v(l) = 4*l**2 - 5*l - 5. Let f(o) = -5*a(o) - v(o). Let q(k) = 0*k - 2*k - 2*k. What is q(f(y))?\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (58\/261)\/((-15)\/(-9)). Put -1\/2, -1\/497, 2\/11, c in descending order.\nAnswer: 2\/11, c, -1\/497, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 25*p**4 + 5*p**3 - 7. Let k(f) = -f**4 - f**3 + 1 + 134*f**2 - 134*f**2. Let n(t) = -5*k(t) - m(t). Find the first derivative of n(q) wrt q.\nAnswer: -80*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3 - 41*v + 4*v**2 + 1 - 1 + 43*v.\nAnswer: 2*v*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -80458 + 40219 - q + 40227. Calculate z(10).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 392?\nAnswer: 1\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**4\/5 + 2054*c**3\/5 + 98131*c**2\/5 + 1292764*c\/5 + 3050652\/5 = 0. Calculate c.\nAnswer: -22, -3, 2101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 3*r - 2*l - 46, -r - 4*l = 2. Suppose 0 = r*j + 33 + 9. Which is smaller: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 1 = -28. Let y = a + -19. What is the lowest common multiple of y and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1177 - 180.1023. Let s = -412 - -234. Let j = s - y. Round j to 1 dp.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7532949?\nAnswer: 3, 19, 132157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -3787.70881 to the nearest 100.\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102333121 (base 4) to base 5.\nAnswer: 4442120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence szzz when four letters picked without replacement from {q: 7, z: 5, s: 1}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-390)\/(-715) - 40\/(-88))*15\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 0 + sqrt(180) + 3)**2.\nAnswer: 36*sqrt(5) + 189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -744 + 734 - (0 - 15).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*q**3 - 164664*q + 164664*q + 72*q**3 + 183*q**3.\nAnswer: 271*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -4*g + 10. Let s(k) = -50*k + 130. What is -3*s(r) + 40*t(r)?\nAnswer: -10*r + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -74*s**2 + 152*s**2 - 4*s**4 - 76*s**2 + 37*s to the form j*s**2 + h + l*s**4 + k*s + q*s**3 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 6 + 4 + -9 + -34 + 6?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3*y + 5*y - 6 = 0, h - 5*y = 15. Factor 25*v**5 + 27*v**h - 2*v**3 - 50*v**5.\nAnswer: 2*v**3*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48018 divided by -6\nAnswer: -8003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -25?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -z**2\/8 + 3336697*z\/8 - 3336689 = 0?\nAnswer: 8, 3336689","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7232*j**2*w + 2*j*w - 10*w + 86 wrt j.\nAnswer: 14464*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*o + 2322345 = 292331. What are the prime factors of o?\nAnswer: 2, 7, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -i + 2. Suppose -4*b + o + 5 = -0, -3*o - i = 0. Solve -4*z + 12 = -b*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u - 8*u + 0*u - 1373 + 1070 + (5 + 1 - 5)*(-u - 2 + 2) in the form l*u + d and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -28\/67993 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 3\/5 (c) 3\/7 (d) -87915 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 10 (b) 1\/18 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**3)**(-35)\/(z**14\/(z**(6\/17)\/z)) assuming z is positive.\nAnswer: z**(-2629\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (107 - 107 + 6*x**5)*(-4 + 5 - 2)*(-5 + 0 + 8) + 5*x**5 - 32*x**5 - 33*x**5.\nAnswer: -78*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -414? (a) 4 (b) -0.2 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 48, 41, 30, 15, -4, -27?\n\"Answer: -2*v**2 - v + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of 51*u**5\/20 - 11*u**4\/6 - 19*u**3\/6 - 5*u**2 - 16*u. Let w be b(-14). What is w rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70165 is divided by 258?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -13. Let u be (8\/18)\/(r\/3). Suppose -5 = -s - 0*s. Which is the closest to 0? (a) s (b) u (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3359599 minus 12581?\nAnswer: 3347018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -4 (c) 3 (d) 18\/17 (e) 71.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 458*v. Let t(c) be the second derivative of c**4\/12 - 27*c + 6. What is p(t(g))?\nAnswer: 458*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 10:27 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 8) in base 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9469191*b**2*v**3 - 42*b**2*v**2 + b**2*v - 5*b*v**6 - 2*b*v**2 + 14188*b wrt v.\nAnswer: 56815146*b**2 - 600*b*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z*z**2\/z)\/z*z**(-5\/2))**(-1\/69) assuming z is positive.\nAnswer: z**(1\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - -13 - (-1 - -1) - 3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -223*u + 440893 + 513603 = -95*u. List the prime factors of u.\nAnswer: 7457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 6*j + 3. Let x be f(-3). Solve -27 - 21 = x*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70, 202, 398, 658, 982, 1370, 1822?\nAnswer: 2338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 1912 (c) -1.2367 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a + 3*a - 4*a + (1 - 1 - a)*(-4 + 3 + 4) + (-5 - 2 - 7)*(-a - a + a) to the form v + t*a and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1124959170, 1124959169, 1124959168, 1124959167?\n\"Answer: -h + 1124959171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 2, 3, 268, -3 in increasing order.\nAnswer: -16, -3, 2, 3, 268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1011171.\nAnswer: 3, 7, 179, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1916*g**5 + 400*g - 5.\nAnswer: 38320*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4518000 rounded to the nearest one hundred thousand?\nAnswer: -4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 7. Let f = j - -8. What is the greatest common factor of 3 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20872*b + 42020*b - 20838*b.\nAnswer: 310*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2974909121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/7735024 and -101\/14162720?\nAnswer: 1005553120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*l - 58*l = -39*l + 1573 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m**5 + 6950*m**4 - 28350*m**3 - 654200*m**2 + 1365625*m - 690030 = 0. What is m?\nAnswer: -1394, -9, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16\/(-112) - (-58)\/14. Let r be q\/(-10) - 1585\/(-25). Let i = 65 - r. Solve -2*l - 4 = i*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + s + 3 = 0. Suppose -7*b + 5*b + 18 = 0. Let d = s + b. Calculate the smallest common multiple of d and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2\/9 + 67360*p + 202084.\nAnswer: -4*(p - 151563)*(p + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and -3 - (-2*13)\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 386*r - 357*r - 10208. Calculate the smallest common multiple of r and 96.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 9*u + 20. Suppose o - 6 = p, -u*o + 0*p + 4*p = -26. Suppose -5*r + 3*r - 22 = -l, l + o = -4*r. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 21, -2\/7, 0.2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (28\/35)\/(1\/(-5)*3). What is the smallest value in 1\/5, r, -6\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28514 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4384 != 43839\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4 + 0)*(2 - 2 - 2*v)*(0*v + 0*v + 2*v**2) in the form p*v**2 + h + y*v + c*v**3 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of -a**6\/1020 - 13*a**5\/510 - 10*a**4\/51 - 12*a**3\/17 + 42*a**2 + 10*a. Factor w(h).\nAnswer: -2*(h + 2)**2*(h + 9)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 8*i + 22 = 10*i, 4*r - i + 17 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of -d**5\/60 + d**4\/6 + 13*d**3\/6 - 62*d**2 - 3*d. Give v(8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 + -0.3. Let r = 1.06 + -2.06. Let j = 24 + -170\/7. Which is the closest to r? (a) j (b) -1\/2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -774*v**2 + 258*v**2 - 88607*v**3 + 258*v**2 + 258*v**2.\nAnswer: -88607*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-40)\/(-12) - 3 - (-2)\/3. Suppose 5*b = -2*p - 6, 0*p + 5*b = -5*p - 30. Let i = u - p. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d6e - -10?\nAnswer: -d5e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6516 + -2956. List the prime factors of t.\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 14*j**2 - 13*j**2 + 2*j - j - 39. Let x be h(-7). Put x, 1, 5 in decreasing order.\nAnswer: 5, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1252*i + 84*i - 2451*i to w*i + j and give w.\nAnswer: -3619","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*c*h**4 + c*h + 6*c + 3516*h**6 + 453*h**2 - h - 1 wrt h.\nAnswer: 216*c*h + 421920*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**5 - 4*g**5 + g**5 + (2*g - 1 + 1)*(0 + 0 + 2)*(g**4 + 3*g**4 - 3*g**4).\nAnswer: 3*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 8:06 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/2 (b) -3\/461 (c) -31 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -91 + 105. Let m = 7 - 3. Suppose -26 = -m*z + 6. Calculate the remainder when u is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12411?\nAnswer: 3, 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000082 to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of -h**5\/20 + h**4\/12 + h**3\/6 + h**2\/2 - 28*h. What is f(3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 7:17 PM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2. Let v(u) = -7*u**2. Let s(i) = -5*j(i) - v(i). Let t(c) be the first derivative of -16*c**3\/3 - 12. What is t(s(b))?\nAnswer: -64*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*f + 171 = 66. Calculate the lowest common multiple of f and 264.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 96*v**4 + v**3 - 4*v**2 + 320. Let g(f) = 3*f**4 - f**3 + 2*f**2. Let r(u) = -2*g(u) - q(u). Find the first derivative of r(b) wrt b.\nAnswer: -408*b**3 + 3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004292509158 to six decimal places.\nAnswer: -0.004293","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12245766 a multiple of 193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 167742, 341623, 515504?\n\"Answer: 173881*q - 6139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5837076 - 13*r - 9*r + 24*r + 5837076.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 866718, 866716, 866714?\n\"Answer: -2*q + 866720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 271447 = -5*w, -2*z = 736*w - 732*w - 135756. List the prime factors of z.\nAnswer: 2, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/4*40\/(-70). Let j = o - -2. Let 6\/5*s**4 + 6\/5*s**3 + 0 + 2\/5*s**5 + j*s + 2\/5*s**2 = 0. Calculate s.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 23*m - 571. Let t be r(-15). Which is bigger: 5\/63 or t?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 8*t**3\/3 - 5*t**2\/2 - 193*t - 137. Differentiate s(z) wrt z.\nAnswer: 16*z - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -261*d - 12*d**2 + 261*d to l*d + s + p*d**2 and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-18139)\/5335 - (-454)\/110. Let d be 6\/57 + 0 + 0. Sort d, w, 0.4 in increasing order.\nAnswer: d, 0.4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 7*m + 8. Let g be x(-8). Let r be 2*(g - -1*3). Let p = 13645 + -13641. What is the third smallest value in 0, p, -1, r?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9978499303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - -1) + 0 - -1. Suppose -97*r = -93*r - 3028. Suppose 3*z = -12, -2*a - 3*a - p*z + r = 0. Is a a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 129 - 18. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 8.3. Let t = h + 0.7. Which is the closest to -1\/4? (a) -3\/7 (b) -3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**5*j)**6)**27 assuming j is positive.\nAnswer: j**972","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 1712 = 5*o, 5*o + 68*a - 1710 = 73*a. Suppose -349*m + 210 = -o*m. Suppose 0 = 3*g - 54 - 51. What is the greatest common factor of m and g?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkjekekjjeeeeeek. What is prob of picking 2 j and 2 k?\nAnswer: 9\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 169 = 37. Calculate the smallest common multiple of 3 and n.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l - 3 = -11*l. Sort -2, l, -5.\nAnswer: -5, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 9*k**2 - 8*k. Let i(h) be the first derivative of h**4\/4 + h**3 - 9*h**2\/2 - 28*h - 87. Let m be i(-4). Give n(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16505 = 2*c - 4*z + 1481, 0 = -c + 3*z + 7515. Does 27 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 4*k - 1 + 0*k - 2*k. Let d be y(2). Suppose 3*s - 6 = v + 2, -d*v - 16 = -s. Let b(r) = -r**2 - 8*r - 7. Determine b(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81014 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(4)\/sqrt(50) - (sqrt(32)*-3 - (sqrt(162) + 0))**2.\nAnswer: -882 - sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26923911121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-19\/5))**(1\/4)\/(d\/(d*d*d**(-2\/11))*d**(-1\/34)\/d) assuming d is positive.\nAnswer: d**(3357\/3740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 5*a**2 - 2*a + 9. Let p(w) = 4*w**3 + 14*w**2 - 6*w + 28. What is -10*j(k) + 3*p(k)?\nAnswer: 2*k**3 - 8*k**2 + 2*k - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/13 + -1 + -8. Is ((-1731)\/(-4))\/(w\/(-24)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 3*r - 7. What is the remainder when n(5) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1251875473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/612 + (207655\/(-28322) - (-6)\/4)?\nAnswer: -40\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of u**6\/30 + 71*u**4\/12 + u**3\/6 - 198*u**2 + 13*u + 6. What is the second derivative of a(l) wrt l?\nAnswer: 12*l**2 + 142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*m = 9. Suppose v - 5 + 3 = 0. Let f(u) = -2*u**2 + 4*u - 3. Let g be f(v). Sort m, 0, g in decreasing order.\nAnswer: m, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*u - 163 = 0, -3*u = -5*v - u - 771. Find the common denominator of v\/(-28) + (-3)\/(-4) and 53\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 16*o + 25. Let l be k(17). Suppose 5*h - 120 = 2*x + l*h, -2*h + 60 = -x. What are the prime factors of (x\/(-21))\/((-18)\/(-1449))?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j + 1. Let i(f) be the third derivative of 0 + 31*f**2 - 1\/3*f**3 + 0*f. What is -2*i(s) - 3*u(s)?\nAnswer: -3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 15*w - 11. Calculate p(-11).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 1 - (15 + -17)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 4*c + 37. Let p(x) = -x - 9. Let r(o) = -9*p(o) - 2*y(o). What is the tens digit of r(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 433 - 307. Is a a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 4*g - 2*m - 18 + 0 = 17, -4*m = -9*g + 49 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*f**2 + 0*f**2 - 3*f**2)*(1 + 1 - 3)*(1 - 1 - f**3) + (4*f**2 - 2*f**2 - 3*f**2)*(0*f**3 + 3*f**3 - 2*f**3).\nAnswer: 6*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 6:14 PM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -511 + 243 + 268 - 2*r**2 - 176*r + 3*r**2.\nAnswer: r**2 - 176*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -114\/1153 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*f + 61 = -182 - 272 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9431923 is divided by 335?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ip when two letters picked without replacement from iinnzpi.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 167\/5 + 4\/(-10). Suppose -3*s = -4 - 8. Suppose 5*o = -4*a + n, s*o = 2 + 2. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 641*z + 1 - 3.\nAnswer: -641*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 4:50 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 224*o**2 - 915*o - 155241. Determine g(-225).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -10079*(-3)\/(-151260) + 48\/240. Which is smaller: v or 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of q**7\/630 + q**6\/360 - q**5\/180 - q**4\/72 - 6*q**2. Find w, given that a(w) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1.25, -5, 5 in decreasing order.\nAnswer: 5, 1, -1.25, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12\/(-8))\/(1\/(-4)). Suppose 7*x - c = 4*x + 2*d, 2*x - 17 = -3*d. Solve -17 = 5*q - 0*f + f, -2*q = -x*f + 20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of o**8\/56 - 2*o**4\/3 + o + 14. Let l(q) be the first derivative of z(q). Find the third derivative of l(h) wrt h.\nAnswer: 120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a225 (base 11) in base 5?\nAnswer: 1400340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11371 rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3088?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 256379353*w**3 + 150833500?\nAnswer: 769138059*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 + 7*w - 8. Let x be s(6). Let y be 5\/(-100) - x\/8. Which is the third biggest value? (a) -4 (b) y (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of -s**4\/6 + 17*s**3\/6 - 6*s**2 - s + 21. Let i be t(7). Solve 0 = -3*g - i for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104342053 (base 6) in base 13?\nAnswer: 51483c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -17*i**2 - 2*i - 6. Let t(r) = -9*r**2 - r - 3. What is 7*t(u) - 4*w(u)?\nAnswer: 5*u**2 + u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of 17*h + 0*h**2 + 0*h**3 - 1\/4*h**4 + 0. Let k(p) = -16*p. What is k(v(g))?\nAnswer: 48*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + 4*h - 5*h)*(2*h + h - h)*(-2*h - 1 + 1).\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 185 and 415?\nAnswer: 15355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -16*v**2 - 34*v - 37. Calculate f(-1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {h: 1, j: 3, f: 3, r: 4, g: 3, p: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + 2*d - 6. Let f be 2*(6\/(-4) + 2). Let j = 4 - f. Let y(x) = -3*x - x**2 + 2 + 9 + j*x**2. What is -7*o(s) - 4*y(s)?\nAnswer: -s**2 - 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41447 (base 8) to base 7.\nAnswer: -101056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -468.6 + 468.3643. Let q = -0.24 - o. What is q rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.6*-3.\nAnswer: 7.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x - 41. Let p(o) be the first derivative of -o**2\/2 + 28. Determine l(p(v)).\nAnswer: -v - 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, f: 3}. What is prob of sequence rff?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13621 is divided by 903?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/13 - 490*c**2\/13 - 4048*c\/13.\nAnswer: 2*c*(c - 253)*(c + 8)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1869076925 a multiple of 389?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 158*d**2 + 37*d?\nAnswer: 316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2883572?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-4)*((-604)\/84 + 7)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 100688867, 100688862, 100688853, 100688840?\n\"Answer: -2*z**2 + z + 100688868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -7*h**2\/2 + 1. Let a(q) = -2*q. Give g(a(t)).\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 43 = -3*v + 5*t, 2*v - 27 = -3*t. What is the units digit of 4\/((-24)\/(-979)) - 2\/v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -569999*m**3 + m**2 - m - 1. Suppose 0 = -3*n + 5 - 8. Let p be l(n). What is p rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 5*i**2 - 18*i - 103. Suppose -223 - 29 = -18*a. What are the prime factors of d(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00012153 rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8003 + 1 + (3 - (4 + 4)).\nAnswer: 19, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35 and 580?\nAnswer: 4060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103723342?\nAnswer: 2, 51861671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 2, 6, 12?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - f**2 - 22*f - 426. Determine u(-7).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*y - 250*y - 21607 = 261*y for y.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -9*o + 293. Calculate the smallest common multiple of n(30) and (-2 - -3 - 2)*-3.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -n**3\/6 + 5*n. Suppose -3*h + 8*h - 90 = 0. Let k(g) = -18 + h + 4*g. Determine k(p(l)).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7685402 to the power of 1\/3, to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 3 = -p. Let w(a) = -3*a + 5. Let q(g) = -8*g + 14. Let b(t) = 4*q(t) - 11*w(t). Let j(f) = f**2 + 3*f + 3. Give p*j(u) + 3*b(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -30 + 33 + -13 + -3\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 6\/1609?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of t**5\/60 + t**4\/8 - t**3\/2 - 3*t**2. Let i(c) = -c**3 + 5*c**2 - 6*c + 2. Let a be i(4). What is x(a)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*f**3*s**3 + 38*f**3*s**2 - f**2*s**3 + f**2*s - 16*s wrt f?\nAnswer: 36*s**3 + 228*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**(1\/4)*v)\/((v\/(v\/(v\/(v**(-1)\/v)*v)))\/v))**3 assuming v is positive.\nAnswer: v**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -507, -1051, -1595, -2139?\n\"Answer: -544*p + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*i**2 + 3*i**2 - 13*i**2)*(-4*i + 11*i + 2*i) as u*i + c + l*i**3 + a*i**2 and give l.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.1, 67, -0.1 in ascending order.\nAnswer: -4, -0.1, 0.1, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1a (base 14) to base 9\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -163 - -147. Let u be 15*(-6)\/(v + -2). Which is smaller: -3\/7 or u?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ekyh when four letters picked without replacement from cehhckkycccekc?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/182420 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -4*u**3 - 7*u**2 + 6*u + 5. Let g(z) = -2*z**3 - 4*z**2 + 3*z + 3. Give 5*g(p) - 3*j(p).\nAnswer: 2*p**3 + p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45 and 1177030.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -33 - -5?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 229940 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35 - -40. Let g(l) = -x*l - 1 + 0 + 24*l. Determine g(-1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 - 2542*g + 5076.\nAnswer: 2*(g - 1269)*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1332 - 1?\nAnswer: 1331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 7*r**2 + 5*r + 2. Let a be w(4). Calculate the greatest common divisor of a and 350.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-165)\/33 - 29\/(-7))*(-183 + -6). What is the highest common divisor of q and 4131?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -224*((-1525)\/(-400))\/61?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -90, 1, 663, -2, 3, 0.\nAnswer: -90, -2, 0, 1, 3, 663","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 16, -20 = -5*x + x + l. Let y be ((-10)\/x)\/((-3)\/9). Solve -y*v + 10 = -0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (887 - 794 + 1376)*(2 - m - 5 + 4).\nAnswer: -1469*m + 1469","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8061*g**2 + 4*g**3 + 2*g**3 - 4*g**3 + 45610*g**2.\nAnswer: 2*g**3 + 37549*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*g + q + 73, -3*q = -2*g + 45. List the prime factors of g.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*s + 21 + 13 = n + 19*s, -489*s + 494*s = 18*n - 42 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 327.9 - 328.2. Which is the second smallest value? (a) -5 (b) o (c) -164\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 4*r**2 - 2*r - 16. Let f(a) = 4*a**2 - 4*a + 2. Let q be f(2). List the prime factors of h(q).\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of 239*k**5\/60 - k**4\/3 - 16*k**3\/3 + 76*k**2 - 2. Is x(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4152728 and 4152728?\nAnswer: 4152728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-one quarters of a day?\nAnswer: 7560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 6 = 2*k. Suppose -5*y = -3*j - 16, 0*y + k*j = y - 6. Calculate the remainder when 10 is divided by (20 - y)*(-3)\/(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25897 = 366*h - 1665*h + 28661 - 14289 for h.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 159 + -321. Let h = r + 186. Solve -q - h = -4*g + q, 2*q + 4 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 520780\/48072*(-30)\/(-26).\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 120 and 36.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.5 (b) -0.1 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 113\/28 + -23\/7. Let c be (-69)\/(-9) - (46 - 39). Sort 0.5, q, c in decreasing order.\nAnswer: q, c, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -7. Let y(d) = 10 + 5 - 28 + d + 11. What is y(f)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + b = 118, 3*o = b - 3*b + 68. What is the smallest common multiple of 12 and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of x**6\/40 + 19*x**5\/10 + 99*x**4\/2 + 324*x**3 - 31*x**2. What is l in r(l) = 0?\nAnswer: -18, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -5*h**3 - h**2 + h + 2. Calculate s(2).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17261 and 133457?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -24\/5, 2\/19, -0.144 in ascending order.\nAnswer: -24\/5, -2\/3, -0.144, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5920)\/(-3552))\/(1070\/(-4))?\nAnswer: -2\/321","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 3*x, -42*a + 37*a + 5*x + 34 = 4*x for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 = -4*b - 21. Solve -m + 6*w - b = 2*w, -2*m + 3*w = 14 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 5*o - 5*m, 5*m - m - 1 = -7*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d**2 + 6*d + 4. Let u be t(7). Suppose 2*w = 6*w - 3*s - u, 3*w - 143 = 4*s. Calculate the greatest common divisor of w and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(171) - sqrt(171))*-2 - 6*(sqrt(171) + 1))**2 + -2.\nAnswer: 288*sqrt(19) + 6218","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8328 = -h - r, 2*h - 16641 = 4*r - 9*r. What are the prime factors of h?\nAnswer: 13, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a factor of 7257560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 13*k**2 - 2*k + 6. Give s(13).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -f**3\/3 - 5*f**2 + 950*f - 70. What is the hundreds digit of s(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2478 is divided by 750.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*(u\/u**(1\/6))\/u*u*u**(-1\/4)*u*(u\/(u**0\/u))\/(u*u**(-2\/13)) assuming u is positive.\nAnswer: u**(583\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12851 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 594483.9 rounded to the nearest ten thousand?\nAnswer: 590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*y**2 + 1291*y - 323 = 0. Calculate y.\nAnswer: -323, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 85 = 5*g, g - 4*g - y + 40 = 0. Which is greater: g or -20?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-949212)\/9212 - -101)*7\/(-2)?\nAnswer: 50\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*f - 179 - 2061. What is the least common multiple of f and 56?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 334 and 20875?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -111\/2 + 56. Factor -5\/2*d - 5*d**2 - 1\/2 - 5*d**3 - o*d**5 - 5\/2*d**4.\nAnswer: -(d + 1)**5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*t + 125 = -73*t + 653 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5718.895 - -5719. Let m = 10785410 + -10785409.89499906. Let d = m - p. What is d rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215767?\nAnswer: 215767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7121347 (base 8) to base 15.\nAnswer: -2710e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 2, -3, -2, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 108 - 104. Let g = -8 + 16. Solve z*f + g + 12 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 4*g**3 + 108652*g**2 + 217288*g = 0.\nAnswer: -27161, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2 = -5*h, -g = -0*h - 3*h + 2. Suppose -7*t = -h*t + 3*c - 14, 5*t + 2*c = 16. Solve 3*i + l - t = 0, 5*i - 4*l = -0*l + 35 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*d, 4*z + 2*d + 8 - 26 = 0. Solve 2*t + 0*t = -5*p - 5, 5*t - 4 = z*p for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5457485761.\nAnswer: 7, 13, 647, 92693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zffzzzazazzzzz. Give prob of sequence ff.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(14)*1)\/(sqrt(77)\/(sqrt(22)\/sqrt(2))).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l - 2*l + 1960 = 0. Let s be 42\/((-21)\/(-6) - 2). Calculate the highest common factor of s and l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 11:50 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 9*k - 16. Let o be z(-4). Suppose -638 = -q + m, -m - 1267 = -2*q + o*m. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.41 in 0.5, 1\/9, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 26284523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1914 + -1918. Which is the biggest value? (a) s (b) 5\/6 (c) 1\/8 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8 in 1, -1.2661, -194?\nAnswer: -1.2661","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 37\/1*(-7 + 198) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 - 0.3. Put 1\/5, -0.2, f in descending order.\nAnswer: 1\/5, f, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/15*(-50)\/(-60). Which is the smallest value? (a) y (b) -3\/4 (c) 78\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -4*h**2 + 23*h + 168. Let s be a(-7). What is the common denominator of 47\/40 and (18\/s)\/((-48)\/(-2828))?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16257?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -3) + 7 + (0 - 0).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q + 2 = 11*q, 3*q = -5*m + 954. Is m a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 7*k**2 + 4. Let r be g(-6). Suppose 2*c = -0*c + r. Solve -4*n = -u + c - 3, -3*u = 2*n - 9 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, n: 1}. Give prob of picking 1 n and 2 y.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + 2. Suppose -5*x - 5*h = -35, 4*h = -0*x - 5*x + 36. Let g(z) = 2 - z + x + 0 + 67*z**2 - 61*z**2. Calculate -2*g(v) + 11*k(v).\nAnswer: -v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*a**2*z + 266*a**2 - 3*a*z - 6*a - 35312*z wrt a?\nAnswer: 8*a*z + 532*a - 3*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -4 + 5 + 1 - l. Let t(d) = 25. Let s(v) = 33. Let x(q) = -3*s(q) + 4*t(q). What is 2*o(b) - 3*x(b)?\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 7*k**2 - 15*k + 12. Let h be n(11). Let w = 23533\/34 - h. Calculate the common denominator of 97\/12 and w.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lrwlwryrrllrlyy. Give prob of picking 2 l and 1 y.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 839 - o**3 - 846 - o**4 - o + 0*o**4 + 8*o**3 in the form t*o**3 + g + l*o + f*o**4 + h*o**2 and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -865 + 1524. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*x = -29*x - 105*x - 22477. Do x and -1725\/13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1700)\/350 + (4 - (0 - 0))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4\/11 - 10*s**3\/11 - 12*s**2\/11.\nAnswer: 2*s**2*(s - 6)*(s + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - y = 5677, 0 = -4*d - 0*d + 3*y + 4546. Let a(v) = 2*v**2 + 106*v + 180. Let m be a(-54). Let b = m + d. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j + 3. Let r be y(-7). Let x(i) be the second derivative of -i**4\/12 - 7*i**3\/6 - 3*i**2 - i. Is x(r) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 1\/3 (c) -21 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of -z**3\/6 + 53*z**2\/2 + 5*z + 994. Calculate j(48).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3195 + 3211. Calculate the lowest common multiple of 2*1*(-3 + 8) and i.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**5\/5 - 41073*h**4\/5 + 140520861*h**3\/5 + 423575709*h**2\/5 - 5622318192*h\/5 - 11814115068\/5 = 0. Calculate h.\nAnswer: -7, -2, 6, 6847","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 8 = 6*i. Sort i, 0, 2 in decreasing order.\nAnswer: 2, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 6*m**2 + 8*m - 13. What is f(-7)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -8 times -84674\nAnswer: 677392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**3\/5 + 438*a**2 + 8744*a\/5 = 0. Calculate a.\nAnswer: -2186, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 11 (b) 1.2 (c) 29 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 0 = -2*w, 0 = 3*g + 4*w - 84. Suppose 3*c - 2*j = -j + 58, 2*j + 11 = c. Suppose -3*o - c = -10*o. What is the highest common divisor of o and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a year in months?\nAnswer: 57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.74 - -0.740057. What is r rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7965, 15868, 23831, 31884, 40057, 48380, 56883, 65596?\n\"Answer: 5*z**3 + 7868*z + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert a0 (base 13) to base 6.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 122, 298, 572, 932, 1366?\n\"Answer: -2*z**3 + 61*z**2 + 7*z + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.5435 * 4.\nAnswer: 6.174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 3*r**2 - 6*r + 4. Let y be j(4). Suppose 0 = 403*i - 383*i - 40. Which is the biggest value? (a) y (b) i (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5851\/10 + 1171\/2. Which is the smallest value? (a) 4 (b) -3\/2 (c) -0.4 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 4*w**3 - 5*w + 1 + w + 0*w - 2*w - 5*w**3 + 6*w**2. Suppose -2*h + b + 12 = 3*b, -10 = -5*b. Determine u(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -12*d**3 + 194\/3*d**2 + 2\/3*d**4 + 128\/3 - 96*d = 0.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3593 is divided by 318.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11223 is divided by 302.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/9 in -38668, -5, -19?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 218 + -306. Let q = -78 - k. Calculate the lowest common multiple of 10 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.2 + -3.8. Let x = -3.08 + 0.08. Put 0, g, x in ascending order.\nAnswer: g, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x**2 + 3*x - 2. Let l(h) = -h**3 + 7*h**2 - 3*h - 13. Let a be l(6). Let t(c) = -c**2 + c - 1. What is a*t(f) - 2*i(f)?\nAnswer: f**2 - f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000601026696 to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 47161369 and 0.3063646?\nAnswer: 47161368.6936354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3*m**2 + 2*m + 1. Let a be c(-1). Suppose 2*x + 91 = 2*r - x, -42 = -r - a*x. Suppose -5*u = r - 859. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + g = 12, 3*w = -2*w + g + 36. Suppose 2*z = -4, -4*d + w*z = 5*z - 22. Solve 4*c + d = 5*p - 11, -3*p + 9 = -3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39796041 a multiple of 363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, z: 1, s: 2, j: 1, k: 2, t: 1}. Give prob of picking 1 s, 1 j, and 1 t.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 47 + (15 - 24) + 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111110010 + 1020?\nAnswer: 111111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 265584 at most 265601?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-1)*(-9)\/(-27)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a week in minutes?\nAnswer: 2688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + (-3)\/(6\/(-14)). Let n(d) = -d + 11. What is the units digit of n(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, -77\/20, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3*a**2 - 4*a. Let d(w) = 4*w + 15. Let j be d(-4). Let z(c) = c. Give j*x(p) - 4*z(p).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3 - 411*q**2 - 3882*q - 8760.\nAnswer: 3*(q - 146)*(q + 4)*(q + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 50499857 divided by 1364861?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31828373?\nAnswer: 31828373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (56\/(-6))\/(888\/666)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7741, -4, -53 in ascending order.\nAnswer: -53, -4, -2\/7741","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 5*t**4\/4 + 120*t**3 - 23725*t**2\/4 + 33495*t + 563255 = 0.\nAnswer: -133, -7, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -31*d**2 + 19 - 11 - 9. Let t(n) = 15*n**2 + 1. Let y(z) = 4*p(z) + 9*t(z). Differentiate y(q) with respect to q.\nAnswer: 22*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(18) - (sqrt(2592) - sqrt(2592)*-2)) + sqrt(18))\/sqrt(6))**2.\nAnswer: 3468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -152 + 2?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**5\/7 - 744*z**4\/7 + 59398*z**3\/7 + 1882536*z**2\/7 - 59400*z\/7 - 1881792\/7 = 0.\nAnswer: -24, -1, 1, 198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 21*h + 10 + 8*h - 15*h wrt h.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07226*-472.\nAnswer: -34.10672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 20 = 3*t + 3*v, 0 = -2*t + 3*v + 3. Let a(y) be the first derivative of -4 - y**2 + t + 4 - 4. Let n(j) = -4*j**2. What is n(a(u))?\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (54 - (53 + 33 + -52)) + (-2 - -8)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -14*h**5\/13 + 208690*h**4\/13 - 4050952*h**3\/13 + 25132232*h**2\/13 - 44301408*h\/13 - 34299648\/13 = 0?\nAnswer: -4\/7, 6, 8, 14887","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40735 is divided by 70?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21 by -491289.\nAnswer: 7\/163763","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 7*y + 5*z + 6, 0 = -z - 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.6 and -43.\nAnswer: -25.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (0 - 8) - -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43504\/223, -2\/3, 0.3, -2.\nAnswer: -2, -2\/3, 0.3, 43504\/223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47281?\nAnswer: 13, 3637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*s - 133 + 7. Suppose 5*d + s = 104. Suppose 6*h = 3*h + d. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -28*w**2 + 33*w - 6. Let a(s) = -29*s**2 + 32*s - 4. Let o(y) = -3*a(y) + 2*f(y). Find the second derivative of o(k) wrt k.\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-5)\/(-2))\/((-4)\/(-8)). Let s be (-1 - -1)\/(1 - 3). Which is the nearest to -2\/7? (a) 0.1 (b) s (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0061595626 rounded to four decimal places?\nAnswer: 0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 - 41 = -19*y. Solve 0 = y*m + 4 + 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/(-4056)*-32 - 4176\/(-12896).\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 914738.6 to the nearest ten thousand.\nAnswer: 910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -5*h - 7. Suppose 2 = 2*p + 6. Calculate the lowest common multiple of c(-2) and (p - (-6)\/3) + 12\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -92, 14576, 2, -5 in decreasing order.\nAnswer: 14576, 2, -5, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17408 and 1684768.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-20)*(65 + -75). Suppose -20 = t*x - 26. Solve 0 = x*z - 3*f + 9, -5*z - f - 3*f = -35 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2*p = 672, 4*w - 7*w = -3*p - 657. What is the remainder when w is divided by 89?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5231.\nAnswer: 5231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 59 - 1190?\nAnswer: -1131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22043, 44245, 66601, 89111, 111775, 134593, 157565?\nAnswer: 180691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2 - 1 + 2*f**2 - 3*f**2 - 4*f. Let b be u(-5). Let h = b - -10. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -5*d - 18. Is d != -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 859479 to the nearest integer?\nAnswer: 927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21689686?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4192319?\nAnswer: 17, 246607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3243440 (base 5) to base 2\nAnswer: -1101101100111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36652.12 tonnes in micrograms?\nAnswer: 36652120000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(1\/10)\/w**(-4\/11) assuming w is positive.\nAnswer: w**(51\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 10*i - 25. Is d(-18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -4*u + g, -3*u + 1 = 4*g - 4. Let f(a) = -a. Let p(k) = 102*k - 6. Let x(q) = -5*f(q) - p(q). Is x(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 - 68*x - 689. Let b be o(68). Are -688 and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 + 122111726*v - 3727818406674769.\nAnswer: -(v - 61055863)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 4941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + ((-5265)\/24)\/(-5). Let f = -46 + o. What is the closest to -2 in -4, -2, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.0334, -7.8, 3, 0.5, -4.73, 2\/7?\nAnswer: -4.73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 147841\nAnswer: 2\/147841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 - 14. Suppose -4*q - 19 = -3*f, r*f - 3*f = -3*q - 8. Let c be 150\/40 - f\/(-4). Solve 0 = -5*v + c*n + n - 5, 5 = 2*v + 5*n for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 3:10 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 202.77 - 219.4. Round x to the nearest integer.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 5*j + 17 = -2*s, -2*j - 16 = 3*s. Let k be (-38)\/8 + s\/24. Sort k, 5, -4 in ascending order.\nAnswer: k, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l - 39 + 11 + 14)*(8*l + 19*l - 8*l)*(4 - 9*l - 4).\nAnswer: 513*l**3 + 2394*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l + a + 38 - 46, -5*l - 10 = 5*a for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = 5*f - 354. Suppose 4*k = -f - 1. Let d = k - -21. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j\/(j*j**(4\/11)*j)*j)\/j*j*j))\/(j*j**(-2\/3))*j**2\/((j\/(j**(-2\/7)\/j))\/j))\/(j**(5\/7)*j\/(j*j\/j**(1\/16))*j*j)**(1\/8) assuming j is positive.\nAnswer: j**(2207\/4224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*a - 28*a - 3*m - 3 = 0, 17 = -a - 5*m. What is the biggest value in -2\/61, a, 0, 1, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.788519879 to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002908727 rounded to seven decimal places?\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 76\/(-95) + (-16)\/(-20). Solve q = -h + 4*o + 12, -3*h = 2*h + o + 24 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 11, l: 9}. Give prob of picking 4 w.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -39, -84, -163, -288, -471, -724, -1059?\nAnswer: -1488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 117 and 118 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 24*l - 27*l - 43, -4*p - 5*l + 64 = 0. Solve 2*j = -j + 2*h - p, 12 = 3*h for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4669124*v**2 - 8809276*v wrt v.\nAnswer: -9338248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*h + 785 = 68*h. Suppose h = 4*m + 1. What is the remainder when m is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 892 - 892.848. Round s to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 5*q**2 + 118*q - 1460. Determine g(11).\nAnswer: 443","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 93678 and 5505384?\nAnswer: 71569992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -0.5 (c) -4 (d) 1 (e) -3 (f) -71.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 - k**5 + 0*k**2)*(-4 + 14 + 7).\nAnswer: -17*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 11) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*n + 42*n - 3*z - 60 = 0, -3*n + 7*z = -46 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 12:11 PM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 406.1 and 162.\nAnswer: 65788.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63417498 is divided by 21139157?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.115 + -22.115. Let o = -22.0361349323 + 0.0361349923. Let u = o - h. Round u to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**5\/3 + 2681*u**4\/3 - 13426*u**3\/3 + 10744*u**2\/3 = 0.\nAnswer: -2686, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1940281, 1940282, 1940283?\nAnswer: 1940284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, 3, -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2554*i**2 + 2*i - 4634 + 6617*i**2 - 3*i + 4634 in the form m*i + f + w*i**2 and give w.\nAnswer: 9171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**2 - 3*n**2 - 23*n**3 + 21*n**3 + 48.\nAnswer: -2*n**3 + 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.18, 1208 in increasing order.\nAnswer: 0.18, 5, 1208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7254 by -279.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 206910 divided by -2090?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20582250.\nAnswer: 2, 3, 5, 13, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/504*-2)\/((-1)\/(-7)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o. Let j = -7 - -10. Let n(l) = -9*l + j*l + 1 - 1. Calculate n(t(f)).\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 192 = -7*s + 3*s, 5*s - 240 = -r. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -55 by 43.\nAnswer: -55\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7134 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/495*5)\/(-2)*-1.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-225)*-6)\/(44\/(-110))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, a: 2, c: 1, g: 1, b: 2}. What is prob of sequence ce?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -276 - -23.8237?\nAnswer: -252.1763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 88 + -120. Which is greater: m or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6941163.\nAnswer: 3, 37, 62533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + (-8)\/2)*-1. Suppose 3 = -2*s - m, 0 = -3*z + 4*s + 22. Suppose z*v + 2*o - 214 = -68, 5*v + 4*o = 361. Is 18 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = 73357*x - 73405*x + 1185 for x.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 5*l**5 - 145*l**4 + 1630*l**3 - 8840*l**2 + 23040*l - 23040 = 0.\nAnswer: 3, 4, 6, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1795304 - -103283\nAnswer: -1692021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*j**2 + 49*j**2 - 8*j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a = -6*a + 27. Let i be (-6)\/(-5)*(a - -4*2). Solve 3 = -5*h + i*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -54.87 - -55.1. What is the biggest value in h, 0.5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2951 is divided by 491.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-6) + (-1 + -2)*4. Sort 5, -0.3, d in increasing order.\nAnswer: d, -0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2254 + 959 = -107*a + 3841 for a.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -119.03 + 116. Let f = r - -6.03. What is the fourth biggest value in f, 1\/6, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4*sqrt(55))\/sqrt(11)*3.\nAnswer: 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/217 in 2, 4, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16570 (base 13) in base 5?\nAnswer: 2331204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by 284849?\nAnswer: 14\/284849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 715032719 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 20 = -q, -34*q - j + 8 = -31*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from sdmdssssmsmmmmosmsdd?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 4*r. Let i be b(3). Suppose -5*g + 5*w = 35, -i*g + 2*g + 3*w = -1. Let z = 18 + g. What is the smallest common multiple of 9 and z?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19780 (base 13) to base 5\nAnswer: 3041441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11011022211022100 + 10?\nAnswer: -11011022211022020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 26288, 25315, 24342, 23369, 22396, 21423?\n\"Answer: -973*l + 27261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b + 1. Let p be o(-2). Let r(j) = 10*j**3 + 4*j**2 - 3*j + 3. Let z(m) = m**3 + m**2 - m + 1. Let h(d) = p*z(d) - r(d). Calculate h(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (3 + -1 - 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-3 - (3 + 68\/(-12)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -63*w**3*y + 13278*w*y + 12*y + 37328 wrt w.\nAnswer: -189*w**2*y + 13278*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 10*g**2 + 10*g + 19. Calculate the lowest common multiple of 12 and w(11).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**4\/5 - 82*j**3\/5 - 190*j**2 - 2166*j\/5.\nAnswer: -2*j*(j + 3)*(j + 19)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 25*x - 73. Let j be k(3). Is j less than 112\/39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - i**2 + i - 275. Let y be w(0). Let j = y - -964. What is the hundreds digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*j = -4*g + 6, -3*j + 2 = -2*g. Solve -4*x + 14 = -g, -4*n = 2*x + 4 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62028 = -74*n + 63582 for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*d - 33*d + 236. Let u = d - -1318. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 70*j + 18*j. Let c = 0.8 - -0.2. What is the closest to c in -1, 1\/2, j?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100772543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3113 - -3108. Which is the nearest to -0.9? (a) -0.1 (b) 2\/9 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 114*u - 115*u + 18. What is the remainder when 33 is divided by u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u - 12, -264*h = -265*h + u + 1 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000013959693 rounded to 7 decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -79140.63 rounded to the nearest 100?\nAnswer: -79100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*t - 288 = 33*t. Let k = 11 - t. Suppose -x + 2*c = c - k, -x - c = -161. List the prime factors of x.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2202908?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 28 = -4*o - 9, 5*o + 26 = 3*p. Let t = o - -8. Which is the third biggest value? (a) 0.4 (b) -0.4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.175938 from 13342361.\nAnswer: 13342360.824062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 501.585 + -502. Let s = -3.585 + c. What is the closest to 1 in s, -0.02, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -6, -3, 3.\nAnswer: -6, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3097 + -0.2597. Which is the second smallest value? (a) 2\/7 (b) -3\/8 (c) x (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15915 + -10206. Suppose 6*h - q = h + v, -4*q = -3*h + 3439. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2*v = 3*v - 382, 5*b - 3*v - 394 = 0. Calculate the remainder when b is divided by 2*((-455)\/(-14))\/13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*p - 421*p - 199*p.\nAnswer: -583*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 57*c. Let h be d(1). Let o = h - 30. What is the remainder when o is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.6 - 1.4. Let j be (2 - 1)\/2*1. What is the nearest to 0 in j, 5, h?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -9*t**3 + 2*t**2 + t. Let l be v(-1). Solve -l = -0*j + 2*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -100907*r**4 - 97782 with respect to r.\nAnswer: -403628*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10021 - 5904. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2913 + -2913.4. Let q be 1\/(-4) - (-76)\/(-80). What is the third smallest value in v, 0.06, q?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + 6*n + 3. Let l(s) = 3*s**2 + 18*s + 8. Let x(d) = -8*a(d) + 3*l(d). What is the units digit of x(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of 43*t**8\/56 + t**6\/10 + t**5\/5 + 279*t**4\/4 - 7*t**2\/2 - 5827*t. Find the third derivative of g(k) wrt k.\nAnswer: 5160*k**3 + 72*k + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (236*i**3 + 367*i**3 - 515*i**3)*(3*i**2 - 2*i + 2*i + (-4*i**2 + i**2 + 2*i**2)*(-1 - 1 + 3)).\nAnswer: 176*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from {k: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -660.4.\nAnswer: -330.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 15.45364ml?\nAnswer: 0.01545364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30530*s**6 - 1052*s**5 + s**3 - 122443079*s**2.\nAnswer: -3663600*s**3 - 63120*s**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 5*i**2 - 13*i - 9. Suppose 8*l + 17*l - 175 = 0. Let w be f(l). Which is the closest to -1\/4? (a) 5 (b) w (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 6. Let q(f) be the first derivative of f**2 - 2*f - 54. Give q(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 21*v - 105. Give c(4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 201*u - 1016. What is c(6)?\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 73 + 63. Let z = s + -38. Calculate the greatest common divisor of 14 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/6 - (-19)\/(-57)*-4. Let x = 18 + -13. What is the nearest to 1\/4 in -1\/2, x, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 12 = 0, -2*f - 2*k = -5*f - 48. Let b = -7 - f. List the prime factors of b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5996610 rounded to the nearest one hundred thousand?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -111248 less than 0.73063?\nAnswer: 111248.73063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -4*k**3\/3 + 1130*k**2\/9 + 1166*k\/9 - 2284\/9 = 0.\nAnswer: -2, 1, 571\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -431 + -4 + 2 + 3. Round l to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*a + 0*a - 6*a)*(-1 + 1 - 7)*(1 + 5*a**2 - 9 + 11) to r*a + k*a**3 + f*a**2 + b and give r.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (300*d - 12 - 4 - 298*d)*(0 - 1 + 4)*(-2*d**2 + 4 + 9 + 2*d - 8) to the form h*d + k*d**2 + p*d**3 + q and give q.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -0.8282\nAnswer: 0.08282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 54*p**3 - 14*p + 16*p - 196*p**3 + (3*p - 1 + 1)*(-3 - p**2 + 3).\nAnswer: -145*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1731 - -1778. Solve -t*s + 181 = -54 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-316825)\/38019)\/((-5)\/(-12))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 1815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1331477\/57096642 + -13\/19839. Calculate the common denominator of 14\/11 and y.\nAnswer: 31658","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -276300332, -552600662, -828900992, -1105201322, -1381501652, -1657801982?\nAnswer: -1934102312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -147, -142, -133, -120?\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -49*q**2 - 786*q - 37. What is z(-16)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 3*d = 4*z - 111, 2*d + 36 = 147*z - 38 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 15*b**2 + 22*b + 16. Let a be z(13). Let d = 1228 - a. Suppose -4*v + d = j + 31, v = -5*j + 332. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 10:14 AM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - ((13 - 3) + -7)) + -20.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 + 3)*(-4*b + 6*b + b) to d + t*b and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*n**5 - 7*n**2 + 27*n - 1 wrt n?\nAnswer: -60*n**3 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 - -33. Let c(m) = 81*m**2 + 3*m + 2. List the prime factors of c(p).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 621 and 24.\nAnswer: 4968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.115 and -5157?\nAnswer: 5158.115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, s: 2, m: 1, z: 1, w: 2}. Give prob of picking 1 m, 1 z, and 1 w.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1020021212221122 (base 3) to base 5.\nAnswer: 14012132133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 + 29. Solve 0 = -b*s + 3*p - 6, -2*s - 2*s - 8 = -3*p for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of 0*c + 5*c**2 + 1\/15*c**5 + 0*c**3 - 1\/210*c**7 + 0*c**4 + 0 + 0*c**6. Find the third derivative of g(y) wrt y.\nAnswer: -24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11526465*s**2 - 7960903*s wrt s.\nAnswer: -23052930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2952093 + -1624.0161907. Let a = -1624 - f. What is a rounded to two decimal places?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -79\/248?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -38 (base 15) to base 11\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + 3*n - 2. Let d(b) = b**2 + 2*b - 2. Let j(h) = h**3 - 5*h**2 - 5*h - 10. Let q be j(6). Give q*d(s) + 3*f(s).\nAnswer: -s**2 + s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 0.066, 1.45, 121.22?\nAnswer: 1.45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 881*y - 11627. What is o(13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d + 7. Let j(c) = c - 4. Let t(s) = 2*j(s) - n(s). Give t(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36886.81 kilometers in millimeters?\nAnswer: 36886810000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 6*d + 2*d**2 - 9 + 0*d**2 + 4*d**2 - 5*d**2. What is the units digit of r(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1539052242 rounded to the nearest 1000000?\nAnswer: -1539000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u*u**(-6))\/u)*(u\/(u\/((u*u**(-2)\/u)\/u*u)))\/u*(u*u\/((u\/u**(-1))\/u*u))\/u**(2\/13))**(1\/18) assuming u is positive.\nAnswer: u**(25\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 4:43 AM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 divided by -4?\nAnswer: -119\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 1:38 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -369 - 2*u**2 - 3*u**2 - 3*u + 3*u**3 + 365 - 3*u. Let j(i) = -10*i**3 + 16*i**2 + 19*i + 12. Let g(h) = -2*j(h) - 7*v(h). What is g(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2633*h + 2639*h + 312 = 0. Sort 2, -4, h in increasing order.\nAnswer: h, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1073883?\nAnswer: 3, 311, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(2\/6*-1). Suppose -4*s + 240 = -4*g, g = s - w*s + 123. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*z**2 - 13*z + 0*z**2 - 2*z**3 - z**2 - 5*z**2 as k + p*z**3 + o*z**2 + x*z and give x.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 12873.\nAnswer: -51492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4 + 3546*w**3 + 3157681*w**2 + 25091496*w + 50069776.\nAnswer: (w + 4)**2*(w + 1769)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x. Let u(c) = 398*c - 115. Let m(k) = u(k) + 3*v(k). Is m(18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-2))**5\/((n*n\/n**(-1\/2))\/((n\/(n**(-2\/31)\/n))\/n)))\/((n**6*n**(-2\/11)\/n)\/(n*(n*n*n**(-3\/8))\/n*n*(n\/n**9)\/n)) assuming n is positive.\nAnswer: n**(6469\/2728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - 8*d + 10. Let c be v(-9). Let m = 26721\/17 - 1571. Which is bigger: m or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4\/3)\/((((q\/q**(2\/15))\/q)\/q)\/q))\/(q**(-2)*q)**(-10\/13) assuming q is positive.\nAnswer: q**(2\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2543d4 (base 14) to base 15.\nAnswer: -1a4188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13424 + 54?\nAnswer: 13511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k**3 + 0*k**3 + 0*k**3)*(-3*k + k + 3*k)*(9 - 12 - 11) to h*k + w*k**4 + y + v*k**3 + r*k**2 and give w.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14152 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*y - 1. Solve -2*b + y = b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*o**3 + 115*o**2 + 100*o - 220 = 0. What is o?\nAnswer: -22, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*w**2 - 6*w - 27*w**2 + 29*w - 5*w - 18*w.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.5, 15830, 0.01?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 - 13 = -2*a - 2*r, 3*r + 57 = 3*a. Suppose 5*f = -h + 9, 3*h = -2*h - f + a. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278383 is divided by 18558.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -21*d + 11. Let b(n) = n**3 - n**2 - 7*n + 3. Let s be b(3). Let k(c) = -71*c - 6 + s + 82*c. Give -11*k(v) - 6*o(v).\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/((-4)\/(-3) + -1). Is -6 + 3 + 72\/o a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*z - 7*z + 9*z**2)*(109*z**2 - 123*z + 61*z + 62*z - z**2 - z**2 + 0*z**2 + (-4*z + 2*z + 3*z)*(1 - 1 - 2*z)).\nAnswer: 945*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 7?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 311\/5 - 63. Which is the second smallest value? (a) h (b) 0 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142325*f**3 + 284679*f**3 - 142301*f**3.\nAnswer: 53*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1293*((-8)\/(-6) - 1). Let c = -2603\/6 + f. Calculate the common denominator of -73\/20 and c.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/7 (b) -14\/33 (c) 2 (d) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -8*x + 934. Is n(7) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 3 = -2*n. Let f be ((-2)\/6)\/(1\/(-12)). Let w = f - 2. Solve -n*h + 8 = w*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*s = 9*s - 1040 - 497. Calculate the greatest common factor of 9947 and s.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122*f - 104*f + 349*f - 121*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 15 = 0, 3*n = 6*n + 4*q - 12 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**3 + 44*f**2 - 31*f + 22. Let u be z(22). Let i be u\/(-160) + (-1)\/8. Solve -3*p + 2 = 5*h, 0*p - 2*h + 12 = i*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -747*c**2 + 397 wrt c?\nAnswer: -1494*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 672233 to the nearest integer?\nAnswer: 820","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000345648015 rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1220 by 305.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -216*x - 417. What is z(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of ((-3)\/(-1))\/((60\/256)\/5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, q: 2, j: 1, y: 3, n: 6}. What is prob of sequence nj?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in -2, 3\/5, -1, -2\/39?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of u**4\/24 + u**3\/2 - u**2. Let b = -44 + 44. Suppose b = -5*d - 51 + 31. What is n(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 137 = 5*y, -4*k - 132 = -6880*y + 6884*y for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/4017 and 39\/4532?\nAnswer: 176748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 416654981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 18*f - 46. Calculate the remainder when 126 is divided by b(4).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 24*f**4 - 790*f**3 - 24786*f**2 - 136844*f - 11232 = 0.\nAnswer: -13, -8, -1\/12, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -a402 (base 13) in base 5?\nAnswer: -1211043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 2164 and 2163 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1246 + 298 = -h. List the prime factors of h.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -20*u - 5. Let d(s) = 5*s**2. Determine m(d(l)).\nAnswer: -100*l**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gafr when four letters picked without replacement from {f: 1, g: 2, r: 1, a: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*x - 4*k, -k + 118 = -3*x + 143. Solve -x*r - 25 = -4*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k - 20. Let s be a(-9). Let p(j) = -j**2 + j - 1. Let d = 81 - 80. Let x(i) = -i**2 - i - 1. Let u(z) = d*x(z) + s*p(z). Determine u(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 22267*s**2\/2 + 22201*s - 132.\nAnswer: (s + 2)*(22267*s - 132)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2272169561 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 1 - (-3 + 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/11 + 88280*s**2\/11 - 353096*s\/11 + 353088\/11.\nAnswer: -2*(s - 44136)*(s - 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2619306425?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 18 = -d. Calculate the remainder when 45 is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pqpq when four letters picked without replacement from qqmqqqpqqwqpqw?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -162.805 rounded to the nearest integer?\nAnswer: -163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of b**4\/6 - 6*b**2. Let i(a) = -185*a**2 + 92*a**2 + 92*a**2. Calculate o(i(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -1044*k + 22. What are the prime factors of c(-1)?\nAnswer: 2, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277947 to the power of 1\/2, to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 6598.717 hours?\nAnswer: 23755381200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 12:09 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 1) + (5 - ((-12 - -1) + 15))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 463280419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 9:44 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-2 - (2 + -1 - 1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 - 223*d**2 - 7844*d - 7620.\nAnswer: (d - 254)*(d + 1)*(d + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 3) + (-2 - 2) - (-3 + 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 156 (base 7) to base 13\nAnswer: 6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 3 - 5 + 30*a**2.\nAnswer: 30*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -9. Let h be d\/(-2) - 0\/(-1). Suppose 2*a - 108 = -h*a. Is 9 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 498*(2\/6 - 4\/(-12)). Suppose 2*y - 17 - 173 = -4*u, 4*y = 4*u + p. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -5*m + 11. Let d(q) = q. Let o(u) = 7*u - 4. Let s(y) = -5*d(y) + o(y). Calculate -3*k(t) - 8*s(t).\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*a**2 - 4*a**2 + 3*a**2)*(-8*a + 2*a**2 + a - 2*a) to the form l*a + i*a**2 + b*a**4 + w*a**3 + q and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4*q + 21. Let x be s(-11). Let c = -23 - x. Suppose c = 5*h - 424 - 271. List the prime factors of h.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71, 327, 731, 1259, 1887, 2591, 3347, 4131?\nAnswer: 4919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + 20*j - 45. Determine y(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t + 8*t - 9300 = 0. Does 10 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sbbsjpf. Give prob of sequence jsf.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(3 - -1)*199. Suppose -5*x + 5*i = -150, -39 = 4*x + 4*i - o. What is the remainder when x is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -w - 2*k, -4*k = -5*w - 3*k + 18. Suppose 24 = c + 2*l, -3*c = 2*c - w*l - 68. What is the highest common divisor of 16 and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -147*(-20)\/(-60)*4\/(-14).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 721 - 83*b**3 - 721 - 40*b**3.\nAnswer: -123*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 4:24 PM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((1176\/35)\/4)\/((-6)\/15)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 4 = -4*x. Solve 2*d - 3 = -x for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 779923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*-1 + 4*3. Suppose -3*z - 2*z + 5*k = d, 3*z + 10 = 5*k. Suppose 5*c - 20 = 0, 0 = 5*b + c - 0*c - 9. Solve z = -q + 2 + b for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 91920 or 183841\/2?\nAnswer: 91920","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -4*r + 155, 52 - 2 = 2*h + 4*r. Let v = 1668 - 1353. Calculate the greatest common divisor of v and h.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/2 - 399\/154. Which is smaller: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11341?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**4\/11 - 454*i**3\/11 - 15332*i**2\/11 + 91104*i\/11 + 105984\/11 = 0. What is i?\nAnswer: -184, -48, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6.2 - 228\nAnswer: -221.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.14 - -0.19. Let j = 27.9 - 27.97. Sort j, l, -0.3 in decreasing order.\nAnswer: l, j, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -24 or -0.19862?\nAnswer: -0.19862","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6790457 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**4 + 17991*q**3 - 80476440*q**2 - 3986659600*q = 0. Calculate q.\nAnswer: -49, 0, 9020","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 717399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -34, -152, -342, -598, -914?\n\"Answer: q**3 - 42*q**2 + q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 2:30 AM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 6*j**2 + 3*j + j**3 - 16*j**2 - j - 3 + 7*j. Let v be x(9). Let q be 100\/8*(v - 797). Round q to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1575, -4460, -7345, -10230?\n\"Answer: -2885*v + 1310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-90)*-29661)\/(34\/(-57)). Let v = x - -2210. Which is greater: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -6. Suppose 0*b + 5*b - 46 = 4*y, c*b + 2*y - 32 = 0. Calculate the smallest common multiple of b and 7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -260 + 4?\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002758 rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*4 - (3 + -2). Let v(b) = -4*b - 2*b**2 + b - n*b - 5. Calculate v(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -187.05118 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 10. Let p = -10 - -16. Suppose 3*r + 21 = -4*o - 3, -4*r - 4*o = 24. Put r, p, z in increasing order.\nAnswer: r, z, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(392)\/sqrt(7)*4)\/(sqrt(16)\/sqrt(32)).\nAnswer: 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 13*w = -16*w - 733, 1445 = 4*g + w. Does 54 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + 7. Let f = g + -11. Solve -f*h + 3*h + 4*t = 7, 2*t = 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**2 + 2*x**3 - 3*x**2 + (0*x**2 + x**2 + 0*x**2)*(8*x - 2*x - 3*x).\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -5 - -2) + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9.8 or 1.5?\nAnswer: 9.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/394 and 73\/10.\nAnswer: 1970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -104 - -53. Calculate the remainder when 10\/6 + -2 + (-527)\/p is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 13*o - 1416 = -9*o, -3*o + 9 = 0. What is the remainder when y is divided by 76?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 3*z + 2*z)*(-24 + 134 - 2289*z + 2281*z)*((-3 - 1 + 2)*(1 - 3 + 3) + 1 + 1 - 5 - 3 - 1 + 1).\nAnswer: -128*z**2 + 1760*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-1\/3))**36*(n**(-6)*n)\/(n\/(n*n**(-2\/9))))**(18\/13) assuming n is positive.\nAnswer: n**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1850 - 3844?\nAnswer: -5494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 2*s + 6 = 3*s + 3 - 19, 0 = -200*s + 4400 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 4*f - 18444, -2*f + 24*x + 9216 = 22*x. Is 6 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 3. What is the second derivative of 0*u - 2*u - v*u + 2*u**5 wrt u?\nAnswer: 40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46796, -94063, -141332, -188603, -235876, -283151?\nAnswer: -330428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 + (0\/2 - 1). Let j = i - 0. Suppose 32000000 = j*s - 0*s. Round s to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-17 - -2)*-2*14\/(-12). Let o be (-50460)\/s + 6\/21. Suppose 4*b + u - o = 0, -369 = -b - 0*b + 4*u. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 193659\/23330 - 2\/2333. Calculate the common denominator of t and -46\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -77*n + 11 - 274*n - 38*n - 19 + 9 to c + r*n and give r.\nAnswer: -389","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1199 + 2399\/2. Let h(t) be the second derivative of -1\/2*t**2 - p*t**3 + 4*t + 0 + 1\/12*t**4. Give h(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (161 - -1)*2\/2. Let q = -4323 + 4298. Let s = h - q. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3 + 6 = 0. Let t(f) be the third derivative of -f**5\/60 - 5*f**4\/24 - f**3\/3 - 2*f**2. Calculate t(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8813125.\nAnswer: 5, 59, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l - 178. Let d(p) = 44221*p**2. What is w(d(z))?\nAnswer: 88442*z**2 - 178","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -548, -539, -526, -509?\nAnswer: -488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1ab285 (base 12) to base 4\nAnswer: 1310013011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -223 - -227. Suppose -3*p + d = -113, 0 = -p - 0*d - u*d + 55. Calculate the greatest common factor of p and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66562 and 8?\nAnswer: 266248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.393646 and 0.05 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9548 and 1364.\nAnswer: 9548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -9 (b) -24.7 (c) 230 (d) -1\/8 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o + 11337*o**2 - 11359*o**2 + 0*o.\nAnswer: -22*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.03 + 12.23. Let i = u - 12. Let t = 5.9 + -0.9. What is the nearest to 1 in 3, t, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -16. Let w = 0 - p. Which is bigger: 0.1 or w?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(5*sqrt(22)\/sqrt(2) + sqrt(11)) - (1 + -1*sqrt(2) + sqrt(8)\/sqrt(4) + -4).\nAnswer: sqrt(2)\/6 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 552211.\nAnswer: 11, 17, 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*(o*o*o*(o\/o**(2\/13))\/o*o)\/o*o*o*o\/o**(-2\/11)*(o*o**(-2)*o)\/((o**(-1)\/o)\/o))**(-1\/5))**39 assuming o is positive.\nAnswer: o**(-4731\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -61\/498342 or 0?\nAnswer: -61\/498342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, 4\/11, -5, 1\/5, 5 in ascending order.\nAnswer: -5, 1\/5, 4\/11, 4\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/7 (b) -245 (c) 5 (d) -3 (e) 1 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1305223 + -2?\nAnswer: -1305225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v - 2. Let n be u(5). Factor 3 + 4*c - 2*c**2 - n.\nAnswer: -2*c*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1112*y**2 - 3248*y**3 + 1112*y**2 + 6519*y**3 - 3270*y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.604 + -40.396. Let p = -182 + 180.99. Let o = p - -0.01. Is o >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -8*c**2. Let z(b) = 0*b**2 - 8*b + 8*b + 0*b**2 - 4*b**2. Determine z(a(t)).\nAnswer: -256*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 531 + -531.1. What is the third biggest value in 3, 6, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 2*x**2 - x + 1. Let l(n) = -16*n**4 - 2*n**3 - 15*n**2 - 2*n + 1. Let s(i) = -l(i) + 2*q(i). What is the third derivative of s(w) wrt w?\nAnswer: 384*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000028913 rounded to seven decimal places?\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6891 is divided by 6374.\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -171\nAnswer: -4\/171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -3, 35, -1.315, -17, -0.5 in descending order.\nAnswer: 35, 0.1, -0.5, -1.315, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 335512504 (base 6) to base 10.\nAnswer: 6152728","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = n - 5*c - 32, -4 = -2*c. What is the remainder when n is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -401 divided by -5\nAnswer: 401\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18223?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 890744*z**2 + 979851 with respect to z.\nAnswer: 1781488*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j + 27*j = 12708. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -50121*a**3*x**4 - a**3*x - 15299*a**2 - 4*a*x wrt x.\nAnswer: -601452*a**3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -293 - -292.27. Let l = p - 4.27. Let b = 0 + -0.2. Sort -1\/7, -2\/9, b, l in ascending order.\nAnswer: l, -2\/9, b, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*c + 17 + 486*c - 93*c - 293*c.\nAnswer: 10*c + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -s**6\/24 - 12*s**5\/5 + 16*s**4 - 235*s**3\/6 + 369*s**2\/8 - 53*s\/2 - 2420. Factor l(o).\nAnswer: -(o - 2)*(o - 1)**3*(o + 53)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from zzvvvzzkkkv.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20.1 - 20.6. Which is the second smallest value? (a) 0 (b) 3 (c) k (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of n**6\/120 + 3*n**5\/20 - 5*n**4\/12 + n**3\/3 + n**2. Suppose -2*t = -s + 15, -2 = -4*s - 22. List the prime factors of g(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -516227242.3533 minus -0.4?\nAnswer: -516227241.9533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 744 + 2296. What is the highest common divisor of 95 and q?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + k - 23. Let x be a(4). Suppose -3*m - m - 10 = -5*g, 0 = m. Let v(y) = 2*y**g + 2*y + 21 - y**2 - 17. Determine v(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6379600?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1082*a - 19559 = 8728 - 155 for a.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**(-5\/2))\/y**(-12))**(23\/5))**(2\/9) assuming y is positive.\nAnswer: y**(713\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 7 + 1 + 0 + 7*l - 1 + l**2. Let f be t(-7). Which is the third smallest value? (a) f (b) 1\/6 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = 5*l - 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 + 44*h + 75. Is 51 a factor of d(32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + sqrt(68)\/(sqrt(8)\/sqrt(2)) + 5*(sqrt(17) + sqrt(17) + (sqrt(17) + 1)**2).\nAnswer: 90 + 22*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1742 - 1610. Calculate the remainder when a is divided by (-1)\/(2 + 405\/(-201)).\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 20, -3*a - 728357*m + 728352*m + 34 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -30, 1348, -22?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/2 (b) -3 (c) 0 (d) 1.52 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 49\/11733 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 127*s**2 - 427. Let w(x) = 3*x**2. Determine k(w(i)).\nAnswer: 1143*i**4 - 427","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - 12. Let t(p) = -p + 1. Let o be t(1). Suppose o*i - b*i = -844. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 11*t = -t + 10016171. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1\/5 (b) -0.1 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10122625309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12240 = 2*x - 2*c + 49684, 0 = -3*c. Let m = -12533 - x. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 15*g**2 + 12*g - 20. Let u be p(-14). Is 22 a factor of (u\/6)\/(20\/330)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + 186*b + 3881. Calculate g(-162).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -432, -387, -320, -237, -144, -47?\n\"Answer: -m**3 + 17*m**2 + m - 449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14248.\nAnswer: 2, 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.2 - 1.2. Sort t, 0, -0.2, -3 in descending order.\nAnswer: t, 0, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 4*w**2 + 59*w - 6. Let z be n(-15). Sort -4, z, -2 in decreasing order.\nAnswer: z, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 6*w**2 + w - 2. Let y be x(6). Suppose -4*z - 4 = -3*k, 3*z = k + z - y. What is the units digit of 6\/2 + (0 - k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 4*k + 8, -4*c + 2 = -6*c + 2*k. Let i(y) = y**2 - 5*y + 5. Let l be i(4). Sort -2, l, c in descending order.\nAnswer: l, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1700, 1713, 1734, 1763, 1800, 1845?\n\"Answer: 4*i**2 + i + 1695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-26614)\/(-14))\/(-2 - -3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14385 - 14112 = -13*q for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/(7\/4)*(0 - -448). Let g = i - -7225\/4. Which is greater: 13 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of -d**6\/60 - d**5\/60 + 13*d**4\/24 - 11*d**3\/6 - 565*d**2 + 4*d. Calculate f(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2713?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**3 + 0*p**3 - 2*p**3)*(5*p + 2*p - 3*p) - 24*p**4 - 16*p**4 - 43*p**4.\nAnswer: -91*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (-4 - (-28 - -6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-9) - 125\/45. Let w = o - -5. Suppose 10 = w*h - 4. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 76667634?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 50\/20 + (-1521)\/(-234). Let w(p) = 10*p**2 - 1 + 2*p**3 - 6*p - 4*p**3 - 5 + p**3. Calculate w(z).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/m**2)**(-2)\/(m**(4\/7)\/m**4)*(((m\/((m*m**2*m*m)\/m)*m)\/m)**(-6))**(1\/32) assuming m is positive.\nAnswer: m**(447\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 648 + -635. Suppose 8 = -c*o + 34. Solve d = -o*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/6*(-6)\/45.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11.72 - -0.28. Let m = l - 12.4. Suppose -8 = 4*w - 2*w. What is the third smallest value in 2, m, w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 481385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of -13*u + 235 - 51\/2*u**2 + 4\/3*u**3. Factor m(b).\nAnswer: (b - 13)*(4*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77697929?\nAnswer: 77697929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.176 + 0.024. Let h = -0.2 + 2.3. Let j = h - v. Which is the closest to j? (a) -2 (b) -1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16043, 16044, 16045, 16046, 16047?\nAnswer: 16048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*((-17)\/102)\/((-1)\/(-3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3755321 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 35271801167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - -75\nAnswer: 74.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -1 + -2 + -38 + 45\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25202078?\nAnswer: 2, 11, 181, 6329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -59*d + 471. Determine u(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 195364*t. Let g(l) = -64*l**2. Determine n(g(h)).\nAnswer: -12503296*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most 2\/233387713?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5404, 11710, 18938, 27082, 36136, 46094?\n\"Answer: -y**3 + 467*y**2 + 4912*y + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + (-12)\/(-3) + 1. Let b = -3 + u. Let i(d) = 3*d - 4*d + 6*d**b + 3*d**3. Calculate i(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3524072.5 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -71a (base 13) in base 15?\nAnswer: -556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of -21*v**4\/4 + 929*v**2. Let o(c) = 3*c**2. What is o(k(m))?\nAnswer: 47628*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 472565960?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -379 - -384. Suppose -s = -u*m + 3565, 2*s - 556 = 4*m - 3402. What is the hundreds digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, -4267, 3\/2, -0.19, 3\/7 in increasing order.\nAnswer: -4267, -0.19, -0.01, 3\/7, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.8152 - -0.6222. Round l to one decimal place.\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145944 + 73599 + 292764 + 38383 = 7867*w for w.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 11*d**2 + 1. Let z be (-8 + -1)*10\/(-45). Let t be w(z). Suppose 0*h = 5*h - t. Is 5 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 88 - 100. Let i be (-1)\/(r - (-832)\/280). Calculate the highest common factor of i and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*o = 15*o - 19320. Which is smaller: -922 or o?\nAnswer: -922","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of 2\/9*u**3 - 1\/18*u**4 + 10\/9*u**2 + 59 + 0*u. Factor n(o).\nAnswer: -2*o*(o - 5)*(o + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**2 - 4*a - 99. Let y be r(11). Suppose -2580 = y*j - 119*j. Is 16 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 608614248 and 132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -p - 8, 5*h - 11 - 4 = 0. Let c(u) = u**3 + 9*u**2 - 8*u - 9. Let s(r) = -2*r**2 + 2*r + 2. Determine p*c(a) - 9*s(a).\nAnswer: -2*a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67 - 35 - 32 - 3*l**2 + 41*l.\nAnswer: -3*l**2 + 41*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 + -21. Suppose -5*h + 795 = -5*k - 10*h, h + m = 0. Let a = -80 - k. What is the remainder when a is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/((-16)\/75) - (-11)\/44. Suppose 2*h = -4*s, 24*s = b*s + 5*h + 15. Which is greater: -3\/241 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.755 - 0.756598. Round k to 4 dps.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -448479.3286 - -3263?\nAnswer: -445216.3286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**4 - 2*b**4 - 2*b**4 + (5*b**2 - 4*b**2 - 4*b**2)*(0*b + 2*b**2 + 0*b) + 55*b**4 + 4*b**4 - 4*b**4.\nAnswer: 44*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + (-144)\/(-64))\/(-1 + (-22)\/(-24)). Let u(d) = d. What is u(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**5\/2 - 72*c**4 + 7041*c**3\/2 - 62653*c**2 + 210630*c - 197676 = 0.\nAnswer: 2, 38, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 251\/2699970 and 25\/221.\nAnswer: 45899490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 217*f**3 - 442*f**2 - 8*f + 8. Let s(m) = 650*m**3 - 1327*m**2 - 26*m + 26. Let u(b) = -13*c(b) + 4*s(b). Find the third derivative of u(h) wrt h.\nAnswer: -1326","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*4\/48)\/((-2)\/16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p + p - 6*p + (2*p - 2 + 2)*((-4 + 4 + 1)*(-7 + 11 - 1) + (0 - 4 + 3)*(-1 - 3 + 2)).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-15)\/9 + (-190)\/(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2509\/8 - 314. What is the smallest value in k, -2, -1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5835 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -9*l**2 + 51*l - 26. Let c be o(5). Solve 0 = -c*p - 3*h + 35, 5*p + 4*h + 0*h = 45 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r**4 - 431564*r**3 - 11663953332*r**2 - 1266340849508*r - 2486029338136 = 0. What is r?\nAnswer: -53891, -107, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*t + 2*m + 14, 5*m + 3 = -t. Let u = -108 + 117. Suppose 2*o = -o + u. Solve t*p - o = -d, 5*d - 21 = -4*p - 0*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62414 is divided by 102?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - ((3 - -1) + (-33 - (17 - 69 - -10))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2719*f - 40455. What is r(-15)?\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107891321*h - 12*h**3 + 107891321*h.\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a second in milliseconds?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 12:40 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r - 1. Let h(v) = 3*v + 6. What is -6*f(j) - h(j)?\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - 0)\/((-2)\/(-2) + -2). Suppose -x*h = -5*q - 405, 3*q - 2*h + 213 + 26 = 0. Let o = 98 + q. Calculate the remainder when o is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -246, -190, -94, 42, 218, 434?\n\"Answer: 20*h**2 - 4*h - 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a gram in milligrams?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 14*w**2 + 16*w - 17. Let d be g(15). Let c = d - -4. Let z(x) = -x**2 + 6*x**2 - 3*x**c. Let a(u) = u. What is a(z(j))?\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/9 (b) -3\/611 (c) 2\/11 (d) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45 - 59 - -27) + (-3 - (-9 - -3)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 190795 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -4*w. Suppose 0 = 7*q - 89 - 51. Let s(g) = -q*g - 13*g + 36*g. Determine s(a(t)).\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 47? (a) 3\/4 (b) -20 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 - 1 - -2 - 2. Suppose 4*w = x*g - 0*g + 32, -2*w = g - 2. Suppose 0*d = 2*d - 18. Solve 4*u = -0*u + 3*y + w, 2*u = -y + d for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92\/6*((-180)\/96)\/(55\/(-44))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 91500145357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -139727*a**4 + 77*a - 455 wrt a?\nAnswer: -1676724*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.025 + 0.016. Let o = j - 0.040883. Round o to 5 dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 15b + 80a?\nAnswer: 968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**2 - 10*x**2 + 26*x**2)*(5 - 4 + 0 + 1 - 4 + 8*x).\nAnswer: 152*x**3 - 38*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a hour in minutes?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 120 + -1742?\nAnswer: -1622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -6*f - 18. Suppose -2 = 5*n + f. Let q be (6\/n)\/((-2)\/4). Solve -2*j + 2 = q*y + 2*y, 10 = -5*y - 5*j for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, g: 1, p: 1, i: 1, y: 1, r: 2}. What is prob of picking 1 p, 1 g, 1 r, and 1 y?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a litre in millilitres?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 16*g. Let q be v(1). Suppose 0 = 4*u + 4 - q. What is the units digit of (-1)\/u - (-92)\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43604 divided by -10901.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0, -2\/7, -1\/35, 1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 - 7*w - 6. Suppose -6 = -0*d + d. Let m be u(d). Suppose -i + m*i = -t - 20, 74 = 4*i - t. Is i a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 290 and 22?\nAnswer: 3190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -15*h + h**3 - 9*h + 9*h**2 + h. Let y be p(-11). What are the prime factors of 856\/6 - y\/(-33)?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0*(-1)\/(-5))\/1)\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 r when two letters picked without replacement from aooprrrprpoorrarop.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58125154?\nAnswer: 2, 29062577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.87243 * -3.\nAnswer: -35.61729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 178220?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3111753 to the power of 1\/3, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20 + (-212751)\/(-7) + 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -2*g**7 - 14*g**3 + 2. Find the third derivative of k(v) wrt v.\nAnswer: -1680*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 159 = 33. What is the third derivative of 35*y**2 + 0*y**5 - d*y**2 - 4*y**5 wrt y?\nAnswer: -240*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -190 + 188.93. Let g = u - -1.1. Which is bigger: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7028869, 7028870, 7028873, 7028878, 7028885, 7028894, 7028905?\nAnswer: 7028918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5946 + 1650 + 1804 = 134*v + 54*v for v.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 d when three letters picked without replacement from {u: 1, q: 8, d: 4, c: 5}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*k - k. Suppose -10*o = -8*o - 4. Find the third derivative of -v**k - 5*v + 5*v + 0*v + 2*v**o wrt v.\nAnswer: -120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 2*z**2 + 6*z - 16. What is l(5)?\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 2 (b) -2\/9 (c) -25 (d) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*s - 4*s + 1006719 = 1006596 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 90, -0.5, -842, -4\/5, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 197094025.\nAnswer: 5, 7883761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 65, 35.\nAnswer: 3\/4, 35, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.342 in 0, -2, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1076*q**3 + 347*q**3 - 8872*q**3.\nAnswer: -9601*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-36))\/(-4)*2*3.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -185 + 193. Solve -9 = -3*u, -3*x + k*x + 3*u + 11 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, o: 5, f: 4, y: 4}. Give prob of sequence soo.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1188594 to the nearest integer?\nAnswer: 1090","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2170853 or -32562796\/15?\nAnswer: -2170853","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.39 minus -1662.49667135?\nAnswer: 1664.88667135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 - 8. Suppose -38 = -s*q - 12. Suppose 4*w + 6 = 2*u, 0 = -q*w + 3*u + u - 6. Which is greater: -7\/24 or w?\nAnswer: -7\/24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -22*o + 1 + 47*o - 13*o - 13*o. Let j(s) = -s**3 + 5*s**2 - 4*s + 5. Calculate -4*f(p) + j(p).\nAnswer: -p**3 + 5*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/70*6*(-5)\/3\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 149, 307, 467, 635, 817?\nAnswer: 1019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 80, 2, -1, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -6*p**2 + 21*p + 6. Let c(g) = g**2 + 3 - 4 + 8*g - 12*g. Let h(z) = 4*a(z) + 21*c(z). Find the first derivative of h(t) wrt t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 96 - 92. Solve 6 = -2*p + z*b - 5*b, p = b for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-1 - -1 - (-5 - -10))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56448 and 1066248.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*f + f - 4*f)*(12 - 3 - 52) + (0 + 5 + 3)*(-2*f - 2*f + 2*f).\nAnswer: -145*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mebi when four letters picked without replacement from {e: 2, i: 1, m: 4, b: 2}.\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 376546279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 646 = 4*t + 4*t + 9*t + 5*u, 0 = -2*t - 269*u + 264*u + 76 for t.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -40149 divided by -3\nAnswer: 13383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 1587 = -561. Is j smaller than -716?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 11:48 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 57.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-25)\/(-5)*(0 - -2). Let v be 2*12\/a + -3. Which is smaller: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -445*a + 68598 = 487*a + 922*a for a.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 104 and -8.7.\nAnswer: -904.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 25 = 7*o. Let u = 0.9999 + -0.8799. Is u less than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyyyyyiyyy. What is prob of picking 3 y?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84\/63*6\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -6*c + 42. Let h be n(7). Put 5, h, 30 in descending order.\nAnswer: 30, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 m when four letters picked without replacement from {v: 6, m: 3, r: 8}?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0016700715 rounded to 5 dps?\nAnswer: 0.00167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n + n - 213*n**2 - 2 - n + 5*n - 7*n + n.\nAnswer: -213*n**2 - n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of 205*d**5\/12 - 5*d**4\/12 + d**3\/3 + 874*d**2. Find the second derivative of y(c) wrt c.\nAnswer: 2050","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70258 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -423.85, 0, 0.3 in decreasing order.\nAnswer: 0.3, 0, -423.85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*q + 2*q = 39, 4*j = -q + 80. Suppose 6 = -5*x - j. What is the biggest value in 0.2, -4, x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 - -22. What is the nearest to -1 in i, 2\/5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53601?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1920067 is divided by 132?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 6:30 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1025*s**2*y**2 + 2735*s**2*y - 2*s**2 - 2*s*y**2 - s*y - 3*s - 150*y**2 - 2*y + 14 wrt s.\nAnswer: -2050*y**2 + 5470*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1068*i - 1085*i - 51 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = 5*g - 49, -1176*g = -5*o - 1179*g + 43 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/94405812 or 0?\nAnswer: 1\/94405812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -3\/7, 72, -5, 4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.1 + -0.1. Suppose 0 = -5*n - 4*p, 3*p - 8 = 7. Sort 4\/7, n, w in descending order.\nAnswer: w, 4\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, t: 5, g: 1}. What is prob of sequence tdg?\nAnswer: 5\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + (-9 - (-102)\/12)\/((-2)\/(-22)). Which is the smallest value? (a) -5 (b) -17 (c) t (d) -1 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 - 30*f - 46. What is k(-26)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -9*r**3 + 1455*r**2 + 1161*r - 109343. Give m(162).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = 5*z - 10, -19*z + 15*z + 5 = -3*t for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -64*x - 20 - 2*x**3 + 14 + 10 + 1461*x**2 - 731*x**2 - 729*x**2 to the form k*x**3 + d*x**2 + i*x + w and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -22967, -27415, -31877, -36359, -40867, -45407?\n\"Answer: -n**3 - n**2 - 4438*n - 18527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15397.\nAnswer: 89, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 3 (b) -983 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 229693 by 267.\nAnswer: 229693\/267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 + 183.412386906\nAnswer: 183.462386906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 12 + 0 = -3*y, x = -4*y - 15. Let q be 5\/(y + 4) + 3\/(-1). Solve -3*i = 2*f + 2*f - 24, -q*i - 2*f + 14 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 2 = -5*a - 6, 4*j = -a - 20 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.44 rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 10*q + 9. Suppose 0 = -o - q*m + 78, -418 = -10*o + 5*o - m. Calculate the highest common divisor of 140 and o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 divided by -68?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 134584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10 - -6) + (7 - 0). Solve -2*b + x*l = 15, l + 15 = -5*b + 4*l for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(378) + sqrt(378) + (-2*sqrt(378) + sqrt(378))*-2)*2)\/(-4*(sqrt(486) - (sqrt(486) - -2*sqrt(486)))*1).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 357*o - 4058. Determine j(11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11512\/215 - 12210141\/1720. Let q = p + 7036. Find the common denominator of q and -91\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 10:02 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/17)*d**8*(d*d**1)\/(d*d*d**5\/d*d)*(d**0*d*d*d\/d**(2\/5))\/(d**(-2\/3)\/d**(-2\/9)) assuming d is positive.\nAnswer: d**(4714\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 9 + 7*p**2 + 11*p**2 + 7*p - 17*p**2. Let k be z(-6). Solve k*u - 15 = 0, -12 - 15 = -2*x - 5*u for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5015 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15553376 (base 8) to base 16.\nAnswer: 36d6fe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 239?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 1 + -5 + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -16*z + 64. Suppose -18*p + 23*p + 35 = 0. Calculate the remainder when b(p) is divided by 26.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*p - 2*z, -3*z + 28 = 4*p + z. Suppose p*x = -4*o - 3*x + 15, 4*x + 14 = 2*o. Put o, -4, 3 in ascending order.\nAnswer: -4, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8465 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - 2\/2) + 8\/(-8). Put r, 0, -8 in decreasing order.\nAnswer: 0, r, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*w + 2899 - 3139 = 0 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**3\/10 + 7227*g**2\/10 - 8473248*g\/5 + 6371252046\/5 = 0.\nAnswer: 1623, 2802","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 532477 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1531 - 94009*s**2 + 1531 + 93976*s**2.\nAnswer: -33*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -21*z + 6. Let y(f) = 2*f + 6. Determine u(w) + 2*y(w).\nAnswer: -17*w + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3181*q - 1. Let v(f) = 5*f**2. Give w(v(p)).\nAnswer: 15905*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(336)*-4*6)\/(sqrt(175)*1 - (sqrt(7) - (sqrt(112)\/sqrt(8))\/sqrt(2))))**2.\nAnswer: 248832\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -489, 1\/10, 104?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 504*k*p**2 - 1787*k*p - 9107*k + p + 216 wrt p?\nAnswer: 1008*k*p - 1787*k + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1145*c**2 - 987*c + 603*c**2 - 567*c**2 wrt c.\nAnswer: 2362","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25928434 divided by -1525202\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(4\/5)*h)\/(h*h**3*h)*(h\/(h\/h**0))**(-24) assuming h is positive.\nAnswer: h**(-19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 52453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1230.499 + 1230. Let u = -0.099 - o. Let x = 7 - 11. What is the second smallest value in u, -2\/11, x?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(76)*-2 + 2*sqrt(76)*5)**2 + (3 + 1 + sqrt(1900))*1.\nAnswer: 42*sqrt(19) + 4869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2585, -2621, -2643, -2651, -2645?\n\"Answer: 7*c**2 - 57*c - 2535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 3*p = 63. Suppose 5*t + 3*l + 9 = p, 4*l + 7 = t. Let s(j) = j**2 - 4*j + 3. Determine s(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 141, 1\/4, 3.23, -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 106, 258, 482, 784, 1170, 1646?\nAnswer: 2218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088) - (sqrt(1088) + 1*sqrt(1088)))*-3 - ((-1 + sqrt(17))*-1 - sqrt(119)\/(sqrt(28) + sqrt(7))))**2.\nAnswer: -152*sqrt(17)\/3 + 98201\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -81*q - 211. What is m(0)?\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -11. Let j be l\/15 + 84\/15. Calculate the lowest common multiple of (-39)\/(-6) + (-3)\/j and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*6\/(-6)*2\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -8*2 - ((-64 - 133) + 131). Let -y*c + 1\/2*c**2 + 1250 = 0. What is c?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 + 7*x - 8. Give c(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 k when four letters picked without replacement from ynnknknnnkytyyk.\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11791*o + 638958 + 97084 + 502013 for o.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/25 of a milligram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-748)\/(-36) - (-2)\/9. Let z = 12 + o. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66177953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o - 1. Let m = -5 - -6. Let f be h(m). Solve -2*v = -f - 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-1 - -5) + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4572678 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 11, g: 5}.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 293*h**3 + 297*h**3 - 584*h**3.\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 472, -33\/2, -0.59?\nAnswer: -33\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 12. Let v(r) = -2*r - 5. Let b be v(w). What is the second biggest value in 4\/5, 3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 162, -2\/5, -33, 3, 0.02 in descending order.\nAnswer: 162, 3, 0.02, -2\/5, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 126, 0, -5 in ascending order.\nAnswer: -5, -2, 0, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 1132 = -3*i - 1116, -10 = -h - 3*i for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 108 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -214+0.1319\nAnswer: -213.8681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210*w - 770 = 133*w for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 6) to base 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1326566438?\nAnswer: 2, 113, 5869763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -3*m**2\/2 + 135*m + 14097\/2 = 0?\nAnswer: -37, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 7 - (-2 + (-3 - 0) + -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -2*f**2 + 2125398*f - 8501560 = 0?\nAnswer: 4, 1062695","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1733882 is divided by 1551.\nAnswer: 1415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-9)*(-15)\/(-2). Let i(p) = 1 + 0 - 3*p**2 + h*p + 3*p**2 - p**2. Calculate i(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218 = 4*m - 5*p, -38 = -4*m + 4*p + 182. Let c be ((-16)\/(-12))\/((-32)\/(-888)). Let s = m - c. What is the remainder when s is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-47)\/((-376)\/(-6)))\/(9\/672)\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 34611911?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 - 2*f + 24. Let y be k(0). Suppose -b - y = -64. Suppose -2*l = 3*l - 70. Calculate the remainder when b is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 143 = 2*s + z, 0 = 3*s - 2*z + 220. What is the units digit of 1 + 1156 + s + 71?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x. Let g be (1 - -1) + (-3 - -13). Let k(i) = 2*i + g + 12 - 24. Calculate k(v(y)).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (100\/16)\/(((-1715)\/28)\/(-49))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of j**8\/168 + 11*j**7\/15 + 151*j**6\/60 + 5*j**5\/2 + 11*j**2 + 29. Suppose w(v) = 0. What is v?\nAnswer: -75, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n + 35624 = 2*u + 13*n, -3*u = 5*n - 53442. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of -b**8\/336 + 4*b**7\/35 + 107*b**6\/120 + 23*b**5\/10 + 7*b**4\/3 - 2300*b**2. Determine z, given that r(z) = 0.\nAnswer: -2, -1, 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -9) + 11 + 4 + -15\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -123202010102 (base 4) to base 2.\nAnswer: -11011100010000100010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7044840 a multiple of 11860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 148636188 to the power of 1\/2, to the nearest integer?\nAnswer: 12192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 316753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than -347?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-2))\/((-11)\/(-1254)). Let y = 55 + b. Let m(g) = -20*g**3 + g**2 + 3*g + 3. Does 23 divide m(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3801.865 rounded to the nearest 100?\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 14*a**2 - 10*a - 18. Suppose -2 = -5*g + 33. Suppose f = g + 6. Is u(f) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 + 11*x + 6. Let v be l(12). Let u be 3\/2*(-40)\/v. Solve -2*h + 0 = u for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/((-390)\/(-36))*-5\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 275 and 1507.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1299?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-6))\/(30\/(-540)). Let b(i) = -5*i. Let m(s) = -s. Let o(f) = z*m(f) - b(f). Let p(w) = -27*w. Calculate p(o(h)).\nAnswer: 27*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1\/3)\/y*y**(1\/6)*(y\/(y*y**4\/y))**(-8) assuming y is positive.\nAnswer: y**(137\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/5 - 13526*p\/5 - 2661504.\nAnswer: -2*(p + 1195)*(p + 5568)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 12 = -w. Let k(x) = 2*x - 8. What is the units digit of k(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 + 2*g - 1. Let v be s(-3). Let n(h) = 3*h + 5. Let d(z) = 8*z + 14. Let f(i) = 4*d(i) - 11*n(i). Let y be f(-5). Solve y*c = v*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of f**3\/2 + 7*f**2\/2 + f. Let o(t) = -7*t**2 - 92*t + 93. Let m be o(1). Give u(m).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 8*i**2 + 7*i - 20. Determine v(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 3*l + 699, -2*o = -o - 2*l - 694. Is o a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 2*q - 7*q + 1257, -246 = -q + 2*n. List the prime factors of q.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-2)*(-4 + -1 + 1). Solve -w*t - t = 12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/144 and -49\/276?\nAnswer: 3312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 198561?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.487 in -0.5, 1, 2, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-3))\/(l\/(l**0*l)))**(-1\/59) assuming l is positive.\nAnswer: l**(2\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -54*s - 226. What is the tens digit of r(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -60*n**5 - 307567*n**4 - n**2 - 23747146*n wrt n.\nAnswer: -3600*n**2 - 7381608*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -171*b**3 + 127*b**3 + 21*b**3 + 38*b**3.\nAnswer: 15*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 2:39 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9634 times -0.33?\nAnswer: -3179.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 19*b**3 - 15*b**2 + 7*b. Let a(k) = -9*k**3 + 7*k**2 - 3*k. Determine -13*a(d) - 6*s(d).\nAnswer: 3*d**3 - d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.96 - 1. Let q = -93.37 - -93. Let t = q - g. What is t rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-6)*-4 - (4 + -6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/33 and (1\/(-18))\/((-11)\/(-440)).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30*-9136.\nAnswer: 274080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/15 (b) 11271824 (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8621 + 12871. Let w = 9295 - h. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 98*z**2 - 4*z + 9. Let l(y) = -197*y**2 + 9*y - 20. Calculate 4*l(w) + 9*m(w).\nAnswer: 94*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0603? (a) 5.79 (b) 0 (c) -34 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 295348 = 4*g + 4*k, 0 = 31*g - 36*g - 2*k + 369203. What is the hundreds digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 3920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 38*q**2 + 1714*q + 191. Let a be m(-45). Let n(v) = -6*v - 11. Let d(t) = 17*t + 33. Calculate a*n(j) + 4*d(j).\nAnswer: 2*j + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 5*c - 3. Calculate the smallest common multiple of 4 and m(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5713 is divided by 2821.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -10388 (base 12) to base 6\nAnswer: -242252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**2 - 17*g - 2. Let p be n(7). Does 5 divide p\/(-3) - (7 - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 21*f + 16*f = 1211, -l + 397 = -5*f. What is the highest common factor of 1480 and l?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 8:09 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j + 3*j + 2*j**2 + (-j + j + 2*j)*(-2 + 2 + 4*j + (-2 - 2 + 3)*(-5*j + j + 3*j) - 4 + 4 - 2*j + 5*j - 5*j - 2*j + j + 3*j - 3*j).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 428533?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6}. Give prob of sequence bbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 28, -7, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m + 15*m - 15 = 0. Suppose 3*q - 648 = 5*d - 116, -872 = -m*q + d. What are the prime factors of q?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9050.711 weeks in milliseconds?\nAnswer: 5473870012800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/8 and 80\/21?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 3:52 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2474334 - 1647763. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1121, 8051, 26873, 63533, 123977, 214151, 340001?\n\"Answer: 991*m**3 - 7*m + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -264667, -264514, -264361?\n\"Answer: 153*c - 264820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 4*g - 3840, -g + 5*k = 10*k - 983. What is the hundreds digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**3\/7 - 2*h**2 - 48*h\/7 + 360\/7 = 0 for h.\nAnswer: -5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -263*l**4*u - 24*l**2*u**2 + 2*l**2 + l*u**2 + 3667*u**2 + 5 wrt l?\nAnswer: -3156*l**2*u - 48*u**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*i, -5*k + 4*k + 30 = 2*i. What is the least common multiple of 16 and k?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 161677559*p**3 + 2*p**2 - 78*p + 3117 wrt p.\nAnswer: 970065354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or 105?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 86393882?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**2 + 1096*z - 8886. Determine w(-556).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1073811823.\nAnswer: 7, 73, 317, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2098241 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 515567029?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (111\/1)\/(3 - 2). What is the common denominator of -57\/10 and s\/(-20) + 3\/12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274793*u + 25 = -274786*u - q, 0 = -q - 11 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34 + 82. What is the remainder when 3864\/t + 1\/2 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -226, -446, -662, -874?\n\"Answer: 2*m**2 - 226*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -100011?\nAnswer: -100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f + 16. Let k = -124 - -134. Give b(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f - 86*f + 98140 = 0. Is 0 > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 16749 = 4*q - 5*q, 3*q + 25116 = 3*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -8*o**4 + 23*o**3 - 19*o**2 - 50*o - 10. Let b(m) = 3*m**4 - 11*m**3 + 10*m**2 + 24*m + 4. Let t(q) = -5*b(q) - 2*x(q). Suppose t(f) = 0. What is f?\nAnswer: -10, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 4, -3, -2, -1, -20 in increasing order.\nAnswer: -20, -3, -2, -1, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -2. Let o be (28\/(-12))\/((-1)\/3). Let c = o - -1. Calculate the greatest common divisor of c and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((95\/(-57))\/((-7)\/6))\/(-4). Which is the nearest to -1\/4? (a) 0.4 (b) z (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 13*w**2 + 12*w + 5. Let h be k(12). Suppose n = -x + h - 14, 4*x + 22 = 3*n. Let d(q) = -4*q. Let i(l) = 9*l. Determine x*d(r) - 3*i(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5550*h**5 + 923*h**2 + 1?\nAnswer: 333000*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 2*r - 6 + 22, r + 3 = 0. Let x be 1\/(-3)*(5 + -5). Suppose x*v - 12 = 4*v. Which is greater: v or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -7*j + 2*j + 625, 5*j - 620 = 3*t. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3220 (base 4) in base 11?\nAnswer: -1a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + 14. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*(n*(n*n**(3\/4))\/n)\/n))**(-47)*n**(-25)\/n**(8\/9))**33 assuming n is positive.\nAnswer: n**(3707\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 12334124 (base 5) to base 4\nAnswer: 131211030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**5 + 20857*o**4 + 97386*o**3 + 83498*o**2 - 97383*o - 104355 = 0.\nAnswer: -3, -5\/3, -1, 1, 6957","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fifty-three quarters of a meter?\nAnswer: 1325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 7326?\nAnswer: 14652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6.838475 decades?\nAnswer: 68.38475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2*x**3 - 1 + (-4*x - 3*x - 15*x)*(4*x**2 + 0*x**2 + 5*x**2) to p + w*x**3 + d*x**2 + a*x and give w.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*558810.\nAnswer: -167643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1163009358?\nAnswer: 2, 3, 7, 127, 72679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -3*t + 18, -5*t + 4*x - 3*x = -22. Suppose t*i + 4*f - 21 = 5*f, 4*f - 11 = i. Put i, 8, 1\/4 in increasing order.\nAnswer: 1\/4, i, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4502?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -34?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 8, -4*k + 7*u = 4*u - 660. Calculate the lowest common multiple of k and 351.\nAnswer: 2106","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c + 3. Let t be u(0). Put 1, t, 5 in decreasing order.\nAnswer: 5, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -9.4. Put m, 16, -5 in decreasing order.\nAnswer: 16, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000243432 to seven decimal places.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and -126.78.\nAnswer: -126.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -3*n + 10. Suppose 0 = -h - 4*u - 6, -2*u - 1 = 3. Find the second derivative of 2*j**h + 2*j + j**5 - 2*j**n wrt j.\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 593 + -363. Suppose 3*l + m = 1910. What is the highest common divisor of 35 and l?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 3:09 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(153) + -2 + -1)*-1)**2.\nAnswer: -18*sqrt(17) + 165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 234185, 469063, 703941?\nAnswer: 938819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 1. Let r = 2 - c. Suppose 0 = 3*i + r*i. Are i and 0 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -1. Let x(z) = 12*z + 4. Calculate -4*j(q) - x(q).\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.3 - 0.7. Let x = 4 + -4.1. What is the closest to 1 in i, x, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-22)\/(-6) + -3)\/((-2)\/(-96)). Let n = r - 21. Let p be (0 + 1)*n\/((-11)\/(-28)). Calculate the greatest common divisor of p and 112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69101381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 509559766 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 0 = 4. Suppose -125 + 13 = -x*d. Calculate the highest common factor of d and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -13*d + 28*d + 4*d + 2 + 4*d + 20*d. Calculate n(1).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 2 r, and 1 c when four letters picked without replacement from qncrqclqrqc?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 531615167 to the power of 1\/2, to the nearest integer?\nAnswer: 23057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(9\/3) - -3. Let k be -3 + (i - 0) - -12002. Round k to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 400 - 399. Let z = -287\/114 - -1\/57. What is the closest to s in -4, -6, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -25 + -12?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - 1 - (-3 - 2). Let u(k) be the first derivative of z + k**3 - 1\/2*k**2 - 3\/4*k**4 + 1\/5*k**5 + 0*k. Determine x, given that u(x) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*b = b - 2, -20 = 4*v + 2*b. Let c = -14 - v. Let n(w) = -w**3 - 6*w**2 + 7*w. Calculate n(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -326914 to the nearest 10000.\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -361*y**3 - 1365*y**2 + 18. Let f(t) = -2165*t**3 - 8190*t**2 + 105. Let r(q) = 35*b(q) - 6*f(q). Find the third derivative of r(h) wrt h.\nAnswer: 2130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1 + sqrt(175) + -5).\nAnswer: -18 + 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 + -34. Suppose -p + 6 = -n. Is p even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4225094+47\nAnswer: -4225047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49\/(-7)*(-319)\/(-203).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 a, and 1 j when three letters picked without replacement from aamajmammmammmamm.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -0.153268\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2c0 (base 14) to base 10\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + 5. Solve m*p = 19*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yw when two letters picked without replacement from {z: 7, y: 2, h: 1, n: 2, w: 1, j: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -218 - -218.9. Let s be 10*3\/12 + -2. Which is the closest to 1? (a) 2\/13 (b) s (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kurr when four letters picked without replacement from srkrdru.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -324*c**5 + 10815912*c**4 + 27646436*c**3 - 122057048*c**2 + 49677040*c - 5341600 = 0.\nAnswer: -5, 2\/9, 2, 33385","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 99863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15588543 is divided by 1633.\nAnswer: 1558","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 2*d - 62, -4*l + 106 = -0*d - 2*d. Does 8 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t - 6. Let z be (46\/(-6))\/(5\/(-30)). Suppose 5*x - 35 = 5*q + 25, -z = -5*x - 2*q. What is the units digit of n(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + (-16 - (-15 - -16)) + -1 - 10.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29867687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2984 + -1966. What is the hundreds digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of g**7\/5040 - g**6\/180 - g**5\/20 - 3*g**2. Let m(p) be the third derivative of l(p). Let w = 0 - -4. What is m(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*l - 31*l + 28 = 0. Let t = -0.1 + 0.1. Which is the nearest to -3? (a) l (b) -0.4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 8. Suppose 3*w + 3 + 33 = d. Let b(y) = -y - 5. What is the units digit of b(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)*-3*2*5*-4)\/(6*((sqrt(1440)*3 + sqrt(1440) - sqrt(1440)) + sqrt(1440))*5).\nAnswer: sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, v: 1, j: 5, i: 7, u: 1}. Give prob of picking 1 i and 1 j.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*d - 749*r + 21 = 26*d - 752*r, -4*d - r + 23 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -110231 and 0.1.\nAnswer: -11023.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m - 3. Let l(a) = a**3 + 7*a**2 + 5*a - 4. Let x be l(-6). Suppose -15 = x*j - 3. Give o(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2728 and 2356?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 4*j**3 + 5*j**2 - 91*j - 388. Determine s(-4).\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6261 + -474.\nAnswer: 5787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 4*m**2 - 3*m + 3. Let x be a(2). Let k = -16 + 21. Solve -w - x = -3*j + w, j + 7 = -k*w for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48 by 24.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 55356, 49800, 44244, 38688, 33132, 27576?\n\"Answer: -5556*t + 60912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*p**4 - 114*p**3 + 120*p**2.\nAnswer: 3*p**2*(p - 4)*(7*p - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2 + t**3 - 2 - t - 3*t + 5*t**2 - 1. Give u(-6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 235*d**3 - 63*d?\nAnswer: 1410*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2267281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 5*d + 31 = 3*d - 5*d + 7*d, 12 = 3*d for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80.50073 millimeters to kilometers.\nAnswer: 0.00008050073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**2 + 12*n - 12*n. Let r(b) = 422 - 846 + 424 - 2*b. Determine p(r(v)).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6771*y + 3635*y + 65918 = 7155*y + 292320 for y.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7390, -14109, -19490, -22861, -23550, -20885, -14194?\n\"Answer: 112*y**3 - 3*y**2 - 7494*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -39, -80, -99, -90, -47, 36, 165?\n\"Answer: y**3 + 5*y**2 - 63*y + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 PM and 4:12 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.61 and 0.5?\nAnswer: 0.305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - (-555)\/(-20) - 3\/(-4). Which is greater: -23 or l?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 973*l + 7274. Is 321 a factor of p(43)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12\/(-15))\/(5 - 343\/70). Sort -3, o, 2\/13 in decreasing order.\nAnswer: 2\/13, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -740886, -740964, -741042, -741120, -741198, -741276?\n\"Answer: -78*q - 740808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -26*r**3 + 15*r**3 + 6*r + 14*r**3 - 5 - 4*r**2. Calculate the smallest common multiple of d(2) and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-24)\/(-48))\/(1\/(-28)*-2). Let t be 1*(-6)\/(-3) + 4. Is t != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/189*-41 - 13\/(-91). Suppose 0 = -2*r + 3*r - 1. Let h be (r - -2)*3\/(-9). Which is greater: h or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -3*q - q - 142, 4*q - 166 = -a. Let j(b) = 153 - 8*b - 307 + a. What is j(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 10:34 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 4*x + 20 = 0, -4*o - 5*x - 36 = -15. Let b = 6 - o. Let r be (-4)\/b - 176\/(-40). Solve 10 = -r*k - 2 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -257*f - 16051*f**2 + 8031*f**2 + 257*f + 8032*f**2.\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6.81776, 0.02, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15609)\/627 - -25 - 764\/38.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*q = 10. Suppose -3*o - 2*o - 5*x = -175, x = q*o - 58. Is 14 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2032103 - -5?\nAnswer: 2032108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3880441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2987, 5978, 8969, 11960, 14951?\n\"Answer: 2991*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i + 2*f = -9*i - 6, i - f - 2 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*r + 1504 - 10*r - 1508 wrt r.\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -316435\/984 + 2569\/8. Let u = 5959\/1230 - h. Calculate the common denominator of u and (-397)\/(-80) + 4\/(-10).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - 3*z - 2*z)*(7*z - 35*z - 5*z)*(-32 + 96 - 34).\nAnswer: 990*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 19731856943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**3 - 2*u**2 - 3. Calculate n(-4).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -362232*l**5 + 361899*l**5 + 2 - 2 + 3208*l**2 wrt l.\nAnswer: -19980*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -96403 (base 10) to base 8\nAnswer: -274223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 10, -3, -62, -191?\nAnswer: -414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1107 + 15655?\nAnswer: 16764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 82, 179, 310, 469, 650?\nAnswer: 847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from untuznttnqutu. What is prob of picking 3 u?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*d + 97*d + 95*d - 291*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/329, -5, 51\/2, -0.1?\nAnswer: 2\/329","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/((75\/35)\/(4\/(-14))).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((0 - 1) + 0)\/1. Let w(q) be the third derivative of -q**6\/120 + q**5\/10 + q**4\/3 - 4*q**3\/3 + 2*q**2. Let i be w(7). Is i greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 17.7 and -0.2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*1\/(-9)*-3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 4*l**5 - 17464*l**4 - 17476*l**3 + 34936*l**2 = 0.\nAnswer: -2, 0, 1, 4367","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15368670455 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -4*o - 17. What is the common denominator of 49\/o + (-2)\/(-8) and 95\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2050253 - 5?\nAnswer: -2050258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/7832 and 89\/4.\nAnswer: 7832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 18*u - 71*u - 12*u + 28*u in the form z + r*u and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 10:08 AM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 545772166?\nAnswer: 2, 272886083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3402\/137539 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 2*j**2 + j + 2. Let p be (((-216)\/(-10))\/1)\/(-12 - (-976)\/80). Let r be (-4)\/(-18) - (-1976)\/18. Let c = p - r. What is l(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3456.1 - -3457.08. Is c less than or equal to -3\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -173 - 124 - 259 - 262 + v + 75 to the form k + y*v and give k.\nAnswer: -743","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggqff. What is prob of sequence qg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.02 (b) 373 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*k - 35*k = -2*v + 4, 3*v = 2*k + 14. Which is the nearest to 117? (a) 6\/11 (b) 1\/10 (c) k (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 6043523?\nAnswer: -6043524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 * -7498.\nAnswer: -5248.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2392*z + 618*z - 10550 - 74602 = 0 for z.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 8*r**2 + 2*r - 8. Let f(v) = 10*v**2 + 3*v - 9. Calculate 5*f(a) - 6*t(a).\nAnswer: 2*a**2 + 3*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 56 - -410. What is the hundreds digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, p: 1, n: 5, x: 5, h: 1, m: 5}. Give prob of sequence xpxh.\nAnswer: 5\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 - -3847594506.8?\nAnswer: 3847594529.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 295 and -0.9684.\nAnswer: -285.678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 65062.6 milligrams in kilograms?\nAnswer: 0.0650626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.058748 + -0.2\nAnswer: -0.141252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x**3 - 5*x**3 + 0*x**3 + (0*x - 2*x - 5*x)*(-5*x**2 - x**2 + x**2))*(x + 2 - 2*x + 0*x).\nAnswer: -34*x**4 + 68*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2496) + sqrt(2496)*-2 + sqrt(39))*1)\/(-1*sqrt(12) + sqrt(3) - sqrt(75)*-2) + 0.\nAnswer: -7*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + -2. Let l be 13\/(-5) - (4 + j). What is the closest to -1 in 1\/4, l, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -1\/11 (b) 5 (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -115 + -52. Let y = -72 - d. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**2\/5 - 50244*x\/5 - 19878598 = 0. Calculate x.\nAnswer: -1843, 26965","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -362*p = -357*p + 4*s - 32, p + 2*s - 4 = 0 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11476?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v**3 + 2*v**2 + 3*v - 5. Let l(w) = -10*w**3 + 6*w**2 + 10*w - 14. Let t(x) = -8*g(x) + 3*l(x). Let t(d) = 0. Calculate d.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -11*j**2. Let h(x) = 2*x**2 - 3*x - 6. Let a be h(0). Let s(t) = -12*t**2. Determine a*s(k) + 7*m(k).\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1367 - 683 + 740*c**4 - 685 - 2*c**3 - 2*c**2 to the form n + w*c**2 + x*c**4 + o*c**3 + b*c and give x.\nAnswer: 740","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-9)\/36)\/((-77)\/8). Which is smaller: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -117, -47, -77 in descending order.\nAnswer: 4, -1, -47, -77, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.4839 rounded to the nearest integer?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2*f + 300 = -0*t, -747 = -5*t + 2*f. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34538*n + 34538*n + 93*n**3)*(-n + n - 2*n)*(12 + 3 - 10).\nAnswer: -930*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 19 + 42 - 18 = -3*z, 15 = -3*z for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -5*k**2 - 19*k + 20. Calculate y(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of 0 + 2\/5*c**6 + 0*c - 2\/15*c**7 - 1\/3*c**4 - 1\/5*c**5 + 0*c**3 - 2*c**2. Suppose h(o) = 0. What is o?\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 53 - 32. Suppose -22*p = -f*p + 46. Is p smaller than -46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -85823, -171613, -257405, -343199, -428995?\n\"Answer: -q**2 - 85787*q - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 77, 132, 173, 194, 189, 152, 77?\n\"Answer: -o**3 - o**2 + 65*o + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -159481 and -1617?\nAnswer: 257880777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4277 + 4?\nAnswer: 4281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 1\/5 (c) 13 (d) 2 (e) -0.103 (f) -0.5 (g) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 4*m = 0, 0*r + 5*r - m = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 6*i**2 + 15*i + 5. Let t be s(-8). Let p = 24 - t. Calculate the remainder when p is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000045159 rounded to 7 dps?\nAnswer: 0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sxsz when four letters picked without replacement from zxxxsxzzzzzssxzz?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 8:31 PM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 - 29. Is h not equal to 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91714 is divided by 6055.\nAnswer: 889","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 + 20. Suppose 0 = k - y*k - 3. Which is greater: -2\/51 or k?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.010906 and 3572.1529.\nAnswer: 3572.163806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000042459694 rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2. Suppose -5*z + 15*z = 20. Let j(y) be the third derivative of -2*y**z - 1\/15*y**5 + 0*y + 0*y**3 + 0*y**4 + 0. Determine o(j(w)).\nAnswer: 16*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/2)\/((-5)\/(-30)). Let g = i - -33. Let t be (-2)\/(-4) + (-26)\/g. Is 0 smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 z when two letters picked without replacement from zzzsszy?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -751*y**3 + 11*y**2 + 44*y - 7. Is l(-3) a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3602403621?\nAnswer: 3, 400267069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1763, -3530, -5311, -7112, -8939, -10798, -12695, -14636?\n\"Answer: -w**3 - w**2 - 1757*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.174351 to 1 dp.\nAnswer: -20.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - 41*f - 96. What is r(-38)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 19961687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 31 + 28 = 5*l, 2*b + 16 = l. Suppose 0 = -p, t + 2*p = 2*t - l. Solve w + w = t for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1159815*6.\nAnswer: -6958890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 + -49 - (0 - 25).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 334*r - 337*r - 4*i = 22, -2*r + 2*i - 10 = 0 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 644, 636, 628, 620, 612, 604?\nAnswer: 596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 6*t - 18 = -5*p, 0 = 3*t - 3*p. Suppose -15 = -t*s + 9. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.92699867 rounded to one decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13738 is divided by 650.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1be63 + -2?\nAnswer: 1be61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p + 60481 + 64619 = 0. What is the remainder when p is divided by 97?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -21, 0, 4, -523.\nAnswer: -523, -21, 0, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 572 is divided by 122?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -34504 * 1053\nAnswer: -36332712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69*-0.3.\nAnswer: -20.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 8, 1026 in ascending order.\nAnswer: -11, 8, 1026","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3247 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 278.609kg to grams.\nAnswer: 278609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2856 - 3705*m**2 - 3674*m**2 + 7332*m**2 - 2856.\nAnswer: -47*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 31 - 685?\nAnswer: -654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 9:53 AM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**3 + 19404249*r**2 + 77617008*r + 77617012 = 0. Calculate r.\nAnswer: -2, 19404253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*q + 2. Which is the closest to 0? (a) q (b) 3 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-9)\/(-4))\/((-2)\/48). Let f be -64 - 3\/((-7)\/(-98)*-6). Let o = h - f. Solve 0 = m + 4*m + 20, -o*a + 2*m + 8 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -4*j - 90 - 86 - 83 + 251. Let d(u) = 5*u + 7. Determine 3*d(a) + 2*t(a).\nAnswer: 7*a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*o + 13 - 113 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iix when three letters picked without replacement from aiaaiiwaxxwxa?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00019543722 to 5 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 88, 0 in decreasing order.\nAnswer: 88, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/8 of a millimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -5*f. Let r(c) = 69*c - 41. Let j(g) = 32*g - 20. Let a(i) = 13*j(i) - 6*r(i). Give a(p(v)).\nAnswer: -10*v - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 4*o = -44, -6*o + 63 = -4*f - 4*f + 5*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**3 + 4*o**2 + 2*o + 805 - 805 as g*o**2 + w + b*o + q*o**3 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14173*u - 4*u**2 + 14172*u - 4*u**2 + 14172*u - 56681*u + 14164*u.\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 307, 675, 1209, 1993, 3111, 4647, 6685?\n\"Answer: 14*i**3 - i**2 + 273*i + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 7*c**2 - 8. Let y be j(-7). List the prime factors of (-3 - y)*-1*-2.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, g: 2}. What is prob of picking 2 a and 2 g?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4*p + 156 = 0, -2*j - p + 80 = 15. Suppose -j = -4*k + 4*t, -2*k - 5*t + 2 + 0 = 0. What is the remainder when 15 is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 5*c**3 + 309*c**2 + 1337*c + 3. Let m(u) = 3*u**3 + 313*u**2 + 1336*u + 2. Let b(l) = -4*m(l) + 3*s(l). Find the second derivative of b(o) wrt o.\nAnswer: 18*o - 650","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((2592\/(-30))\/(-8))\/(1\/(-25)). Let c = 1393 + q. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2262365 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4752871 to the power of 1\/3, to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -12220011120110 (base 3) in base 2?\nAnswer: -1011111100111000000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*r + 8. Let a be -4*(204\/(-16) + r). Let m be (-8)\/12*15*a. What is m rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3212*k**3 - k**2 + 34*k - 33. Is t(1) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 h, 1 p, and 1 m when four letters picked without replacement from {m: 1, a: 2, h: 2, j: 2, p: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 86*x - 91*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41 + 23. Let j be (-4)\/x - 1040\/(-180). List the prime factors of (-16 - -13)*(-122)\/j.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/6)\/((-33)\/(-1386))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.38 (b) -0.4 (c) -3 (d) -16\/7 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**2\/4 - 255*s - 1015\/4.\nAnswer: -5*(s + 1)*(s + 203)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 532*c = 515*c + 12019. What are the prime factors of c?\nAnswer: 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1263*a + 2516*a - 1242*a + 2*a**2 as w*a**2 + g*a + p and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 74 (b) 0.13 (c) -0.1 (d) -2\/9 (e) 5 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of y**4\/4 - y**3 - 3*y**2\/2 + 4*y + 3. What is the remainder when l(4) is divided by ((-10)\/4)\/(2\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 - b**2 - 2 + 3*b**2)*(-4 - 30 - 12).\nAnswer: -92*b**2 + 92","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 2081?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -3*x - 26. Let t(u) = -u - 9. Let k = 25 - 21. What is k*d(v) - 11*t(v)?\nAnswer: -v - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 522 divided by 261.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123822522.\nAnswer: 2, 3, 53, 129793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2 + 4 = 0, o - 10 = -k. Suppose 3*w = o*w - 52. Let j = 36 - w. List the prime factors of j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11078 is divided by 66?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 divided by 591.\nAnswer: -47\/591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-37)\/444 - 19\/(-84)) + (-1616)\/9744. Is b at most 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -303, -3\/8, 3.\nAnswer: -303, -15, -3\/8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 - 2 = -3*i, a - 277 = -5*a + a + 48*i - 4*i for a.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, 2.6159, 2\/13?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of 11*l**8\/168 + 8*l**5\/15 + 4*l**2. Find the third derivative of i(h) wrt h.\nAnswer: 1320*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25299 and 936063?\nAnswer: 936063","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: 11020000 (base 3) to base 8\nAnswer: 6006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*v + 1519 = -98 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1585 + -0.15853293. Round r to 6 decimal places.\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27119 and 235.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-30)\/(-6) - -17) + 8. What is the highest common divisor of h and 19230?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 336 and 378?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 44. Let y(u) = -53. Let x(d) = -6*a(d) - 5*y(d). Let f(b) be the second derivative of -b**3\/3 + b**2 + 11*b. What is -f(k) + 5*x(k)?\nAnswer: 2*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(-2\/3)*z**(-1\/5)*z*z assuming z is positive.\nAnswer: z**(32\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 592620165 and -28.\nAnswer: 592620137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*i + 2*i + 3159 = -8*i. Let r(x) = 3*x**3 - 3*x**2 + 3*x - 4. Let n be r(-3). Let w = i - n. Solve -3*h = -w*a + 7, -5*a = -4*a + 2*h - 10 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2846464 and 96.\nAnswer: 8539392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1490*t**2 + t + 1476*t**2 - t.\nAnswer: -14*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1124631 + 1?\nAnswer: -1124630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 187*y**3 + 0 - 4.\nAnswer: 187*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/119? (a) -0.06 (b) -1 (c) -5\/4 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1*c*c*c**(5\/2)*c)\/((c*c**(-2\/7))\/(c*c\/(c*c\/(c*c**(-4)*c*c)*c*c))) assuming c is positive.\nAnswer: c**(39\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -6*g**3 + 181*g**2 + 91*g. Let u be a(10). Solve -u*y + c - 8 = 0, 4*y + 5*c = 3*y - 15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -46 (b) -51 (c) 0.0292 (d) -0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-7))\/(3\/(-3))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.34, -834, -2\/5, -2\/15.\nAnswer: -834, -1.34, -2\/5, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -110e (base 15) to base 13\nAnswer: -1850","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5275 or 5280?\nAnswer: 5275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 5*x + 2, 0 = -2*j + 3*x + x - 14. Is 0 + -1*(-40 - j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -604 divided by 151?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -4*l + 3*l + 3*l + 1 - 4. Let i(p) = p - 1. Determine i(n) - u(n).\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.231 - 1.371. Let z = s - -1.24. Is z >= 2\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -18. Let r = -14 + g. Let o = r - -17. Which is the nearest to 1\/3? (a) 5\/4 (b) o (c) -1\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9305260 is divided by 67?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in -0.06, -37, 3\/4, 1362?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 166 - 164. Is g bigger than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -53 - -55. Suppose -i*k = -14 - 4. Let r(j) = j**3 - 5*j**2 + 4*j. Let q be r(4). Solve q = -3*t + k for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36ca (base 15) to base 7.\nAnswer: -46003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 66571536*n**2 - 58874793.\nAnswer: 133143072*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-1 + 1*((sqrt(192) - (sqrt(192) + -2 + sqrt(192))) + sqrt(192)) + (sqrt(3) + -3 + 1 - -4*(sqrt(3) - ((sqrt(3) - sqrt(192)) + sqrt(3)))))*5)**2.\nAnswer: -5800*sqrt(3) + 252400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3518, -6752, -9982, -13208, -16430, -19648?\n\"Answer: 2*l**2 - 3240*l - 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7648870 and 5?\nAnswer: -38244350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -355, -834, -1441, -2176?\nAnswer: -3039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -2\/11, -13\/23, -4, -1\/4 in ascending order.\nAnswer: -4, -13\/23, -0.5, -1\/4, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2781.33408 minutes in weeks?\nAnswer: 0.275926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x + 23. Let y be q(0). What is the third derivative of -y*v**2 + 49*v**2 - 24*v**2 - 2*v**4 wrt v?\nAnswer: -48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1786 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 69 + 19 = 0. Suppose -7185 - 3080 = -c*d. Let t = d + -14. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -7*c**4 - 4*c**3 + 4*c + 4. Let k(q) = -4 - 1 + 8*q**4 - 5*q + q + 5*q**3. Let w(u) = 5*f(u) + 4*k(u). What is the second derivative of w(l) wrt l?\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.198783 - -0.2. What is j rounded to 4 dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f + 2*f**3 - 1 - 3*f**2 + 3*f + 2*f**2. Suppose -5*h + 5 = -0. Let k be u(h). Is k equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-5))\/(1\/5). Suppose -b*y + 35 = 3*y. Calculate the highest common divisor of 49 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - -17)*(-2)\/6.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -4\/993?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 31*a = 35*a + 24, 3*t = 2*a + 20. Solve t*j = -12*j - 48 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s + 5. Let l(v) = 4 - 8 + 3 + 2. Calculate -6*l(q) + y(q).\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.8 take away -3?\nAnswer: -21.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -12*m**2 + 11*m. Let w(c) = -6*c. Give w(l(v)).\nAnswer: 72*v**2 - 66*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z - 1. Let n(t) = -7*t**3 + 11*t - 11. Give -22*k(y) + 2*n(y).\nAnswer: -14*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6\/247 + 8368\/1235. Calculate the common denominator of -28\/79 and c.\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j*j**9)\/j)*j\/(j\/(j**11\/j))*(j**(-6\/7))**34)**(-8\/5) assuming j is positive.\nAnswer: j**(304\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 27712135 to the power of 1\/2, to the nearest integer?\nAnswer: 5264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x**3 - 12*x**2 + 7*x - 7. Let r(h) = -h**2 - 43*h + 94. Let u be r(-45). Let n be v(u). Solve -n + 29 = -4*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1099967523 to the nearest integer?\nAnswer: 33166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1846\/7 - 264. Put -11, -12, c, -5 in descending order.\nAnswer: c, -5, -11, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201*g - 199*g + 569*g - 169*g - 2*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 16*l - 11*l. Let m be 466\/14 + (l\/14)\/(-4). Calculate the greatest common factor of m and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9651981 divided by 18\nAnswer: -3217327\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 0. Let l(b) = 4*b**2 + 4*b - 2. Let t(x) = 8*x**2 + 9*x - 5. Let p(n) = m*l(n) + 2*t(n). Find the second derivative of p(h) wrt h.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - 106*k - 2333. Let s be a(-67). Calculate the highest common factor of 490 and s.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hggh when four letters picked without replacement from cgggdchggccccghccg.\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 100 - 197 + 23*a**2 + 98 to h + u*a**2 + t*a and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 1)*2 - 2. Let f(m) = 3*m + 1. Let g be f(v). Solve -2*o + o - g = 2*l, -5*l - o = -5 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.07825503 rounded to 1 decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 78*a**2 + 62*a**2 + 2 - 38*a**2 + 67*a**2 - 7*a**2 in the form v*a**2 + k*a + w and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/4)\/(d\/((d\/(d*d**2\/d*d))\/d)))\/(d\/(((d\/(d\/(d**(2\/7)\/d*d)*d))\/d*d)\/d))**(2\/83) assuming d is positive.\nAnswer: d**(-8867\/2324)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1257, -2515, -3773, -5031, -6289, -7547?\nAnswer: -8805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5889 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9746, -19680, -29616, -39554, -49494?\n\"Answer: -p**2 - 9931*p + 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13932\/7 + 1990. Let r be (-15)\/28 - 1\/(-4). Which is the nearest to r? (a) -2\/3 (b) -1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -9, 2, 0, 87 in ascending order.\nAnswer: -9, 0, 2, 3, 4, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5758 divided by -64\nAnswer: -2879\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tyljtyttyklqyyy. Give prob of picking 2 t.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -2699687\nAnswer: -2699693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in -2, 11, -2\/7, 0, -1, -0.252773?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -61 - -40. Let c = p - -18.7. Let y = c - -10. What is y rounded to zero decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 235 and 44979?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33452?\nAnswer: 2, 8363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67, 5, 4, -4, -15.\nAnswer: -67, -15, -4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -68\/194215 and 141\/62650.\nAnswer: 1942150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11497 times 0.1926?\nAnswer: 2214.3222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 2616 = 3704. Suppose d + t = -5*b, 0*b + 3835 = -5*d - 2*b. Let p = d - -1306. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2*(sqrt(605)*-1 + sqrt(605)) + sqrt(605) + -4 + (sqrt(605) - (sqrt(605) - sqrt(605)*1) - sqrt(605)) - 1*(-5 + sqrt(605) + sqrt(605)*-2))**2.\nAnswer: 44*sqrt(5) + 2424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 12922*m + 26487. What is h(-2)?\nAnswer: 643","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + 9*z + 8. Let y be a(-8). Factor 2*m**2 + m**5 - m**3 + 0*m**5 - 2*m**4 + y*m**3.\nAnswer: m**2*(m - 2)*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 0) + (-936)\/10. Let q = 92 + b. Let s = 5 - 5. Is s at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145773.\nAnswer: 3, 5399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 105*c + 101*c - 34 = 0, 0 = -5*k - c for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y**3 + 26*y**2 - 8*y - 17. Give n(-10).\nAnswer: -337","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 6*w + 1. Let k be y(4). Let r = k + 45. Calculate the remainder when (-2)\/(-9) - (-284)\/18 is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of -z**7\/350 - z**6\/50 - 3*z**5\/100 - z**2 - 12. Factor s(j).\nAnswer: -3*j**2*(j + 1)*(j + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 688*t + 36 = -693*t, -t = 5*y + 67 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of o**3\/3 - 22. Let w(g) = 7*g**2 + 21*g + 26. Let b(d) = 6*k(d) - w(d). What is the remainder when b(-19) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(3)*1 - (-3 + sqrt(12))) + -1)**2.\nAnswer: -4*sqrt(3) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-7\/3)*a**(8\/3)\/a*a*a**(-1\/6)\/a*a*a*a*a*a**(-9\/7) assuming a is positive.\nAnswer: a**(79\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 46*f**2 + 49*f + 242. List the prime factors of q(-44).\nAnswer: 2, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 130, 0.34, 3, -2\/11, 5, -1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -14, 1, 2 in descending order.\nAnswer: 5, 2, 1, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -3*g - 3*q + 7, 5*g + 50 = 9*q for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.730429 + -2.73. What is z rounded to five decimal places?\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**2\/11 - 2598*l\/11 + 18284\/11 = 0. What is l?\nAnswer: -1306, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 less than -16603?\nAnswer: -16692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -4 - ((-18)\/(-3))\/(-1) - -2786?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/h**17))\/(h*h*h**(-2\/7))*(h**3*h*h)**(-3\/19) assuming h is positive.\nAnswer: h**(1928\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1071743509.\nAnswer: 71, 15094979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.8912068283394 + -1.\nAnswer: -2.8912068283394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20320754 + -161?\nAnswer: 20320573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 37496\/(-960) - (-1)\/8. Let o = -112\/3 - w. Factor 2\/5 - 6\/5*f**2 + 8\/5*f**3 + o*f**4 - 4\/5*f.\nAnswer: 2*(f + 1)**2*(2*f - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/1 + 7 + -21. Let s(m) = -m**3 - 18*m**2 - 45*m + 21. What is the remainder when (166\/(-3))\/(4\/(-6)) is divided by s(l)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -5\/2 (b) 7\/4 (c) 92\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38 - 26. What is the remainder when 43 is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 15 = -2*g. Let a(p) = -4 - 7 + g + p. Let s be a(4). Do -5 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of 31*s**5\/10 + s**3\/6 - 17*s**2\/2 - 72*s. What is the second derivative of t(w) wrt w?\nAnswer: 372*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 593942.\nAnswer: 2, 296971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -j - 9. Let h be (0 - 1) + j + 0. Let r = 1 + 2. Solve -d = -h + r for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 321 - 322. What is the closest to 1 in 3\/7, n, -2, -1\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -13*p**2 + 13*p + 32. Let s be b(-8). Let j = s - -2734. Let l = j - 371. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-261)\/1276)\/((-15)\/48)*(-5)\/2.\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 10*s**2 + 15*s + 5. List the prime factors of k(-5).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**7)**(1\/7))**(-15) assuming n is positive.\nAnswer: n**(90\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 17*o - 14. Let i be p(18). Suppose i*q + 12 = 3*y - 19, -3*y - 2*q + 43 = 0. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((60\/81)\/(-5))\/((-78)\/(-117))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*t - 56*t + 19 = 0. Suppose -5*j - d = -13, 5*d - t = -j - 26. Solve j*k - 5*p + 2 = -22, -4*k + p - 15 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 60.01 - 55.8. Let i = -1 + -3.5. Let h = i + l. What is h rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-41)\/((-4428)\/(-240)) - 80\/(-198)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 12*l**2 - 169*l - 39. What are the prime factors of x(24)?\nAnswer: 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -19. Suppose 7 = 5*f + 2*k - 3, 2*k = f + w. Let p(v) = -3*v - 10. Let b be p(-4). Solve -2*l - r = -7, b*l + 2*l - 2*r + 6 = f for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -78*i**3 + 389*i**2 + 668*i - 3310. Determine d(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2276347\/174 + 13083. What is the common denominator of s and 25\/372?\nAnswer: 10788","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 14495186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14*(-4)\/(-352) - 6\/24. What is the nearest to j in -5\/4, 0.07, 2\/7?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-5) - (616750\/(-9200) - -64 - 2\/23).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 y, and 1 t when three letters picked without replacement from vgvyvgtvgvvgvvgvvvvv?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 486 and 56889?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 5. Sort -4, v, -1, 4 in decreasing order.\nAnswer: 4, v, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*r**2 + 12762612481 - 12762612481.\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 55\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/40 of a microgram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -378*152635.\nAnswer: -57696030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*m + 6. Let t(y) = -3 - y + 6 + m - 2. What is the units digit of t(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/5 - 66*z**2\/5 - 138*z\/5 - 14.\nAnswer: 2*(z - 35)*(z + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 6*z**2 - 805*z + 33. What is m(-31)?\nAnswer: 963","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 10*q + 701. Is 14 a factor of j(31)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -200110112 (base 3) in base 15?\nAnswer: -3ec5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 100001011110011101101000 (base 2) in base 3?\nAnswer: 121111211202120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -40926321, -40926320, -40926319, -40926318?\n\"Answer: c - 40926322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-3)*(-1)\/(2\/6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-7))\/((-5)\/35). Suppose 4*j + 5*k - 24 = 3*k, -2*j - 2*k + 14 = 0. Put d, 2, j in descending order.\nAnswer: d, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.009 times -354\nAnswer: 3.186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -357 - 5?\nAnswer: -362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 556*b + 16263. Let i(j) = -j - 13. What is -2502*i(t) - 2*y(t)?\nAnswer: 1390*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 568.6158 to the nearest integer.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1 - 0) + -15)*(-18)\/18. Solve -41 = 5*j - v for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*h = -r + 21, h = 0. Suppose -5*f + 3 + r = 0. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 - 19*f + 46. Let p be (27 - 36)*(-21)\/(-9)*1. Give d(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/(-6))\/(14\/63). Solve 2*c + m = -0*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -42 != -42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**2 - 4*v + 560. What is the tens digit of a(54)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.346216 take away -0.0289?\nAnswer: 8.375116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 52 - -3655204?\nAnswer: 3655256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -365362, -365358, -365354, -365350?\nAnswer: -365346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 l when two letters picked without replacement from {q: 4, g: 1, l: 1, b: 1, j: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6059 - 54529\/9. What is the nearest to p in -0.4, -2\/33, -0.3?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 221 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1980) + sqrt(1980) + sqrt(1980))*6)\/((sqrt(99) + sqrt(11))*3*6).\nAnswer: 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 46*u - 572. What is k(15)?\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 194.\nAnswer: 3\/194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 divided by 11347?\nAnswer: 123\/11347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 times -1145?\nAnswer: 11.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -21*q - 5. Let k(i) = 3*i. Determine 6*k(o) - 2*n(o).\nAnswer: 60*o + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.84 in 2\/5, -1, -1\/4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -1. Suppose i - 3*b = 2*b + 3, d*i = -b + 6. Factor 6*f**3 + i*f**4 + 1 - 1 + 83*f**2 - 80*f**2.\nAnswer: 3*f**2*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11 and 22.2.\nAnswer: -244.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 - (12 + -147 - -209)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*n + 33*n = 0. Let x(c) = -5*c - 3. Let p(s) = 17*s + 8. Let g(j) = 2*p(j) + 7*x(j). Calculate g(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 9:10 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/13, -5, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 2*u - 5. Sort u, 3, 21 in increasing order.\nAnswer: u, 3, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 0 - ((-5)\/1 + (-13102)\/(-2620)) and -64\/9.\nAnswer: 11790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, v: 10}. What is prob of picking 2 v and 1 y?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 3*b = -35, -28 = 3*d + 3*b - 25 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 times 0.21?\nAnswer: -10.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8191486?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 6*j**2 + 7. Let y(q) = -3*q**3 + 8*q**2 + q - 9. Let d(s) = 6*t(s) + 4*y(s). Let a(n) = -n**3 - n**2 + n + 1. What is -4*a(g) + d(g)?\nAnswer: -2*g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -819 by -1.\nAnswer: 819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 0.5, 6\/7, -1\/5, 3 in descending order.\nAnswer: 9, 3, 6\/7, 0.5, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 636 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 803 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27819 is divided by 1851.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(6)\/sqrt(3) - (5 + sqrt(2) + 1).\nAnswer: -6 - 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52754420 by 97.\nAnswer: -543860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -14*r - 4. Let c be h(5). Suppose 18*k = 21*k + 486. Let u = c - k. Does 24 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h - 3. Let u(c) = -c + 3 + 0*c - 2. Let j(w) = w - 16. Let k(n) = -j(n) - 5*u(n). Let o(s) = 2*k(s) + 9*y(s). What is o(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -40705069*o**2 + 20165. Let h(i) = -12111*i**2 + 6. What is 20165*h(l) - 6*j(l)?\nAnswer: 12099*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/199998 and -83\/2168.\nAnswer: 799992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42803934 is divided by 501.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 + 43*t - 264. Let p be i(12). What is the greatest common divisor of 378 and p?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c - 2 + 2. Let w(n) be the third derivative of 2\/15*n**5 + 0*n**3 + 0*n**4 + 27*n + 2*n**2 + 0. Give w(k(t)).\nAnswer: 32*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = d + 11 - 3, 2*d = -4*f + 14 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -25231.73625 rounded to the nearest 1000?\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - r = 24. Let h = 2 - 0. Suppose -h*j = -5*j + 39. What is the remainder when r is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 4*h**2 - 4*h - 4. Let d be s(-4). Suppose 0 = 4*v - 38 - 46. Let k = v - d. What is the lowest common multiple of k and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, o: 17}. What is prob of picking 3 o?\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000377306 to 6 decimal places.\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 5*p - 35. Let s be r(-8). Let g be ((-10)\/s)\/((-28)\/(-10)). Do g and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 5*j**2 - 15*j - 62. Let p be n(-6). Suppose t = 28 - 2. Calculate the highest common factor of p and t.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 344*n**3 - 223*n**2.\nAnswer: 2064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 39090*k**4 - 416*k**3 - 113*k**2 - 39014*k**4 - 4*k**5 + 817*k**2 = 0.\nAnswer: 0, 4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + 2*l + 2. Let n(i) = 9 - 36*i - 5*i**2 - 40*i + 85*i. Calculate 9*d(p) - 2*n(p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 + 5*k - 4*k - 2*k**2)*(k**3 + 3*k**3 - 2*k**3).\nAnswer: -2*k**5 + 2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 240 + -534. Let u = s + 291. Which is the fourth smallest value? (a) 0.5 (b) -0.7 (c) u (d) 31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2014711331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21895362 and 1550?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.15 - -32.85. Let o = w + -26.7. Let k = 3 - 3. What is the nearest to k in 0.1, o, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 1764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 k when three letters picked without replacement from yyyykyyykyyy.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4244 + 0?\nAnswer: -4244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13861?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 271906368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 344235, 688456, 1032677, 1376898?\nAnswer: 1721119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 5:46 PM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/4)\/(7\/((-854)\/4) + 468180\/13140864).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -92\/705 and -38\/116795.\nAnswer: 350385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3976 + -2031. Let n = g + -1368. What is the hundreds digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -3, 7\/10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -136380.827 rounded to the nearest 10?\nAnswer: -136380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 142276 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -95 + 90. Let y(t) = -144*t - 1. Is y(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.8 + -0.2. Let z = 0.0688 - 0.055. Let u = z - 0.0138. What is the nearest to a in u, -0.5, 3\/8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by 63?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88933 is divided by 105.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000840413 rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 3373?\nAnswer: -3370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -170023, -170035, -170047, -170059?\nAnswer: -170071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c32b (base 15) in base 13?\nAnswer: -32a59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 x when four letters picked without replacement from xtoxvoonoonn.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 580506922?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(44) - (-4 + 1 + sqrt(44))**2)*6.\nAnswer: -321 + 84*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3*u**2 - 6*u. Let q(x) = 7*x**2 - 13*x. Let z be (0 + -1)\/(6\/(-36)). Calculate z*q(j) - 13*m(j).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j - 9. Let h(b) = -b + 9. Let x(n) = -5*a(n) - 4*h(n). Let g be x(6). Suppose -16 = -g*c + 11. Calculate the remainder when 33 is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219*q = -209*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 4*q**2 + 7*q - 7. Let k = -8 + 13. Let w be d(k). Let r = 0 - -4. Which is smaller: w or r?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111110100001101100110000 (base 2) in base 3?\nAnswer: 1010211202011121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 66 = 2*i. Solve -v = 3*v + 5*m - i, -3*m = -3*v - 9 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 235\/(-1880)*(-56)\/6.\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (540\/(-5130))\/((-8)\/4332)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.232169l in millilitres?\nAnswer: 7232.169","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8727 - -8934. What is the greatest common divisor of 713 and t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 2, 14, -61.\nAnswer: -61, -2, -1, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*g**2 + 0 - 6693*g**4 + 6693*g**4 + 50*g + 0 + 222*g**6 wrt g.\nAnswer: 26640*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118 + 190 + 42 = 50*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 53, -7 in ascending order.\nAnswer: -7, 1, 4, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 77 - 72. Suppose i*j + 2 = 3*a, -5*j = 3*a + 2 + 6. What is the hundreds digit of (-1 + j - -1)*(-118 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: cc5f (base 16) to base 12\nAnswer: 2633b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 16*k - 11*k = -27, 0 = -2*h + k + 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (245*b + 127*b - 128*b)*(-3*b**4 - 2 + 2 + (0*b**2 + 0*b**2 + 4*b**3)*(-b + 0 + 0) + 2*b**4 + 2 - 2).\nAnswer: -1220*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of l**6\/120 - l**5\/10 - l**3 - 5*l**2. Let a be w(6). Let y be 6*(2 - 148\/a). What is the highest common divisor of y and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 52562206 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*z**4 - 3*z**2 + 20481*z - 201606.\nAnswer: -16*z**3 - 6*z + 20481","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 169469 by 41.\nAnswer: 169469\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus 16.471?\nAnswer: 16.871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 8*q**3 - q**2 - 3*q - 4. Let v be k(-2). Let u be -2 + 5 - (-2)\/(v\/93). Let s = -2 - -1. Is u < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 174 = 4*p, -5*a + 215 + 40 = 5*p. What is the greatest common divisor of 153 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30816 is divided by 3848.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 55*b. Suppose 4*a - 2*n = 140, 0 = -4*a - 4*n + 62 + 90. Let m(y) = 11*y + 17*y + 13*y - a*y. Calculate 6*l(k) - 65*m(k).\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 162.20698 rounded to 1 dp?\nAnswer: 162.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 6) + 16 + -23 - (31 + -6)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1561707 and 133876619?\nAnswer: 135438326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1124434 (base 7) to base 8.\nAnswer: 423063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 5*u - 26419*f + 26420*f, 7*u = -9*f + 4*f - 54 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -1 (b) -0.229 (c) 1 (d) 80 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10000\/(11\/10032*9\/6). What is y rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -468, -470, -462, -438, -392?\nAnswer: -318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 124434 (base 5) to base 9.\nAnswer: 6758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-660)*-33*-50 + 108?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -297, -1185, -2665, -4725, -7353, -10537?\nAnswer: -14265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214389923?\nAnswer: 11, 23, 227, 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) + sqrt(363) + 0 + sqrt(363) + (sqrt(90)\/sqrt(3))\/sqrt(10) + -5 + 4)**2 + 3*sqrt(48) + 2 + sqrt(48) + sqrt(48) + -2 + -1 + sqrt(48).\nAnswer: -44*sqrt(3) + 3468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 136a2 (base 11) in base 8?\nAnswer: 46020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3361*q**2 + 8*q**3 - 6*q**3 + 3147*q**2)*(4*q - 2*q + 0*q) to r*q**4 + a*q**3 + j*q**2 + z + o*q and give a.\nAnswer: -428","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 2*p**2 + 1. Let l(t) = 7*t**3 + 10*t**2 + 2*t - 6. Let n(u) = -5*c(u) - l(u). Calculate n(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004748 to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/9 or 278840?\nAnswer: 278840","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 8*o + 1. Let a(z) = z**2. Calculate -2*a(t) - j(t).\nAnswer: -t**2 - 8*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 9*q - 110 = 9*y - 2*y, 0 = -3*y - 54 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/22450019 and 41\/1134658.\nAnswer: 314300266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sbbssslssbsqb. What is prob of picking 1 q and 1 b?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = w - 5. Let n = w - -17. Calculate the highest common factor of 72 and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*o**2 + 13*o**2 - 5*o**4)*(-1 + 3 - 1 + 2 - 5 + 2 + (-4 + 4 - 1)*(3 + 2 - 4) - 2 + 1 + 0) - 15*o**4 + 182*o**3 - 182*o**3 + 0*o**4 - o**4 + 3*o**4.\nAnswer: -3*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.19 in -3\/2, 2, 31, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 12:47 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -113*o + 123. Let g(c) = -4515*c + 4921. Suppose q = -4*v + 24, -8*q + 4*q = 0. Let y(u) = v*g(u) - 238*m(u). Differentiate y(h) with respect to h.\nAnswer: -196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-705)\/(-3290)*44\/165\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g**2 - g + 1. Let o(v) = 2*v**2 + 1. Let i(j) = -2*o(j) + 3*u(j). Suppose -101*p = -105*p - 12. Is 20 a factor of i(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -63024643*c**4 + 3*c**3 - 374*c - 805621.\nAnswer: -756295716*c**2 + 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 12:22 PM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.0455 (b) -5 (c) -58\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 1:01 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 358931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -78 + 78. Suppose -s = 2*f + 9, f + 8 = -o*f + 3*s. Is 43 a factor of (840 - (f + 10))*(-4)\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40*x**4 - 203456*x**3 - 89*x + 201852.\nAnswer: 480*x**2 - 1220736*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5079, -5086, -5093, -5100, -5107?\n\"Answer: -7*a - 5072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011 + -100101100101110110101?\nAnswer: -100101100101111010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2107 - 2092. Which is the nearest to u? (a) 5 (b) 14 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/143 + -135\/572. Let s = 15.1 - 6.8. Let m = -7.3 + s. What is the nearest to m in y, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-16)*(-1 - -3). Let h = 4 + -7. What is the smallest value in -1, x, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of -4*m**5\/5 + 3*m**4 - 4*m**3 + 2*m**2 - 2*m - 6. Factor x(n).\nAnswer: -4*(n - 1)**2*(4*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000721351 to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 218145.\nAnswer: 3, 5, 14543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 815 (b) 5\/4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70)*-2*1*3)\/(sqrt(50)\/((2*sqrt(25) - sqrt(25))\/sqrt(5))))**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 4*p - 205, -3*d + 0*d + 3*p + 150 = 0. What is the greatest common divisor of d and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3295734397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 4*p + 60, -4*m - m + 3*p + 122 = 0. Suppose -c = c + m. Let a(y) = -5*y - 7. What is the units digit of a(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(-9)*(-90)\/(-20). Let x be (16\/12)\/(5*(-3)\/(-90)). Solve -i = x - g for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 6*w - 6 = -3*w, 3*s - 4*w - 18 = 0. Suppose -c - 1908 = -2*r, 0 = -r + 5*c - s*c + 951. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (64\/10)\/(30\/(4950\/(-33)))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2349 (base 13) to base 15.\nAnswer: -170c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13041071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31632 + 31635. Solve 2*a - m*a - 15 = 5*d, 13*d + 47 = -a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25137 by -49.\nAnswer: -513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4483*i**2 + 2*i + 9042 wrt i?\nAnswer: 8966*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14139*s**3 + 2*s + 43633?\nAnswer: 42417*s**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 14*r + 16. Let o(k) = -13*k - 19. Let u(z) = 3*o(z) + 4*p(z). Let a(l) = 2*l**2. Calculate u(a(s)).\nAnswer: 34*s**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (4 - 6) - -2 - -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -4264.\nAnswer: -8528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12 + 2011?\nAnswer: 2023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 361 is divided by 49?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 11*c**2 + 13*c - 14. Let f be a(12). Let y be 0\/((-2)\/f) + 0. Let v = y - -4. Solve 0 = -2*u + v*r + 20, -15 = -3*u - 0*r + 3*r for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.7909 - -34.2091. Which is the second smallest value? (a) -0.2 (b) -0.3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1973281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -12*b - 10. List the prime factors of o(-3).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 12:32 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -818 = -139*g + 285 + 426 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jxnewexjxwwwxrnxnxjj. Give prob of sequence eww.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u - 4*u + 2*u)*(-3*u + u + 3*u) - 3*u**2 + 50*u**2 - 11*u**2.\nAnswer: 31*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**2 + 18*h + 3. Let q be d(-14). Let j = -83 + q. Suppose 0 = -2*w - j + 204. Calculate the lowest common multiple of 4 and w.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -10*n**2 - 28912084*n + 17347254 = 0.\nAnswer: -2891209, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185643910?\nAnswer: 2, 5, 17, 1092023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 245.\nAnswer: -1\/245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h - h - 3*h)*((9*h - 4*h - h)*(3 + 1 - 2) + 2*h + 2 - 2).\nAnswer: 20*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108 and 1332.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 702 and 3744?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -275641 at most -275880?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fmn when three letters picked without replacement from rmhfnnmf?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 + n**3 - n**2)*(3*n**2 + n**2 - 3*n**2 + (-4 - 8 + 26)*(22 - 50*n**2 - 22) + (1 - 3 + 3)*(3*n**2 + 0*n**2 - n**2)).\nAnswer: -697*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -33316311 and -25 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 19 (base 10) to base 11\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*o + 16*o**3 + 88*o**3 - 94*o.\nAnswer: 104*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -197*t - 194*t + 390*t. Let r(o) = -11*o**2. Determine r(b(m)).\nAnswer: -11*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6316171 is divided by 98690.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/10575 and -7\/5875.\nAnswer: 52875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) - sqrt(152)*-2*-3)\/sqrt(8).\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1766641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(2\/15)*b*b*b*b\/(b*b*b\/(b*b**(-2\/5)\/b*b)*b*b)*((b\/(b*(b\/((b**0\/b*b)\/b))\/b*b))\/b)**(-13\/3) assuming b is positive.\nAnswer: b**(206\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 4*y**2 - 3*y + 3. Let w(h) be the third derivative of -1\/3*h**3 - 1\/20*h**5 + 0 + 0*h + 19*h**2 + 1\/12*h**4. What is 2*s(t) + 3*w(t)?\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2716336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*g**2*n**2*y**3 + 1228*g**2*n**2 + 24*g**2*n*y - 5307*g*n**3*y**3 + 3*n**3*y**2 wrt y?\nAnswer: -78*g**2*n**2 - 31842*g*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -5*c + 25. Let k be (-4)\/(-10) + 198\/c. What is the highest common factor of k and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (15\/4)\/((-7)\/16 - -1). Which is bigger: m or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 4*o**2 + o + 213. Let i be b(7). Calculate the highest common factor of 13 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 102 + -89. Let h(t) = 8*t**2 - 14*t - 5. Is h(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l. Let b(h) = -2*h - 1. Let u be b(-2). Let y(r) = -1 + u - 3*r - 2. Determine s(y(g)).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vqvqhuvsszhvzqqsz. Give prob of sequence vus.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -10.69 and -21.\nAnswer: -31.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -110.231 less than 3.9?\nAnswer: 114.131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/1541 or 0?\nAnswer: 1\/1541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -7 + 1 + 2 + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222100211 + -11201?\nAnswer: -222112112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 - 14. What is the smallest common multiple of 3 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -134204246 (base 7) in base 3?\nAnswer: -121110002121002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 i when four letters picked without replacement from hmmhhhhhahhdhhihhmhh.\nAnswer: 364\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in eleven eighths of a micrometer?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -86 - -86.02. Let i = g + -0.22. Let m = 0.25 + -0.05. What is the smallest value in 2, i, -0.6, m?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1287249 to the power of 1\/2, to the nearest integer?\nAnswer: 1135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -10. Let x = f + 13. Suppose -x*t + 10*t - 597 = 0. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -193*l**4 + 81*l**3 + 77*l**2 - 81*l - 89. Let y(j) = 116*j**4 - 40*j**3 - 38*j**2 + 40*j + 45. Let b(q) = 3*c(q) + 5*y(q). Factor b(f).\nAnswer: (f - 1)*(f + 1)**2*(f + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001230130 (base 5) to base 8.\nAnswer: 7425123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -5. What is the common denominator of -1\/12 and -1 + n - (-340)\/(-72)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - -16. Let y be (-3)\/(-4) - 75\/(-12). What is the highest common factor of h and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {i: 9, a: 4, z: 6}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {b: 4, i: 2, o: 11, g: 2}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 5532?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 87337 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -260997, -521959, -782921, -1043883?\n\"Answer: -260962*i - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**3 - u**3 + 4*u**3)*(-375*u + 311*u - 503*u - 117*u).\nAnswer: -1368*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 2704.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 816*c**2 - 128. Let y(s) = -19*s**2 + 3. Let a(p) = 65*p + 327. Let r be a(-7). Calculate r*y(u) - 3*x(u).\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 356 (base 9) to base 3.\nAnswer: 101220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 3*j - 102 = 0. Let v be 3\/(-2 + 140\/68). Let o = v + j. List the prime factors of o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/339952 and -22\/63741?\nAnswer: 1019856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 144413 by 4.\nAnswer: 144413\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 170, -0.19, -1.\nAnswer: -1, -0.19, 170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -304*f - 4071 = -12887 for f.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (10 + -4 + (-1 - 2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3416*z - 3246*z + 2911*z)*(-1 + 5 - 2)*(-2 + 7 - 1) to d*z + n and give d.\nAnswer: 24648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-5\/4)*i**4)\/((i\/(i*i*i*i**(-1\/3)))\/(i*i\/(i\/(i\/i**0))*i))*(i\/i**1)**(-1\/27)*(i*i**5*i)\/i*i*i**0 assuming i is positive.\nAnswer: i**(215\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 18*w. Let z(v) = -8*v**2 + 6. Suppose 2*n - 118 + 130 = 0. Let o(p) = -7*p**2 + 5. Let q(h) = n*o(h) + 5*z(h). What is k(q(x))?\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 398 a factor of 2388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = 3*m - 53 + 74, -3*m = t + 17 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10899.644 take away -4925370?\nAnswer: 4914470.356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 3*g + 2*g**3)*(-56*g + 343 - 343)*(-2 + 2*g - 4*g + 3*g) + g**5 + g**5 + 0*g**5.\nAnswer: -110*g**5 + 224*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2.1 * -26.5735\nAnswer: -55.80435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -3*d**3\/2 - 196*d. Let u(c) = 10*c. Suppose -3*i + 2*i + 3*m + 17 = 0, 5*i - 37 = 3*m. Give i*u(w) + 6*t(w).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (238\/(-714))\/(11\/3)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -4\/3, 3, 3.3, -0.08, -0.01, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 18611239?\nAnswer: -2\/18611239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4520*j = 3*i - 4522*j + 31, 3*i + 2*j - 25 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.48 at most -24360?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 852b (base 12) to base 7.\nAnswer: 60335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -k**7\/3 - k**4\/3 + 26*k. Find the third derivative of d(b) wrt b.\nAnswer: -840*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - 53*x**2 - 110*x + 65. Let f be d(55). What is the highest common divisor of f and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(3\/8)*y)\/y)\/y)\/(y**(-4)\/y) assuming y is positive.\nAnswer: y**(35\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of i**9\/60480 - i**8\/3360 + i**7\/720 - i**6\/120 - i**5\/15 + i**2. Let w(b) be the third derivative of a(b). Give w(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 127*a**2*v - 80537880*a**2 + 1009058*v wrt v.\nAnswer: 127*a**2 + 1009058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*((h\/(((h*h**(-31)*h)\/h)\/h*h))\/h)\/h)\/h)\/(h*(h\/h**(2\/37))\/h))\/((h\/(h\/(h*(h*h**35*h)\/h)))\/h)**0 assuming h is positive.\nAnswer: h**(1038\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -3 + (-3 - -4) - 1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -76.22370549 and -8.\nAnswer: -84.22370549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 - -0.1. Let j be -2 + (-1*6)\/(-1). Suppose 1190*n = 1191*n - 5. Which is the third biggest value? (a) n (b) j (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55)\/(sqrt(11) - -1*sqrt(396) - sqrt(11)) + -1)*-5)**2.\nAnswer: -25*sqrt(5)\/3 + 1025\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 39286.\nAnswer: -3\/39286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {t: 4, l: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6053903?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39548840 and 3880?\nAnswer: 3880","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, q: 4, y: 4, b: 2}. Give prob of sequence qbj.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, o: 15}. Give prob of sequence no.\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t**3 + 37 + 6*t**3 - 15*t**3.\nAnswer: -15*t**3 + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z + 25 - 13 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 522.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -330 (base 4) to base 5.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*s - d, -2*s - 17 + 15 = 2*d. Determine i, given that -18\/5*i + 5*i**4 - 16*i**s + 69\/5*i**2 + 0 = 0.\nAnswer: 0, 3\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4124\/10310*(1 - 73\/68).\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13.58 + -8.58. Is -27\/5 less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30893?\nAnswer: 30893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of -z**5\/360 - z**4\/72 - z**3\/36 - z**2. Factor s(w).\nAnswer: -(w + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(-2 - -4) + 108. Let g = 147 - u. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*k + 1068 = -1043 - 1510 for k.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in 12\/7, -7, -79\/4?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -10, -14, 8\/3 in ascending order.\nAnswer: -14, -10, -5, 1, 8\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7643565 and 57.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.4, 121, 40, 3, 0.2, 0.1?\nAnswer: 121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -152238 (base 11) to base 10\nAnswer: -237201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15\/673 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 71023621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -10518299*h**2 + 29020*h. Let r(u) = 4350*u**2 - 12*u. Determine -7255*r(f) - 3*t(f).\nAnswer: -4353*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -53, -76?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1848)\/176)\/(21\/(-9))?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 443 a factor of 81236011?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - y**2 - 5*y + 3. Let h be j(5). Suppose -o - h = -3*k, 0*o + 286 = -4*o - k. What is the common denominator of -127\/6 and -82*1*(-6)\/o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwwd when four letters picked without replacement from {w: 9, d: 3}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/8 (b) -2 (c) 1 (d) 0.3 (e) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 335.483 + -2.083. Let c = k - 324. Round c to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6)*k*k\/(k**(-2)\/k)*k)\/((k\/((k*k\/k**(-1\/2))\/k))\/k**4)*k**(2\/3)\/(k*k\/k**2*k*k)*(k**(-1))**(22\/9) assuming k is positive.\nAnswer: k**(13\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10\/401? (a) -0.12 (b) -2\/3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) -2 (b) 2\/11 (c) -0.4 (d) 0.9 (e) 0 (f) -4543.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4.2 (b) 2 (c) 0.2 (d) 1.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**3\/9 + 2000*x**2\/9 + 886*x + 664 = 0 for x.\nAnswer: -996, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 4*u**2 - 8*u - 7. Let p be s(-5). Let w = p + -11. Let q(b) = -b**2 - b + 2. Calculate q(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 4:16 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 21*g + 64. Determine i(5).\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8181 is divided by 2474.\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.097 minus 23?\nAnswer: -23.097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 31991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 2*d - 8, -12*d - 16 + 67 + 24 = -2*g + 5 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**3 - 642 - 435 - 39 - 67 - 307.\nAnswer: 3*a**3 - 1490","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 143045 and 63?\nAnswer: 1287405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -841775657.04 minus -1?\nAnswer: -841775656.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 12. Let t(c) = -c**2 - 5*c + 3. Calculate the remainder when t(-4) is divided by 0 + 4 - 0\/x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-486)\/3240 + 1\/(10\/4). Determine r, given that 0 - 1\/4*r - t*r**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 734, 1540, 2428, 3440, 4618, 6004?\n\"Answer: 7*y**3 - y**2 + 760*y - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.19, 3\/8, 15\/7?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*r - 378 = 80*r for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 11:49 AM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -88153, -87439, -85495, -81703, -75445, -66103?\nAnswer: -53059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of 2139*n**4\/4 - n**2 - 865*n - 3262. Find the second derivative of d(l) wrt l.\nAnswer: 12834*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 903493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ych when three letters picked without replacement from ghuyccucuuuguggu?\nAnswer: 1\/1120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 6:19 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-492\nAnswer: -147.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -16 + (0 - 1) - (-1332 + 1338).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 0.08, -6.294 in ascending order.\nAnswer: -6.294, -3, -1, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five eighths of a millimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4046, 4042, 4036, 4028, 4018, 4006, 3992?\nAnswer: 3976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5521*l - 8807 wrt l.\nAnswer: 5521","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 28?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1037 + 1212. Calculate the remainder when s is divided by 88.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/4 - -3. Let i(t) = t - 5. Let l be i(4). Which is smaller: l or y?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/9, -2\/23, -145?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*z + 24 = -3*s + 9*z, 4*z + 12 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 4*c**3 - 189*c**2 - 132*c - 545. What is g(48)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4019221526 to the nearest integer?\nAnswer: 63397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + i + 1. Let q(z) = -6*z + 18 - 6 + 18*z - 14*z**2. Let f(p) = -q(p) + 12*x(p). Let v(s) = 8*s**2. What is f(v(r))?\nAnswer: 128*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - o = -236, 0*l + l = 5*o + 248. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3912367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -221597210 + 120497210. Round f to the nearest one million.\nAnswer: -101000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 318398 by -159199.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 23, 56, 95, 140?\n\"Answer: 3*f**2 + 24*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 3)*12\/9. Let h be (2\/g)\/(11\/(-264)). Calculate the greatest common divisor of h and 516.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*l - 2*l + 2*l + (9 - 9 + 5*l)*(-1 - 3 + 5))*(-2*l**2 + l**2 + 0*l**2).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 162239387?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1568348.3 rounded to the nearest ten thousand?\nAnswer: -1570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 357*j**5*s + j**4*s + 10*j**2 - 3*j*s + s wrt j.\nAnswer: 21420*j**2*s + 24*j*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 2*m = 0. Let s(j) be the third derivative of -j**5\/60 - 5*j**4\/8 + 64*j**3\/3 - 46*j**2. Let l be s(-21). Solve m*r - r - l = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16416 + 16421. Let d(x) be the second derivative of 0 + 0*x**4 + 2\/5*x**6 - 2*x - 33\/2*x**2 + 0*x**3 + 0*x**c. Differentiate d(u) with respect to u.\nAnswer: 48*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 7*w**2 - 2*w - 2. Let z be x(2). Let t = z - 22. Let v = 5 - 4. Are v and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -435568 divided by 15556\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 3) to base 10\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6765.617 - 6762. Let v = 3.41 - g. What is v rounded to 2 decimal places?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44818?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - -19. Suppose u = 5*a + 21, a - t = -5*u + 55. Suppose -3*w = -o + u, w - 7 = 2*o - 19. Solve -3*d = 3*i + 2*i - 25, -20 = o*d - 4*i for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b + 42 = 25*b. Solve -4*h + 4 = 4*g, -5*h + 4*g - b*g = -5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, y: 4}. Give prob of picking 3 s.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000801713 rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 12:55 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-2\/25)\/(a\/(a*a**(-2\/17))))\/(a*a**1*a)**(-50))**26)**(4\/7) assuming a is positive.\nAnswer: a**(6621264\/2975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 9. Let s(l) = l. Let q(m) = -m**2 - 6*m + 6. Let h(j) = q(j) - s(j). Let k(c) = c**2 + 2*c - 1. Let b(v) = h(v) + 2*k(v). What is b(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from ogogg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = u - 21. Suppose -10*q + 9*q = -u. What are the prime factors of q?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**2 + 2. Let i(x) = -3*x + 18. Let p be i(7). Let o(c) = c**3 + 3*c**2 + 3. Determine p*z(y) + 2*o(y).\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 173 divide 187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (54\/(-4))\/(24\/(-224)). Suppose p = -p + m. Is p a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwikkwkwnniinwjew. What is prob of picking 1 w and 1 i?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -107549354 divided by -4?\nAnswer: 53774677\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x + 7. Let v be w(0). Let j be (-4)\/14 - (-37)\/v. Suppose 2*f - 34 = -4*q, -49 = -3*f - j*q - 1. Is f a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m**5 - 20*m**4 - 20*m**3 = 0 for m.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2632811 is divided by 21232?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 146 (base 8) in base 13?\nAnswer: 7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7694*a**2*s**3 + 5215*a**2*s**2 + 242*a**2 + 3*a*s**3 - 7*s**3 - s**2 wrt s?\nAnswer: 46164*a**2 + 18*a - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u - 4. Let z be x(-6). Suppose -g + z = -3*g. Let v = 4.93 - 1.93. Sort g, 0, v in decreasing order.\nAnswer: v, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -5 + 1 + 8 + -7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41 + -2. Suppose 5*m - 4*q = 65, 3*m = -q - 4*q + u. What are the prime factors of m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -31, -49, -67, -85?\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 14448 divide 5717468063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b + 3567. Let s(o) = -o**2. What is x(s(y))?\nAnswer: -3*y**2 + 3567","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 741 + 163 = h, 0 = 3*h - 5*x - 2704. Let z be -186*((-291)\/60 + 0). Let w = h - z. Calculate the common denominator of w and -9\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90 + (-19 - (118 + -61)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + 4*p + 3. Let r be s(5). Suppose -6*a = 2*i - 3*a - 16, 24 = 3*i + 4*a. Let f be 15\/(-45) + i\/6. Put f, 5, r in decreasing order.\nAnswer: 5, f, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -8*p**2 + 5*p - 4. Let f be (18\/(-3))\/(2\/1) - -9. Let u(r) = -r**2 + r - 1. Calculate f*u(b) - v(b).\nAnswer: 2*b**2 + b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 4:17 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-5\/8)\/z)**16\/(((z\/z**(-4\/27))\/z*z)\/(z*z**(-1\/48))) assuming z is positive.\nAnswer: z**(-11305\/432)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/6*3\/(-2). Suppose -3*d = 2*d - 3*j - 34, 4*j = y*d - 22. Suppose -33 = -d*u - s, -18 = 3*u - 4*u - 4*s. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173699 is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.313 + -0.3. Let n = 0.0609 + -0.4779. Let b = n - i. Round b to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - 2*o + 1. Let h be a(1). Suppose -4 = 2*y - h. Which is smaller: y or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + 13. Let g = 114421 - 114418. Solve 5*k = x + g + 4, -3*k - 5*x = -v for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -5*s + 154. Let p be f(27). Suppose 0 = 3*y - 5*d - 80, -20 = -3*d - d. Let o = 130 - y. What is the highest common divisor of p and o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 285 - -1765. Suppose -3*m + q + 0*q = -1230, -5*q - u = -5*m. Suppose -p - m = -6*p. Does 23 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33220 - -10?\nAnswer: 33230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6, s: 4}. What is prob of picking 2 s and 1 n?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-101)\/(-9) + (19 - (18 - -12)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.17 and 9289499.\nAnswer: 9289497.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**5\/5 + 112*o**4\/5 - 1524*o**3\/5 + 7128*o**2\/5 - 14526*o\/5 + 11016\/5 = 0 for o.\nAnswer: -68, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 20 = 3*s, 0 = -3988*d + 3986*d - 3*s - 23 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-8\/9)*(j\/(j\/j**(-6))*j)\/j*j**(12\/13)*j**(-11\/3)*j assuming j is positive.\nAnswer: j**(-1010\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 139, 166, 193, 214, 223, 214, 181, 118?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -560*k**2 - 238*k**2 + 253*k**2 as s*k**2 + q*k + l and give s.\nAnswer: -545","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1 - 1 - 1 - 28083\/(-8584) and -16\/29.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 603*p + 2747. List the prime factors of r(21).\nAnswer: 2, 5, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) - sqrt(300)*1)\/sqrt(6))\/((sqrt(70)*-1)\/sqrt(7))*1*-6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11930 + -11931. Which is the second biggest value? (a) 0.04 (b) 1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -235 (b) 4 (c) 0.3 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 75 + -55. Calculate the remainder when 59 is divided by h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1565 - 1548. Solve j*r - 27*r = -30 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3\/5, 0, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-4\/17)*(h\/(h**(1\/8)\/h*h))\/h*((h\/(h*h**0)*h)\/h)**(-3\/14) assuming h is positive.\nAnswer: h**(-49\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v - 17*v + 20 = -5*u - 3*v, -3 = 4*u - 3*v for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 - (-107 - -102).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 times 140?\nAnswer: -1260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qepqaeepvqpape. Give prob of sequence aveq.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.38 - 0.28. Let x = -166 - -1824\/11. Which is the nearest to 2\/5? (a) -0.3 (b) g (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 39 = 5*t, -j - 4*t = 10*t - 102 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 23. Is (-1)\/(-4) - p\/((-308)\/(-5817)) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - 6*x + 1. Suppose 4*y = y + 75. Suppose -36 = -19*p + y*p. Determine o(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -20*r - 16. Let v(t) = t - 9. Let h(s) = -s + 11. Suppose 0 = 27*q - 127 - 8. Let g(w) = q*h(w) + 6*v(w). Determine 48*g(x) + 3*k(x).\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*l**2 - 39*l**2 + 14*l**2 to p + o*l + t*l**2 and give t.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 105 = -6*c. Does 9 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c + 6150 + 3066 = -1526*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1861 is divided by 170?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -119 - 34. Let g = -108 - n. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 112*v**2. Let u(n) = -27*n**2 - 2*n + 2. Let g(i) = 684*i**2 + 51*i - 51. Let s(b) = -2*g(b) - 51*u(b). What is s(c(f))?\nAnswer: 112896*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c**2. Let r(v) = 1419*v + 1. Determine r(m(l)).\nAnswer: -2838*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -3*v**3 - 9879*v**2 - 9876*v = 0.\nAnswer: -3292, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -343 = -13*v - 1526. Let m = v - -61. Let l be 8 + (-936)\/m + (-2)\/10. What is the highest common factor of 26 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -8*s + 730. Let p = -267003\/7 + 38289. Let r = p - s. Which is the closest to 1\/4? (a) r (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/4660 and 23\/1398?\nAnswer: 13980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 780336208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 6*u - 12. Suppose u*t = -t - 4. Let r = 1209\/7 + -173. Do t and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 22 (c) 2 (d) -4 (e) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 164828207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4. Let s(n) = 41*n - 492. Calculate 492*d(w) + 4*s(w).\nAnswer: 164*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -67*d*y**4 - 5*d*y**2 - 199*d - 1 wrt y.\nAnswer: -268*d*y**3 - 10*d*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11148*i**2 - 20*i*w - 87*i - 237009239*w with respect to i.\nAnswer: 22296*i - 20*w - 87","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 557954*f**3 - 9203110*f wrt f?\nAnswer: 3347724*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3826 - g**2 + 11062 - 3915 - 3638 as q*g + c + m*g**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -42, 8, 4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-24)\/16)\/(726\/44)) + (-2 - 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-30)\/225)\/((-4)\/(-3)))\/(1860\/(-2325)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + 2*h + h)*(1 + 0 - 3)*(-104*h**3 + 122*h - 122*h).\nAnswer: -208*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 8*a - 2*u = 4, 4*u - 16 = -2*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -32830 (b) -3 (c) 8 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-3) - (-22)\/6) + 17. Suppose 0*r - w = -5*r. Suppose -104 = -2*s + 4*n, 3*s - 4*s = -r*n - 58. What are the prime factors of s?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.66 - 0.6. Let a = t + 0. Round a to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(4 - 1) + 5. Suppose 0 = p*g - 2*g - 6. Find the second derivative of 9*f - 8*f - f**2 + g*f**2 wrt f.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p - 13*p - 24 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*o + 2*o - 68494517*o**2 + 68495351*o**2 in the form c*o**2 + a + f*o and give c.\nAnswer: 834","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**2 - 198\/5*d**3 + 91\/5*d**5 + 8\/5*d + 79\/5*d**4 + 0 = 0. What is d?\nAnswer: -2, -2\/13, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2 - 9515*h + 206910.\nAnswer: 5*(h - 1881)*(h - 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48611.\nAnswer: 48611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -1\/3, -5, -2\/23, -0.258?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-2))\/1*(-84)\/196?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 100 + -91.8. Let m = z - 9.2. Let t be (9\/6 + -1)\/(-18). Which is smaller: t or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 6*w - 38 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4 + (sqrt(108) + 2*sqrt(108) + sqrt(108))**2 + sqrt(21)\/sqrt(448) + -3.\nAnswer: sqrt(3)\/8 + 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c - 188398 + 2*c**2 - c**4 - 26*c + 188398 to i*c**4 + y*c**3 + n*c**2 + h + u*c and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 522 - 522 + 391*w. Let n(g) = -29*g. What is 5*c(l) + 68*n(l)?\nAnswer: -17*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 9 - 16 = 0. Let u(l) be the second derivative of l**5\/20 + l**4\/2 + l**3 - l**2 + 4*l. Calculate u(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -457759, -457764, -457781, -457816, -457875, -457964?\nAnswer: -458089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 160013 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -921.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/(-150) + (-8)\/(-60). What is the closest to -0.2 in 1, -4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2106 - 235689.84.\nAnswer: -235690.0506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w + 9. Let p(a) = a + 3. Let g(h) = -6*j(h) + 17*p(h). Calculate the smallest common multiple of g(-7) and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5103\/(-2352)*8\/66 and 101\/374.\nAnswer: 5236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i**2 + 26*i + 181. Give x(-12).\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 43352262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 2*v**2 - 4*v - 4. Suppose -3*z - 3*z = 12. Let x be w(z). Calculate the greatest common divisor of 2 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.53 - -0.03. Let q = -6.95 + 11.95. What is the second biggest value in 2, r, q, 0.03?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.254794 to 3 decimal places.\nAnswer: 0.255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22.4 + -11. Let j = m + -11.4. Which is the biggest value? (a) 0.1 (b) 16 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*h + 190*h + 4626 = -127*h for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -24*i + 164. Let g be s(7). Let m(c) = -7 - c - 6*c + 3. Calculate m(g).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 143.56 + -52.59. Let n = 1.03 + k. Let h = n - 90.62. What is h rounded to one decimal place?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.11 - 11.11. Let b be (1 - -4)\/(25\/25). Sort b, 3\/5, r in increasing order.\nAnswer: r, 3\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 25*d - 36 = 0, -3*d + 20 = -822*w + 821*w for w.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(13) - (-4 + sqrt(13)*2)) + -1)**2.\nAnswer: -4*sqrt(13) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 181911232?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 8. Let r be 1*(7 - (1 - s)). Suppose -3*c + 4 + r = 0. Solve -c = -3*p - 0*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.148*-26723\nAnswer: -3955.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -12. Let z = 9 + o. Let j = -19 + z. What is the nearest to j in 3, -1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - ((-57 - -60) + 5 + (54 - (-10 - -6)))\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -647 + 13466389\nAnswer: 13465742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 114 (b) -0.1 (c) -15 (d) -3 (e) -5 (f) -1\/2 (g) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 times -0.1?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 4 = -2*c. Let s be (c - 9\/(-2))*26. What is the units digit of (-4)\/14 + s\/7?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1241196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 10*r - 235. Let o(u) = -u + 26. Let j(b) = -6*k(b) - 55*o(b). Let v be j(-14). Calculate the greatest common divisor of 10 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -34.1, 2\/9, -0.2, 0 in decreasing order.\nAnswer: 2\/9, 0, -0.2, -34.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lzdzydndfnnn. What is prob of picking 2 d, 1 z, and 1 n?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 1 = -4*t - 5, -2*t - 6*p = 20 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 3*h = -21574, 0*h = n + 3*h - 10793. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 257001062 + -257003902.002051. Let x = s + 2840. Round x to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 69*q + 21. Let p(l) = -l**2 - 5*l + 10. Let a be p(-6). What is the units digit of i(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -5 (b) -3 (c) -138626\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1458 is divided by 43.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -7 - ((0 - -4) + 0). Let l be (33\/6)\/(3\/(-6)). Is l less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/142 - ((-2596)\/(-44) + (-33920)\/5680)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/2431 and 65\/459?\nAnswer: 65637","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -510*r + 63 = -517*r. What is the hundreds digit of 1\/(-7) + (r - 75294\/(-63))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -3 + 5. Let z = 26 - a. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-4)*-2 + (-22)\/(-1). Let w = 26 - i. Suppose w*d = 3*d + 348. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 t when four letters picked without replacement from tyylpptttttttptpttt?\nAnswer: 11\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p - 4*p**3 + 2*p + (49 - 49 + 6*p)*(2*p**2 + 5*p**2 + 3*p**2) + 3*p**3 - 2*p**3 + p**3 + (p**2 - p**3 - p**2)*(2 - 3 + 2).\nAnswer: 57*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10b4 (base 12) to base 9.\nAnswer: 2501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -13, -14, -25, -52, -101, -178?\n\"Answer: -t**3 + t**2 + 3*t - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -2*c + 2*v, 3*c - 23 = -v + 2*v. Suppose i = 2*r - c, -r + i + i + 9 = 0. Which is smaller: r or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 2*f = 0. Let r(q) = -q**3 + q**2. Let z be r(f). Suppose -4*n - 5*m = -9 - 1, 2*n + 2*m = 6. Solve n*g - 5*k + 5 = z, 2*g - 4*k = k - 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, r: 3, e: 13}. What is prob of sequence err?\nAnswer: 13\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 2*q + 18, -32*t + 35*t + 47 = q. Which is the closest to 0? (a) t (b) -7 (c) 0 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (44\/(-77))\/(6\/(-21)). Find the common denominator of -149\/72 and (-14)\/f + 583\/220.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, 1.26, 5\/21, -3 in decreasing order.\nAnswer: 1.26, 5\/21, -2\/13, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -130?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -960 times 33\nAnswer: -31680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 794 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (4884\/(-4070))\/(2 + 154\/(-80))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5961 - 5834. Solve -113*y = -h*y - 42 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 e when two letters picked without replacement from {g: 1, e: 1, o: 1, x: 1, f: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/6 (b) 68088 (c) 0.4 (d) -3.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/6292 and -61\/1694.\nAnswer: 44044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 4*u**2 - 248*u + 2828. Give t(15).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**2\/4 - 23*r\/2 + 147\/4 = 0. Calculate r.\nAnswer: -49, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 250 (b) 257 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 - -33. Let w be (z + -2)\/(3\/(-2)). Let g be (7 - (-485)\/(-40)) + 5. Which is the biggest value? (a) w (b) -1\/14 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c*h**2*s + 152*c*h**2 - c*h*s - c*h - 36715*c*s**2 - 9*c*s + 98625*h**2*s**2 + h*s wrt h.\nAnswer: 4*c*s + 304*c + 197250*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2 + 4975976*r.\nAnswer: -4*r*(r - 1243994)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*h + 9*h + 5*h**2 + (-h - 1 + 1)*(2*h + 2*h - 5*h) + h**2 + 0*h**2 + h**2 - 4*h**2 + h**2 - 6*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + k - 12 = 4*a, 4*k = a + 23. Let r = -9 - a. Does 17 divide 25*(r\/(-8))\/(2\/8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 159140 and 14990988.\nAnswer: 74954940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2 + 838175*r + 2514516.\nAnswer: (r + 3)*(r + 838172)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 5*l - 46, -2*c - 2*l + 28 = -0*l. Let z = -1230 - -1246. Calculate the lowest common multiple of c and z.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of 5*f**4\/4 + 8*f**3\/3 + 3*f**2 - f - 5. Let q(l) = 9*l**3 + 15*l**2 + 11*l - 2. Determine 6*q(k) - 11*t(k).\nAnswer: -k**3 + 2*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + g - 383 = -b, 73 = b + 2*g. Suppose 0 = -4*u - 17 + b. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4819844899.\nAnswer: 4819844899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - u - 3 = 0, 49*q - 45*q - 17*u + 12 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 27096 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3480)\/28 - (-2)\/7. Let g be ((-2)\/(-4))\/(h\/(-6330)). Let z = g - 3\/124. What is the common denominator of z and 52\/11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0096? (a) 1 (b) -0.3 (c) -11 (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -33, 0, 88693 in descending order.\nAnswer: 88693, 2, 0, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 18850 - -3?\nAnswer: 18853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 b when two letters picked without replacement from bbxbxbb?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -309, -589, -847, -1071, -1249, -1369?\n\"Answer: 2*m**3 - m**2 - 291*m - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(((j\/(j*j\/(j**(1\/13)*j*j*j)*j)*j)\/j)\/j)*j*j*j*j**15 assuming j is positive.\nAnswer: j**(246\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 4*w = -33, 0 = -4*x + 4*w + w + 10. Suppose -20 = 5*a - 35. Let o = x - a. Calculate the smallest common multiple of 11 and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -55*t - 18 - 13 - 134 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h**5 + h**5 - 3*h**5 + (-4*h**3 + 6*h**4 + 4*h**3)*(-1 + 1 - h) + 0 + h**5 + 0.\nAnswer: -3*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2484675ng in tonnes?\nAnswer: 0.0000000000000002484675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -3\/4*g**2 + 1\/4*g**3 + 28 - 6*g. Find t, given that p(t) = 0.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224*b + 216*b = -9320. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138626863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 12:21 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 - 6151501?\nAnswer: -6151510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 336\/(-414) + 3\/9. Let r = 1\/46 - m. Is r >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -13.6. Let c = -2.4 - s. Let q = 2 + -5. Is c >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/11 (b) -4\/7 (c) -6\/13 (d) -1 (e) -5\/33 (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -341*r + 337*r - 11, -21 = 3*m. Let x(s) = s**3 - 6*s**2 - 2*s + 7. Let g be x(6). Put g, 2, -14, r in decreasing order.\nAnswer: 2, r, g, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/4*(-17)\/204. Let t(q) be the first derivative of -5 - 1\/12*q**3 - l*q + 1\/4*q**2. Factor t(u).\nAnswer: -(u - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -3. Let y(d) = 10*d - 9. Let m(w) = 2*w - 2. Let q(n) = i*y(n) - 11*m(n). Calculate q(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1600 - -1599.99989688. Round g to 5 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*o = -15*o + 62 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x - 4*x + x)*(0 + 0 - 2*x) + (4*x + x - 4*x)*(-2*x + 4*x - 3*x) + (6*x + 6*x - 6*x)*(2*x - 4*x - 2*x).\nAnswer: -29*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and 24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -47 + 38?\nAnswer: -d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of n**2 + n - 1. Let k be 3*-1*(-2)\/6. Is d(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -1224?\nAnswer: -1225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, z: 2, b: 2, n: 9}. Give prob of sequence jbnj.\nAnswer: 9\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 11*q - 6. Let p(f) = 2*f - 1. Let s(o) = d(o) - 6*p(o). Let u(x) = 2*x**2 + 5*x. What is u(s(b))?\nAnswer: 2*b**2 - 5*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -26 + 7 + -1 - -6.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fc when two letters picked without replacement from kucfckq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -572 + 101 = -3*p. Suppose 5*b - p + 2 = 0. Find the first derivative of b - 20 - 6*q**2 - 12 wrt q.\nAnswer: -12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*n**3 - 10*n**3 - 14*n**3 - 3*n**3.\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 2616678.648 to the nearest one hundred thousand.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (1 + -1 + -1) - (245 + -93 + -179)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xzz when three letters picked without replacement from {s: 1, x: 1, z: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v - 3*v - 3*v**3 - v to the form a*v**3 + n + q*v**2 + d*v and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24907793 to the nearest integer?\nAnswer: 4991","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4087703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (14 - 23 - -6)) + (101 - 2)?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**4 - 21*h**2 + 18*h = 0.\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -35975, -35968, -35961, -35954, -35947, -35940?\n\"Answer: 7*x - 35982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + z - z**3 + z + 2 to v + a*z**3 + q*z**2 + f*z and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*i**2 + i**2 - 2*i**2)*((3 - 4 - 1)*(-3 - i**2 + 3) - 18*i**2 - 9*i**2 + 22*i**2) to the form h*i**3 + j*i**2 + u*i**4 + l*i + m and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 445 = 3*z. Let q = z + -54. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 3\/(9\/4) + (-190)\/30.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-18 + 7)) + -9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**2\/n)**22*(n\/(n\/n**(3\/13))*n*n)**(-1\/63) assuming n is positive.\nAnswer: n**(17989\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1154320801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 20623 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 15, 3, -6 in descending order.\nAnswer: 15, 3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1955*i - 1933*i + 70 = -84 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -453*j - 62*j = -39*j + 4284. Let m(b) = -b**3 - 9*b**2 + 14. Determine m(j).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -148.8034609 rounded to 2 dps?\nAnswer: -148.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-44609)\/(-496) + (-1)\/(-16) and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 l when two letters picked without replacement from {z: 1, q: 7, k: 6, g: 2, l: 2}.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 666 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 26 - 32 = 0. Let f be (-4)\/(14 + o) - 80\/(-15). Solve 4*m - 19 = 5*v, -4*v + 3 = f*m + 10 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {f: 3, o: 6, r: 2, b: 1}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -24*v + 6*v**2 + v**2 - 10*v**2 - 48 = 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 75 = -0*m. Let y be ((-8)\/(-10))\/(2\/m). What is the highest common factor of 6 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.1 (b) -10 (c) 0.291 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0 (b) -4.4 (c) 59\/6 (d) 3 (e) 36\/5 (f) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of 2\/3*j**3 + 0*j**2 + 39*j + 0*j**4 + 0 + 11\/2*j**5. What is the second derivative of l(q) wrt q?\nAnswer: 660*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -5, -1, -31, 1.\nAnswer: -31, -5, -4, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(3 - (-24)\/(-10)). Is 1\/3 greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 674 + -636. Sort -5, -4, g in decreasing order.\nAnswer: g, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**15*r**15 assuming r is positive.\nAnswer: r**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2261)\/3230 + (-10665)\/(-450)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and -314.64398.\nAnswer: -314.44398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from trjjjbrrtr. What is prob of picking 3 r?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*j = -0*o - 9, -21 = -2*o + 5*j. Suppose 0 = -o*t - 17 + 95. Solve 2*c + 2*c = 2*l - t, -c - l - 2 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8155020864.6063 - 8155021627.78356832427. Let r = 0.17730262427 + n. Let t = r - -763. Round t to 6 decimal places.\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.1 - -3. Let q = 0.1 + -0.3. Let x = 172633 - 172636. Which is the nearest to h? (a) x (b) q (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 7*s + 2*s = 102, 0 = -5*n - s - 278. Let m be ((-2)\/8)\/(7\/n). Differentiate 0*u**3 - 13*u**3 + 4 - m with respect to u.\nAnswer: -39*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xj when two letters picked without replacement from jmjx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6078387 litres in millilitres?\nAnswer: 607.8387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31067732?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2261 and -1226.08?\nAnswer: 1226.3061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -5\/2*i**2 + 0*i**3 + 0*i**4 + 0*i**5 - 1\/6*i**6 + 0*i - 6. What is the second derivative of d(o) wrt o?\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 469166 is divided by 113?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 11535030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/9, -2\/25, -2, 3, 8.79 in decreasing order.\nAnswer: 8.79, 3, -2\/25, -4\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -12263357 (base 8) to base 10\nAnswer: -2713327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -238 + 1437. Suppose -8*k = -w - 11089. What is the hundreds digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 - -24. Let d = -1 - -3. Which is the third smallest value? (a) -0.4 (b) p (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -r**2\/2 + 2. Let o(u) be the first derivative of -u**2 + 5*u + 9 + 4*u - 9*u. Give q(o(l)).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 547 - 561.98. Round i to the nearest integer.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -7. Which is the second smallest value? (a) t (b) -5 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6424, 6424, 6420, 6412?\n\"Answer: -2*u**2 + 6*u + 6420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5311490*l**4 + 3557060.\nAnswer: -21245960*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y + 15 + 10 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkkxkkkwxwkw. Give prob of sequence xkwk.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 18*m**2 - 778*m + 76. What are the prime factors of v(54)?\nAnswer: 2, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16445 and 628245?\nAnswer: 89839035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*j + 14928 = -24*j + s, -17*s = j - 4976. Does 8 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, m: 2, w: 2}. Give prob of picking 1 m and 2 w.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/1277 and 50\/3.\nAnswer: 3831","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + k**2 + k + 8. Let q be u(0). Suppose -n + 3*n + 4*v - q = 0, -2*n + 3*v = -36. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 a, and 1 s when three letters picked without replacement from kusuauask.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mz when two letters picked without replacement from mouzouzuzzzmzzouu?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15\/7*k**3 + 0 + 48\/7*k**2 - 64\/7*k + 1\/7*k**4 = 0. What is k?\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 5*j + 21, 3*j + 2*i = -10 - 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 8:21 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 b, 1 e, and 1 d when four letters picked without replacement from edmdceedbddcbccblded.\nAnswer: 28\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8 (b) 0.2 (c) 27\/4 (d) 1 (e) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1111031 - 215?\nAnswer: -1111250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 3226524?\nAnswer: 3226530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*v + 6 = 0, 3*i - 3*v - 18 = -7*v. Suppose -i*p + 1330 = -4*p. What is the common denominator of (5\/(-2))\/5 - p\/90 and 31\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -3233*l. Let t(y) = 4722*y**2. What is t(p(g))?\nAnswer: 49355708658*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 6:53 PM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 117 and 234.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*y = 32, 0 = 2*u + 3*u - 2*y - 94. What are the prime factors of u\/(-30) - (-122)\/3?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 544 and 1394.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 1 + 2 = 0. Let i(c) = c + 5. Let z be i(-3). Suppose -g = -2*m - 16 - 7, z*m - 29 = -q*g. Solve -t + 0*t - g = -4*w, -2*w + 8 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9824, 18473, 27108, 35729, 44336, 52929, 61508?\nAnswer: 70073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 131328 and 2743524?\nAnswer: 175585536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15870 - 15898. Sort 2, d, -41 in ascending order.\nAnswer: -41, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 395?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.04 + -0.04. Let u = -12.47 - -12. Let t = -0.03 + u. Which is the second smallest value? (a) -3 (b) t (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 246 - 234. Solve 2*t + s = -4*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t - 1. Let o(c) = 22*c - 1. Let z(p) = 6*l(p) - 2*o(p). What are the prime factors of z(-3)?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**5 + 5*q**5 - q**5 + (4*q**2 - 8*q**2 + 10*q**2)*(q**3 + 0*q**2 + 0*q**2).\nAnswer: 8*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -5, 20218 in ascending order.\nAnswer: -5, -4, -1, 20218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -91 + 100. Is f not equal to -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*q = -486 - 1194 + 184 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, h: 13, x: 4}. What is prob of sequence hghx?\nAnswer: 26\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/14)\/(243\/378).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -617 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 8*a**2 + 7*a - 3. Let y(g) = 3*g**2 + 2*g - 1. Let m(w) = -4*t(w) + 11*y(w). Determine m(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18907398?\nAnswer: 2, 3, 350137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -2*s + 12, 10*s - 5*s = -3*k + 11 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 306 - 329 = -4*z, -3 = g. Calculate the highest common divisor of z and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1207247745 and 21.\nAnswer: 8450734215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 4 (b) 2 (c) -28 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*w = 3*d + 41*w - 43, -2*d - 2*w = -22 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*j**3*t**2 - 22*j**3 + 4*j - 7*t**3 wrt t.\nAnswer: 6*j**3*t - 21*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50818\/11727 + -1\/11727. Which is the closest to -0.1? (a) h (b) 1\/7 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -264 + 270. Calculate the remainder when 53 is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, v: 9, u: 3}. What is prob of sequence gg?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 24\/(0 - (-3 + -2)\/30). What is the highest common divisor of k and 480?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2539*z**5 - 920*z**2?\nAnswer: -152340*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -762, -763, -764, -765, -766, -767?\nAnswer: -768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**2 + 98*o + 122. Determine z(-48).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -0*r - 18. Let c(d) = 2*d - 2. Let a be c(r). Suppose -2*x = -2*l - a, 4*x + 0*l - 30 = -l. What is the remainder when x is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + b**2 + b - 39. Let t be v(0). Let n = t + 37. Let i be (n + -1)\/(6\/(-16)). Solve -3*y = y - i for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 880135 - -2?\nAnswer: 880137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = -1 + 15. Suppose 2*a - 56 = 2*h, -4*h = -3*a - r*a + 142. Calculate the lowest common multiple of a and 35.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-1*(sqrt(242) - (3 + sqrt(242) + 0 + sqrt(242) + sqrt(242)) - (sqrt(242) - (3 + sqrt(242)))*1))**2*-6.\nAnswer: -5808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 3:30 PM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114087.\nAnswer: 3, 17, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -429*f**4 + 854 - 363 + 71*f**4 wrt f.\nAnswer: -1432*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**2\/4 + 28*y - 55 = 0.\nAnswer: 2, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**5 - 48*h**4 + 144*h**3 + 128*h**2 - 768*h.\nAnswer: 4*h*(h - 6)*(h - 4)**2*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20700 divided by -25.\nAnswer: 828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 549 and 4932?\nAnswer: 300852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 11:32 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 0*k - 31 = -4*p, -2*k = -p + 16. Suppose 82 + p = 2*i. Calculate the remainder when i is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*x - 6*x + 12*x as o + t*x and give t.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -128, -151, -212, -329, -520, -803?\nAnswer: -1196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 4*r**2. Let w(v) = 1114*v. Determine w(u(t)).\nAnswer: 4456*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 7503*f. Let p(i) = 3*i. Calculate p(a(z)).\nAnswer: 22509*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155 = -5*j + 5*l, 0 = -j - 2*l - 1 + 38. Suppose 3*p - j = -0*p. Let y = -9 + p. Which is smaller: 4\/3 or y?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74866 divided by -2.\nAnswer: -37433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 429 and -228546620.\nAnswer: -228546191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and (-4 + 14\/6)*-3?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 9:00 PM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 7 + 4 + -9.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2. Let t(f) = 32*f**4 + 40*f**2 - 48. Let k(j) = 40*d(j) + t(j). Differentiate k(n) with respect to n.\nAnswer: 128*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 b when four letters picked without replacement from {r: 1, c: 6, t: 1, b: 1}?\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*v + 270 = -162*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1006996.\nAnswer: 2, 29, 8681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 30?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -635517 - -26691869\/42. Let u = 143\/203 - 4629\/4060. What is the common denominator of g and u?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -287*g - 289*g + 564*g - 36 = 0. Sort -46, -1, 5, g, 3 in ascending order.\nAnswer: -46, g, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/10*(-78950)\/(-94740).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*t - 6397 = 21392. Solve 467 = -f + t for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 3*p = -3*g + 17, 5*g = -2*p + 7 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 12*d**2 + 40*d - 223. Let u(z) = -5*z**2 - 21*z + 111. Let i(f) = -2*c(f) - 5*u(f). Let b be i(-30). Calculate the greatest common factor of b and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cwcgw. What is prob of sequence gc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1356?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (17 - 57) + 25 + 13 + 1.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 4)*(-2 + 2 - n)*(2*n + 0 + 0)*(6*n + 6*n + 5*n).\nAnswer: 68*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 256077?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 - 20.8. Let g = 3.5 + -4. What is the second biggest value in n, 0, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w - 15. Let o(k) = k - 7. Let v(x) = -5*o(x) + 2*q(x). Let p be v(-8). Sort p, 2, -6 in increasing order.\nAnswer: -6, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + l = -10, -2*l = -2*g. Let f(o) = 5*o**3 - 3*o**2 - 3*o + 3. Let d(r) = -r**2 + r**3 + 7 + 0*r - r - 6. Determine g*f(h) + 6*d(h).\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 2\/5, 4\/5, 3, -6?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 56459813 + -0.266837.\nAnswer: 56459812.733163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 104801 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.3586 rounded to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + 0)\/(0 - 1). Let p be -6 + 6 - i\/(-12). Sort 3, p, -0.2 in ascending order.\nAnswer: -0.2, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 13*s + 1. Calculate r(14).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 2*j = 75. Let d be (0 + -13)\/(3\/j). Suppose -5*i = 4*w - 0*w - d, i = 1. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 251068 + -52847. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -9405699 and -2.\nAnswer: -9405701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 2:59 PM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t - 20, -8*n + t - 4 = -4*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 453019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - k + 13094, 3*k - 52381 = -0*m - 4*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 167, 330, 483, 620, 735, 822, 875, 888?\nAnswer: 855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of 1\/300*d**5 - 104*d**2 + 0*d**3 - d - 1\/20*d**4 + 0. Factor q(k).\nAnswer: k*(k - 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3122489 millilitres in litres?\nAnswer: 0.0003122489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, d: 2, e: 9, y: 5, m: 1}. Give prob of sequence yyd.\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7246*l**3*v**4 - 3*l**3 - l**2*v**4 - 7859*l wrt v?\nAnswer: 28984*l**3*v**3 - 4*l**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 753200 and 7827900.\nAnswer: 219181200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/2)\/((-15)\/(-30))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -110.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140227 - 30340 = -5970*p - 102409 - 193664 for p.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + m - 1889 = 0, 24*f + 940 = 25*f - m. List the prime factors of f.\nAnswer: 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**2 - 2*r**2 + 8*r**2 + (-2*r + 1 - 1)*(-r + 6*r - 4*r).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k + 3*n = 6*k + 5, -n = 3*k + 10. Is -2 != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -0.2, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 5, -9, -20 in decreasing order.\nAnswer: 13, 5, -9, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (120\/(-18))\/(-20)*3\/(-50).\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 11.3, 0, 5, -4, -12, -2 in increasing order.\nAnswer: -12, -4, -2, 0, 5, 11.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 - 15. List the prime factors of f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of -11*l**6\/120 - 3*l**5\/20 + 3*l**4\/8 + 240*l**2. Let q(j) = -16*j**3 - 13*j**2 + 13*j. Give -5*q(h) + 7*w(h).\nAnswer: 3*h**3 + 2*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 393 + 1510. What are the prime factors of a?\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of t**7\/15 - 109*t**5\/60 - 7*t**4\/8 - 37*t**3\/6 + 5*t**2 + 303*t. Find the second derivative of j(a) wrt a.\nAnswer: 168*a**2 - 218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18380 + 18378.80034. What is k rounded to one decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6066 - 2413. List the prime factors of j.\nAnswer: 13, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**15*j\/((j**13\/j)\/j))\/((j*j**(-4)*j*j)\/(j\/j**1)))**38 assuming j is positive.\nAnswer: j**228","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1586 + 12?\nAnswer: 1608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4414 - -4388.055. Let o = -0.055 + b. Let u = o - -26.00067. Round u to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228 = 38*n - 532. What are the prime factors of ((-7944)\/n)\/(3 - (-33)\/(-10))?\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(-1 + 1)\/2. Let z be -5*1*(-1 - j). Let n(v) = -3*v**2 + 6*v - 1. Let r(p) = p**2 + 4*p**2 + 29*p - 4*p**2 - 30*p. Give z*r(i) + n(i).\nAnswer: 2*i**2 + i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of -r**8\/2240 + r**7\/2520 - r**6\/720 - r**5\/120 + r**4\/12 + r**2. Let m(f) be the second derivative of n(f). Give m(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 + 20.5. Let m = o + 3.3. Let k = -8\/11 + 87\/44. Which is the nearest to 2? (a) k (b) 2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5566372182 rounded to 2 dps?\nAnswer: 1.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 294944 * 0.3.\nAnswer: 88483.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*c*d**3*q**3 + 2*c*d**2*q + 335*c*q**3 - 2*d**3*q**2 - 420*d**2*q**2 + d*q wrt q.\nAnswer: -24*c*d**3 + 2010*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -331 + 333.3. Do x and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-882 - -829) + -2 + 27?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2. Let b(i) be the first derivative of i**4\/8 + 3*i**2\/2 - 5. Let v(y) be the second derivative of b(y). Determine m(v(d)).\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1319 divided by 133?\nAnswer: -1319\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 57 = -5*z. Suppose -z = -k + 9. Is 12 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-26 + 27)\/(2\/(-10)). Let k(d) be the first derivative of -7*d**3\/3 + d**2 + 6*d - 8. Let c(q) = -6*q**2 + q + 5. Determine h*c(g) + 4*k(g).\nAnswer: 2*g**2 + 3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -22ba + -43?\nAnswer: -2330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32.2 + 9.1. Let k = -43 + j. Let y = k + 1.5. Which is the second smallest value? (a) -2\/15 (b) -0.1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.033224832 to four decimal places.\nAnswer: 0.0332","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-7) - (-104910)\/182. Suppose v - 167 - p = -3*x, -x + 261 = -4*v. What are the prime factors of x?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 1 - u**3)*(0*u**2 + 3*u**2 + 0*u**2).\nAnswer: -3*u**5 + 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/3)\/(14\/(-42)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 11553.16 and 53886.3.\nAnswer: 65439.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(44)\/sqrt(4)*4 - (sqrt(275) + sqrt(275)*2))*2.\nAnswer: -88*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38 - 2310\/(-80)*(-12)\/(-9).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*t**3 - 58*t**3 + 28*t**3.\nAnswer: 11*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*5\/((-45)\/168). Let y = t - 54. Suppose n + y = 0, -2*n - 10 = 3*s - 4*s. What is the least common multiple of s and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1834765.\nAnswer: 5, 366953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3*x**3 + 2*x**3 - 2*x**4 + 29*x**2 - 15*x**2 + 0*x - 2*x - 16*x**2 as z*x**4 + b*x + o*x**3 + p*x**2 + d and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 10) to base 11.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -15*s**2\/2 - 76113*s\/2 + 30450 = 0.\nAnswer: -5075, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1260\/16*(-2)\/(-7)*(-24)\/18\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2551*j + 2551*j - j**2 - 2. Give o(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -6*c. Let h be 50\/(-10) + 344\/2 + -2. Let j(d) = -166*d**2 + 1 + 330*d**2 - h*d**2 + 1. Calculate j(f(b)).\nAnswer: -36*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 541604 and 203?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.703 + 0.303. What is the fifth smallest value in q, -2, -1\/16, -5\/3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -111548.4 and 1039.9982.\nAnswer: -110508.4018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17277904 to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 86 - 107 = -5*w, -18 = -2*i - 4*w for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 9*z + 14. Let y be o(7). Let l be (-3 - y) + 3 - -3. Solve -l*t - h = -4*h - 9, t = -2*h - 9 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-53 - (-1 - -5) - (69 + -70)) + -3 + 11\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pml when three letters picked without replacement from mmplayalpmpllly.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 - (-38 + 13 - -21).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 173511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -5*j + 392, 48*f - 5*j = 43*f + 1960. What is the greatest common divisor of 931 and f?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -1 - 169*j + 191*j + 1. Let a(u) = -11*u**2. Give a(q(m)).\nAnswer: -5324*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -7322, -6, -2, 0 in descending order.\nAnswer: 5, 4, 0, -2, -6, -7322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 + 4*j - 1. Let y be u(4). Let s(g) = 6*g. Let r be s(y). Let q(h) = -2*h + 3. Calculate the remainder when 58 is divided by q(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29695*z - 29588*z - 4189*z.\nAnswer: -63472*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -431051, -431043, -431023, -430985, -430923, -430831, -430703?\nAnswer: -430533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 211\/1818 - 1\/202. Put 0.5, -5, p in ascending order.\nAnswer: -5, p, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 5*d + 8. Let w be o(-6). Suppose 90*s - 858942 = -36*s. Suppose w*l + 0*a + a - s = 0, -2*l = -2*a - 6808. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*w = -0 + 2, 5*l - 10 = -5*w. Solve -4*q + l*q = -4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1)**40\/(t**(-2\/7))**(-31)*((t**4)**(-4\/15))**(-1\/8) assuming t is positive.\nAnswer: t**(3284\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -2013?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 5 = 3*m, 4*n + 5*m - 18 + 15 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 14) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/136751680 and -27\/7704320.\nAnswer: 547006720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 842 + 117. Suppose 2*t - b - 1 = 0. Suppose 3*j = 3*p - t, -9 = 5*p + 3*j - 100. Solve 0 = 3*d + d + p for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1154122586?\nAnswer: 2, 19, 30371647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -48515 and 334?\nAnswer: -16204010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 395 = -115. Let j = -40 + u. What is the remainder when 31 is divided by j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12604*0.5\nAnswer: 6302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211112 - -12211100000?\nAnswer: 12212011112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y**2 - 2*y + 6. Determine h(-4).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 13.85. Let j = -0.1500038 - f. Round j to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a gram in milligrams?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*d + 4*u - 14, 4*u = -4*d + 16. What is the remainder when 12 is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -102*45\/810*20\/(-34)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ynj. Give prob of sequence nj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9112 and 7208.\nAnswer: 482936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 134871\/44 - ((-10)\/(-8) - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 257063, 514150, 771233, 1028312, 1285387, 1542458?\n\"Answer: -2*x**2 + 257093*x - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -9*a**3 + a**2 - 10*a - 43. Let o(q) = -37*q**3 + 5*q**2 - 39*q - 171. Let f(b) = -2*o(b) + 9*w(b). What is the tens digit of f(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 24*v - 10735. Is 16 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4*b**3 + 21*b**2 + 30*b + 74. Let f be v(17). Suppose 2385 = -13*p + f. Calculate the greatest common factor of 115 and p.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 1:18 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*q - 46*q = 28 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4631 or 4522?\nAnswer: 4522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-8 - -13) + -4 + 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that b**2\/4 + 2481*b\/4 + 749719\/2 = 0.\nAnswer: -1439, -1042","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 446 - 404. Suppose -17*g + 24*g = q. Solve -m + 2*m - 2*u = -g, -4*m = -2*u + 12 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -398 + -326?\nAnswer: -6c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q. Let l(w) = -w - 4. Let b be l(-6). Suppose -2*u = b*u. Let f(h) = h - h - h + u. Calculate g(f(y)).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -4*w**3 - 7*w**2 - 9*w - 15. Let r be y(-10). Let m = r + -37084\/11. Let h = -28\/79 + -6185\/158. Find the common denominator of m and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = f + 4*j, 3*j + 2*j = -5*f + 185. Suppose z + f = 6*z. Is z a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 24*h - 44. Let k = 41 - 34. What is the remainder when r(k) is divided by 33?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (68\/26)\/((-19678)\/511628)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -810 - -514. Let f = -295.999436 - x. What is f rounded to 5 decimal places?\nAnswer: 0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -9, -34, -8 in increasing order.\nAnswer: -34, -9, -8, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + -2)\/((-24)\/8). Put -6, -3, c in ascending order.\nAnswer: -6, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11\/4? (a) 0.1 (b) -4\/11 (c) -0.3 (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, h: 2, b: 1}. What is prob of sequence eb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/67, -2\/3, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7032, 7033, 7034, 7035, 7036, 7037?\n\"Answer: s + 7031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of 718*l**3\/3 - 1029. Let y(m) = -m**2. Give d(y(x)).\nAnswer: 718*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 473*f**2 + 20*f - 18. Let k(c) = -737*c**2 - 31*c + 28. Let t(g) = -9*k(g) - 14*r(g). Let h(u) = u + 0*u - 3*u. Give t(h(q)).\nAnswer: 44*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 7*m**2 - 6*m + 8. What is w(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*j = -11*j + 12 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17487 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/3)\/(4\/(-18))*(-2196)\/(-8235).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72555600 divided by 3.\nAnswer: -24185200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1d (base 15) in base 3?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*2*(-3)\/36.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-23*497\/(-47357))\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - -12*15\/350) + 3\/15. What is the second smallest value in -1\/7, 4, -4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.5, -2\/409, -1 in decreasing order.\nAnswer: -2\/409, -1, -3.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 517.6344 rounded to the nearest ten?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -4*b**2 - 380*b - 9818. Determine s(-27).\nAnswer: -2474","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j - 4. Let k(d) be the first derivative of d**3\/3 - d**2\/2 - 110. Let q(m) = -a(m) - k(m). Let w be (-3)\/(10\/(-4) + 2). Determine q(w).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13510256 + 51?\nAnswer: -13510205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -90078 divided by 4?\nAnswer: -45039\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 6*g**2 - 2*g - 5. Let f be l(7). Suppose -f = 5*q - 0. Let t(i) be the first derivative of 2*i**2 + 5*i + 2. What is t(q)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + -2)\/(6\/(-8)). Let t be 2\/(-3) - 40\/(-15). Let x be (-8)\/(-6)*6\/t. What is the highest common factor of x and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -4c?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 11. Let d(v) = -3*v - 4. Let a be d(p). Suppose -a*g = -g - 124. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: d (base 14) to base 10\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -10.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 5*l**2. Let s(d) be the third derivative of 1\/60*d**5 + 13*d**2 + 0*d**3 + 0 + 0*d + 0*d**4. Give u(s(w)).\nAnswer: 5*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 881*o = 866*o - 5*l, -3*o = 4*l - 9 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 2*y**2 + 1682*y - 98560 = 0.\nAnswer: -896, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2728 divided by -31.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18.8104 + 18.9304. Let m = -176\/3 + 58. What is the closest to z in 0, m, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((282\/3)\/1)\/((-13)\/10). Let v = p - -72. Which is smaller: v or 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4 = -3*o. Let p be -1 + (3\/9)\/o. Let m = -400.9 - -401. Put m, p, 0.4 in descending order.\nAnswer: 0.4, m, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5523280 rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 6044*c - 6058*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/4 + -3 + 81\/(-36).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 - 21. Suppose -c + 10 = 3*a. What is the second derivative of -n**a + 7*n**3 - 84*n + 81*n wrt n?\nAnswer: 36*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9.6 in -3, -0.5, 510?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - (-8)\/(-10))*(-40)\/16. Solve -d + 2*m = 4*d + 4, -12 = 3*d + j*m for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2908 + 4612 + 1509 = 63*k for k.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -102.64 - -101. Let s = -2 - d. Let b = s - -0.152. What is b rounded to two decimal places?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 117*x**3 + 7968*x**2 + 19*x - 329322374.\nAnswer: 351*x**2 + 15936*x + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1205 + 1214. What is the greatest common divisor of y and 51?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 96399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -7094.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b + 7. Let j be d(5). Solve 2*v + j = -2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29.2 * 1.91.\nAnswer: -55.772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u + u = 72. Calculate the remainder when 3 - (-2 + -24 - 4) is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 34*o - 144. Does 11 divide b(23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (5 + -2 + -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 242 and 330?\nAnswer: 3630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1\/5 (b) 250\/3 (c) 1\/2 (d) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 463 is divided by 153.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -m + 2*s + 37, 6 = 2*s. Solve 0 = 4*c + k + m, 4*c - 3*k = c - 21 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 14\/6711?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1940 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.7 + 0.8. What is the closest to -1\/4 in a, 1\/2, 0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -27*a - 9. Let f(x) = 13*x + 4. Let g = -895 + 899. Calculate g*j(o) + 9*f(o).\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.559 - -0.441. Let k = 711\/8 - 89. Let s(o) = -o**3 + o**2 + o + 1. Let b be s(2). Sort k, b, t.\nAnswer: b, k, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2884.32 milliseconds to hours.\nAnswer: 0.0008012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 605*u - 29288 = 591*u. What is the thousands digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1250700 to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -5*w + 1860, -4*f + 5*f - 2*w = 912. Suppose 0 = -20*r + 25*r - f. List the prime factors of r.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/180 and -16\/275.\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - (0 + 284)*3\/(-6). Suppose g = 5*t + 109. Is t a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -4 - 2 - (-1 + 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000189 to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2500072*r**3*x**2 + 4*r**3 + 26*r*x**2 - 1554975*r wrt r?\nAnswer: 15000432*r*x**2 + 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.09 - -0.81. Let k = j + 2.1. Let r = 5.3 - 5. What is the smallest value in r, k, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2702813063 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3329.\nAnswer: 3329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + (1*(-3 + -4*sqrt(1900))*-4)**2).\nAnswer: -973088 - 7680*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -0.148, 0.3, -447, 2, -2 in decreasing order.\nAnswer: 2, 0.3, -0.148, -2, -10, -447","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16169 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 213\nAnswer: 639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 2\/19, 0.64, 0.2?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1143651095?\nAnswer: 5, 829, 275911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - -18.03. Let d = w - 4.03. Which is the second smallest value? (a) d (b) -1\/2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((25\/870)\/((-73)\/438))\/(((-325)\/10)\/(-13))?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 624\/260 - 4\/10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -559*c**2 - 2810*c**5 + 559*c**2 - 2327*c**5 + (3*c**3 + 0*c**3 - 5*c**3)*(c**2 - 2*c**2 - c**2).\nAnswer: -5133*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 838*o**3 + 3516*o**2 + 656*o.\nAnswer: 2*o*(o + 4)*(419*o + 82)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 481234 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 497962 or 14938831\/30?\nAnswer: 497962","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20473376537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (55\/385)\/((-12)\/14)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7381.479g to kilograms.\nAnswer: 7.381479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1548 + 5*h - 1548 - 10*h.\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102 - 210222000?\nAnswer: -210221121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 127*o + 128*o + 10*o**3 + o**4 - 2*o**4 as p*o**4 + l*o**2 + b*o + h + d*o**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (56\/16)\/(3\/54). Suppose -300 = -3*p - w. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 14\/3, -1?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -63, -85, -107, -129, -151?\nAnswer: -173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppppppppppnppppp. What is prob of picking 2 p?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 29474177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l. Let z(n) = -2013401*n**2 - n - 2. Calculate b(z(g)).\nAnswer: 4026802*g**2 + 2*g + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/45 + 18\/(-20))*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -9.4*0.155933\nAnswer: -1.4657702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1834295 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - d = -39, -4*p - p - 5*d = -45. Let x(u) = -6*u - 2*u**2 + 14*u + 8*u + 6*u - 6 - 3. Let a be x(p). Do a and 12 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g. Let s(x) = -x**3 - 7*x**2 - 6*x. Let v be s(-6). Let z(r) = -3*r + 0 + 0*r + v. Calculate -8*f(u) - 3*z(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/4))**(5\/4)\/(b**8\/b*b\/(b*b**3*b)) assuming b is positive.\nAnswer: b**(-43\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**5 + 5750*k**4 - 22976*k**3 + 22968*k**2.\nAnswer: -2*k**2*(k - 2871)*(k - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) 0.1 (b) 1.7 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -24 + 30 - -6\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 11*v = -14*v - 945, -4*v - 940 = -t. Suppose -3*k + 7*k = t. Does 12 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, w: 13}. What is prob of picking 3 w and 1 f?\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, y: 3, k: 3, p: 1, b: 1, q: 2}. Give prob of sequence pk.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 3, -1, 6, -4, -1510?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 1 = -4*p. Let v(w) = 12*w + 1. Let l be v(p). Suppose 5*c - 2*o + 3*o + 24 = 0, -5*c + 29*o = -246. Put l, -4, c in decreasing order.\nAnswer: c, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i + 4*i + i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/5 + 6*r**2\/5 + 8*r\/5.\nAnswer: -2*r*(r - 4)*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -99, -156, -235, -336?\nAnswer: -459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - (-4 + 3)*-1. Suppose -z = 4*n + z - 110, c = n - 4*z - 14. Suppose 5*s - n = 3*s. What is the remainder when 25 is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 365.018 decades in millennia?\nAnswer: 3.65018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 11:17 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of 11*o**4\/2 - 29*o + 29. Let b(s) = -44*s**3 + 59. Let a(m) = -3*b(m) - 5*d(m). What is the first derivative of a(h) wrt h?\nAnswer: 66*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-624)\/182*(108\/(-18) + -1).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.5 * 2072009.\nAnswer: -11396049.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by (38 - (-1022)\/(-28))\/(-1 + 50\/44)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -54*d**2 + 149*d - 16. Let x(u) = 112*u**2 - 297*u + 36. Let f(v) = 5*l(v) + 3*x(v). Factor f(y).\nAnswer: 2*(y - 2)*(33*y - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6609, -6573, -6615, -6735, -6933, -7209, -7563?\n\"Answer: -39*n**2 + 153*n - 6723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2)\/p**(1\/8))**(3\/41))**(20\/9) assuming p is positive.\nAnswer: p**(-85\/246)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*o + 938 = 6*o for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -1058?\nAnswer: 1063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -18*o**2 + 18*o + 71. Let z(y) = 8*y**2 - 8*y - 35. What is 3*f(q) + 7*z(q)?\nAnswer: 2*q**2 - 2*q - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*j**5 - 57*j + 57*j + 2*j**5 - 2*j**4 + 2*j**4 + 5*j**5 - 2*j**5 - 2*j**5 + (j + j**4 - j)*(3*j - j + 0*j).\nAnswer: -j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 4*i + 18. Let q be b(3). What is the highest common divisor of q and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -942, -1891, -2840, -3789?\nAnswer: -4738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(35) + sqrt(175)\/sqrt(5)))\/(4*sqrt(63))*-1.\nAnswer: -5*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3986\/5 + 191563\/240. Let y = 3\/964 - -4277\/241. What is the common denominator of y and t?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -257*b**4 + b**2 - 2*b + 450.\nAnswer: -3084*b**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -6 - 9. What is the highest common factor of j and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -7*g**4\/24 - 22*g**2. Calculate the remainder when 13 is divided by w(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -60 + 65. Suppose q*h + 5*n - 30 = 0, 0*h + 2*h = 4*n + 36. Calculate the remainder when 37 is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 3*w + 5688, 5*p - 14*w + 10*w - 28473 = 0. What are the prime factors of p?\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 13) to base 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/22841 and 17\/3263.\nAnswer: 22841","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1*sqrt(85)*2)\/(-2*sqrt(245)).\nAnswer: sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - 3*i**2 - 20*i - 62. What is g(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 13) in base 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -210121 (base 4) in base 13?\nAnswer: -10a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 418.8103 meters to centimeters.\nAnswer: 41881.03","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ghhdggugguguuudgdd. What is prob of sequence ggu?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 k when four letters picked without replacement from {l: 5, k: 4, p: 6}?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 704 + -698. Let i be (-822)\/(-54) - (-2)\/(-9). Suppose -87 + i = -4*n. What is the remainder when n is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 + 3672\/51 + 2 + 23?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*1*2\/9 + (-1680)\/(-72).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + -534*(-4 + -216). Is a\/13 - 2\/(-13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/6)\/(200\/72 + -3). Let m(o) = 2*o + 3 + 2*o - 4 + 2*o**2. List the prime factors of m(l).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*-2 - (-11)\/((-11)\/(-4)). Let m(k) be the third derivative of 0 + 0*k - 1\/15*k**3 - 1\/120*k**4 - 6*k**z + 1\/300*k**5. Find r, given that m(r) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*l - 5, 3*j - 3*l = 0. Suppose -5*q + 26*g + 25 = 31*g, 4*g = 5*q + 20. Sort -4, j, q, 2.\nAnswer: -4, q, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7 - 8)\/(1\/(-4)). Suppose 27 = -5*v - 33. Is ((-915)\/9)\/(g\/v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 10:32 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/sqrt(10) + 1 + (sqrt(19) + (sqrt(19) + (sqrt(684) - sqrt(19)))**2)*-4.\nAnswer: -2735 - 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**3\/2 + 3932*x**2 + 3417989*x\/2 + 1705062 = 0. Calculate x.\nAnswer: -412, -1, 8277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + 1 - 2)*0. Solve 2*d + 4*b + 8 = -6, d + 5*b + 16 = z for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23884*o - 23832*o - 416 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 241858.44 months?\nAnswer: 20.15487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2348 + -688. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5104 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -86113460 to the nearest 10000.\nAnswer: -86110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0294 - -117205712.\nAnswer: 117205712.0294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 825 times -0.3\nAnswer: -247.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 157 (base 11) to base 5.\nAnswer: 1213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 301 divide 351293153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32021444014 - 3?\nAnswer: -32021444022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -136, 44, 0, -7, 5 in decreasing order.\nAnswer: 44, 5, 0, -5, -7, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/424550 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -289090 by 57818.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 0, 352, -589 in descending order.\nAnswer: 352, 3, 2, 0, -589","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 - -20.5. Let k = 50 - 47.1. Let j = 3 - k. Sort u, -1, j in descending order.\nAnswer: u, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -138 divided by -2?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*u**3 - 33*u**3 + 20*u**3 + 39 - 11 in the form q + l*u**2 + k*u + c*u**3 and give q.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -168 by -14.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -151, -300, -449, -598?\n\"Answer: -149*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 7*x**2 + 10. Suppose -6*j + 3*j + i = -5, 4*j = 3*i. Suppose g + 1 - 5 = 0. Suppose -2*u + r + 31 = j*u, -5*u = g*r - 51. What is h(u)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-192)\/21)\/((-18)\/14) and 17\/87?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + (-4 - -8)*1. Let p be (93 - 75)*4\/(-6). Which is the closest to -0.1? (a) p (b) f (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from roudj. What is prob of picking 1 r, 1 j, and 1 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*g**3 + 34*g**3 + 2*g**2 + 34*g**3)*(-g + 3 - 3).\nAnswer: -100*g**4 - 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aq when two letters picked without replacement from {a: 1, s: 1, q: 1, c: 1, o: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18006403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = 5*d + 59 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 1 = 5*b, 5*b - 8 = 3*z + 5. Let y be z\/(-42) + (0 - 0). Let u be 13\/132 - 2\/11. What is the closest to -1 in u, y, 0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 6. Let g(m) = 14*m**3 + m**2 - 2*m + 1. What is the units digit of g(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*o - 24. Suppose 0 = o*y - 0*y. Suppose y + 3 = 3*t. Which is the biggest value? (a) -4 (b) t (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/19 in 1\/2, 5, 1\/6, -137\/2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 9:33 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + -4. Let p = 59 - w. Let h = 638 - p. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -12*p - 4*p**2 - p**3 + 10*p + 2*p. Let s(j) = -j**3 - 4*j**2. What is 3*o(r) - 4*s(r)?\nAnswer: r**3 + 4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*d + 4*d - 2*d)*(4*d**2 + d**2 + 0*d**2) - d**3 + d**3 + 2*d**3 + 2 + d**3 - 2 + (2*d - 2*d - 2*d)*(2*d**2 + 0 + 0).\nAnswer: 74*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4*l - 4. Let n(k) = 2*k + 1. Let w(s) = -4*s**2 - 40*s - 20. Let i(u) = 280*n(u) + 14*w(u). Calculate i(d(j)).\nAnswer: -896*j**2 + 1792*j - 896","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17732 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.88 rounded to zero dps?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 823 divide 759237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173 = -3*q - 5*y, 0 = -0*y - y - 2. Suppose 0 = c + 5*r - 37, 4*r - q = -3*c - r. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 23 (b) 146 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = l + 4. Let z(b) = b**3 + 15*b**2 - 14*b + 32. Let a be z(-16). Suppose 4 = -a*x + l*x. Put x, -0.4, 4 in decreasing order.\nAnswer: 4, x, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14625 is divided by 206.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -a - 66695, -2*a = 2*s - 15966 - 10712. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 516 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f = -1378 + 118. Does 14 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 14*s = -150. What are the prime factors of ((-3732)\/s)\/(6\/(-15))?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -14*r + 8. Let v(g) = g**3 - 6*g**2 + 5*g - 7. Let u be (-1)\/2*(-20)\/2. Let k be v(u). Is c(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -64, -457, -1\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 5466311 = 1020*k - 1025*k, -k = 5*p - 1093210. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3 + (-4*(sqrt(76)*-4 + sqrt(76)))\/sqrt(4)) + 3.\nAnswer: -12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 16*l**2 - 20*l + 25. Suppose 0 = -5*f + 24 + 46. Let i be t(f). Let j = i - 19. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3026364 divided by 1212?\nAnswer: 2497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 12:39 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x + 1. Let o = 25 + -22. Let h be f(o). Suppose -4*k = 5*d + 7, -4*d = k - 5 + 15. Solve 0 = -k*y + h for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 37*w + 5. Let x be o(12). Let u = 1343 + -954. Suppose 2*l = x + u. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**2 + 22*u - 205452*u**3 + 1 + 1 + 205453*u**3 + 0 in the form v*u**3 + m*u + r + f*u**2 and give m.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-9)\/v)\/v)\/v*v**4)\/(v**(-7\/6)\/(v**(1\/4)\/v)) assuming v is positive.\nAnswer: v**(-91\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*t - 27*t + 7*t**2 - 23*t.\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32500\/1950*(-48)\/20?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 1 = 5*i + a, 3 = 3*i + 5*a. Let v = i - 1. Let l(h) = 5*h**2 + v*h**2 + 2*h**3 + 0*h**3 - 5. Let r(p) = -p**2 + 1. Calculate l(j) + 5*r(j).\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 28, 1\/4, 3\/2, -3\/11?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -72 + 126. Calculate the least common multiple of d and 6.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oqo when three letters picked without replacement from qastogo.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 3 = 3*v, -5*v + 1 = x + 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 492 + -187. Let j be (p\/310 - 1)*-1. Which is smaller: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37 (base 15) to base 3.\nAnswer: -1221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31444 - 31443.941013. Let u = 0.4821 - 0.4231. Let n = v - u. What is n rounded to six dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 99402.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -3444?\nAnswer: 4002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.62762457 to four decimal places.\nAnswer: 1.6276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**4 - y**4 - 2*y**4)*(645*y + 35*y + 492*y).\nAnswer: 1172*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.8 + 1. Let g = 1.61 - 1.91. What is the closest to 2\/5 in g, -3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*j + 4*j**2 - 39 + 39 wrt j?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60333 and 2338?\nAnswer: 20151222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 968383 and 7335.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -227*q + 684. Let r be k(3). Solve -34 = 3*u - r*i - 49, 0 = -3*u + 5*i + 19 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 295929*n**3 + 479001*n**2 wrt n.\nAnswer: 1775574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*c**4 - 7*c**2 + 7*c**2 - 2*c + c**4 + 2*c + (-2 - 2*c + 2)*(-c**3 + 4*c**3 - 2*c**3) as q*c**4 + a*c + w*c**2 + u + j*c**3 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.8 - 3.2. Let t = -7 - o. Which is the second biggest value? (a) 2\/7 (b) 4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -322579 - -120.796.\nAnswer: -322458.204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4019022*c*o**4 - 6*c*o**2 + 3*c*o - 117*c + 2*o**2 + 22*o wrt o?\nAnswer: -96456528*c*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b058ca (base 13) to base 10.\nAnswer: -4096726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 174?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hqq when three letters picked without replacement from {q: 8, h: 2, g: 4}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 7217*t - 223814. Calculate s(31).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.054, 0, -0.1, -2 in decreasing order.\nAnswer: 0.3, 0, -0.054, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, n: 2, e: 1, w: 1, m: 3}. Give prob of picking 1 e, 1 m, and 2 n.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 127 and 339979?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -2*o + 2*a + 238, -5*a = 4*o - 197. Let i = o + -44. Suppose y - 2*v = 19, -v + 57 = i*y - y. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -102078.\nAnswer: -102078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/25 + 34\/5 + -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/3762964 and -47\/32.\nAnswer: 30103712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212503258 is divided by 172?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 80851254 from 1.\nAnswer: -80851253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -665*t - 10197. What is d(-18)?\nAnswer: 1773","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -56*b**3 + 111*b**3 + 14*b**2 - 11 - 53*b**3. Let u be y(-7). Are -11 and u equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -321, -642, -963, -1284, -1605, -1926?\nAnswer: -2247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -3\/5 (b) -19 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1257.15 - -1257. Let l = 0.06 + 0.14. Which is the closest to r? (a) 1 (b) l (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/800 and 47\/140480.\nAnswer: 702400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1217 + 1226 + t + 0*t - 2458.\nAnswer: t - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6 + (-96166)\/(-15015) - (-6)\/(-15). Are -1 and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 399239.\nAnswer: 399239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 776544, 776647, 776752, 776859, 776968, 777079?\nAnswer: 777192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/7 or 10433?\nAnswer: 10433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/622968 and 31\/233613.\nAnswer: 1868904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 8*h - 14. Let r(x) = 3*x - 5. Let c(g) = 6*d(g) - 17*r(g). What is c(4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or -0.27?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i*i*i*i\/i**(-3\/10)*i)*i**(-3\/2) assuming i is positive.\nAnswer: i**(-29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/j**(-3\/2)))\/j*j*j**(-2\/7)*j*j**(1\/2)*j*j\/((j**(4\/7)*j)\/j))**36 assuming j is positive.\nAnswer: j**(288\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.292*0.3.\nAnswer: 0.0876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 4*j - 0*j + 21, -6 = 2*k + 4*j. Suppose 2*b - k*g = -27 + 151, 3*b = -g + 203. Let m = b - 55. Is m even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u + 2 - 2*u + 4 + 0*u. Let k be w(4). Suppose -4*p + k*h + 10 + 2 = 0, -4*h = -2*p. Solve 0 = 5*j + 20, -5*a + p*j = -j - 5 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4920.16 - -5000. Round c to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = m - 10, 5*m + 3*n = 5 + 1 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 57 + -35. Let q = -19 + w. What is the nearest to -3 in q, 2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 4*b**2 + 18 + 3*b**2 + 20*b**2.\nAnswer: 19*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.5, -0.1, -37\/144514, 0.08?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -453.8 - -2355120.3.\nAnswer: 2354666.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 130 - 130. What is the nearest to f in -0.1, -0.5, 0.6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l + 11. Let n be u(11). Solve g + 0*g - 1 = n, -2*g = -5*w - 7 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/744315 and 127\/7740876.\nAnswer: 38704380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of -43*b**5\/120 - 4*b**3\/3 - 62*b**2 - 1. Let d(w) be the first derivative of x(w). Let o(q) = 3*q. Calculate d(o(j)).\nAnswer: -129*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 1 - -1 - -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 148*k + 68*k + 321*k + 1 + 2*k**2 + 5*k**2 in the form q + f*k**2 + l*k and give l.\nAnswer: 537","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - h**2 + h - 4. Let p be d(2). Solve 2*b = 3*i + p, -5*b - 8 = -b for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10514 = 21*i + 2891. Let n = i + -337. Calculate the highest common divisor of 624 and n.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -d**7\/42 + 110*d**4\/3 + 6541*d**3\/6 + 1626*d. Find the second derivative of b(j) wrt j.\nAnswer: -20*j**3 + 880","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -479720*y + 4797126. Give j(10).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -21, 4, 29?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(-2\/5)*f*(f*(f\/f**(2\/7))\/f*f)\/f assuming f is positive.\nAnswer: f**(81\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n**2 + 7*n + 1. Let o(r) = r**2 + 3*r + 1. Let f = -19 - -14. Give f*o(x) + 2*g(x).\nAnswer: x**2 - x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of 2*y**4\/3 - 10*y**3\/3 + 16*y**2 + 16*y. Calculate n(3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -750563, -1503319, -2256073, -3008825, -3761575, -4514323, -5267069?\nAnswer: -6019813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x**3 - 6*x**3 - 36*x**3.\nAnswer: -48*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + (0 - (-2 - 2)). Suppose -5*g + 23 = -2. Suppose -t - 17 = -g*w. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 2 - (-1 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.14 (b) -40 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -8*v**5\/5 - 62*v**4\/5 - 72*v**3\/5 + 86*v**2\/5 + 16*v - 24\/5 = 0?\nAnswer: -6, -2, -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*l + 8*l**2 - 27 + 14 + 4*l**3 - 19.\nAnswer: 4*(l - 2)*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -931 - -1170. Calculate the remainder when m is divided by 123.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -77462.7096 to the nearest 1000.\nAnswer: -77000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-198)\/55*90\/(-36).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-48)\/21 - -2) + (-1020)\/(-140) + -6 and 935.\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 - 19. Suppose 9*k = c*k - 15. Suppose -r - k = -5. Put 4, r, -2 in descending order.\nAnswer: 4, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 1 = a. Let s be (92\/10 - -2) + a\/(-5). Suppose -20 = -s*y + y. Let k(i) = i - 1. Determine k(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -181.31 and -10443821.\nAnswer: -10444002.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -45 + 15684277\nAnswer: 15684232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35 + -28. Suppose n*w + 6 = 4*w. Let s be 3\/(12\/(-22))*w. Solve -3*f - s = -4*k, -3*k + 12 = -3*f + 2*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = -10*s + 130. Let z = 29 - 26. Which is greater: z or s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17136990 to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**14)*q**(-2))\/(q\/(q\/q**(-8))*q\/(q*q**2)) assuming q is positive.\nAnswer: q**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*c**6 - 25677*c**4 - c**3 - 181*c**2 + 577*c + 1.\nAnswer: -360*c**3 - 616248*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 1700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - 1007?\nAnswer: -1004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*c - 54*c + 1320 = 0 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 929.8739 rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + 0*r + 2*r)*(-287 - 1020 - 1985 - 559).\nAnswer: 7702*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.5, 5, 289?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a**4 - 4*a**2 - 2*a**4 + 3*a**2 + (0*a**2 - 3*a**4 + 0*a**2)*(-1 + 6 - 7).\nAnswer: 8*a**4 - a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of 1\/3*u**3 + 0*u + 1 + 1\/2*u**2. What is the remainder when 17 is divided by m(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(210)\/sqrt(216) + sqrt(1715)*2)\/(-4*(sqrt(45)*5 - 1*sqrt(20))).\nAnswer: -85*sqrt(7)\/312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3801, -7659, -11517?\n\"Answer: -3858*x + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -16. Let b be -9 - -16 - 1*h. Differentiate -3 + 36*y - 36*y + 4*y**b - 3 wrt y.\nAnswer: 16*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + sqrt(175)*3*-3 + sqrt(175))**2.\nAnswer: 2400*sqrt(7) + 67350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 6. Suppose 3 - 9 = -i*k. Suppose -k*l + 7 = -19. List the prime factors of l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 0.253582?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 142316528521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 21\/40 + (-6)\/15. What is the biggest value in l, -5\/6, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 20 + 52. Let q(z) = 2*z - 9. Let l be q(6). Suppose -l*o + 3 = -v. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -183 (base 11) to base 15\nAnswer: -e2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of i**4 - 5163*i**3 + 25301 wrt i.\nAnswer: 4*i**3 - 15489*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*k - 61439 = 20*k. Is k > -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 433675 is divided by 228?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 459 - 459. Let g(s) = 5*s - 9. Let o be g(7). Suppose m - 22 = 2*m + 4*d, -o = 3*m + 4*d. Which is the closest to x? (a) m (b) -2\/11 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u - 1. Let p be k(5). Suppose -2*b + 10 = -p. Suppose -108 = -2*o - b*l + 3*l, o + 5*l = 63. What is the highest common divisor of o and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggg when four letters picked without replacement from {n: 1, g: 11}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-6)\/(j*j**0))\/(j**(-1\/3))**14 assuming j is positive.\nAnswer: j**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 13535785 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4490751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 336 and 17976.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 325 divide 46433278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1.6*0.5\nAnswer: 0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33.6 - -34. Let l = 8 + 13. Let z = l - 24. Sort z, j, 1\/5 in decreasing order.\nAnswer: j, 1\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40878?\nAnswer: 2, 3, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2345\/14*(-12694)\/(-55) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of w**2 + 2273399*w + 44751203 wrt w?\nAnswer: 2*w + 2273399","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/13 - 4844*i**2\/13 - 38624*i\/13.\nAnswer: -2*i*(i + 8)*(i + 2414)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -45 - -3. Let a = -43 - b. What is the second biggest value in 2, -0.5, 5, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 9*s - 15. Let f(m) = -11*m + 14. Let u(y) = -58*y + 73. Let v(a) = -11*f(a) + 2*u(a). What is -4*c(k) + 7*v(k)?\nAnswer: -k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*x**2 + 4*x**2 + 0*x**2)*(-2*x - 3*x + 9*x)*(20443 - 20443 - 124*x) in the form p*x**3 + h*x**4 + b*x + s*x**2 + a and give h.\nAnswer: -992","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 599*(-7)\/9 - -4. Let n = 461 + a. Which is smaller: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-7\/4))**(-1) assuming h is positive.\nAnswer: h**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = s + 4. Let x be (s - -5)\/(1\/5). Suppose 0 = -10*c + 112 - 32. What is the third biggest value in -0.5, c, 4\/3, x?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 68 and 58?\nAnswer: 1972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 0.4 (c) 2\/3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 7:14 AM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 309 - 535. Let q = 222 + h. Which is the closest to 1\/2? (a) q (b) -0.4 (c) 1\/2 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2*sqrt(125) + -4) + -3 + 2)**2.\nAnswer: -780*sqrt(5) + 4669","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 379649686 - 379649686 - 15*n.\nAnswer: -15*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -20*s**2 - 176*s - 288. Calculate f(-7).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50\/7*h**2 - 16\/7 - 204\/7*h = 0. What is h?\nAnswer: -4, -2\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o - 1. Suppose 0 = -k + 4*k - 3*v + 12, 14 = -5*k - v. Let h(p) = -6*p + 14. Let u(d) = k*a(d) - h(d). What is the units digit of u(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 7*n - 8. Let t(r) = -3*r + 3. Let m(f) = 3*q(f) + 8*t(f). Let v(g) = g. Give v(m(c)).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhjz when four letters picked without replacement from zozhjjhhhzhhgjjh?\nAnswer: 3\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 74e6b1 (base 16) in base 15?\nAnswer: a14edd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6665 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -9*l**3 - l**2 - l - 1. Let c be t(-1). Suppose -2*g + 4*g = 12. Suppose -n = 2*a - g*a + c, n + 2 = -2*a. Solve -p + 2*p + a = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16b82 (base 13) to base 5.\nAnswer: -2344313","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -242373, -242435, -242495, -242553, -242609, -242663, -242715?\nAnswer: -242765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -442520 (base 6) in base 16?\nAnswer: -9030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 5*n - 7, 3*n - 2 = 2*x + 3*x. Let f = 35 - 65. Let l be (4\/f)\/(-2)*3. Which is greater: x or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14443940 rounded to the nearest 100000?\nAnswer: 14400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/3*(-45)\/10. Suppose s*u - 5*u = 0, 5*c - 55 = 5*u. Suppose 6000000 = -6*n + c*n. Round n to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8319 (base 11) to base 14\nAnswer: -403d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*h + 7*h**4 - 35*h**3 + 35*h**3 wrt h.\nAnswer: 84*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 11, 66, 159, 290, 459, 666, 911?\n\"Answer: 19*o**2 - 2*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 194333 - 194336 - 1231*c - 1410*c to k*c + x and give k.\nAnswer: -2641","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - bb?\nAnswer: -b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v - v - v)*(2*v - 3*v + 3*v) - 15 + 3*v**2 + 15 + (-7*v - v + 5*v)*(2*v - 3*v + 2*v + 3)*(-2 + 1 + 0).\nAnswer: -4*v**2 + 9*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-5) - 94\/5. Let i = j - -27. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2781 divide 494742681?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1 - ((-5 - -5) + 2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*b + t + 2*t, 0 = -3*b + 2*t + 2. Suppose b = -0*y - 4*y + 8. Let f = 1549 - 1541. Solve 0*s - f = y*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1647 + -9?\nAnswer: 163b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**3 + 168*a**2 + 3*a - 228. Let p be f(84). Solve -3*x = 4*v + v - p, 0 = v - 5*x + 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 36 = 24. Calculate the lowest common multiple of o and 46.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 + -13. Let a = -134 + 140. Suppose a*m - o = 3. Solve 0 = -m*s + 4*f - 8, 3*f + f = 4*s + 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-19 - (-5 - 10))) + 8?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 3)*(-3*j**2 + 3*j**2 - 3*j**2)*(-95 - 142 + 86) - 5 - 2*j**2 + 6 - 4*j**2 to the form g + p*j**2 + o*j and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/(-54)*6\/(-40). Let y(b) be the third derivative of -1\/120*b**6 + 0 + 0*b**5 + 5*b**2 + 0*b**3 + p*b**4 + 0*b. What is n in y(n) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4*p. Let b(n) = -208*n + 2986. Give b(s(i)).\nAnswer: -832*i + 2986","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12011245, -12011257, -12011281, -12011323, -12011389, -12011485, -12011617?\nAnswer: -12011791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 - 8)*(-143*i**3 + 31*i**3 + 31*i**3)*(-4*i**2 + i**2 + 2*i**2).\nAnswer: -1134*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37806.\nAnswer: 2, 3, 6301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 2*z = 36, 4*d - 7*d + 5*z + 40 = 0. Let u(n) = 2*n**2 - 14*n - 51. Calculate the remainder when 11 is divided by u(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(5\/2)\/p*p*p*(p**(-1\/4)*p)\/p*p*p*((p*p**(-2\/7))\/p*p)\/p**(-7)*((p*p**(-1)*p)\/(p**(-2\/33)*p))\/(p\/p**(-2)*(p*p*p**1)\/p) assuming p is positive.\nAnswer: p**(7415\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -5*v**3 + v**2 - 4*v - 3. Let c = 1 + -6. Let s(l) = 6*l**3 - l**2 + 5*l + 4. Let t(f) = c*b(f) - 4*s(f). Suppose 0 = 3*q - 0 - 3. Determine t(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 - ((-873125)\/(-100))\/127?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/6500562 and 117\/14.\nAnswer: 45503934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 581*d**3 + d**2 - 3*d + 2. What is the units digit of i(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.181 + -4.36. Let z = 2902 - 2904.049. Let a = o - z. What is a rounded to 1 decimal place?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**2. Let b(p) = 2*p**2 - 22*p - 22. Let f be (-89 + 1)\/((-4)\/2). Let z(a) = -a - 1. Let k(l) = f*z(l) - 2*b(l). Give j(k(g)).\nAnswer: -32*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0016047 rounded to five dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m**3 + 58*m**2 + 6*m - 173. Give f(30).\nAnswer: -1793","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1907 divided by 8\nAnswer: -1907\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/18*-2*(-34)\/(680\/(-12)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129054.\nAnswer: 2, 3, 137, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 2*m - 4. Let w = m + 4. What is the derivative of 2 + w*y**4 - y**4 - 3*y**4 wrt y?\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(76)*1 - sqrt(76))*1 + 4*(sqrt(76) - (sqrt(76) - sqrt(76)*-1)))\/(-3*(sqrt(4) + (sqrt(16) - sqrt(4)) - sqrt(4)) + sqrt(64)*-4 + sqrt(4)).\nAnswer: 2*sqrt(19)\/9 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 72 - 25. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 69760409*q**3*w**4 + 14*q**3*w + 307*q**3 + 2520*q*w wrt w.\nAnswer: 837124908*q**3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 437*t*z**4 + 117*t + 3 wrt z?\nAnswer: 1748*t*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 103 - 104.21. Let u = z + 1.148. Round u to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -497*t**3 + 3*t**2 + 13*t + 5. Let u be m(-2). Suppose -29*f + u + 760 = 0. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7415*l**2 + 87754*l?\nAnswer: -14830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i - 14014 + 14038 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4240*f**2*y**3 + 8968*f**2*y**2 + f**2*y + 164*f*y**5 - 18*f*y**2 - 2 wrt y.\nAnswer: 25440*f**2 + 9840*f*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/6)\/(86\/(-903)). Which is the closest to 0.4? (a) h (b) -0.1 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4619546612?\nAnswer: 2, 17, 67934509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j - 11. Suppose -10 + 30 = 4*u. Let p be k(u). Let a be (-57)\/(-9) + 2\/p. Calculate the highest common divisor of a and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**3 - x**2 - 2*x. Let v(l) = -4*l + 2. Let z be 3\/(-12)*0 + 0. Let d be v(z). Let k be b(d). Solve k*f - 18 = 3*f - 3*g, 0 = 5*f - 4*g - 11 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 1\/2, 0.22, -2\/11, 4 in decreasing order.\nAnswer: 4, 1\/2, 0.22, -2\/11, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*u + 5*y + 81 - 7 = 0, 5 = u + y for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 418997\/21 + -19931. Let r = -144\/7 + k. Do r and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4040.241 + -44.841. Round u to the nearest one hundred.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 40*g**2 + 127*g + 184. Calculate the remainder when y(-10) is divided by 53.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-12\/13))**(-45))**(-39) assuming w is positive.\nAnswer: w**(-1620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -6f (base 16) to base 15\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3877*c - 21978 = 3811*c. What is the remainder when c is divided by (23 - 0) + 0 + 1?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + b + 1. Let t(s) = 2*s**2 + s + 14. Let h(q) = -3*m(q) + t(q). List the prime factors of h(3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 392 and 266.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63579?\nAnswer: 3, 21193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + g + 2, 2*t - 4*t + 5*g + 10 = 0. Which is bigger: t or -2\/53?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 2.1. Let y = 0.468 + -5.468. Put -0.2, o, 2, y in descending order.\nAnswer: 2, o, -0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 145204.2 decades?\nAnswer: 14520.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8285 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 273391.1mg in micrograms?\nAnswer: 273391100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 45754757669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 61863 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10096, -9976, -9856?\nAnswer: -9736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68191293?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3*d + 2. Suppose 0 = 2*n - r - 3*r + 20, 2*r - 10 = 4*n. Let j be v(n). Find f such that -1\/4*f**3 + 1\/4*f + 0 + 0*f**j = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 168776989\/3 or 56258997?\nAnswer: 56258997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1308*i = -1298*i - 12430. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 take away 83.440637?\nAnswer: -74.440637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 - (14 - (-30 + 16)) - 75.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1955 - 2010 = -5*l. Calculate the remainder when 66 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 573 - 366. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 26 = -l, -3*l - 5*i + 2*i = 90. Let g(h) = -16*h + 180. Let w be g(11). Put w, l, 1 in decreasing order.\nAnswer: w, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-21))**(2\/31)*d**(-29)*d**(-16)*d*d)**(18\/11) assuming d is positive.\nAnswer: d**(-2250\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*f**2 + 4 + 2*f**2 - 3*f**2 as j + g*f + a*f**2 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 1. Let o be 71*1*(58 + -57). Let u = 139\/2 - o. Which is the third biggest value? (a) -1\/3 (b) h (c) -5 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -36a04237 - -5?\nAnswer: -36a04232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 5:04 AM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 622 is divided by 33?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 3*l - 20, 2*l + 2*l - 36 = -o. Suppose -11*w + 30 = -l*w. Suppose b - 3*v = w, 5*b + v - 63 = -13. What is the highest common factor of b and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 20 + 4 = -2*v, 64 = 5*s - 3*v. Solve 5*m + 4 = -s for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2764080 by -125640.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 + (-48 - 24) - (-2 - 8)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -2 - (-3 + 3 + -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3*o + 68. Give v(11).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, b: 2}. Give prob of picking 4 n.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 10) to base 7\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8198976?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -56 - -166\/3. Let n = 1.926 + -198.726. Let y = 197 + n. Which is the closest to y? (a) -2\/11 (b) -2\/5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xzsti. Give prob of sequence zit.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2324 and 4294918?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-55)\/11*(2\/(-10) - 1). Solve -s*q + 0 = 18 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*i - 39 = -59*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -5*s + 392. Is 5 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xmqxjqjjmxjqmmxjqjmq. What is prob of picking 1 x and 1 m?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 49*(-18)\/(-21)*(5\/10)\/((-4)\/4)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of -j**2\/2 + 13*j - 1. Calculate the remainder when 18 - (2 - (-12)\/(-4)) is divided by g(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 7:31 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-24)\/(f\/f**17)*(f\/(f**(1\/5)*f))\/((((f**(1\/13)*f)\/f)\/f)\/f) assuming f is positive.\nAnswer: f**(-408\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-35)*10980\/549)\/(178\/(-7))?\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -9. Let v be ((-4)\/(-42))\/(10\/(-15)). Which is the fourth biggest value? (a) v (b) f (c) -4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32 + 35. Let k be 0 - -1 - (-4 + f). Let l be (-260000)\/(-39)*(-237)\/k. What is l rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1a74 - -48?\nAnswer: 1abc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is g in g**4 - 2012912*g**3 + 2012911*g**2 = 0?\nAnswer: 0, 1, 2012911","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 691144511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 48, 96, 144, 192, 240, 288?\n\"Answer: 48*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is be8 (base 15) in base 13?\nAnswer: 12c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 12 - 3 = 0. Suppose 0 = -2*g + v*g - 42. Is 14 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/10)\/((-5)\/25). Let k(y) = -11*y - 3. Let i(l) = 7*l - 10 + 13 + 3*l. Let p(g) = r*i(g) - 5*k(g). Find the first derivative of p(h) wrt h.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 12) in base 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1337702 and 56183484.\nAnswer: 56183484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*x - 5 = 15*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {t: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/25))**(-20)*x**8*(x\/(x*(x*x*x*(x\/x**(-2\/23))\/x)\/x*x))\/x assuming x is positive.\nAnswer: x**(634\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 321*j = 325*j - 12. Suppose 4*u = 3*k - 236, -243 = -j*k - 6*u + 3*u. Let r = 26 + -12. Calculate the remainder when k is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3 + sqrt(272) + sqrt(272) + 2)**2 + 4 + 3 + (-1*(sqrt(272) + -2))**2 + 2.\nAnswer: -48*sqrt(17) + 1377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**4 - 2*t**4 + 3*t**4 + (5*t**3 + 1 - 1 + 2 - 2 + 2*t**3 + (-2*t + 2*t - 2*t)*(181*t - 181*t - 33*t**2))*(-3*t + 11*t + 0*t).\nAnswer: 582*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 6, 1070 in increasing order.\nAnswer: -2, 2, 6, 1070","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -30\/203 or -1?\nAnswer: -30\/203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 2:41 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1902854009?\nAnswer: 7, 19, 23, 622051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.06 - 29.94. Let u = -17 - r. Let h = u + -12. Which is the third smallest value? (a) h (b) 1\/2 (c) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from {h: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7811cc + 3?\nAnswer: -7811c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3189 + -3?\nAnswer: -3191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-78 - 16385928\/(-210210)) + 6\/105)\/((-12)\/14).\nAnswer: -2\/231","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -135.145 - -135. Let y = 0.255 - j. What is the second smallest value in -1, -5, 59, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5385079 is divided by 672997?\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29378, -58761, -88144, -117527, -146910?\nAnswer: -176293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.789 - -0.109. Let n = 0.58 + o. What is the nearest to n in -28, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -516b6 (base 13) in base 4?\nAnswer: -203223311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - -1. Let t(s) = s**2 - 4*s + 3. Let g = 14 - 9. Let k be t(g). Solve -1 - k = o*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, f: 3, n: 6, j: 2, t: 1}. Give prob of picking 1 h and 2 n.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(95)*-1)\/sqrt(5) - -5*1*sqrt(19)).\nAnswer: -3 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*v = -23*v - 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -311 - 52?\nAnswer: -363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007443717 rounded to six dps?\nAnswer: 0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 125) + (-334 - 66) + 443.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 15 = 0, -r + 3*z + 30 = -2*z. Calculate the remainder when (-5)\/(-25) + (-252)\/(-15) is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 345? (a) 2 (b) -0.4 (c) -0.1 (d) 0.5 (e) 13.41\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 - a9?\nAnswer: -b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 155 - 153. What is the tens digit of ((-8)\/(-4) - 6) + 82\/l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (44968\/(-440) - -103)\/(0 - -1 - (-55)\/(-25))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of -4*f**3\/3 + 11*f**2\/2 + 3*f. Let j(b) = -3*b + 4. Let l(x) = 11*j(x) - 4*v(x). Let o(i) = -i. Determine l(o(n)).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.35? (a) 0.2 (b) 2\/21 (c) 2\/5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 - -0.1. Let s = -15\/341 - -7\/31. What is the nearest to -4 in s, 1\/4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/15*27\/(-45). Let q = c - 83\/100. Let x = 12 - 14. What is the second biggest value in x, 1\/4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 300?\nAnswer: 1\/100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1096*w - 1122*w - 53 = -183 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7855778?\nAnswer: 2, 7, 19, 4219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**3 - 140*f**2 - 10673*f + 170. What is n(116)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - i**2 + i + 10. Let s(z) = 2*z**3 - 2*z**2 + 7*z + 58. What is -5*g(y) + s(y)?\nAnswer: -3*y**3 + 3*y**2 + 2*y + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 971103?\nAnswer: 3, 7, 131, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -6*b - 42. Let l be a(-7). Let s be 4\/(-10) - 452\/(-5). Suppose l = -4*k + 102 + s. Is k a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - -1. What is the third derivative of -a**n + 6*a**5 + 10*a**2 - 4*a**2 wrt a?\nAnswer: 300*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 11. Let q = 5.16 - 0.16. What is the nearest to -2 in -3, r, q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -h + 9, -5*t - h + 700 = 0. Calculate the remainder when t is divided by 37.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 1:00 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 - 39 = -z. Suppose -b = -4*o - 17, 0 = 2*o - z + 5. Suppose j - 7 = -y - 3*y, -j = 5. Solve 3*f = 2*x - b, 2*x - 3*x + 12 = -y*f for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/((-10)\/(-36)) - 2. What is the common denominator of 131\/6 and ((-12)\/d)\/((-4)\/(-90))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -247, 0, 2, -1 in decreasing order.\nAnswer: 2, 0, -1, -247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/104 and -47\/76102.\nAnswer: 304408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + -3. Let y = d - -11. Suppose 3*k = y*k + 1. Are k and -2\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -42 - (-2 - 2)\/(-4). Let d = -23 - p. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) -0.03 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 20013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/403291887 or 0?\nAnswer: 2\/403291887","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 410, 3281, 11074, 26249, 51266, 88585, 140666?\nAnswer: 209969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -c - 12, 4*c = -0*s - 2*s + 24. Let x be 16\/(-3)*(-9)\/c. Calculate the remainder when 2 is divided by (2 + x\/(-9))*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7110.379 to the nearest ten.\nAnswer: -7110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*u + 2822 = 2975 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1458)*-2 + sqrt(18) + 0 + 3 + sqrt(18) - (2*(sqrt(198) - (sqrt(198) + 2*sqrt(198) + sqrt(198))))\/(sqrt(176) - (sqrt(176)*-2 - sqrt(176))).\nAnswer: -375*sqrt(2)\/8 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8.066 + 0.414. What is x rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**4\/3 + 2*h**3 - 4*h**2\/3.\nAnswer: -2*h**2*(h - 2)*(h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of 5\/6*s**3 - 9\/2*s**2 + 0 + 3*s. What are the prime factors of d(6)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3587 is divided by 1791?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/(sqrt(50)\/(sqrt(15)\/sqrt(3))).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -7*h**3\/3 + 5*h**2\/2 - 34*h. Let c be t(-7). Suppose 108*a = c*a + 135. Does 2 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 334*p + 639*p - 311*p = 97, 32 = -4*a - p for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 18a?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1, 30, 79, 148, 237, 346?\n\"Answer: 10*v**2 - v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -102. Let b(d) = -2*d + 68. Let t(h) = 3*b(h) + 2*j(h). Let f(c) = c + 63. Give t(f(w)).\nAnswer: -6*w - 378","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(-2 + 13) + 0. Suppose 0 = -z - 3*z + 56. Solve 0 = 5*t + z + u for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 5:28 PM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 43*g**2 - 93*g + 172. Let o be y(45). Solve o - 1 = -12*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 277 + 213 = 49*b. Suppose 2*k + 79 = w, 88 = -9*w + b*w + k. Calculate the greatest common factor of 5 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -105*v**3 - v - 1. Let d be o(-1). Suppose d = 2*j + 5*j. Solve -2*x = x + j for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 6:40 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r - 1. Let t be y(-3). Suppose 0 = -5*p + 5*h + 15, 0 = -2*p - t*p + h + 12. Let i be (-4)\/6 - (-20)\/p. Solve g + 2*d = -i, 2*g - d = -2 - 5 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/20 + 150\/8. Let t(h) = -h**3 + 13*h**2 + 3*h - 4. Let o be t(13). Let l = f + o. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24432198 and 63168?\nAnswer: 1974","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 482020, 482054, 482108, 482182, 482276, 482390?\nAnswer: 482524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 + ((5 - 4) + -2 - -4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**2 - 1332*b + 21833. Determine q(16).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.77121 millennia in years?\nAnswer: 22771.21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 4*i - 350 = -17, 6*i - 442 = -122*c + 126*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 31*n**2 - 9*n + 50. Let i be t(30). What is the greatest common divisor of i and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 3*k + 21, -k + 0 = 3. Suppose -3*q - z*m = -44, 0*q + 23 = q + 3*m. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 23. Let y(p) = -p**3 + 8*p**2 - 13*p + 14. Let m be y(5). Let d = k + m. Solve 8 = d*c - 7 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8397 + 3747122 = -216*q + 115703. Is q greater than -16849?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 738 = -13*x + 49*x - 1638. Solve 61*m - 50*m = -x for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14763181.\nAnswer: 157, 94033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*c**4 - 6*c**3 + 23*c**2 + 12102*c?\nAnswer: 144*c**2 - 36*c + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -y**5\/30 + 7*y**2. Let k(x) = -5*x**2. Give c(k(i)).\nAnswer: -50*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*z - 48 + 98 - 47)*(-20*z**2 + 5*z**2 - 9*z**2) as q*z + w*z**3 + m + y*z**2 and give y.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 82\/17 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3 + 5 = 0. Let d be y + -1 + (31 - -6). Let h = -27 + d. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 305, 233, 117, -43, -247?\n\"Answer: -22*s**2 - 6*s + 333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 at least as big as 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 369009119 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence assa when four letters picked without replacement from {s: 2, a: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 8:02 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 u, and 1 h when three letters picked without replacement from {v: 3, n: 2, p: 2, h: 1, u: 3, f: 2}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Round -2980 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -4*z. Let f(u) = -3*u**2 - 17*u - 3. Let j(m) = -m**2 - 6*m - 1. Let x(y) = 6*f(y) - 17*j(y). Give x(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -41*f**2 + 249*f - 4. Let y be g(6). Suppose y*l + 96726618 + 627073382 = 0. Round l to the nearest one million.\nAnswer: -52000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**3 + 3*b**2 - 2*b + 2. Let a(y) = y**3 + 4*y**2 - y + 1. Let c(s) = -3*a(s) + 2*t(s). Suppose -6*x - 145 = -37. Let r = -12 - x. Determine c(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4*y - 26 + 8 = 0, -4*k - 9 = y. Let q(w) be the second derivative of 2*w**3 - 1346*w + 1. Calculate q(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**3*d**(1\/7)\/d*(d**(1\/4))**(5\/11)*(((d**1\/d*d)\/d*d)\/d*d**1)\/(d**0\/(d**(3\/4)\/d*d)) assuming d is positive.\nAnswer: d**(617\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 113*a**2 - 1868*a - 740. Calculate k(-93).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1819625, 1819626, 1819627?\nAnswer: 1819628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13345770943\/42 - 317773387. Let u = -16939 - r. What is the common denominator of -65\/4 and u?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/17? (a) -68 (b) 2\/13 (c) 29 (d) 10 (e) 1\/3 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -11) + (22 - 31 - -64).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 5 = 5*p, u + 3*u - 3*p - 25 = 0. Sort -0.01, u, -1.\nAnswer: -1, -0.01, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, q: 7, m: 1}. Give prob of picking 1 e and 1 q.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11740307 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*q - 39 = -28*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-32)\/d*((((d*d**6)\/d)\/d)\/d)\/d*d*d*d**15\/(d*d**10*d) assuming d is positive.\nAnswer: d**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 284 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 193369975?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.455 and 0.5.\nAnswer: 0.2275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x**3 + 6*x**2 - 6*x - 4. Let g(y) = y**2 - y - 1. Let k be ((-9)\/(-18))\/(4\/120). Suppose 354 = 44*h + k*h. Determine h*g(w) - l(w).\nAnswer: -3*w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 235*h**2 - 186*h + 13. List the prime factors of y(-11).\nAnswer: 2, 79, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2333 - -33?\nAnswer: -2300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -29083\/11 (b) 2\/15 (c) 7\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2544 and 1117452.\nAnswer: 4469808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 19257242 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2612 - -3218. Is i even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 472 = 4*y - v, -3*y + 484 = y + 2*v. What is the highest common factor of 561 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33396*c**3*h + c**3 + 19211*c**2 wrt h.\nAnswer: 33396*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(2\/45)*p*p)**(-2\/11)*(p*p\/(p*p**(3\/8)*p))\/p**(-32) assuming p is positive.\nAnswer: p**(123043\/3960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i = -2789430 - 1977277. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sl when two letters picked without replacement from xxxxxlxxlsllsxsx?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.08, 0.3, -4, -0.2, 61, 1, -7.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2903*y**2 - 2634*y**2 + 5536*y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44289 is divided by 5502?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 65*a**2 + 10*a**2 - 9*a**2 + (5*a - 4*a - 2*a)*(4*a + 5 - 5) - a**2 + 0*a**2 - 3*a**2 to the form n*a**2 + o*a + l and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -2 (b) 258800.3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -j**4\/12 - 2*j**3\/3 + 2*j**2. Let w be q(-5). Solve w*u = u - 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from byhulll. Give prob of picking 1 l, 1 b, 1 y, and 1 h.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5.935236 weeks?\nAnswer: 59827.17888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 1\/6, -0.5, 0.02?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -336 = 15*d + 33*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 7:24 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -60 + 18 + 19 - p + 13. Give o(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -0.03 (c) 2\/11 (d) 0.3 (e) 14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9, 7\/8, 4, -1\/5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s**2 - 1. Let y be -6 - -6 - (2 + -1). Let o be t(y). Sort -6, o, -1 in decreasing order.\nAnswer: o, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/2, -5, 1, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198 = n + 3*k - 7*k, 766 = 4*n - 3*k. Is 189 at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 37945, 38114, 38283, 38452, 38621?\n\"Answer: 169*r + 37776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 11 = 4*p. Differentiate 3*x**2 + 5*x**2 - p*x**2 - 8 with respect to x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -105*s**2 + 503 - 208 + 120*s**2 as d*s**2 + v*s + r and give d.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 75, 311, 705, 1257, 1967, 2835?\n\"Answer: 79*w**2 - w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -150*c + 1090. Let f be a(0). Which is bigger: f or 1089?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*n**3*x**2 - 3*n**3 - 2791*n**2 - n*x**3 + 6*x**3 wrt x?\nAnswer: 14*n**3*x - 3*n*x**2 + 18*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/99)\/(-8*4\/(-192)).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a + 7. What is the tens digit of r(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (75\/((-2925)\/(-156)))\/(10\/8)*(-10)\/2\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13194 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: b\"What is the ith term of 1019, 1983, 3595, 5861, 8787, 12379?\n\"Answer: i**3 + 318*i**2 + 3*i + 697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29415 is divided by 14196?\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.22 - 1.9. Let u = s + -0.31998. Round u to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/(-6) - (6 - 102\/18). Put -5, -1, m, 5 in decreasing order.\nAnswer: 5, -1, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40562 + 24370 = 1546*x for x.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.098 + -10.802. Let r = k - -11. Which is greater: 0.15 or r?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 300362 or 300379?\nAnswer: 300362","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 6:53 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 284757528.\nAnswer: 2, 3, 11, 98057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/23 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/(-3) + 8\/(-24). What is the hundreds digit of (-76)\/f*-14*(-3)\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 44216253?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 (base 5) in base 3?\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 540 = 3*f. Suppose n - f = -2*n. Let a(i) = -123 + 63 + n + 15*i. Let h(b) = b**2. Determine a(h(q)).\nAnswer: 15*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 91459921?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*g - 13 - 39 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (135*k + 62*k - 47*k)*(1 + 7 - 3)*(-3*k**3 - 3*k**3 + 4*k**3) as g*k + l + v*k**4 + z*k**2 + c*k**3 and give v.\nAnswer: -1500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1439.08482 - 1439. What is i rounded to 3 dps?\nAnswer: 0.085","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -72 + 72. Suppose c = 15*o - 18*o + 357. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 4*g + 52, 3*g - 43 = -3*u + 38. Let l = u - 19. Calculate the remainder when 24 is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2361*a**3*i - 359*a**2*i - 3284*i + 235 with respect to a.\nAnswer: 7083*a**2*i - 718*a*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 4 + 3)*(-7*n + 2*n + 3*n) + 3*n - 2*n + n + (29 + 17 - 2)*(9*n - 9 - 3*n - 4*n) to s + v*n and give v.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3875 = 6*h - 3869. Which is smaller: h or 2\/3431?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121882.9 less than -540?\nAnswer: 121342.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 2\/11, -2, 31876976?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -3 (b) -5 (c) -0.17 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 311788, 311588, 311386, 311182, 310976?\n\"Answer: -c**2 - 197*c + 311986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 41603 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4666988 and 7404.\nAnswer: 2468","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -b9538b8?\nAnswer: -b9538bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (2 - 38 - 2) - (-78 + 71).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*j + 49*j + 38 = -x, -4*x - 44 = 3*j. Let i(p) = p**2 + 14*p + 36. Give i(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - -5*sqrt(57)\/sqrt(3) - (0 + sqrt(19) + sqrt(19))*1)*1 - -3*((-3*sqrt(475) - sqrt(19)) + (sqrt(228)*-3)\/sqrt(12)).\nAnswer: -53*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w**(1\/3)\/w)\/w*w)**(-5\/7)*((w*w**(-5\/3))\/w)\/(w\/w**(-2\/27)) assuming w is positive.\nAnswer: w**(-563\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 13 - 7 = -2*m, y + 2*m = 11. Is (-7 + 10)*71\/y 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 ((-1751090)\/154 + 4 + (-30)\/7)\/(-1)?\nAnswer: 83, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 55042*m - 110090. Give a(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1\/(m*m**(1\/14)))\/(m**(-15)*m*m**(13\/2)) assuming m is positive.\nAnswer: m**(52\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 441 by 332904.\nAnswer: 147\/110968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1544*w + 10*w + 5790 + 19074 = 0 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 5*a**2 - 6*a - 7. Suppose -9*z + 5*z + 120 = 0. Suppose z = -9*r - 15. What is the common denominator of o(r) and -62\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = 3*g + 6, 0 = 3*g + 8*m - 7*m + 15 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a milligram in micrograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 4 = 2*s, 15 = -2*u - 3*s + 4. Let r be (1 + 0)*0\/6. Put r, u, -2 in decreasing order.\nAnswer: u, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 j, and 2 d when four letters picked without replacement from {w: 5, f: 1, g: 5, z: 1, d: 2, j: 1}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-1)\/7*(-315)\/27)*(-340)\/(-24).\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 824861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 442*g + 448*g - 186*g - 14080 for g.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5451943.\nAnswer: 7, 23, 33863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 4*s - 3. Let m(j) = j. Calculate -15*m(r) + 3*z(r).\nAnswer: -3*r - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13302043 + -201?\nAnswer: 13301442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -2765*p**2\/2 - 2. Let v be l(-2). What is v rounded to the nearest 100?\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5163602 and 11.\nAnswer: 56799622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n + 36. Suppose 2*k - 3*v = 17, 4*k - 2*v - 24 = 6. Let r be g(k). Suppose -8 = -2*p, -2*o - p = -o - r. Is o a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -289*b**3 - 111*b**3 - 4*b**2 - b**2 + 3*b**2.\nAnswer: -400*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/((-10)\/12 + 1). Let b be (-3)\/(9\/(-4))*45\/5. Let a be 30\/(-34) + b\/(-102) + 3. Solve -5*u + 3*u + a = 0, 2*u = -4*v + z for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 8:10 PM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of 4\/9*o**2 - 2\/9*o**4 + 2\/9*o**3 - 30 + 2\/45*o**5 - 8\/9*o. Factor d(f).\nAnswer: 2*(f - 2)**2*(f - 1)*(f + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/(-10))\/(1\/(-5)). Suppose -101 = -p*x - 4*o, -4*o + 17 = x - 30. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2559344 is divided by 2559226?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3.871 or -2990?\nAnswer: -2990","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -111954 and 295.\nAnswer: -33026430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 3, -2, -14\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ze when two letters picked without replacement from oorooyyoozyore?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -57086 + 410*k**3 + 114167 + 3*k**2 - 57084 + (0 + 0 - 1)*(k**3 + 0*k**3 + k**3).\nAnswer: 408*k**3 + 3*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17.1 + -2.9. Let h = 14 - q. Which is the second smallest value? (a) -1.3 (b) 4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-4 + 8 + 4 + -2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -35. Let k = i - -36. Calculate the remainder when 13 is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x + 3. Let q be p(0). Let j be q\/9*3 - -2. Suppose -4*n = j*z - 67, z - 81 = 2*n - 7*n. Does 8 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, 2, 3 in increasing order.\nAnswer: 2, 3, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1208, 1207, 1206, 1205?\nAnswer: 1204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of 19*g**5\/12 - 7*g**4\/24 + 7*g**3\/6 + g**2. What is the units digit of n(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -m**6\/360 - 7*m**5\/60 - 13*m**4\/24 + 2*m**3\/3 - 2. Let q(o) be the third derivative of y(o). Is q(-10) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 807089.4 litres in millilitres?\nAnswer: 807089400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39\/(-13)*(-5)\/(-2)*366\/305.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 11 = -w, x = 5*w - 89 + 87 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168103787.\nAnswer: 168103787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*z - a + 5*a, -2*a - 24 = -4*z. Suppose 3*v - z*h = 40, -5*v + 3*h + 40 = -0*v. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 4*j = 3*o - 637, 2*o = -4*j + 438. Let i = o - 1077\/5. Let z be (2\/4)\/(1\/(-6)). Sort i, 1\/3, -9, z in increasing order.\nAnswer: -9, z, i, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64547 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 - -40?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9281*i - 4 + 9244*i + 3.\nAnswer: -37*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 66 = -5*u + 2*z, 4*u = 3*z + 42. Let o be (-21)\/u - -2 - 1. Which is smaller: o or 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1084565?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 9*y**2 + 9*y + 10. Let d be c(10). Let g(x) be the first derivative of 4*x**2 + 4 - 8*x - 3*x**2 + 0*x**2 + d. Differentiate g(n) wrt n.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 289846068?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lglllglggglglllll. What is prob of sequence lgl?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 + 4*w - 4*w)*(1 + 1 - 1)*(15 + 13 - 12)*(2*w**3 - 4 + 4) + 5*w**5 + 3*w**5 - 4*w**5.\nAnswer: 68*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 862.\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**2 + 167*g + 170. Give l(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aama when four letters picked without replacement from mmaaaam.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that y**3\/2 + 6*y**2 + 35*y\/2 + 12 = 0.\nAnswer: -8, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 65.62*2\nAnswer: 131.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 8:14 AM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/310 and 43\/765.\nAnswer: 47430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 314 divided by -5\nAnswer: -314\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) 7\/5 (c) -1\/5 (d) -22\/7 (e) 2\/321\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/7 + 37*f**2\/7 - 260*f\/7 + 32.\nAnswer: -(f - 28)*(f - 8)*(f - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 62615?\nAnswer: -62614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -77*h**5 - 3*h**4 + 10*h**3 - 197*h - 36.\nAnswer: -1540*h**3 - 36*h**2 + 60*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -79eff + -37?\nAnswer: -79f36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 4*c + 16 = 13*z, 0 = -4*z - 5*c + 16. Suppose z*o - 3688 = -3*n - n, n = -2*o + 1839. What is the hundreds digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 times -153.02\nAnswer: -7.651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10323 and 2301.\nAnswer: 23753223","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -373, -1514, -3415, -6076, -9497, -13678, -18619?\n\"Answer: -380*k**2 - k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 61 + -63. Let d be -3 - (-3)\/((-3)\/a) - 0. Let b be (10000\/(d + 3))\/(4\/(-2080)). Round b to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 29139536, 29139537, 29139538, 29139539, 29139540?\n\"Answer: j + 29139535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*c + 9 + 11. Suppose k + 4*q - 3 = 1, 20 = 5*k - c*q. Suppose -h + 3 = 0, k*i + 2*h = 5*h + 407. Does 29 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t + 8*t - 2*t = -18*t. Factor 0*s + 3*s**4 + 0*s**2 + 0 + 3\/2*s**5 + t*s**3.\nAnswer: 3*s**4*(s + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -25*v - 10. Let z be p(-4). Let q = -88 + z. What is the third derivative of 15*t**q + 21*t**5 + 27*t**5 - 2*t**2 + 20*t**2 wrt t?\nAnswer: 2880*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 4*n - 22, 22*k - 21*k + 3*n = 14. Sort 5, k, -1, 176 in increasing order.\nAnswer: -1, k, 5, 176","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170029 is divided by 477.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or -85\/12?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 28*n**2 + 4*n - 635. Determine d(-27).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/9 and 11\/230.\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)*-3*-3)\/sqrt(2).\nAnswer: 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/27 of a day in seconds?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.4, -8, 94, 0.05?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 3*i + 2*i - 80, 0 = -3*h. Suppose -4*g + 12 = -i. Let x(w) = w**3 - 4*w**2 - 4*w - 1. Calculate the least common multiple of x(5) and g.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1272048440 to the nearest integer?\nAnswer: 1084","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 5*f - 290, 5*g + 4*f = 3*g - 254. Sort -2, 2, g in increasing order.\nAnswer: g, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 1635825*w. Let m(k) = -9*k**2. Give m(o(b)).\nAnswer: -24083310875625*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(sqrt(12)*-2*2) + -3.\nAnswer: -3 - sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12317b (base 13) in base 11?\nAnswer: 278037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f**2 - f - 2. Let x(h) = h - 12*h**2 - 13*h**2 + 32*h**2 - 4*h - 3. Calculate -2*x(r) + 5*z(r).\nAnswer: r**2 + r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 408533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.6 - 1.6. Let y = k - 8.1. Let v = -12 + 9. Sort -0.3, y, v in increasing order.\nAnswer: v, -0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47 + 52. Let a = 3.5 - 4. Let f = -0.3 - a. Sort 3\/8, f, u in ascending order.\nAnswer: f, 3\/8, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20811*l + 45154*l + 24832*l.\nAnswer: 49175*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -9. Suppose -4*n = j*o - 3*n - 48, 0 = 3*o - 4*n - 72. Calculate the remainder when o is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 201275052*c**2*d**2 - 2*c*d**2 + 47*c*d - c + 7*d**2 + 2*d - 37 wrt c?\nAnswer: 402550104*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.4365 decades to millennia.\nAnswer: 0.714365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -52022\/5 + 10400. Which is the second smallest value? (a) 2 (b) v (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + t = 2*t - 15, 10 = -2*t. Suppose 10*l - 60 = -q*l. Solve -6 + 2 = -l*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (j**2 - j**2 + 3 - 2*j**3 - j**2)*(-535 + 1519 + 2068) as b*j**2 + r*j**3 + f + n*j and give b.\nAnswer: -3052","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 32797181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (x + 3 - 3)*(5*x + x - 5*x) + (5*x - x + 4*x)*(2*x - 5*x + 5*x) as a*x + h*x**2 + r and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqz when three letters picked without replacement from {r: 3, q: 4, z: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**2 + 6*t. Let m be z(-4). Suppose w - 34 = 3*k, -5*w = -0*w - 4*k - 192. What is the greatest common divisor of w and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-8)*1)\/((44\/(-20))\/(-11)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 498377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -134 - 85*w**2 + 68 + 66 to the form x*w**2 + l + i*w and give x.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 148 - 143. Calculate the remainder when y is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23\/7 + -1255\/154. Calculate the common denominator of 5\/1396 and z.\nAnswer: 15356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 365 = -23*s - f, 84*f = -4*s + 89*f - 79 for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 5*u = 25, -8*r = -12*r - u - 5. Let t = 0.1 + -0.2. Is r >= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 28*q**2 - 33*q + 83. What are the prime factors of a(19)?\nAnswer: 5, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eneeeeeneeen. What is prob of sequence nenn?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 9 (c) 1\/3 (d) 1\/4 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -11*n**2 - 122*n + 48. Give d(-13).\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q - 3 + 4 + 4 + 3*q - 3*q - 4*q + (0*q + 2*q - q)*(1 - 2 + 3) - 3 + 3 + 2*q + 2*q - 3*q - q - 5*q + 3*q + 3*q as d*q + a and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = 3*p - 2*t, -p + 12 = -t + 30. Is -21 != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 25, 43, 57, 67, 73?\n\"Answer: -2*p**2 + 24*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/(-15)*(-2 - -8). Suppose 0 = 5*c + d*n - 137, -85 = c - 4*c - 4*n. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 times 59528\nAnswer: 595280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15 - (-1 + -1))*-5. What is the highest common divisor of 13 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j + 576*j**3 + 3*j + 0*j.\nAnswer: 576*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 155.709 rounded to zero dps?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5 = -52. Suppose -3*c - 2*j + z + 67 = 0, -2*j = c - 30. What is the lowest common multiple of c and 6?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/182 and 145\/21588?\nAnswer: 280644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 2*i - 3*i**2)*(-15*i - 37*i + 2*i + i).\nAnswer: 147*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 8, -12*x + 548 = j - 15*x. What is the hundreds digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y - 4. Let s be c(0). Let n(i) = i**3 + 6*i**2 + 3*i - 5. Let h be n(s). Solve 0*o + 5*o - h = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25532 + 25536. What is the nearest to 9\/11 in 2\/7, r, 2, -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*k - 117*k - 68*k = -4752 + 1190 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1668.1 + -1740. Let y = 73 + l. Which is greater: y or -7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, x: 11}. What is prob of picking 2 z and 2 x?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 19*n - 9. Let v(b) = 49*b - 17. Give -5*d(t) + 2*v(t).\nAnswer: 3*t + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(4\/5)*s**(-1\/13)*s*s**(-1\/4)*s*s**(-4\/5)*s assuming s is positive.\nAnswer: s**(139\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 + 0.5. Let u(z) = 3*z + 4. Let q be u(-3). Let m be (0\/2 + 1)*q. What is the nearest to -0.1 in 2, w, m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(-3)\/6*58. Does 15 divide (-1)\/(-1) - (i + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -5*y**5 + 1075*y**4 - 31985*y**3 + 219645*y**2 + 63990*y - 2736720 = 0.\nAnswer: -3, 6, 7, 24, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 130 + -213. Let t = 95 + z. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6\/31 - 143\/62. Let r = 26 - 49. Let k = -23.08 - r. What is the biggest value in y, 1, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20395 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/(((-20)\/(-515))\/2).\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5049 and 132.\nAnswer: 20196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (6\/1)\/(48\/32)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1264 and 60514.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 69606 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n - 1806 = -6534. Let l = n - 420. Is l a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79975.22 millilitres to litres.\nAnswer: 79.97522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) -20 (b) 3 (c) -2\/5 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 17300352, 17300353, 17300354, 17300355?\n\"Answer: u + 17300351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 1:01 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j + 13. Let v be q(4). Suppose -1 = -v*t + 4, 0 = -3*p - 3*t + 120. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144 - 148 = 5*k - 322 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 755539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 41, -3\/4, -4, 2462?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 110524164 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of 1303*u**9\/504 - 119*u**5\/20 + u**4\/12 + 5*u**2 - 163. What is the third derivative of i(d) wrt d?\nAnswer: 156360*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 71*m - 69*m - 16. Let p be (-3 - 23\/(-8)) + 65\/m. Suppose p*i - 1846 - 554 = 0. Is 50 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -24*n**2 - 53*n**2 + 69*n**2. Let q(g) = -9*g + 1. What is p(q(u))?\nAnswer: -648*u**2 + 144*u - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14.3 + 10.3. Let d = 24.1 - 8.8. Let g = -15 + d. Put n, g, -5 in ascending order.\nAnswer: -5, n, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -0*x + x, 3200*h - 11 = 3197*h + 11*x for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 10 (b) -83 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a + 4*a - 2*a**4 - 1 - 2*a**2 - 4 + 2 in the form r*a**2 + s + p*a**3 + f*a**4 + b*a and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/469, 554\/79, 0.3 in decreasing order.\nAnswer: 554\/79, 0.3, -2\/469","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 89 = -46. Is o a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 28565700 to the nearest one hundred thousand.\nAnswer: 28600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/114342 and 31\/133399?\nAnswer: 800394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 132\/113?\nAnswer: 132\/113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6733, -13464, -20195?\nAnswer: -26926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/15 in 0.5, 1, 50.2, -1\/5, -0.1544?\nAnswer: -0.1544","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((4 + sqrt(432))*3 - (2 + 3*sqrt(432))))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -21*w**2. Let z(d) = -305*d - 52. Let s(m) = 204*m + 36. Let p(n) = -13*s(n) - 9*z(n). Determine p(k(u)).\nAnswer: -1953*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.769 to the nearest integer.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28576599 - 3*s**2 - 28576599.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 29 - 27 = 0. Suppose -20 + 10 = -b*a. Solve -1 - 24 = a*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12 and 0.00340525?\nAnswer: -0.040863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 67*n**2 - 18*n. Let x(i) = 68*i**2 - 19*i. Let k(o) = -4*t(o) + 3*x(o). What is the second derivative of k(c) wrt c?\nAnswer: -128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84.66 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5398458, 10796909, 16195346, 21593763, 26992154?\nAnswer: 32390513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of 2*h**5\/35 - 25*h**4\/14 - 485. Factor u(b).\nAnswer: 2*b**3*(b - 25)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10\/19 + 108\/133. Suppose 0*t - 3 = -3*t. Which is the closest to t? (a) 0.3 (b) y (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r - 9. Let a be y(-2). Let z(t) = 10*t - 7. Let n(v) = 5*v - 4. Calculate a*n(d) + 4*z(d).\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7 + -7 - (-3)\/1. Suppose -4*b - v = -7*b. Let t be b\/(-2)*(-90 + -2). Calculate the highest common factor of 115 and t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 561698471.\nAnswer: 101, 5561371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(1 + 1*sqrt(128)))**2 - ((sqrt(128) - (-6*sqrt(128) + sqrt(128)) - sqrt(128)) + sqrt(128) + sqrt(128) + -2)*-3) + -1.\nAnswer: 424*sqrt(2) + 2057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -2*t + 2*h + 6, 4*t = -2*h + 22. What is the remainder when 23 is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 3261*j + 22805. Determine o(-7).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 405 is divided by 22.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3081*q - 24 = -3089*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r + 5339 - 5343 + 9*r.\nAnswer: 5*r - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-56)\/(-70))\/(2\/(-10))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**5\/17 - 42*t**4\/17 - 240*t**3\/17 - 200*t**2\/17 = 0. Calculate t.\nAnswer: -10, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2*r + 12 = -8, 2*r - 12 = -3*o. Suppose -o*d + 167 = -37. List the prime factors of d.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 41, 107, 183, 275, 389, 531?\n\"Answer: h**3 - h**2 + 62*h - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 556936 is divided by 630.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -254821*i**2 - 978*i**3 + 254821*i**2 + (-i**2 - 4*i + 4*i)*(2 - 2 + 2*i) + 3*i**3 + 5*i**3 - 4*i**3 to r*i**2 + p*i**3 + c + l*i and give p.\nAnswer: -976","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of 11*d**4\/6 - d**3\/3 - d**2\/2 - 3*d. Let t be n(-1). Let h = 25 + t. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31113202030 (base 4) to base 10.\nAnswer: 3504268","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 631*s - 5834. Let o be i(20). What is the greatest common factor of 468 and o?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -44 + 8. Let q(p) = 11*p + 5. Let z be q(u). Suppose z = 5*g + 21. What is the highest common factor of g and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.05346519 + -0.0534. Round h to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3 - 0.39. Let x = a + 0.19. Is x > -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3*k - 4. Let x be m(-4). Suppose -3*t + x*t = 0. Suppose -v + 14 = 5*w, 5*v + 1 = -4. Solve w*r - 6 + 0 = t, 31 = -5*o + 3*r for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/307, -2\/9, 2\/11, -1\/2, 2 in increasing order.\nAnswer: -1\/2, -2\/9, 1\/307, 2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, c: 3, z: 1, s: 6, f: 5, x: 1}. Give prob of picking 1 z and 1 f.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1885406 + 1885624.00143. Let r = 218 - w. What is r rounded to 4 decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 11 = -7. Suppose -8 = 4*a, -l - m*a + 20 = -a. Calculate the remainder when 36 is divided by (l\/84 - (-22)\/(-28))*-20.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 566 - -46. Let c = r + -583. Calculate the remainder when 226 is divided by c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37 + 46. Suppose 3*l + 3*k - 186 = 0, 7*l = 4*l + 5*k + 202. Let i = -30 + l. What is the remainder when i is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3\/27997 - 1231445\/3947577. Let n be 51\/17 - (14417\/564 + -1). Let z = y - n. Calculate the common denominator of 23\/7 and z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 2*t**2 - t + 2. Suppose -4*k + 5 = -3. Let m be d(k). Suppose m = 5*v - 0*v + 5. Put -4, 0, v in decreasing order.\nAnswer: 0, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k - 3*k**2 + 1\/2*k**4 + 0 - 5\/2*k**3 = 0 for k.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n - 1. Let q be f(3). Suppose 8 - 2 = 2*h. What is the third derivative of -14*l**q + l**3 - 9*l**h + 18*l**3 wrt l?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -80, -115, -150, -185?\n\"Answer: -35*d - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 23665398?\nAnswer: 23665398","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51233, -51217, -51199, -51179?\nAnswer: -51157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((7\/35)\/1)\/(-1)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l**2 + 4*l - 1. Let s(v) = v**2 + v - 1. Let g(j) = -3*a(j) + 12*s(j). What is the remainder when 31 is divided by g(3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-1)*(11\/(-2) + -2). Let a be 9\/o - (-2760003)\/5. What is a rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*r**2 - 71 - 4*r**2 + 6*r**2 to u*r**2 + j*r + k and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of 4*u**5\/5 + 5*u**4 + 4*u**3 - 18*u**2 - 973. Factor n(g).\nAnswer: 4*g*(g - 1)*(g + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 4734 and 4718 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(19)*3 + sqrt(19))**2 + sqrt(19))*4.\nAnswer: 132*sqrt(19) + 1280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 6 + c - 5*c + c. Is n(-14) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 244?\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -111 - -114. Let y(o) = -6*o + 17. Let s be y(b). Let c be s - 1 - (-824)\/414. Is c >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - o + 5. Let j be l(0). Let c be (-3 + j)*-1 - -23. Let s be 2 - 1*-61*1. What is the highest common factor of c and s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 135 and 0.52?\nAnswer: 134.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*w = -700679 + 699587 for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8806791 years in centuries?\nAnswer: 0.008806791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -984*l + 15738. Let s be h(16). Put -150, s, -3 in decreasing order.\nAnswer: -3, s, -150","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 311 + f**3 + 310 + 7*f**3 - 621.\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 44 = 5*i. Let u(j) = j**2 - 3*j + 3. Let t(q) = q. Let o(c) = 2*t(c) + u(c). Calculate the remainder when i is divided by o(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(-3) + (2 - 2). Let m be -26*(1 + u + 24). What is m rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8075 + -503?\nAnswer: -8578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, v: 13}. What is prob of picking 2 v and 2 g?\nAnswer: 195\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 5:44 PM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6424, -7602, -8780, -9958?\n\"Answer: -1178*m - 5246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1905\/115652 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1159806 (base 10) in base 14?\nAnswer: 222954","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, k: 1, x: 1, h: 10}. Give prob of picking 2 h and 1 x.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1743 greater than or equal to -1748?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 9:43 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -4*l - 4. Determine i(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -320 + 1927\/6. Which is smaller: n or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 92 and 5543?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000100010010111111 - -101100011?\nAnswer: 1000100011000100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 16*r**2 - 16*r + 18. Let t be z(15). Let h(d) = 3*d - 10 - 2*d + 7*d**3 - 6*d**t - 5. Give h(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -10244128?\nAnswer: -10244130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 + 25. Let z(b) = 2*b**2 + 4*b**3 - 3*b**r + 44 - 49 - 2*b**2 - 2*b. Let m(p) = -p**3 + p**2 + 1. Suppose 0 = 4*j - 28 + 8. Give j*m(k) + z(k).\nAnswer: -k**3 + 2*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1134068 divided by -283517?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 0, 2\/3.\nAnswer: -16, 0, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11625 and 0.017.\nAnswer: 197.625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -125324*g**2 + 375976*g - 8. Give m(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -263 = -6*n + 223. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 3*f - b + 7, 2*f - b = -8 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 1:38 PM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/16)*g*g**(-24\/7)*(g**(-7))**(2\/193) assuming g is positive.\nAnswer: g**(-55415\/21616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does -14 = -8339?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + 13*x + 3. Let j be t(-13). Suppose -j*w - w = 4*v - 20, v = -4*w + 5. Solve w*o - 6 = -3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 43 (c) 2\/9 (d) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 7:55 PM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 5:59 AM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3765, 13826, 30595, 54072?\nAnswer: 84257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - u + 1. Let l(f) = -59*f + 29*f - 2*f**3 + 31*f - 1. Suppose -1 = -4*b + k, 6 - 26 = 4*k. Determine b*l(i) - v(i).\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 13 - -1 - (-26 + 34)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4041814707 to the power of 1\/5, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*w + 48*w = -48*w. Solve -27*n + 16*n + 33 = w for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6034 divide 98150795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 454 (b) 12 (c) 3 (d) 0.888 (e) 3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -6*r**2 + 74. Let o(y) = 2862*y - 5. Determine o(t(q)).\nAnswer: -17172*q**2 + 211783","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/m**(-1\/15))\/m**(4\/21)*(m\/(m*m*m\/(m**4\/m*m)*m*m))**(3\/7) assuming m is positive.\nAnswer: m**(197\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m + 3*m - 4*m + (m + 6*m - 5*m)*(68 - 26 + 40).\nAnswer: 167*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1128 and 3966?\nAnswer: 745608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.3 and 202.\nAnswer: -868.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 - -76448.7?\nAnswer: 76712.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -23. Let x = 29 + b. List the prime factors of x.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of 7*f**3\/2 - 106*f. Let q(h) = -22*h. Calculate 6*q(u) + 7*t(u).\nAnswer: 15*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40020 and 117160.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14354, -28977, -43602, -58229, -72858, -87489?\nAnswer: -102122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -228*f**4 - 57*f**3 - 91*f**2 - 4268*f - 295 wrt f.\nAnswer: -2736*f**2 - 342*f - 182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/(-4))\/((-4)\/8). Suppose -b*j + 48 = j. Suppose -19 = -4*n - 7. Solve 0 - j = n*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -1288 - 8212. Let s be 2\/(-10) - y\/(-125). What are the prime factors of 18\/15*s\/6*9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**2\/4 + 245*y\/4 = 0.\nAnswer: 0, 245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 101185 divided by 245.\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u - 4. Let s(n) = 4*n + 1. Let d(o) = -2*o - 1. Let m(c) = -11*d(c) - 6*s(c). Determine -6*f(v) - 5*m(v).\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25.34 - 0.66. Let s = a - -13. Let v = s + 13.0000006. What is v rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 178*o**2 + 2069*o - 1962. Determine p(-189).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 387*c + 4. Let g(h) = 128*h + 1. Determine 14*g(i) - 4*z(i).\nAnswer: 244*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 114\/15 - 4\/(-10). Let r = -2 + 5. Suppose 2*p + x = r*p. Is p a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7193157 (base 10) to base 9.\nAnswer: -14473136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25002 and 202392?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, p: 7, b: 3}. What is prob of picking 1 p, 2 n, and 1 b?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9734295 to the power of 1\/3, to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/5 + 4068*y**2\/5 + 16296*y\/5 + 16304\/5.\nAnswer: -2*(y - 2038)*(y + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -149372872 by -4.\nAnswer: 37343218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10019407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.76 - 28780358043\nAnswer: -28780358042.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 11 = -1. Let t(c) = c**3 + c. Let p be t(0). Suppose p*y = -s*y + 1080. Round y to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -369 + 365 = 4*u - 4*q, 7*q + 9 = 5*u + 22 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-49)\/5 + (-1)\/5. Let b = g + 14. Suppose b*l - 155 = -l. Does 17 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 305552*d - 297 = 305547*d + 23*c, 0 = -3*d + 4*c + 139 for d.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.605 + -9.605. Let p be (8\/40)\/((-8)\/10). Is z < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -19*i - 21. Let r(q) = -18*q - 21. Let p(x) = -3*o(x) + 4*r(x). Let z be p(-6). Let h = z - 61. Solve -3*k + h*k = 10 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/sqrt(5))**2 + (sqrt(11) - (sqrt(11)*-1 + sqrt(11) + 2)).\nAnswer: sqrt(11) + 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 5*p**2 - 6*p + 2. Suppose s + 5*l - 21 = 8, 54 = 3*s + 4*l. Suppose 0 = 2*n - s + 2. What is d(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 274*r + 5*r**3 - 7 - 2*r**3 + 7.\nAnswer: 3*r**3 + 274*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + -3. Let z be 8\/6 - 4\/s. Let r be 3 - (3 + -1 - z). Solve r*d = 4*h - 4, -d - d = 4*h + 12 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**3 + 30*v**2 - 20*v - 120.\nAnswer: 5*(v - 2)*(v + 2)*(v + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-129)\/688)\/(((-15)\/(-20))\/((-2)\/(-4)))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5346*z**3 + 2*z**2 + 82*z + 22 wrt z?\nAnswer: -32076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.208 in 4, -0.02, 1\/2, 3.8?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 909 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -6, -2\/9, 0, 12?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 12*t**2 - 685*t + 8911. Determine z(37).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7936 divided by 6.\nAnswer: -3968\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17309199.\nAnswer: 3, 1669, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*i + 7 = 3*i, -4*d + 5*i - 8 = 0. Suppose -2*x - 461 = -d*x. Suppose 4*a - 3*c = x, -4*a + 3*c = -c - 456. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s**3 + 59*s**2 + 20*s + 2. Let x be z(20). Solve x*m - 3*f - 5 = 10, -2*f = 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 821912841 to the nearest integer?\nAnswer: 937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 times 15.25?\nAnswer: -518.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2 - 35*h + 66.\nAnswer: (h - 33)*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 7:57 PM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**3 + 93*a**2 - 864*a - 78. Determine u(31).\nAnswer: 2929","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*q - 5*q = -572070. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -130.03 - -2.03. Let w = 129.18 + k. Let o = w + -1.18146. What is o rounded to four decimal places?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of f**6\/270 - f**5\/45 + f**4\/18 + 5*f**3\/3 + 121*f**2. Let y(p) be the first derivative of s(p). Factor y(j).\nAnswer: 4*(j - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (10 + 4) - 11?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 9, z: 11}. What is prob of sequence xz?\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1345958715, -1345958717, -1345958719, -1345958721, -1345958723?\nAnswer: -1345958725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 340 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011111000110101100100 (base 2) in base 8?\nAnswer: -13706544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 4:36 PM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279 is divided by 71.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**4 + 22*z**3 - 38*z**2 - 18*z + 52. Let s(m) = m**4 - 21*m**3 + 39*m**2 + 19*m - 54. Let b(x) = 2*s(x) + 3*y(x). Solve b(n) = 0 for n.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 6*k**2 - 2*k - 15. Let f be a(5). Suppose -5*m + 2722 + 1948 = f. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 4*w + 12, -1 - 1 = b. Let j be 3 + (38\/13)\/w. Suppose 27*i - i = 26. Which is bigger: i or j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.505 to zero decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, o: 5, i: 6, e: 3, a: 2}. Give prob of picking 1 i and 1 o.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h - 4. Let k be v(-3). Let a(x) = 8*x**3 - x**2 - x - 1. Let c be a(k). Suppose -q + 4*u = -19, 3*q - 3*u = 7*q - c. Is 15 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1031685 is divided by 103162?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (8 + -16) - 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 199666 - 15839. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -g**6\/36 + g**5\/30 + 17*g**4\/24 - 17*g**3\/18 - 4*g**2\/3 + 8*g\/3 - 2504. Find d such that a(d) = 0.\nAnswer: -4, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - x + 15 - 1, 0 = 4*n - 5*x + 13. Suppose 5*o + 2 = -n. Which is greater: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n - 24, -27934*n + 27937*n + 138 = 20*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*d + 3*d - 7*d + 22*d.\nAnswer: 29*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most 3\/127352?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -435759 less than -435250?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 2)*(4*l - 4*l - 2*l)*(-6*l**4 + l**4 + 4*l**4).\nAnswer: -2*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/44370866 and 42\/8371.\nAnswer: 488079526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13.38443 * 2.\nAnswer: 26.76886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4.071855*-1\nAnswer: 4.071855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/24 and -31\/108.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72, 5, -2, 35, -5, 4, -6 in decreasing order.\nAnswer: 72, 35, 5, 4, -2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 325079 is divided by 18759.\nAnswer: 6176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((441\/(-14))\/(-7))\/(3\/2))\/((-21)\/147)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -72*f - 453. Let w(c) = -72*c - 457. Let x(n) = -5*g(n) + 4*w(n). Find the first derivative of x(l) wrt l.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 19*k**2 - k - 3. Let d(t) = 56*t**2 - 3*t - 8. What is 4*d(j) - 11*n(j)?\nAnswer: 15*j**2 - j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x - 333. Let t(b) = b**2 + 64. What is i(t(o))?\nAnswer: 2*o**2 - 205","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1833845, -3667738, -5501631, -7335524, -9169417, -11003310?\n\"Answer: -1833893*m + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72 + 259384*k**3 + 259393*k**3 - 117 + 189 - 518776*k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1698, 6449, 14238, 25059, 38906, 55773?\n\"Answer: -l**3 + 1525*l**2 + 183*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x - 9. Let p be q(-8). Suppose 0 = 2*r + 3 - p. Differentiate 6*g**2 + 2*g**2 - r*g**2 - 5 with respect to g.\nAnswer: 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -24*x. Let k(r) = 419*r - 5 - 397*r + 5. Calculate g(k(v)).\nAnswer: -528*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0878469 to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + v + 5)*(4 + 5 - 7 - v + v**2).\nAnswer: v**3 - v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 7589, 3, 2 in descending order.\nAnswer: 7589, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -0.3 (b) -5 (c) -19 (d) 0 (e) -4803 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4466862, -4466860, -4466858, -4466856?\nAnswer: -4466854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 950209?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26*a**2 + 180*a - 5851 with respect to a.\nAnswer: -52*a + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -892304550 divided by -115\nAnswer: 7759170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 12 = 2*i, 3 - 6 = h + 3*i for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -4*z - 1 - 11, 9 = -3*z + 4*j for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 44. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -2. Let v = -0.094 - 0.006. Let p(y) = -10*y - 53. Let o be p(-5). Which is the nearest to v? (a) -2\/9 (b) o (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 226892 * -1.1\nAnswer: -249581.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.398, 0.5, -1, 2.\nAnswer: -1, 0.398, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1\/5010?\nAnswer: 1\/5010","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2909142 divided by 2.\nAnswer: -1454571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1014, 2030, 3046, 4062, 5078?\nAnswer: 6094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 550, 837, 1124, 1411?\n\"Answer: 287*l + 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1178 (b) 58 (c) 3 (d) -4 (e) 3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-836)\/6)\/(10\/(-18)). Let q = -252 + n. Let k = 4 + -3. Which is the closest to k? (a) q (b) -3 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**9\/p)\/p*p*p*p**3*p)\/(p**17\/(p*p**(2\/51)*p)) assuming p is positive.\nAnswer: p**(-100\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 63302720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29298116.\nAnswer: 2, 937, 7817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a milligram in micrograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 20 - 52. Let o = -11 + v. Is 13 a factor of (o\/(-2))\/((-4)\/24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) -4\/5 (b) 526 (c) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-208032)\/(-21670)*10\/2448.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.552 and -0.6.\nAnswer: -1.152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -33*w**2 - 279*w - 1009. Determine b(-7).\nAnswer: -673","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 38. Calculate the remainder when q is divided by 4*((-12)\/(-4) + -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(343) + sqrt(343) + 2)*-1 + (-1 + sqrt(343))*-2)*-5)**2.\nAnswer: 137200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 4*q - 6. Let j be k(5). Suppose 2*d - j = -w, 0*w + 38 = 4*w + 2*d. Suppose -x = -5*x + w. Solve -c = -x*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -737103, -1474198, -2211293, -2948388, -3685483?\n\"Answer: -737095*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.13 - 0.83. Sort -2, a, -2\/5, -3\/8, 2\/7.\nAnswer: -2, -2\/5, -3\/8, 2\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142*v + 11*v**2 - 13*v**2 + 92*v.\nAnswer: -2*v**2 + 234*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 10416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11.3 - -11.25. Let i = h + 0.05. Let p = 2 - 4. Put i, -2\/5, p in ascending order.\nAnswer: p, -2\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3693 - 139*x**2 - 3691 - x + 11078 - 3692 as v*x**2 + q*x + a and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s**2 + 5*s - 14. Let n = 4749 - 4747. Give u(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 858 is divided by 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 divided by -3?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -1\/12*x**4 + 0*x**3 + 5*x + 0 + x**2 + 1\/20*x**5. Calculate a(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 8*t**2 + 11*t - 8. Let s(i) = 3*i**2 + 4*i - 3. Let f(h) = 11*s(h) - 4*x(h). What is f(-4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 163.0305ng to kilograms.\nAnswer: 0.0000000001630305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 11*m**2 + 6*m - 70. What is b(11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(12\/10) + -2)*6. Suppose -38 = 3*n + t*d + 190, -n = 2*d + 77. Let q be ((-4)\/(-10))\/((-24)\/n). Is q >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10cc5 - 5?\nAnswer: 10cc0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, 3, 24, 63, 126, 219?\nAnswer: 348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 769 times 0.05?\nAnswer: 38.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -796902 or -796901?\nAnswer: -796901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 139039?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 380619 and 3504438?\nAnswer: 3429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 3*c = -2*c - 611, a = -4*c - 150. Let g = a - -221. Suppose b - 4 = o + 7, 2*o = 5*b - g. What is the remainder when 44 is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2, -7, 0.21?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27) - sqrt(243)*-6)\/(sqrt(81)\/(1*sqrt(9))) + -4)**2*3.\nAnswer: -456*sqrt(3) + 3297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41477394 is divided by 601?\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.65 - 5.08. Round p to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-54)\/(-15))\/((-33)\/55). What is the closest to -67 in 0.3, 0.2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, 0.19, -10\/13, 4, 2\/15?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 5*u. Let l(p) be the first derivative of p**2 - 15. Let k(m) = -8*m**2 + 8*m. Let c(d) = -k(d) + 4*l(d). What is c(j(q))?\nAnswer: 200*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - 1)*0\/(-2)*1. Suppose s = 2*i + 3*b - 10696 - 22555, -5*b - 15 = 0. What is i rounded to the nearest 1000?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 211210?\nAnswer: 211221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by 12063.\nAnswer: -8\/4021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2432 = -35953*l + 35889*l for l.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 9*x**2 + 9*x + 1. Let v be c(8). Let f(j) = -j**2 + 10*j - 7. Let b be f(v). Let t = 1 + b. Solve -4*n - 1 = d, t*n - 35 = 5*d - 7 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 389 and -0.2.\nAnswer: 388.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1410?\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 3*t + t + 21, 2*t + 13 = -3*z. Let i = 2 + t. Let k = 6 - i. Solve 0 = -4*f + 15 - k for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*k = -4*z + 56, k + 56 = 5*z. Is (8\/z)\/(2\/483) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, -64, -211, -420, -691, -1024, -1419?\nAnswer: -1876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 2*j - 5, 2*j - 5*r + 5 - 4 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 355643.\nAnswer: 355643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76*0.01.\nAnswer: -0.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86738602?\nAnswer: 2, 67, 647303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 1 = -2*r. Let w be 2 - (-3 + r + 3). Factor -2*s**2 + 3*s**4 + 9*s + 2*s**2 - 3 - 9*s**w - 3 + 3*s**2.\nAnswer: 3*(s - 2)*(s - 1)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 0*z - 2*z)*(-9 - 59 - 9) - 2*z - 4*z + 4*z + (0 + 0 + 2)*(-3*z - z + 3*z).\nAnswer: 73*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*d + 301 - 199 = 0 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + 2)\/(0 - 2). Put -253, -1, i in decreasing order.\nAnswer: i, -1, -253","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b**3 + 140*b - 6 + 381*b + 828*b**2 - 521*b in the form d*b**3 + s*b**2 + j*b + c and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -8 - 9*s + s**2 + 5*s - 2. What are the prime factors of u(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -157?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2189536?\nAnswer: 2, 53, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49306 divided by 2.\nAnswer: 24653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -11. Suppose 2*r = w - 58, 4*w - 64 = p*r - r. Let v be 676\/14 - (-8)\/r. What is the greatest common factor of v and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -4*n**2 - 11*n. Let y be h(-2). Let o = 5\/42 - 2\/7. What is the second smallest value in 1\/17, y, o, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 56\/197 - -18267\/1576. What is the common denominator of 2\/24*90\/(-4) and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i + 0*i - 3*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22518267?\nAnswer: 3, 7506089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16044864 and 20056080?\nAnswer: 80224320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and -2 + -1 - (-35 + 39) - -2573.\nAnswer: 12830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, -0.3, -0.1, -344?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**2 + 3*t**2 + 16 - 236*t - 2*t**2 - 12 - 3*t**2 to the form u*t + g*t**2 + p and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -72 - -77. Suppose -2*h - 4*n = -11 - 17, 0 = -5*h + p*n + 145. Is 6 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52 and 1144.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -334*n**2 + 1431. Let i(m) = 11*m. Give z(i(s)).\nAnswer: -40414*s**2 + 1431","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**2*l*v**2 - 83*g**2*l*v - g**2*v - 3805*l*v**2 + 3*v**4 + 12*v wrt v.\nAnswer: 2*g**2*l - 7610*l + 36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-22) + 204*812\/3696. Calculate the highest common factor of i and 13815.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 42323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -0.242?\nAnswer: 0.726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppqppcccq. Give prob of sequence cqcc.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1017942 less than 0.4?\nAnswer: -1017941.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-6)*w*w)\/(w**(-1\/2)*w)*(w*w**(-6))\/(w\/(w**5*w)))**23)**11 assuming w is positive.\nAnswer: w**(-1771\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29170 - -8170. Round b to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54d7a (base 16) in base 12?\nAnswer: 149136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -78 + (-157 - -250) - (-16 - -1).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 + -30. Let q = 33 - 18. Let m be (q\/(-6) - -1)*(-2)\/(-9). Sort f, 0.5, m.\nAnswer: m, 0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (132 - 132 - 33*v)*(2*v**2 - 4*v**2 + 6*v**2)*(-2*v**2 + v**2 - v**2).\nAnswer: 264*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -925333 less than or equal to -925334?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -45, -69, -97, -129?\nAnswer: -165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(3\/8)*b*b*b\/b**(5\/6)*(b**(-1\/2)\/b)**16)\/(b**0*b*b*b\/b**5*(b\/(((b**0\/b)\/b)\/b))\/b**5) assuming b is positive.\nAnswer: b**(-419\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 11*z**2 + z + 1. Does 12 divide b(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90153358501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-5) + (-102)\/30. What is the remainder when 10 is divided by ((-4)\/12)\/(m\/36)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 5*u + 96 = 61, -14 = -4*d - 3*u for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-195) + ((-1305)\/(-325))\/9?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*z**4\/3 - 86*z**3\/9 + 92*z**2\/9 - 8*z\/9.\nAnswer: z*(z - 2)**2*(21*z - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2.7*-0.5489004\nAnswer: 1.48203108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 945.1 + -945. What is the closest to l in 1, 3\/4, -5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -2*m + 18, 2*m - 935 = -5*d - 935 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11*-1 + ((-30)\/(-40))\/(2\/(560\/15))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-1) - 5 - (-3)\/42?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from piypgduu. What is prob of sequence pp?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 658 - 1060. Let y be (-6)\/(-4) + (t\/(-264) - 3). Which is bigger: y or -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.018553 to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 600640?\nAnswer: 2, 5, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -5. Suppose -l*j = -7*j + 20. Solve 8*z - j*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8, -20, -90, -220, -428, -732, -1150, -1700?\n\"Answer: -3*y**3 - 3*y**2 + 2*y + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 257 divide 25366965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1432537 and 85383.\nAnswer: 12892833","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6506*p = -10691*p - 439425 for p.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24526492 to the power of 1\/2, to the nearest integer?\nAnswer: 4952","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 19*m**2 + 8. Let o(q) = q**2 + 1. Let b(p) = i(p) + 5*o(p). Let r be b(-14). Solve -r = -4*l + 7 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252106691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ebbzezeie. What is prob of picking 2 b, 1 e, and 1 i?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a tonne in grams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/2 of a centimeter?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 o, and 1 t when three letters picked without replacement from kststttksokwk?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-23)\/((-4830)\/30))\/((-1)\/(-7)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.03 - -0.47. Let l = -0.5 + j. Which is the closest to 1? (a) 2\/7 (b) l (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 3*b + 2. Let c be -4 - ((-3)\/6 + 2\/(-4)). Let h be i(c). Solve 2*x + 1 + 4 = 3*m, 3*x = h*m - 10 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 134263926?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(((-6)\/(-9))\/(9\/(-27)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 8:53 PM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -73.\nAnswer: -3\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -4*f**4 - 37*f**3 + 1091*f**2 + 1. Let j(g) = -g**3 + g**2 + 1. Let s(m) = -j(m) + q(m). Find the third derivative of s(o) wrt o.\nAnswer: -96*o - 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 5)*(25*q + 6*q - 14*q)*(-3 + 3 + 2) + 48*q - 35*q - 37*q.\nAnswer: 44*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 + 69295*z + 623574.\nAnswer: (z + 9)*(z + 69286)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1544\/11805 + 2\/787. Let u(i) be the second derivative of -1\/5*i**2 - 2*i + 1\/10*i**4 + 0 + o*i**3. Suppose u(m) = 0. Calculate m.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 79 (b) 0.1 (c) 2\/199\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 3, d: 15}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 12*m - 21 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -11*k**2 - 30 + 16 + 10*k**2 + 11*k. Let z be n(9). Let r = -5 - -10. Calculate the greatest common factor of z and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*r - 3*l = -14*r - 7, -8 = -4*r - 2*l for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-4) + (-14)\/8. Suppose -24 = -2*k + 8*k. Sort 4, k, w.\nAnswer: k, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -855171 divided by 31673?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 26 = 46. Let i(m) = -2*m**3 + 17*m**2 + 4*m + 19. Let t be i(9). Let s = x - t. What is the least common multiple of 13 and s?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**2 + 2*u - 1. Let s be j(-2). Suppose -w - 17 = -5*n - 3, 2*w = s*n - 7. Suppose a - 50 - 81 = -3*b, -153 = -4*b + n*a. Is 21 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1138 divide 49149082?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/247?\nAnswer: 2\/247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 142 + -299. Let b = m - -156.9999929. Round b to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x - 118494 + 355442 - 118402 - 118546.\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 132 and 948?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 5. List the prime factors of 363\/21 - h\/(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2028 and 273.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g**3*l**3 - 12598*g**3*l - 76*g**3 - 23166*g*l**3 - 6*g*l**2 - 3*l**3 - 3*l**2 + 2*l wrt g.\nAnswer: 12*g*l**3 - 75588*g*l - 456*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -832 - 2107 = 20*j + 401. Is j not equal to -167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 205587947 to the power of 1\/2, to the nearest integer?\nAnswer: 14338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 57 or -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.91 + -0.9. Let p = o + 3.99. Let d(g) = -6*g**3 - g**2 - g - 1. Let j be d(-1). What is the nearest to -1 in p, j, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 130106176 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*r = 1501 - 2040 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffukkkkkukff. What is prob of sequence kuk?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(3)*-1*-2.\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t**2 + 83*t - 390. Let i be f(35). Which is the smallest value? (a) i (b) -3\/7 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*x**4 - 6*x + 11*x + 0*x + 0*x wrt x.\nAnswer: 204*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 a factor of 109714782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1814, -3623, -5432, -7241, -9050, -10859?\nAnswer: -12668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 690853.2l?\nAnswer: 690853200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 342\/(-99)*-4 - 14\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -888*j**3 + j**2 + 2*j. Is l(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2667 * -21.17\nAnswer: -56460.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 72 - -43?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + 4*t + 4*t**2 + (2*t - 2*t + t)*(t - 4*t + 2*t) - 3*t**2 + 2*t**2 - t**2 + 5*t**2 - 3*t + 3*t)*(t**3 - t**3 + t**3).\nAnswer: 6*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1631039348?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42 + 44. Solve f*k = 5*j + 10, 4*j + 3*k - 6 + 37 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-88)\/154 - (-25)\/7. Suppose -2*g + 36 = 3*c + g, 0 = c - r*g. What is the second derivative of 4*s**3 + 6*s - s**3 + c*s - 4*s wrt s?\nAnswer: 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in decades?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 6*i**2 - 2*i + 21. Calculate the remainder when 60 is divided by v(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -2\/9 (b) -0.3 (c) -3.54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j**2 - 25*j**2 - 40 - 46 - 43 + 129.\nAnswer: -21*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 30 = 3*i + i, -2*i + 115 = -5*c. Let q be (-13)\/(-5) + (-10)\/c. Let l = -0.5 + 0.3. Sort l, 7, q in ascending order.\nAnswer: l, q, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 142, 146, 152, 160, 170, 182?\nAnswer: 196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 547 - 534 = q, 3*q - 23 = 2*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 4 + 3 - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -1812*g - 204744. Determine r(-113).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4 - 0.29. Round x to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11313 - -45485\/4. Let f = t - 58. What is l in -f*l**2 + 0*l + 0 = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -266 (base 15) to base 4.\nAnswer: -20202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 3*y + 33. Let m = 38 + y. What is the remainder when 18 is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4335, -5, 2, 45 in decreasing order.\nAnswer: 45, 2, -5, -4335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16550513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 1347 - 187 = 0. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35\/16 - 1753\/48. Let v = r - -311\/9. Which is the closest to -0.2? (a) -1\/2 (b) 0.2 (c) v (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -5. Calculate the remainder when v is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -765, -599, -433?\n\"Answer: 166*d - 931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-5\/6)*z)\/z)**(24\/5)\/(z\/z**8)**(-1\/8) assuming z is positive.\nAnswer: z**(-39\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51318225 to the nearest integer?\nAnswer: 7164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.77 - -0.7. Let a = 0.14 + i. Let f = a + -3.07. What is the closest to 1\/5 in f, 5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-18)*2\/4. Let f = 26.934 + 0.066. Let x = f + -29. What is the smallest value in x, 1, j?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 12656349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**4 + 6*g**4 - 2*g**4 + (1 - 1 + 2*g**2)*(42 - 16*g**2 - 42) - g**4 + 3 - 3.\nAnswer: -30*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*f + q, 4*q - 28 = 3*f - 0*q. Let y = 22 + f. Solve -3*k - 3*g = y, 3*k + 2*g = -0*g - 13 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 271873\/(-155358)*4 + 7 + (-4 - -4). Do 1 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 - -30. Let x = -3.1 - -3. Let n be (-8)\/2*(-2)\/(-20). What is the nearest to x in a, n, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1278869 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = -c - 58. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4f41a (base 16) to base 13.\nAnswer: b49bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(704) + 1)**2 - (-4 + sqrt(11) + sqrt(88)\/sqrt(72)).\nAnswer: 92*sqrt(11)\/3 + 712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 a when four letters picked without replacement from {g: 2, a: 3, w: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*d - 64*d - w = -14, -4*d - 5*w = -28 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 144014166 to the nearest integer?\nAnswer: 12001","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4019 + 6952. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-98)\/(-28)*8\/2. Solve 0 = 5*y + c + 6 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53 + -56. Let n be 3*((-8)\/(-18))\/2. Which is the nearest to n? (a) 2 (b) 2\/11 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 + o + 4. Let l be i(-3). Let x = l + 7. What is the units digit of 4 - (-48 + (-4)\/x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -3*m**2 + 18*m\/5 + 24\/5 = 0.\nAnswer: -4\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 3. Let g be (-1)\/((-4)\/(0 + -2)). What is the nearest to 0.1 in n, 3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 1484*x - 35046. Determine n(24).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -4*j + 13, 2*j + 9 = 7*j + a. Suppose -6 = l + j*l. List the prime factors of 54\/4 - l\/4.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 4*y + 10. Let a be h(-2). Let k = -11 - -23. Suppose -k = -2*m + 3*g, -3*g = 4*m - 4*g - 24. Solve 2*f - a = m for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 227932 and 1.\nAnswer: 227932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**3 + 6*c**3 + 17 - 10*c**3 as d*c**2 + j*c + o*c**3 + s and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3813 and 3170658207?\nAnswer: 3813","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 = -a - 3*s + 245, -2*s + 1536 = 5*a. What is the greatest common factor of a and 399?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 128 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-3\/14)*s)\/(s**(2\/7)\/s)*s**(3\/11)\/s**(-9))**(-33) assuming s is positive.\nAnswer: s**(-711\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.381 - -0.081. Sort r, 0.5, -0.05 in decreasing order.\nAnswer: 0.5, -0.05, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9\/5 in 8, 1\/4, 0, 7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2703a2 (base 12) to base 9.\nAnswer: -1180475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of 2*w**3\/3 - 17*w**2 + 104*w - 1931. Find g such that r(g) = 0.\nAnswer: 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27167 by 7.\nAnswer: 3881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + o - 441. Let n be q(0). Is (2\/(-1) + n)\/(-2 - -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -0.012333219?\nAnswer: 0.0012333219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -111653622 or -111653621?\nAnswer: -111653622","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -3*c - 21, -25 = -40*t + 45*t - 5*c. Let j(n) = -n**2 + 4*n + 47. Give j(t).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 67.48755 micrometers?\nAnswer: 0.00000006748755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 649 + 244. Does 2 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - 4*o + 2*o)*(-o - 4 + 4)*(10 + 2 + 16).\nAnswer: 112*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40ebf1 (base 16) to base 6.\nAnswer: -231105413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 6.5. Let w = -35.82 - -41.4. Let m = w - -0.42. Sort l, -3\/4, m in decreasing order.\nAnswer: m, l, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1784083 rounded to the nearest 1000?\nAnswer: -1784000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 263 and 68.\nAnswer: 17884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of -b**4\/24 - b**3\/3 - 7*b**2 - 1. Let s(q) = 1. Give -3*s(u) - 2*t(u).\nAnswer: 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1102878761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3534, 7048, 10562, 14076, 17590?\n\"Answer: 3514*w + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((0 - -2) + 9\/(-5))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 11:17 AM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -5*z + 1. Suppose 1 + 10 = -2*l - 5*c, c = -3. Let d(g) = -6*g. Calculate l*a(y) - 3*d(y).\nAnswer: 8*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/92 and 2 - (-85)\/14*-1.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196*j**3 - 28392*j**2 - 149904*j - 194400 = 0 for j.\nAnswer: -18\/7, 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.7 * 105667.\nAnswer: -285300.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31.8 - 31.9. Which is the biggest value? (a) -8 (b) y (c) -2\/17 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 342 = -16*c, 5*c + 0*g + 405 = 2*c + 3*g + 477 for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**2)**(-16)\/(x**(1\/6)*x*x*x\/x**7))\/(x\/x**3*x**(-3\/8))**(-12\/17) assuming x is positive.\nAnswer: x**(-1522\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4a450d (base 16) in base 2?\nAnswer: 10010100100010100001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 137040.57 - 137617. Let n = 574 + k. Let x = n + 2.6. What is x rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + 4*t - 27. Let y be z(-8). Which is the biggest value? (a) 7 (b) y (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -111 - (67 + -29) - -99?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10480 + -10433. What is the remainder when 312 is divided by u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**3 - 188*y**2 + 427*y - 192. Let l(b) = -9*b. Let m(p) = 10*l(p) + 2*s(p). Factor m(d).\nAnswer: -4*(d - 1)**2*(d + 96)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5575, -11147, -16717, -22285?\nAnswer: -27851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sjcc when four letters picked without replacement from cwwcjjsxm?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9630395 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 4*c**2 + 2*c - 1. Let u be l(-2). Let s = u - 1. Solve s*z - 3 = -1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 317*j + 384. What are the prime factors of b(105)?\nAnswer: 2, 3, 13, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108813687 to the power of 1\/2, to the nearest integer?\nAnswer: 10431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 4*s + 3. Let m(o) = o. Let p be m(2). Let a be p\/(-3) - 8\/6. Let x(g) = -5*g - 4. Let f(u) = a*x(u) - 3*q(u). What is the derivative of f(h) wrt h?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2272784, 2272722, 2272624, 2272496, 2272344, 2272174, 2271992, 2271804?\n\"Answer: y**3 - 24*y**2 + 3*y + 2272804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -5\/6, -3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.5 rounded to zero decimal places?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 575495 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 16*c**2 + 26*c - 26. What is j(-12)?\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 4553211?\nAnswer: 4553205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00015824 to six decimal places.\nAnswer: 0.000158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 9 + (3 - 13)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (r - 2*r - r)*(0 - 10*r**3 - 411*r**2 - 1 + 413*r**2 + r) in the form j + b*r**2 + h*r**4 + w*r + t*r**3 and give h.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*g - 51 = -579 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 785.3634g to kilograms.\nAnswer: 0.7853634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m. Suppose 4*t - 4*r + 0*r - 32 = 0, t - 10 = -r. Let a = -3 + t. Let q(j) = 2*j + a - 8 + 2. Calculate b(q(n)).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 868 = 432*z - 370*z for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1112905 divided by 5.\nAnswer: 222581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46 + 49. Which is the second smallest value? (a) 0 (b) -0.05 (c) -3 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-28)\/(-4) - (0 + -1 - -1). Suppose l*w - 6 = 8. Let o(y) = -y**2 - y**w - 10*y**2 + 0*y**2. Let s(h) = 2*h**2. Give o(s(r)).\nAnswer: -48*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.12 + -5.12. Let x = 4 + r. Which is smaller: x or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*s**2 - 3*s**2 - 5*s**2)*(6 + 3 - 4)*(4483*s**2 - 2092*s**2 - 3079*s**2) as r*s**2 + g*s + i + h*s**4 + v*s**3 and give h.\nAnswer: 17200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**2 + 11*d**2 - 8 - 8*d**2 + (-1 + 1 - 3*d)*(-7*d + 19*d - 3*d) as x + s*d**2 + w*d and give s.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 1017*y**3 + 4*y**2 + 2*y + 6. Let x(n) = -5688081*n**3 - 22374*n**2 - 11187*n - 33561. Give -11187*i(m) - 2*x(m).\nAnswer: -1017*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-186*q + 5 + 185*q - 4 + 38*q**2)*(61*q - 3*q**2 - 61*q).\nAnswer: -114*q**4 + 3*q**3 - 3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 12*k**2 - 3*k - 43. Calculate l(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 817 (base 11) in base 5?\nAnswer: 12421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -19*z - 8. Let u(c) = -14*c - 5. Let g(b) = 5*h(b) - 8*u(b). Let i be (-1)\/2 + 5\/2. Let x(s) = 2*s - 2*s - i*s. Give g(x(w)).\nAnswer: -34*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 18912\/73031 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 39083 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 2*r**5 - 50*r**4 - 626*r**3 - 2470*r**2 - 4128*r - 2520 = 0.\nAnswer: -3, -2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 11. Let w = h - -13. Suppose w*b = b + 21. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 191\/2*s**2 + 189\/2 + 379\/2*s + 1\/2*s**3 = 0 for s.\nAnswer: -189, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (14*f**3 + 9*f - 2 - 15*f**3 + 4*f**3)*(2*f - 6*f + 3*f) as y*f + i*f**4 + q*f**2 + n + s*f**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.9 + 0.1. Let b be -2*12\/66*11. What is the closest to -1 in b, m, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3*v - 112. Calculate t(-23).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2265, 7902, 13539?\nAnswer: 19176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7034?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a. Let t(u) = 5*u**2 + 9*u - 9. Suppose -3 - 17 = 5*l. Let k(y) = -y + 6*y - y - 4 + y**2 + y**2. Let d(o) = l*t(o) + 9*k(o). Give f(d(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2430000 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 674\/20 + -18*(-2)\/120.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 16 + 51*v + 1 + 4. Let o(g) = 5*g + 2. Let t(w) = 21*o(w) - 2*r(w). Let y = 42 - 46. Give t(y).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 3, -20.\nAnswer: -20, -5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 5*k - 24 = 0, 5*z + 13 = 2*k - 0*k. Let x be -1 - -3 - (-2 - z). Suppose -2*a + 13 = x*w - 7, 0 = -3*w. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 18*f**2 - 16*f + 56. Let q(d) = 3*d**2 - 25*d + 13. Let m be q(7). List the prime factors of n(m).\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*c + 8*c - 4*c)*(4 - 3 + 1)*(3 + 4 - 4) in the form d + m*c and give m.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(2\/5))**(-44)*(c\/c**(3\/4))\/c*c**(1\/5)*c**(-4)*c*c*c*c**(-5)*(c\/c**(2\/5))**0 assuming c is positive.\nAnswer: c**(-659\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6360 and 4970?\nAnswer: 3160920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -6*z - 4*z**3 + 0*z**3 + 5*z**3 - 2*z**2 + 2. Let b be 20\/(-4)*(-6)\/15. Suppose b*x - v - 2 = v, 3*v + 7 = 4*x. Determine m(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 596235043 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 - 2*h - 3. Let j be m(-8). Let s = 151\/3 + j. Which is the nearest to s? (a) 2 (b) 3 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 246 and 850299.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 33 divided by -757462\nAnswer: -33\/757462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.1 in -1, -2, 108757?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-1 - (1 + 1) - (-134 - -111))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 51274104 divided by -30648?\nAnswer: -1673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 bigger than 96?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 12632?\nAnswer: 12632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2258 - -2260. Solve -9*j + 12*j - 3*a = 15, o*j = -2*a - 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 30. Let c be (26 - y\/(-5)) + (2 - -2). Solve 0 = m + w + 1, 4*w + w = 3*m + c for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + 4*g - 2. Let p(x) = 6*x**3 + 7*x**2 - 5*x - 1. Let y(c) = -c**2 + c. Let f(n) = g*p(n) - 5*y(n). Determine f(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 6:54 AM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/34)\/(((-24)\/6)\/(-8))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -64 - -217. What is the remainder when x is divided by 6\/(-33) - (-312)\/22?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1062 take away 42?\nAnswer: -42.1062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 190*b. Let p(n) = 6*n. Determine q(p(j)).\nAnswer: 1140*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/336)\/(-66*(-31)\/496)?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-290))\/((-51)\/(-1122)). Is f < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1725 and 10725.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -138.9 * 0.0034.\nAnswer: -0.47226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 379591 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: Work out 37683837 * 5.\nAnswer: 188419185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 91 - (-1 + 10 - (-288 + 323)).\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**2. Let y = -4 + 2. Let u(w) be the first derivative of w**3 - 90. What is y*v(m) - 2*u(m)?\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.041 (b) -2\/3 (c) 0.6 (d) -49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1354, 6145, 15334, 29905, 50842, 79129, 115750?\nAnswer: 161689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 0.5 (c) 103\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (3\/((-6)\/4))\/17\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(1 + -2)*-1. Suppose 2*s - 6 = -c*s. Suppose -10 = -0*k - 2*k. Sort s, k, -5 in decreasing order.\nAnswer: k, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2 - 56*p - 99.\nAnswer: -(p + 9)*(5*p + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 88\/5 of a microgram in nanograms?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -192639*(-28)\/84 - (2 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 11:26 PM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/14724193 and -13\/113118.\nAnswer: 88345158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.019173511 + 88515?\nAnswer: 88515.019173511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 3*z + 1. Let d(i) = i**3 - 5*i**2 - 4*i - 9. Let x be d(6). Let c be w(x). Calculate the highest common factor of 7 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d + 3*d + 20 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008523143401 to 7 dps.\nAnswer: -0.0000852","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6905?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 11) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-30)*10*((-1908)\/3280 - 6\/(-10))\nAnswer: -1\/82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 601, 600, 599, 598, 597, 596?\nAnswer: 595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -151\/4 + 38. What is the closest to z in -7, 0, -2\/17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 251627520 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41 - -40.97. Let g = -0.05 - w. Is -1\/5 at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 273 in 7, -0.2, 5\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*a)*(3*a - 5*a + 3*a) + 20*a**2 - 8*a**2 - 2 - 13*a**2.\nAnswer: a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -4.1, -0.2, -2, -7992, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**5 + h**3 - h**2 + 1. Let t(v) = -2*v**5 - 5*v**4 + 11*v**3 + v**2 - 5. Let s(r) = -5*l(r) - t(r). Solve s(u) = 0.\nAnswer: -2, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (16\/10)\/(2\/15)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 10) + -12 + (-6 - -5 - -6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168682814?\nAnswer: 2, 84341407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/r**(-1))**11\/(r*r\/r**5*r\/r**(-2\/17)))\/((r*r**6\/r)\/(r*r**(-2\/9))*r**(-4)*r*r\/(r\/r**(-3))*r) assuming r is positive.\nAnswer: r**(5303\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 30*r**2 - 26*r - 31. Let n be s(29). Suppose -156 = -2*h - 46. Let k = n - h. Is 2\/7 >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1859174 take away 9443?\nAnswer: -1868617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-67*s - 86 + 173 - 85)*(-3 + 3 + 2)*(2 + 0 + 0).\nAnswer: -268*s + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gcugcncaguucc. Give prob of sequence cc.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -259a + 560?\nAnswer: -203a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, -515, 1, -3, -0.921?\nAnswer: -0.921","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mf when two letters picked without replacement from aamrfmrmaammm.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 10901488, 10901498, 10901516, 10901542, 10901576?\n\"Answer: 4*n**2 - 2*n + 10901486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 1044*m + 1. Let g be a(1). Suppose 3 = l, 5*d + 3*l = 659 + g. Suppose 2*j + 0*j + 104 = q, 3*q + 3*j = d. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 170092415?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 54*j**2 - 24*j - 60. Suppose -1780 - 1136 = 54*r. What are the prime factors of v(r)?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence byb when three letters picked without replacement from ybbbbbybbbbbbbbyby.\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -2 + 2 - -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -5*r + 7, -4*r = p - 0*p - 11. Let s(x) = 11*x**2 - x**2 - 6*x**r. Let u(q) = -6*q**2. Calculate s(u(y)).\nAnswer: 144*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 10*j = -60312. Suppose -17*d + 3495 = -j. What are the prime factors of d?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (5*sqrt(130)*1)\/(sqrt(110)\/sqrt(44)) - -1*(sqrt(468) + 0 + sqrt(26)\/sqrt(2) + 3)*-1)**2.\nAnswer: 6*sqrt(13) + 118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19474 or 9\/17?\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/9)\/(8\/42). Let u = -3 + n. What is the third biggest value in 0.3, 1\/4, u?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -133*q**2 - 532*q - 20. Calculate b(-5).\nAnswer: -685","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 5*b = 0. Suppose b = 5*k - 13 - 7. What is the tens digit of 2 - k - 38\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a micrometer in nanometers?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -1\/12*i**4 + 0 + 6*i**2 + 0*i**3 + 0*i. Let u(t) be the first derivative of 2*t**2 + 1. Give u(f(b)).\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 29*g - 112. Which is the biggest value? (a) 33 (b) g (c) -0.4 (d) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -3 - (6 - 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, -5, 106329 in descending order.\nAnswer: 106329, 5, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.017*-4\nAnswer: -0.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/d**(-16)*d*d**(-4) assuming d is positive.\nAnswer: d**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*b - 8*b. Suppose 5*s + 16 - 6 = b. Let f = 9 - s. Is f a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5835359 is divided by 230.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2131582 to the nearest integer?\nAnswer: 1460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 477 + -481. Suppose -5*b = -a + 22, -3*a - b = -3*b - 1. Sort a, x, -2 in decreasing order.\nAnswer: -2, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -214 + 3737*v + 650 - 230 - 206 to the form l + g*v and give g.\nAnswer: 3737","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 4*s**2 + s - 2. Let z be f(4). Suppose -14 = z*v - 18. Solve -25 = -5*c - v*j - 3, 4*j = c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -245054 to the nearest 1000.\nAnswer: -245000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 5*p + 31 = -128, 0 = f - 2*p - 56. Solve f = 8*i + 15*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 456, 479, 492, 489, 464, 411?\nAnswer: 324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of 2*j**6\/9 + 4*j**5\/15 - j**4\/3 - 4*j**3\/9 - 45. Factor h(f).\nAnswer: 4*f**2*(f - 1)*(f + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*(-18)\/(-20))\/(5994\/44955).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + o**2 - 4*o - 2. Let v be h(0). Let g be v\/(-8) + 418\/88. Solve -4*p - g = -3*n, -4*p - 3 = -4*n - n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 4, -4, -0.3, 1\/4, 1\/2, 946\/15?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5 = y. Suppose 5*f + y*u = 8*f - 40, -5*u - 25 = 0. Suppose 2*m - 48 - 12 = 4*b, f*m - 5*b = 155. What is the remainder when 108 is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7 - 0)*(-56)\/(-196). Solve -j*z = 14 - 12 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 11:37 PM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*h + 13288 = 2398 for h.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 55.32565um?\nAnswer: 0.005532565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -44*y**3 - 9*y**2 - y - 3. Let x(s) = 88*s**3 + 15*s**2 + 2*s + 5. What is -5*l(u) - 3*x(u)?\nAnswer: -44*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (j**2 + j**3 - j**2)*((-2*j - 4*j + 7*j)*(-2226 - 4625 + 217) - 3*j - 3*j + 3*j) as y + p*j**3 + v*j**4 + s*j**2 + x*j and give v.\nAnswer: -6637","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227*z - 11*z**2 - 227*z.\nAnswer: -11*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 81 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15\/(-2) + 8\/(-16). Find the common denominator of 13\/9 and ((-10)\/c)\/((-1)\/(-18)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -552b (base 14) in base 12?\nAnswer: -8643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 u when two letters picked without replacement from {h: 1, n: 2, u: 2, l: 4, q: 1, j: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*w + 301 - 211 = 0. Determine t, given that -1\/3*t**w - t**4 + t**3 + 0 + 1\/3*t**5 + 0*t = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -255 + 266. What is the least common multiple of w and 5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 16, 23, 32, 43?\n\"Answer: y**2 + 4*y + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-6\/7)\/((a\/(a\/((a**(9\/7)\/a)\/a)))\/a))\/(a**(-2))**(-8) assuming a is positive.\nAnswer: a**(-106\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + 4*x + x**2)*(2106*x + 3 + 2769*x - 973*x - 3).\nAnswer: 3902*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -31 + -2?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -219 * 16\nAnswer: -3504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -4*k. Let b(r) be the first derivative of 2786*r**3\/3 - 3945. Give w(b(c)).\nAnswer: -11144*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((i*(i\/((i\/(i*i**(-8)*i))\/i*i))\/i)\/i)**(-41))**19)**(-50))**(2\/67) assuming i is positive.\nAnswer: i**(-545300\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*g - k, 2 = -2*g + 4*k - k. Suppose 13*a - 48 = 5*a. Suppose -5*y + 4*x + 19 = 0, -a = -5*y + 3*x + 12. Put g, y, 22, -4 in decreasing order.\nAnswer: 22, g, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -937, -23, 3.\nAnswer: -937, -23, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 4*u**3 - 12*u**2 + 184*u - 15. Let h be j(11). Round h to the nearest 100.\nAnswer: 5900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from yppppdppyypy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 49. What are the prime factors of b?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -386350*m - 156180 wrt m?\nAnswer: -386350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/918 and 58\/4185.\nAnswer: 142290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -2*q - 2, -2*q + 5 - 1 = -2*m. Let z(s) = 4*s + 4*s**2 - 6*s**m + 4 + 3*s**2 + 6*s. What are the prime factors of z(-13)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 3) + 1 - -2. Suppose j = -3*t + 2*t + 87. Differentiate -89 + 3*u**3 - 4*u**3 + t with respect to u.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2306 times -7\nAnswer: 16142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*q - 236 = -21 + 97 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 814107641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -37, -35, -27?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 67696426 to the power of 1\/3, to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 8:54 PM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 1591202 = 3*h, -40*h + k = -39*h - 530401. What is h rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - h**2 + 10 - 70*h.\nAnswer: -h**2 - 70*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-18)*3*3\/2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23535, -47064, -70593, -94122?\nAnswer: -117651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 295232 to the nearest integer?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**2 + 94*h + 1286. Determine n(58).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 1:42 AM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/(-6))\/(14 - (-10418)\/(-744)). Let b = 632 - i. What is the least common multiple of 52 and b?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**16*k))**14)**(3\/47) assuming k is positive.\nAnswer: k**(-714\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 + 4)\/(1\/6). Let w = 29 - 36. Let v be b*4\/8 + w. Put v, 3, 4 in ascending order.\nAnswer: v, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 11929351, 11929350, 11929349?\n\"Answer: -n + 11929352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1969506 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.3 - -0.3. Let i = -2 - t. Let m(p) = -p**3 + p**2 - 3*p + 5. Let b be m(0). What is the second biggest value in b, i, -0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -12, 156, 12, 0, 5 in increasing order.\nAnswer: -12, -9, 0, 5, 12, 156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - t**2 - t - 1. Let y(f) = -75*f**3 - 4*f**2 - 4*f - 92. Let z = 73 - 77. Let r(x) = z*g(x) + y(x). What is the first derivative of r(q) wrt q?\nAnswer: -237*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -18*i - 34*i + 27 - 135. What is the units digit of f(-23)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14.99 + 15. Let t = -14\/9 + 8\/9. Sort -0.1, r, t in ascending order.\nAnswer: t, -0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {r: 9, b: 11}.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*i = -12, -5*s - 5*i + 19 = -3*s. Let t(p) = p**3 + 5*p**2 - 3*p + 4. Let d be t(s). Find the common denominator of -45\/2 and 2 - d*4\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -3. Let f be (1\/4)\/(1 - 0). Let w be (-5 - (-7 + -2))*(0 + (-12)\/(-16)). What is the nearest to f in w, 4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23*5\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 7. Suppose s = u + 2. Let l(x) = -x. Calculate the smallest common multiple of u and l(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -676*l + 682*l. Let g = 3.9 - 6.9. Which is the smallest value? (a) l (b) 0.06 (c) g (d) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, 506 in descending order.\nAnswer: 506, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -94676.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51 + 58. Solve 4*w = -5*z + 33, 3*z - 4 = 2*w + n for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14\/9 in -0.2, -2, 18\/19?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2500947624?\nAnswer: 2, 3, 7, 199, 239, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 222 - (434 - 193) - (-1 - -39)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, g: 1, r: 2}. Give prob of sequence rg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*f**3*p**2*y + 20*f**3*p*y**2 - 44*p**2*y**3 - p*y**2 - 3*y**3 wrt p?\nAnswer: 6*f**3*y - 88*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1017858321?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (55\/110)\/(-2 - (-46)\/24)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/600 and -83\/36000.\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7432 is divided by 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 4:33 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = j - 2. Suppose -4*m - 16 = -j*m + o, m = 3*o + 16. Calculate the greatest common factor of m and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01938 + -0.4\nAnswer: -0.41938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51873.\nAnswer: 3, 17291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**2 + 13*k - 3. Calculate the lowest common multiple of d(5) and 39.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -j**3 + 7121*j**2 - 7363084*j + 7355964 = 0.\nAnswer: 1, 1254, 5866","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*r**4 + r - 2*r + 2*r**4 + 6*r**4 + 0*r**4 + 22*r**4 + (-r**2 + 2 - 2)*(-r**2 + 3*r**2 - 3*r**2).\nAnswer: 38*r**4 - r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8 (b) -2\/13 (c) -11.858\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((196\/14)\/154).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50 - 46. What is the lowest common multiple of 33 and t?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1353 - -21.6647. Let p = 32 + -54. Let g = m + p. Sort 5\/3, 4, 2, g in descending order.\nAnswer: 4, 2, 5\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -2360 <= -5603?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - b + 4. Let r be m(3). Suppose -4*w = w - r. Suppose -w + 10 = 2*x. Solve -5*t = -d - 23, -d = -x*d - 4*t + 7 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22342 (base 7) in base 8?\nAnswer: -13041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 2*y - 113, -r + 3*r - 2*y = 50. Suppose -297*l = -307*l + 20. Solve -r = 4*s + s - b, 30 = -l*s - 5*b for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 27 = -3*z - z, 5*v = -5*z - 10 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-5)\/11)\/((-69)\/759). Solve 2*n + 2 - 6 = -2*f, -8 = -j*n - 3*f for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18574 is divided by 216?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 divided by -34?\nAnswer: -547\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + b - 4. Let i be f(-3). Suppose 3*o - 5*q = 185, 2*q = -2*o - 0*q + 102. Suppose i*x - o = x. Does 11 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) 1\/2 (c) 0.0508 (d) -3 (e) 5\/7 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**4\/4 - q**3 - q**2\/2 + q + 3\/4 = 0. Calculate q.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 901681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -629, -627, -625, -623, -621?\n\"Answer: 2*n - 631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4*n - 6 = -5*z, -3*z - 3*n + 6 = 0. Suppose z*d + 5*k = 2*d - 37, -12 = 4*k. What is the remainder when d is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n + 6 + 3 - 5 - n**2 + n**3. Let l be o(0). Suppose l*d - 8 = -r, 4*r + 4*d - 3 = 77. Solve 4*a + r = 2*j, 2*a - a - 5*j = -24 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -281259371011 + -1.21.\nAnswer: -281259371012.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of -q**6\/120 + 3*q**5\/20 + q**4\/8 + q**3\/6 + 3*q**2. Let l be i(9). Suppose -f = -5, -k = 3*f + 1 - l. Is k a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - 2*n. Suppose -24*t + 27*t = -6. Let w be y(t). Find the third derivative of -w*g + 9*g**4 - 6*g**2 + 8*g - g**2 wrt g.\nAnswer: 216*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121)*2*-2)\/(sqrt(11) - (sqrt(11) - (sqrt(176)*-5 - sqrt(11)))))**2.\nAnswer: 176\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 52226063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 35\/546*(0 + (-6)\/20). Are -1 and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, j: 5, b: 6, n: 1, c: 1, o: 2}. Give prob of picking 2 c and 1 j.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -136 - -136.0476. Let m = a + -0.04761344. Round m to 6 dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0696 + -382.0696. Let t = -384 - o. Which is the third smallest value? (a) -0.4 (b) t (c) -0.3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 13*i + 27. Let d be n(-11). Solve d*t - 1 = -2*h + 3, -5*h - 3*t = -10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -72*o**2 + 2*o + 0*o - 74*o**2 + 147*o**2. What is j(3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.16, -1, 6.4, -3, 5, -7429?\nAnswer: -7429","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 84 = -5*q, 3*q - 45 = -2*a - a. Let d(t) = t**2 + 7*t - 6. Calculate the lowest common multiple of d(-9) and q.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -137 + 74 + 72 + -41\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*3*((-851)\/69 + 11).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 6*m**2 - m - 5. Suppose 4*a + 120 = 32. Let g(i) = -1. Let c(x) = a*g(x) + 2*v(x). Factor c(k).\nAnswer: 2*(k - 6)*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 198.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11765061817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6 times -0.05?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 520 a factor of 5224960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -927 - -5561\/6. Which is the nearest to -1? (a) 2 (b) 6 (c) 1 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8*(-5)\/(-1))\/(-17). Let o be (-7)\/(-21) - (-1609)\/(-561). Let p = o + k. Is 0 greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, o: 1, f: 1, a: 1, e: 4}. Give prob of sequence fnea.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(-3))\/(((m\/(m*m**30))\/m)\/m))\/(m**(4\/7)*(m**17\/m)\/m))**36 assuming m is positive.\nAnswer: m**(5148\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 93*i + 1335. Calculate v(-13).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 18 + (8\/6)\/((-8)\/24).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5*j - 2*j + 70 = 0, 34 = h - j. Let s be h\/(-6) - 4*(-4)\/48. Let n be (s\/5)\/(3\/(-15)). Solve -p - n*k = 27, 10*p - 5*k = 5*p + 15 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/10)\/(((-350)\/(-700))\/((-4)\/(-6)))?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 5*f + 89. Let i(j) = 4*j**2 - 3*j + 2. Let k(q) = 78*q**2 - 60*q + 40. Let p(w) = 60*i(w) - 3*k(w). Calculate c(p(s)).\nAnswer: 30*s**2 + 89","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 232899613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4*s - 40. Suppose 3*g + 5*j + 1 = s, -2*g + 14 = 4*j. Suppose -g*b - 112 = b. What is b rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100 (base 2) to base 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 4*v + 1. Let w(p) = p**3 + 6*p**2 + 4*p - 2. Let r be w(-4). Suppose 9*y - 28 = 8. Let a(q) = -r + 5 + 1 + 7 - y*q. Give -3*a(x) - 2*f(x).\nAnswer: 4*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10096\/15 - 24644\/35. Let j = 2\/9251 + -869600\/27753. Let w = m - j. Which is the third smallest value? (a) 0 (b) w (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*b + 315 = -81*b. Suppose 0 = -l + b + 517. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 5*p + 2. Suppose -2*g = -3*r - 101, -3*g - 2*r + 40 = -2*g. Let z = g + -41. Let v be h(z). Solve -4 = o - v*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 68, -0.35, -2\/25, -42 in descending order.\nAnswer: 68, -2\/25, -0.35, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -d26 (base 16) in base 11?\nAnswer: -2590","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-13)*y*(y\/(y\/y**(-18)*y)*y)\/y)\/(y**(-8\/3)\/((y**21\/y)\/y*y*y)) assuming y is positive.\nAnswer: y**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 296946 = -188*d + 308602 for d.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156 is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -152, -2, -6, -3 in decreasing order.\nAnswer: -2, -3, -6, -152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*a + 87 - 283. Suppose 7*g + 42 = a. Let x be (-105)\/(-56) + 1*g. What is the biggest value in -3\/7, -3, x, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35695*g + 17266*g - 16664*g.\nAnswer: 36297*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -170968 + -40?\nAnswer: -1709a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 3 = 3*x, -x - 9*p - 1 = -11*p for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 4*b + 9, -23*f - 110 = -3*b + 382 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1409 + -997. Sort 7, 4, t in increasing order.\nAnswer: 4, 7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**4 + 36*p**3 - 432*p.\nAnswer: -4*p*(p - 6)**2*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2 - 9) + (-1365)\/(-205) and -95\/6.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 455*k - 12. Let g(w) = -2725*w + 71. Calculate 25*c(o) + 4*g(o).\nAnswer: 475*o - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, a: 2, o: 2}. What is prob of picking 2 a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -11*s**2 + 10*s**2 - 19*s - 19 + 3*s - 11. Let v be b(-13). Solve -w + i = -0 + 1, v = -3*w + i for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1833310943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.076 times -2\nAnswer: -0.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 5, 0, -0.3, -0.068, 4\/3, 10.9, 1\/5?\nAnswer: -0.068","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 0*f - 4. Factor f*y**2 + y**2 + y**5 + 3*y**3 + y**2 - 5*y**2 - 3*y**4.\nAnswer: y**2*(y - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -12*d**3 - 3 - 31*d**3 + 24*d**3 + 2*d**2 - 3*d. Let c(i) = -7*i**3 + i**2 - i - 1. Let u(x) = -11*c(x) + 4*j(x). Give u(-2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3.4, -24, 0.4, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/16 and -163\/30?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 74682 = 3*q, -3*q - 23*t + 19*t + 74628 = 0. What are the prime factors of q?\nAnswer: 2, 6221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 45 = -3*p. Let t(s) = 18*s - 98. Let m be t(6). Suppose 44 = m*l - p*l. What are the prime factors of l?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31519?\nAnswer: 43, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -221210?\nAnswer: 221202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 0 + 19 + (-67 - -32).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -97, -96, -95, -94?\n\"Answer: r - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1991266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4242 + 4326. Is v not equal to 99?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1284705638.91011 - 1284712288. Let s = -6649 - b. What is s rounded to three dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -6ea8?\nAnswer: -6ead","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -k**8\/504 + k**6\/180 + 16*k**2 - 2*k. Factor p(f).\nAnswer: -2*f**3*(f - 1)*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -1, 22 - 81 = -2*s + 5*f. Solve -60 + s = 4*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66486, 132636, 198786, 264936, 331086, 397236?\nAnswer: 463386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1911)\/36)\/13 + 4. What is the second biggest value in 4\/11, -0.3, 0.5, n?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 429593 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f + 1. Suppose 5*q = 72 + 48. What is the least common multiple of t(2) and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2 - 22\/12)*(-16)\/((-2688)\/1062) and -69\/376.\nAnswer: 2632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 20.72746 to 2 dps.\nAnswer: 20.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-303*c + 1 + 10 - 12)*(3 + 1 - 1).\nAnswer: -909*c - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 461?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -171*t*y**4 + 165*t*y**3 + t*y**2 + 2*t*y + y**4 + 81*y - 34 wrt y?\nAnswer: -4104*t*y + 990*t + 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 24 = -2*g, -h - 3*h - 3*g = -32. Let s = 5 - h. Let l = 0.3 + 0.2. Which is the biggest value? (a) l (b) -0.3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2072383 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 4*c - 857 = 0, 5*t + 4*c = 6*t - 181. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 322139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 23 + 148?\nAnswer: 16b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -9*c. Let s(v) = -3*v**3 - 2*v**2 - 2*v - 1. Let k be s(-1). Let n = 5 - k. Let t = n + 2. Let u(q) = 14*q. Calculate t*u(b) + 8*l(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 2*o + 43, -o = -g + 51 - 13. Let y be 8\/28 + g\/7. What is the third derivative of -3*i**2 - 2*i**y - 4*i**5 - 11*i**5 - 5*i**2 wrt i?\nAnswer: -1020*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*d**4 + 3*d**3 - 3*d**3)*(0*d + 5*d - 2*d + (-2*d - 1 + 1)*(-1 - 2 + 2) + d + d - 3*d).\nAnswer: -24*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 63*c - 2. What is the tens digit of b(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 46 + 6. Find the common denominator of l and 99\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0*9\/27)\/(2*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 218504 divided by 2\nAnswer: 109252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-2 + (3 - 8) + 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 + 1 + 1)*(-2*s - s + s) + 11 + 4*s - 11 + (-1 + 2 + 1)*(4*s - 4*s + 2*s))*(-3*s - 2*s + 7*s) to the form v*s + d + x*s**2 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3d - 2?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 5*n = -6*h, 0 = 4*n - 0*h + 3*h for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-8462)\/(-7) - 228\/266?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 5*k**2 + 3*k - 7. Let j(o) = o - 1. What is 5*j(g) - p(g)?\nAnswer: -5*g**2 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3285 (b) 1 (c) 63 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (1032\/(-17))\/6\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/(-1))\/((-2)\/(-4) + -2). Sort -9, m, 3 in descending order.\nAnswer: 3, m, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-21)\/(-9))\/(3\/9). What is the third derivative of 8*o**3 + 6*o**2 - 6*o**2 - b*o**2 - o**2 wrt o?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 87 - 83. Let s be (-10669996)\/22 + k\/(-22). Round s to the nearest ten thousand.\nAnswer: -490000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 39 - 24. Solve -a = 4*u + 5, -3*a + 4*u + c = u for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 88.72 to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b95a (base 15) to base 13.\nAnswer: -4bc37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1*-133.4536\nAnswer: 133.4536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 812 divide 84934388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 1 + 6)*(6*v**2 - 16*v**2 + 0*v**2)*(7 + 0 - 38).\nAnswer: -1550*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27123 - 135616\/5. Put 3\/4, -0.3, 11\/7, -55, w in ascending order.\nAnswer: -55, -0.3, w, 3\/4, 11\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(51)\/sqrt(3) + -1 - (-3*sqrt(1700) + sqrt(1700))).\nAnswer: -21*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z**2 - 299455*z - 21833570 = 0. What is z?\nAnswer: -59818, -73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*l - 44*l - 10741 = -2127. Calculate the greatest common factor of l and 3431.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.2, -1\/5, -1\/14, 101\/10, -0.8, 5?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 81 = 5*b. What is the units digit of 6\/b + 178\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 7*z**2 - 7*z - 3. Let v = 22 + -14. Let g be n(v). Let l be 1 - -1*(3 + 1). Solve r = -2*c - 2*r + 21, g*c = 4*r - l for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4797113, -4797110, -4797107, -4797104, -4797101, -4797098?\nAnswer: -4797095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(165)\/(sqrt(5) + 1*sqrt(5)*4))\/((sqrt(216)\/(sqrt(12) + sqrt(12)*-2))\/sqrt(6)))**2.\nAnswer: 11\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 336*-45.\nAnswer: -15120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 28\/(-8)*-2*4 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - ((4 - 8) + 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -0.1 (c) -1\/49 (d) 0.5 (e) 38 (f) -0.01\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1747 (base 11) to base 15.\nAnswer: -9d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5148 and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*r - 6 = 0. Suppose -k = 4*k + 25. Let c be 3\/k - (-12)\/(-5). Sort 2, r, c.\nAnswer: c, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 5*g - 0*g - 135, 5*g - 4*t - 138 = 0. Does 15 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 10:00 PM?\nAnswer: 278","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -1 + 9 + 0*f + 9*f**2 + 8*f - f**3. Let t be r(10). List the prime factors of (7\/(-2))\/(t\/24).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**3 - 6*m**2 - 4*m - 4. What is u(-4)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2386136 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1847 - -2267. Does 70 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*b = -198*b - 38*b + 2091352. What are the prime factors of b?\nAnswer: 2, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -208944, -835717, -1880340, -3342813, -5223136, -7521309?\nAnswer: -10237332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -45, -0.022, -2, -0.19?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jkjhjhhh. Give prob of sequence hh.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 460681 and 25363.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 820\/609 (b) 3\/67 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2064 - -1804. Which is the fourth smallest value? (a) -0.5 (b) -3 (c) -1 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/144 and 12\/(-24)*2\/(112\/(-44)).\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3797419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of d**6\/1440 - d**5\/240 + d**4\/96 - d**3\/2 - 5*d. Let k(l) be the second derivative of u(l). Factor k(o).\nAnswer: (o - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*h**5 - 40*h**5 - 28*h**5 + (4*h**2 - 4*h**2 + h**4)*(-3*h + h + h) + 0*h**4 - 1813 + 0*h**4 + 361*h**5 + 1813.\nAnswer: 302*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 1:16 AM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (2 + (1 - -2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + h = -4, 2*u + 4*h = 6*h - 4. Calculate the highest common factor of 25 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 71171466 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + 1. Let h = 11 + -6. Which is smaller: h or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*r - 35425 + 35307 = 2*t, -2*r = -4*t + 5*r - 4*r + 40 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 1943408?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3320, -6568, -9816, -13064, -16312, -19560?\n\"Answer: -3248*t - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -47, -46, -11, 70, 209?\nAnswer: 418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.14, 5, -15, 9?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 4 - (1 - 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/21 and -115\/1156218.\nAnswer: 1156218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 + 8 + -192004)*-10. What is q rounded to the nearest one hundred thousand?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/27? (a) -2\/13 (b) 23\/3 (c) -3 (d) -2 (e) 9 (f) 5.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 138d + -3c6?\nAnswer: eb7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 + -19. Let g(r) be the first derivative of -1\/4*r**4 - 2 + r**p + 0*r + 0*r**2. What is the third derivative of g(d) wrt d?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2205*d**2. Let m(t) = -2*t**2. What is h(m(a))?\nAnswer: -8820*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 4*m - 1. Let f be t(5). Suppose f*q - q = 2*j - 33, -54 = -4*j + 2*q. Is j a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2. Let r(s) = s - 1138. Determine r(i(k)).\nAnswer: k**2 - 1138","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/2750800 and 17\/343850.\nAnswer: 2750800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/5))**(-37)\/((l\/(l*l**5)*l)\/l**(-8)))\/(((l\/l**(3\/4))\/l**(2\/17))\/(l*l\/(l*l**5*l)*l\/(l*l**(-3\/7)*l))) assuming l is positive.\nAnswer: l**(-58319\/2380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -2\/7, 1\/7, -7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 0*b = b - 74, l + 3*b - 30 = 0. What is the lowest common multiple of 2\/(-6) + 176\/l and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 102*c**2\/5 + 157959*c\/5 + 412782\/5 = 0.\nAnswer: -1546, -89\/34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -134 divided by -2\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1057850 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 5*r - 20 = 0, 79*r = -3*k + 76*r - 18 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b**4 + 113*b**3 - 4*b**2 + 3288*b + 284148058 with respect to b.\nAnswer: 8*b**3 + 339*b**2 - 8*b + 3288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 75 + 2*(-1 + -1)\/4. Let f be (3 + n)\/((-2)\/(-4)). Suppose -f + 113 = x. Find the common denominator of x and -11\/87.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 64*z**2 + 6*z + 380. Calculate j(-64).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 17*y**2 - 13*y + 37. What is q(17)?\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0*((-15)\/(-18) - 3\/9). Suppose i = 11*n - 55 - 209. Suppose c - 2 = -0*c - 2*z, 3*z = 3*c - n. Solve -3*a + c = -0*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 503?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 56467 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 2*m - 3. Let n(u) be the first derivative of -u**3\/3 - 3*u**2\/2 + 2*u - 8. Let w be n(m). Solve -w*d + 0*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 1 + 58209*x**2 + 124*x - 58206*x**2 to c + v*x**2 + s*x and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 2) in base 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 3*l**2 - 3*l + 1. Let o be t(4). Let y(h) = -17*h + 9. Let d be y(4). Let f = -57 - d. Solve j - o*j + 1 = 3*k, -f = 2*k for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -0.3 (c) 1\/7 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 3 - 10 - 2*n + 0 in the form r*n + a and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-3)\/(p*p\/(p\/(p*p**(6\/7)))*p))\/((p**(2\/5)\/p*p)\/p*p*p*p\/(((p**3\/p*p*p)\/p)\/p*p)))**(2\/89))**(-4\/7) assuming p is positive.\nAnswer: p**(1752\/21805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 100364078 to the power of 1\/2, to the nearest integer?\nAnswer: 10018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 + 26 = -5*s. Let v(k) = 8*k + 8. Let j be v(10). What is the second derivative of 20*o**s + 88 - 5*o - j wrt o?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tz when two letters picked without replacement from ttzztzztztuttzzttt?\nAnswer: 35\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 5*a**2 - 1. Let c be r(-5). Suppose 5*g - 41 = 5*x + 4, 3*x - 15 = -4*g. Let v(b) = -g*b - b - b + b**2 + 9*b + 1. Give v(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c + 3. Let t be r(4). Let f(q) = -2*q**2 + 11*q + 2. Let w be f(5). Suppose 5*z - w = -v + 6*z, 17 = 2*v - 3*z. Sort t, 5, v in decreasing order.\nAnswer: 5, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -115665, -231386, -347089, -462780, -578465?\nAnswer: -694150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2531*k**2*z**3 - 824*k**2*z + 4*k**2 + 200*k*z**3 - 2*k*z - 3*k + 2 wrt z.\nAnswer: -15186*k**2*z + 1200*k*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 5*n = 160, 5*u = 2*n - n + 172. What are the prime factors of u?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 27, 2\/5, 1\/3, 5\/14?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 719.\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39095428?\nAnswer: 2, 43, 227299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 25. Is g(0) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2074 + 2069. Sort 45\/4, 4, -4, q in decreasing order.\nAnswer: 45\/4, 4, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 667 (b) 0.5 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*w**4\/3 - 373*w**3\/3 - 8441*w**2\/3 - 10067*w\/3 - 665 = 0. What is w?\nAnswer: -57, -35, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 8301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 44050*i - 132156. Calculate v(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 394 is divided by 164?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9633 is divided by 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0.3 (b) -0.314 (c) -0.4 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = -m - 5*v, 2*v - 118 = -5*m + 393. List the prime factors of m.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g + g - 5*g + 13*g - 21*g - g.\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-9)\/4)\/((-12)\/(-32)). What is the units digit of (z\/(-4))\/(1\/6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-490172)\/(-8174) - (-180)\/(-3).\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*x + 39 = -6*x + 195 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20772, 2, -6, -4 in increasing order.\nAnswer: -6, -4, 2, 20772","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 96194036?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, a: 3, x: 7}. What is prob of sequence vx?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/36 and 11\/126.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 8.14*-13\nAnswer: -105.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -3*s - 23. Let q = -15 - s. What is the third derivative of b**2 + 3*b**3 + 4*b**2 - b**q + 0*b**2 wrt b?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*v + 64 = -34*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 0 - 3)*(x - 5*x + 3*x) + x + 2*x - x + (2 - 2 + 2)*(x + 0 + 0) to the form j + b*x and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3 + (sqrt(343) + 0)**2 + 0).\nAnswer: -340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 448385117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 102, 166, 228, 288, 346, 402?\n\"Answer: -g**2 + 67*g + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.86184542 to three decimal places.\nAnswer: 2.862","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 2\/7, -1, 248, 1\/3, 0.1 in descending order.\nAnswer: 248, 1\/3, 2\/7, 0.1, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/245901672 and -51\/109289632?\nAnswer: 983606688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 12) to base 16.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/79? (a) -2 (b) 1\/3 (c) -0.4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 246.\nAnswer: -4\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 3:07 AM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jujjujjujjujjujjujj. Give prob of picking 3 u.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**2\/9 + 15362*p\/9 + 7674160\/3 = 0.\nAnswer: -5640, -2041","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -1\/4, 0.2, 0.75?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, 4, 7, -2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h + 27 - 111 = 0. Let o be h\/(210\/(-12)*4\/(-5)). Let w = 1.4 + -1.54. Which is the closest to -0.1? (a) w (b) -1\/2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/1375 and 17\/1750.\nAnswer: 19250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 226, 397, 568, 739, 910, 1081?\n\"Answer: 171*d + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(108)*-2 + sqrt(108) + sqrt(108) + sqrt(108))**2.\nAnswer: 8748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 100 - 100 + 10*j. List the prime factors of n(4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5192807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 0*x - x)*(2*x - 2*x + 2*x) + (7 + 7*x - 7)*(-2*x - 2 + 2).\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 229*c**2. Let r(f) = -2*f**2. Give k(r(x)).\nAnswer: 916*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -3\/4, -2, -3\/8 in increasing order.\nAnswer: -2, -3\/4, -3\/8, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10652 - -53258\/5. Which is the biggest value? (a) 2 (b) p (c) 2313 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.362092 kilograms to micrograms.\nAnswer: 9362092000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -92641, -90880, -89119, -87358?\n\"Answer: 1761*c - 94402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7.003246 kilograms?\nAnswer: 7003.246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11d (base 14) to base 5.\nAnswer: 1343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/50 of a kilogram?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -48\/5*y**2 - 12\/5*y**3 - 18\/5 - 57\/5*y = 0?\nAnswer: -2, -3\/2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -4, 1, 0, -11 in decreasing order.\nAnswer: 5, 1, 0, -4, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 740 + -722. Solve -2*h - 5*z + l = 0, 14 = 3*h + 2*z - z for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12.35 + -12.341. Which is the third biggest value? (a) -5 (b) h (c) 1\/7 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.28012 decades in months?\nAnswer: 1233.6144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*l + 3*l = 53, 0 = -2*u + 2*l + 38. Calculate the highest common divisor of u and 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -13. Suppose 20 = -k*y + 7*y. Solve -y*r = -3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 10*h**2 - 20*h + 28. Let m be (2\/1)\/(3 + (-33)\/12). Let b be o(m). Let g(c) = -c**3 - 5*c**2 + 2*c + 5. Calculate g(b).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8189486*n**2 + n + 644451 wrt n?\nAnswer: -16378972*n + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3*u + 15. Suppose -3*c + 102 = -u*n, c - 108 = -3*c - 3*n. Let g = 55 - c. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of c**6\/60 + c**5\/15 + c**4\/12 - c**3\/3 + c**2 + 21*c. Determine n(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3\/5 - 241128*a**2\/5 + 58656624*a\/5.\nAnswer: 3*a*(a - 80132)*(a - 244)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -5*d**3 - 109*d**2 + 25*d + 67. What is h(-22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**7*o\/(o*o\/(o\/o**5)*o))**49 assuming o is positive.\nAnswer: o**49","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + -5. Let x = -29 - -42. Suppose a + b = x. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + (23 - 44) + 13 + 35 + -1 + 0?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1081746 or -1081748?\nAnswer: -1081746","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-71 - 3 + 16)*(-4*q + q + 2*q) to the form k + v*q and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.5 and 0.4538?\nAnswer: 0.9538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 311711 to the power of 1\/2, to the nearest integer?\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1080*j + 4096*j + 2128*j.\nAnswer: 5144*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 5 = 4*p. Let j be -2 - (p + 580\/(-4)). Calculate the highest common factor of 56 and j.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c**3 + 397*c**4 - c - 4*c**3 - 406*c**4 + (-2*c - 3*c + 2*c)*(-5*c**3 + 3*c**3 + 4*c**3) to the form g*c**4 + t*c**3 + p*c + i + z*c**2 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of 0*y**5 + 0 + 0*y + 0*y**6 + 0*y**3 + 0*y**7 - 1\/12*y**4 - 1\/168*y**8 + 2*y**2. Find the second derivative of i(c) wrt c.\nAnswer: -40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, p: 6, s: 8}. Give prob of picking 3 s.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0423 + -0.3577. What is the fourth smallest value in 0.23, -3, k, -3\/4?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 58*k - 3. Let j be o(2). Let y be (1 - (-1 - j)) + -2. Let x = y - 73. What is the greatest common factor of 5 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 take away -0.075?\nAnswer: -14.925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.061856303 take away 24.1?\nAnswer: -29.161856303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (((-27)\/(-6) - 2) + 2)\/((-834)\/(-556))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 6802*c - 81599. Give o(12).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 85 and 62900.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 9, m: 11}. Give prob of picking 2 h.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(684) + sqrt(684) + 5 + sqrt(684)*1 + ((sqrt(684) + -1)*3 - sqrt(684)) - (sqrt(684) + -1 + 1 + sqrt(684) + -4))*4 + 3)**2 + 4.\nAnswer: 3888*sqrt(19) + 99229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15260354 divided by -4.\nAnswer: 7630177\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.25 + 0.25. Let f = -47 + -30. Let p = -75 - f. What is the nearest to -0.2 in p, -0.2, x?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9870933 is divided by 121.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 5*o - 2*f, -2 - 5 = o + 4*f. Let a be (6\/(-3) - -1)*o. Suppose 2 = 5*c - 13. Solve a = c*y + 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71974 is divided by 2443?\nAnswer: 1127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 114 and 229083?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44892207 to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -7091.8 to the nearest 10.\nAnswer: -7090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/30)\/((-5)\/(-60)*6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -a8 (base 11) to base 2\nAnswer: -1110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - b**2 + b - 1. Suppose -3*r - 6 = 2*o, 5*r + o + o = -10. Give h(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7779.499ml in litres?\nAnswer: 7.779499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-26 - (-26 + 13))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 24 = -c, 3*s + 117 = -4*c - 2*s. Let q = -91 - c. Let w = q - -28. Are -36 and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q + 691 = 306*a + 14*q - 19*q - 829, -3*a + 13 = 3*q - 2*q for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 44674 divided by 2\nAnswer: 22337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*i + 527 - 567. Solve 16*u + i*g - 9 = 15*u, 5*g - 25 = -4*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1036 and 1708?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 207306?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 187219337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13 + 33 + h + 37)*((1 + 3 + 1)*(-2 + 4 - 3) + 1 - 1 - 2) as v + x*h and give v.\nAnswer: -399","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*q - 1 + 114*q - 28*q - 8*q + 1.\nAnswer: 42*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of 0 + 1\/30*p**5 + 5\/6*p**3 - 1\/12*p**4 + 0*p**2 - 1\/180*p**6 - 8*p. Let g(o) be the second derivative of t(o). Factor g(b).\nAnswer: -2*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -95*t + 44*t + 50*t - 2 + 2. Let g(m) be the first derivative of -m**2\/2 - 1. Let o(h) = h - 2. Let r(f) = 2*g(f) - o(f). Calculate r(b) - 5*z(b).\nAnswer: 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/101748 and -29\/76311.\nAnswer: 305244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 3*m**5 + 120*m**4 + 804*m**3 + 1056*m**2 - 3264*m - 6144 = 0.\nAnswer: -32, -4, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -n + 324. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-11)*p)\/p)\/p)\/p*p**(-2\/37)*(p*p**(7\/6)*p)\/p**(-15) assuming p is positive.\nAnswer: p**(1135\/222)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -127627, -255205, -382783, -510361, -637939, -765517?\n\"Answer: -127578*b - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7228941, 7228948, 7228955, 7228962, 7228969?\nAnswer: 7228976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -p + 17, -3*p - 6*h = -2*h - 19 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 655 = -641. Solve 2*y + f*y - 3*i = -17, 0 = 3*y + 3*i + 18 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2449087, 2449088, 2449089, 2449090, 2449091, 2449092?\nAnswer: 2449093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that v**2 + 3400*v + 6796 = 0.\nAnswer: -3398, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 times 2988\nAnswer: -89.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*6)\/((489\/1304)\/((-3)\/42)).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/((5\/(-10))\/(4\/(-16))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 0.3, -14, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4439265 centuries to months.\nAnswer: 532.7118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 63.4 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -370062*d**3 + 191*d**2 - 402*d - 24528.\nAnswer: -2220372*d + 382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19208581 bigger than 19208583?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*c**4 - 8 + 3*c**4 + 7 + (2*c**3 - c**3 - 4*c**3)*(0*c + 0*c + 3*c).\nAnswer: -11*c**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 164.4 and 6154.\nAnswer: 1011717.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 1:50 AM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 10122?\nAnswer: 10201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 24*h - 25*h - 3 + 4. Let l(m) = -10*m + 8. Let s(r) = -3*l(r) + 24*o(r). Determine s(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 12:53 PM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of 3*p**6\/20 - 2*p**5\/15 + 9*p**2\/2 + 4. Let x(t) be the second derivative of l(t). What is the third derivative of x(m) wrt m?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11408646 and 102.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 145484 and 35816.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/72 (b) 1 (c) 5 (d) 70 (e) -89\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (280 - 274) + (-9 - (-3 - (1 + -3))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + (-30 - (7 - -23 - 19))?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/33 and -56\/14401305.\nAnswer: 158414355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 3.1. Let n = 0.4 - 0.3. Let d be -1 + 16\/(-6) + 3. What is the nearest to n in i, d, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of t**2\/2 - t + 2682. Let d(y) = -2*y - 1. Calculate -d(k) + 3*g(k).\nAnswer: 5*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 396030.\nAnswer: 2, 3, 5, 43, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.07 - 0.57. Let r be 184\/18 - (1 + 9). What is the biggest value in -2.2, a, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/4187 or 0?\nAnswer: -2\/4187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5111 - 5619. Is c at most as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2004 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*s + 6 = 31*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 4, -8 in decreasing order.\nAnswer: 4, -8, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, l: 2, w: 1, v: 1, t: 2, y: 1}. Give prob of picking 2 t and 1 z.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 + 8*j**2)*(-288*j - 753*j**2 + 290*j - 498*j**2) + (0*j**3 + 2*j**3 - 3*j**3)*(4*j - 3*j + 0*j).\nAnswer: -10009*j**4 + 16*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 7:56 AM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) + sqrt(847)*-1 + sqrt(847) + sqrt(847) + -4 + sqrt(847))**2 + 1*(sqrt(7) - (sqrt(252) + 3)).\nAnswer: -269*sqrt(7) + 7636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 21, 7, -39, -111, -203?\n\"Answer: y**3 - 22*y**2 + 45*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 36*w - 51. Let n(z) = -7*z + 10. Calculate 4*m(a) + 21*n(a).\nAnswer: -3*a + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 0.091837?\nAnswer: -0.275511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert b2 (base 12) to base 6.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 4 (b) 0 (c) -0.06 (d) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 374478 or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -31*c**2. Let l(b) = -6*b. Let a(h) = 50*h. Let x(q) = a(q) + 8*l(q). What is v(x(i))?\nAnswer: -124*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 12 - 20. Let f(c) = -7*c**2 - 7*c - 2. Let n(a) = 15*a**2 + 13*a + 5. Let v(i) = y*n(i) - 5*f(i). Find the second derivative of v(x) wrt x.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -1\/4*v**2 + 1 + v - 1\/2*v**3. Suppose y(a) = 0. Calculate a.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*(-5)\/(-10))\/((744\/(-512))\/31)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39 - -32. Let i = -1 - -1.2. Which is the third biggest value? (a) 0.4 (b) s (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*a = 169 - 50. Let c = a - -14. Solve h - c = -4 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 4*p**2 - p**2 + 0*p**2 + 0*p**2. Let t(d) = 9*d. Calculate b(t(w)).\nAnswer: 243*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 195789275041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -246 + 252.79. Let s = -4.79 + i. Put -0.5, s, -1\/6, -10.2 in ascending order.\nAnswer: -10.2, -0.5, -1\/6, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10306*q**3*u**2 + 2*q**3 + 8745*q*u**4 + 4*q*u - 41529499 wrt u?\nAnswer: -20612*q**3 + 104940*q*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + -8 - -2) + (-106 - -111).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39.51 + 39.508443. Round d to four decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gx when two letters picked without replacement from {x: 4, g: 9, s: 2, e: 4}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 240 and 170112560.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.1007, -0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 776\/970*(-120)\/(-28).\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 9*v**2 - 18*v - 7. What is g(-5)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -212 (base 3) in base 11?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-6))\/((-23)\/(-2277)). Let v = -28 + c. Suppose -8*i + 32 = -0*i. Solve -z + 5*x = -15, -v = z + x + i for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in 4, -5, 0, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.065 + -0.141. Let m = 51.389 - 51.1. Let p = f + m. Round p to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1676 + -1676.3. Put 3, p, -0.01, -0.1 in decreasing order.\nAnswer: 3, -0.01, -0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 1, -15, -4, -6, -0.5 in increasing order.\nAnswer: -15, -6, -4, -0.5, -2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j**4 + 15666844*j**3 + 164502512*j**2 + 454340816*j + 188003136 = 0. Calculate j.\nAnswer: -6, -4, -1\/2, 1958366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-14)*507150\/(-1725)*(-6)\/28.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3800604383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.16 + 0.24. Let a = y - 3.2. Let q = a - -2.7999765. Round q to 6 dps.\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 135*h + 665 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 423153.66 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 times 37731?\nAnswer: -415041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 156 = 2*w. Let m = 6 - w. Let q = m + -54. Does 11 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**3 - 20*b**2 - 770*b - 9461. Determine v(-12).\nAnswer: 355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*t + 107*t + 127*t.\nAnswer: 328*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 14*u**2 - 34*u + 9. List the prime factors of z(-16).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -5\/3, 2, 332\/5 in decreasing order.\nAnswer: 332\/5, 2, -5\/3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-108)\/(-63))\/(4\/98) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2 + 759747*y + 759748.\nAnswer: -(y - 759748)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6*(13 - 14)\/(-3). What is the nearest to 1\/2 in z, -0.1, 3\/5, 1.3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1000111012102112 (base 3) to base 9\nAnswer: -30435375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/12900 and -56\/3021575.\nAnswer: 1559132700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.35 + -1.15. Let v be 2\/(-1) + (-36)\/(-14). Which is the nearest to 0? (a) v (b) -1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(192)*2 + 2)**2.\nAnswer: 64*sqrt(3) + 777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -7\/2, 17187896.\nAnswer: -7\/2, -2, 17187896","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1604 - -9703\/6. What is the common denominator of -25\/968 and k?\nAnswer: 2904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3834 - -22927\/6. Calculate the common denominator of f and -133\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2923)\/(1738\/(-22)) - 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*z - 13*z. Suppose z = -11*a + 3*a. Suppose a = 2*c - 3*w - 16, -4*c + c = 5*w + 14. Solve -2*p = c - 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3156 or 3101458\/983?\nAnswer: 3101458\/983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 + 5 = -8*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2927*r. Let g(a) = 3400*a - 9. What is h(g(i))?\nAnswer: 9951800*i - 26343","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1200, 4, 11, -3, 3 in descending order.\nAnswer: 11, 4, 3, -3, -1200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 105\/(-60)*-4 + 4 + 1179234 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/4)\/(21\/28). Suppose 0 = 2*x - u + 6. Let o be (2 + -2)\/(1 + -6 - -4). Put -5, x, 7, o in ascending order.\nAnswer: -5, x, o, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-21)\/18))\/(2\/1)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*v**2 + 80*v\/3 - 8\/3 = 0 for v.\nAnswer: -2, 2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*n**2 + 2*n**2 + 17*n**2 + 4*n**2)*(-n**3 + 0*n**3 + 0*n**3).\nAnswer: -31*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39 and 53895.\nAnswer: 700635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.164 + 0.1526. Round h to 3 decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-3)\/((f*f*f*f*f*f*f*(f*f*f**1)\/f*f)\/f))\/(f*f\/f**(-2\/11)*f**3\/f*f))**(32\/9))**(10\/17) assuming f is positive.\nAnswer: f**(-6720\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 5906*z**2 + 519*z + 2564. Is h(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 - -6. Let f(t) = t**2 + 8*t + 7. Calculate f(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 374 and 132.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(120)\/sqrt(3) - sqrt(40))\/sqrt(8).\nAnswer: 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 times 0.64976\nAnswer: -0.0129952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (44\/6)\/(6\/9). Let y(m) be the first derivative of 7*m**2\/2 - 5*m + 2. Is y(u) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17803476 + -5.\nAnswer: -17803481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-3)*(78\/(-48))\/(-13)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.2 + -4.19999912. Round i to 7 decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/3495443 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - -8) + (1 - 0). Let z(d) = -d + 8. Let x be z(l). Suppose 3 = 5*o - x. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 15*w**2 + 7. Let q be o(-15). Suppose -3*d = -j + 8, q*j - 3*d + 20 = 2*j. Let h be 20\/(-70) + (-2)\/j. Solve -3*b - 2*b + 15 = h for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4824457 and 5263044?\nAnswer: 57893484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 2. Let s(t) = t**2 - 2*t - 4. Let b be s(4). Let z be (-108)\/n + b\/10. Calculate the highest common factor of z and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289 is divided by (4 + 10)*(105\/(-10))\/(-1).\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 4:19 PM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43 - 40. Let r(n) be the first derivative of -n**3\/3 + 7*n**2\/2 + n - 10. What is the lowest common multiple of f and r(6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/21 in 2, -555, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/10 or -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1935\/13 - 149. Let u = 3.3337 + -2.3337. Let y = 0.46 - 0.16. What is the third biggest value in y, u, q, -2\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -5, -190 in decreasing order.\nAnswer: 0, -2, -5, -190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 848407673 a multiple of 1268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3 - 10528536*c**2 + 13856121915930*c + 360266287139668.\nAnswer: 2*(c - 2632147)**2*(c + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 39 - 0 - (-18)\/(-6). Suppose 4*x = 68 + g. Does 10 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 114 - 101. Suppose -14*g = -h*g - 38. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 4*y**2 + 39*y - 88. Calculate l(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.90923 * -1567\nAnswer: -1424.76341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6104.188kg in micrograms?\nAnswer: 6104188000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 70182883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91686 = 88*z - 90630 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1)\/2*(5 - 175) is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 29*k - 25*k + 105*k - 26*k - 120*k**2 - 28*k as o + r*k + i*k**2 and give i.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -148530 divided by 9902\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/612 and (-2155)\/(-288) - 21\/3.\nAnswer: 4896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -3*l**5 + 3*l**4 + 51*l**3 - 159*l**2 + 168*l - 60 = 0.\nAnswer: -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1812 to 2 dps.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35 + 104\/3. Let s = 311 - 315. Let n be 1 - 57\/11 - s. Which is the closest to -0.4? (a) f (b) -4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.5 (b) -5 (c) -4\/3 (d) 2\/6629\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 34 - (208 - 207 - (6 - 3)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - d**3 + 10)*(10*d + 11*d - 9*d)*(-2*d + 4*d + 0*d).\nAnswer: -24*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yafaaawayafaaywyay. What is prob of sequence waa?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 + 1)*(-3 + 3 - 2)*(-3*p - 2*p**2 + 3*p).\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pyqprgrpqggp. What is prob of sequence ygr?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.142 to three decimal places.\nAnswer: -0.142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -r**3*y + r**3 + 2993*r**2 - r*y - 2*r - 66693*y + 1258 with respect to y.\nAnswer: -r**3 - r - 66693","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-2) + 2*(-17 - -14). Which is greater: -1107 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 25*f**2 + 258*f - 153. What is n(-33)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 5*k - 236, 859*k + 4*n + 192 = 863*k. Solve -20*z = k*z - 201 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29*l**3*v**3 + 105655091*l**3*v**2 + l**2*v**2 - 9278994*l*v**5 wrt v?\nAnswer: 174*l**3 - 556739640*l*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -j. Calculate the remainder when 250\/10 - (j + 0) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, h: 16}. What is prob of sequence lhlh?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0397 + -34.2603. Let k = b + 33.9. Let y = 173\/3 + -57. Put -1\/10, 3, y, k in decreasing order.\nAnswer: 3, y, -1\/10, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.07 + 0.01. Let b = 13.935 + -13.87503. Let o = h + b. Round o to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 158 + -54 + -99 - ((-1 - -1) + 19)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60043799?\nAnswer: 107, 281, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**2 - 45*o + 108. Determine h(20).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/66*-32*18\/84?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + n - 57. Suppose -o = -3*o + 70. Let d = o - n. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*n + 26*i - 30*i = 12*n - 238 + 15, 3*i - 171 = 3*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -19b + -27?\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -3, 0.193, -4679?\nAnswer: 0.193","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -309, -354, -395, -432?\nAnswer: -465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 162 and 2340?\nAnswer: 21060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7534*q**6 - 5768*q**3 - 2*q**2 + 1636472*q + 1?\nAnswer: 904080*q**3 - 34608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 141 = 3*q, 3*l - 5*q + 621 = 680. Calculate the highest common divisor of 2717 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*j - 31*j + 4*j - 6*j as x*j + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -328*c**2 + 328*c**2 + 371*c + 182*c**3.\nAnswer: 182*c**3 + 371*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 17468a (base 11) in base 4?\nAnswer: 1001311312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1421 + -54?\nAnswer: -1515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66 - (-17 + 53) - (30 + 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 15*m**2 + 7*m - 7. Let h(v) = -5*v**2 - 2*v + 2. Let k(w) = 21*h(w) + 6*i(w). Let q(y) be the second derivative of y**4\/12 + 8829*y. Give k(q(l)).\nAnswer: -15*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 936 and 1693536.\nAnswer: 5080608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + 1972*u - 1972*u. Let j(a) = -7*a. Determine j(p(f)).\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - u**2 + 1. Let k(l) = -51*l**3 - 11*l**2 + 4. Let z(g) = k(g) - 6*q(g). What is the third derivative of z(o) wrt o?\nAnswer: -270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**2 - 168*m - 3138. Determine y(-28).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1652 not equal to 1652?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37 - 39. Let r be 13\/3 - (o + -5 + 11). Which is the second smallest value? (a) 1 (b) 0.4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -148 (base 9) in base 11?\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 896 a factor of 10137984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.12 - -5.12. Suppose -3*y + s + 1 = 0, s + 3*s = 20. What is the nearest to -1 in b, y, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 0 = -2. Let s(x) = -25*x**2 + 11*x - 1. Let q(u) = -5*u**2 + 2*u. Let i(r) = b*s(r) - 11*q(r). What is the first derivative of i(a) wrt a?\nAnswer: 10*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-5)*(-10)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13407*q**2*r + 10445128*q**2 + 161*r wrt r?\nAnswer: -13407*q**2 + 161","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -27. Suppose 3*m - y = -2*m. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40*h**3*j + 6*h**3 + 10*h**2*j + 7*h*j + 5*h - 23*j - 10 wrt h?\nAnswer: -240*h*j + 36*h + 20*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -60\/19?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, i: 3, q: 1, z: 1, d: 2}. What is prob of sequence ziqi?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*c - 173 = -21*c - 53 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 607340569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 16*g - 680. What is f(-20)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 9*y**2 - y - 1. Let m be u(-9). Let p be ((-6)\/m)\/((-45)\/(-22)). Let f = -11\/15 + p. Calculate the common denominator of f and -31\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 715*z**2 - 354*z**2 - 359*z**2. Let x(t) = -157*t**2. What is v(x(u))?\nAnswer: 49298*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11263?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from cdcmmtddtdcdcmdcccdd?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/1 - 6\/(-2). Suppose -m*v + 4*v = 9. Let l = v + -9. Solve 0 = c, f + 4 = -l*f - 5*c for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -122623709\/14930 - 86\/1493. Let s = k + 8220. Calculate the common denominator of (0 - 2) + 25\/(-12) and s.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4575 divided by 5?\nAnswer: -915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2\/2 - 63*p\/2 + 57.\nAnswer: 3*(p - 19)*(p - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7212.\nAnswer: 2, 3, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 5*i**2 - 5*i - 5. Let p = 159 - 155. Suppose 4*m + 46 = -3*g - 2*g, -p*g - 28 = m. Let z(c) = -5*c**2 + 6*c + 6. Determine g*r(n) - 5*z(n).\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67153 is divided by 13417?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*z + 3421 = 1788*z - 133*z + 98947 for z.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**37*h**(-4\/5))\/((h**(-16)*h)\/h**(-14\/9)) assuming h is positive.\nAnswer: h**(2234\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -872 + 873 - ((-1)\/(-2) - 0). Let b(h) be the first derivative of 12 - 3\/4*h**4 + 0*h**2 - 6\/5*h**5 + 2*h**3 + 0*h + f*h**6. Factor b(v).\nAnswer: 3*v**2*(v - 2)*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 20*n**2 + 76*n - 24. What is q(23)?\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/5 - 24322*j\/5 + 291576\/5.\nAnswer: 2*(j - 12149)*(j - 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.04 or 13\/227?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*p**2 - 226*p**2 + 78*p**2 + 76*p**2.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 390?\nAnswer: -393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6005 is divided by 805?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 45281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 5*f + 5*n + 37, -3*f - n + 30 = 0. What is the greatest common factor of f and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (0 - -4) + -4 + 4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 374326186 to the power of 1\/3, to the nearest integer?\nAnswer: 721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 - 8*u**2 + (-u - 2*u + u)*(-4*u + 3*u + 2*u) - 2290*u**2 + 2139*u**2 - 1 + 2.\nAnswer: -161*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12567.\nAnswer: 3, 59, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/38, -2, 8.2, 4, 0.2, 2, 24.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -1\/8*s**2 + 2 + 1\/2*s - 1\/12*s**3. Factor z(f).\nAnswer: -(f - 1)*(f + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.2713061 and 0.\nAnswer: -3.2713061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 14. Let c(k) = 6 - 6 - r*k. Let o(v) = -4*v. What is o(c(f))?\nAnswer: 16*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 12:41 PM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 2980 = -l, 0 = -l - 11*p + 9*p + 2974. What is the thousands digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 186286602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -k**6\/360 - k**5\/40 - k**4\/12 + 10*k**2. Let i(t) be the second derivative of g(t). Differentiate i(j) wrt j.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {v: 4, x: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.425 at least as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifty-three quarters of a milligram?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 5*w + 2*w)*(-7*w + 9*w + 10*w + (2 - 1 + 4)*(-2*w - 2*w + w) - 5*w + 5*w - w).\nAnswer: -36*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3791 + -3788. Solve -20*h + 17*h = -3*b + 12, b + 8 = -f*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26105113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1\/1*1615 - 216\/(-27)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 13131140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-1\/5))\/(h*h*h\/(h*h**8\/h))*(h**(2\/5)\/h)\/(h\/(h*h**(2\/23)\/h*h)))**(-23) assuming h is positive.\nAnswer: h**(-608\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 6)*(1 + 2 - 2)*(58*b**2 + 29*b**2 - 65*b**2).\nAnswer: -132*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7561, -7057, -6553, -6049?\n\"Answer: 504*p - 8065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -132646072.4 and -0.4.\nAnswer: 53058428.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 6*l = -97 + 73, -3*b + 4*l = -26 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -75572166 by 12595361.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-449*d**2 + 421*d**2 - 24 + 88)*(4 - 2*d - 4).\nAnswer: 56*d**3 - 128*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 804\/(-108) + 2\/(-6) and 64\/15.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14)\/(-8)*2*1*-142. Let m = p + 740. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -17 - (-62 + (-23 - -72))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*d**3 - 198*d**3 + 105*d**3.\nAnswer: -208*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**4 + 10*t**4 + 3*t**4 + (-6*t + 5*t + 2*t)*(-33 - 16 + 5)*(3 - t**3 - 3) - t**4 + t**4 - t**4.\nAnswer: 57*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -8*a**2 + 21604*a - 10800 = 0.\nAnswer: 1\/2, 2700","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 4 + -10 - -12) + -7 - (-3 + 96).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 2. Suppose -3*n - 5 = -2*u + 3*u, 4*u + 3*n = 7. Calculate the remainder when b is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**4 - 67366*f**3 - 1132116721*f**2 + 81774509544*f - 1473514365456 = 0 for f.\nAnswer: -33719, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -54 + 28. Let c = v - -25.9996. What is c rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -564 (base 7) to base 15\nAnswer: -146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -679 + 78 = -r. Suppose 5*f + r = 6*f. What is the hundreds digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 539556 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 10\/7 (b) 3\/8 (c) 0.5 (d) 3 (e) -2672\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i = 45 - 29 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 s when two letters picked without replacement from {z: 4, s: 4, u: 8}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -5341 in descending order.\nAnswer: 4, -4, -5341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + 6868\/255 + (0 - (-28)\/(-12))?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 40*b**4 + 38*b**3 + b**2 - 91902?\nAnswer: 160*b**3 + 114*b**2 + 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212441 is divided by 23604?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -15389 rounded to the nearest one hundred?\nAnswer: -15400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2185.83603us in days?\nAnswer: 0.000000025299028125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooowwowooooooooooo. Give prob of sequence woo.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 1:41 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -307*p + 303*p = 3*m - 11787, -4*m = -5*p + 14664. What is the remainder when p is divided by 105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - -4) + 16 + 0. Suppose 0 = s - y - 87. Let a = 64 + -22. Calculate the greatest common divisor of s and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, 1\/2, 4 in decreasing order.\nAnswer: 30, 4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 138.1, -57?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2457, 2473, 2489, 2505, 2521?\n\"Answer: 16*b + 2441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a micrometer in nanometers?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g + 55*n - 59*n + 16, 3*g - 2*n + 8 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74904 is divided by 399?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 182040 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 7*u**2 - 4*u - 27. What are the prime factors of l(7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b + 0 + 1 - b. Let t(n) = 9*n + 8. Let r be (20\/7)\/(-31 - 70578\/(-2268)). What is r*o(c) - 3*t(c)?\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 742.56+7329\nAnswer: 8071.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 875653082?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 u when two letters picked without replacement from {e: 3, u: 2, w: 2, v: 3, t: 1, i: 4}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - (-4 + -1) - 0. Let o(a) = -a**3 - 8*a**2 - 3*a**3 + x*a**3 - 7*a - 8. Let f be o(9). Solve -u - f = u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -2*s - 3*q, -1291 + 1349 = s - 5*q for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 8, -5 in ascending order.\nAnswer: -5, -4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/w**(1\/36)))\/w)\/(w\/(w\/w**(-8\/3))*w)*(w\/(w*w\/w**(-1\/42)))**1 assuming w is positive.\nAnswer: w**(-83\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 7, 4, -1, -3, 2521 in decreasing order.\nAnswer: 2521, 7, 4, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -i - i - 10, -5*o - 25 = -2*i for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/4*-2*3. Suppose -2 = -2*c, -z*y + 3*c = y + 11. Let b = 3 - y. What is the remainder when 8 is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-3)*4\/(-21)*3408\/2272\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0829*0.08.\nAnswer: 0.006632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 361 + 179 = 0. Does 18 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-53)\/212*4\/(-5)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69 and 3236169?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(144\/(-616) - ((-36)\/(-42) + -1))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, m: 4, k: 9, e: 1, u: 1}. What is prob of sequence ne?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -1, 0.31, -131, 0.1?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gilb when four letters picked without replacement from glllgliioblloibgil?\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 1920?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13080?\nAnswer: 2, 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 137 and 43429?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbrz. Give prob of sequence zr.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 799892 is divided by 199813.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2*h - 1 = 0, 3*o = -0*o - 5*h - 11. Solve o*y + 4 = 2*t - 3*t, -t + 2*y = -11 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**5 - 3*v**5 - 2*v**5 + v**5 + v**5 - v**5 + (-v + 0*v + 2*v)*(2*v**2 + 2*v**4 - 2*v**2).\nAnswer: -5*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 743232 is divided by 92901.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12545 + 34881. What are the prime factors of d?\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 3*m = -7, 0 = 10*f - 8*f - 4*m + 6 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-10))\/(12\/(-24))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09098742 times -0.3?\nAnswer: -0.027296226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 5\/41844 (c) 3 (d) -21\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6\/15*(-280)\/56*(-6)\/4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1512876?\nAnswer: 2, 3, 139, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - 13*l + 5. Let p be u(-13). Solve -3*a + 16 = -0*a + p*y, -24 = 3*a - 3*y for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 146\/135 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -m**4\/4 - 2*m**3\/3 + 4*m**2 + 4*m - 1. Let b = -31019 + 31015. Determine f(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-8 - -3) + 1 + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 33185896?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -y + y - 4*y + 29 + 25*y - 29 + (-y - 2*y + 0*y)*(-1 + 0 + 3) + y + 4 - 4 in the form g*y + s and give g.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.214624 times 0.2?\nAnswer: 0.2429248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-241)\/3*1 - 8\/12. Let p be (-5)\/(5\/2)*(z - -1). Let r = p - 94. Calculate the greatest common factor of 11 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8938*l**3 + 9173 wrt l.\nAnswer: 26814*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -11*g - 3. Let d(l) = 12*l + 4. Suppose 3*y + 0*o + 2*o + 11 = 0, 2*y + 4*o + 2 = 0. What is y*s(n) - 4*d(n)?\nAnswer: 7*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(8)\/sqrt(4) + 4)**2.\nAnswer: 2*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*(-88)\/(-480)*6)\/(2\/(-2))?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1088\/3*t + 73984\/3 + 4\/3*t**2 = 0. What is t?\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33 + 35. What is the third derivative of -8*z**6 - 2*z**2 - 4*z**6 - 3*z**w - 9*z**2 wrt z?\nAnswer: -1440*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3\/2, -3.12 in increasing order.\nAnswer: -5, -3.12, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-732)\/(-1708))\/(555\/(-35)).\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 12:02 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uiiiuu. What is prob of sequence iuu?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cqqsqbsyjsc. Give prob of sequence bj.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -8*a + 68*a**2 - 5*a**3 + 9*a - 68*a**2. Determine j(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 229 and 1832.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 + 45. Suppose 6*a + d = 10*a. What is the highest common factor of a and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 - 121\/4. What is the biggest value in 4, -0.3, s, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 0, 29, 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a century in decades?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3454*p + 165446 + 17616 for p.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 56965 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 72526 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4771, -9521, -14271, -19021?\n\"Answer: -4750*f - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 38*b - 207. Give o(6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 85138, 85078, 85032, 85006, 85006?\n\"Answer: c**3 + c**2 - 70*c + 85206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 1:06 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1802502 (base 11) in base 14?\nAnswer: 59a4aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1432*f**3*o - 28*f**2*o + 29246473*f*o wrt f.\nAnswer: -8592*f*o - 56*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 5:33 PM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 + -45 + 0 + 7 - 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6040 divided by 1510.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -4*x + 1. Let b(t) = -3*t + 2. Let g be b(1). Determine w(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -7*c - 1. Let u be q(2). Let b be u\/12*(-8)\/(-1). Is 6 a factor of ((-5)\/b)\/(2\/68)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v + 13*v + a - 4 = 0, -4*v = -a - 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -61920 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 12*a**3 + 12*a**2 + 9*a + 1. Let o be i(5). Let x = o + -7483\/4. Let t = 1633\/8 + -803\/4. Calculate the common denominator of x and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 291, 359, 477, 651, 887, 1191, 1569?\nAnswer: 2027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11166?\nAnswer: 2, 3, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3796 and 367117?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -184?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, o: 2, c: 5, v: 2}. Give prob of sequence kkc.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**3 - 170*l**2 + 12766*l + 96. Calculate r(48).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 29*v**2 - 21*v - 82. Calculate y(-3).\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = g, -2*x - 4*g + 553 = -291. Suppose x*f = 431*f - 23300. Round f to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9449000 to the nearest 100000.\nAnswer: -9400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 8:47 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-6))\/((-2)\/6)*19. Let d = l - -40. Differentiate -5*k**2 - 9*k**2 - 19 + k**d + k**2 wrt k.\nAnswer: -24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -5*k**3\/3 + 10*k**2 - 15*k - 15. Factor u(v).\nAnswer: -5*(v - 3)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (23\/(-8) - -3) + (-71991)\/(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 5*u**3 + 9010*u**2 + 53800*u - 143680 = 0.\nAnswer: -1796, -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 3*a - 2 - 1, -2*a = g + 8. Let c(o) be the second derivative of -o**3\/2 - 9*o**2\/2 - o + 34. Give c(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-3\/4)*p**(-2\/3))\/((p**(5\/4)*p)\/(p*p*p\/(p\/((p**(1\/3)\/p)\/p)))))**(2\/47) assuming p is positive.\nAnswer: p**(-14\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 921.523.\nAnswer: 2764.569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-4)\/(-4))\/(17\/1)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 468\/65*(-10)\/2. Let o = -44 - g. Let w be o\/33*(1\/(-2) + 1). Is w < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 944043 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -14*v**2 - 569*v + 12. Let p(r) = r**2 + 17*r - 2. Determine -b(j) - 6*p(j).\nAnswer: 8*j**2 + 467*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 5*t - 2*t + 303, -t = 2*g + 95. Let r = t - -102. Find m such that 4*m**3 + 45*m + 8*m**r + 30*m**2 - 7*m**3 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 189 and 57?\nAnswer: 3591","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11220202 is divided by 121?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5185 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -157*-5\nAnswer: 785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of l**7\/21 + 81*l**5\/20 - 94*l**4\/3 - 59*l + 9. Find the third derivative of a(k) wrt k.\nAnswer: 120*k**2 + 486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/36*(-87)\/(-1450).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence saas when four letters picked without replacement from {e: 7, s: 9, a: 2}.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-3)\/(-45)*6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + 29. Is a a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5*((-36)\/10 + 4). Let t be y\/24 + (0 - (-1)\/3). Sort 3\/2, -12, t in increasing order.\nAnswer: -12, t, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + t**2 - 4*t + 10. Let o be g(-3). Solve -5*i + 5 = -2*p, -i - o*p + 5 = 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (18\/12)\/((-1)\/2). Let s = f + 22. Let g = 74 - s. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 = -4*w + 3*m, 5*w - 188 = 2*m - 36. Let c be 2*(-2 + 1)*w\/(-6). Solve -4*b + c = -5*q + b, -2*b = 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_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: Let f be 4*(1 - 3)*-1. Suppose -2*q - f = 0, -q = 2*d + 3*q. Find the common denominator of ((-1)\/(-9))\/(d\/(-212)) and 93\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 46*p. Let v(f) = -25*f**2. Calculate y(v(g)).\nAnswer: -1150*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 14*g + 41. Let l be y(23). Let d = l - 358. Solve 6*m = 4*m, -5*h - d = -4*m for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 3*c + 14. Let o be i(0). Let t = 15 - o. Factor -3\/2*m**2 - t + 5\/2*m - 1\/2*m**3 + 1\/2*m**4.\nAnswer: (m - 1)**3*(m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -28*(3\/6 + -1). Suppose -f + k = -33. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4*(-2*sqrt(19) + sqrt(19)) + -1*sqrt(76)\/sqrt(4))**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s - 26. Let r(g) = 14*g. Give r(p(i)).\nAnswer: -28*i - 364","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 61360103?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 205*t*y**5 + 2*t*y + 2*t + 6473*y**4 + 2*y**2 - 399*y - 18 wrt y.\nAnswer: 4100*t*y**3 + 77676*y**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 847\/(-275) - -4*33\/44.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + 1 + sqrt(68) - sqrt(68)) + -2)**2*5 - ((sqrt(17) + -2)**2*-1 + -1*(sqrt(17) + 1) + sqrt(17)).\nAnswer: -24*sqrt(17) + 367","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 9:55 PM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 6528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 11:21 PM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*y = -3*d + 15*y - 73, 25*d - 101 = -4*y for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 57888 and 16437.\nAnswer: 317168352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((3 + sqrt(252) + 0 - sqrt(252))**2 + (-4 + 1 + sqrt(252) - sqrt(252))**2 + (2*-2*sqrt(252) + -5*sqrt(252)*1)**2)*-5.\nAnswer: -612900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - 6*k + 6. Let m be c(5). Suppose m = -4*w + 21. Let s = -2935 + 3030. Calculate the greatest common divisor of w and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 160607\/5170 - -18\/517. Let b = a + -31. Let o = 316\/105 + -22\/7. What is the biggest value in 1, b, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -5*l**2 - 2*l. Let f(d) = 36*d**2 + 15*d. Let i(j) = -6*f(j) - 45*n(j). Let m(p) be the second derivative of -p**4\/6 - 3*p. What is i(m(y))?\nAnswer: 36*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -123*y + 1069 - 1069 in the form b*y + m and give b.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*p - 22*p + 20. Suppose 4*o + 3*s - 330 = 0, 3*s + 2*s + p = 0. What is the remainder when o is divided by (4*-11)\/((-12)\/6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 0*k + 0*k + (1 - 4 + 1)*(8*k - 6*k - 25*k))*(-3*k**2 + 13*k**2 + 7*k**2).\nAnswer: 816*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/2)\/(((-6615)\/486)\/49)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 11*d + 9. Let c be y(-8). What are the prime factors of (2 + 3)*(-6)\/c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/36*(6\/(-4))\/(9\/(-4))?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -12, 1\/3, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5\/364566 (b) 2\/15 (c) 0.4 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188197506.\nAnswer: 2, 3, 7, 67, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence br when two letters picked without replacement from {w: 2, x: 6, n: 4, b: 2, r: 1, z: 2}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13403 + 10?\nAnswer: -13343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146*z + 31648 = -123*z. What is the highest common divisor of 2236 and z?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.9735 to one decimal place.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 994 times -5\nAnswer: -4970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/5)\/4*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + 3*d + 2. Let n be w(-5). Let l(x) = x**2 + 4*x + 18. Let m be l(-6). Calculate the highest common divisor of n and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 236672107?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 10:16 AM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - i - 3. Let c be z(4). Let v = 9 - c. Solve 5*o + v*l - 2*l = -9, 5*o + 13 = 4*l for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1966 - 50526 = -16*q. What is the hundreds digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of r**5\/20 + r**3\/3 + 4*r**2 - 158*r. Give p(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 3)*(5*o - 4*o - 3*o) + (1 - 1 + 2)*(71*o - 82*o + 75*o).\nAnswer: 124*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 313648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + -2. Let a(q) = -q**3 - 6*q**2 + 9*q + 7. Let n be a(c). Let f = -28 - n. Does 7 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*u + 1. Let f be 1\/(3 - (-7)\/u). What is the remainder when 102*(14\/6 + f) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -1301*z**4\/4 - 7*z**3\/3 - 25*z**2\/2 + 2*z + 675. What is the third derivative of f(v) wrt v?\nAnswer: -7806","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + t**2 - t + 2. Let z be j(0). Solve -z*c - 1 = -5 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7573656 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -33110101 (base 4) to base 6\nAnswer: -1202241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2918.18 and 0.08.\nAnswer: 233.4544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2 = -2*m, -43*q - 5*m = -44*q - 5. Solve q = -4*b, a + b - 22 = -23 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 6*s - 4. Let i be c(8). Let b be i\/(-25)*(-105)\/(-6). Suppose 0 = -f + b + 23. What are the prime factors of f?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13065)\/2010*(-950)\/(-65)?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f + 2. Let t(u) = -u - 1. Let w(g) = 4*c(g) + 5*t(g). Calculate w(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of k**6\/270 - k**5\/27 + 2*k**4\/27 - 41*k**2 - k. Find r such that m(r) = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*g**4 - 7649*g**3 + 222944*g wrt g?\nAnswer: -108*g**2 - 45894*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jppja. Give prob of sequence pa.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 130*g - 119*g - 34067. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -9*j + 36. Suppose 0*s = -k + j*s + 38, 91 = 2*k + 5*s. Suppose g = 4*g + 3*t - 81, -5*t = g - k. What is the highest common factor of g and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 197799\/20 + -9896. What is the common denominator of 23\/22 and n?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(567)*-1)**2 - (sqrt(567) - 4*(sqrt(567) + -1)) - (sqrt(28)\/sqrt(4)*-3 + sqrt(63)\/(sqrt(36)\/sqrt(4)))*-2.\nAnswer: 95*sqrt(7) + 579","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/(14\/12*(-2)\/28). Calculate the remainder when 136 is divided by (-48)\/p - 694\/(-18).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.32 - -0.274. Let o = z - -0.488. Let r = o + -0.38. Round r to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 13*d + 2. Let j be z(13). Solve u + 2*y = -j*y - 12, 0 = -3*y - 9 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i - 3*i + 7*i - 9082 + 9082 - 117*i + (1 - 2 + 0)*(i - 3 + 3))*(0 - 2*i + 0 + (3*i - i - 4*i)*(5 + 0 - 3)).\nAnswer: 702*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**2 + 86175876*h - 172351760 = 0.\nAnswer: -43087940, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 27 = 5*c, 2*c - 19 = -3*r - 4. Suppose 5*d = x + 1305, -4*d - 37 = c*x - 1100. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 4)*(0 + 3 - 5)*(3*f + 0*f - f).\nAnswer: -16*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6018781.\nAnswer: 6018781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19698 - -19703. Let w = -0.2 - -2.2. Sort -3, w, c in increasing order.\nAnswer: -3, w, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -25402135 + -134?\nAnswer: -25402313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**5 - i**3 - i**2. Let f(k) = 12*k**5 - 66*k**4 + 68*k**3 - 36*k**2 + 4*k. Let l(v) = f(v) - 6*z(v). Determine a so that l(a) = 0.\nAnswer: 0, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1)*(g*(g*(g*g*g*g*g\/(g**(-4)*g)*g)\/g)\/g)\/g*(g*g\/(g\/(g\/(g**(-1\/2)\/g))))\/(g**(-5)*g*g)*((g**(-4))**(-42))**(6\/7) assuming g is positive.\nAnswer: g**(315\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -45*k**4 + 63*k**2 + 215*k. Let y(t) = -15*t**4 + 22*t**2 + 72*t. Let a(p) = 8*y(p) - 3*z(p). What is the second derivative of a(i) wrt i?\nAnswer: 180*i**2 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156 = -29*z + 32*z + 4*m, -5*z - 2*m = -274. Calculate the highest common divisor of 28 and z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -x**4\/24 - 5*x**3\/6 - x**2\/2 - 20*x + 252. Let i(j) be the second derivative of f(j). Determine i(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4*q + 4 = 0. Let i(k) be the second derivative of -2*k**3\/3 + k**2 + 157*k. Is i(q) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**4 + l**4 + 4*l**4 + l - l + 3*l**4 + (l - 2*l**2 - l)*(l**2 - 4*l**2 + 4*l**2) + (4*l**2 - 4*l**2 - 3*l**2)*(0*l**2 - 3*l**2 + 0*l**2).\nAnswer: 16*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 731 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 98867573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -896265, -896304, -896369, -896460, -896577, -896720, -896889?\nAnswer: -897084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of 35*v**4\/4 + 2*v**2 - 281*v + 72. What is the first derivative of c(f) wrt f?\nAnswer: 105*f**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6332364134 + -4?\nAnswer: -6332364141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (72\/(-96))\/((-5)\/(-4)*(-48)\/40)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18682824?\nAnswer: 2, 3, 373, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7.873 greater than 253?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 242*x**3 - 1220142*x**2 + 1537351008*x + 1538571392.\nAnswer: 2*(x + 1)*(11*x - 27736)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 109385 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*z + 48*z - 446865 = -5*z. Calculate the highest common divisor of z and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4881, -9799, -14705, -19593, -24457, -29291?\nAnswer: -34089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.09277679 to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -5. Suppose 0 = -4*n + w + 146, q*n - 121 = -n - 5*w. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x**2 + 41934*x - 10*x**2 + 24*x**2 - 8*x**2 - 41934*x.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24656 and 3680.\nAnswer: 246560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27101 = -17*j + 51339 - 10627. Calculate the remainder when j is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 111*o + 1668. What is i(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*a + 201. Suppose -6*b + a = -5*b. Suppose 59 + b = 4*v. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 3*b = -94 + 3, b - 67 = -3*h. What is the greatest common factor of h and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 71469540 to the nearest integer?\nAnswer: 8454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2488 and 996444?\nAnswer: 1992888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = n - q, 4*n + 44 + 3 = 3*q. Does 12 divide (1 + 0)\/1 - n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 10*z**2 + 3. Let h be a(-10). Suppose -h*j - 2*g = 26, 3*g + 2*g = -20. Does -4 = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3*k**2 - 293*k - 2321. Determine g(-9).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1880356961 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -109975*l**3 + 163969.\nAnswer: -329925*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1794\/91 + -30 + 12?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - 0 - (6 + -1). Let a be (h\/(-3))\/((-2)\/(-3)). Let n be (a\/(-4))\/((-4)\/104). Is 13 != n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 73407 + -73408. Let z(u) = -7*u**2 - 5*u + 8. Let d(h) = -14*h**2 - 9*h + 15. Let q(c) = 6*d(c) - 11*z(c). Calculate q(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -391*h + 14377 = 4211. What is the remainder when 981 is divided by h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-8) - (-22)\/8. Find p, given that -p**2 + j*p - p**2 - p**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14231022331 + -12?\nAnswer: -14231022343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a**2 + 83862*a + 1758208761 = 0. Calculate a.\nAnswer: -41931","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 1 = -4*a. Suppose -5*b + 22 = -4*c, -4*c - 5 = -a*b + 11. What is the third derivative of h**4 + 2*h**2 + 3*h**2 - 2*h**4 + h**b wrt h?\nAnswer: -24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 10 - (-14 + -6 + 27)) + -12?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.91273238 rounded to 0 dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 478 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**3\/9 - 3178*n**2\/9 - 237524*n\/9 + 2994640\/9 = 0. What is n?\nAnswer: -82, 11, 1660","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2924\/10185 - -2\/1455. Is -2207 <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*d - 115 = b - 9*d, 3*b - 2*d - 5 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 39744 and 336.\nAnswer: 278208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 5*g + 16, 2*k - 19 + 5 = g. Let j = -13 + k. Let u be j\/(-10)*(-25)\/(-35). Which is the nearest to u? (a) 1 (b) -0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -5*a - 2*i, -14*i = a - 319 + 332 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 - 20. Factor g*m**2 + 389 - 389 - 8*m.\nAnswer: 4*m*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10003 - -314?\nAnswer: 10320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14465.2 - 14466. What is the third biggest value in -33, q, 0.3?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 3*n - 9. Let m(w) = -3*w**2 - 10*w + 28. Determine 4*m(o) + 13*z(o).\nAnswer: o**2 - o - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -11 - (-28 + 29 - (-2 - -5)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 50 - 15. Is 17 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pzzp when four letters picked without replacement from pzzppzzpzzpp?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1318, 1292, 1240, 1156, 1034, 868, 652?\nAnswer: 380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -2*l**3\/3 - 7*l**2 - 11*l - 16. Let q be m(-6). Solve -5*z - 17 = -a + q, 2*a = 3*z + 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.086816 to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3918 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - (0 - -11)) + 1 - (-1 - 1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 - 2*p + 8. Let n(b) = 3*b**2 - 5*b + 23. Let w(v) = 4*n(v) - 11*r(v). Determine w(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3815169879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 590 is divided by 288.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -412*p**5*t + 4*p**5 + p**3*t + 177*p**2*t - 2*p*t - p + 12*t wrt p.\nAnswer: -24720*p**2*t + 240*p**2 + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 135*g**2 + 10*g + 1347. Determine r(-135).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 715809 (base 10) in base 7?\nAnswer: 6040623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 + -2)*2\/(-15). Let n = -1 - -0.6. Let q = -0.6 + n. Which is the third biggest value? (a) i (b) -4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 - 15*q - 8. Is 10 a factor of z(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252074196 to the power of 1\/3, to the nearest integer?\nAnswer: 632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -a6 (base 13) to base 5\nAnswer: -1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 7*m**2 - 11*m + 74. Is z(7) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(882))\/((sqrt(600) - (sqrt(600) - 1*sqrt(600))) + sqrt(600))*-3.\nAnswer: -63*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4000134 and 45560.\nAnswer: 5360179560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -102862e (base 16) to base 12\nAnswer: -5810926","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2137 at least as big as 2136?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eooeeeooeeoooe. Give prob of picking 2 e.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 3:46 PM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14449 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45*g**5*p + 3*g**3 + 152*g**2*p + 24036*g*p + 3*g wrt g.\nAnswer: 900*g**3*p + 18*g + 304*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g + 6. Suppose -6*f + 3*f = 18. What is j(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hjjjqhhhfq. Give prob of picking 2 h.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 352*v - 692*v + 48 + 294*v - 2*v**2 = 0.\nAnswer: -24, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -91 + 181. List the prime factors of n.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 0.3, 3, -0.5, -2\/5, 5 in descending order.\nAnswer: 10, 5, 3, 0.3, -2\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2030036 divided by -53422\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 z when four letters picked without replacement from zvgzzgg?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 825.3372 grams to nanograms.\nAnswer: 825337200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.614588 centuries to decades.\nAnswer: 6.14588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*i**2 - 58*i**2 + 113*i**2.\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -592906060*r**5 - r**3 + 16568028*r**2 wrt r.\nAnswer: -35574363600*r**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccjlssjqc. What is prob of picking 2 j and 2 c?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*s - 7*s - 15 + 7*s**2 + 1641*s**3 - 4*s**4 + 6*s**4 - 1640*s**3 in the form q*s**4 + x*s**3 + m*s + c*s**2 + k and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 937176 and 135.\nAnswer: 42172920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*r = -3890. What are the prime factors of r\/(-18) - 30\/135?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 3*y**2 + 2. Let o be d(3). Does 11 divide ((-1)\/o)\/(4\/(-88))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1692356926?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 2045321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 3, 1, 5 in decreasing order.\nAnswer: 9, 5, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11991 and 6456297.\nAnswer: 1713","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 599454 is divided by 28531?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + 0 + -8 - (1 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 8*t + 8. Suppose 4*z = i - 6*i + 60, -10 = 2*z. What is the remainder when 44 - ((-1)\/(-1) + t) is divided by i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.8*-0.04840311.\nAnswer: -0.038722488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 10:36 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1011010 (base 2) to base 14\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1)\/3)\/((-7)\/(-427)))\/((-311)\/(-933))?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 2, -58, -52 in ascending order.\nAnswer: -58, -52, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75)*-3 - sqrt(21)\/(sqrt(7) + (sqrt(7) - sqrt(252)) + sqrt(7))) + (sqrt(18)\/(sqrt(6)*3) - -5*(-4 + sqrt(3))))**2.\nAnswer: 1120*sqrt(3)\/3 + 1984\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19751279?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 14) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.184 in -1\/3, 1, 0, 41, 5, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 4*k**5 - 26260*k**4 + 46556284*k**3 - 11124031804*k**2 + 43521174208*k + 54691788560 = 0?\nAnswer: -1, 5, 277, 3142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of -z**4\/12 + 35*z**3\/6 + 36*z**2 + 159*z - 5. Calculate t(37).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -510 - 165 = -57*g + 9 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/49 and -69\/201565.\nAnswer: 1410955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, f: 1, e: 7, u: 5}. Give prob of sequence ueef.\nAnswer: 35\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3 + 9*y - 6.\nAnswer: -3*(y - 1)**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 26.\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -5006*f - 312. List the prime factors of p(-6).\nAnswer: 2, 3, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 + 851 - 419 - 432.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 768 + -762. Suppose 0 = 4*i + 20, -3*i = 3*h - k*i - 870. List the prime factors of h.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2 - 84*s - 103*s + 185*s - 2. Let y(v) = 6244*v. Calculate u(y(r)).\nAnswer: -12488*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10152570 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - (-3 - (-12 - 1)))\/(-2). Suppose -8 = -c*w + 8. Let l(g) = g**2 + 12*g + 49. Calculate the least common multiple of w and l(-9).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13701330 and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 2. Let m(s) = s**2 + 11*s - 19. Let i be m(-12). Sort i, a, 4.\nAnswer: i, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5244662 or -5244666?\nAnswer: -5244666","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3 = 5. Let s = -38 + 2. Let n = s - -58. What is the smallest common multiple of b and n?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 - 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -2, -25, -1, -69 in ascending order.\nAnswer: -69, -25, -5, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r. Let v(s) = s**2 + 1. Let k(n) = -32*n**2 - 4002 + 0*n + 4010 + 0*n. Let z(c) = -5*k(c) + 40*v(c). What is q(z(m))?\nAnswer: -200*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 4 (b) 3\/4 (c) 271\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aereeaerq. What is prob of sequence eaa?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vkn when three letters picked without replacement from {v: 1, n: 4, k: 9, y: 1, r: 3}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 180134?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 86*n**2*r + n**2*x**3 - n**2 + 27*n*r*x**2 + n + r*x**3 + 3*r*x wrt n.\nAnswer: 172*r + 2*x**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -968 + 968 - 823*h**2 + 739*h**2.\nAnswer: -84*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*1)\/(6\/(156\/2)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*y + 5010 = 268*y - 5040 for y.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(1\/4)\/(o*o*o**(-5\/2))*((o**(-5)*o)\/o*o)\/o**(-7) assuming o is positive.\nAnswer: o**(15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 1261*h = -1256*h + 60, 4*d + 6 = 2*h for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 28*p + 62 = 0. Let r = 0.63 + -1.63. What is the third smallest value in p, -7, 3\/7, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4195.776 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 593\/((-808852)\/(-992))*3\/(-2).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -103 and 1715.\nAnswer: -176645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2*w = 3*w - 70, 10 = 2*w. Solve -5*g - h = -2*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*h**4 - 3099*h**2*j*k + 2*h*j + 3*j*k - 7*j - 7*k + 4 wrt h?\nAnswer: -16*h**3 - 6198*h*j*k + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113103 + -1111?\nAnswer: 111332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -373, -2473, -8025, -18757, -36397, -62673, -99313, -148045?\n\"Answer: -288*k**3 + 2*k**2 - 90*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 3 = -4*z. Suppose 0 = 2*q - 5*j - 24, 19 - 1 = 2*q - 2*j. Calculate the remainder when q is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 0.255, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of 7*j**4\/24 - j**2. Let o(m) be the second derivative of 13*m**3\/6 - 6*m. Give -11*d(u) + 6*o(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k - 4. Let c(q) = -2*q + 7. Let l(a) = 10*a - 33. Let j(m) = 6*c(m) + l(m). Calculate -13*h(o) - 6*j(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/45 and 1\/25.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2111 = 1623*l - 45932 for l.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 53*i**2 - 334*i + 129. Determine p(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 717*a**2 - 97 + 782*a**2 + 589*a**2 + 3*a - 1041*a**2 wrt a?\nAnswer: 2094","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5789 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1164 + -798. Let v = 365.771 - z. Let o = -1.899 - v. Round o to one decimal place.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 231677 + -733?\nAnswer: 230744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, v: 6, o: 1}. Give prob of picking 3 v.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3101 + 5.3599. Let w = -5 - -5.67. Let r = w - v. What is the closest to -3 in -5\/2, -2, r?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011000100011 (base 2) to base 10.\nAnswer: 5667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 3:49 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**3 + 396*x**2 + 399*x - 244. Give y(199).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 - ((-15 - 1) + 3). Suppose l*m = 5*m + 45. Is 3 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-94)\/(-3))\/((-4)\/(-6)). Suppose -7*l = -2*r - 3*l + 68, 5*l = -3*r + u. Let y be (2\/(-5))\/(r\/(-20)). What is the third smallest value in 0.3, y, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**2\/4 - 4096948*n - 16784982914704 = 0.\nAnswer: -8193896","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -6659 * -8\nAnswer: 53272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-48)\/(-20))\/(36\/60). List the prime factors of -2*((-5885)\/198 + b\/18).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 + -9. Let h = v + 45. Suppose -7 = -5*y + h. Solve -y*i + 15 + 0 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from vvf.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1268 equal to -1267?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 60265 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19*w**2 + w - 8 - w wrt w?\nAnswer: 38*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -8*z**2 - 6. Suppose -12*q = -7*q + 20, 3*q + 18 = 2*j. Calculate x(j).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 15*s**2. Let m(y) = -2*y**2. Let q(a) = -20*m(a) - 3*v(a). Let d(n) = -n**2. Give q(d(c)).\nAnswer: -5*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 119070 + -119070.00115822. Round d to six decimal places.\nAnswer: -0.001158","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -2*m**5\/3 + 1452*m**4 - 3162454*m**3\/3 + 255103332*m**2 + 1054152*m - 255104784 = 0.\nAnswer: -1, 1, 726","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + (2 - (-23 - -54)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 981?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*c**3 + 9*c**2 + 5*c**3 + 3*c**3 - 4*c**2 - 8*c**2 + 54 to the form x + l*c**3 + w*c**2 + a*c and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4\/5 + 18*t**3\/5 + 12*t**2\/5 - 32*t\/5.\nAnswer: 2*t*(t - 1)*(t + 2)*(t + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 408 and 6659988.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -5*s - 132. Let f be h(-30). Suppose -7432 - 15554 = -f*m. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 11771 - 39919 = -36*o. Is o a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1351008*k**2*y**3 + 10*k**2*y**2 + 25*k**2 + 3*k*y**2 + 2*k*y - 2*y wrt y?\nAnswer: 8106048*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*(s*s**(-8)\/s)\/s)\/s*s*s*s\/(s*s\/s**25)*s assuming s is positive.\nAnswer: s**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -6*i**2 + 47. Let u(v) be the third derivative of -3*v**4\/8 + 4638*v**2. What is x(u(f))?\nAnswer: -486*f**2 + 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 139*n + 0*n**3 - 11*n**2 - 140*n + n**3 in the form u*n + o + m*n**2 + a*n**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2*u + i = -52, 3*u = 3*i + 24. Suppose 4*h = u*h - 2996. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (59\/(-3))\/(1\/3). Let v = p + 85. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 253420, 1.\nAnswer: -18, 1, 253420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3916?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 223087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -12*z + 42. What is q(9)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 5*r**3 + 2*r**2 - 3*r - 3. Let n be i(-2). Let m = -14 - n. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -45451940 to the nearest 10000.\nAnswer: -45450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -53424, -106921, -160444, -214005, -267616?\n\"Answer: -2*a**3 - a**2 - 53480*a + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -12*r + 21*r + 195*r**2 - 194*r**2 + 17. Determine b(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -173600000 rounded to the nearest 1000000?\nAnswer: -174000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**2)**41\/(h**(-1\/2)\/h)**(9\/2) assuming h is positive.\nAnswer: h**(355\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/4 + 3*b\/4 - 7.\nAnswer: (b - 4)*(b + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-120)\/28 + (-8)\/(-28). Put 6, -1, l in descending order.\nAnswer: 6, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 37 = 5*b, 2*k = -3*b + 24 - 1. Suppose 0 = 3*m + n - 8, 3*m = -4*n - k. Solve t - m = -0*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - 23281*z + 3354688. Calculate n(145).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 65 - (-38 - 17).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -2*o + 5*m, 2*m = -15*o + 11*o - 22 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1213, 2\/7, 1, -5 in ascending order.\nAnswer: -5, 2\/7, 1, 1213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 247 - 251. Let r be ((-10 + 5 - -5)\/2)\/i. Solve -4*k + r = -20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 9*g - 9. Suppose 5*d - 55888 = -3*z, -5252 + 38788 = g*d + 5*z. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*k**3 - 28080*k**2 - 2568620*k + 5249520 = 0. Calculate k.\nAnswer: -92, 2, 5706","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11082830?\nAnswer: 2, 5, 11, 53, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvn when three letters picked without replacement from ecnccnvccnenxncvcnnn.\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 925815346 to the nearest integer?\nAnswer: 975","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47 - 23. What is the smallest common multiple of k and 11?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -198270028 divided by 92\nAnswer: -2155109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4691754*z - 22597508 with respect to z.\nAnswer: -4691754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 39*v - 11*v - 56. What is the tens digit of (v\/2 + -3)*-41?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4256.2397 rounded to the nearest one hundred?\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 1411244.\nAnswer: 15523684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5*g + 3 = 0, 4*j + 4 = -g + 5*g. Put -5, j, -2\/7 in descending order.\nAnswer: -2\/7, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 12:46 AM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of 0*o - 3*o**2 + 0 + 1\/120*o**6 + 2\/105*o**7 + 0*o**3 - 1\/24*o**4 - 1\/15*o**5. Find x such that l(x) = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*g - 16*g + 5*q - 21, -3*g + 27 = -5*q for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 times 2.9472?\nAnswer: -191.568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 14\/165890461?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 111, 44, -7, -36, -37, -4?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**2 - 29*p - 33. Let k be 8\/(-44) - (-4 - 932\/44). Let v be c(k). Which is greater: 493 or v?\nAnswer: 493","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-8)*(-1 - 0))\/3. Sort 1\/2, j, 5.\nAnswer: j, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3916*j - 3920*j - 2*y = 68, j - 9*y = 2*j + 357 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 5*j - 7 = 2, 2*j + 3 = p. Let z = 6 - p. Solve 2*x - 5 = -z*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/(-40))\/((-265)\/23320)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (90\/75)\/(2 - (-8)\/(-5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 4040.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4977330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.51 + -61.49. Let b = m + 91. Do b and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k - 3*k - 3*k)*((1 - 1 - 2*k**2)*(-k + k + k) - k**3 + k**3 - 2*k**3) - k**4 + 2*k**4 + 0*k**4.\nAnswer: 9*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**3 - 12*o**2 + 4*o + 6. Let y be v(6). Calculate the greatest common factor of 75 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or -1474464?\nAnswer: -1474464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 300163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4377 + 4378. Which is the fourth biggest value? (a) 9\/4 (b) -2 (c) 3 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8\/9? (a) -1\/122 (b) -3.8 (c) 5 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -30 (b) 4\/4869 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-38)\/(-8) + (-8)\/(-51 - -19)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0\/12)\/(-2 - 1 - -1). Let v = -31 - -46. Solve 3*h + 5*i - 1 = 8, t = 5*i - v for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -3*h + 28, -2*h + 5*h - 3*l - 24 = 0. Suppose h*a - 10 = 6*a. Let o be 3\/4 + a + 4. What is the second smallest value in -1\/2, o, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8511412 and 0.5.\nAnswer: 8511412.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g = -9*g - 48 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r - 15. Let w be k(8). Suppose 0 = -4*u - 12, -w = n - 0*u + 2*u. Suppose 2647 = 3*v + n*h, 3*h = -8 - 4. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -2\/13 (c) 0 (d) -16\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -6*d + b + 288, -d + 4*b + 85 = 0. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0421 * -12884.78.\nAnswer: 542.449238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 4:56 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 0*y**2 - 41 - 6*y**2 - 27*y**2 wrt y?\nAnswer: -66*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276 is divided by 110.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2 + 3926*v\/5 + 145560.\nAnswer: (v + 300)*(5*v + 2426)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8471.2 + -8470. Which is the closest to 0.2? (a) -4 (b) -3 (c) y (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 404 + -382. Let f be (p - 24)*(-1 + 8). Which is smaller: f or -29\/2?\nAnswer: -29\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -7, 2 in decreasing order.\nAnswer: 2, 0, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3546548491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1151474 divided by -6.\nAnswer: 575737\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 1470*h**2 + 129*h - 2 - 1 - 131*h. Is f(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 4*q - 2, -2*p - 2 = -5*q - 0*p for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 837 in -0.3, -5, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17244697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 35*y + 734. Let q be f(-21). What is the closest to q in -2.2, -0.1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -7*b**3 + 2*b**2 + b. What is w(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 403 + -402. Which is the smallest value? (a) u (b) -4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 5 - b + (-5 - b + 5)*(-2 + 0 + 0) + 2*b - 1 + 1.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 1401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 rounded to the nearest ten?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (-11 - -12) - -26?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 44 = -3*a, -180*a + 12 = -179*a - n. Let t(g) be the second derivative of 9\/2*g**2 + 0 + a*g - 1\/3*g**3 + 1\/2*g**4 - 1\/20*g**5. What is t(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - -1*(104 + -3). Let i = q - 45. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away 71003576?\nAnswer: -71003576.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 138\/209 - 16\/19. Let q = -0.2 - 0. What is the third smallest value in -0.4, f, q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2725 + -6?\nAnswer: -2731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 11 = -2*q. Suppose -y + 3*y = q. Sort 2, y, 5 in descending order.\nAnswer: 5, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 33498*r**3 + 58313?\nAnswer: 100494*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 570101 and 2963817?\nAnswer: 477174537","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 - 3)*(2*f + 7*f - 2*f - f + 3*f - 4*f + (1 + 3 - 2)*(0*f + 0*f + 2*f) + 2 - 2 + f - 13 + 13 - 6*f) to the form p*f + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 225 - 216. Solve -16*f = -39 - l for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2418? (a) -60 (b) -6\/7 (c) 5 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 753501*k + 2 + 0.\nAnswer: -753501*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59822497?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/6))**(-11)*(c**(-1\/6))**(20\/3) assuming c is positive.\nAnswer: c**(-53\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 175311413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 2:30 AM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -117*c. Let v(t) = 100 + 2*t**2 - 100 + 11*t**2 - 4*t**2. What is v(y(z))?\nAnswer: 123201*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*i + 116 = 20 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 5. Suppose x = -0*n + 4*n - 16. Suppose 5*i = 4*i + v - 21, -i - 21 = n*v. Round i to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/35 in 57, 4, 5\/8, -2\/11, -0.5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -i + 9*i. Let q = 19 + i. Suppose -3*m = -2*m, 2*m - 4 = -2*w. Solve q*t = w*t - 10 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*c - 17 = -3*w - 73*c, -3*w + 2*c - 57 + 104 = 0 for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2860.351 and 27.\nAnswer: -77229.477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s + 4*r - 4 - 8, -s + 2*r - 2 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**2 - 13*h - 7. Give k(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/3*180\/24\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m - 11 + 11)*(-4*m**2 + 3*m**2 + 2*m**2) - 27*m**3 - 6*m**2 - 5*m**2 + 29*m**3.\nAnswer: -2*m**3 - 11*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(475) + 3*sqrt(475))*5 + 2)*-6 + 2)**2.\nAnswer: 12000*sqrt(19) + 6840100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 80407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 4*v + 26. Suppose 9*q + 42 = 2*q. Let x be i(q). Suppose -1 = -5*b - 6. Which is bigger: x or b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/16 (b) -3 (c) 0 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -0.068?\nAnswer: 0.0272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*j + 91 = -24*j. Let a(l) = -l - 11. Determine a(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-192)\/(-80))\/(-12))\/((-1)\/(-1)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19)\/(-30) - ((-26455)\/222 - -120)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9810635897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*s = 11 - 501 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o - 1363 = -388. Does 13 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/462 and 99\/166?\nAnswer: 38346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from -2240.1.\nAnswer: -2240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - v - 2*a + 28 = 0, 2*v - 51 = -3*a. Let u be (v - 6\/2)*3. Let r = u + -32. Solve r + 2 = -5*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*r - 55*r = 80 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0\/2)\/(-1 + 2). Suppose -4*b = -5*r + 17, n*r + 3*r = 15. Suppose 0 = 4*g - b*k, -4*k = -7*g + 2*g - 6. Solve g = y, -6*u + 5*y - 10 = -4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -245 divided by 5?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tysu when four letters picked without replacement from {x: 1, u: 1, t: 1, s: 1, y: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 - 12*k - 7. Calculate n(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.1 + 0.9. Let y = 47 - 42. Which is the third smallest value? (a) y (b) r (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 346791?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18386?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -46 + -20041?\nAnswer: -20107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssussqusqssussssqsq. Give prob of sequence usu.\nAnswer: 13\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1097 is divided by 27?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22)\/110)\/(-3*6\/(-36))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (298 + 28 - 16)*(-b + b - 2*b**2 - 1 + 1 + 2*b**2 + 0*b + 0*b - b**2 + (b - b - 2*b)*(-1 - 2*b + 1) - 5*b**2 + 0*b**2 + 4*b**2).\nAnswer: 620*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26244163, 26244162, 26244161?\nAnswer: 26244160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2*p. Suppose p = a - 34 - 9. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/98 and 53\/1197?\nAnswer: 16758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of -i**4\/24 + i**3\/6 + i**2. Let q(x) = -2 - 96*x - 1 + 4 + 95*x. Give 4*l(c) - 5*q(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2048203, -8192836, -18433899, -32771398, -51205339, -73735728?\n\"Answer: -p**3 - 2048209*p**2 + p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36744673 (base 8) to base 5.\nAnswer: 4034100241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -13. Does 2 divide (-28)\/(-6) - k\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*l**5 + 5*l**3 + 80*l**2 + 419*l - 137 wrt l?\nAnswer: 340*l**3 + 30*l + 160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 - 13. Let z = 8.5 + 0.5. Let v = u - z. What is the third biggest value in v, 0.3, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 12*i**2 + 6. Let k be w(-12). Let g be 4 - (-3*1)\/((-9)\/k). Solve -g*z + 2 = 10 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1966 + 5201. Let z = h - 3234.998221. Round z to four dps.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 z when two letters picked without replacement from {z: 1, g: 2, m: 1, l: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*p - 2 - 28 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(204)*-6*4)\/(4*sqrt(48)\/(sqrt(4)*1)).\nAnswer: -18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -1\/3, 5, -3\/220?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 216 + -342. Suppose -o = 1 - 4. Let y be 507\/q + 4 + o\/18. Is y at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + b35cc?\nAnswer: b35c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 - 217*f - 10 - 1 + 13911*f**2 + 71*f - 13908*f**2 in the form a*f + o*f**2 + w and give a.\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2832, 2840, 2848?\nAnswer: 2856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 times 1.63?\nAnswer: 19.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 2*r**2 + 10*r - 4. Let c be f(4). Factor -772*l - l**5 + 784*l - l**c + l**3 + 4 + 0*l**4 - 2*l**4 + 11*l**2.\nAnswer: -(l - 2)*(l + 1)**3*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 31*l**2 - 796*l + 48. Let f(b) = b**2 - 42*b. Let s(p) = -42*f(p) + 2*m(p). Find d, given that s(d) = 0.\nAnswer: -8, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21235632 + -1?\nAnswer: -21235633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 578*y - 581*y = -2*a - 11, -2*y + 8 = -2*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/57)\/((-850)\/255).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -784, -1566, -2348?\n\"Answer: -782*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k. Let x be p(2). What is the units digit of (-32)\/(-5) - x\/10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 382*d = 380*d + 2252. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 0*w = -156. Let d = -38 + 42. Suppose j + w = d*j. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/8*1690\/13689*216\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -116 + 2?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 2)*(3 - 3 + h) - 2*h + 177 - 144 + 3*h.\nAnswer: 4*h + 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3640*c**2 - 8325725*c + 3330*c**2 + 8325725*c - 8*c**3 + 93*c**4 wrt c?\nAnswer: 2232*c - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -72*s**5 - 3*s**4 - 104*s**3 - 24541644*s wrt s?\nAnswer: -1440*s**3 - 36*s**2 - 624*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1250464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6634*q**4 - q**3 - 21*q**2 + 2324203*q.\nAnswer: -79608*q**2 - 6*q - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r + 3. Let z be (8 - (3 - 3))\/2. Let p = -1 - z. Let x(m) = -m**3 + m**2 + 5*m - 7. Give p*s(y) - 2*x(y).\nAnswer: 2*y**3 - 2*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 g when four letters picked without replacement from {g: 10, y: 4}?\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilogram in milligrams?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*z, 3*x - 3*z - 38 = 37. Suppose -x*s = -4946 - 2110. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 2*t + 40. Calculate the lowest common multiple of (9*(-3 + 2))\/(-1) and (t\/(-10))\/(2\/10).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 12:18 PM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - -1. Let p = -2 + 8. Suppose 7 = p*b - 17. Solve -8 = -o - b*a + 8, i*a - 29 = o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 - 36)*(-4 + 1 + 0)*(2*b + 0*b + 0*b)*(4*b - 3*b + 0*b + (-b + b - b)*(2 - 6 + 2) + b + b + 0*b + 2*b - 12*b - 9*b).\nAnswer: -3276*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/15)\/(6\/1500)*36\/130?\nAnswer: 60\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -50, -102, -196, -344, -558, -850, -1232?\nAnswer: -1716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 40233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + b + 32. Suppose -k - 3*k = -2*o + 80, 3*k + 12 = 0. Suppose 37*r - 45*r = -o. Solve -r*i = -2*i - b for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14865, 14950, 15031, 15108, 15181?\nAnswer: 15250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010133 to seven decimal places.\nAnswer: 0.0000101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 948*a = 241*a - 493*a + 9600 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((57\/(-228))\/(1\/2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80 and 455996016.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2241289 and 1692?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1516*n**3 - 3030*n**3 + 1508*n**3.\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 330488277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -20*t**4\/13 + 298*t**3\/13 + 30*t**2\/13 = 0.\nAnswer: -1\/10, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7225469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 561100, 561171, 561242?\nAnswer: 561313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50883, -101763, -152641, -203517, -254391?\nAnswer: -305263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*3*(-9)\/594.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -6*z**2 - 2*z - 4130. Let c(j) = -307*j. Determine c(b(g)).\nAnswer: 1842*g**2 + 614*g + 1267910","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -9*k**2 + 3. Let z(j) = -j**3 + 29*j**2 - 75*j - 81. Let c be z(26). Let a(y) = -1. Calculate c*n(o) - 9*a(o).\nAnswer: 27*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -65*n**3 - 3*n**2 - 151*n - 458. Calculate o(-3).\nAnswer: 1723","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.2 - 0.2. Let s = 1687\/3 - 562. Let x = 21.7 - 23. Sort s, x, t in ascending order.\nAnswer: x, s, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4764, -8020, -11258, -14472, -17656, -20804, -23910?\n\"Answer: r**3 + 3*r**2 - 3272*r - 1496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 222011?\nAnswer: -222011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 656692.\nAnswer: 2, 164173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -8, -417, -15, 0, -1, -3\/4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111512?\nAnswer: 2, 53, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from atytyfrw. What is prob of sequence yfw?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*3\/24*11\/11.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 25 + 218 + 143*h - 49*h + 97*h wrt h.\nAnswer: 191","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 134840 + 2?\nAnswer: 134842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/3 + 2*w\/3 + 104.\nAnswer: -2*(w - 13)*(w + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 divided by -2.\nAnswer: -33\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 119 + 200 = -3*f + 7*c, 0 = 4*f + 3*c - 4 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 l, and 1 u when three letters picked without replacement from {x: 1, u: 1, z: 1, g: 1, l: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - 5*(2 - 3). Suppose -j*c = c - 3*s, -5 = -s. What is the remainder when 7 is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*sqrt(63))\/(sqrt(1089)*-3 - sqrt(1089)).\nAnswer: 3*sqrt(7)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*t - 87 = 53. Let h = -2.6 + 0.6. Which is the closest to -1\/2? (a) h (b) 0.2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 349692 by -174846.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*0\/(-1 + 2). Suppose -4*u - 13 = g, 2*g + 0*g + 4*u + 10 = w. Let f be 8\/g*(-27)\/(-18). Solve 4 - 24 = -f*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = b - 193, 0*k + 2*k = -4*b + 392. Is k a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51238 + -270.8214.\nAnswer: 50967.1786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -618.9283 and -23.\nAnswer: -641.9283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by (15\/24)\/(12\/960)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -27656, 23 in increasing order.\nAnswer: -27656, 1, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -3*y + 18, -2*f + 45 = 4*y + 7. What is the remainder when 121\/(-11) + 4536\/(-9)*4\/(-6) is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 40*a**3*i*y + 5*a**3*i + 41*a**3*v**3 + a**3 + 3*a**2*v**3*y - a*i*v**3*y wrt i?\nAnswer: 40*a**3*y + 5*a**3 - a*v**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5225.856309 + 5444.85631158. Let c = h + -219. Round c to seven decimal places.\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*n**3\/7 - 2*n**2\/7 = 0.\nAnswer: 0, 2\/93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1002 - 949. Calculate the remainder when q is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -193\/9742?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h**3 - 4*h**2 - h + 74. Let f(s) = 2*s**3 + 5*s**2 + s - 74. Let i(z) = 5*f(z) + 6*x(z). Let r(w) be the first derivative of i(w). Determine r(2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeppss. Give prob of sequence ese.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17374419*u**3 - 2441*u**2 - 326 wrt u?\nAnswer: 104246514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1937*r**3 - 127 + 554 + 0*r - 1917*r**3 + r wrt r?\nAnswer: 60*r**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + k + 7*k - 20*k - 19*k - 2*k - 2*k + k + 4*k - k - k + (0 + 1 - 3)*(0*k + 2*k + 0*k) - 1 + 1 + k.\nAnswer: -35*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + -1 - (-864)\/(-33). Suppose -26*d + 575 + 185 = 32. Let a = k + d. Put 0.03, a, 3\/4 in increasing order.\nAnswer: a, 0.03, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 3. Suppose o*l = l + 30. What is the units digit of l\/9*(-21)\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 4:33 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of 0*d**2 + 5\/12*d**4 + 5\/3*d**3 - 28*d + 0. Determine h, given that l(h) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9813)\/(-13084))\/(10\/24*(-1)\/(-5)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -120 and 0.5.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5402 divided by 146?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h - 7. Let d be 8\/6*(-27)\/(-6). Let q be p(d). Let n(j) = j**2 - 1. Let c(v) = -7*v**2 + 2. Let z(s) = q*c(s) - 3*n(s). Differentiate z(a) wrt a.\nAnswer: 8*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3709\/4 - -927. Sort 0.2, 5, 0.5, s.\nAnswer: s, 0.2, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 16 = -2*z, -3*z = -0*g + g - 17. Let m be (-4)\/(-1) + ((-304)\/(-8) - -8). Let l = -46 + m. Solve -l*x = -z*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4 + ((sqrt(70)*1*-2)\/(sqrt(80)\/(sqrt(8)*-2 + sqrt(8))) - ((sqrt(1008) - -5*(sqrt(1008) + 0)) + sqrt(1008) + -1 + 4)**2)).\nAnswer: -49397 - 502*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**4 - 273*a**3*m - 63*a**2*m + 7*m wrt a.\nAnswer: 48*a - 1638*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 340*k**2 - 11*k + 20. Is f(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 28*x. Let u(r) = -4*r**2 + 6*r. Determine s(u(i)).\nAnswer: -112*i**2 + 168*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/9 + (-19620003)\/9. Round g to the nearest 100000.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q*q\/(q\/q**(-3\/13)))*q**(2\/11)*q)**(-10\/19)\/(q*q**(-3\/2)*q**(-6)*q*(q**(-1))**(-2\/81)) assuming q is positive.\nAnswer: q**(2314399\/440154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*w - 2*d, 5 = 2*w - d - 5. Suppose -3*l + w = -5*i, -i - l = i + 6. Which is smaller: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -50556 (b) 0.2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 2*o**2 - 4*o - 2. Let i(v) = v**3 - 18*v**2 + 3*v - 60. Let l be i(18). Calculate z(l).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -5 (c) 2127420 (d) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -4*l**2 - 2*l - 3. Let s be u(-3). Suppose -i - 742 = 5*a, -3*i + 290 = -2*a - 0*a. Let q = s - a. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 0.2, 826\/19?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -4*f + 6, s + 11 = 3*f - 0*s. Let x(y) = 2*y. Let q be x(2). Find the first derivative of -q - f*o**3 + 1 + 6*o**3 + o**3 wrt o.\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*g**3 + 0*g**2 - 4*g**3 - 4*g**2.\nAnswer: -14*g**3 - 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 8:30 AM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-105 + 205 - (2 + -2 + -3 + -4)).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3.754639t?\nAnswer: 3754639000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, c: 9}. Give prob of picking 1 c and 3 u.\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 176 and 208?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 601.77681 rounded to 1 dp?\nAnswer: 601.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 1210987*m**2 - 5*m. Let y(v) = v. What is g(y(u))?\nAnswer: 1210987*u**2 - 5*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 74 - -1. Suppose 4*z = 5*y - 96, y = -3*y + 5*z + m. Suppose 2*x = 3*x + 5, 5*k = -x + y. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g**2 + 2*g. Let m(w) = -93*w**2 - 97*w**2 + 5*w - 5*w - 3*w + 192*w**2. Suppose -5*n - 9 = -2*n. Determine n*m(x) - 4*d(x).\nAnswer: 2*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*154\/(-140))\/((-187)\/102)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 51 and -6.912.\nAnswer: -352.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1531 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lcrgccgkgcgcgcklkc. Give prob of picking 1 l and 1 r.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -219 - -222. Suppose 4*j + 3*m = -j + 25, 42 = 4*j - 2*m. Let x(d) = 15 - j - 6 - d**2. What is x(a)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 times -2?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -411?\nAnswer: -411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 533415224?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 4628?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -35 - 221 + 256 + 9813*l in the form z*l + d and give z.\nAnswer: 9813","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - 54*m + 877. Give i(13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 25 = -6. What are the prime factors of o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) 2 (b) 0 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**2 + o**2 - 5*o**2)*(-106 - 59 + 304)*(-4 + 2*o + 4)*(3 + 1 - 2).\nAnswer: -556*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((-14)\/4 + 2). Which is the closest to p? (a) 3 (b) -3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17 minus 307208?\nAnswer: -307207.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 226198\/19 and -75 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22504 (base 7) to base 16.\nAnswer: 1669","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 40217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 2*c + c**5)*(5 - 1 - 2) + 5*c**2 - 5*c**2 - 3*c**5 + (3*c**2 - 3*c**2 - 2*c**5)*(5 - 1 - 6) + 4*c**5 - 13*c**5 - 27*c**5.\nAnswer: -33*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 1105*m + 13120. Give v(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*b + 25408 - 4852 = -641*b for b.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -9. Suppose -3 - 17 = -4*r. Let b(w) = 6*w**2 - r*w - w**3 + 3 - 5*w + 5*w. What is b(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 20*t**2 + 40*t - 50. What is f(18)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1, -10, -2, 14, 37?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27.02*2.16.\nAnswer: 58.3632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 5*l**2 - 5. Let d(z) = -6*z**2 + 6. Let f(r) = 4*d(r) + 5*g(r). What is f(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/213972 and 25\/48.\nAnswer: 855888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1346108251 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p + 14. Let a be n(10). Suppose 22*w - 19 = 20*w - r, -6*w = r - 51. Sort w, 7, a, -3 in descending order.\nAnswer: w, 7, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 17631036.\nAnswer: -88155180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of 19*l - 2\/5*l**5 + 2\/21*l**7 + 0 - 2*l**2 - 2\/15*l**6 + 2\/3*l**3 + 2\/3*l**4. What is n in s(n) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3*c**3 - 15*c**2 + 3. Suppose -2*m + 8 = -2*g, 0 = 3*m - 2 + 5. Let l be z(g). Solve 5*q - 15 = -5*a, 7*a = 4*a + 3*q + l for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37.9515 rounded to 1 decimal place?\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*f**2*l - 2736*f**2 - 8*f - 73*l**4 + 23*l**2 wrt l.\nAnswer: -4*f**2 - 292*l**3 + 46*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -501 + 503. Suppose -4*x + 230 = b, -3*x + a*x - 3*b = -52. Suppose v - 44 = 13. Which is bigger: v or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 412282389?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of -p**5\/30 - 53*p**2 + 1. Let n(i) = 65*i + 6. Determine n(r(b)).\nAnswer: -130*b**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 0*a**3 + 16 + 9*a + a**2 - 2*a**3 + 3*a**3 + 9*a**2. Let t be r(-9). What is the greatest common factor of t and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 7:41 PM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -11*i - 52. Let w be z(-5). Suppose -w = -2*t - 101. Are t and -50 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37511640 a multiple of 270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) -0.4 (b) -17 (c) 1892 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 2*k + 3*k)*(-2*k - 3 + 3) - 5*k**2 - 12*k**2 + 0*k**2.\nAnswer: -19*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 b when two letters picked without replacement from {u: 2, g: 1, b: 2, c: 1, e: 1, o: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -24\/23 (b) -5 (c) 63\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**2 + 2*f**2 + 9*f**3 + (3*f**2 - f**2 - f**2)*(-2 + f + 2) in the form l*f**2 + y + b*f**3 + q*f and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 110803590 divided by -22290\nAnswer: -4971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 5*f + 27. Let a be w(-6). Which is greater: a or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7061?\nAnswer: 23, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 142 - 131. Let n = i + -11. Solve n*k = -4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -9*z**3 + 22*z**2 - 19*z + 55. Let u(p) = 5*p**3 - 11*p**2 + 9*p - 28. Let q(o) = -4*r(o) - 7*u(o). Let a be q(10). Solve -s + 3*s - a = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 5*i = -95, 0 = -b + 5*b - i - 338. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -444 - -444.0233. Round f to 3 decimal places.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 18*l**2 + 72*l. Let s(f) = 5*f**2 + 21*f. Let y(a) = -24*s(a) + 7*v(a). Let o(n) = -n - 31. What is o(y(w))?\nAnswer: -6*w**2 - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1798045 and 4300?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*l + 359 = -265. Put 0.5, 1, 5, l in descending order.\nAnswer: l, 5, 1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 12*k**2 + 13*k + 27. Suppose -o = 3, 2*o + 39 + 11 = -4*s. Let q be l(s). Solve 0 = 5*r - 0 + q for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*w = 12*w + 5940. What is the remainder when 316 is divided by w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 - -12. Let t = h + 7. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3*m - 1 + 8*m + 2. Let c(r) be the first derivative of -7*r**2 - 2*r - 69. Calculate -3*c(p) - 8*x(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1305)\/(-144) - 6) + 1\/(-8). Let z = r + -297\/112. Let s = -2 + 0. Which is the biggest value? (a) 1\/6 (b) z (c) s (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {z: 6, q: 5, b: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 895796102.\nAnswer: 2, 61, 479, 15329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 5*m**2 - 2*m + 1. Let a be i(-2). Let h = 20 + a. Suppose -4*v - h = -33. Solve -5*s - 19 = -o - 0*s, v*o - s + 1 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 11:45 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/((-8)\/12) - 2. Suppose a - 1 = g. Suppose -a*h = -3*h + 5. Solve 0 = h*p + 15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000506512 to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a hour in seconds?\nAnswer: 34560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28707\/19 + -1511. Which is the nearest to -1? (a) -116\/5 (b) o (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -2*u - 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15444.715*-6.\nAnswer: -92668.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -286 - -289. Sort k, 0, 1 in descending order.\nAnswer: k, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*j - 16*j + 14*j as c + r*j and give r.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 5*a**5 + 5*a**4 - 905*a**3 - 6545*a**2 - 11760*a = 0.\nAnswer: -7, -3, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26386242.\nAnswer: 2, 3, 1847, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - ((-3 - 4) + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 277 + -256. Calculate the greatest common factor of 147 and g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j + 335 + 337 + 350 - 1042.\nAnswer: 4*j - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -363730, -363726, -363722, -363718?\nAnswer: -363714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -38*q + 387 + 145. Suppose -q*m = -21*m + 14. Solve m*h + 7 = -5*x - 6, 4*x - 4*h - 12 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1872 rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -59615, -119200, -178751, -238268, -297751, -357200, -416615?\n\"Answer: 17*p**2 - 59636*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 273154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/2*(-24)\/36*2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111 (base 4) to base 6.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*f + 6 = -421 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/63))**(-10) assuming b is positive.\nAnswer: b**(20\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(2160) + sqrt(2160) + sqrt(2160)*2 - sqrt(2160)))\/(sqrt(6)\/(sqrt(288)\/sqrt(9))).\nAnswer: -576*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.7 - 4.5. Let w = x + 2.799675. Round w to five dps.\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2\/7, 68, -24\/9527 in ascending order.\nAnswer: -24\/9527, 0, 2\/7, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7b41018 + 2?\nAnswer: 7b4101a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p - 4. Let f be b(-10). Is 3 a factor of f + 2\/(-2 + 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (65\/15 + -4)*(4 - -2). Suppose w*h = h. Let a be 1*(6\/46 - 0). Which is smaller: a or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 7 = 3*a, -5*a + 22 = -7*a + 3*o for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 289 + 196. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n - 407752 + 407752. Let m(j) = -4*j**2 + 4. What is p(m(u))?\nAnswer: 8*u**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -936 = 28*m - 1188 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(6\/5))\/b*b\/((b**(16\/7)*b)\/b*b)*(b**(-7\/3)\/b)\/(b*(b*b**(-1\/7))\/b))**(-4\/27) assuming b is positive.\nAnswer: b**(3224\/2835)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 664 and 8.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express d + 32*d - 5*d in the form s + c*d and give c.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kppodggpkmmo. What is prob of picking 1 p and 2 g?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - 9*t - 6*t)*(0 + 0 + 1) + t - 3*t + 0*t + (-14 - 13 - 4)*(2*t + t - 2*t + 1).\nAnswer: -49*t - 31","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 462 (b) 100 (c) -279\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 10*m - 71. Give l(4).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.328 rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 28\/10 - (-1)\/5. Let l = m - -6. What is the remainder when 26 is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 33 - 19 - 14 + 1559*a in the form j*a + n and give j.\nAnswer: 1559","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 5, -5*i - 13*b + 160 = -18*b. Does 6 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -o**3\/3 + 1. Let m be ((-12)\/10)\/(20\/(-150)). Let w(j) = m*j + 0*j - 6*j - j. Determine w(r(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z**2 + 55*z - 4. Let s(q) = -2*q**2 + 58*q - 3. Let x(y) = -3*l(y) + 4*s(y). Let j(v) = 3*v**2. What is x(j(k))?\nAnswer: 9*k**4 + 201*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -14992 from 64.815.\nAnswer: 15056.815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 10*o**2. Let a(r) = 3*r**3 - 19*r**2. Let t(i) = 6*a(i) - 11*j(i). Find the third derivative of t(y) wrt y.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3300887 to the nearest integer?\nAnswer: 1817","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -108733.406 - -107321.457575. Let a = p - -1412. Let r = 0.052 - a. Round r to 5 dps.\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -10*a + 4. Let k(d) = -46*d - 30. Let j(x) = 41*x + 25. Let m(n) = 7*j(n) + 6*k(n). Determine 4*f(l) + 3*m(l).\nAnswer: -7*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4030 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -5*u**3 - 14*u**2 + 8*u. Let y(s) = -14*s**3 - 41*s**2 + 24*s - 1. Let t(f) = -17*v(f) + 6*y(f). Let c be t(7). Let g = 3.07 - 0.07. Sort 0.5, g, c.\nAnswer: 0.5, c, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1514 - 893. Let g = z - -3467. Round g to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -434372\/15 + 3856708\/135. Let v = u - -390. Which is the nearest to -1? (a) v (b) 1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t + 33 + 15 = 0. What is the second derivative of 305*g + 10*g**4 - t - 322*g + 3 wrt g?\nAnswer: 120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16174 + 16169. Sort 1, -13, -0.7, y, 2\/15 in descending order.\nAnswer: 1, 2\/15, -0.7, y, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t - 44 = 11*t + 5*b, 4*t + b = -28 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + 1. Let j be ((-6)\/10)\/(6\/4). Let r = 14 - 15. Which is the nearest to -3? (a) j (b) r (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(66)\/(sqrt(48)\/(sqrt(8)*-2 + sqrt(8))).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -389 - -389. Let j(y) be the third derivative of 0*y**7 + 0*y**3 + 0 - 1\/60*y**6 + 1\/336*y**8 + f*y + 0*y**5 + 4*y**2 + 1\/24*y**4. Factor j(z).\nAnswer: z*(z - 1)**2*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - 2. Let m(n) = 3*n. Let f(c) = 5*c. Let u(t) = 2*f(t) - 5*m(t). Let p be u(o). Solve 0 = l - 2*v - p, -l + v = -0*v - 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 70 = 2*b, 0 = -14*y + 9*y + 4*b + 60. Let n(x) = -x**2 + 17*x - 19. Give n(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.44 - -4.3718. What is the biggest value in b, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -23. Let s = k - 19. Suppose -t + 36 + 15 = s. What is the remainder when 201 is divided by t?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101221 - 200120112112?\nAnswer: -200120221110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x**(-1\/11)*x)\/x)\/x**(2\/19))\/(x**2\/(x\/(x*x**(-14\/5)))))**(-38) assuming x is positive.\nAnswer: x**(-1262\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 8.9688 millimeters?\nAnswer: 0.0089688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 4*q + 73744 = 0, 0*q - 18448 = -h - 5*q. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g**4 - 256*g + 25*g - 69*g**2 + 68*g**2 + 2*g**4 to the form d + f*g + z*g**2 + w*g**4 + p*g**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 h when two letters picked without replacement from {q: 1, h: 1, t: 2, a: 2, y: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18913.\nAnswer: 18913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 4 + 1 + 0 + -1 + sqrt(475) + sqrt(475))**2.\nAnswer: -20*sqrt(19) + 1901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15189 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-9) + (-538)\/(-9). Suppose -v + h = y + y, y + 2 = 0. Is v a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4*s + 27. What is the lowest common multiple of b(4) and -3*(3 + -2)\/(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*sqrt(187) + ((sqrt(187) - (sqrt(187) - sqrt(187)*-2))*1 - sqrt(187)))\/(sqrt(11) + (-2*sqrt(11)*-3 - sqrt(11)) + sqrt(396)).\nAnswer: -sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 * 115.77.\nAnswer: 69.462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**3 + 913897 + 4*v - 913897.\nAnswer: 2*v**3 + 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-115*z - 1205*z - 271*z - 173*z)*(33*z**2 + 406*z - 406*z) to g + r*z + b*z**3 + x*z**2 and give b.\nAnswer: -58212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 12 = 4*x. Let k(o) = o**2 + 1. Let d be k(x). Suppose d*p - 2*y = 21 + 5, -2*p - 4*y - 4 = 0. What is the lowest common multiple of p and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1552?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*r**5 + 6*r**5 - 6*r**5 + (3*r**2 + 0*r**2 - 2*r**2)*(-152 - 103*r**3 + 152) + (-5*r**4 - 7*r**2 + 7*r**2)*(-3 - 2*r + 3).\nAnswer: -87*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oa when two letters picked without replacement from {c: 2, r: 2, s: 2, o: 5, a: 1, p: 2}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -64 (base 12) to base 7\nAnswer: -136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 6*s. Let p be o(-1). Let y be p\/4*(-4)\/6. What is the units digit of y - ((0 - 3) + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/120)\/((-5)\/(-330))*2\/2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 761417132 to the nearest integer?\nAnswer: 27594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4202 + -23?\nAnswer: -4230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3174 + 4207 = -387*n - 1520 for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by (-5*(-2 + 3))\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 171761900?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/19 + 46*j**2\/19 - 222*j\/19 - 270\/19.\nAnswer: -2*(j - 15)*(j - 9)*(j + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8 - -20) + 29 - 42) + (-1 - -11).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3*b**2. Let y(r) = -101*r + 28. Determine a(y(k)).\nAnswer: -30603*k**2 + 16968*k - 2352","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 18282.03 nanometers in meters?\nAnswer: 0.00001828203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4769269\/9210 - -3107\/6. Let l = -47609\/9210 - o. Let b = -9\/20 - -919\/20. Calculate the common denominator of l and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*d + 5953 + 10217. What are the prime factors of d?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((5\/18)\/5)\/(1\/4)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -372\/107 - -2390\/749. Which is the nearest to 2\/27? (a) 4\/3 (b) 0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (3945\/75 + -26)*(-5)\/24 and 31\/2703.\nAnswer: 21624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 126 and 4526226.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3573\/14 + -262. What is the common denominator of -3 + (-78)\/(-15)*7\/4 and i?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.6214 to one decimal place.\nAnswer: 9.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 1, -4\/7, -1\/3, -0.5, -39 in decreasing order.\nAnswer: 1, -1\/3, -0.4, -0.5, -4\/7, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 42*d**3 + 2*d**2 - 9*d + 6. Let w be (4 - 15\/6)\/(3\/6). List the prime factors of c(w).\nAnswer: 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42 - 47. Let h(v) = v**3 + 6*v**2 + 4*v - 2. What is h(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.88 + 0.27. Let j = -0.65 + g. Which is the third biggest value? (a) 0 (b) -0.4 (c) j (d) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1476747 (b) 0.44 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -232000 to the nearest ten thousand.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o + 10. Let l be c(-3). Put l, 1, 40 in descending order.\nAnswer: 40, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22080 is divided by 253.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -790*v**2 + 413*v**2 + 2536*v**2 as c*v**2 + u*v + w and give c.\nAnswer: 2159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -91891\nAnswer: -9189.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**3 + 0*s**3 - 3*s**3 - 3*s**3 + 5*s**3 + 0*s**3 + (2*s**2 - 4*s**2 + s**2)*(-2*s - 1 + 1) + 0*s**3 + 3*s**3 + 0*s**3 - s**3 + 3*s**3 - 3*s**3.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 285407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5501 - -2?\nAnswer: 5503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 14?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 3*c = -3376, -3*c = -17*j + 18*j - 686. What is the hundreds digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a factor of 7320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 - 8*j**2 + 0*j**2 + (-3*j + 0*j + 2*j)*(j + 2*j - 5*j) + 201*j**2 - 115*j**2 - 106*j**2)*(-4 + 2 + 1).\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 457144109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3\/4 - 45*i**2\/4 + 81*i\/4 - 39\/4.\nAnswer: 3*(i - 13)*(i - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/18)\/((-15)\/18)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -27*d**2 - 15*d + 2. Let q(y) = 8*y**2. Give 6*q(v) + x(v).\nAnswer: 21*v**2 - 15*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14 + 70165335?\nAnswer: 70165351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -4*p + 11. Let w be c(-5). Let l = w + -17. What is the derivative of -1 - 2 + 9 - 8 - l*x wrt x?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -251 (base 15) to base 13\nAnswer: -316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.025 - 97.975. Let t = y + 93. Suppose 0 = -a + 2*a + 1. What is the nearest to a in 0.4, t, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine sixteenths of a century in months?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 1.08\nAnswer: -4.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 25342*o. Let h(w) = -2*w. What is j(h(r))?\nAnswer: -50684*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 162*f + 7. Let o be c(-1). Let i = -579 - o. Let b = i + 1231. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 628, 965, 1302, 1639, 1976, 2313?\n\"Answer: 337*q + 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 d when four letters picked without replacement from csfdddxxddhsddfdsd.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23157 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 16 + 7 - 31 - 36*o + 6.\nAnswer: -36*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a68518 (base 11) to base 9.\nAnswer: 10785368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -65?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1204\/6267 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and 9021.\nAnswer: 9021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 122364\/21 - (-186)\/(-217)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 9:11 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -102 + 97. Sort c, -9, 2, -4 in descending order.\nAnswer: 2, -4, c, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 11789380.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 9*l - 7. Let s = -12 + 6. Let u be d(s). Let t(r) = 19*r - u*r - 10*r. Let o(x) = 3*x**2. Calculate t(o(n)).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-8)*-14 + 4. Let n = -1 + 3. Let p be -1 + n + 41 - -2. Calculate the greatest common divisor of p and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4964 - -4975. Put -7, 1\/2, f, -1\/6 in descending order.\nAnswer: f, 1\/2, -1\/6, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5132*t**2 + 5785*t**4 - 5132*t**2 + (0*t**2 + 2*t**3 + 0*t**2)*(-t + t + 2*t) + 2 - 2 - 2*t**4 to l*t**2 + u*t**3 + x*t**4 + h + v*t and give x.\nAnswer: 5787","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 79 (base 10) to base 8\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 48 and -5454.1872471?\nAnswer: 5502.1872471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-19) - 455600\/(-71288))*-7\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 19*m**2 - 13. Suppose -5*w = -s - 18, 0 = 3*s - 3*w - 22 + 64. Let q(r) = 9*r**2 - 6. Determine s*q(j) + 6*b(j).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7077654 is divided by 110.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 119 and 42.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 2*a + (2 + 2 - 3)*(3*a + 0 + 0).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) 41 (c) -4621 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6450 and 1550?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*l = 78*l + 14807. What are the prime factors of l?\nAnswer: 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -2 + -56 + -699 + 719?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*m**5 - 82930*m**4 - 2611805*m**3 - 4012190*m**2 + 3408740*m + 3298200 = 0 for m.\nAnswer: -5497, -30, -2, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 196.5757g in kilograms?\nAnswer: 0.1965757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -81\/31 (b) -2\/3 (c) -5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -610247*a**2 + a**4 - 17*a**3 + 23*a**4 + 610244*a**2 + (-a**2 + 0*a**2 - 3*a**2)*(-3*a**2 + 4*a**2 + a**2).\nAnswer: 16*a**4 - 17*a**3 - 3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -300 - -302. What is the remainder when 131 is divided by 102\/(-6)*-2 + n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1981*r**5 + 648*r**2 wrt r?\nAnswer: 118860*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (-3 + sqrt(180) + 2 - (sqrt(180) + (sqrt(180) - 3*sqrt(180)*4))))*1)**2.\nAnswer: 528*sqrt(5) + 21796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16948 and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1145124 and 5796?\nAnswer: 8015868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-2\/7))**(2\/59)\/(t**6\/t*t\/(t**(4\/11)*t*t)) assuming t is positive.\nAnswer: t**(-16410\/4543)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/384*-16*(-52)\/(-12)*-6\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 AM and 10:37 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36 by -467759.\nAnswer: -36\/467759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/(-27) - 11\/(-3). Suppose 3*s = -g*s + 98. Calculate the lowest common multiple of s and 5.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15052*t + 2210*t**2 - 30122*t + 15066*t to the form b*t**2 + q*t + a and give b.\nAnswer: 2210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*h + 2*s, -2*h + 0*h + 4 = 2*s. Let n(y) = 8*y**2 + y - 6. Let u(k) = -7*k**2 - k + 5. What is h*n(m) + 6*u(m)?\nAnswer: -2*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u - 8*u + 14*u)*(-2 - 1 + 0) + (1 - 2 + 3)*(u - 4*u + 2*u) - 2 + 2 + u - u - u - u.\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 124 (base 8) to base 14\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11700 = 325*d - 319*d. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 12 - 44872\/2208 - -8 and 179\/30.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -91 - -684276?\nAnswer: 6841b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 35*d**3*f**2 + 3*d**3 + 2*d*f**2 - 2*d*f + 7 with respect to f.\nAnswer: 70*d**3*f + 4*d*f - 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -501172, -501163, -501142, -501103, -501040, -500947, -500818?\n\"Answer: k**3 + 2*k - 501175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 7 - w**3 + 472*w - 19 + 2*w**3 - 2*w**4 - 545*w as y + g*w**3 + i*w**2 + z*w + h*w**4 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 9:01 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4\/9)\/(g\/((g*g\/g**(-3\/5))\/g*g)))\/(g**(2\/5))**(6\/17) assuming g is positive.\nAnswer: g**(776\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17828580?\nAnswer: 2, 3, 5, 7, 11, 17, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 8:21 PM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, d: 12}. Give prob of sequence ww.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -176, -24442, 0.\nAnswer: -24442, -176, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -11 + 8 - t + 0. Let x(k) = -3. Let m(n) = 3*q(n) - 2*x(n). Calculate m(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 8:37 AM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 100678.65 months?\nAnswer: 8.3898875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 600722704 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 23461 and -0.06.\nAnswer: -1407.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35.2 - -34.246. What is q rounded to one dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -60778\nAnswer: 3\/60778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -l + 14, 14 = -3*l - 5*q + 5. Solve -l*h + 7*h = 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -17*v**4\/12 - 2*v**2 - 342. Let m(t) = 4*t**2. Calculate a(m(s)).\nAnswer: -136*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*-3*6\/9. Suppose -3*v = l + 3 + 5, -l = 2*v + 7. Let o = -8 - l. Put m, o, -4 in ascending order.\nAnswer: -4, o, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 15 (c) -0.07368 (d) 2 (e) 0.1 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqddqqedeed. Give prob of sequence edq.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -10 (c) 0.5 (d) 6 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8987 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 5*w**2 + 3. Suppose 2 = -k + 3*k. Suppose -k = -4*c + 15. What is the remainder when c is divided by v(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -0.0034, -2\/5, -8, 0.3, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2793488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**0)**(-4\/13))**(-21)\/(q**(-4)*(q**4\/q)\/q*(q\/(q\/(q*q*q**1)))**(-4\/29)) assuming q is positive.\nAnswer: q**(70\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*0.12317129.\nAnswer: -0.036951387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2003 (base 4) to base 2.\nAnswer: -10000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = n - 71. Calculate the remainder when n is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -10*g - 5. Let u(j) = -6*j**2 - 4*j - 4. Let d(p) = 5*p**2 + 3*p + 3. Suppose -14 = -5*c + 6. Let m(h) = c*d(h) + 3*u(h). Give w(m(r)).\nAnswer: -20*r**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, l: 7, y: 1, x: 10}. What is prob of picking 1 y and 1 l?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 131616197, 131616195, 131616191, 131616185, 131616177, 131616167?\n\"Answer: -i**2 + i + 131616197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15079\/4228 - -3\/604. Suppose 3*c + 0*g + 3 = 2*g, -9 = 3*c - 4*g. Let m = 0 + c. Find the common denominator of x and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a - -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) + 3*sqrt(152))\/sqrt(8) - (sqrt(19) + sqrt(190)\/(sqrt(10)*-1)).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 0*j + 2*j = 0. What is c in 1\/2*c**4 + 0*c**2 - 1\/2*c**3 + c**5 + j + 0*c = 0?\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -2*b + 0 - 1\/2*b**2 + 1\/6*b**3. Let t(c) = -1. Calculate -2*o(m) + t(m).\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*p - 37*p + 495*p**2 + 53*p.\nAnswer: 495*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 529149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 268 = -100. Let w = -66 + b. Suppose 0 = -4*m + 2*a + w, 4*a = 5*m - 19 - 21. Is 2 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -383, -382, -381, -380?\n\"Answer: d - 384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 8 - ((-84)\/147 - (-4 - 649\/(-77)))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50988 to the power of 1\/2, to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*y - 2*y. Find the second derivative of -5*h**2 + h**2 - y*h + 2*h**2 wrt h.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11068685603 take away -0.010831?\nAnswer: -11068685602.989169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 divided by -4?\nAnswer: 37\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -533 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v. Let r(s) = 7071*s. Determine j(r(b)).\nAnswer: 14142*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of 14*l**3\/3 + 5*l**2\/2 - 25*l - 13. Is x(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 7:21 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 6*u**2 + u - 4. What are the prime factors of k(-7)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 4705.\nAnswer: -1\/4705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - f + (3 - 5 + 3)*(f + 4 - 4) - 1 - 2*f + 1 + (0 + 0 - 1)*(-3 - f + 3))*(2 - 3 + 2) + (-18 + 29 - 14)*(-9 + 4*f + 9).\nAnswer: -13*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80 and 240?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1670007660 to the nearest integer?\nAnswer: 40866","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3368057?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u - 5. Let w be z(-7). Suppose -4*c = -2*o + o + 23, 0 = 5*o - w*c - 43. Let g(v) = 14*v**3 - v**2. Let m be g(1). Solve m + o = 4*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 101*y**3 - 204*y**3 - 135*y**3 + (2*y**3 + 2*y**2 - 2*y**2)*(-1 + 1 - 2).\nAnswer: -242*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6480?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**5\/4 - 108465*b**4\/4 + 979031229*b**3\/4 + 24528085773*b**2\/4 + 35101944540*b - 41478696675 = 0. What is b?\nAnswer: -13, 1, 18090","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -13*n**3 - 3*n**2 - 6*n. Let u be a(-2). Suppose -u*q = -123*q + 1026. Calculate the lowest common multiple of q and 66.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 8*x + 17 + 28*x - 5.\nAnswer: 20*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -47332\nAnswer: -94664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 44069.82 minutes in nanoseconds?\nAnswer: 2644189200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/22)\/((-7)\/154)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (6828\/(-1138))\/(2*-4)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/382015280 and 19\/4584.\nAnswer: 1146045840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1942126 and 22.\nAnswer: 42726772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of -g**6\/20 + 289*g**5\/60 + 343*g**4\/24 + 8382*g**2. What is the second derivative of z(i) wrt i?\nAnswer: -36*i + 578","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 9*w - 6. Let x be a(7). Is (178\/x)\/(2\/8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d - 3. Let l(m) = -1. Let o(a) = 3*l(a) - r(a). Let i(h) = -7*h - 7. Let v(y) = 3*y + 4. Let w(n) = 4*i(n) + 7*v(n). Give o(w(c)).\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204658.\nAnswer: 2, 102329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -98*v + 195*v + 26*v - 2378*v**3 - 123 + 123*v**2. Let p(g) = 39*g**3 - 2*g**2 - 2*g + 2. Determine 2*k(h) + 123*p(h).\nAnswer: 41*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29124 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(1\/4)\/g)\/g)\/g)**(-1\/19)*g**(-2\/13)*g**(-2\/21)*((g\/((g\/(g*g**(-1\/11)*g))\/g))\/(g\/(g\/g**0)))\/(g*g**(1\/5)*g*g**(2\/15)) assuming g is positive.\nAnswer: g**(31859\/76076)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 3213.\nAnswer: 4\/3213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0364 - 12.0364. Let t = 0.464 + 0.036. Which is the third smallest value? (a) t (b) m (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -117 - -118. Let d = -166 - -1160\/7. Which is smaller: d or h?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 1 = 7 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*w**3 + 10*w**3 + w**3 + 14*w**3 - 11*w**3.\nAnswer: 21*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-2))\/(49\/((-5390)\/(-20))). Let s(h) = -5*h**3 - 3*h**2 - 32*h - 11. Let w(v) = -2*v**3 - v**2 - 11*v - 4. What is g*w(t) + 4*s(t)?\nAnswer: 2*t**3 - t**2 - 7*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 10304 (base 5) to base 14\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -225185 by 45037.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 9090 = 5*c, 9*c - 12*c + 5*a = -5435. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29544492 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 m be (-2 + 0)*(-4 + 246\/4). Let j = m + 85. Calculate the remainder when ((-24)\/j)\/(2\/165) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -148021155\/26 or -5693122?\nAnswer: -148021155\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g + 17. Let l be c(-6). Let h(n) = 2*n + 16 - 38 + l + 1. Let d be h(18). What is the greatest common divisor of 10 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 136796 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2*r - 3*r, -4*p + 22 = -r. Let i(t) = 3*t**2 - 6*t - 7. Is i(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94791?\nAnswer: 3, 19, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**3\/n)\/n**(-6))**13*(n**4*(n\/n**(1\/3))\/n*n)**(-2\/19) assuming n is positive.\nAnswer: n**(5900\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 106 + -106.5. Let v = -2 + 1.9. What is the second smallest value in 0.5, v, r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -77?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*k**4 + 12*k**3 - k*n**2 - 2*k*n + 61*n**2 - 2*n + 6 wrt k?\nAnswer: 16*k**3 + 36*k**2 - n**2 - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 2:52 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4790, 19360, 43644, 77642, 121354, 174780, 237920?\nAnswer: 310774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of 0 - 5\/8*w**4 + 1\/60*w**5 + 0*w - 14*w**2 - 1\/2*w**3. What is the hundreds digit of d(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2*z**2\/13 + 852*z\/13 - 46336\/13 = 0.\nAnswer: 64, 362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.328 - -1.23. Let a = s + 0.1019. Round a to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + bbb?\nAnswer: bb8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 1 = -7. Let g be 194\/6 + (-5)\/15. Let q(l) = 34*l - 9 + 2 - g*l. Calculate q(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 4*u - o - 10, u + 2*o = -5. Let i(y) = y**2 - 2*y + 2. Let t be i(u). Solve -3*k + 23 = 2*z + 8, -z = -k + t for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4*20\/(-80)*(-3 + 1). Let r(g) be the first derivative of g**4\/2 + 2*g**3\/3 + g**2 + 2*g - 2. Let x be r(t). Is -9 <= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000002616295 to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3471, -3589, -3793, -4083, -4459, -4921, -5469?\n\"Answer: -43*u**2 + 11*u - 3439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 13 = 4*g, g + 0*g - 1 = 2*m. Suppose -2*n = -g*n - 4. Which is the second biggest value? (a) n (b) -0.1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + q**2 + 3*q + 3. Calculate the common denominator of 13\/7 and t(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 272 and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -14.85 times -22\nAnswer: 326.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sk when two letters picked without replacement from {i: 4, s: 4, k: 6}?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 2\/61, 6, 1, -3?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/187 and 29\/30521817.\nAnswer: 335739987","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(2 - 1 - 2)*(9 + 5*u - 8 - 3*u).\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23\/(-46)*1*-2*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**3 - 5590367 + 5590328 + 20*r**2 - 20*r**2.\nAnswer: -3*r**3 - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 5*b + 44, 192*p - b = 197*p + 20 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*q - 2 = 0, 4*q + 35 = k. Suppose -4*y + 16 = -4*s, 5*s - 7 = -y - k. Suppose 2\/5*a**3 + y + 2*a**5 - 4\/5*a**2 + 0*a + 16\/5*a**4 = 0. What is a?\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -125, -456, -1027, -1856, -2961?\n\"Answer: -3*a**3 - 102*a**2 - 4*a - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 10:18 PM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 12*x**3 - x**2 + x. Let u be k(1). Let n = -12 + u. Suppose n = -3*p + 6*p - 879. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -8*j + 2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**2 + 6*r - 6. Let f be l(-5). Let v = 83 + -62. Calculate the greatest common factor of f and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34 + 30. Suppose 0 = -3*z - 15, -2*t + 0*z = -2*z - 76. What is the tens digit of (2 - n - 2) + t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103832 (base 9) to base 13\nAnswer: -22247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 11:35 AM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 + 36. Suppose a + q*n + 25 = 40, 5*n - 46 = -3*a. What is the remainder when 53 is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**2 + 4*r + 1. Let i be d(-3). Let w = 4 + i. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 23*q**2 + 1700*q - 35193. Determine b(20).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -3.1. Suppose 8 = -5*c - 12. Let p = -41.3 - -41.2. What is the closest to v in c, p, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15\/10*(1 + 27). Suppose 2*m + m - j = 0. Calculate the lowest common multiple of 18 and m.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6703109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1259, -1260, -1261, -1262, -1263?\nAnswer: -1264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/3528 and -127\/2520?\nAnswer: 17640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -165*c**2 + 89*c + 8. Let p(b) = 164*b**2 - 85*b - 6. Let n(i) = -5*a(i) - 6*p(i). Factor n(l).\nAnswer: -(3*l - 1)*(53*l - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 3*h + 123 = 0, -k + 0*h = h - 36. What is the remainder when 161 is divided by k?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 181*b*c**3*d + 22773*b*c**3 + 215*b*c**2*d + 95*b*d - 57*b wrt c.\nAnswer: 1086*b*d + 136638*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -376*m**2 + 214*m**2 - 6*m + 4*m + 185*m**2.\nAnswer: 23*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9 and 9053.3985?\nAnswer: -81480.5865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1044, -1972, -2900, -3828?\nAnswer: -4756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2034014020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(3 + -4) - 18. Which is bigger: r or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2971625533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 16.0969 litres?\nAnswer: 16096.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1952 + -2014 - (-1 + -3)\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 384675504?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 + 0\/(-2) + -2 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 956*c + 823*c - 832*c + 1875*c.\nAnswer: 2822*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 42906*h**2 + h**3 + 514*h - 42906*h**2 as i + d*h + q*h**2 + y*h**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 55786, 111572, 167358, 223144, 278930, 334716?\n\"Answer: 55786*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*h + 76 = 2*r + 30*h, -6 = -157820*r + 157820*r - 3*h for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 + 3*r + 490. Let u(v) = v**2 + 2*v + 488. Determine 2*j(q) - 3*u(q).\nAnswer: -q**2 - 484","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 45943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -2. Let a(b) be the first derivative of 7*b**2\/2 - 5*b - 60. Let j(r) = -15*r + 9. Let m(l) = u*j(l) - 11*a(l). Determine m(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/60 and -81\/1490.\nAnswer: 8940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -50 and -2\/11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 5*i - 1778293, -3*d - 148474 = -i + 207189. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*f + 9*f - 4*f + 1)*(-2*f + 2*f + 4*f).\nAnswer: -8*f**2 + 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31 + 122103?\nAnswer: 122134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84206712?\nAnswer: 2, 3, 17, 173, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42676 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.05 - 0.05. Let k = -10.3 + 10. Which is the third biggest value? (a) y (b) k (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -297280 - -676913. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 58 = 8. Let z = c - 5. Suppose -z*s + 86 - 16 = 0. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1334*n**5 + n**3 + 60*n**2 + 66*n + 2989?\nAnswer: 26680*n**3 + 6*n + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x + 886 - 889 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 3*d + 29 = 7*z, 2*d = 5*z - 45. Suppose 41*m - z*m = 210. Solve l - 9 = -m for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 13, -35, -5 in ascending order.\nAnswer: -35, -5, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) 1\/5 (c) -2 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/1)\/(31 + 2262\/(390\/(-15)))?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1233.9289 + -1234. Let t = 0.0711699 + d. What is t rounded to six decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6792 times -5?\nAnswer: 3.396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 85 - 169\/2. What is the smallest value in g, 1\/5, 2, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -173\/6 - -29. Find the common denominator of 18\/4*(-600)\/(-288) and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16.3 - -17. Let d = b - -53.3. Let a = d - 53.99999729. Round a to 7 decimal places.\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) -4\/31 (b) -4 (c) 0 (d) -4319\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -359\/2? (a) -1\/3 (b) -3 (c) 4 (d) -0.23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + m + 0)*(-m**3 - 5*m**3 + 4*m**3) + 4*m - 2*m**4 - 4*m - 9505*m**4 + 21519359*m**2 - 21519359*m**2.\nAnswer: -9509*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -232 - -568. Is n a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16482 + 16494.734. Round u to zero dps.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5789719 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 1, 79, -3\/4, -2\/87.\nAnswer: -5, -3\/4, -2\/87, 1, 3, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1807421?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3764 + 0?\nAnswer: 3764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -9. Suppose -m*k + k = -3*f + 34, -2*f + 26 = -k. Is 11 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of h**4\/12 + 3*h**3\/2 + 10*h**2 - 61*h. Let l be x(-6). Sort l, -2, -3 in ascending order.\nAnswer: -3, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/29, -7\/2, -0.3, -2, -1\/5 in descending order.\nAnswer: -1\/5, -6\/29, -0.3, -2, -7\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -8671*o - 346845. What is v(-40)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -66*a**2*i**3 - 173*a**2*i + 73378*i**3 wrt a?\nAnswer: -132*a*i**3 - 346*a*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16\/(-14) - (-132)\/42. Let v(k) = 5*k - f*k - 25 + 24. Let c(h) = h. Let w be c(2). What is v(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 35 = 2*k. Let n = k + -3. What is the third derivative of -h**6 - h**2 - h**2 + h**2 + n*h**6 wrt h?\nAnswer: 360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 128?\nAnswer: -12d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 times 31.3?\nAnswer: 1158.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -26*c - 33. Let q be g(-10). Let m = q - 1129\/5. Factor -30 + 12*t - m*t**2.\nAnswer: -6*(t - 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, y: 4, o: 2}. Give prob of picking 3 y and 1 k.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 67553865331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x**2 + 1184*x - 784740 = 0. Calculate x.\nAnswer: -615, 319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (13 - 2632\/210) + 8\/(-10)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20*6\/(-15) + (-8)\/(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -67 - -5. Let a = i + 61.6. Let u = a + -39.2. What is u rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68, 154, 246, 344?\nAnswer: 448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*g**3 - 18*g**3 - 12302 + 12306 + 41*g**2.\nAnswer: 3*g**3 + 41*g**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 8:15 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 + -6.9. Let w = 326 - 326. Which is the closest to k? (a) 3 (b) w (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**3 + 419*b**2 - 2138*b - 24. What is a(5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1623, -3239, -4843, -6429, -7991, -9523?\nAnswer: -11019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and -10786451.\nAnswer: -10786448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -6.4. Let b be -2 + (-3 - 58\/(-2)). Let s be 10\/b - 1\/4. Put s, a, 2\/3 in descending order.\nAnswer: 2\/3, s, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*g - 63*g**2 + 10*g**2 - 33*g + 43*g**2.\nAnswer: -10*g**2 - 7*g","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v - 7. Let u be f(8). What is the closest to -1 in -2, -5, u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4*l = 15. Suppose 0 = -3*f + f + 4. Suppose 0 = 3*u - 6*u + 45. Solve l*a = -f*j + 2 + 13, -u = 2*a + 5*j for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 2457882.\nAnswer: -5\/2457882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o - o - 5*u + 29, -4*u + 20 = 0. Let h = -9 + 30. Let j = -424 + 8906\/21. Put h, o, j in ascending order.\nAnswer: j, o, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 602873 not equal to 602875?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - 2*r + 4*r)*(-6 + 6 - 12).\nAnswer: -24*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5*-2*12\/(-40). Solve 2*y + z - 2 = 6*y, 6 = -x*z for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1554641ms to seconds.\nAnswer: 0.0001554641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 h when three letters picked without replacement from uyyyynunhugun?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 30 = 4*v, -c = 5*v - 2*c - 52. Sort v, 1, -3 in decreasing order.\nAnswer: v, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16752 and 336.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -96*n**5 + 1433*n**4 - 1318826*n**2 wrt n.\nAnswer: -5760*n**2 + 34392*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4*w = -156, 0*w - 3*w + 586 = 4*g. Is g a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -118801*f**4*y + 4*f**2*y**2 + 2*f*y**2 - 134*f - 165*y**2 wrt f.\nAnswer: -1425612*f**2*y + 8*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 72*m + 6. Let g be t(4). Suppose 5*r = -51 - g. Let p = r - -100. What are the prime factors of p?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 867, -3548, -7963, -12378, -16793?\n\"Answer: -4415*s + 5282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0233264 - 86637.\nAnswer: -86636.9766736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i - i + i)*(-7*i**3 - 15*i**3 + 13*i**3 + (0*i + 2*i - 3*i)*(3*i**2 - i**2 + 0*i**2)) to y*i**4 + w*i**3 + d*i + z*i**2 + f and give y.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 p, and 2 f when four letters picked without replacement from {v: 2, f: 3, z: 1, p: 1, h: 3}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 63561 divided by -59?\nAnswer: -63561\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -47 + 67665?\nAnswer: 67616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 1\/6, 0.36, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 2*o**2 - 724*o + 2927. Calculate f(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-37*v + 37*v + 6*v**2)*(3*v + v**2 - 3*v) + (1 - 1 - v**3)*(v - 2 + 2) in the form y*v**4 + u + h*v + f*v**2 + i*v**3 and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*b - 143*b + 48*b + 51*b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19 by 11486.\nAnswer: 19\/11486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -102175\/139 >= -734?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k. Let g(h) be the third derivative of h**4\/24 + 8*h**2. Calculate g(p(y)).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -93\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42 - 38.1. Let j = -3.79 + l. Let o = j + -0.31. Which is the second smallest value? (a) 1 (b) -0.4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(1\/11)*q*q*q)\/(q*q\/q**9*q) assuming q is positive.\nAnswer: q**(109\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 288 - 273. Let u = 20 - k. What is the third biggest value in u, -2\/3, -5, 2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s**2 - 10*s - 2. Let m(j) = j**2 - j. Let p(f) = -k(f) + 2*m(f). Let t = -97 + 131. Calculate the remainder when t is divided by p(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1006 + -967. What is the remainder when 76 is divided by c?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83444.92 millilitres to litres.\nAnswer: 83.44492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88802024?\nAnswer: 2, 11100253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, b: 4, k: 1, c: 9}. What is prob of sequence pb?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 173584\/5 - 34716. What is the nearest to 4 in 7, g, -1, -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 38.\nAnswer: -5, -3, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 236 + -128. Does 4 divide -8*(-2)\/2*l\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 527 (base 11) to base 15\nAnswer: 2c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -3*s + 7*s. Let i(m) = -5 - m + 5 + 2. Is 5 a factor of i(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(1\/10*(0 + 180\/(-48))). Let c(b) = b**2 - 4*b + 2. Let z be c(2). Sort z, -4, 0, h in decreasing order.\nAnswer: 0, z, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -73, -1, -3, 2, -114 in descending order.\nAnswer: 2, -1, -3, -73, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 878?\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.018 - 24.018. Let p = 22 + w. What is the closest to -1 in p, 2\/3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -199, -200, -201, -202?\n\"Answer: -p - 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence orr when three letters picked without replacement from uuoroouuoorur.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20)\/1*12\/(-10). Let d = f - 19. Solve 0 = d*n - 3*n + 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1578\/14 - (475\/5320)\/((-15)\/(-288))?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 - (-7 - 56664\/4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0029 + 434.\nAnswer: 433.9971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 12887192?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 10*f**2 - 9. Let g(w) = -w**3 - 9*w**2 + 7. Let c(o) = -3*g(o) - 2*m(o). Determine c(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19547259 is divided by 1408?\nAnswer: 1403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -0.1, 0.07, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -388*g - 5. Let a(t) = 10087*t + 131. Calculate 5*a(j) + 131*i(j).\nAnswer: -393*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47 - -40. List the prime factors of z.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -2.37, 783?\nAnswer: 783","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - ((-60)\/(-90))\/((-75)\/1080)?\nAnswer: -57\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m. Let q(b) = 3*b - 129. Determine s(q(n)).\nAnswer: 3*n - 129","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 6*n**2 + n + 12. Suppose -63*j + 66*j = -21. Let v be w(j). Let y = v - 55. Let z(t) = 3*t**3 + t. Give z(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 8:10 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 17*o**3 + 25*o**2 - 2*o. Let n(j) = 8*j**3 + 12*j**2 - j. What is 13*n(h) - 6*v(h)?\nAnswer: 2*h**3 + 6*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -f**3\/3 + 3*f**2 - 4*f. Suppose 0 = -6*y + 3*y. Let d be r(y). Solve 0 = -0*x + x + 4*v - 12, -3*x - d = -2*v for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 37*a. Let d(w) be the second derivative of -109*w**3\/6 + 3*w + 30. What is p(d(l))?\nAnswer: -4033*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 631 = 14*l - 111. Calculate the remainder when l is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -167479912042 minus -3?\nAnswer: -167479912039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1847 + -1842. Solve -j*u - 2*k + 13 = 0, 0 = 4*u + 5*k - 2 - 5 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2. Let t(n) = 4*n**2 + 3*n + 3. Let p(z) = 5*b(z) - t(z). Let q be p(3). Let i = -1033\/7 + 148. Sort q, i, 0.1 in descending order.\nAnswer: i, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 + 1 - 4)*(-6*g**3 + 0*g**3 + 4*g**3) + 18*g**3 - 12*g**3 + 28*g**3)*(-12*g - 2*g + 3*g) to n*g + l + w*g**4 + r*g**3 + u*g**2 and give w.\nAnswer: -440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/9 - 1369\/36. Let g = y - -38. Sort 0.1, 5, g in ascending order.\nAnswer: g, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -24 (b) 0.1 (c) -2 (d) 2 (e) -2\/7 (f) -12\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*v - 859 - 330 = -182 for v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 3*o - 79, -58 = -2*o + 547*z - 549*z for o.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 12*g - 2*g.\nAnswer: -14*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 12:27 AM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -24*w + 97. Solve 150*a = 146*a - w for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 - 5)*4\/(-6). Let l(x) = -x**3 + 6*x**2 + x - 1. Let c be l(u). Is 5 <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19953 + -598459\/30. What is the common denominator of (-205)\/(-11)*(-4)\/(-30) and x?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -89\/3*y**3 + 0*y + 0*y**2 - 109. Let s(z) = 2*z**2 + 3 - z**2 - 3. Calculate q(s(o)).\nAnswer: -89*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 278 + 485862.\nAnswer: 486140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 53\/5 of a kilometer?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.14 - -0.4. Let p = -23522 + 23521.46066. Let a = c + p. What is a rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(85) + (sqrt(85) + 3*sqrt(85) - sqrt(85) - sqrt(85))*6)\/sqrt(5).\nAnswer: 65*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 8*s = -24. Let v(h) = -h**3 - 9*h**2 - 9*h + 9. What are the prime factors of v(s)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1220465291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(4\/3)\/(g*g*g\/(((g\/(g**6*g))\/g)\/g*g*g)))**(-17))**(-16\/7) assuming g is positive.\nAnswer: g**(-6256\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of f**4\/9 - 496*f**3\/27 + 920*f**2\/3 - 1792*f + 216. Factor i(d).\nAnswer: 4*(d - 112)*(d - 6)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 - 2*a**2 - 2*a**2)*(0*a - 2*a**3 - a + 0*a).\nAnswer: 4*a**5 + 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -49, 2, -7 in ascending order.\nAnswer: -49, -7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**4\/6 - 19684*y**3\/3 - 13124*y**2 + 78736*y\/3 + 157480\/3 = 0.\nAnswer: -2, 2, 39370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/(4004\/264))\/(((-12)\/(-21))\/(-2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and -991731.\nAnswer: -991731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5 = -4*f, 3*f = -3*n - 2*f + 15. Suppose 19 = 5*t - w - 6, 4*w = t - n. Suppose 3*g = t*u - 21389, -4*g = 3*u + g - 12847. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23.7 + -23.3. Suppose 5*j - 4 = -4*m - 12, -2*j + 5*m - 23 = 0. Let v = 87\/7 + -943\/77. Put 0.5, q, j, v in decreasing order.\nAnswer: 0.5, q, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**2 - 2. Let q(g) = -3*g. Calculate q(w(x)).\nAnswer: -6*x**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*a - 78783 + 157578 - 22*a - 78785.\nAnswer: -40*a + 10","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1255, 1247, 1251, 1273, 1319, 1395, 1507?\nAnswer: 1661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + 2 - 4) + (16 - 38)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 353868983.\nAnswer: 13, 233, 116827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*z - 38 = 72*z. Let q(m) = -8*m**2 + 1. Give q(z).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 14 + 4)*(4*a - 5*a + 2*a) as u*a + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1214372 - 0.316.\nAnswer: 1214371.684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - 5\/1) + 11. Suppose q = -4*h, 3*s - 4*h + 0*h = 17. Solve -s*c = m + 3*m + 27, -5*c = 25 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 5161*g**2 + 2. Let i(w) = 7390554*w**2 + 2865. Calculate 2*i(m) - 2865*o(m).\nAnswer: -5157*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -q**2*r - 132*q*r - 1396*r wrt q.\nAnswer: -2*q*r - 132*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 5410*y - 43284. Calculate w(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and 1.86.\nAnswer: 11.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**4 + 2*t**2.\nAnswer: -2*t**2*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 130 and 502190.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 11:37 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 545843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -21*g + 6*g + 1 + 12*g. Let a be y(5). Let k = -12 - a. Solve 5*c + 3 = -k for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + (-27)\/33 + (-21930)\/(-22) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5164 + -2?\nAnswer: -5166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 89561.36462 and 92.74.\nAnswer: 89654.10462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -4\/63*z**7 + 0*z**3 + 1\/36*z**4 + 0 - 7\/60*z**5 + 0*z**2 + 3*z + 7\/45*z**6. Find h, given that x(h) = 0.\nAnswer: 0, 1\/4, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of -3\/160*i**6 + 1\/20*i**5 + i**2 + 0 + 0*i**3 + 0*i - 1\/24*i**4. Factor o(d).\nAnswer: -d*(3*d - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 6*q = 147. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -4*s - 5*t, 0*s - 5*t = -s - 6. Let g = -6 + 3. Sort 2, g, s in ascending order.\nAnswer: g, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5 - 7\/7) + 1316.\nAnswer: 2, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 122866?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 4*r**3 - 9*r**2 - 13. Let n(v) = -4 + 12 - 2*v**2 - 11 + v**3. Let j(y) = -2*b(y) + 9*n(y). Let z be j(0). Which is smaller: 2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven quarters of a kilogram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(6\/(-8)) + -7 + 5. Solve -4*a + 0 = -b*t + 24, 5*t - 40 = 5*a for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1*(sqrt(5) + sqrt(125)) + 5*sqrt(15)\/sqrt(3).\nAnswer: -sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -9*x**2 - 11. Let b be (-10)\/4 - 6\/4. Let g(t) = 3*t**2 + 4. Let z(u) = b*p(u) - 11*g(u). Let h(o) = 8*o**2. Determine h(z(s)).\nAnswer: 72*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 37487335 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3240240 (base 6) to base 3\nAnswer: 22011120120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2. Let z(f) = 6*f**2 - 3*f + 2. Give 5*h(q) + z(q).\nAnswer: q**2 - 3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31087.7 + -36185. Round k to the nearest 100.\nAnswer: -5100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -55660 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316345 is divided by 316339?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 66491 - 5\nAnswer: 66486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-2) + -1)*(-16 + 14). Differentiate 19 + 4*v**3 + 30*v + v + 5*v**3 - 12*v**n - 211 with respect to v.\nAnswer: -9*v**2 + 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 4) + -7 + -17 + 11.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + 15*u**2 - 12135*u + 157439. What is t(13)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 1193*c + 13221. Determine q(-11).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*j - j, -5*j = 2*h - 4. Let y be 25\/10*h\/10. Let i(m) = -4*m**2 - 4*m - 2. Calculate i(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -52*y**3*z**2 - 80611*y**3 + 82*z**2 wrt z.\nAnswer: -104*y**3*z + 164*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3681942 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 21277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + 16840\/(-14) - (-2)\/(-14). Let l = 297 + n. Let q = 1293 + l. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5 and -55133813.\nAnswer: -55133813.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 130186 divided by -7\nAnswer: -18598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 34*s**2 + 33*s + 17. What is the remainder when 36 is divided by i(-33)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**3 + 14360*c**2 - 10310480*c.\nAnswer: -5*c*(c - 1436)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2640633 - -3?\nAnswer: 2640636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 159, 1243, 4129, 9699, 18835, 32419, 51333?\n\"Answer: 147*l**3 + 19*l**2 - 2*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.36756402 rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 5*s + 7. Let m(u) = -u. Let r be 3 + 1 + 0\/(-4). Let o(n) = r*m(n) + a(n). Calculate o(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (0 + 4 - (88 + 43 + -122)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -u**5\/60 - 4*u**2. Let y(p) = -4*p. Determine q(y(w)).\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2596941 and 486.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 999 and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 35, -16, 0.62?\nAnswer: 0.62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1064182 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 44*x - 48*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 395 + -392. Solve 6 = -m + 2*k, 1 + 8 = 2*m + p*k for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -17*h + 9. Suppose -11 - 49 = 6*n. Let k(l) = -l - 16. Let x be k(n). Let z(i) = 4*i - 2. What is x*w(a) - 26*z(a)?\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 2:05 PM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/6 - 26038\/(-1128) and -40\/257.\nAnswer: 1028","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + -3 + 4 + (1 - -19).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33 + -1)\/(-4) + 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 435 - 422. Suppose -v = u + 13 - 12, m = 2*u - 3*v. Solve -u*z - 5*f - 3 = -36, 0 = -z + 3*f - 11 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4438894?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -60*w**2 - 25. Let g(z) = -2*z**2 - 1. Suppose 15*u + 125 = 10*u. Let p(m) = u*g(m) + q(m). Let c(j) = 3*j. Determine p(c(b)).\nAnswer: -90*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4033 and 436.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of (-2 + 475\/5)*(-99)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5244 + 2.962.\nAnswer: 5246.962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4516 + 0*g**2 + 4*g + 2*g**2 - 4515 + 6*g**3 to s*g**2 + m*g**3 + w*g + n and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, v: 4, o: 1, u: 2}. What is prob of picking 1 e, 2 v, and 1 o?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + j**2 - 6*j + 5. Let u be (-8 + 7)*(2 + -4). Let d be p(u). Suppose 0 = d*l + 25, m - 6*l + l - 215 = 0. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of 5*o**2\/2 + 7*o - 21. Let x(r) = 3*r + 4. Determine 4*c(p) - 7*x(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2160)*-1 + (sqrt(180)\/sqrt(192) - sqrt(15)))\/(-2*(sqrt(5) - sqrt(180))).\nAnswer: -51*sqrt(3)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 791480 is divided by 393.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -4*o + 28. Give h(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + -5 - (1 + -1). Let c be (1\/f)\/(12\/10). Let x = 10 + -9.5. Put -2\/3, c, x in decreasing order.\nAnswer: x, c, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(((-21)\/12)\/((-6)\/12))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2722*u + 5327*u - 2247*u + (7*u + 0*u - 13*u)*(-2 - 1 + 2) as p*u + s and give p.\nAnswer: 364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*k**3 + 112*k - 112*k + ((2 + 1 - 4)*(-2*k + 4*k + 0*k) - k + 2*k - 5*k + 3*k + 3*k - 5*k)*(-k**2 + 2*k**2 + k**2).\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((1\/(-2))\/((-46)\/1288))\/2. Solve 5*y = 5*p + 20, 2*p - 4*y + i = -5 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-120)\/105)\/(4\/(-14)). Solve 5 + 1 = 5*z + 4*p, -v*z + 4*p = -12 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -156041.16 to the nearest 100.\nAnswer: -156000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**3 + 4*z**3 - 4*z**3 + (1 + 0 - 2)*(-z**3 - 2*z**3 + 2*z**3).\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c**2*r*s**2 + 4*c**2*r + 12*c**2*s**3 - 2*c*r*s**3 - c*s**2 - 1463*r - 31*s**4 - 6*s**3 wrt s.\nAnswer: 72*c**2 - 12*c*r - 744*s - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jwr when three letters picked without replacement from {w: 5, h: 6, j: 1, r: 1, s: 3, d: 3}.\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -30 + 3 + 4 + 5\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c**2 + 1. Let i(q) = -7*q**2 + 2*q + 2. Give i(n) - 2*u(n).\nAnswer: -13*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -63340264*i**2 + 2*i + 3167474 wrt i?\nAnswer: -126680528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -8\/5, -10\/21, -0.3, 0.32.\nAnswer: -8\/5, -10\/21, -0.3, 0.32, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oggo. What is prob of sequence ogg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - g + 1. Let w(n) = 19*n**3 + n. Let m(h) = p(h) + w(h). Does 7 divide m(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 11*o**2 + 565*o + 39. What is k(30)?\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*q - 622 = -352 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -4*v - 6. Let i(g) = 8*g + 15. Let q(m) = 2*i(m) + 5*t(m). Let x(r) = -2*r**2 + 25. Give q(x(h)).\nAnswer: 8*h**2 - 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-22*(45\/(-12) - -4))\/(55\/110)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12.1 >= 0.0999302?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 34, 40, 48?\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 3 (c) 4 (d) -1035 (e) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (6 + -6 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2125?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 19?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r = 37 + 33. Suppose -r*d + 4*d = 5*h + 31, -5*d - 10 = 0. Let s(k) be the third derivative of k**4\/24 + k**3\/6 + k**2. Determine s(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1881023 is divided by 194?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.08? (a) 6\/11 (b) -4 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 1440*p**2 + 6*p + 47. Is c(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6217*f = 6192*f + 218 + 57 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/3177 and -30\/2471.\nAnswer: 22239","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -80337*r + 25834*r + 34423*r in the form j*r + l and give j.\nAnswer: -20080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/20)\/((-11)\/(440\/6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 62207\/215280 - 131\/2691. Find the common denominator of i and 61\/450.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 16) to base 9.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*x**2 - 2*x**3 - 18*x**2 + 6*x**2.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y - 30 + y**3 + 10 + 2*y + 12 + 9 + 2*y**2. Let u(h) = h**3 + 6*h**2 + 8*h - 4. Let m be u(-3). Determine p(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-8\/5))**(15\/4) assuming b is positive.\nAnswer: b**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 66*u**2 - 111*u - 2966. Calculate c(-65).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -234*j**3 - 106*j**3 - 164*j**2 + 318*j**2 + 10*j**5 + 46*j**4 + 334*j**2 - 144*j = 0. Calculate j.\nAnswer: -9, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -781797 = -78*q - 785541 for q.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 7 - 3246*w**3 - 2 + 3237*w**3 - 2. Let q(y) = -80*y**3 + 26. Calculate -6*q(f) + 52*v(f).\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w + d + 1, -4*d + 3 - 17 = -3*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - 15*f + 40. Let s be m(3). Suppose -s = 2*k, 5*o + 9*k - 36 = 7*k. Solve 10 = o*j - 22 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12208814 to the power of 1\/2, to the nearest integer?\nAnswer: 3494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -30? (a) -11 (b) -5 (c) 4 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/9 + 46\/6. Suppose -20*b + 286 = -354. Calculate the highest common factor of m and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -39 + 11 + (-3 - -7) + 1.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of -w**6\/120 - w**5\/60 - w**4\/24 - w**3\/2 - 6*w**2. Let d be j(0). What is the tens digit of 12*2*1 + d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - i - 1. Let x(t) = 6*t**3 + 2*t**2 + 3*t + 17. Let v(z) = -5*m(z) - x(z). Let f be v(-4). What is the highest common divisor of 20 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100111010110011111 (base 2) to base 5.\nAnswer: -20124213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 35 + 7 = 0. Let s be (-3 - 33\/(-6))*u. Let j(z) = z**3 - 28*z**2 + 28*z - 20. Let p be j(27). Calculate the highest common factor of s and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hnj when three letters picked without replacement from {j: 2, h: 6, n: 2, z: 3}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46654 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -233377*l**3 - 2*l**2 + 726*l - 4?\nAnswer: -1400262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -2\/7 (b) 132 (c) -3 (d) -27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 970 is divided by 460.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by 1498?\nAnswer: 11\/1498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 + -6. What is the greatest common factor of 6 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12412 by 2.\nAnswer: -6206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*s = -55*s + 70 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 113*s**5 + 156*s**3 - 150*s**2 + 27372127*s wrt s?\nAnswer: 2260*s**3 + 936*s - 300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -188915, -755827, -1700689, -3023507, -4724287, -6803035, -9259757?\n\"Answer: -c**3 - 188969*c**2 + 2*c + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = -7*m - 135. Let a be (56\/693)\/((-3)\/63). Is m smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25748609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1580.5 - 1351. What is t rounded to the nearest 10?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9 + -8)\/(1\/5). Suppose -o*m + 12 = -m. Suppose -4*l + 59 + 136 = m*c, -4*l + 201 = c. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-2*(-1 + sqrt(2736)))**2 + (((1 + sqrt(2736) + sqrt(2736))*3)**2 - sqrt(2736)))*3.\nAnswer: 972*sqrt(19) + 328355","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2769 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 403 - 394. Calculate the least common multiple of 174 and t.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114851\/212 + (-3)\/4.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -260654, -261058, -261462, -261866, -262270, -262674?\n\"Answer: -404*r - 260250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1760970 minus 188221.5?\nAnswer: -1949191.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34441*k + 182 + 34441*k - 26*k**3 + 5*k**2 wrt k.\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x + 1908 = -42*x + 10*x + 383 for x.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -23 - 10*q + 39 - 20. Let u be h(-10). Suppose -u = -4*n + 184. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 56857152*o**3 - 12195*o - 2370.\nAnswer: 341142912*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19335 (base 11) to base 7.\nAnswer: -141531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2240735563 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - 22.9034.\nAnswer: -23.3034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 159 and 212?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 23 (b) 2\/19 (c) -7 (d) -0.06 (e) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 4*h**2 - 472*h + 468 = 0.\nAnswer: 1, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -134 - 845?\nAnswer: -979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/2)\/((-2)\/8). Let b be -10*(9\/v)\/(-3). Suppose -b*x = -2*x - 12. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20) + 0)**2 + sqrt(5) - 3*sqrt(20)\/sqrt(4) - (-4*(((sqrt(125)*-2)**2 - sqrt(125)) + sqrt(125)) + -2)) + 5.\nAnswer: -2*sqrt(5) + 2027","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59, -222, -493, -872, -1359, -1954, -2657?\nAnswer: -3468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -57*b + 464. Let w be j(8). Which is smaller: -313 or w?\nAnswer: -313","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4767148, -4767283, -4767612, -4768231, -4769236?\nAnswer: -4770723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*7\/((-63)\/18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 81243987 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 4 (b) 1\/3 (c) 0.56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of 17*y**3\/6 - 98*y - 3. Let s(r) = -9*r**2. What is g(s(p))?\nAnswer: -153*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/5)\/((-2)\/(-10)). Let j(v) = -2 + 17*v**t + 0 + 2. Let n(d) = 0 + 1198*d**2 - 1197*d**2 + 0 + 0. What is n(j(a))?\nAnswer: 289*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Put -5, 183, 1 in decreasing order.\nAnswer: 183, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*t**4 - 61569*t**2 - 1057759*t - 2 wrt t?\nAnswer: -36*t**2 - 123138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -53*q - 8. Let t(v) = -54*v - 7. What is -6*t(f) + 5*w(f)?\nAnswer: 59*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 13) to base 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 964034 is divided by 964024.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -6*w + 12. Let l be (w\/(-14))\/((-9)\/12). Let d = -1263\/28 + 314\/7. Which is the nearest to -0.1? (a) -1 (b) l (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 4*y**3 - 99188*y**2 + 4259008*y - 32675280 = 0.\nAnswer: 10, 33, 24754","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2 - 1 + r**3 - 10 - 14*r + 25*r**2 + 65*r. Is 31 a factor of s(-22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a century in years?\nAnswer: 2550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -1\/588?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/2)*r**(1\/3)\/r)**(2\/13)*((r\/r**(-1))\/r)**(3\/4)*r**(2\/5)\/(r*r**4) assuming r is positive.\nAnswer: r**(-3023\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, 37, 5, -2, -9, 0, 49 in decreasing order.\nAnswer: 49, 37, 5, 0, -2, -9, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 441 and 392.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qf when two letters picked without replacement from nxfxxxnqxxnx?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/6 and 63\/14632?\nAnswer: 43896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -23841 and -1.9022088.\nAnswer: -23842.9022088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*n**3 - 4*n**2 + 58 + 8 - n**2 + 2*n**2 wrt n?\nAnswer: 6*n**2 - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -100813 + 100802. Let h(c) = 4*c - 15. Suppose -y + 5 = 3. Let t(a) = a - 3. Give g*t(o) + y*h(o).\nAnswer: -3*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 1. Let g be 12\/(-42)*14*(-1)\/2. Suppose 2*p + 14 = 3*a + 6*p, 5*p - 14 = -g*a. Let b be l(a). Solve -2 = -x - b for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1224353 and -22.04.\nAnswer: -1224375.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4*z**3 - 6*z + 5. Let c(h) = 9*h**3 - 13*h + 11. Let i = -7 - -1. Determine i*c(b) + 13*q(b).\nAnswer: -2*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468)\/(sqrt(54)\/sqrt(6)))\/(sqrt(4) - ((-3*sqrt(48) - sqrt(48))\/sqrt(12) - sqrt(4))))**2.\nAnswer: 13\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 + 41 = -4*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 29*v + v - 108 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 407, 436, 459, 476, 487?\n\"Answer: -3*b**2 + 38*b + 372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6345617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 178663364 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 2 - 7)*(-1 + 2*h + 0 + 2).\nAnswer: 4*h + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13747\/(-472) + 29 - 606\/16.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55 (base 9) to base 6.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/5 (b) 5 (c) 198 (d) 12 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 6:11 PM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y + 4 = 10*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 192 = -2*l. Is 12 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1254462\/1584)\/(-229)*-24?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 9 = 2*c. Let l(o) = -850*o + 29. Is l(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in six fifths of a minute?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 9\/325238?\nAnswer: 9\/325238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 17261479 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110111 - 101111?\nAnswer: 1001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p - 3. Let o be w(3). Suppose -2*i + 4*i - 18 = o. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0002 in -2\/7, 27, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (4 - -1)) + -20 + 25?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*f*t**2*z**2 + 116*f*t*z**2 + 2*t**2*z + 16*z**2 wrt f?\nAnswer: -2*t**2*z**2 + 116*t*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 18*x. Let v = 718 - 359. Let g(b) = 178*b + 181*b - v*b + 2*b**2. Calculate w(g(o)).\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or -1806\/197?\nAnswer: -1806\/197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do -15153 and -15157 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58 + -55. Let k be -2*(p\/(-2) + -3). What is the greatest common divisor of 72 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 12. Let k be (-2)\/(-10) + (-68)\/(-10). Suppose -j = 2*u - k*u. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 216242 to the nearest integer?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -36533479+0.1\nAnswer: -36533478.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4 + 1589*n**3 + 9484350*n**2.\nAnswer: -n**2*(n - 3975)*(n + 2386)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((i + 3 - 3)*(i + 1 - 1) + 34*i**2 + 9*i - 21*i + 13*i)*(-14*i + 12*i + 27*i) to the form z*i**3 + d*i**2 + k*i + w and give d.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 + -10. Let j = w + -14. Suppose 5*u - 4*c = -3*c + 810, -c = -j*u + 647. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(320) - sqrt(20)) + sqrt(20))\/sqrt(4) + 1 - (1*(3 + sqrt(5) + sqrt(5)) + -2 + sqrt(180)))**2.\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 17c - 806?\nAnswer: -657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2182022.8570183347293822 - -0.4181659182706178. Let k = x + -2181094.275185. Let t = k - 929. Round t to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*h + 44*h - 42*h + 433944 = 0. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 702264 and 696.\nAnswer: 702264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3294\/61*(27\/(-12) - -2)?\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 15099 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -10*s. Let h(t) = -2912 + 6*t**2 + 2912. What is a(h(y))?\nAnswer: -60*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 4, -78774 in decreasing order.\nAnswer: 4, 2, -3, -78774","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50122 and 50122.\nAnswer: 50122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 17 - 13 = -5*m, -3*c + 17 = 2*m. Let s be -1*(m - -1)\/(-2). Let u(x) = -s - 4*x + 1. Let a(z) = -z. What is a(u(n))?\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-80))\/(3\/(-2)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22428 and 10.\nAnswer: 112140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*u + 38*u + 69*u + 1020 = 0 for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 10*c. Let l(j) = -46*j + 10 - 11 + 0*j + 20*j. What is y(l(b))?\nAnswer: -260*b - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/4211 and -6 - ((-2233)\/88 + 13)?\nAnswer: 33688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 195 divided by 68.\nAnswer: 195\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -300747.49 rounded to the nearest ten thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 18*n**3 + 27*n**2 - 19*n - 33. Let a(q) = 6*q**3 + 9*q**2 - 7*q - 12. Calculate -11*a(m) + 4*c(m).\nAnswer: 6*m**3 + 9*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (4 + (-2 - 7 - -7))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-7))\/(31\/((-2821)\/104)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 5)*(6*b - 3*b - b)*(8 + 23 + 13).\nAnswer: -88*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 710\nAnswer: -1420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/1716 and -29\/44.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.06 and 260.4.\nAnswer: 15.624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, q: 1, v: 6, b: 5, g: 2}. What is prob of sequence bqv?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-4))\/(-1 - 0). What is the closest to -1 in 2\/7, -0.2, x?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 i when four letters picked without replacement from iitiiittiititiiiiii.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 7*q**3 + 7*q**2 + q - 6. Let s(o) = 6*o**3 + 6*o**2 + o - 5. Give 4*f(u) - 5*s(u).\nAnswer: -2*u**3 - 2*u**2 - u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 5*s**2 - 6*s - 4. Let i be u(-6). Let k be 3\/6*1\/1. Let t be -1*(7 - 31)\/(-8). Which is the smallest value? (a) t (b) k (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - 15. Solve -n = 4*o + 8 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 19 - 27 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of g**2\/2 - 6*g - 4. Suppose 0 = 4*m - i - 2*i - 29, 4*i = 4. Let w be d(m). Solve -s + 15 = w*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8697900 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Round -1516.5 to the nearest ten.\nAnswer: -1520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 414\/113?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 202.9536 tonnes in kilograms?\nAnswer: 202953.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 18437098?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 166099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1578927 less than -0.893741?\nAnswer: -1578927.893741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x - 1. Let w(a) = -20*a**3 + 13*a**2 - 14*a + 27. Let f(p) = 9*p**3 - 6*p**2 + 7*p - 13. Let g(c) = -13*f(c) - 6*w(c). Determine 6*d(q) + g(q).\nAnswer: 3*q**3 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o - 5. Let k(g) be the first derivative of g**2\/2 - 7*g - 33. Let j(p) = 5*k(p) - 7*z(p). Let t(m) = m**2 - 3*m**2 + 0*m**2. Determine t(j(r)).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -7*a**3 + 5*a**2 + 4*a - 4. Calculate x(2).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c - 4*c + 3 - 2 - 7*c.\nAnswer: -10*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18 or -77\/4?\nAnswer: -77\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.14938 - -0.15. Round q to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.61 + 3.71. Let m be 2\/(-9) + (0 - 0). What is the nearest to 1\/2 in o, m, 6?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -16776, -33538, -50300, -67062, -83824, -100586?\n\"Answer: -16762*r - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33438855?\nAnswer: 3, 5, 47, 47431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 111864 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*o**2 + o**2 + 2*o + 21*o**2 to d + k*o + s*o**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 1 - 1 = -m, -4*m + 8 = -3*z. Suppose 3*b + 30 = -m*b. Let t = b + 10. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 3\/10, -0.4 in ascending order.\nAnswer: -11, -0.4, 3\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1469000 rounded to the nearest one hundred thousand?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 373 a factor of ((-5968160)\/(-24))\/10*(-12)\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -28751 and 124.8.\nAnswer: -3588124.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 17*c**2 - 3*c + 9. Let f be p(16). Suppose 0 = -l - 0*l + f. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 2*c - 20, 2*j + 0*c - c - 11 = 0. Suppose 5*u + 31 - j = 3*i, 0 = -5*u - 25. Solve i = h + 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 7*j**2 + 3*j. Let k(f) = f**3 - f**2 + f. Let p(z) = -k(z) - w(z). Suppose -g + 5*g + 44 = 0. Let i = -16 - g. Calculate p(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4452557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11624963?\nAnswer: 7, 1660709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 116*k + 35 = 118*k, -2*o = -2*k + 4*k + 88 for o.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**3 + a**2 + 2*a - 1. Let d be w(1). What is the second derivative of -23 - 19*p**5 - 1 + 0*p**5 - 5*p + d*p wrt p?\nAnswer: -380*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62608*16.9\nAnswer: -1058075.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 128, 400, 1130, 2546, 4876, 8348, 13190?\n\"Answer: 38*b**3 + b**2 + 3*b + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of c**6\/39 + 66*c**5\/65 + 61*c**4\/13 + 356*c**3\/39 + 9*c**2 + 58*c\/13 - 1047. Factor q(h).\nAnswer: 2*(h + 1)**4*(h + 29)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -edc10 - 414?\nAnswer: -ee024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -b - 56, -b + 0*b - z = 38. Suppose 0 = -3*a - 144 + 153, -k + 5*a = 16. What is the remainder when 2 - b - (k - 1 - -3) is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8654834371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -163, -191, -231, -283, -347?\n\"Answer: -6*g**2 - 10*g - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 53985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*((-33)\/(-11) - 4) + (-24)\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -s**3*v**2 + 14*s**3 + 2*s**2*v - 7*s**2 - 6*s*v**2 wrt s?\nAnswer: -6*v**2 + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 167 - 166.523. Let n = 0.063 + a. Round n to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53443?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3835 is divided by 49.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2968068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + (2*sqrt(208) + sqrt(208))**2 + sqrt(208) + (sqrt(208) + 1*sqrt(208))*4 + 4) + -5 + 1.\nAnswer: 108*sqrt(13) + 5624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -47?\nAnswer: 4\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.249 - 638.751. Let d = -643 - v. Suppose 2*c - c - 26 = 3*y, y = -4. Are c and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.23 (b) 9 (c) -3 (d) 12 (e) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 + 0.4. Let l = -0.3 + p. Let n = 38\/3 - 13. Which is the biggest value? (a) l (b) n (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 39885*u - 438728. Determine i(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 10.7902074 hours?\nAnswer: 0.064227425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 145791603?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -4*c + 29. Calculate the remainder when c is divided by (-2 - 1)\/(-3*(-3)\/(-30)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 1 = -y, -2*b + 4*y - 313 = 2*b - 186 - 159 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + j - 60 = 0, 9*m - j - 60 = 12*m. Let c be (-2)\/((m\/(-75))\/((-4)\/10)). What is the greatest common factor of c and 36?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**3 + 3*q**3 + 0*q**3 + (2*q - 2*q - 3*q**2)*(-4*q + q + 4*q + (0 - 3 - 1)*(16*q + 232 - 232)).\nAnswer: 191*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201469403.\nAnswer: 31, 37, 175649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*s**2 - 2*s**2 + 14 - 84 - 3*s**2.\nAnswer: 2*s**2 - 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 1:45 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 3 + 4 + 6279*c**2 - 5333*c**2 to the form o*c + g*c**2 + y and give g.\nAnswer: 946","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5*f + 174 = 0, 2*u + 2*f - 191 + 31 = 0. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-6)\/(f\/(f**(-2\/45)\/f)) assuming f is positive.\nAnswer: f**(-362\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 PM and 8:44 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 66 + d5a57a?\nAnswer: d5a5e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 471, 465, 459, 453?\nAnswer: 447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 x when two letters picked without replacement from {x: 1, a: 11, q: 2}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16851 + -2.7.\nAnswer: -16853.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 5*c**2 - 5*c. Let k be j(6). Suppose u = -2*u + k. Factor -11*d**4 + 9*d**4 + u*d**3 + 8*d**4 - 4*d**2.\nAnswer: 2*d**2*(d + 1)*(3*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 182 divide 43923698?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u - 9. Let y be r(-9). Suppose -17 - 230 = -5*w - 4*q, y = 5*q - 15. Is w 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 1924940668?\nAnswer: 2, 7, 17, 457, 8849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 8*a**2 + 7*a + 8. Let p be o(-7). Suppose 0 = -p*g + 9*g - 66. What is the greatest common factor of 88 and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -313057.6 or -0.13?\nAnswer: -313057.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 149000 and 659000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11525?\nAnswer: 5, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10011 (base 2) to base 16.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -731*x - 1071*x + 1 + 18 - 19 in the form y + p*x and give p.\nAnswer: -1802","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o - 1. Let d(u) = -2*u**2 + 5*u - 5. Give -3*d(y) + 15*w(y).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 272 and 1360.\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 246904211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/r**(-3)*r)**(6\/5)\/((r**2\/r)\/(r**(-1)*r*r)))**22 assuming r is positive.\nAnswer: r**(792\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and (4\/(-2) - -1)*-8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuuuuu. What is prob of sequence uu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -227332*a. Let c(s) = -2*s**2. Calculate c(b(j)).\nAnswer: -103359676448*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2199.2 and -394.\nAnswer: -866484.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 2. Let h = d - -1. Suppose 5*x + 41 = 5*b - 29, 0 = h*b - x - 44. What is the remainder when b is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -7*k + 1. Let s(f) = 9*f - 4. Let r(i) = -4*i + 2. Let j(v) = -5*r(v) - 3*s(v). Let l(q) = 2*j(q) - 3*z(q). Is l(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 18*x - 6. Let k(b) = -4*b + 1. Let z(u) = 3*k(u) + p(u). Let t(d) = -d. Calculate z(t(w)).\nAnswer: -6*w - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 542913984 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f + 3*f + 138. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 2*b - 71 + 59, 3*b = h + 2. Suppose i = 2*i - 202. What is the units digit of (h - -4)\/1 + i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 25*g - 22. Let v be x(-26). Solve 0 + v = y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1916 = -d - 2*b - 3*b, 5*b = d - 1906. Suppose 8913 = 33*u - d. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 0*g = 555. Suppose -2*k + 5*k + 2*y + g = 0, 4*k + 242 = 2*y. Suppose -5*c + 3*q = 310, -2*q = q. Is k smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g + 4. Let n be l(-6). Suppose 4 = k + 1. Let b(t) = -2*t + 2*t - 3 - t**2. Let r(a) = -a**2 - 2. Calculate k*r(d) + n*b(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -392172 (base 12) to base 9.\nAnswer: -1677045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 602, -1, -314 in descending order.\nAnswer: 602, -1, -314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -18. Let n = -7 - -5. Let l = n + 5. What is the nearest to 1\/4 in l, k, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -144764, -578937, -1302554, -2315615, -3618120, -5210069?\nAnswer: -7091462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, j: 9, c: 1}. What is prob of sequence jct?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-87)\/105 - (-3)\/7. Let c = 67.71 - 68. Let v = c - 0.61. Which is smaller: v or r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 13) to base 9\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 + (-130)\/30)*3. Which is bigger: -29 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 46*x - 21*x - 24*x + 2 + 0 + 11*x**2. Determine i(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51327405 is divided by 1353?\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 14*a + 3*m = -20807997, -2*a - 10403997 = 3*m. What is a rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/(-3))\/((-4)\/(-6)). Suppose -h*r = 2 + 14. Let u be ((-6)\/(-9))\/(r\/6). Sort 5, u, 0 in descending order.\nAnswer: 5, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16692 + -1 + (7 - (12 + -5)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2849336532 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 6*l + 6. Suppose -5 = -4*m - l*r - 1, 5*m = -4*r - 1. Let b(d) = -5 + 2*d**2 - m*d**2 - 5*d**3 + 4*d**3. What is b(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuku. Give prob of picking 1 k and 2 u.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {y: 3, q: 13, n: 4}?\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 20 = -2*q, -5*x + 30 = -q. Let n(k) = -k**2 - x*k + 11*k + 1 + 0. What are the prime factors of n(5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101 (base 2) in base 13?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 942\/9 - (-420)\/(-252)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 b when four letters picked without replacement from {r: 4, a: 1, b: 2, u: 2}?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 + 17 - 61)*(-u - u**3 + u).\nAnswer: 20*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 79 - 56 = 0. What is the greatest common divisor of 81 and v?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2938427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2 + 2130*i - 4272.\nAnswer: 3*(i - 2)*(i + 712)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 92\/32)*(-81 + -7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-155))\/((-1530)\/(-4743)).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3992 a factor of 194222776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1148824 and 1436030.\nAnswer: 5744120","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 2. Suppose -2*u + 14 - 8 = d. Suppose a + 5*c = -a + 27, a = -u*c + 15. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 9 - 28\/(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of 1\/10*q**5 + 0 + 1\/40*q**6 + 0*q + 0*q**3 + 1\/8*q**4 - 3*q**2. Solve p(n) = 0 for n.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**2 - 130*s - s**3 - 370272 - 370274 + 740543 to r*s**2 + i + n*s**3 + l*s and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 11\/2 + (-1)\/2. Suppose 0 = -u + 5*p - 3, -u + a = u + p. Let v(y) = -y + y**3 - 2*y**2 - u*y + 1 + 0. Calculate v(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 + 18. What is the smallest common multiple of (-4)\/1*(1 + u) and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/270)\/(165\/(-52800))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.6461nm in micrometers?\nAnswer: 0.0056461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j + 4 = 28 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8628515?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/460300 and 21\/736480.\nAnswer: 3682400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 238 - 236.99. Let y = -1.00975 + r. What is y rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 0.1 (b) -1 (c) -0.3 (d) -159\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, b: 1, i: 1, d: 6, u: 1, p: 1}. Give prob of sequence ub.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -4*w**3 - w**2 + 1. Let l be g(1). What is the units digit of 2\/l + (-45)\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 499.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 906066 and 658.\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.041 + -0.0409901. What is b rounded to six decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10955 is divided by 147.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8*4\/8 + (258 - 0)?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of -y**4\/12 - 4*y**3 + y**2\/2 - 2*y - 8. What are the prime factors of i(-15)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 8*j**2 - 4*j - 6. Let o = -16 - -20. Suppose r - 9 = -o. Calculate the remainder when n(r) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -8*x**2 - 89*x + 47. Give f(-14).\nAnswer: -275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 75709327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/17 in 0.47, 2, 5, 4, 4\/123?\nAnswer: 4\/123","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 9*m - 6 = 0. Let k be (m\/(-6))\/((-5)\/75). Let b = k + 16. Is b a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 12*y**2 + 14*y - 11. What is l(-13)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 663674?\nAnswer: 2, 11, 97, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 64666, 129331, 193998, 258667, 323338?\n\"Answer: x**2 + 64662*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (6559 - 6559 + 227*y)*(5 - 5 - 2*y) in the form w + m*y + v*y**2 and give v.\nAnswer: -454","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(432) + sqrt(432) + -1.\nAnswer: -4 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-4 + 7 - 9)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*u**3 + 137*u**3 - 14*u**2 + 17*u**2 + 18*u**3.\nAnswer: 181*u**3 + 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -5*i - 3*u - 24, -43*i + 2*u - 383 + 1083 = -102*i for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 552a2 + -41?\nAnswer: 55261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18172 - 18191. Which is bigger: w or -226?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 x when three letters picked without replacement from xxxxaaaaxaxxx.\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/9 + 67\/(-3). Let g = -55 + t. Let m = -28 - g. Does 17 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/3, 0.5, 0.86466, -0.09, 0.3 in increasing order.\nAnswer: -5\/3, -0.09, 0.3, 0.5, 0.86466","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, h: 10}. What is prob of picking 3 h?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6186 or 5315?\nAnswer: 5315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyg when three letters picked without replacement from {g: 1, q: 5, y: 3, t: 1, n: 1}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 7*a**3 - 5*a. Let g(k) = -3*k**3 + 2*k. Determine 9*g(l) + 4*i(l).\nAnswer: l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -6*d. Let t be s(-1). Suppose -4*r = t*r - 180. Is 14 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188235575.\nAnswer: 5, 11, 684493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*a = -5*g + 76*a - 13, -2*g - 6 = 2*a for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, j: 7, n: 5}. What is prob of picking 2 n?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven halves of a millennium?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66461982?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13674 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 15*p - 240. What is the remainder when p is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, h: 1, b: 2}. What is prob of sequence bhg?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 40721 divided by 43\nAnswer: 947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 3*i + 2. Let y be u(4). Suppose 0*w + 3*w - c = 9, -5*w + 5*c + 15 = 0. Suppose -2*s = 3 + w. Is s at least as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -168, -38188, -2 in decreasing order.\nAnswer: -2, -168, -38188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2. Let p be x(2). Let u(a) = a - 8. Let y be u(8). What is the third derivative of f**6 - 3*f**p + 3*f**4 + y*f**4 - f**2 wrt f?\nAnswer: 120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.5103 - -3.4897. What is the nearest to b in 2\/9, -5\/11, -4\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.57 + -1.37. Put -4, -6, r, 2 in descending order.\nAnswer: 2, r, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -436, -420, -390, -340, -264, -156?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 644*t = 5*f + 643*t - 10, 0 = -f + 2*t + 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2451 = -2261. Calculate the remainder when 265 is divided by m.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6a7e0 - 5?\nAnswer: -6a7e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -x + 4. Let u(i) = -8 + 0*i + i + i**x + 7 - 5*i**2. Let m(k) = -17*k**2 + 4*k - 4. Give -2*m(a) + 9*u(a).\nAnswer: -2*a**2 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 45451 plus 256515446?\nAnswer: 256560897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 508*v + 4070. Give m(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 4*z**2 - 7*z + 10. Let v be r(5). Suppose -4 = q - v, 2*u - 4*q - 366 = 0. Calculate the highest common factor of u and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-80)\/(-60) + (-334148)\/6. Let h = k + 1670533\/30. What is the common denominator of h and 62\/45?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -56.63 - -57. Let y = 2.37 - k. Which is the third smallest value? (a) 0.4 (b) -1 (c) 0.1 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3429 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: Four letters picked without replacement from pstpsbtbxpbpbbtb. Give prob of sequence psbs.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*f + 119*f - 376*f + 118*f + 109*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4849260 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -279 at least as big as -266?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 93530 to the power of 1\/2, to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 4. Suppose -s = -4*s + z. Calculate the greatest common factor of s and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -85 - -383?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, m: 1}. Give prob of sequence cm.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/((r**(-8\/5)\/r)\/r)*r\/(r*r**(10\/7))*r**(2\/5)\/(r*(r*r*(r\/r**(-5\/4))\/r)\/r) assuming r is positive.\nAnswer: r**(9\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -3 + sqrt(13) + sqrt(104)\/sqrt(8)*-2 + (sqrt(468) + -4 + sqrt(468) - sqrt(468) - sqrt(13) - sqrt(13)))**2.\nAnswer: -36*sqrt(13) + 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -6 (b) 2\/5 (c) 6\/83 (d) -2\/9 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1, 2\/11, -12, 1\/27?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -62*m + 59. Let a be o(1). Let s(t) = 7*t**2 + 2*t - 1 + t**3 - 2*t**2 + 0*t**2. What is s(a)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of 0 - 11\/6*p**3 + 19\/2*p**2 + 1\/12*p**4 - 2*p. Is u(-13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9368823*c**3 - 377526*c**2 wrt c?\nAnswer: -56212938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 334476*x**2. Let g(l) = -3*l**2. Give g(b(r)).\nAnswer: -335622583728*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-11)\/2)\/((-71)\/710) is divided by 23.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 14*f**2 - 94*f - 80. Calculate a(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -802 = 159*c - 3664 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 6*n - 9 = 0, 5*n - 3 = -2*d + 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 2*i + 294, -3*l + 14*i + 429 = 11*i. Determine d, given that -40 + 15*d**4 - l*d**3 + 224*d + 256*d - 515*d + 205*d**2 = 0.\nAnswer: -1\/3, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/(sqrt(216) - sqrt(216)*3))**2.\nAnswer: 13\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w**2 + 314848968*w - 6195617040666564 = 0.\nAnswer: 39356121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 59029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is n in n**4 + 9*n**3 + 28*n**2 + 36*n + 16 = 0?\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cfwfwcdfcr. Give prob of picking 1 r and 1 w.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -27*s**3\/2 - 33*s**2\/2 - 3*s = 0.\nAnswer: -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bmbmmbmmmmmbmm. Give prob of sequence bbm.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*t + 4*i - 27 + 29, -2*i = 5*t + 2*i - 22 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 4*r + 13. Let a(u) = 2 + 0 - 1. Let n(g) = 6*a(g) - y(g). Let p(h) = -h - 2. Determine -2*n(c) + 7*p(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9 - 8)\/(2\/4). Suppose u - s*u = -159. Suppose u = 3*p - 3*m, -4*m + 159 = 3*p - 2*m. Is p a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/(-24))\/((-21)\/4).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-32)\/24 + -3*(-4)\/(-18). Let i be q\/(-10) + (-78)\/(-10). What is the greatest common factor of 16 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.5 + 6. Which is the third biggest value? (a) -0.1 (b) -2\/13 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8, -418, -4, -13, -1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = 67 - 751. Does 19 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 59 = -67 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 340512233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, 245, 556, 983, 1520?\nAnswer: 2161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 5*x**2. Let g(p) = 1558*p. Determine b(g(s)).\nAnswer: 12136820*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1*6*(3 + 2*sqrt(448) + 3))**2*1.\nAnswer: 7296*sqrt(7) + 65956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 168386000 rounded to the nearest 1000000?\nAnswer: 168000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in 5, -3, 52?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*x = -20, -2*x = -2*a - 4. Suppose -h + 4 = -2. What is the highest common factor of a and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1205 divide 27028150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*x - x. Suppose x*u - 12 = -2*u. Suppose -2*h + p = -2, u*p + 1 = h - p. Solve 4 = 5*z - h for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8896 and 256.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 76 in 0.2, -3\/4, -3, 716, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 15*b**2 - 24*b - 29. Let l be d(-20). Suppose -3*c - 6064 - 2520 = -4*j, l = 3*j + c. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -5*x**3 - 12225*x**2 + 171885*x - 602455 = 0.\nAnswer: -2459, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2655351425 to the power of 1\/5, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u + 6. Let p(i) = 439*i + 99. Let q(j) = -114*j - 25. Let b(w) = -6*p(w) - 23*q(w). Determine 2*b(s) + 7*x(s).\nAnswer: 4*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20.7 - 17.7. Which is the closest to p? (a) -2\/3 (b) 2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixteen sevenths of a week in days?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*g**3 - 11145795*g**2\/4 + 99516*g.\nAnswer: 3*g*(g - 132688)*(28*g - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 10:20 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/sqrt(4))**2*-2*-3 + (1 + sqrt(20) - sqrt(20) - sqrt(5))**2 + 5.\nAnswer: -2*sqrt(5) + 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 11:53 PM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(sqrt(8)*2) + (sqrt(448) - (sqrt(448) + 1)**2 - sqrt(448)) + (sqrt(84) + -1*sqrt(84)*-2)\/sqrt(12).\nAnswer: -449 - 25*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 224 and 567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 633600 and 660?\nAnswer: 633600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 569524?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 + 872*n**2 + 1732*n + 864.\nAnswer: 4*(n + 1)**2*(n + 216)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.8486, 6, -0.1, 2\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7916 is divided by 48?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 + -21. Find d, given that -4 + 17*d**2 + 8*d**2 - 21*d**g = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 7*o + 34 = y, -o + 4*y + 8 = 0. Suppose -62 = 5*c - m, -2*m - 18 = 3*c + 27. Let n = c + 18. Solve b = -p - 6, b + o = 2*p - n*p for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 5:16 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/(-3))\/(18\/351). Let l be ((-6)\/(-18))\/((-2)\/(-18)). Suppose l*w + w = x. What is the highest common divisor of w and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1203, -1205, -1207, -1209, -1211?\n\"Answer: -2*p - 1201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**3 - 15*w**2 - 30*w + 255. Determine k(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (265\/20 + -13)*28. Solve f*a + 458 = 486 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + m + 4, -3*p + 2*m + 2 + 3 = 0. Let t be (-1 - 30\/(-20))\/(1\/382). Let h = t - 158. What is the greatest common divisor of h and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/13 + 544646172*z\/13 + 37079931584281698\/13.\nAnswer: 2*(z + 136161543)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/3? (a) -18 (b) 12.93 (c) 0.059 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 512986 to the power of 1\/3, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -d*v + 1855045*d - 152961668*v wrt d?\nAnswer: -v + 1855045","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1143043*s**5 - 2*s**3 - 165413*s + 113.\nAnswer: -22860860*s**3 - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + (-9 + 3)\/(-2). Let b(m) = 13*m - 6*m + u - 6*m. Determine b(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - -1)\/(7\/35). Suppose 3*t = -4*u + 86, -i*t - u = 3*u - 154. Does 7 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -7*o**3\/3 - 73*o**2\/3 + 47*o\/3 + 11 = 0.\nAnswer: -11, -3\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/23)*g*g)\/g**2 assuming g is positive.\nAnswer: g**(2\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -149.596 + 152.6. Let y = 0.004 - k. What is the biggest value in 5, y, -8\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -210531 * 0.37.\nAnswer: -77896.47","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 47*w + 498. Determine h(31).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 178 + 4499. Is k greater than or equal to 1559?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15)\/190*(414\/4 + 0). Let j = i - -62\/57. Find the common denominator of j and -149\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 6:29 AM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of w**2 + 0*w**5 - 1\/120*w**6 + 0 + 1\/6*w**3 + 0*w + 0*w**4. Differentiate i(l) wrt l.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7400 to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/324621 and 4\/42627.\nAnswer: 4220073","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1856, 2488, 3120, 3752, 4384, 5016?\n\"Answer: 632*g + 1224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2478 + -2470. Let g = -33 + 46. Let j(t) = t**2 - 14*t + 17. Let r be j(g). Solve -h = v + 3*i, 0 = -r*i - 1 - 11 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2 - 6352*u + 5043488.\nAnswer: 2*(u - 1588)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - x - 15 = -4*x, -x + 5 = -2*m. Solve m = 2*v + 4*n - 1 + 5, -5*n + 5 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**8)\/r**(-3))\/(r**2\/r**(3\/2)) assuming r is positive.\nAnswer: r**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus -3298428.522?\nAnswer: 3298428.722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l**(-26)\/l)*l**(-1\/31) assuming l is positive.\nAnswer: l**(867\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4*v**3 - 5*v**2 + 10*v + 3. Let n(d) = -3 - 5*d**2 + 2*d**2 + 1 + 4*d**2. Let f be n(3). Let j be w(f). What is j rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -332*-57511.2\nAnswer: 19093718.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 133*w**2\/4 + 1985*w\/4 - 1308.\nAnswer: (7*w - 16)*(19*w + 327)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vqqqvqqqqvvqv. Give prob of picking 4 q.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2387\/52 + -15929\/364. Factor 213\/7*w**2 + c*w**3 + 21 + 111*w.\nAnswer: 3*(w + 7)**2*(5*w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -10 + 6 + (-12 - -4 - 4).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 8 - 4 - 8)*(2*o**3 + 0*o + 0*o).\nAnswer: -18*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 345 + -176. Let g = 342 - z. Suppose 9*t - 412 = g. What are the prime factors of t?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 13*n**2 + n - 14. Let s = 47 + -34. Let r be l(s). Let f = 0.764 - 0.764. What is the closest to f in -2\/13, r, 2\/9?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 0.2, -0.127, 8, -5\/2 in descending order.\nAnswer: 29, 8, 0.2, -0.127, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -72 or -2791\/39?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of -1355*s**4\/2 + 4133*s**2 - 156. What is the second derivative of q(m) wrt m?\nAnswer: -16260*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*o + 26 - 96. Is -10 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27870 is divided by 105.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 127200, 127266, 127324, 127374, 127416?\n\"Answer: -4*g**2 + 78*g + 127126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 3*r**2. Let b(j) be the first derivative of 9*j**2\/2 - j + 313. Determine y(b(t)).\nAnswer: 243*t**2 - 54*t + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12615.999994003 - 12616. Round i to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2475347740.\nAnswer: 2, 5, 19, 6514073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -15*p**2. Let o(t) = -t**3 + 8*t**2 + 7*t + 8. Let l be o(8). Let c(x) = 2*x + l - 64. Calculate i(c(v)).\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -241849*s + 120931*s + 120923*s.\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from xcgxcxxc?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 613?\nAnswer: 614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*h + 78 = 102*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 - 9*h**2 + 7*h**2 + 5*h**2 + 1 + 25*h**3 - 20*h**3.\nAnswer: 5*h**3 + 3*h**2 - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-925 - -1 - 0)*(-26)\/26. Calculate the highest common factor of 528 and b.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -124 - -74. Let h be 10\/(-4)*160\/w. Suppose -5*u = -16 + 1. Solve i = u*i + h for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8323 - 3?\nAnswer: 8320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43 + 70. Suppose -p - 3*r = 4*p - 66, p - 4*r - g = 0. Solve -4*v + p = -v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 138532?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 2 - 18 = 2*i, -5*w - 24 = i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 409.78\nAnswer: -163.912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 4*a = -1, 8*h + 8 = 4*h - 2*a for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 2:32 PM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.60541091 and -0.5?\nAnswer: 0.302705455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/9 + (-28)\/(-12). Let y = -2 - -3. Solve h*z - 7 = -y for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6056)\/6)\/((-18)\/27) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 33 = -9*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -358976*x**6 + 93750*x**2?\nAnswer: -43077120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3887 - 152 = -v. Let h = 111763679\/29890 - 198\/2989. Let c = h + v. Find the common denominator of c and 19\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 19 - 19)*(-2*n**3 + 2*n**3 - 2*n**4).\nAnswer: -22*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + 5*t - 9. Let l be x(-7). Suppose -5*w + l*b = -30, 4 = w + b + 2. Suppose w*q - 1 = 11. Solve 15 = -q*p, -11 = -n + 4*p - p for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 4*m = 15, -5*r - 85 = m - 93 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -104 + 105. Let h(u) = 2*u**3 + 2*u**2 + u - 2. Let y be h(p). Suppose y*r + 5*r = 232. What is the highest common factor of 87 and r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 116 = 664. List the prime factors of p.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 498? (a) 1.3 (b) 37 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(170)\/sqrt(10))**2 - (sqrt(17)*3*-2)**2 - 5*((sqrt(1377) - (sqrt(1377) + -4 + sqrt(1377) - sqrt(1377)))*-5 - sqrt(1377))**2) + -1.\nAnswer: -9477 - 1800*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of 0 + 0*b**5 - 1\/70*b**7 + 0*b - 5*b**2 - 1\/3*b**3 + 0*b**6 + 0*b**4. Differentiate o(j) with respect to j.\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 11:40 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -60c09dc?\nAnswer: 60c09dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 3*m - 99. What is the remainder when m is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 11*x + 9 - 7)*(-4 - 2*x + 4).\nAnswer: -20*x**2 - 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i + 61 + 3*i - 2*i + 44.\nAnswer: i + 105","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.43 - 76.43. Let f = 75.2 + k. Is 2\/15 not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/(-8)*(-4320)\/945.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2092697?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -81 + -239. Let n = g - -729. What are the prime factors of n?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from idaptzz. What is prob of sequence zit?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.8 + 20.2. Let u = w + 14. Let c = u - 35.0000042. Round c to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 26. Let t = -1131 + 1129. Sort t, p, 3.\nAnswer: t, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 322, 645, 966, 1285, 1602, 1917, 2230?\n\"Answer: -w**2 + 326*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = -w + 3*w + 2*b, 127 = 2*w + 3*b. Let c be (-5)\/(130\/(-4)) + 315\/w. Suppose 3*s + 3 - 32 = -c*a, -5*a - 2*s + 26 = 0. Is a a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence frm when three letters picked without replacement from hmfaamhmahhbaraafrh?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -22, -149, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 16 = -4 - 2, 0 = -5*d - f + 53 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 89, 93, 99, 107?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -4 (b) -1\/3 (c) 0.017\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 9:28 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = 3*k - 5*q + 145, -4*k + q = 232. What is the units digit of (0 - 18\/(-4))\/(k\/(-1710))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 14*f**2 - 10*f - 14. Let t(b) = -b**2 + b + 4. Let r(q) = 2*q**2 - 2*q - 7. Let w(z) = 3*r(z) + 5*t(z). Give -n(x) + 12*w(x).\nAnswer: -2*x**2 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of 29*z**4\/4 - 14*z**3\/3 + 17. Find the third derivative of q(g) wrt g.\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of h**3*w**3 + 63*h**3 - 2*h*w - h + 7*w**3 wrt w?\nAnswer: 3*h**3*w**2 - 2*h + 21*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -3031 and -2.63169.\nAnswer: -3033.63169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.08007 and -349649?\nAnswer: 349648.91993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 + 5*h - 3. Let b be a(3). Let i be 0 - (1 + -3 - b). What is f in -10*f**3 - f**5 - 4*f**3 + 4*f**2 - 5*f**i + 16*f**4 = 0?\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/96260 and -113\/96260.\nAnswer: 96260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 139*r**2 - 20*r + 5*r**3 - r**4 + 5*r**3 - 23*r - 138*r**2 in the form y*r + l*r**3 + p + u*r**4 + i*r**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.35 - -0.05. Put t, 60, 1 in ascending order.\nAnswer: t, 1, 60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4*n**2 - 3)*(-n**3 + n**2 - n**2) + 0*n**5 + n + 3*n**5 - 2*n**5.\nAnswer: 5*n**5 + n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 + 21. Suppose 6*j + 10 = 4*j, b*j - 53 = -3*g. Calculate the highest common divisor of g and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s - 2*s = 3*y - 3, 10 = 3*s - y for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-5) - (-165)\/3575.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 10:14 PM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*x + 51*x - 161*x + 56*x - 4*x**2.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 237*h - 91. Does 31 divide t(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 121*n**2 + 403*n + 120 = 0.\nAnswer: -3, -40\/121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**4 + 56*z**3 - 924*z**2 + 864*z.\nAnswer: 4*z*(z - 9)*(z - 1)*(z + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 5 = -r. Let y(n) = 7*n - 7. What are the prime factors of y(r)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2, -4033 - 2824 = -5*z - d. Does 64 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**3 - i**2 - 2*i + 3. Let y be x(-3). Let f be 125\/15 - 2\/(-3). What is the greatest common divisor of f and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -3aaaa?\nAnswer: -3aaa5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 767452.5 rounded to the nearest one thousand?\nAnswer: 767000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 188*b*i - b + 21 wrt i.\nAnswer: 188*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, q: 1, d: 1, g: 1, c: 1}. What is prob of picking 1 c, 1 q, and 1 d?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13022 (base 4) to base 14.\nAnswer: -24a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/80 and -73\/4760.\nAnswer: 9520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/6 (b) 0.2 (c) -0.06 (d) 0.1 (e) -0.12 (f) -1066\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(1\/29))\/(u*u**(-12\/11))*(u\/((u*u**14*u)\/u*u))**(-1\/6) assuming u is positive.\nAnswer: u**(2269\/638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55069036?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1931007847 and -288370?\nAnswer: 1931296217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73849629 is divided by 2446?\nAnswer: 2443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/5, -2, -1.32, -3\/7.\nAnswer: -2, -1.32, -1, -3\/7, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -6. Let t(h) = h + 1. Let m be t(s). Put m, 2, 4 in descending order.\nAnswer: 4, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n + 3*n = -90. Let s be 2*(-5)\/(-20)*n. What is the second derivative of -9*u**s - 18*u + u**2 + 4*u - u**2 wrt u?\nAnswer: -180*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + -2 + 3 + 5. Let h(y) = y - 3. Let f be h(b). Suppose -f*o - 3*l + 5 = -0, -4*l + 9 = 5*o. Which is smaller: o or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 43488*c**3*d + 12*c*d + d - 6470016 with respect to c.\nAnswer: 130464*c**2*d + 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q\/q**(2\/13))*q)\/q*q**(-9)*(q*q**(-2)\/q)**(30\/11) assuming q is positive.\nAnswer: q**(-2188\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 152364 equal to 152364?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}